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      1 This is gprof.info, produced by makeinfo version 4.8 from gprof.texi.
      2 
      3 INFO-DIR-SECTION Software development
      4 START-INFO-DIR-ENTRY
      5 * gprof: (gprof).                Profiling your program's execution
      6 END-INFO-DIR-ENTRY
      7 
      8    This file documents the gprof profiler of the GNU system.
      9 
     10    Copyright (C) 1988-2014 Free Software Foundation, Inc.
     11 
     12    Permission is granted to copy, distribute and/or modify this document
     13 under the terms of the GNU Free Documentation License, Version 1.3 or
     14 any later version published by the Free Software Foundation; with no
     15 Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
     16 Texts.  A copy of the license is included in the section entitled "GNU
     17 Free Documentation License".
     18 
     19 
     20 File: gprof.info,  Node: Top,  Next: Introduction,  Up: (dir)
     21 
     22 Profiling a Program: Where Does It Spend Its Time?
     23 **************************************************
     24 
     25 This manual describes the GNU profiler, `gprof', and how you can use it
     26 to determine which parts of a program are taking most of the execution
     27 time.  We assume that you know how to write, compile, and execute
     28 programs.  GNU `gprof' was written by Jay Fenlason.
     29 
     30    This manual is for `gprof' (GNU Binutils) version 2.25.
     31 
     32    This document is distributed under the terms of the GNU Free
     33 Documentation License version 1.3.  A copy of the license is included
     34 in the section entitled "GNU Free Documentation License".
     35 
     36 * Menu:
     37 
     38 * Introduction::        What profiling means, and why it is useful.
     39 
     40 * Compiling::           How to compile your program for profiling.
     41 * Executing::           Executing your program to generate profile data
     42 * Invoking::            How to run `gprof', and its options
     43 
     44 * Output::              Interpreting `gprof''s output
     45 
     46 * Inaccuracy::          Potential problems you should be aware of
     47 * How do I?::           Answers to common questions
     48 * Incompatibilities::   (between GNU `gprof' and Unix `gprof'.)
     49 * Details::             Details of how profiling is done
     50 * GNU Free Documentation License::  GNU Free Documentation License
     51 
     52 
     53 File: gprof.info,  Node: Introduction,  Next: Compiling,  Prev: Top,  Up: Top
     54 
     55 1 Introduction to Profiling
     56 ***************************
     57 
     58 Profiling allows you to learn where your program spent its time and
     59 which functions called which other functions while it was executing.
     60 This information can show you which pieces of your program are slower
     61 than you expected, and might be candidates for rewriting to make your
     62 program execute faster.  It can also tell you which functions are being
     63 called more or less often than you expected.  This may help you spot
     64 bugs that had otherwise been unnoticed.
     65 
     66    Since the profiler uses information collected during the actual
     67 execution of your program, it can be used on programs that are too
     68 large or too complex to analyze by reading the source.  However, how
     69 your program is run will affect the information that shows up in the
     70 profile data.  If you don't use some feature of your program while it
     71 is being profiled, no profile information will be generated for that
     72 feature.
     73 
     74    Profiling has several steps:
     75 
     76    * You must compile and link your program with profiling enabled.
     77      *Note Compiling a Program for Profiling: Compiling.
     78 
     79    * You must execute your program to generate a profile data file.
     80      *Note Executing the Program: Executing.
     81 
     82    * You must run `gprof' to analyze the profile data.  *Note `gprof'
     83      Command Summary: Invoking.
     84 
     85    The next three chapters explain these steps in greater detail.
     86 
     87    Several forms of output are available from the analysis.
     88 
     89    The "flat profile" shows how much time your program spent in each
     90 function, and how many times that function was called.  If you simply
     91 want to know which functions burn most of the cycles, it is stated
     92 concisely here.  *Note The Flat Profile: Flat Profile.
     93 
     94    The "call graph" shows, for each function, which functions called
     95 it, which other functions it called, and how many times.  There is also
     96 an estimate of how much time was spent in the subroutines of each
     97 function.  This can suggest places where you might try to eliminate
     98 function calls that use a lot of time.  *Note The Call Graph: Call
     99 Graph.
    100 
    101    The "annotated source" listing is a copy of the program's source
    102 code, labeled with the number of times each line of the program was
    103 executed.  *Note The Annotated Source Listing: Annotated Source.
    104 
    105    To better understand how profiling works, you may wish to read a
    106 description of its implementation.  *Note Implementation of Profiling:
    107 Implementation.
    108 
    109 
    110 File: gprof.info,  Node: Compiling,  Next: Executing,  Prev: Introduction,  Up: Top
    111 
    112 2 Compiling a Program for Profiling
    113 ***********************************
    114 
    115 The first step in generating profile information for your program is to
    116 compile and link it with profiling enabled.
    117 
    118    To compile a source file for profiling, specify the `-pg' option when
    119 you run the compiler.  (This is in addition to the options you normally
    120 use.)
    121 
    122    To link the program for profiling, if you use a compiler such as `cc'
    123 to do the linking, simply specify `-pg' in addition to your usual
    124 options.  The same option, `-pg', alters either compilation or linking
    125 to do what is necessary for profiling.  Here are examples:
    126 
    127      cc -g -c myprog.c utils.c -pg
    128      cc -o myprog myprog.o utils.o -pg
    129 
    130    The `-pg' option also works with a command that both compiles and
    131 links:
    132 
    133      cc -o myprog myprog.c utils.c -g -pg
    134 
    135    Note: The `-pg' option must be part of your compilation options as
    136 well as your link options.  If it is not then no call-graph data will
    137 be gathered and when you run `gprof' you will get an error message like
    138 this:
    139 
    140      gprof: gmon.out file is missing call-graph data
    141 
    142    If you add the `-Q' switch to suppress the printing of the call
    143 graph data you will still be able to see the time samples:
    144 
    145      Flat profile:
    146 
    147      Each sample counts as 0.01 seconds.
    148        %   cumulative   self              self     total
    149       time   seconds   seconds    calls  Ts/call  Ts/call  name
    150       44.12      0.07     0.07                             zazLoop
    151       35.29      0.14     0.06                             main
    152       20.59      0.17     0.04                             bazMillion
    153 
    154    If you run the linker `ld' directly instead of through a compiler
    155 such as `cc', you may have to specify a profiling startup file
    156 `gcrt0.o' as the first input file instead of the usual startup file
    157 `crt0.o'.  In addition, you would probably want to specify the
    158 profiling C library, `libc_p.a', by writing `-lc_p' instead of the
    159 usual `-lc'.  This is not absolutely necessary, but doing this gives
    160 you number-of-calls information for standard library functions such as
    161 `read' and `open'.  For example:
    162 
    163      ld -o myprog /lib/gcrt0.o myprog.o utils.o -lc_p
    164 
    165    If you are running the program on a system which supports shared
    166 libraries you may run into problems with the profiling support code in
    167 a shared library being called before that library has been fully
    168 initialised.  This is usually detected by the program encountering a
    169 segmentation fault as soon as it is run.  The solution is to link
    170 against a static version of the library containing the profiling
    171 support code, which for `gcc' users can be done via the `-static' or
    172 `-static-libgcc' command line option.  For example:
    173 
    174      gcc -g -pg -static-libgcc myprog.c utils.c -o myprog
    175 
    176    If you compile only some of the modules of the program with `-pg',
    177 you can still profile the program, but you won't get complete
    178 information about the modules that were compiled without `-pg'.  The
    179 only information you get for the functions in those modules is the
    180 total time spent in them; there is no record of how many times they
    181 were called, or from where.  This will not affect the flat profile
    182 (except that the `calls' field for the functions will be blank), but
    183 will greatly reduce the usefulness of the call graph.
    184 
    185    If you wish to perform line-by-line profiling you should use the
    186 `gcov' tool instead of `gprof'.  See that tool's manual or info pages
    187 for more details of how to do this.
    188 
    189    Note, older versions of `gcc' produce line-by-line profiling
    190 information that works with `gprof' rather than `gcov' so there is
    191 still support for displaying this kind of information in `gprof'. *Note
    192 Line-by-line Profiling: Line-by-line.
    193 
    194    It also worth noting that `gcc' implements a
    195 `-finstrument-functions' command line option which will insert calls to
    196 special user supplied instrumentation routines at the entry and exit of
    197 every function in their program.  This can be used to implement an
    198 alternative profiling scheme.
    199 
    200 
    201 File: gprof.info,  Node: Executing,  Next: Invoking,  Prev: Compiling,  Up: Top
    202 
    203 3 Executing the Program
    204 ***********************
    205 
    206 Once the program is compiled for profiling, you must run it in order to
    207 generate the information that `gprof' needs.  Simply run the program as
    208 usual, using the normal arguments, file names, etc.  The program should
    209 run normally, producing the same output as usual.  It will, however, run
    210 somewhat slower than normal because of the time spent collecting and
    211 writing the profile data.
    212 
    213    The way you run the program--the arguments and input that you give
    214 it--may have a dramatic effect on what the profile information shows.
    215 The profile data will describe the parts of the program that were
    216 activated for the particular input you use.  For example, if the first
    217 command you give to your program is to quit, the profile data will show
    218 the time used in initialization and in cleanup, but not much else.
    219 
    220    Your program will write the profile data into a file called
    221 `gmon.out' just before exiting.  If there is already a file called
    222 `gmon.out', its contents are overwritten.  There is currently no way to
    223 tell the program to write the profile data under a different name, but
    224 you can rename the file afterwards if you are concerned that it may be
    225 overwritten.
    226 
    227    In order to write the `gmon.out' file properly, your program must
    228 exit normally: by returning from `main' or by calling `exit'.  Calling
    229 the low-level function `_exit' does not write the profile data, and
    230 neither does abnormal termination due to an unhandled signal.
    231 
    232    The `gmon.out' file is written in the program's _current working
    233 directory_ at the time it exits.  This means that if your program calls
    234 `chdir', the `gmon.out' file will be left in the last directory your
    235 program `chdir''d to.  If you don't have permission to write in this
    236 directory, the file is not written, and you will get an error message.
    237 
    238    Older versions of the GNU profiling library may also write a file
    239 called `bb.out'.  This file, if present, contains an human-readable
    240 listing of the basic-block execution counts.  Unfortunately, the
    241 appearance of a human-readable `bb.out' means the basic-block counts
    242 didn't get written into `gmon.out'.  The Perl script `bbconv.pl',
    243 included with the `gprof' source distribution, will convert a `bb.out'
    244 file into a format readable by `gprof'.  Invoke it like this:
    245 
    246      bbconv.pl < bb.out > BH-DATA
    247 
    248    This translates the information in `bb.out' into a form that `gprof'
    249 can understand.  But you still need to tell `gprof' about the existence
    250 of this translated information.  To do that, include BB-DATA on the
    251 `gprof' command line, _along with `gmon.out'_, like this:
    252 
    253      gprof OPTIONS EXECUTABLE-FILE gmon.out BB-DATA [YET-MORE-PROFILE-DATA-FILES...] [> OUTFILE]
    254 
    255 
    256 File: gprof.info,  Node: Invoking,  Next: Output,  Prev: Executing,  Up: Top
    257 
    258 4 `gprof' Command Summary
    259 *************************
    260 
    261 After you have a profile data file `gmon.out', you can run `gprof' to
    262 interpret the information in it.  The `gprof' program prints a flat
    263 profile and a call graph on standard output.  Typically you would
    264 redirect the output of `gprof' into a file with `>'.
    265 
    266    You run `gprof' like this:
    267 
    268      gprof OPTIONS [EXECUTABLE-FILE [PROFILE-DATA-FILES...]] [> OUTFILE]
    269 
    270 Here square-brackets indicate optional arguments.
    271 
    272    If you omit the executable file name, the file `a.out' is used.  If
    273 you give no profile data file name, the file `gmon.out' is used.  If
    274 any file is not in the proper format, or if the profile data file does
    275 not appear to belong to the executable file, an error message is
    276 printed.
    277 
    278    You can give more than one profile data file by entering all their
    279 names after the executable file name; then the statistics in all the
    280 data files are summed together.
    281 
    282    The order of these options does not matter.
    283 
    284 * Menu:
    285 
    286 * Output Options::      Controlling `gprof''s output style
    287 * Analysis Options::    Controlling how `gprof' analyzes its data
    288 * Miscellaneous Options::
    289 * Deprecated Options::  Options you no longer need to use, but which
    290                             have been retained for compatibility
    291 * Symspecs::            Specifying functions to include or exclude
    292 
    293 
    294 File: gprof.info,  Node: Output Options,  Next: Analysis Options,  Up: Invoking
    295 
    296 4.1 Output Options
    297 ==================
    298 
    299 These options specify which of several output formats `gprof' should
    300 produce.
    301 
    302    Many of these options take an optional "symspec" to specify
    303 functions to be included or excluded.  These options can be specified
    304 multiple times, with different symspecs, to include or exclude sets of
    305 symbols.  *Note Symspecs: Symspecs.
    306 
    307    Specifying any of these options overrides the default (`-p -q'),
    308 which prints a flat profile and call graph analysis for all functions.
    309 
    310 `-A[SYMSPEC]'
    311 `--annotated-source[=SYMSPEC]'
    312      The `-A' option causes `gprof' to print annotated source code.  If
    313      SYMSPEC is specified, print output only for matching symbols.
    314      *Note The Annotated Source Listing: Annotated Source.
    315 
    316 `-b'
    317 `--brief'
    318      If the `-b' option is given, `gprof' doesn't print the verbose
    319      blurbs that try to explain the meaning of all of the fields in the
    320      tables.  This is useful if you intend to print out the output, or
    321      are tired of seeing the blurbs.
    322 
    323 `-C[SYMSPEC]'
    324 `--exec-counts[=SYMSPEC]'
    325      The `-C' option causes `gprof' to print a tally of functions and
    326      the number of times each was called.  If SYMSPEC is specified,
    327      print tally only for matching symbols.
    328 
    329      If the profile data file contains basic-block count records,
    330      specifying the `-l' option, along with `-C', will cause basic-block
    331      execution counts to be tallied and displayed.
    332 
    333 `-i'
    334 `--file-info'
    335      The `-i' option causes `gprof' to display summary information
    336      about the profile data file(s) and then exit.  The number of
    337      histogram, call graph, and basic-block count records is displayed.
    338 
    339 `-I DIRS'
    340 `--directory-path=DIRS'
    341      The `-I' option specifies a list of search directories in which to
    342      find source files.  Environment variable GPROF_PATH can also be
    343      used to convey this information.  Used mostly for annotated source
    344      output.
    345 
    346 `-J[SYMSPEC]'
    347 `--no-annotated-source[=SYMSPEC]'
    348      The `-J' option causes `gprof' not to print annotated source code.
    349      If SYMSPEC is specified, `gprof' prints annotated source, but
    350      excludes matching symbols.
    351 
    352 `-L'
    353 `--print-path'
    354      Normally, source filenames are printed with the path component
    355      suppressed.  The `-L' option causes `gprof' to print the full
    356      pathname of source filenames, which is determined from symbolic
    357      debugging information in the image file and is relative to the
    358      directory in which the compiler was invoked.
    359 
    360 `-p[SYMSPEC]'
    361 `--flat-profile[=SYMSPEC]'
    362      The `-p' option causes `gprof' to print a flat profile.  If
    363      SYMSPEC is specified, print flat profile only for matching symbols.
    364      *Note The Flat Profile: Flat Profile.
    365 
    366 `-P[SYMSPEC]'
    367 `--no-flat-profile[=SYMSPEC]'
    368      The `-P' option causes `gprof' to suppress printing a flat profile.
    369      If SYMSPEC is specified, `gprof' prints a flat profile, but
    370      excludes matching symbols.
    371 
    372 `-q[SYMSPEC]'
    373 `--graph[=SYMSPEC]'
    374      The `-q' option causes `gprof' to print the call graph analysis.
    375      If SYMSPEC is specified, print call graph only for matching symbols
    376      and their children.  *Note The Call Graph: Call Graph.
    377 
    378 `-Q[SYMSPEC]'
    379 `--no-graph[=SYMSPEC]'
    380      The `-Q' option causes `gprof' to suppress printing the call graph.
    381      If SYMSPEC is specified, `gprof' prints a call graph, but excludes
    382      matching symbols.
    383 
    384 `-t'
    385 `--table-length=NUM'
    386      The `-t' option causes the NUM most active source lines in each
    387      source file to be listed when source annotation is enabled.  The
    388      default is 10.
    389 
    390 `-y'
    391 `--separate-files'
    392      This option affects annotated source output only.  Normally,
    393      `gprof' prints annotated source files to standard-output.  If this
    394      option is specified, annotated source for a file named
    395      `path/FILENAME' is generated in the file `FILENAME-ann'.  If the
    396      underlying file system would truncate `FILENAME-ann' so that it
    397      overwrites the original `FILENAME', `gprof' generates annotated
    398      source in the file `FILENAME.ann' instead (if the original file
    399      name has an extension, that extension is _replaced_ with `.ann').
    400 
    401 `-Z[SYMSPEC]'
    402 `--no-exec-counts[=SYMSPEC]'
    403      The `-Z' option causes `gprof' not to print a tally of functions
    404      and the number of times each was called.  If SYMSPEC is specified,
    405      print tally, but exclude matching symbols.
    406 
    407 `-r'
    408 `--function-ordering'
    409      The `--function-ordering' option causes `gprof' to print a
    410      suggested function ordering for the program based on profiling
    411      data.  This option suggests an ordering which may improve paging,
    412      tlb and cache behavior for the program on systems which support
    413      arbitrary ordering of functions in an executable.
    414 
    415      The exact details of how to force the linker to place functions in
    416      a particular order is system dependent and out of the scope of this
    417      manual.
    418 
    419 `-R MAP_FILE'
    420 `--file-ordering MAP_FILE'
    421      The `--file-ordering' option causes `gprof' to print a suggested
    422      .o link line ordering for the program based on profiling data.
    423      This option suggests an ordering which may improve paging, tlb and
    424      cache behavior for the program on systems which do not support
    425      arbitrary ordering of functions in an executable.
    426 
    427      Use of the `-a' argument is highly recommended with this option.
    428 
    429      The MAP_FILE argument is a pathname to a file which provides
    430      function name to object file mappings.  The format of the file is
    431      similar to the output of the program `nm'.
    432 
    433           c-parse.o:00000000 T yyparse
    434           c-parse.o:00000004 C yyerrflag
    435           c-lang.o:00000000 T maybe_objc_method_name
    436           c-lang.o:00000000 T print_lang_statistics
    437           c-lang.o:00000000 T recognize_objc_keyword
    438           c-decl.o:00000000 T print_lang_identifier
    439           c-decl.o:00000000 T print_lang_type
    440           ...
    441 
    442      To create a MAP_FILE with GNU `nm', type a command like `nm
    443      --extern-only --defined-only -v --print-file-name program-name'.
    444 
    445 `-T'
    446 `--traditional'
    447      The `-T' option causes `gprof' to print its output in
    448      "traditional" BSD style.
    449 
    450 `-w WIDTH'
    451 `--width=WIDTH'
    452      Sets width of output lines to WIDTH.  Currently only used when
    453      printing the function index at the bottom of the call graph.
    454 
    455 `-x'
    456 `--all-lines'
    457      This option affects annotated source output only.  By default,
    458      only the lines at the beginning of a basic-block are annotated.
    459      If this option is specified, every line in a basic-block is
    460      annotated by repeating the annotation for the first line.  This
    461      behavior is similar to `tcov''s `-a'.
    462 
    463 `--demangle[=STYLE]'
    464 `--no-demangle'
    465      These options control whether C++ symbol names should be demangled
    466      when printing output.  The default is to demangle symbols.  The
    467      `--no-demangle' option may be used to turn off demangling.
    468      Different compilers have different mangling styles.  The optional
    469      demangling style argument can be used to choose an appropriate
    470      demangling style for your compiler.
    471 
    472 
    473 File: gprof.info,  Node: Analysis Options,  Next: Miscellaneous Options,  Prev: Output Options,  Up: Invoking
    474 
    475 4.2 Analysis Options
    476 ====================
    477 
    478 `-a'
    479 `--no-static'
    480      The `-a' option causes `gprof' to suppress the printing of
    481      statically declared (private) functions.  (These are functions
    482      whose names are not listed as global, and which are not visible
    483      outside the file/function/block where they were defined.)  Time
    484      spent in these functions, calls to/from them, etc., will all be
    485      attributed to the function that was loaded directly before it in
    486      the executable file.  This option affects both the flat profile
    487      and the call graph.
    488 
    489 `-c'
    490 `--static-call-graph'
    491      The `-c' option causes the call graph of the program to be
    492      augmented by a heuristic which examines the text space of the
    493      object file and identifies function calls in the binary machine
    494      code.  Since normal call graph records are only generated when
    495      functions are entered, this option identifies children that could
    496      have been called, but never were.  Calls to functions that were
    497      not compiled with profiling enabled are also identified, but only
    498      if symbol table entries are present for them.  Calls to dynamic
    499      library routines are typically _not_ found by this option.
    500      Parents or children identified via this heuristic are indicated in
    501      the call graph with call counts of `0'.
    502 
    503 `-D'
    504 `--ignore-non-functions'
    505      The `-D' option causes `gprof' to ignore symbols which are not
    506      known to be functions.  This option will give more accurate
    507      profile data on systems where it is supported (Solaris and HPUX for
    508      example).
    509 
    510 `-k FROM/TO'
    511      The `-k' option allows you to delete from the call graph any arcs
    512      from symbols matching symspec FROM to those matching symspec TO.
    513 
    514 `-l'
    515 `--line'
    516      The `-l' option enables line-by-line profiling, which causes
    517      histogram hits to be charged to individual source code lines,
    518      instead of functions.  This feature only works with programs
    519      compiled by older versions of the `gcc' compiler.  Newer versions
    520      of `gcc' are designed to work with the `gcov' tool instead.
    521 
    522      If the program was compiled with basic-block counting enabled,
    523      this option will also identify how many times each line of code
    524      was executed.  While line-by-line profiling can help isolate where
    525      in a large function a program is spending its time, it also
    526      significantly increases the running time of `gprof', and magnifies
    527      statistical inaccuracies.  *Note Statistical Sampling Error:
    528      Sampling Error.
    529 
    530 `--inline-file-names'
    531      This option causes `gprof' to print the source file after each
    532      symbol in both the flat profile and the call graph. The full path
    533      to the file is printed if used with the `-L' option.
    534 
    535 `-m NUM'
    536 `--min-count=NUM'
    537      This option affects execution count output only.  Symbols that are
    538      executed less than NUM times are suppressed.
    539 
    540 `-nSYMSPEC'
    541 `--time=SYMSPEC'
    542      The `-n' option causes `gprof', in its call graph analysis, to
    543      only propagate times for symbols matching SYMSPEC.
    544 
    545 `-NSYMSPEC'
    546 `--no-time=SYMSPEC'
    547      The `-n' option causes `gprof', in its call graph analysis, not to
    548      propagate times for symbols matching SYMSPEC.
    549 
    550 `-SFILENAME'
    551 `--external-symbol-table=FILENAME'
    552      The `-S' option causes `gprof' to read an external symbol table
    553      file, such as `/proc/kallsyms', rather than read the symbol table
    554      from the given object file (the default is `a.out'). This is useful
    555      for profiling kernel modules.
    556 
    557 `-z'
    558 `--display-unused-functions'
    559      If you give the `-z' option, `gprof' will mention all functions in
    560      the flat profile, even those that were never called, and that had
    561      no time spent in them.  This is useful in conjunction with the
    562      `-c' option for discovering which routines were never called.
    563 
    564 
    565 
    566 File: gprof.info,  Node: Miscellaneous Options,  Next: Deprecated Options,  Prev: Analysis Options,  Up: Invoking
    567 
    568 4.3 Miscellaneous Options
    569 =========================
    570 
    571 `-d[NUM]'
    572 `--debug[=NUM]'
    573      The `-d NUM' option specifies debugging options.  If NUM is not
    574      specified, enable all debugging.  *Note Debugging `gprof':
    575      Debugging.
    576 
    577 `-h'
    578 `--help'
    579      The `-h' option prints command line usage.
    580 
    581 `-ONAME'
    582 `--file-format=NAME'
    583      Selects the format of the profile data files.  Recognized formats
    584      are `auto' (the default), `bsd', `4.4bsd', `magic', and `prof'
    585      (not yet supported).
    586 
    587 `-s'
    588 `--sum'
    589      The `-s' option causes `gprof' to summarize the information in the
    590      profile data files it read in, and write out a profile data file
    591      called `gmon.sum', which contains all the information from the
    592      profile data files that `gprof' read in.  The file `gmon.sum' may
    593      be one of the specified input files; the effect of this is to
    594      merge the data in the other input files into `gmon.sum'.
    595 
    596      Eventually you can run `gprof' again without `-s' to analyze the
    597      cumulative data in the file `gmon.sum'.
    598 
    599 `-v'
    600 `--version'
    601      The `-v' flag causes `gprof' to print the current version number,
    602      and then exit.
    603 
    604 
    605 
    606 File: gprof.info,  Node: Deprecated Options,  Next: Symspecs,  Prev: Miscellaneous Options,  Up: Invoking
    607 
    608 4.4 Deprecated Options
    609 ======================
    610 
    611 These options have been replaced with newer versions that use symspecs.
    612 
    613 `-e FUNCTION_NAME'
    614      The `-e FUNCTION' option tells `gprof' to not print information
    615      about the function FUNCTION_NAME (and its children...) in the call
    616      graph.  The function will still be listed as a child of any
    617      functions that call it, but its index number will be shown as
    618      `[not printed]'.  More than one `-e' option may be given; only one
    619      FUNCTION_NAME may be indicated with each `-e' option.
    620 
    621 `-E FUNCTION_NAME'
    622      The `-E FUNCTION' option works like the `-e' option, but time
    623      spent in the function (and children who were not called from
    624      anywhere else), will not be used to compute the
    625      percentages-of-time for the call graph.  More than one `-E' option
    626      may be given; only one FUNCTION_NAME may be indicated with each
    627      `-E' option.
    628 
    629 `-f FUNCTION_NAME'
    630      The `-f FUNCTION' option causes `gprof' to limit the call graph to
    631      the function FUNCTION_NAME and its children (and their
    632      children...).  More than one `-f' option may be given; only one
    633      FUNCTION_NAME may be indicated with each `-f' option.
    634 
    635 `-F FUNCTION_NAME'
    636      The `-F FUNCTION' option works like the `-f' option, but only time
    637      spent in the function and its children (and their children...)
    638      will be used to determine total-time and percentages-of-time for
    639      the call graph.  More than one `-F' option may be given; only one
    640      FUNCTION_NAME may be indicated with each `-F' option.  The `-F'
    641      option overrides the `-E' option.
    642 
    643 
    644    Note that only one function can be specified with each `-e', `-E',
    645 `-f' or `-F' option.  To specify more than one function, use multiple
    646 options.  For example, this command:
    647 
    648      gprof -e boring -f foo -f bar myprogram > gprof.output
    649 
    650 lists in the call graph all functions that were reached from either
    651 `foo' or `bar' and were not reachable from `boring'.
    652 
    653 
    654 File: gprof.info,  Node: Symspecs,  Prev: Deprecated Options,  Up: Invoking
    655 
    656 4.5 Symspecs
    657 ============
    658 
    659 Many of the output options allow functions to be included or excluded
    660 using "symspecs" (symbol specifications), which observe the following
    661 syntax:
    662 
    663        filename_containing_a_dot
    664      | funcname_not_containing_a_dot
    665      | linenumber
    666      | ( [ any_filename ] `:' ( any_funcname | linenumber ) )
    667 
    668    Here are some sample symspecs:
    669 
    670 `main.c'
    671      Selects everything in file `main.c'--the dot in the string tells
    672      `gprof' to interpret the string as a filename, rather than as a
    673      function name.  To select a file whose name does not contain a
    674      dot, a trailing colon should be specified.  For example, `odd:' is
    675      interpreted as the file named `odd'.
    676 
    677 `main'
    678      Selects all functions named `main'.
    679 
    680      Note that there may be multiple instances of the same function name
    681      because some of the definitions may be local (i.e., static).
    682      Unless a function name is unique in a program, you must use the
    683      colon notation explained below to specify a function from a
    684      specific source file.
    685 
    686      Sometimes, function names contain dots.  In such cases, it is
    687      necessary to add a leading colon to the name.  For example,
    688      `:.mul' selects function `.mul'.
    689 
    690      In some object file formats, symbols have a leading underscore.
    691      `gprof' will normally not print these underscores.  When you name a
    692      symbol in a symspec, you should type it exactly as `gprof' prints
    693      it in its output.  For example, if the compiler produces a symbol
    694      `_main' from your `main' function, `gprof' still prints it as
    695      `main' in its output, so you should use `main' in symspecs.
    696 
    697 `main.c:main'
    698      Selects function `main' in file `main.c'.
    699 
    700 `main.c:134'
    701      Selects line 134 in file `main.c'.
    702 
    703 
    704 File: gprof.info,  Node: Output,  Next: Inaccuracy,  Prev: Invoking,  Up: Top
    705 
    706 5 Interpreting `gprof''s Output
    707 *******************************
    708 
    709 `gprof' can produce several different output styles, the most important
    710 of which are described below.  The simplest output styles (file
    711 information, execution count, and function and file ordering) are not
    712 described here, but are documented with the respective options that
    713 trigger them.  *Note Output Options: Output Options.
    714 
    715 * Menu:
    716 
    717 * Flat Profile::        The flat profile shows how much time was spent
    718                             executing directly in each function.
    719 * Call Graph::          The call graph shows which functions called which
    720                             others, and how much time each function used
    721                             when its subroutine calls are included.
    722 * Line-by-line::        `gprof' can analyze individual source code lines
    723 * Annotated Source::    The annotated source listing displays source code
    724                             labeled with execution counts
    725 
    726 
    727 File: gprof.info,  Node: Flat Profile,  Next: Call Graph,  Up: Output
    728 
    729 5.1 The Flat Profile
    730 ====================
    731 
    732 The "flat profile" shows the total amount of time your program spent
    733 executing each function.  Unless the `-z' option is given, functions
    734 with no apparent time spent in them, and no apparent calls to them, are
    735 not mentioned.  Note that if a function was not compiled for profiling,
    736 and didn't run long enough to show up on the program counter histogram,
    737 it will be indistinguishable from a function that was never called.
    738 
    739    This is part of a flat profile for a small program:
    740 
    741      Flat profile:
    742 
    743      Each sample counts as 0.01 seconds.
    744        %   cumulative   self              self     total
    745       time   seconds   seconds    calls  ms/call  ms/call  name
    746       33.34      0.02     0.02     7208     0.00     0.00  open
    747       16.67      0.03     0.01      244     0.04     0.12  offtime
    748       16.67      0.04     0.01        8     1.25     1.25  memccpy
    749       16.67      0.05     0.01        7     1.43     1.43  write
    750       16.67      0.06     0.01                             mcount
    751        0.00      0.06     0.00      236     0.00     0.00  tzset
    752        0.00      0.06     0.00      192     0.00     0.00  tolower
    753        0.00      0.06     0.00       47     0.00     0.00  strlen
    754        0.00      0.06     0.00       45     0.00     0.00  strchr
    755        0.00      0.06     0.00        1     0.00    50.00  main
    756        0.00      0.06     0.00        1     0.00     0.00  memcpy
    757        0.00      0.06     0.00        1     0.00    10.11  print
    758        0.00      0.06     0.00        1     0.00     0.00  profil
    759        0.00      0.06     0.00        1     0.00    50.00  report
    760      ...
    761 
    762 The functions are sorted first by decreasing run-time spent in them,
    763 then by decreasing number of calls, then alphabetically by name.  The
    764 functions `mcount' and `profil' are part of the profiling apparatus and
    765 appear in every flat profile; their time gives a measure of the amount
    766 of overhead due to profiling.
    767 
    768    Just before the column headers, a statement appears indicating how
    769 much time each sample counted as.  This "sampling period" estimates the
    770 margin of error in each of the time figures.  A time figure that is not
    771 much larger than this is not reliable.  In this example, each sample
    772 counted as 0.01 seconds, suggesting a 100 Hz sampling rate.  The
    773 program's total execution time was 0.06 seconds, as indicated by the
    774 `cumulative seconds' field.  Since each sample counted for 0.01
    775 seconds, this means only six samples were taken during the run.  Two of
    776 the samples occurred while the program was in the `open' function, as
    777 indicated by the `self seconds' field.  Each of the other four samples
    778 occurred one each in `offtime', `memccpy', `write', and `mcount'.
    779 Since only six samples were taken, none of these values can be regarded
    780 as particularly reliable.  In another run, the `self seconds' field for
    781 `mcount' might well be `0.00' or `0.02'.  *Note Statistical Sampling
    782 Error: Sampling Error, for a complete discussion.
    783 
    784    The remaining functions in the listing (those whose `self seconds'
    785 field is `0.00') didn't appear in the histogram samples at all.
    786 However, the call graph indicated that they were called, so therefore
    787 they are listed, sorted in decreasing order by the `calls' field.
    788 Clearly some time was spent executing these functions, but the paucity
    789 of histogram samples prevents any determination of how much time each
    790 took.
    791 
    792    Here is what the fields in each line mean:
    793 
    794 `% time'
    795      This is the percentage of the total execution time your program
    796      spent in this function.  These should all add up to 100%.
    797 
    798 `cumulative seconds'
    799      This is the cumulative total number of seconds the computer spent
    800      executing this functions, plus the time spent in all the functions
    801      above this one in this table.
    802 
    803 `self seconds'
    804      This is the number of seconds accounted for by this function alone.
    805      The flat profile listing is sorted first by this number.
    806 
    807 `calls'
    808      This is the total number of times the function was called.  If the
    809      function was never called, or the number of times it was called
    810      cannot be determined (probably because the function was not
    811      compiled with profiling enabled), the "calls" field is blank.
    812 
    813 `self ms/call'
    814      This represents the average number of milliseconds spent in this
    815      function per call, if this function is profiled.  Otherwise, this
    816      field is blank for this function.
    817 
    818 `total ms/call'
    819      This represents the average number of milliseconds spent in this
    820      function and its descendants per call, if this function is
    821      profiled.  Otherwise, this field is blank for this function.  This
    822      is the only field in the flat profile that uses call graph
    823      analysis.
    824 
    825 `name'
    826      This is the name of the function.   The flat profile is sorted by
    827      this field alphabetically after the "self seconds" and "calls"
    828      fields are sorted.
    829 
    830 
    831 File: gprof.info,  Node: Call Graph,  Next: Line-by-line,  Prev: Flat Profile,  Up: Output
    832 
    833 5.2 The Call Graph
    834 ==================
    835 
    836 The "call graph" shows how much time was spent in each function and its
    837 children.  From this information, you can find functions that, while
    838 they themselves may not have used much time, called other functions
    839 that did use unusual amounts of time.
    840 
    841    Here is a sample call from a small program.  This call came from the
    842 same `gprof' run as the flat profile example in the previous section.
    843 
    844      granularity: each sample hit covers 2 byte(s) for 20.00% of 0.05 seconds
    845 
    846      index % time    self  children    called     name
    847                                                       <spontaneous>
    848      [1]    100.0    0.00    0.05                 start [1]
    849                      0.00    0.05       1/1           main [2]
    850                      0.00    0.00       1/2           on_exit [28]
    851                      0.00    0.00       1/1           exit [59]
    852      -----------------------------------------------
    853                      0.00    0.05       1/1           start [1]
    854      [2]    100.0    0.00    0.05       1         main [2]
    855                      0.00    0.05       1/1           report [3]
    856      -----------------------------------------------
    857                      0.00    0.05       1/1           main [2]
    858      [3]    100.0    0.00    0.05       1         report [3]
    859                      0.00    0.03       8/8           timelocal [6]
    860                      0.00    0.01       1/1           print [9]
    861                      0.00    0.01       9/9           fgets [12]
    862                      0.00    0.00      12/34          strncmp <cycle 1> [40]
    863                      0.00    0.00       8/8           lookup [20]
    864                      0.00    0.00       1/1           fopen [21]
    865                      0.00    0.00       8/8           chewtime [24]
    866                      0.00    0.00       8/16          skipspace [44]
    867      -----------------------------------------------
    868      [4]     59.8    0.01        0.02       8+472     <cycle 2 as a whole> [4]
    869                      0.01        0.02     244+260         offtime <cycle 2> [7]
    870                      0.00        0.00     236+1           tzset <cycle 2> [26]
    871      -----------------------------------------------
    872 
    873    The lines full of dashes divide this table into "entries", one for
    874 each function.  Each entry has one or more lines.
    875 
    876    In each entry, the primary line is the one that starts with an index
    877 number in square brackets.  The end of this line says which function
    878 the entry is for.  The preceding lines in the entry describe the
    879 callers of this function and the following lines describe its
    880 subroutines (also called "children" when we speak of the call graph).
    881 
    882    The entries are sorted by time spent in the function and its
    883 subroutines.
    884 
    885    The internal profiling function `mcount' (*note The Flat Profile:
    886 Flat Profile.) is never mentioned in the call graph.
    887 
    888 * Menu:
    889 
    890 * Primary::       Details of the primary line's contents.
    891 * Callers::       Details of caller-lines' contents.
    892 * Subroutines::   Details of subroutine-lines' contents.
    893 * Cycles::        When there are cycles of recursion,
    894                    such as `a' calls `b' calls `a'...
    895 
    896 
    897 File: gprof.info,  Node: Primary,  Next: Callers,  Up: Call Graph
    898 
    899 5.2.1 The Primary Line
    900 ----------------------
    901 
    902 The "primary line" in a call graph entry is the line that describes the
    903 function which the entry is about and gives the overall statistics for
    904 this function.
    905 
    906    For reference, we repeat the primary line from the entry for function
    907 `report' in our main example, together with the heading line that shows
    908 the names of the fields:
    909 
    910      index  % time    self  children called     name
    911      ...
    912      [3]    100.0    0.00    0.05       1         report [3]
    913 
    914    Here is what the fields in the primary line mean:
    915 
    916 `index'
    917      Entries are numbered with consecutive integers.  Each function
    918      therefore has an index number, which appears at the beginning of
    919      its primary line.
    920 
    921      Each cross-reference to a function, as a caller or subroutine of
    922      another, gives its index number as well as its name.  The index
    923      number guides you if you wish to look for the entry for that
    924      function.
    925 
    926 `% time'
    927      This is the percentage of the total time that was spent in this
    928      function, including time spent in subroutines called from this
    929      function.
    930 
    931      The time spent in this function is counted again for the callers of
    932      this function.  Therefore, adding up these percentages is
    933      meaningless.
    934 
    935 `self'
    936      This is the total amount of time spent in this function.  This
    937      should be identical to the number printed in the `seconds' field
    938      for this function in the flat profile.
    939 
    940 `children'
    941      This is the total amount of time spent in the subroutine calls
    942      made by this function.  This should be equal to the sum of all the
    943      `self' and `children' entries of the children listed directly
    944      below this function.
    945 
    946 `called'
    947      This is the number of times the function was called.
    948 
    949      If the function called itself recursively, there are two numbers,
    950      separated by a `+'.  The first number counts non-recursive calls,
    951      and the second counts recursive calls.
    952 
    953      In the example above, the function `report' was called once from
    954      `main'.
    955 
    956 `name'
    957      This is the name of the current function.  The index number is
    958      repeated after it.
    959 
    960      If the function is part of a cycle of recursion, the cycle number
    961      is printed between the function's name and the index number (*note
    962      How Mutually Recursive Functions Are Described: Cycles.).  For
    963      example, if function `gnurr' is part of cycle number one, and has
    964      index number twelve, its primary line would be end like this:
    965 
    966           gnurr <cycle 1> [12]
    967 
    968 
    969 File: gprof.info,  Node: Callers,  Next: Subroutines,  Prev: Primary,  Up: Call Graph
    970 
    971 5.2.2 Lines for a Function's Callers
    972 ------------------------------------
    973 
    974 A function's entry has a line for each function it was called by.
    975 These lines' fields correspond to the fields of the primary line, but
    976 their meanings are different because of the difference in context.
    977 
    978    For reference, we repeat two lines from the entry for the function
    979 `report', the primary line and one caller-line preceding it, together
    980 with the heading line that shows the names of the fields:
    981 
    982      index  % time    self  children called     name
    983      ...
    984                      0.00    0.05       1/1           main [2]
    985      [3]    100.0    0.00    0.05       1         report [3]
    986 
    987    Here are the meanings of the fields in the caller-line for `report'
    988 called from `main':
    989 
    990 `self'
    991      An estimate of the amount of time spent in `report' itself when it
    992      was called from `main'.
    993 
    994 `children'
    995      An estimate of the amount of time spent in subroutines of `report'
    996      when `report' was called from `main'.
    997 
    998      The sum of the `self' and `children' fields is an estimate of the
    999      amount of time spent within calls to `report' from `main'.
   1000 
   1001 `called'
   1002      Two numbers: the number of times `report' was called from `main',
   1003      followed by the total number of non-recursive calls to `report'
   1004      from all its callers.
   1005 
   1006 `name and index number'
   1007      The name of the caller of `report' to which this line applies,
   1008      followed by the caller's index number.
   1009 
   1010      Not all functions have entries in the call graph; some options to
   1011      `gprof' request the omission of certain functions.  When a caller
   1012      has no entry of its own, it still has caller-lines in the entries
   1013      of the functions it calls.
   1014 
   1015      If the caller is part of a recursion cycle, the cycle number is
   1016      printed between the name and the index number.
   1017 
   1018    If the identity of the callers of a function cannot be determined, a
   1019 dummy caller-line is printed which has `<spontaneous>' as the "caller's
   1020 name" and all other fields blank.  This can happen for signal handlers.
   1021 
   1022 
   1023 File: gprof.info,  Node: Subroutines,  Next: Cycles,  Prev: Callers,  Up: Call Graph
   1024 
   1025 5.2.3 Lines for a Function's Subroutines
   1026 ----------------------------------------
   1027 
   1028 A function's entry has a line for each of its subroutines--in other
   1029 words, a line for each other function that it called.  These lines'
   1030 fields correspond to the fields of the primary line, but their meanings
   1031 are different because of the difference in context.
   1032 
   1033    For reference, we repeat two lines from the entry for the function
   1034 `main', the primary line and a line for a subroutine, together with the
   1035 heading line that shows the names of the fields:
   1036 
   1037      index  % time    self  children called     name
   1038      ...
   1039      [2]    100.0    0.00    0.05       1         main [2]
   1040                      0.00    0.05       1/1           report [3]
   1041 
   1042    Here are the meanings of the fields in the subroutine-line for `main'
   1043 calling `report':
   1044 
   1045 `self'
   1046      An estimate of the amount of time spent directly within `report'
   1047      when `report' was called from `main'.
   1048 
   1049 `children'
   1050      An estimate of the amount of time spent in subroutines of `report'
   1051      when `report' was called from `main'.
   1052 
   1053      The sum of the `self' and `children' fields is an estimate of the
   1054      total time spent in calls to `report' from `main'.
   1055 
   1056 `called'
   1057      Two numbers, the number of calls to `report' from `main' followed
   1058      by the total number of non-recursive calls to `report'.  This
   1059      ratio is used to determine how much of `report''s `self' and
   1060      `children' time gets credited to `main'.  *Note Estimating
   1061      `children' Times: Assumptions.
   1062 
   1063 `name'
   1064      The name of the subroutine of `main' to which this line applies,
   1065      followed by the subroutine's index number.
   1066 
   1067      If the caller is part of a recursion cycle, the cycle number is
   1068      printed between the name and the index number.
   1069 
   1070 
   1071 File: gprof.info,  Node: Cycles,  Prev: Subroutines,  Up: Call Graph
   1072 
   1073 5.2.4 How Mutually Recursive Functions Are Described
   1074 ----------------------------------------------------
   1075 
   1076 The graph may be complicated by the presence of "cycles of recursion"
   1077 in the call graph.  A cycle exists if a function calls another function
   1078 that (directly or indirectly) calls (or appears to call) the original
   1079 function.  For example: if `a' calls `b', and `b' calls `a', then `a'
   1080 and `b' form a cycle.
   1081 
   1082    Whenever there are call paths both ways between a pair of functions,
   1083 they belong to the same cycle.  If `a' and `b' call each other and `b'
   1084 and `c' call each other, all three make one cycle.  Note that even if
   1085 `b' only calls `a' if it was not called from `a', `gprof' cannot
   1086 determine this, so `a' and `b' are still considered a cycle.
   1087 
   1088    The cycles are numbered with consecutive integers.  When a function
   1089 belongs to a cycle, each time the function name appears in the call
   1090 graph it is followed by `<cycle NUMBER>'.
   1091 
   1092    The reason cycles matter is that they make the time values in the
   1093 call graph paradoxical.  The "time spent in children" of `a' should
   1094 include the time spent in its subroutine `b' and in `b''s
   1095 subroutines--but one of `b''s subroutines is `a'!  How much of `a''s
   1096 time should be included in the children of `a', when `a' is indirectly
   1097 recursive?
   1098 
   1099    The way `gprof' resolves this paradox is by creating a single entry
   1100 for the cycle as a whole.  The primary line of this entry describes the
   1101 total time spent directly in the functions of the cycle.  The
   1102 "subroutines" of the cycle are the individual functions of the cycle,
   1103 and all other functions that were called directly by them.  The
   1104 "callers" of the cycle are the functions, outside the cycle, that
   1105 called functions in the cycle.
   1106 
   1107    Here is an example portion of a call graph which shows a cycle
   1108 containing functions `a' and `b'.  The cycle was entered by a call to
   1109 `a' from `main'; both `a' and `b' called `c'.
   1110 
   1111      index  % time    self  children called     name
   1112      ----------------------------------------
   1113                       1.77        0    1/1        main [2]
   1114      [3]     91.71    1.77        0    1+5    <cycle 1 as a whole> [3]
   1115                       1.02        0    3          b <cycle 1> [4]
   1116                       0.75        0    2          a <cycle 1> [5]
   1117      ----------------------------------------
   1118                                        3          a <cycle 1> [5]
   1119      [4]     52.85    1.02        0    0      b <cycle 1> [4]
   1120                                        2          a <cycle 1> [5]
   1121                          0        0    3/6        c [6]
   1122      ----------------------------------------
   1123                       1.77        0    1/1        main [2]
   1124                                        2          b <cycle 1> [4]
   1125      [5]     38.86    0.75        0    1      a <cycle 1> [5]
   1126                                        3          b <cycle 1> [4]
   1127                          0        0    3/6        c [6]
   1128      ----------------------------------------
   1129 
   1130 (The entire call graph for this program contains in addition an entry
   1131 for `main', which calls `a', and an entry for `c', with callers `a' and
   1132 `b'.)
   1133 
   1134      index  % time    self  children called     name
   1135                                                   <spontaneous>
   1136      [1]    100.00       0     1.93    0      start [1]
   1137                       0.16     1.77    1/1        main [2]
   1138      ----------------------------------------
   1139                       0.16     1.77    1/1        start [1]
   1140      [2]    100.00    0.16     1.77    1      main [2]
   1141                       1.77        0    1/1        a <cycle 1> [5]
   1142      ----------------------------------------
   1143                       1.77        0    1/1        main [2]
   1144      [3]     91.71    1.77        0    1+5    <cycle 1 as a whole> [3]
   1145                       1.02        0    3          b <cycle 1> [4]
   1146                       0.75        0    2          a <cycle 1> [5]
   1147                          0        0    6/6        c [6]
   1148      ----------------------------------------
   1149                                        3          a <cycle 1> [5]
   1150      [4]     52.85    1.02        0    0      b <cycle 1> [4]
   1151                                        2          a <cycle 1> [5]
   1152                          0        0    3/6        c [6]
   1153      ----------------------------------------
   1154                       1.77        0    1/1        main [2]
   1155                                        2          b <cycle 1> [4]
   1156      [5]     38.86    0.75        0    1      a <cycle 1> [5]
   1157                                        3          b <cycle 1> [4]
   1158                          0        0    3/6        c [6]
   1159      ----------------------------------------
   1160                          0        0    3/6        b <cycle 1> [4]
   1161                          0        0    3/6        a <cycle 1> [5]
   1162      [6]      0.00       0        0    6      c [6]
   1163      ----------------------------------------
   1164 
   1165    The `self' field of the cycle's primary line is the total time spent
   1166 in all the functions of the cycle.  It equals the sum of the `self'
   1167 fields for the individual functions in the cycle, found in the entry in
   1168 the subroutine lines for these functions.
   1169 
   1170    The `children' fields of the cycle's primary line and subroutine
   1171 lines count only subroutines outside the cycle.  Even though `a' calls
   1172 `b', the time spent in those calls to `b' is not counted in `a''s
   1173 `children' time.  Thus, we do not encounter the problem of what to do
   1174 when the time in those calls to `b' includes indirect recursive calls
   1175 back to `a'.
   1176 
   1177    The `children' field of a caller-line in the cycle's entry estimates
   1178 the amount of time spent _in the whole cycle_, and its other
   1179 subroutines, on the times when that caller called a function in the
   1180 cycle.
   1181 
   1182    The `called' field in the primary line for the cycle has two numbers:
   1183 first, the number of times functions in the cycle were called by
   1184 functions outside the cycle; second, the number of times they were
   1185 called by functions in the cycle (including times when a function in
   1186 the cycle calls itself).  This is a generalization of the usual split
   1187 into non-recursive and recursive calls.
   1188 
   1189    The `called' field of a subroutine-line for a cycle member in the
   1190 cycle's entry says how many time that function was called from
   1191 functions in the cycle.  The total of all these is the second number in
   1192 the primary line's `called' field.
   1193 
   1194    In the individual entry for a function in a cycle, the other
   1195 functions in the same cycle can appear as subroutines and as callers.
   1196 These lines show how many times each function in the cycle called or
   1197 was called from each other function in the cycle.  The `self' and
   1198 `children' fields in these lines are blank because of the difficulty of
   1199 defining meanings for them when recursion is going on.
   1200 
   1201 
   1202 File: gprof.info,  Node: Line-by-line,  Next: Annotated Source,  Prev: Call Graph,  Up: Output
   1203 
   1204 5.3 Line-by-line Profiling
   1205 ==========================
   1206 
   1207 `gprof''s `-l' option causes the program to perform "line-by-line"
   1208 profiling.  In this mode, histogram samples are assigned not to
   1209 functions, but to individual lines of source code.  This only works
   1210 with programs compiled with older versions of the `gcc' compiler.
   1211 Newer versions of `gcc' use a different program - `gcov' - to display
   1212 line-by-line profiling information.
   1213 
   1214    With the older versions of `gcc' the program usually has to be
   1215 compiled with a `-g' option, in addition to `-pg', in order to generate
   1216 debugging symbols for tracking source code lines.  Note, in much older
   1217 versions of `gcc' the program had to be compiled with the `-a' command
   1218 line option as well.
   1219 
   1220    The flat profile is the most useful output table in line-by-line
   1221 mode.  The call graph isn't as useful as normal, since the current
   1222 version of `gprof' does not propagate call graph arcs from source code
   1223 lines to the enclosing function.  The call graph does, however, show
   1224 each line of code that called each function, along with a count.
   1225 
   1226    Here is a section of `gprof''s output, without line-by-line
   1227 profiling.  Note that `ct_init' accounted for four histogram hits, and
   1228 13327 calls to `init_block'.
   1229 
   1230      Flat profile:
   1231 
   1232      Each sample counts as 0.01 seconds.
   1233        %   cumulative   self              self     total
   1234       time   seconds   seconds    calls  us/call  us/call  name
   1235       30.77      0.13     0.04     6335     6.31     6.31  ct_init
   1236 
   1237 
   1238      		     Call graph (explanation follows)
   1239 
   1240 
   1241      granularity: each sample hit covers 4 byte(s) for 7.69% of 0.13 seconds
   1242 
   1243      index % time    self  children    called     name
   1244 
   1245                      0.00    0.00       1/13496       name_too_long
   1246                      0.00    0.00      40/13496       deflate
   1247                      0.00    0.00     128/13496       deflate_fast
   1248                      0.00    0.00   13327/13496       ct_init
   1249      [7]      0.0    0.00    0.00   13496         init_block
   1250 
   1251    Now let's look at some of `gprof''s output from the same program run,
   1252 this time with line-by-line profiling enabled.  Note that `ct_init''s
   1253 four histogram hits are broken down into four lines of source code--one
   1254 hit occurred on each of lines 349, 351, 382 and 385.  In the call graph,
   1255 note how `ct_init''s 13327 calls to `init_block' are broken down into
   1256 one call from line 396, 3071 calls from line 384, 3730 calls from line
   1257 385, and 6525 calls from 387.
   1258 
   1259      Flat profile:
   1260 
   1261      Each sample counts as 0.01 seconds.
   1262        %   cumulative   self
   1263       time   seconds   seconds    calls  name
   1264        7.69      0.10     0.01           ct_init (trees.c:349)
   1265        7.69      0.11     0.01           ct_init (trees.c:351)
   1266        7.69      0.12     0.01           ct_init (trees.c:382)
   1267        7.69      0.13     0.01           ct_init (trees.c:385)
   1268 
   1269 
   1270      		     Call graph (explanation follows)
   1271 
   1272 
   1273      granularity: each sample hit covers 4 byte(s) for 7.69% of 0.13 seconds
   1274 
   1275        % time    self  children    called     name
   1276 
   1277                  0.00    0.00       1/13496       name_too_long (gzip.c:1440)
   1278                  0.00    0.00       1/13496       deflate (deflate.c:763)
   1279                  0.00    0.00       1/13496       ct_init (trees.c:396)
   1280                  0.00    0.00       2/13496       deflate (deflate.c:727)
   1281                  0.00    0.00       4/13496       deflate (deflate.c:686)
   1282                  0.00    0.00       5/13496       deflate (deflate.c:675)
   1283                  0.00    0.00      12/13496       deflate (deflate.c:679)
   1284                  0.00    0.00      16/13496       deflate (deflate.c:730)
   1285                  0.00    0.00     128/13496       deflate_fast (deflate.c:654)
   1286                  0.00    0.00    3071/13496       ct_init (trees.c:384)
   1287                  0.00    0.00    3730/13496       ct_init (trees.c:385)
   1288                  0.00    0.00    6525/13496       ct_init (trees.c:387)
   1289      [6]  0.0    0.00    0.00   13496         init_block (trees.c:408)
   1290 
   1291 
   1292 File: gprof.info,  Node: Annotated Source,  Prev: Line-by-line,  Up: Output
   1293 
   1294 5.4 The Annotated Source Listing
   1295 ================================
   1296 
   1297 `gprof''s `-A' option triggers an annotated source listing, which lists
   1298 the program's source code, each function labeled with the number of
   1299 times it was called.  You may also need to specify the `-I' option, if
   1300 `gprof' can't find the source code files.
   1301 
   1302    With older versions of `gcc' compiling with `gcc ... -g -pg -a'
   1303 augments your program with basic-block counting code, in addition to
   1304 function counting code.  This enables `gprof' to determine how many
   1305 times each line of code was executed.  With newer versions of `gcc'
   1306 support for displaying basic-block counts is provided by the `gcov'
   1307 program.
   1308 
   1309    For example, consider the following function, taken from gzip, with
   1310 line numbers added:
   1311 
   1312       1 ulg updcrc(s, n)
   1313       2     uch *s;
   1314       3     unsigned n;
   1315       4 {
   1316       5     register ulg c;
   1317       6
   1318       7     static ulg crc = (ulg)0xffffffffL;
   1319       8
   1320       9     if (s == NULL) {
   1321      10         c = 0xffffffffL;
   1322      11     } else {
   1323      12         c = crc;
   1324      13         if (n) do {
   1325      14             c = crc_32_tab[...];
   1326      15         } while (--n);
   1327      16     }
   1328      17     crc = c;
   1329      18     return c ^ 0xffffffffL;
   1330      19 }
   1331 
   1332    `updcrc' has at least five basic-blocks.  One is the function
   1333 itself.  The `if' statement on line 9 generates two more basic-blocks,
   1334 one for each branch of the `if'.  A fourth basic-block results from the
   1335 `if' on line 13, and the contents of the `do' loop form the fifth
   1336 basic-block.  The compiler may also generate additional basic-blocks to
   1337 handle various special cases.
   1338 
   1339    A program augmented for basic-block counting can be analyzed with
   1340 `gprof -l -A'.  The `-x' option is also helpful, to ensure that each
   1341 line of code is labeled at least once.  Here is `updcrc''s annotated
   1342 source listing for a sample `gzip' run:
   1343 
   1344                      ulg updcrc(s, n)
   1345                          uch *s;
   1346                          unsigned n;
   1347                  2 ->{
   1348                          register ulg c;
   1349 
   1350                          static ulg crc = (ulg)0xffffffffL;
   1351 
   1352                  2 ->    if (s == NULL) {
   1353                  1 ->        c = 0xffffffffL;
   1354                  1 ->    } else {
   1355                  1 ->        c = crc;
   1356                  1 ->        if (n) do {
   1357              26312 ->            c = crc_32_tab[...];
   1358      26312,1,26311 ->        } while (--n);
   1359                          }
   1360                  2 ->    crc = c;
   1361                  2 ->    return c ^ 0xffffffffL;
   1362                  2 ->}
   1363 
   1364    In this example, the function was called twice, passing once through
   1365 each branch of the `if' statement.  The body of the `do' loop was
   1366 executed a total of 26312 times.  Note how the `while' statement is
   1367 annotated.  It began execution 26312 times, once for each iteration
   1368 through the loop.  One of those times (the last time) it exited, while
   1369 it branched back to the beginning of the loop 26311 times.
   1370 
   1371 
   1372 File: gprof.info,  Node: Inaccuracy,  Next: How do I?,  Prev: Output,  Up: Top
   1373 
   1374 6 Inaccuracy of `gprof' Output
   1375 ******************************
   1376 
   1377 * Menu:
   1378 
   1379 * Sampling Error::      Statistical margins of error
   1380 * Assumptions::         Estimating children times
   1381 
   1382 
   1383 File: gprof.info,  Node: Sampling Error,  Next: Assumptions,  Up: Inaccuracy
   1384 
   1385 6.1 Statistical Sampling Error
   1386 ==============================
   1387 
   1388 The run-time figures that `gprof' gives you are based on a sampling
   1389 process, so they are subject to statistical inaccuracy.  If a function
   1390 runs only a small amount of time, so that on the average the sampling
   1391 process ought to catch that function in the act only once, there is a
   1392 pretty good chance it will actually find that function zero times, or
   1393 twice.
   1394 
   1395    By contrast, the number-of-calls and basic-block figures are derived
   1396 by counting, not sampling.  They are completely accurate and will not
   1397 vary from run to run if your program is deterministic and single
   1398 threaded.  In multi-threaded applications, or single threaded
   1399 applications that link with multi-threaded libraries, the counts are
   1400 only deterministic if the counting function is thread-safe.  (Note:
   1401 beware that the mcount counting function in glibc is _not_
   1402 thread-safe).  *Note Implementation of Profiling: Implementation.
   1403 
   1404    The "sampling period" that is printed at the beginning of the flat
   1405 profile says how often samples are taken.  The rule of thumb is that a
   1406 run-time figure is accurate if it is considerably bigger than the
   1407 sampling period.
   1408 
   1409    The actual amount of error can be predicted.  For N samples, the
   1410 _expected_ error is the square-root of N.  For example, if the sampling
   1411 period is 0.01 seconds and `foo''s run-time is 1 second, N is 100
   1412 samples (1 second/0.01 seconds), sqrt(N) is 10 samples, so the expected
   1413 error in `foo''s run-time is 0.1 seconds (10*0.01 seconds), or ten
   1414 percent of the observed value.  Again, if the sampling period is 0.01
   1415 seconds and `bar''s run-time is 100 seconds, N is 10000 samples,
   1416 sqrt(N) is 100 samples, so the expected error in `bar''s run-time is 1
   1417 second, or one percent of the observed value.  It is likely to vary
   1418 this much _on the average_ from one profiling run to the next.
   1419 (_Sometimes_ it will vary more.)
   1420 
   1421    This does not mean that a small run-time figure is devoid of
   1422 information.  If the program's _total_ run-time is large, a small
   1423 run-time for one function does tell you that that function used an
   1424 insignificant fraction of the whole program's time.  Usually this means
   1425 it is not worth optimizing.
   1426 
   1427    One way to get more accuracy is to give your program more (but
   1428 similar) input data so it will take longer.  Another way is to combine
   1429 the data from several runs, using the `-s' option of `gprof'.  Here is
   1430 how:
   1431 
   1432   1. Run your program once.
   1433 
   1434   2. Issue the command `mv gmon.out gmon.sum'.
   1435 
   1436   3. Run your program again, the same as before.
   1437 
   1438   4. Merge the new data in `gmon.out' into `gmon.sum' with this command:
   1439 
   1440           gprof -s EXECUTABLE-FILE gmon.out gmon.sum
   1441 
   1442   5. Repeat the last two steps as often as you wish.
   1443 
   1444   6. Analyze the cumulative data using this command:
   1445 
   1446           gprof EXECUTABLE-FILE gmon.sum > OUTPUT-FILE
   1447 
   1448 
   1449 File: gprof.info,  Node: Assumptions,  Prev: Sampling Error,  Up: Inaccuracy
   1450 
   1451 6.2 Estimating `children' Times
   1452 ===============================
   1453 
   1454 Some of the figures in the call graph are estimates--for example, the
   1455 `children' time values and all the time figures in caller and
   1456 subroutine lines.
   1457 
   1458    There is no direct information about these measurements in the
   1459 profile data itself.  Instead, `gprof' estimates them by making an
   1460 assumption about your program that might or might not be true.
   1461 
   1462    The assumption made is that the average time spent in each call to
   1463 any function `foo' is not correlated with who called `foo'.  If `foo'
   1464 used 5 seconds in all, and 2/5 of the calls to `foo' came from `a',
   1465 then `foo' contributes 2 seconds to `a''s `children' time, by
   1466 assumption.
   1467 
   1468    This assumption is usually true enough, but for some programs it is
   1469 far from true.  Suppose that `foo' returns very quickly when its
   1470 argument is zero; suppose that `a' always passes zero as an argument,
   1471 while other callers of `foo' pass other arguments.  In this program,
   1472 all the time spent in `foo' is in the calls from callers other than `a'.
   1473 But `gprof' has no way of knowing this; it will blindly and incorrectly
   1474 charge 2 seconds of time in `foo' to the children of `a'.
   1475 
   1476    We hope some day to put more complete data into `gmon.out', so that
   1477 this assumption is no longer needed, if we can figure out how.  For the
   1478 novice, the estimated figures are usually more useful than misleading.
   1479 
   1480 
   1481 File: gprof.info,  Node: How do I?,  Next: Incompatibilities,  Prev: Inaccuracy,  Up: Top
   1482 
   1483 7 Answers to Common Questions
   1484 *****************************
   1485 
   1486 How can I get more exact information about hot spots in my program?
   1487      Looking at the per-line call counts only tells part of the story.
   1488      Because `gprof' can only report call times and counts by function,
   1489      the best way to get finer-grained information on where the program
   1490      is spending its time is to re-factor large functions into sequences
   1491      of calls to smaller ones.  Beware however that this can introduce
   1492      artificial hot spots since compiling with `-pg' adds a significant
   1493      overhead to function calls.  An alternative solution is to use a
   1494      non-intrusive profiler, e.g. oprofile.
   1495 
   1496 How do I find which lines in my program were executed the most times?
   1497      Use the `gcov' program.
   1498 
   1499 How do I find which lines in my program called a particular function?
   1500      Use `gprof -l' and lookup the function in the call graph.  The
   1501      callers will be broken down by function and line number.
   1502 
   1503 How do I analyze a program that runs for less than a second?
   1504      Try using a shell script like this one:
   1505 
   1506           for i in `seq 1 100`; do
   1507             fastprog
   1508             mv gmon.out gmon.out.$i
   1509           done
   1510 
   1511           gprof -s fastprog gmon.out.*
   1512 
   1513           gprof fastprog gmon.sum
   1514 
   1515      If your program is completely deterministic, all the call counts
   1516      will be simple multiples of 100 (i.e., a function called once in
   1517      each run will appear with a call count of 100).
   1518 
   1519 
   1520 
   1521 File: gprof.info,  Node: Incompatibilities,  Next: Details,  Prev: How do I?,  Up: Top
   1522 
   1523 8 Incompatibilities with Unix `gprof'
   1524 *************************************
   1525 
   1526 GNU `gprof' and Berkeley Unix `gprof' use the same data file
   1527 `gmon.out', and provide essentially the same information.  But there
   1528 are a few differences.
   1529 
   1530    * GNU `gprof' uses a new, generalized file format with support for
   1531      basic-block execution counts and non-realtime histograms.  A magic
   1532      cookie and version number allows `gprof' to easily identify new
   1533      style files.  Old BSD-style files can still be read.  *Note
   1534      Profiling Data File Format: File Format.
   1535 
   1536    * For a recursive function, Unix `gprof' lists the function as a
   1537      parent and as a child, with a `calls' field that lists the number
   1538      of recursive calls.  GNU `gprof' omits these lines and puts the
   1539      number of recursive calls in the primary line.
   1540 
   1541    * When a function is suppressed from the call graph with `-e', GNU
   1542      `gprof' still lists it as a subroutine of functions that call it.
   1543 
   1544    * GNU `gprof' accepts the `-k' with its argument in the form
   1545      `from/to', instead of `from to'.
   1546 
   1547    * In the annotated source listing, if there are multiple basic
   1548      blocks on the same line, GNU `gprof' prints all of their counts,
   1549      separated by commas.
   1550 
   1551    * The blurbs, field widths, and output formats are different.  GNU
   1552      `gprof' prints blurbs after the tables, so that you can see the
   1553      tables without skipping the blurbs.
   1554 
   1555 
   1556 File: gprof.info,  Node: Details,  Next: GNU Free Documentation License,  Prev: Incompatibilities,  Up: Top
   1557 
   1558 9 Details of Profiling
   1559 **********************
   1560 
   1561 * Menu:
   1562 
   1563 * Implementation::      How a program collects profiling information
   1564 * File Format::         Format of `gmon.out' files
   1565 * Internals::           `gprof''s internal operation
   1566 * Debugging::           Using `gprof''s `-d' option
   1567 
   1568 
   1569 File: gprof.info,  Node: Implementation,  Next: File Format,  Up: Details
   1570 
   1571 9.1 Implementation of Profiling
   1572 ===============================
   1573 
   1574 Profiling works by changing how every function in your program is
   1575 compiled so that when it is called, it will stash away some information
   1576 about where it was called from.  From this, the profiler can figure out
   1577 what function called it, and can count how many times it was called.
   1578 This change is made by the compiler when your program is compiled with
   1579 the `-pg' option, which causes every function to call `mcount' (or
   1580 `_mcount', or `__mcount', depending on the OS and compiler) as one of
   1581 its first operations.
   1582 
   1583    The `mcount' routine, included in the profiling library, is
   1584 responsible for recording in an in-memory call graph table both its
   1585 parent routine (the child) and its parent's parent.  This is typically
   1586 done by examining the stack frame to find both the address of the
   1587 child, and the return address in the original parent.  Since this is a
   1588 very machine-dependent operation, `mcount' itself is typically a short
   1589 assembly-language stub routine that extracts the required information,
   1590 and then calls `__mcount_internal' (a normal C function) with two
   1591 arguments--`frompc' and `selfpc'.  `__mcount_internal' is responsible
   1592 for maintaining the in-memory call graph, which records `frompc',
   1593 `selfpc', and the number of times each of these call arcs was traversed.
   1594 
   1595    GCC Version 2 provides a magical function
   1596 (`__builtin_return_address'), which allows a generic `mcount' function
   1597 to extract the required information from the stack frame.  However, on
   1598 some architectures, most notably the SPARC, using this builtin can be
   1599 very computationally expensive, and an assembly language version of
   1600 `mcount' is used for performance reasons.
   1601 
   1602    Number-of-calls information for library routines is collected by
   1603 using a special version of the C library.  The programs in it are the
   1604 same as in the usual C library, but they were compiled with `-pg'.  If
   1605 you link your program with `gcc ... -pg', it automatically uses the
   1606 profiling version of the library.
   1607 
   1608    Profiling also involves watching your program as it runs, and
   1609 keeping a histogram of where the program counter happens to be every
   1610 now and then.  Typically the program counter is looked at around 100
   1611 times per second of run time, but the exact frequency may vary from
   1612 system to system.
   1613 
   1614    This is done is one of two ways.  Most UNIX-like operating systems
   1615 provide a `profil()' system call, which registers a memory array with
   1616 the kernel, along with a scale factor that determines how the program's
   1617 address space maps into the array.  Typical scaling values cause every
   1618 2 to 8 bytes of address space to map into a single array slot.  On
   1619 every tick of the system clock (assuming the profiled program is
   1620 running), the value of the program counter is examined and the
   1621 corresponding slot in the memory array is incremented.  Since this is
   1622 done in the kernel, which had to interrupt the process anyway to handle
   1623 the clock interrupt, very little additional system overhead is required.
   1624 
   1625    However, some operating systems, most notably Linux 2.0 (and
   1626 earlier), do not provide a `profil()' system call.  On such a system,
   1627 arrangements are made for the kernel to periodically deliver a signal
   1628 to the process (typically via `setitimer()'), which then performs the
   1629 same operation of examining the program counter and incrementing a slot
   1630 in the memory array.  Since this method requires a signal to be
   1631 delivered to user space every time a sample is taken, it uses
   1632 considerably more overhead than kernel-based profiling.  Also, due to
   1633 the added delay required to deliver the signal, this method is less
   1634 accurate as well.
   1635 
   1636    A special startup routine allocates memory for the histogram and
   1637 either calls `profil()' or sets up a clock signal handler.  This
   1638 routine (`monstartup') can be invoked in several ways.  On Linux
   1639 systems, a special profiling startup file `gcrt0.o', which invokes
   1640 `monstartup' before `main', is used instead of the default `crt0.o'.
   1641 Use of this special startup file is one of the effects of using `gcc
   1642 ... -pg' to link.  On SPARC systems, no special startup files are used.
   1643 Rather, the `mcount' routine, when it is invoked for the first time
   1644 (typically when `main' is called), calls `monstartup'.
   1645 
   1646    If the compiler's `-a' option was used, basic-block counting is also
   1647 enabled.  Each object file is then compiled with a static array of
   1648 counts, initially zero.  In the executable code, every time a new
   1649 basic-block begins (i.e., when an `if' statement appears), an extra
   1650 instruction is inserted to increment the corresponding count in the
   1651 array.  At compile time, a paired array was constructed that recorded
   1652 the starting address of each basic-block.  Taken together, the two
   1653 arrays record the starting address of every basic-block, along with the
   1654 number of times it was executed.
   1655 
   1656    The profiling library also includes a function (`mcleanup') which is
   1657 typically registered using `atexit()' to be called as the program
   1658 exits, and is responsible for writing the file `gmon.out'.  Profiling
   1659 is turned off, various headers are output, and the histogram is
   1660 written, followed by the call-graph arcs and the basic-block counts.
   1661 
   1662    The output from `gprof' gives no indication of parts of your program
   1663 that are limited by I/O or swapping bandwidth.  This is because samples
   1664 of the program counter are taken at fixed intervals of the program's
   1665 run time.  Therefore, the time measurements in `gprof' output say
   1666 nothing about time that your program was not running.  For example, a
   1667 part of the program that creates so much data that it cannot all fit in
   1668 physical memory at once may run very slowly due to thrashing, but
   1669 `gprof' will say it uses little time.  On the other hand, sampling by
   1670 run time has the advantage that the amount of load due to other users
   1671 won't directly affect the output you get.
   1672 
   1673 
   1674 File: gprof.info,  Node: File Format,  Next: Internals,  Prev: Implementation,  Up: Details
   1675 
   1676 9.2 Profiling Data File Format
   1677 ==============================
   1678 
   1679 The old BSD-derived file format used for profile data does not contain a
   1680 magic cookie that allows to check whether a data file really is a
   1681 `gprof' file.  Furthermore, it does not provide a version number, thus
   1682 rendering changes to the file format almost impossible.  GNU `gprof'
   1683 uses a new file format that provides these features.  For backward
   1684 compatibility, GNU `gprof' continues to support the old BSD-derived
   1685 format, but not all features are supported with it.  For example,
   1686 basic-block execution counts cannot be accommodated by the old file
   1687 format.
   1688 
   1689    The new file format is defined in header file `gmon_out.h'.  It
   1690 consists of a header containing the magic cookie and a version number,
   1691 as well as some spare bytes available for future extensions.  All data
   1692 in a profile data file is in the native format of the target for which
   1693 the profile was collected.  GNU `gprof' adapts automatically to the
   1694 byte-order in use.
   1695 
   1696    In the new file format, the header is followed by a sequence of
   1697 records.  Currently, there are three different record types: histogram
   1698 records, call-graph arc records, and basic-block execution count
   1699 records.  Each file can contain any number of each record type.  When
   1700 reading a file, GNU `gprof' will ensure records of the same type are
   1701 compatible with each other and compute the union of all records.  For
   1702 example, for basic-block execution counts, the union is simply the sum
   1703 of all execution counts for each basic-block.
   1704 
   1705 9.2.1 Histogram Records
   1706 -----------------------
   1707 
   1708 Histogram records consist of a header that is followed by an array of
   1709 bins.  The header contains the text-segment range that the histogram
   1710 spans, the size of the histogram in bytes (unlike in the old BSD
   1711 format, this does not include the size of the header), the rate of the
   1712 profiling clock, and the physical dimension that the bin counts
   1713 represent after being scaled by the profiling clock rate.  The physical
   1714 dimension is specified in two parts: a long name of up to 15 characters
   1715 and a single character abbreviation.  For example, a histogram
   1716 representing real-time would specify the long name as "seconds" and the
   1717 abbreviation as "s".  This feature is useful for architectures that
   1718 support performance monitor hardware (which, fortunately, is becoming
   1719 increasingly common).  For example, under DEC OSF/1, the "uprofile"
   1720 command can be used to produce a histogram of, say, instruction cache
   1721 misses.  In this case, the dimension in the histogram header could be
   1722 set to "i-cache misses" and the abbreviation could be set to "1"
   1723 (because it is simply a count, not a physical dimension).  Also, the
   1724 profiling rate would have to be set to 1 in this case.
   1725 
   1726    Histogram bins are 16-bit numbers and each bin represent an equal
   1727 amount of text-space.  For example, if the text-segment is one thousand
   1728 bytes long and if there are ten bins in the histogram, each bin
   1729 represents one hundred bytes.
   1730 
   1731 9.2.2 Call-Graph Records
   1732 ------------------------
   1733 
   1734 Call-graph records have a format that is identical to the one used in
   1735 the BSD-derived file format.  It consists of an arc in the call graph
   1736 and a count indicating the number of times the arc was traversed during
   1737 program execution.  Arcs are specified by a pair of addresses: the
   1738 first must be within caller's function and the second must be within
   1739 the callee's function.  When performing profiling at the function
   1740 level, these addresses can point anywhere within the respective
   1741 function.  However, when profiling at the line-level, it is better if
   1742 the addresses are as close to the call-site/entry-point as possible.
   1743 This will ensure that the line-level call-graph is able to identify
   1744 exactly which line of source code performed calls to a function.
   1745 
   1746 9.2.3 Basic-Block Execution Count Records
   1747 -----------------------------------------
   1748 
   1749 Basic-block execution count records consist of a header followed by a
   1750 sequence of address/count pairs.  The header simply specifies the
   1751 length of the sequence.  In an address/count pair, the address
   1752 identifies a basic-block and the count specifies the number of times
   1753 that basic-block was executed.  Any address within the basic-address can
   1754 be used.
   1755 
   1756 
   1757 File: gprof.info,  Node: Internals,  Next: Debugging,  Prev: File Format,  Up: Details
   1758 
   1759 9.3 `gprof''s Internal Operation
   1760 ================================
   1761 
   1762 Like most programs, `gprof' begins by processing its options.  During
   1763 this stage, it may building its symspec list (`sym_ids.c:sym_id_add'),
   1764 if options are specified which use symspecs.  `gprof' maintains a
   1765 single linked list of symspecs, which will eventually get turned into
   1766 12 symbol tables, organized into six include/exclude pairs--one pair
   1767 each for the flat profile (INCL_FLAT/EXCL_FLAT), the call graph arcs
   1768 (INCL_ARCS/EXCL_ARCS), printing in the call graph
   1769 (INCL_GRAPH/EXCL_GRAPH), timing propagation in the call graph
   1770 (INCL_TIME/EXCL_TIME), the annotated source listing
   1771 (INCL_ANNO/EXCL_ANNO), and the execution count listing
   1772 (INCL_EXEC/EXCL_EXEC).
   1773 
   1774    After option processing, `gprof' finishes building the symspec list
   1775 by adding all the symspecs in `default_excluded_list' to the exclude
   1776 lists EXCL_TIME and EXCL_GRAPH, and if line-by-line profiling is
   1777 specified, EXCL_FLAT as well.  These default excludes are not added to
   1778 EXCL_ANNO, EXCL_ARCS, and EXCL_EXEC.
   1779 
   1780    Next, the BFD library is called to open the object file, verify that
   1781 it is an object file, and read its symbol table (`core.c:core_init'),
   1782 using `bfd_canonicalize_symtab' after mallocing an appropriately sized
   1783 array of symbols.  At this point, function mappings are read (if the
   1784 `--file-ordering' option has been specified), and the core text space
   1785 is read into memory (if the `-c' option was given).
   1786 
   1787    `gprof''s own symbol table, an array of Sym structures, is now built.
   1788 This is done in one of two ways, by one of two routines, depending on
   1789 whether line-by-line profiling (`-l' option) has been enabled.  For
   1790 normal profiling, the BFD canonical symbol table is scanned.  For
   1791 line-by-line profiling, every text space address is examined, and a new
   1792 symbol table entry gets created every time the line number changes.  In
   1793 either case, two passes are made through the symbol table--one to count
   1794 the size of the symbol table required, and the other to actually read
   1795 the symbols.  In between the two passes, a single array of type `Sym'
   1796 is created of the appropriate length.  Finally,
   1797 `symtab.c:symtab_finalize' is called to sort the symbol table and
   1798 remove duplicate entries (entries with the same memory address).
   1799 
   1800    The symbol table must be a contiguous array for two reasons.  First,
   1801 the `qsort' library function (which sorts an array) will be used to
   1802 sort the symbol table.  Also, the symbol lookup routine
   1803 (`symtab.c:sym_lookup'), which finds symbols based on memory address,
   1804 uses a binary search algorithm which requires the symbol table to be a
   1805 sorted array.  Function symbols are indicated with an `is_func' flag.
   1806 Line number symbols have no special flags set.  Additionally, a symbol
   1807 can have an `is_static' flag to indicate that it is a local symbol.
   1808 
   1809    With the symbol table read, the symspecs can now be translated into
   1810 Syms (`sym_ids.c:sym_id_parse').  Remember that a single symspec can
   1811 match multiple symbols.  An array of symbol tables (`syms') is created,
   1812 each entry of which is a symbol table of Syms to be included or
   1813 excluded from a particular listing.  The master symbol table and the
   1814 symspecs are examined by nested loops, and every symbol that matches a
   1815 symspec is inserted into the appropriate syms table.  This is done
   1816 twice, once to count the size of each required symbol table, and again
   1817 to build the tables, which have been malloced between passes.  From now
   1818 on, to determine whether a symbol is on an include or exclude symspec
   1819 list, `gprof' simply uses its standard symbol lookup routine on the
   1820 appropriate table in the `syms' array.
   1821 
   1822    Now the profile data file(s) themselves are read
   1823 (`gmon_io.c:gmon_out_read'), first by checking for a new-style
   1824 `gmon.out' header, then assuming this is an old-style BSD `gmon.out' if
   1825 the magic number test failed.
   1826 
   1827    New-style histogram records are read by `hist.c:hist_read_rec'.  For
   1828 the first histogram record, allocate a memory array to hold all the
   1829 bins, and read them in.  When multiple profile data files (or files
   1830 with multiple histogram records) are read, the memory ranges of each
   1831 pair of histogram records must be either equal, or non-overlapping.
   1832 For each pair of histogram records, the resolution (memory region size
   1833 divided by the number of bins) must be the same.  The time unit must be
   1834 the same for all histogram records. If the above containts are met, all
   1835 histograms for the same memory range are merged.
   1836 
   1837    As each call graph record is read (`call_graph.c:cg_read_rec'), the
   1838 parent and child addresses are matched to symbol table entries, and a
   1839 call graph arc is created by `cg_arcs.c:arc_add', unless the arc fails
   1840 a symspec check against INCL_ARCS/EXCL_ARCS.  As each arc is added, a
   1841 linked list is maintained of the parent's child arcs, and of the child's
   1842 parent arcs.  Both the child's call count and the arc's call count are
   1843 incremented by the record's call count.
   1844 
   1845    Basic-block records are read (`basic_blocks.c:bb_read_rec'), but
   1846 only if line-by-line profiling has been selected.  Each basic-block
   1847 address is matched to a corresponding line symbol in the symbol table,
   1848 and an entry made in the symbol's bb_addr and bb_calls arrays.  Again,
   1849 if multiple basic-block records are present for the same address, the
   1850 call counts are cumulative.
   1851 
   1852    A gmon.sum file is dumped, if requested (`gmon_io.c:gmon_out_write').
   1853 
   1854    If histograms were present in the data files, assign them to symbols
   1855 (`hist.c:hist_assign_samples') by iterating over all the sample bins
   1856 and assigning them to symbols.  Since the symbol table is sorted in
   1857 order of ascending memory addresses, we can simple follow along in the
   1858 symbol table as we make our pass over the sample bins.  This step
   1859 includes a symspec check against INCL_FLAT/EXCL_FLAT.  Depending on the
   1860 histogram scale factor, a sample bin may span multiple symbols, in
   1861 which case a fraction of the sample count is allocated to each symbol,
   1862 proportional to the degree of overlap.  This effect is rare for normal
   1863 profiling, but overlaps are more common during line-by-line profiling,
   1864 and can cause each of two adjacent lines to be credited with half a
   1865 hit, for example.
   1866 
   1867    If call graph data is present, `cg_arcs.c:cg_assemble' is called.
   1868 First, if `-c' was specified, a machine-dependent routine (`find_call')
   1869 scans through each symbol's machine code, looking for subroutine call
   1870 instructions, and adding them to the call graph with a zero call count.
   1871 A topological sort is performed by depth-first numbering all the
   1872 symbols (`cg_dfn.c:cg_dfn'), so that children are always numbered less
   1873 than their parents, then making a array of pointers into the symbol
   1874 table and sorting it into numerical order, which is reverse topological
   1875 order (children appear before parents).  Cycles are also detected at
   1876 this point, all members of which are assigned the same topological
   1877 number.  Two passes are now made through this sorted array of symbol
   1878 pointers.  The first pass, from end to beginning (parents to children),
   1879 computes the fraction of child time to propagate to each parent and a
   1880 print flag.  The print flag reflects symspec handling of
   1881 INCL_GRAPH/EXCL_GRAPH, with a parent's include or exclude (print or no
   1882 print) property being propagated to its children, unless they
   1883 themselves explicitly appear in INCL_GRAPH or EXCL_GRAPH.  A second
   1884 pass, from beginning to end (children to parents) actually propagates
   1885 the timings along the call graph, subject to a check against
   1886 INCL_TIME/EXCL_TIME.  With the print flag, fractions, and timings now
   1887 stored in the symbol structures, the topological sort array is now
   1888 discarded, and a new array of pointers is assembled, this time sorted
   1889 by propagated time.
   1890 
   1891    Finally, print the various outputs the user requested, which is now
   1892 fairly straightforward.  The call graph (`cg_print.c:cg_print') and
   1893 flat profile (`hist.c:hist_print') are regurgitations of values already
   1894 computed.  The annotated source listing
   1895 (`basic_blocks.c:print_annotated_source') uses basic-block information,
   1896 if present, to label each line of code with call counts, otherwise only
   1897 the function call counts are presented.
   1898 
   1899    The function ordering code is marginally well documented in the
   1900 source code itself (`cg_print.c').  Basically, the functions with the
   1901 most use and the most parents are placed first, followed by other
   1902 functions with the most use, followed by lower use functions, followed
   1903 by unused functions at the end.
   1904 
   1905 
   1906 File: gprof.info,  Node: Debugging,  Prev: Internals,  Up: Details
   1907 
   1908 9.4 Debugging `gprof'
   1909 =====================
   1910 
   1911 If `gprof' was compiled with debugging enabled, the `-d' option
   1912 triggers debugging output (to stdout) which can be helpful in
   1913 understanding its operation.  The debugging number specified is
   1914 interpreted as a sum of the following options:
   1915 
   1916 2 - Topological sort
   1917      Monitor depth-first numbering of symbols during call graph analysis
   1918 
   1919 4 - Cycles
   1920      Shows symbols as they are identified as cycle heads
   1921 
   1922 16 - Tallying
   1923      As the call graph arcs are read, show each arc and how the total
   1924      calls to each function are tallied
   1925 
   1926 32 - Call graph arc sorting
   1927      Details sorting individual parents/children within each call graph
   1928      entry
   1929 
   1930 64 - Reading histogram and call graph records
   1931      Shows address ranges of histograms as they are read, and each call
   1932      graph arc
   1933 
   1934 128 - Symbol table
   1935      Reading, classifying, and sorting the symbol table from the object
   1936      file.  For line-by-line profiling (`-l' option), also shows line
   1937      numbers being assigned to memory addresses.
   1938 
   1939 256 - Static call graph
   1940      Trace operation of `-c' option
   1941 
   1942 512 - Symbol table and arc table lookups
   1943      Detail operation of lookup routines
   1944 
   1945 1024 - Call graph propagation
   1946      Shows how function times are propagated along the call graph
   1947 
   1948 2048 - Basic-blocks
   1949      Shows basic-block records as they are read from profile data (only
   1950      meaningful with `-l' option)
   1951 
   1952 4096 - Symspecs
   1953      Shows symspec-to-symbol pattern matching operation
   1954 
   1955 8192 - Annotate source
   1956      Tracks operation of `-A' option
   1957 
   1958 
   1959 File: gprof.info,  Node: GNU Free Documentation License,  Prev: Details,  Up: Top
   1960 
   1961 Appendix A GNU Free Documentation License
   1962 *****************************************
   1963 
   1964                      Version 1.3, 3 November 2008
   1965 
   1966      Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc.
   1967      `http://fsf.org/'
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   1972   0. PREAMBLE
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   2133      begin distribution of Opaque copies in quantity, to ensure that
   2134      this Transparent copy will remain thus accessible at the stated
   2135      location until at least one year after the last time you
   2136      distribute an Opaque copy (directly or through your agents or
   2137      retailers) of that edition to the public.
   2138 
   2139      It is requested, but not required, that you contact the authors of
   2140      the Document well before redistributing any large number of
   2141      copies, to give them a chance to provide you with an updated
   2142      version of the Document.
   2143 
   2144   4. MODIFICATIONS
   2145 
   2146      You may copy and distribute a Modified Version of the Document
   2147      under the conditions of sections 2 and 3 above, provided that you
   2148      release the Modified Version under precisely this License, with
   2149      the Modified Version filling the role of the Document, thus
   2150      licensing distribution and modification of the Modified Version to
   2151      whoever possesses a copy of it.  In addition, you must do these
   2152      things in the Modified Version:
   2153 
   2154        A. Use in the Title Page (and on the covers, if any) a title
   2155           distinct from that of the Document, and from those of
   2156           previous versions (which should, if there were any, be listed
   2157           in the History section of the Document).  You may use the
   2158           same title as a previous version if the original publisher of
   2159           that version gives permission.
   2160 
   2161        B. List on the Title Page, as authors, one or more persons or
   2162           entities responsible for authorship of the modifications in
   2163           the Modified Version, together with at least five of the
   2164           principal authors of the Document (all of its principal
   2165           authors, if it has fewer than five), unless they release you
   2166           from this requirement.
   2167 
   2168        C. State on the Title page the name of the publisher of the
   2169           Modified Version, as the publisher.
   2170 
   2171        D. Preserve all the copyright notices of the Document.
   2172 
   2173        E. Add an appropriate copyright notice for your modifications
   2174           adjacent to the other copyright notices.
   2175 
   2176        F. Include, immediately after the copyright notices, a license
   2177           notice giving the public permission to use the Modified
   2178           Version under the terms of this License, in the form shown in
   2179           the Addendum below.
   2180 
   2181        G. Preserve in that license notice the full lists of Invariant
   2182           Sections and required Cover Texts given in the Document's
   2183           license notice.
   2184 
   2185        H. Include an unaltered copy of this License.
   2186 
   2187        I. Preserve the section Entitled "History", Preserve its Title,
   2188           and add to it an item stating at least the title, year, new
   2189           authors, and publisher of the Modified Version as given on
   2190           the Title Page.  If there is no section Entitled "History" in
   2191           the Document, create one stating the title, year, authors,
   2192           and publisher of the Document as given on its Title Page,
   2193           then add an item describing the Modified Version as stated in
   2194           the previous sentence.
   2195 
   2196        J. Preserve the network location, if any, given in the Document
   2197           for public access to a Transparent copy of the Document, and
   2198           likewise the network locations given in the Document for
   2199           previous versions it was based on.  These may be placed in
   2200           the "History" section.  You may omit a network location for a
   2201           work that was published at least four years before the
   2202           Document itself, or if the original publisher of the version
   2203           it refers to gives permission.
   2204 
   2205        K. For any section Entitled "Acknowledgements" or "Dedications",
   2206           Preserve the Title of the section, and preserve in the
   2207           section all the substance and tone of each of the contributor
   2208           acknowledgements and/or dedications given therein.
   2209 
   2210        L. Preserve all the Invariant Sections of the Document,
   2211           unaltered in their text and in their titles.  Section numbers
   2212           or the equivalent are not considered part of the section
   2213           titles.
   2214 
   2215        M. Delete any section Entitled "Endorsements".  Such a section
   2216           may not be included in the Modified Version.
   2217 
   2218        N. Do not retitle any existing section to be Entitled
   2219           "Endorsements" or to conflict in title with any Invariant
   2220           Section.
   2221 
   2222        O. Preserve any Warranty Disclaimers.
   2223 
   2224      If the Modified Version includes new front-matter sections or
   2225      appendices that qualify as Secondary Sections and contain no
   2226      material copied from the Document, you may at your option
   2227      designate some or all of these sections as invariant.  To do this,
   2228      add their titles to the list of Invariant Sections in the Modified
   2229      Version's license notice.  These titles must be distinct from any
   2230      other section titles.
   2231 
   2232      You may add a section Entitled "Endorsements", provided it contains
   2233      nothing but endorsements of your Modified Version by various
   2234      parties--for example, statements of peer review or that the text
   2235      has been approved by an organization as the authoritative
   2236      definition of a standard.
   2237 
   2238      You may add a passage of up to five words as a Front-Cover Text,
   2239      and a passage of up to 25 words as a Back-Cover Text, to the end
   2240      of the list of Cover Texts in the Modified Version.  Only one
   2241      passage of Front-Cover Text and one of Back-Cover Text may be
   2242      added by (or through arrangements made by) any one entity.  If the
   2243      Document already includes a cover text for the same cover,
   2244      previously added by you or by arrangement made by the same entity
   2245      you are acting on behalf of, you may not add another; but you may
   2246      replace the old one, on explicit permission from the previous
   2247      publisher that added the old one.
   2248 
   2249      The author(s) and publisher(s) of the Document do not by this
   2250      License give permission to use their names for publicity for or to
   2251      assert or imply endorsement of any Modified Version.
   2252 
   2253   5. COMBINING DOCUMENTS
   2254 
   2255      You may combine the Document with other documents released under
   2256      this License, under the terms defined in section 4 above for
   2257      modified versions, provided that you include in the combination
   2258      all of the Invariant Sections of all of the original documents,
   2259      unmodified, and list them all as Invariant Sections of your
   2260      combined work in its license notice, and that you preserve all
   2261      their Warranty Disclaimers.
   2262 
   2263      The combined work need only contain one copy of this License, and
   2264      multiple identical Invariant Sections may be replaced with a single
   2265      copy.  If there are multiple Invariant Sections with the same name
   2266      but different contents, make the title of each such section unique
   2267      by adding at the end of it, in parentheses, the name of the
   2268      original author or publisher of that section if known, or else a
   2269      unique number.  Make the same adjustment to the section titles in
   2270      the list of Invariant Sections in the license notice of the
   2271      combined work.
   2272 
   2273      In the combination, you must combine any sections Entitled
   2274      "History" in the various original documents, forming one section
   2275      Entitled "History"; likewise combine any sections Entitled
   2276      "Acknowledgements", and any sections Entitled "Dedications".  You
   2277      must delete all sections Entitled "Endorsements."
   2278 
   2279   6. COLLECTIONS OF DOCUMENTS
   2280 
   2281      You may make a collection consisting of the Document and other
   2282      documents released under this License, and replace the individual
   2283      copies of this License in the various documents with a single copy
   2284      that is included in the collection, provided that you follow the
   2285      rules of this License for verbatim copying of each of the
   2286      documents in all other respects.
   2287 
   2288      You may extract a single document from such a collection, and
   2289      distribute it individually under this License, provided you insert
   2290      a copy of this License into the extracted document, and follow
   2291      this License in all other respects regarding verbatim copying of
   2292      that document.
   2293 
   2294   7. AGGREGATION WITH INDEPENDENT WORKS
   2295 
   2296      A compilation of the Document or its derivatives with other
   2297      separate and independent documents or works, in or on a volume of
   2298      a storage or distribution medium, is called an "aggregate" if the
   2299      copyright resulting from the compilation is not used to limit the
   2300      legal rights of the compilation's users beyond what the individual
   2301      works permit.  When the Document is included in an aggregate, this
   2302      License does not apply to the other works in the aggregate which
   2303      are not themselves derivative works of the Document.
   2304 
   2305      If the Cover Text requirement of section 3 is applicable to these
   2306      copies of the Document, then if the Document is less than one half
   2307      of the entire aggregate, the Document's Cover Texts may be placed
   2308      on covers that bracket the Document within the aggregate, or the
   2309      electronic equivalent of covers if the Document is in electronic
   2310      form.  Otherwise they must appear on printed covers that bracket
   2311      the whole aggregate.
   2312 
   2313   8. TRANSLATION
   2314 
   2315      Translation is considered a kind of modification, so you may
   2316      distribute translations of the Document under the terms of section
   2317      4.  Replacing Invariant Sections with translations requires special
   2318      permission from their copyright holders, but you may include
   2319      translations of some or all Invariant Sections in addition to the
   2320      original versions of these Invariant Sections.  You may include a
   2321      translation of this License, and all the license notices in the
   2322      Document, and any Warranty Disclaimers, provided that you also
   2323      include the original English version of this License and the
   2324      original versions of those notices and disclaimers.  In case of a
   2325      disagreement between the translation and the original version of
   2326      this License or a notice or disclaimer, the original version will
   2327      prevail.
   2328 
   2329      If a section in the Document is Entitled "Acknowledgements",
   2330      "Dedications", or "History", the requirement (section 4) to
   2331      Preserve its Title (section 1) will typically require changing the
   2332      actual title.
   2333 
   2334   9. TERMINATION
   2335 
   2336      You may not copy, modify, sublicense, or distribute the Document
   2337      except as expressly provided under this License.  Any attempt
   2338      otherwise to copy, modify, sublicense, or distribute it is void,
   2339      and will automatically terminate your rights under this License.
   2340 
   2341      However, if you cease all violation of this License, then your
   2342      license from a particular copyright holder is reinstated (a)
   2343      provisionally, unless and until the copyright holder explicitly
   2344      and finally terminates your license, and (b) permanently, if the
   2345      copyright holder fails to notify you of the violation by some
   2346      reasonable means prior to 60 days after the cessation.
   2347 
   2348      Moreover, your license from a particular copyright holder is
   2349      reinstated permanently if the copyright holder notifies you of the
   2350      violation by some reasonable means, this is the first time you have
   2351      received notice of violation of this License (for any work) from
   2352      that copyright holder, and you cure the violation prior to 30 days
   2353      after your receipt of the notice.
   2354 
   2355      Termination of your rights under this section does not terminate
   2356      the licenses of parties who have received copies or rights from
   2357      you under this License.  If your rights have been terminated and
   2358      not permanently reinstated, receipt of a copy of some or all of
   2359      the same material does not give you any rights to use it.
   2360 
   2361  10. FUTURE REVISIONS OF THIS LICENSE
   2362 
   2363      The Free Software Foundation may publish new, revised versions of
   2364      the GNU Free Documentation License from time to time.  Such new
   2365      versions will be similar in spirit to the present version, but may
   2366      differ in detail to address new problems or concerns.  See
   2367      `http://www.gnu.org/copyleft/'.
   2368 
   2369      Each version of the License is given a distinguishing version
   2370      number.  If the Document specifies that a particular numbered
   2371      version of this License "or any later version" applies to it, you
   2372      have the option of following the terms and conditions either of
   2373      that specified version or of any later version that has been
   2374      published (not as a draft) by the Free Software Foundation.  If
   2375      the Document does not specify a version number of this License,
   2376      you may choose any version ever published (not as a draft) by the
   2377      Free Software Foundation.  If the Document specifies that a proxy
   2378      can decide which future versions of this License can be used, that
   2379      proxy's public statement of acceptance of a version permanently
   2380      authorizes you to choose that version for the Document.
   2381 
   2382  11. RELICENSING
   2383 
   2384      "Massive Multiauthor Collaboration Site" (or "MMC Site") means any
   2385      World Wide Web server that publishes copyrightable works and also
   2386      provides prominent facilities for anybody to edit those works.  A
   2387      public wiki that anybody can edit is an example of such a server.
   2388      A "Massive Multiauthor Collaboration" (or "MMC") contained in the
   2389      site means any set of copyrightable works thus published on the MMC
   2390      site.
   2391 
   2392      "CC-BY-SA" means the Creative Commons Attribution-Share Alike 3.0
   2393      license published by Creative Commons Corporation, a not-for-profit
   2394      corporation with a principal place of business in San Francisco,
   2395      California, as well as future copyleft versions of that license
   2396      published by that same organization.
   2397 
   2398      "Incorporate" means to publish or republish a Document, in whole or
   2399      in part, as part of another Document.
   2400 
   2401      An MMC is "eligible for relicensing" if it is licensed under this
   2402      License, and if all works that were first published under this
   2403      License somewhere other than this MMC, and subsequently
   2404      incorporated in whole or in part into the MMC, (1) had no cover
   2405      texts or invariant sections, and (2) were thus incorporated prior
   2406      to November 1, 2008.
   2407 
   2408      The operator of an MMC Site may republish an MMC contained in the
   2409      site under CC-BY-SA on the same site at any time before August 1,
   2410      2009, provided the MMC is eligible for relicensing.
   2411 
   2412 
   2413 ADDENDUM: How to use this License for your documents
   2414 ====================================================
   2415 
   2416 To use this License in a document you have written, include a copy of
   2417 the License in the document and put the following copyright and license
   2418 notices just after the title page:
   2419 
   2420        Copyright (C)  YEAR  YOUR NAME.
   2421        Permission is granted to copy, distribute and/or modify this document
   2422        under the terms of the GNU Free Documentation License, Version 1.3
   2423        or any later version published by the Free Software Foundation;
   2424        with no Invariant Sections, no Front-Cover Texts, and no Back-Cover
   2425        Texts.  A copy of the license is included in the section entitled ``GNU
   2426        Free Documentation License''.
   2427 
   2428    If you have Invariant Sections, Front-Cover Texts and Back-Cover
   2429 Texts, replace the "with...Texts." line with this:
   2430 
   2431          with the Invariant Sections being LIST THEIR TITLES, with
   2432          the Front-Cover Texts being LIST, and with the Back-Cover Texts
   2433          being LIST.
   2434 
   2435    If you have Invariant Sections without Cover Texts, or some other
   2436 combination of the three, merge those two alternatives to suit the
   2437 situation.
   2438 
   2439    If your document contains nontrivial examples of program code, we
   2440 recommend releasing these examples in parallel under your choice of
   2441 free software license, such as the GNU General Public License, to
   2442 permit their use in free software.
   2443 
   2444 
   2445 
   2446 Tag Table:
   2447 Node: Top722
   2448 Node: Introduction2045
   2449 Node: Compiling4537
   2450 Node: Executing8593
   2451 Node: Invoking11381
   2452 Node: Output Options12796
   2453 Node: Analysis Options19885
   2454 Node: Miscellaneous Options23803
   2455 Node: Deprecated Options25058
   2456 Node: Symspecs27127
   2457 Node: Output28953
   2458 Node: Flat Profile29993
   2459 Node: Call Graph34946
   2460 Node: Primary38178
   2461 Node: Callers40766
   2462 Node: Subroutines42883
   2463 Node: Cycles44724
   2464 Node: Line-by-line51501
   2465 Node: Annotated Source55574
   2466 Node: Inaccuracy58573
   2467 Node: Sampling Error58831
   2468 Node: Assumptions61735
   2469 Node: How do I?63205
   2470 Node: Incompatibilities64759
   2471 Node: Details66253
   2472 Node: Implementation66646
   2473 Node: File Format72543
   2474 Node: Internals76833
   2475 Node: Debugging85328
   2476 Node: GNU Free Documentation License86929
   2477 
   2478 End Tag Table
   2479