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1.1       maekawa     1: \input texinfo   @c -*-texinfo-*-
                      2:
                      3: @c %**start of header
                      4: @setfilename gnuplot.info
                      5: @settitle Gnuplot: An Interactive Plotting Program
                      6: @setchapternewpage odd
                      7: @c %**end of header
                      8:
                      9: @c define the command and options indeces
                     10: @defindex cm
                     11: @defindex op
                     12: @defindex tm
                     13:
                     14: @direntry
                     15: * GNUPLOT: (gnuplot).             An Interactive Plotting Program
                     16: @end direntry
                     17:
                     18: @ifnottex
                     19: @node Top, gnuplot, (dir), (dir)
                     20: @top Master Menu
                     21: @end ifnottex
                     22:
                     23: @example
                     24:                        GNUPLOT
                     25:
                     26:             An Interactive Plotting Program
                     27:              Thomas Williams & Colin Kelley
                     28:           Version 3.7 organized by: David Denholm
                     29:
                     30:  Copyright (C) 1986 - 1993, 1998   Thomas Williams, Colin Kelley
                     31:
                     32:        Mailing list for comments: info-gnuplot@@dartmouth.edu
                     33:      Mailing list for bug reports: bug-gnuplot@@dartmouth.edu
                     34:
                     35:          This manual was prepared by Dick Crawford
                     36:                    3 December 1998
                     37:
                     38:
                     39: Major contributors (alphabetic order):
                     40: @end example
                     41:
                     42: @c ^ <h2> An Interactive Plotting Program </h2><p>
                     43: @c ^ <h2>  Thomas Williams & Colin Kelley</h2><p>
                     44: @c ^ <h2>   Version 3.7 organized by: David Denholm </h2><p>
                     45: @c ^ <h2>Major contributors (alphabetic order):</h2>
                     46:
                     47: @itemize @bullet
                     48: @item
                     49: Hans-Bernhard Broeker
                     50: @item
                     51: John Campbell
                     52: @item
                     53: Robert Cunningham
                     54: @item
                     55: David Denholm
                     56: @item
                     57: Gershon Elber
                     58: @item
                     59: Roger Fearick
                     60: @item
                     61: Carsten Grammes
                     62: @item
                     63: Lucas Hart
                     64: @item
                     65: Lars Hecking
                     66: @item
                     67: Thomas Koenig
                     68: @item
                     69: David Kotz
                     70: @item
                     71: Ed Kubaitis
                     72: @item
                     73: Russell Lang
                     74: @item
                     75: Alexander Lehmann
                     76: @item
                     77: Alexander Mai
                     78: @item
                     79: Carsten Steger
                     80: @item
                     81: Tom Tkacik
                     82: @item
                     83: Jos Van der Woude
                     84: @item
                     85: James R. Van Zandt
                     86: @item
                     87: Alex Woo
                     88: @end itemize
                     89:
                     90: @c ^<h2>  Copyright (C) 1986 - 1993, 1998   Thomas Williams, Colin Kelley<p>
                     91: @c ^   Mailing list for comments: info-gnuplot@@dartmouth.edu <p>
                     92: @c ^   Mailing list for bug reports: bug-gnuplot@@dartmouth.edu<p>
                     93: @c ^</h2><p>
                     94: @c ^<h3> This manual was prepared by Dick Crawford</h3><p>
                     95: @c ^<h3> 3 December 1998</h3><p>
                     96: @c ^<hr>
                     97:
                     98: @menu
                     99: * gnuplot::
                    100: * Commands::
                    101: * Graphical_User_Interfaces::
                    102: * Bugs::
                    103: * Concept_Index::
                    104: * Command_Index::
                    105: * Options_Index::
                    106: * Function_Index::
                    107: * Terminal_Index::
                    108: @end menu
                    109:
                    110: @node gnuplot, Commands, Top, Top
                    111: @chapter gnuplot
                    112:
                    113:
                    114: @menu
                    115: * Copyright::
                    116: * Introduction::
                    117: * Seeking-assistance::
                    118: * What's_New_in_version_3.7::
                    119: * Batch/Interactive_Operation::
                    120: * Command-line-editing::
                    121: * Comments::
                    122: * Coordinates::
                    123: * Environment::
                    124: * Expressions::
                    125: * Glossary::
                    126: * Plotting::
                    127: * Start-up::
                    128: * Substitution::
                    129: * Syntax::
                    130: * Time/Date_data::
                    131: @end menu
                    132:
                    133: @node Copyright, Introduction, gnuplot, gnuplot
                    134: @section Copyright
                    135:
                    136: @cindex copyright
                    137:
                    138: @cindex license
                    139:
                    140: @example
                    141:       Copyright (C) 1986 - 1993, 1998   Thomas Williams, Colin Kelley
                    142:
                    143: @end example
                    144:
                    145: Permission to use, copy, and distribute this software and its
                    146: documentation for any purpose with or without fee is hereby granted,
                    147: provided that the above copyright notice appear in all copies and
                    148: that both that copyright notice and this permission notice appear
                    149: in supporting documentation.
                    150:
                    151: Permission to modify the software is granted, but not the right to
                    152: distribute the complete modified source code.  Modifications are to
                    153: be distributed as patches to the released version.  Permission to
                    154: distribute binaries produced by compiling modified sources is granted,
                    155: provided you
                    156: @example
                    157:   1. distribute the corresponding source modifications from the
                    158:    released version in the form of a patch file along with the binaries,
                    159:   2. add special version identification to distinguish your version
                    160:    in addition to the base release version number,
                    161:   3. provide your name and address as the primary contact for the
                    162:    support of your modified version, and
                    163:   4. retain our contact information in regard to use of the base
                    164:    software.
                    165: @end example
                    166:
                    167: Permission to distribute the released version of the source code along
                    168: with corresponding source modifications in the form of a patch file is
                    169: granted with same provisions 2 through 4 for binary distributions.
                    170:
                    171: This software is provided "as is" without express or implied warranty
                    172: to the extent permitted by applicable law.
                    173:
                    174:
                    175: @example
                    176:       AUTHORS
                    177:
                    178: @end example
                    179:
                    180: @example
                    181:       Original Software:
                    182:          Thomas Williams,  Colin Kelley.
                    183:
                    184: @end example
                    185:
                    186: @example
                    187:       Gnuplot 2.0 additions:
                    188:          Russell Lang, Dave Kotz, John Campbell.
                    189:
                    190: @end example
                    191:
                    192: @example
                    193:       Gnuplot 3.0 additions:
                    194:          Gershon Elber and many others.
                    195:
                    196: @end example
                    197:
                    198: @node Introduction, Seeking-assistance, Copyright, gnuplot
                    199: @section Introduction
                    200:
                    201: @cindex introduction
                    202:
                    203: @c ?
                    204: `gnuplot` is a command-driven interactive function and data plotting program.
                    205: It is case sensitive (commands and function names written in lowercase are
                    206: not the same as those written in CAPS).  All command names may be abbreviated
                    207: as long as the abbreviation is not ambiguous.  Any number of commands may
                    208: appear on a line (with the exception that @ref{load} or @ref{call} must be the final
                    209: command), separated by semicolons (;).  Strings are indicated with quotes.
                    210: They may be either single or double quotation marks, e.g.,
                    211:
                    212: @example
                    213:       load "filename"
                    214:       cd 'dir'
                    215:
                    216: @end example
                    217:
                    218: although there are some subtle differences (see `syntax` for more details).
                    219:
                    220: Any command-line arguments are assumed to be names of files containing
                    221: `gnuplot` commands, with the exception of standard X11 arguments, which are
                    222: processed first.  Each file is loaded with the @ref{load} command, in the order
                    223: specified.  `gnuplot` exits after the last file is processed.  When no load
                    224: files are named, `gnuplot` enters into an interactive mode.  The special
                    225: filename "-" is used to denote standard input.  See "help batch/interactive"
                    226: for more details.
                    227:
                    228: Many `gnuplot` commands have multiple options.  These options must appear in
                    229: the proper order, although unwanted ones may be omitted in most cases.  Thus
                    230: if the entire command is "command a b c", then "command a c" will probably
                    231: work, but "command c a" will fail.
                    232:
                    233: Commands may extend over several input lines by ending each line but the last
                    234: with a backslash (\).  The backslash must be the _last_ character on each
                    235: line.  The effect is as if the backslash and newline were not there.  That
                    236: is, no white space is implied, nor is a comment terminated.  Therefore,
                    237: commenting out a continued line comments out the entire command (see
                    238: `comment`).  But note that if an error occurs somewhere on a multi-line
                    239: command, the parser may not be able to locate precisely where the error is
                    240: and in that case will not necessarily point to the correct line.
                    241:
                    242: In this document, curly braces (@{@}) denote optional arguments and a vertical
                    243: bar (|) separates mutually exclusive choices.  `gnuplot` keywords or @ref{help}
                    244: topics are indicated by backquotes or `boldface` (where available).  Angle
                    245: brackets (<>) are used to mark replaceable tokens.  In many cases, a default
                    246: value of the token will be taken for optional arguments if the token is
                    247: omitted, but these cases are not always denoted with braces around the angle
                    248: brackets.
                    249:
                    250: For on-line help on any topic, type @ref{help} followed by the name of the topic
                    251: or just @ref{help} or `?` to get a menu of available topics.
                    252:
                    253: The new `gnuplot` user should begin by reading about `plotting` (if on-line,
                    254: type `help plotting`).
                    255: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/simple.html,Simple Plots Demo }
                    256:
                    257: @node Seeking-assistance, What's_New_in_version_3.7, Introduction, gnuplot
                    258: @section Seeking-assistance
                    259:
                    260: @cindex seeking-assistance
                    261:
                    262: There is a mailing list for `gnuplot` users.  Note, however, that the
                    263: newsgroup
                    264: @example
                    265:       comp.graphics.apps.gnuplot
                    266: @end example
                    267:
                    268: is identical to the mailing list (they both carry the same set of messages).
                    269: We prefer that you read the messages through the newsgroup rather than
                    270: subscribing to the mailing list.  Administrative requests should be sent to
                    271: @example
                    272:       majordomo@@dartmouth.edu
                    273: @end example
                    274:
                    275: Send a message with the body (not the subject) consisting of the single word
                    276: "help" (without the quotes) for more details.
                    277:
                    278: The address for mailing to list members is:
                    279: @example
                    280:       info-gnuplot@@dartmouth.edu
                    281:
                    282: @end example
                    283:
                    284: Bug reports and code contributions should be mailed to:
                    285: @example
                    286:       bug-gnuplot@@dartmouth.edu
                    287:
                    288: @end example
                    289:
                    290: The list of those interested in beta-test versions is:
                    291: @example
                    292:       info-gnuplot-beta@@dartmouth.edu
                    293:
                    294: @end example
                    295:
                    296: There is also a World Wide Web page with up-to-date information, including
                    297: known bugs:
                    298: @uref{http://www.cs.dartmouth.edu/gnuplot_info.html,http://www.cs.dartmouth.edu/gnuplot_info.html
                    299: }
                    300:
                    301: Before seeking help, please check the
                    302: @uref{http://www.ucc.ie/gnuplot/gnuplot-faq.html,FAQ (Frequently Asked Questions) list.
                    303: }
                    304: If you do not have a copy of the FAQ, you may request a copy by email from
                    305: the Majordomo address above, ftp a copy from
                    306: @example
                    307:       ftp://ftp.ucc.ie/pub/gnuplot/faq,
                    308:       ftp://ftp.gnuplot.vt.edu/pub/gnuplot/faq,
                    309: @end example
                    310:
                    311: or see the WWW `gnuplot` page.
                    312:
                    313: When posting a question, please include full details of the version of
                    314: `gnuplot`, the machine, and operating system you are using.  A _small_ script
                    315: demonstrating the problem may be useful.  Function plots are preferable to
                    316: datafile plots.  If email-ing to info-gnuplot, please state whether or not
                    317: you are subscribed to the list, so that users who use news will know to email
                    318: a reply to you.  There is a form for such postings on the WWW site.
                    319:
                    320: @node What's_New_in_version_3.7, Batch/Interactive_Operation, Seeking-assistance, gnuplot
                    321: @section What's New in version 3.7
                    322:
                    323: @cindex new-features
                    324:
                    325: Gnuplot version 3.7 contains many new features.  This section gives a partial
                    326: list and links to the new items in no particular order.
                    327:
                    328: 1. `fit f(x) 'file' via` uses the Marquardt-Levenberg method to fit data.
                    329: (This is only slightly different from the `gnufit` patch available for 3.5.)
                    330:
                    331: 2. Greatly expanded @ref{using} command.  See @ref{using}.
                    332:
                    333: 3. @ref{timefmt} allows for the use of dates as input and output for time
                    334: series plots.  See `Time/Date data` and
                    335: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/timedat.html,timedat.dem.
                    336: }
                    337:
                    338: 4. Multiline labels and font selection in some drivers.
                    339:
                    340: 5. Minor (unlabeled) tics.  See @ref{mxtics}.
                    341:
                    342: 6. @ref{key} options for moving the key box in the page (and even outside of the
                    343: plot), putting a title on it and a box around it, and more.  See @ref{key}.
                    344:
                    345: 7. Multiplots on a single logical page with @ref{multiplot}.
                    346:
                    347: 8. Enhanced `postscript` driver with super/subscripts and font changes.
                    348: (This was a separate driver (`enhpost`) that was available as a patch for
                    349: 3.5.)
                    350:
                    351: 9. Second axes:  use the top and right axes independently of the bottom and
                    352: left, both for plotting and labels.  See @ref{plot}.
                    353:
                    354: 10. Special datafile names `'-'` and `""`.  See @ref{special-filenames}.
                    355:
                    356: 11. Additional coordinate systems for labels and arrows.  See `coordinates`.
                    357:
                    358: 12. @ref{size} can try to plot with a specified aspect ratio.
                    359:
                    360: 13. @ref{missing} now treats missing data correctly.
                    361:
                    362: 14. The @ref{call} command: @ref{load} with arguments.
                    363:
                    364: 15. More flexible `range` commands with `reverse` and `writeback` keywords.
                    365:
                    366: 16. @ref{encoding} for multi-lingual encoding.
                    367:
                    368: 17. New `x11` driver with persistent and multiple windows.
                    369:
                    370: 18. New plotting styles: @ref{xerrorbars}, @ref{histeps}, @ref{financebars} and more.
                    371: See @ref{style}.
                    372:
                    373: 19. New tic label formats, including `"%l %L"` which uses the mantissa and
                    374: exponents to a given base for labels.  See `set format`.
                    375:
                    376: 20. New drivers, including `cgm` for inclusion into MS-Office applications
                    377: and `gif` for serving plots to the WEB.
                    378:
                    379: 21. Smoothing and spline-fitting options for @ref{plot}.  See @ref{smooth}.
                    380:
                    381: 22. @ref{margin} and @ref{origin} give much better control over where a
                    382: graph appears on the page.
                    383:
                    384: 23. @ref{border} now controls each border individually.
                    385:
                    386: 24. The new commands @ref{if} and @ref{reread} allow command loops.
                    387:
                    388: 25. Point styles and sizes, line types and widths can be specified on the
                    389: @ref{plot} command.  Line types and widths can also be specified for grids,
                    390: borders, tics and arrows.  See @ref{with}.  Furthermore these types may be
                    391: combined and stored for further use.  See @ref{linestyle}.
                    392:
                    393: 26. Text (labels, tic labels, and the time stamp) can be written vertically
                    394: by those terminals capable of doing so.
                    395:
                    396: @node Batch/Interactive_Operation, Command-line-editing, What's_New_in_version_3.7, gnuplot
                    397: @section Batch/Interactive Operation
                    398:
                    399: @cindex batch/interactive
                    400:
                    401: `gnuplot` may be executed in either batch or interactive modes, and the two
                    402: may even be mixed together on many systems.
                    403:
                    404: Any command-line arguments are assumed to be names of files containing
                    405: `gnuplot` commands (with the exception of standard X11 arguments, which are
                    406: processed first).  Each file is loaded with the @ref{load} command, in the order
                    407: specified.  `gnuplot` exits after the last file is processed.  When no load
                    408: files are named, `gnuplot` enters into an interactive mode.  The special
                    409: filename "-" is used to denote standard input.
                    410:
                    411: Both the @ref{exit} and @ref{quit} commands terminate the current command file and
                    412: @ref{load} the next one, until all have been processed.
                    413:
                    414: Examples:
                    415:
                    416: To launch an interactive session:
                    417: @example
                    418:       gnuplot
                    419:
                    420: @end example
                    421:
                    422: To launch a batch session using two command files "input1" and "input2":
                    423: @example
                    424:       gnuplot input1 input2
                    425:
                    426: @end example
                    427:
                    428: To launch an interactive session after an initialization file "header" and
                    429: followed by another command file "trailer":
                    430: @example
                    431:       gnuplot header - trailer
                    432:
                    433: @end example
                    434:
                    435: @node Command-line-editing, Comments, Batch/Interactive_Operation, gnuplot
                    436: @section Command-line-editing
                    437:
                    438: @cindex line-editing
                    439:
                    440: @cindex editing
                    441:
                    442: @cindex history
                    443:
                    444: @cindex command-line-editing
                    445:
                    446: Command-line editing is supported by the Unix, Atari, VMS, MS-DOS and OS/2
                    447: versions of `gnuplot`.  Also, a history mechanism allows previous commands to
                    448: be edited and re-executed.  After the command line has been edited, a newline
                    449: or carriage return will enter the entire line without regard to where the
                    450: cursor is positioned.
                    451:
                    452: (The readline function in `gnuplot` is not the same as the readline used in
                    453: GNU Bash and GNU Emacs.  If the GNU version is desired, it may be selected
                    454: instead of the `gnuplot` version at compile time.)
                    455:
                    456:
                    457: The editing commands are as follows:
                    458:
                    459:
                    460: @example
                    461:       `Line-editing`:
                    462:
                    463: @end example
                    464:
                    465: @example
                    466:       ^B    moves back a single character.
                    467:       ^F    moves forward a single character.
                    468:       ^A    moves to the beginning of the line.
                    469:       ^E    moves to the end of the line.
                    470:       ^H    and DEL delete the previous character.
                    471:       ^D    deletes the current character.
                    472:       ^K    deletes from current position to the end of line.
                    473:       ^L,^R redraws line in case it gets trashed.
                    474:       ^U    deletes the entire line.
                    475:       ^W    deletes the last word.
                    476:
                    477: @end example
                    478:
                    479: @example
                    480:       `History`:
                    481:
                    482: @end example
                    483:
                    484: @example
                    485:       ^P    moves back through history.
                    486:       ^N    moves forward through history.
                    487:
                    488: @end example
                    489:
                    490:
                    491: On the IBM PC, the use of a TSR program such as DOSEDIT or CED may be desired
                    492: for line editing.  The default makefile assumes that this is the case;  by
                    493: default `gnuplot` will be compiled with no line-editing capability.  If you
                    494: want to use `gnuplot`'s line editing, set READLINE in the makefile and add
                    495: readline.obj to the link file.  The following arrow keys may be used on the
                    496: IBM PC and Atari versions if readline is used:
                    497:
                    498:
                    499: @example
                    500:       Left  Arrow      - same as ^B.
                    501:       Right Arrow      - same as ^F.
                    502:       Ctrl Left  Arrow - same as ^A.
                    503:       Ctrl Right Arrow - same as ^E.
                    504:       Up    Arrow      - same as ^P.
                    505:       Down  Arrow      - same as ^N.
                    506:
                    507: @end example
                    508:
                    509:
                    510: The Atari version of readline defines some additional key aliases:
                    511:
                    512:
                    513: @example
                    514:       Undo            - same as ^L.
                    515:       Home            - same as ^A.
                    516:       Ctrl Home       - same as ^E.
                    517:       Esc             - same as ^U.
                    518:       Help            - @ref{help} plus return.
                    519:       Ctrl Help       - `help `.
                    520:
                    521: @end example
                    522:
                    523:
                    524: @node Comments, Coordinates, Command-line-editing, gnuplot
                    525: @section Comments
                    526:
                    527: @cindex comments
                    528:
                    529: Comments are supported as follows: a `#` may appear in most places in a line
                    530: and `gnuplot` will ignore the rest of the line.  It will not have this effect
                    531: inside quotes, inside numbers (including complex numbers), inside command
                    532: substitutions, etc.  In short, it works anywhere it makes sense to work.
                    533:
                    534: @node Coordinates, Environment, Comments, gnuplot
                    535: @section Coordinates
                    536:
                    537: @cindex coordinates
                    538:
                    539: The commands @ref{arrow}, @ref{key}, and @ref{label} allow you to draw
                    540: something at an arbitrary position on the graph.  This position is specified
                    541: by the syntax:
                    542:
                    543: @example
                    544:       @{<system>@} <x>, @{<system>@} <y> @{,@{<system>@} <z>@}
                    545:
                    546: @end example
                    547:
                    548: Each <system> can either be `first`, `second`, `graph` or `screen`.
                    549:
                    550: `first` places the x, y, or z coordinate in the system defined by the left
                    551: and bottom axes; `second` places it in the system defined by the second axes
                    552: (top and right); `graph` specifies the area within the axes---0,0 is bottom
                    553: left and 1,1 is top right (for splot, 0,0,0 is bottom left of plotting area;
                    554: use negative z to get to the base---see @ref{ticslevel}); and `screen`
                    555: specifies the screen area (the entire area---not just the portion selected by
                    556: @ref{size}), with 0,0 at bottom left and 1,1 at top right.
                    557:
                    558: If the coordinate system for x is not specified, `first` is used.  If the
                    559: system for y is not specified, the one used for x is adopted.
                    560:
                    561: If one (or more) axis is timeseries, the appropriate coordinate should
                    562: be given as a quoted time string according to the @ref{timefmt} format string.
                    563: See @ref{xdata} and @ref{timefmt}.  `gnuplot` will also accept an integer
                    564: expression, which will be interpreted as seconds from 1 January 2000.
                    565:
                    566: @node Environment, Expressions, Coordinates, gnuplot
                    567: @section Environment
                    568:
                    569: @cindex environment
                    570:
                    571: A number of shell environment variables are understood by `gnuplot`.  None of
                    572: these are required, but may be useful.
                    573:
                    574: If GNUTERM is defined, it is used as the name of the terminal type to be
                    575: used.  This overrides any terminal type sensed by `gnuplot` on start-up, but
                    576: is itself overridden by the .gnuplot (or equivalent) start-up file (see
                    577: `start-up`) and, of course, by later explicit changes.
                    578:
                    579: On Unix, AmigaOS, AtariTOS, MS-DOS and OS/2, GNUHELP may be defined to be the
                    580: pathname of the HELP file (gnuplot.gih).
                    581:
                    582: On VMS, the logical name GNUPLOT$HELP should be defined as the name of the
                    583: help library for `gnuplot`.  The `gnuplot` help can be put inside any system
                    584: help library, allowing access to help from both within and outside `gnuplot`
                    585: if desired.
                    586:
                    587: On Unix, HOME is used as the name of a directory to search for a .gnuplot
                    588: file if none is found in the current directory.  On AmigaOS, AtariTOS,
                    589: MS-DOS and OS/2, gnuplot is used.  On VMS, SYS$LOGIN: is used. See `help
                    590: start-up`.
                    591:
                    592: On Unix, PAGER is used as an output filter for help messages.
                    593:
                    594: On Unix, AtariTOS and AmigaOS, SHELL is used for the @ref{shell} command.  On
                    595: MS-DOS and OS/2, COMSPEC is used for the @ref{shell} command.
                    596:
                    597: On MS-DOS, if the BGI or Watcom interface is used, PCTRM is used to tell
                    598: the maximum resolution supported by your monitor by setting it to
                    599: S<max. horizontal resolution>. E.g. if your monitor's maximum resolution is
                    600: 800x600, then use:
                    601: @example
                    602:       set PCTRM=S800
                    603: @end example
                    604:
                    605: If PCTRM is not set, standard VGA is used.
                    606:
                    607: FIT_SCRIPT may be used to specify a `gnuplot` command to be executed when a
                    608: fit is interrupted---see `fit`.  FIT_LOG specifies the filename of the
                    609: logfile maintained by fit.
                    610:
                    611: @node Expressions, Glossary, Environment, gnuplot
                    612: @section Expressions
                    613:
                    614: @cindex expressions
                    615:
                    616: In general, any mathematical expression accepted by C, FORTRAN, Pascal, or
                    617: BASIC is valid.  The precedence of these operators is determined by the
                    618: specifications of the C programming language.  White space (spaces and tabs)
                    619: is ignored inside expressions.
                    620:
                    621: Complex constants are expressed as @{<real>,<imag>@}, where <real> and <imag>
                    622: must be numerical constants.  For example, @{3,2@} represents 3 + 2i; @{0,1@}
                    623: represents 'i' itself.  The curly braces are explicitly required here.
                    624:
                    625: Note that gnuplot uses both "real" and "integer" arithmetic, like FORTRAN and
                    626: C.  Integers are entered as "1", "-10", etc; reals as "1.0", "-10.0", "1e1",
                    627: 3.5e-1, etc.  The most important difference between the two forms is in
                    628: division: division of integers truncates: 5/2 = 2; division of reals does
                    629: not: 5.0/2.0 = 2.5.  In mixed expressions, integers are "promoted" to reals
                    630: before evaluation: 5/2e0 = 2.5.  The result of division of a negative integer
                    631: by a positive one may vary among compilers.  Try a test like "print -5/2" to
                    632: determine if your system chooses -2 or -3 as the answer.
                    633:
                    634: The integer expression "1/0" may be used to generate an "undefined" flag,
                    635: which causes a point to ignored; the `ternary` operator gives an example.
                    636:
                    637: The real and imaginary parts of complex expressions are always real, whatever
                    638: the form in which they are entered: in @{3,2@} the "3" and "2" are reals, not
                    639: integers.
                    640:
                    641: @menu
                    642: * Functions::
                    643: * Operators::
                    644: * User-defined::
                    645: @end menu
                    646:
                    647: @node Functions, Operators, Expressions, Expressions
                    648: @subsection Functions
                    649:
                    650: @c ?expressions functions
                    651: @cindex functions
                    652: @opindex functions
                    653:
                    654:
                    655: The functions in `gnuplot` are the same as the corresponding functions in
                    656: the Unix math library, except that all functions accept integer, real, and
                    657: complex arguments, unless otherwise noted.
                    658:
                    659: For those functions that accept or return angles that may be given in either
                    660: degrees or radians (sin(x), cos(x), tan(x), asin(x), acos(x), atan(x),
                    661: atan2(x) and arg(z)), the unit may be selected by @ref{angles}, which
                    662: defaults to radians.
                    663:
                    664:
                    665:
                    666: @menu
                    667: * abs::
                    668: * acos::
                    669: * acosh::
                    670: * arg::
                    671: * asin::
                    672: * asinh::
                    673: * atan::
                    674: * atan2::
                    675: * atanh::
                    676: * besj0::
                    677: * besj1::
                    678: * besy0::
                    679: * besy1::
                    680: * ceil::
                    681: * cos::
                    682: * cosh::
                    683: * erf::
                    684: * erfc::
                    685: * exp::
                    686: * floor::
                    687: * gamma::
                    688: * ibeta::
                    689: * inverf::
                    690: * igamma::
                    691: * imag::
                    692: * invnorm::
                    693: * int::
                    694: * lgamma::
                    695: * log::
                    696: * log10::
                    697: * norm::
                    698: * rand::
                    699: * real::
                    700: * sgn::
                    701: * sin::
                    702: * sinh::
                    703: * sqrt::
                    704: * tan::
                    705: * tanh::
                    706: * column::
                    707: * tm_hour::
                    708: * tm_mday::
                    709: * tm_min::
                    710: * tm_mon::
                    711: * tm_sec::
                    712: * tm_wday::
                    713: * tm_yday::
                    714: * tm_year::
                    715: * valid::
                    716: @end menu
                    717:
                    718: @node abs, acos, Functions, Functions
                    719: @subsubsection abs
                    720:
                    721: @c ?expressions functions abs
                    722: @c ?functions abs
                    723: @cindex abs
                    724: @findex abs
                    725:
                    726:
                    727: The `abs(x)` function returns the absolute value of its argument.  The
                    728: returned value is of the same type as the argument.
                    729:
                    730: For complex arguments, abs(x) is defined as the length of x in the complex
                    731: plane [i.e.,  sqrt(real(x)**2 + imag(x)**2) ].
                    732:
                    733: @node acos, acosh, abs, Functions
                    734: @subsubsection acos
                    735:
                    736: @c ?expressions functions acos
                    737: @c ?functions acos
                    738: @cindex acos
                    739: @findex acos
                    740:
                    741:
                    742: The `acos(x)` function returns the arc cosine (inverse cosine) of its
                    743: argument.  `acos` returns its argument in radians or degrees, as selected by
                    744: @ref{angles}.
                    745:
                    746: @node acosh, arg, acos, Functions
                    747: @subsubsection acosh
                    748:
                    749: @c ?expressions functions acosh
                    750: @c ?functions acosh
                    751: @cindex acosh
                    752: @findex acosh
                    753:
                    754:
                    755: The `acosh(x)` function returns the inverse hyperbolic cosine of its argument
                    756: in radians.
                    757:
                    758: @node arg, asin, acosh, Functions
                    759: @subsubsection arg
                    760:
                    761: @c ?expressions functions arg
                    762: @c ?functions arg
                    763: @cindex arg
                    764: @findex arg
                    765:
                    766:
                    767: The `arg(x)` function returns the phase of a complex number in radians or
                    768: degrees, as selected by @ref{angles}.
                    769:
                    770: @node asin, asinh, arg, Functions
                    771: @subsubsection asin
                    772:
                    773: @c ?expressions functions asin
                    774: @c ?functions asin
                    775: @cindex asin
                    776: @findex asin
                    777:
                    778:
                    779: The `asin(x)` function returns the arc sin (inverse sin) of its argument.
                    780: `asin` returns its argument in radians or degrees, as selected by @ref{angles}.
                    781:
                    782: @node asinh, atan, asin, Functions
                    783: @subsubsection asinh
                    784:
                    785: @c ?expressions functions asinh
                    786: @c ?functions asinh
                    787: @cindex asinh
                    788: @findex asinh
                    789:
                    790:
                    791: The `asinh(x)` function returns the inverse hyperbolic sin of its argument in
                    792: radians.
                    793:
                    794: @node atan, atan2, asinh, Functions
                    795: @subsubsection atan
                    796:
                    797: @c ?expressions functions atan
                    798: @c ?functions atan
                    799: @cindex atan
                    800: @findex atan
                    801:
                    802:
                    803: The `atan(x)` function returns the arc tangent (inverse tangent) of its
                    804: argument.  `atan` returns its argument in radians or degrees, as selected by
                    805: @ref{angles}.
                    806:
                    807: @node atan2, atanh, atan, Functions
                    808: @subsubsection atan2
                    809:
                    810: @c ?expressions functions atan2
                    811: @c ?functions atan2
                    812: @cindex atan2
                    813: @findex atan2
                    814:
                    815:
                    816: The `atan2(y,x)` function returns the arc tangent (inverse tangent) of the
                    817: ratio of the real parts of its arguments.  @ref{atan2} returns its argument in
                    818: radians or degrees, as selected by @ref{angles}, in the correct quadrant.
                    819:
                    820: @node atanh, besj0, atan2, Functions
                    821: @subsubsection atanh
                    822:
                    823: @c ?expressions functions atanh
                    824: @c ?functions atanh
                    825: @cindex atanh
                    826: @findex atanh
                    827:
                    828:
                    829: The `atanh(x)` function returns the inverse hyperbolic tangent of its
                    830: argument in radians.
                    831:
                    832: @node besj0, besj1, atanh, Functions
                    833: @subsubsection besj0
                    834:
                    835: @c ?expressions functions besj0
                    836: @c ?functions besj0
                    837: @cindex besj0
                    838: @findex besj0
                    839:
                    840:
                    841: The `besj0(x)` function returns the j0th Bessel function of its argument.
                    842: @ref{besj0} expects its argument to be in radians.
                    843:
                    844: @node besj1, besy0, besj0, Functions
                    845: @subsubsection besj1
                    846:
                    847: @c ?expressions functions besj1
                    848: @c ?functions besj1
                    849: @cindex besj1
                    850: @findex besj1
                    851:
                    852:
                    853: The `besj1(x)` function returns the j1st Bessel function of its argument.
                    854: @ref{besj1} expects its argument to be in radians.
                    855:
                    856: @node besy0, besy1, besj1, Functions
                    857: @subsubsection besy0
                    858:
                    859: @c ?expressions functions besy0
                    860: @c ?functions besy0
                    861: @cindex besy0
                    862: @findex besy0
                    863:
                    864:
                    865: The @ref{besy0} function returns the y0th Bessel function of its argument.
                    866: @ref{besy0} expects its argument to be in radians.
                    867:
                    868: @node besy1, ceil, besy0, Functions
                    869: @subsubsection besy1
                    870:
                    871: @c ?expressions functions besy1
                    872: @c ?functions besy1
                    873: @cindex besy1
                    874: @findex besy1
                    875:
                    876:
                    877: The `besy1(x)` function returns the y1st Bessel function of its argument.
                    878: @ref{besy1} expects its argument to be in radians.
                    879:
                    880: @node ceil, cos, besy1, Functions
                    881: @subsubsection ceil
                    882:
                    883: @c ?expressions functions ceil
                    884: @c ?functions ceil
                    885: @cindex ceil
                    886: @findex ceil
                    887:
                    888:
                    889: The `ceil(x)` function returns the smallest integer that is not less than its
                    890: argument.  For complex numbers, @ref{ceil} returns the smallest integer not less
                    891: than the real part of its argument.
                    892:
                    893: @node cos, cosh, ceil, Functions
                    894: @subsubsection cos
                    895:
                    896: @c ?expressions functions cos
                    897: @c ?functions cos
                    898: @cindex cos
                    899: @findex cos
                    900:
                    901:
                    902: The `cos(x)` function returns the cosine of its argument.  `cos` accepts its
                    903: argument in radians or degrees, as selected by @ref{angles}.
                    904:
                    905: @node cosh, erf, cos, Functions
                    906: @subsubsection cosh
                    907:
                    908: @c ?expressions functions cosh
                    909: @c ?functions cosh
                    910: @cindex cosh
                    911: @findex cosh
                    912:
                    913:
                    914: The `cosh(x)` function returns the hyperbolic cosine of its argument.  @ref{cosh}
                    915: expects its argument to be in radians.
                    916:
                    917: @node erf, erfc, cosh, Functions
                    918: @subsubsection erf
                    919:
                    920: @c ?expressions functions erf
                    921: @c ?functions erf
                    922: @cindex erf
                    923: @findex erf
                    924:
                    925:
                    926: The `erf(x)` function returns the error function of the real part of its
                    927: argument.  If the argument is a complex value, the imaginary component is
                    928: ignored.
                    929:
                    930: @node erfc, exp, erf, Functions
                    931: @subsubsection erfc
                    932:
                    933: @c ?expressions functions erfc
                    934: @c ?functions erfc
                    935: @cindex erfc
                    936: @findex erfc
                    937:
                    938:
                    939: The `erfc(x)` function returns 1.0 - the error function of the real part of
                    940: its argument.  If the argument is a complex value, the imaginary component is
                    941: ignored.
                    942:
                    943: @node exp, floor, erfc, Functions
                    944: @subsubsection exp
                    945:
                    946: @c ?expressions functions exp
                    947: @c ?functions exp
                    948: @cindex exp
                    949: @findex exp
                    950:
                    951:
                    952: The `exp(x)` function returns the exponential function of its argument (`e`
                    953: raised to the power of its argument).  On some implementations (notably
                    954: suns), exp(-x) returns undefined for very large x.  A user-defined function
                    955: like safe(x) = x<-100 ? 0 : exp(x) might prove useful in these cases.
                    956:
                    957: @node floor, gamma, exp, Functions
                    958: @subsubsection floor
                    959:
                    960: @c ?expressions functions floor
                    961: @c ?functions floor
                    962: @cindex floor
                    963: @findex floor
                    964:
                    965:
                    966: The `floor(x)` function returns the largest integer not greater than its
                    967: argument.  For complex numbers, @ref{floor} returns the largest integer not
                    968: greater than the real part of its argument.
                    969:
                    970: @node gamma, ibeta, floor, Functions
                    971: @subsubsection gamma
                    972:
                    973: @c ?expressions functions gamma
                    974: @c ?functions gamma
                    975: @cindex gamma
                    976: @findex gamma
                    977:
                    978:
                    979: The `gamma(x)` function returns the gamma function of the real part of its
                    980: argument.  For integer n, gamma(n+1) = n!.  If the argument is a complex
                    981: value, the imaginary component is ignored.
                    982:
                    983: @node ibeta, inverf, gamma, Functions
                    984: @subsubsection ibeta
                    985:
                    986: @c ?expressions functions ibeta
                    987: @c ?functions ibeta
                    988: @cindex ibeta
                    989: @findex ibeta
                    990:
                    991:
                    992: The `ibeta(p,q,x)` function returns the incomplete beta function of the real
                    993: parts of its arguments. p, q > 0 and x in [0:1].  If the arguments are
                    994: complex, the imaginary components are ignored.
                    995:
                    996: @node inverf, igamma, ibeta, Functions
                    997: @subsubsection inverf
                    998:
                    999: @c ?expressions functions inverf
                   1000: @c ?functions inverf
                   1001: @cindex inverf
                   1002: @findex inverf
                   1003:
                   1004:
                   1005: The `inverf(x)` function returns the inverse error function of the real part
                   1006: of its argument.
                   1007:
                   1008: @node igamma, imag, inverf, Functions
                   1009: @subsubsection igamma
                   1010:
                   1011: @c ?expressions functions igamma
                   1012: @c ?functions igamma
                   1013: @cindex igamma
                   1014: @findex igamma
                   1015:
                   1016:
                   1017: The `igamma(a,x)` function returns the incomplete gamma function of the real
                   1018: parts of its arguments.  a > 0 and x >= 0.  If the arguments are complex,
                   1019: the imaginary components are ignored.
                   1020:
                   1021: @node imag, invnorm, igamma, Functions
                   1022: @subsubsection imag
                   1023:
                   1024: @c ?expressions functions imag
                   1025: @c ?functions imag
                   1026: @cindex imag
                   1027: @findex imag
                   1028:
                   1029:
                   1030: The `imag(x)` function returns the imaginary part of its argument as a real
                   1031: number.
                   1032:
                   1033: @node invnorm, int, imag, Functions
                   1034: @subsubsection invnorm
                   1035:
                   1036: @c ?expressions functions invnorm
                   1037: @c ?functions invnorm
                   1038: @cindex invnorm
                   1039: @findex invnorm
                   1040:
                   1041:
                   1042: The `invnorm(x)` function returns the inverse normal distribution function of
                   1043: the real part of its argument.
                   1044:
                   1045: @node int, lgamma, invnorm, Functions
                   1046: @subsubsection int
                   1047:
                   1048: @c ?expressions functions int
                   1049: @c ?functions int
                   1050: @cindex int
                   1051: @findex int
                   1052:
                   1053:
                   1054: The `int(x)` function returns the integer part of its argument, truncated
                   1055: toward zero.
                   1056:
                   1057: @node lgamma, log, int, Functions
                   1058: @subsubsection lgamma
                   1059:
                   1060: @c ?expressions functions lgamma
                   1061: @c ?functions lgamma
                   1062: @cindex lgamma
                   1063: @findex lgamma
                   1064:
                   1065:
                   1066: The `lgamma(x)` function returns the natural logarithm of the gamma function
                   1067: of the real part of its argument.  If the argument is a complex value, the
                   1068: imaginary component is ignored.
                   1069:
                   1070: @node log, log10, lgamma, Functions
                   1071: @subsubsection log
                   1072:
                   1073: @c ?expressions functions log
                   1074: @c ?functions log
                   1075: @cindex log
                   1076: @findex log
                   1077:
                   1078:
                   1079: The `log(x)` function returns the natural logarithm (base `e`) of its
                   1080: argument.
                   1081:
                   1082: @node log10, norm, log, Functions
                   1083: @subsubsection log10
                   1084:
                   1085: @c ?expressions functions log10
                   1086: @c ?functions log10
                   1087: @cindex log10
                   1088: @findex log10
                   1089:
                   1090:
                   1091: The `log10(x)` function returns the logarithm (base 10) of its argument.
                   1092:
                   1093: @node norm, rand, log10, Functions
                   1094: @subsubsection norm
                   1095:
                   1096: @c ?expressions functions norm
                   1097: @c ?functions norm
                   1098: @cindex norm
                   1099: @findex norm
                   1100:
                   1101:
                   1102: The `norm(x)` function returns the normal distribution function (or Gaussian)
                   1103: of the real part of its argument.
                   1104:
                   1105: @node rand, real, norm, Functions
                   1106: @subsubsection rand
                   1107:
                   1108: @c ?expressions functions rand
                   1109: @c ?functions rand
                   1110: @cindex rand
                   1111: @findex rand
                   1112:
                   1113:
                   1114: The `rand(x)` function returns a pseudo random number in the interval [0:1]
                   1115: using the real part of its argument as a seed.  If seed < 0, the sequence
                   1116: is (re)initialized.  If the argument is a complex value, the imaginary
                   1117: component is ignored.
                   1118:
                   1119: @node real, sgn, rand, Functions
                   1120: @subsubsection real
                   1121:
                   1122: @c ?expressions functions real
                   1123: @c ?functions real
                   1124: @cindex real
                   1125: @findex real
                   1126:
                   1127:
                   1128: The `real(x)` function returns the real part of its argument.
                   1129:
                   1130: @node sgn, sin, real, Functions
                   1131: @subsubsection sgn
                   1132:
                   1133: @c ?expressions functions sgn
                   1134: @c ?functions sgn
                   1135: @cindex sgn
                   1136: @findex sgn
                   1137:
                   1138:
                   1139: The `sgn(x)` function returns 1 if its argument is positive, -1 if its
                   1140: argument is negative, and 0 if its argument is 0.  If the argument is a
                   1141: complex value, the imaginary component is ignored.
                   1142:
                   1143: @node sin, sinh, sgn, Functions
                   1144: @subsubsection sin
                   1145:
                   1146: @c ?expressions functions sin
                   1147: @c ?functions sin
                   1148: @cindex sin
                   1149: @findex sin
                   1150:
                   1151:
                   1152: The `sin(x)` function returns the sine of its argument.  `sin` expects its
                   1153: argument to be in radians or degrees, as selected by @ref{angles}.
                   1154:
                   1155: @node sinh, sqrt, sin, Functions
                   1156: @subsubsection sinh
                   1157:
                   1158: @c ?expressions functions sinh
                   1159: @c ?functions sinh
                   1160: @cindex sinh
                   1161: @findex sinh
                   1162:
                   1163:
                   1164: The `sinh(x)` function returns the hyperbolic sine of its argument.  @ref{sinh}
                   1165: expects its argument to be in radians.
                   1166:
                   1167: @node sqrt, tan, sinh, Functions
                   1168: @subsubsection sqrt
                   1169:
                   1170: @c ?expressions functions sqrt
                   1171: @c ?functions sqrt
                   1172: @cindex sqrt
                   1173: @findex sqrt
                   1174:
                   1175:
                   1176: The `sqrt(x)` function returns the square root of its argument.
                   1177:
                   1178: @node tan, tanh, sqrt, Functions
                   1179: @subsubsection tan
                   1180:
                   1181: @c ?expressions functions tan
                   1182: @c ?functions tan
                   1183: @cindex tan
                   1184: @findex tan
                   1185:
                   1186:
                   1187: The `tan(x)` function returns the tangent of its argument.  `tan` expects
                   1188: its argument to be in radians or degrees, as selected by @ref{angles}.
                   1189:
                   1190: @node tanh, column, tan, Functions
                   1191: @subsubsection tanh
                   1192:
                   1193: @c ?expressions functions tanh
                   1194: @c ?functions tanh
                   1195: @cindex tanh
                   1196: @findex tanh
                   1197:
                   1198:
                   1199: The `tanh(x)` function returns the hyperbolic tangent of its argument.  @ref{tanh}
                   1200: expects its argument to be in radians.
                   1201:
                   1202:
                   1203: A few additional functions are also available.
                   1204:
                   1205:
                   1206:
                   1207: @node column, tm_hour, tanh, Functions
                   1208: @subsubsection column
                   1209:
                   1210: @c ?expressions functions column
                   1211: @c ?functions column
                   1212: @cindex column
                   1213: @findex column
                   1214:
                   1215:
                   1216: `column(x)` may be used only in expressions as part of @ref{using} manipulations
                   1217: to fits or datafile plots.  See @ref{using}.
                   1218:
                   1219: @node tm_hour, tm_mday, column, Functions
                   1220: @subsubsection tm_hour
                   1221:
                   1222: @c ?expressions tm_hour
                   1223: @findex tm_hour
                   1224: @c ?functions tm_hour
                   1225: The @ref{tm_hour} function interprets its argument as a time, in seconds from
                   1226: 1 Jan 2000.  It returns the hour (an integer in the range 0--23) as a real.
                   1227:
                   1228: @node tm_mday, tm_min, tm_hour, Functions
                   1229: @subsubsection tm_mday
                   1230:
                   1231: @c ?expressions tm_mday
                   1232: @findex tm_mday
                   1233: @c ?functions tm_mday
                   1234: The @ref{tm_mday} function interprets its argument as a time, in seconds from
                   1235: 1 Jan 2000.  It returns the day of the month (an integer in the range 1--31)
                   1236: as a real.
                   1237:
                   1238: @node tm_min, tm_mon, tm_mday, Functions
                   1239: @subsubsection tm_min
                   1240:
                   1241: @c ?expressions tm_min
                   1242: @findex tm_min
                   1243: @c ?functions tm_min
                   1244: The @ref{tm_min} function interprets its argument as a time, in seconds from
                   1245: 1 Jan 2000.  It returns the minute (an integer in the range 0--59) as a real.
                   1246:
                   1247: @node tm_mon, tm_sec, tm_min, Functions
                   1248: @subsubsection tm_mon
                   1249:
                   1250: @c ?expressions tm_mon
                   1251: @findex tm_mon
                   1252: @c ?functions tm_mon
                   1253: The @ref{tm_mon} function interprets its argument as a time, in seconds from
                   1254: 1 Jan 2000.  It returns the month (an integer in the range 1--12) as a real.
                   1255:
                   1256: @node tm_sec, tm_wday, tm_mon, Functions
                   1257: @subsubsection tm_sec
                   1258:
                   1259: @c ?expressions tm_sec
                   1260: @findex tm_sec
                   1261: @c ?functions tm_sec
                   1262: The @ref{tm_sec} function interprets its argument as a time, in seconds from
                   1263: 1 Jan 2000.  It returns the second (an integer in the range 0--59) as a real.
                   1264:
                   1265: @node tm_wday, tm_yday, tm_sec, Functions
                   1266: @subsubsection tm_wday
                   1267:
                   1268: @c ?expressions tm_wday
                   1269: @findex tm_wday
                   1270: @c ?functions tm_wday
                   1271: The @ref{tm_wday} function interprets its argument as a time, in seconds from
                   1272: 1 Jan 2000.  It returns the day of the week (an integer in the range 1--7) as
                   1273: a real.
                   1274:
                   1275: @node tm_yday, tm_year, tm_wday, Functions
                   1276: @subsubsection tm_yday
                   1277:
                   1278: @c ?expressions tm_yday
                   1279: @findex tm_yday
                   1280: @c ?functions tm_yday
                   1281: The @ref{tm_yday} function interprets its argument as a time, in seconds from
                   1282: 1 Jan 2000.  It returns the day of the year (an integer in the range 1--366)
                   1283: as a real.
                   1284:
                   1285: @node tm_year, valid, tm_yday, Functions
                   1286: @subsubsection tm_year
                   1287:
                   1288: @c ?expressions tm_year
                   1289: @findex tm_year
                   1290: @c ?functions tm_year
                   1291: The @ref{tm_year} function interprets its argument as a time, in seconds from
                   1292: 1 Jan 2000.  It returns the year (an integer) as a real.
                   1293:
                   1294: @node valid,  , tm_year, Functions
                   1295: @subsubsection valid
                   1296:
                   1297: @c ?expressions functions valid
                   1298: @c ?functions valid
                   1299: @cindex valid
                   1300: @findex valid
                   1301:
                   1302:
                   1303: `valid(x)` may be used only in expressions as part of @ref{using} manipulations
                   1304: to fits or datafile plots.  See @ref{using}.
                   1305:
                   1306: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/airfoil.html,Use of functions and complex variables for airfoils }
                   1307:
                   1308: @node Operators, User-defined, Functions, Expressions
                   1309: @subsection Operators
                   1310:
                   1311: @c ?expressions operators
                   1312: @cindex operators
                   1313:
                   1314: The operators in `gnuplot` are the same as the corresponding operators in the
                   1315: C programming language, except that all operators accept integer, real, and
                   1316: complex arguments, unless otherwise noted.  The ** operator (exponentiation)
                   1317: is supported, as in FORTRAN.
                   1318:
                   1319: Parentheses may be used to change order of evaluation.
                   1320:
                   1321: @menu
                   1322: * Unary::
                   1323: * Binary::
                   1324: * Ternary::
                   1325: @end menu
                   1326:
                   1327: @node Unary, Binary, Operators, Operators
                   1328: @subsubsection Unary
                   1329:
                   1330: @c ?expressions operators unary
                   1331: @c ?operators unary
                   1332: @cindex unary
                   1333:
                   1334: The following is a list of all the unary operators and their usages:
                   1335:
                   1336:
                   1337: @example
                   1338:     Symbol      Example    Explanation
                   1339:       -           -a          unary minus
                   1340:       +           +a          unary plus (no-operation)
                   1341:       ~           ~a        * one's complement
                   1342:       !           !a        * logical negation
                   1343:       !           a!        * factorial
                   1344:       $           $3        * call arg/column during @ref{using} manipulation
                   1345:
                   1346: @end example
                   1347:
                   1348: (*) Starred explanations indicate that the operator requires an integer
                   1349: argument.
                   1350:
                   1351: Operator precedence is the same as in Fortran and C.  As in those languages,
                   1352: parentheses may be used to change the order of operation.  Thus -2**2 = -4,
                   1353: but (-2)**2 = 4.
                   1354:
                   1355: The factorial operator returns a real number to allow a greater range.
                   1356:
                   1357: @node Binary, Ternary, Unary, Operators
                   1358: @subsubsection Binary
                   1359:
                   1360: @c ?expressions operators binary
                   1361: @c ?operators binary
                   1362: @cindex binary
                   1363:
                   1364: The following is a list of all the binary operators and their usages:
                   1365:
                   1366:
                   1367: @example
                   1368:     Symbol       Example      Explanation
                   1369:       **          a**b          exponentiation
                   1370:       *           a*b           multiplication
                   1371:       /           a/b           division
                   1372:       %           a%b         * modulo
                   1373:       +           a+b           addition
                   1374:       -           a-b           subtraction
                   1375:       ==          a==b          equality
                   1376:       !=          a!=b          inequality
                   1377:       <           a<b           less than
                   1378:       <=          a<=b          less than or equal to
                   1379:       >           a>b           greater than
                   1380:       >=          a>=b          greater than or equal to
                   1381:       &           a&b         * bitwise AND
                   1382:       ^           a^b         * bitwise exclusive OR
                   1383:       |           a|b         * bitwise inclusive OR
                   1384:       &&          a&&b        * logical AND
                   1385:       ||          a||b        * logical OR
                   1386:
                   1387: @end example
                   1388:
                   1389:
                   1390: (*) Starred explanations indicate that the operator requires integer
                   1391: arguments.
                   1392:
                   1393: Logical AND (&&) and OR (||) short-circuit the way they do in C.  That is,
                   1394: the second `&&` operand is not evaluated if the first is false; the second
                   1395: `||` operand is not evaluated if the first is true.
                   1396:
                   1397: @node Ternary,  , Binary, Operators
                   1398: @subsubsection Ternary
                   1399:
                   1400: @c ?expressions operators ternary
                   1401: @c ?operators ternary
                   1402: @cindex ternary
                   1403:
                   1404: There is a single ternary operator:
                   1405:
                   1406:
                   1407: @example
                   1408:     Symbol       Example      Explanation
                   1409:       ?:          a?b:c     ternary operation
                   1410:
                   1411: @end example
                   1412:
                   1413:
                   1414: The ternary operator behaves as it does in C.  The first argument (a), which
                   1415: must be an integer, is evaluated.  If it is true (non-zero), the second
                   1416: argument (b) is evaluated and returned; otherwise the third argument (c) is
                   1417: evaluated and returned.
                   1418:
                   1419: The ternary operator is very useful both in constructing piecewise functions
                   1420: and in plotting points only when certain conditions are met.
                   1421:
                   1422: Examples:
                   1423:
                   1424: Plot a function that is to equal sin(x) for 0 <= x < 1, 1/x for 1 <= x < 2,
                   1425: and undefined elsewhere:
                   1426: @example
                   1427:       f(x) = 0<=x && x<1 ? sin(x) : 1<=x && x<2 ? 1/x : 1/0
                   1428:       plot f(x)
                   1429: @end example
                   1430:
                   1431: @c ^ <img align=bottom src="http://www.nas.nasa.gov/~woo/gnuplot/doc/ternary.gif" alt="[ternary.gif]" width=640 height=480>
                   1432: Note that `gnuplot` quietly ignores undefined values, so the final branch of
                   1433: the function (1/0) will produce no plottable points.  Note also that f(x)
                   1434: will be plotted as a continuous function across the discontinuity if a line
                   1435: style is used.  To plot it discontinuously, create separate functions for the
                   1436: two pieces.  (Parametric functions are also useful for this purpose.)
                   1437:
                   1438: For data in a file, plot the average of the data in columns 2 and 3 against
                   1439: the datum in column 1, but only if the datum in column 4 is non-negative:
                   1440:
                   1441: @example
                   1442:       plot 'file' using 1:( $4<0 ? 1/0 : ($2+$3)/2 )
                   1443:
                   1444: @end example
                   1445:
                   1446: Please see @ref{using} for an explanation of the @ref{using} syntax.
                   1447:
                   1448: @node User-defined,  , Operators, Expressions
                   1449: @subsection User-defined
                   1450:
                   1451: @c ?expressions user-defined
                   1452: @cindex user-defined
                   1453:
                   1454: @cindex variables
                   1455: @opindex variables
                   1456:
                   1457:
                   1458: New user-defined variables and functions of one through five variables may
                   1459: be declared and used anywhere, including on the @ref{plot} command itself.
                   1460:
                   1461: User-defined function syntax:
                   1462: @example
                   1463:       <func-name>( <dummy1> @{,<dummy2>@} ... @{,<dummy5>@} ) = <expression>
                   1464:
                   1465: @end example
                   1466:
                   1467: where <expression> is defined in terms of <dummy1> through <dummy5>.
                   1468:
                   1469: User-defined variable syntax:
                   1470: @example
                   1471:       <variable-name> = <constant-expression>
                   1472:
                   1473: @end example
                   1474:
                   1475: Examples:
                   1476: @example
                   1477:       w = 2
                   1478:       q = floor(tan(pi/2 - 0.1))
                   1479:       f(x) = sin(w*x)
                   1480:       sinc(x) = sin(pi*x)/(pi*x)
                   1481:       delta(t) = (t == 0)
                   1482:       ramp(t) = (t > 0) ? t : 0
                   1483:       min(a,b) = (a < b) ? a : b
                   1484:       comb(n,k) = n!/(k!*(n-k)!)
                   1485:       len3d(x,y,z) = sqrt(x*x+y*y+z*z)
                   1486:       plot f(x) = sin(x*a), a = 0.2, f(x), a = 0.4, f(x)
                   1487:
                   1488: @end example
                   1489:
                   1490: @c ^ <img align=bottom src="http://www.nas.nasa.gov/~woo/gnuplot/doc/userdefined.gif" alt="[userdefined.gif]" width=640 height=480>
                   1491: Note that the variable `pi` is already defined.  But it is in no way magic;
                   1492: you may redefine it to be whatever you like.
                   1493:
                   1494: Valid names are the same as in most programming languages: they must begin
                   1495: with a letter, but subsequent characters may be letters, digits, "$", or "_".
                   1496: Note, however, that the `fit` mechanism uses several variables with names
                   1497: that begin "FIT_".  It is safest to avoid using such names.  "FIT_LIMIT",
                   1498: however, is one that you may wish to redefine. See the documentation
                   1499: on `fit` for details.
                   1500:
                   1501:
                   1502: See @ref{functions}, @ref{variables}, and `fit`.
                   1503:
                   1504: @node Glossary, Plotting, Expressions, gnuplot
                   1505: @section Glossary
                   1506:
                   1507: @cindex glossary
                   1508:
                   1509: Throughout this document an attempt has been made to maintain consistency of
                   1510: nomenclature.  This cannot be wholly successful because as `gnuplot` has
                   1511: evolved over time, certain command and keyword names have been adopted that
                   1512: preclude such perfection.  This section contains explanations of the way
                   1513: some of these terms are used.
                   1514:
                   1515: A "page" or "screen" is the entire area addressable by `gnuplot`.  On a
                   1516: monitor, it is the full screen; on a plotter, it is a single sheet of paper.
                   1517:
                   1518: A screen may contain one or more "plots".  A plot is defined by an abscissa
                   1519: and an ordinate, although these need not actually appear on it, as well as
                   1520: the margins and any text written therein.
                   1521:
                   1522: A plot contains one "graph".  A graph is defined by an abscissa and an
                   1523: ordinate, although these need not actually appear on it.
                   1524:
                   1525: A graph may contain one or more "lines".  A line is a single function or
                   1526: data set.  "Line" is also a plotting style.  The word will also be used in
                   1527: sense "a line of text".  Presumably the context will remove any ambiguity.
                   1528:
                   1529: The lines on a graph may have individual names.  These may be listed
                   1530: together with a sample of the plotting style used to represent them in
                   1531: the "key", sometimes also called the "legend".
                   1532:
                   1533: The word "title" occurs with multiple meanings in `gnuplot`.  In this
                   1534: document, it will always be preceded by the adjective "plot", "line", or
                   1535: "key" to differentiate among them.
                   1536:
                   1537: A graph may have up to four labelled axes.  Various commands have the name of
                   1538: an axis built into their names, such as @ref{xlabel}.  Other commands have
                   1539: one or more axis names as options, such as `set logscale xy`.  The names of
                   1540: the four axes for these usages are "x" for the axis along the bottom border
                   1541: of the plot, "y" for the left border, "x2" for the top border, and "y2" for
                   1542: the right border.  "z" also occurs in commands used with 3-d plotting.
                   1543:
                   1544: When discussing data files, the term "record" will be resurrected and used
                   1545: to denote a single line of text in the file, that is, the characters between
                   1546: newline or end-of-record characters.  A "point" is the datum extracted from
                   1547: a single record.  A "datablock" is a set of points from consecutive records,
                   1548: delimited by blank records.  A line, when referred to in the context of a
                   1549: data file, is a subset of a datablock.
                   1550:
                   1551: @node Plotting, Start-up, Glossary, gnuplot
                   1552: @section Plotting
                   1553:
                   1554: @cindex plotting
                   1555:
                   1556: There are three `gnuplot` commands which actually create a plot: @ref{plot},
                   1557: `splot` and @ref{replot}.  @ref{plot} generates 2-d plots, `splot` generates 3-d
                   1558: plots (actually 2-d projections, of course), and @ref{replot} appends its
                   1559: arguments to the previous @ref{plot} or `splot` and executes the modified
                   1560: command.
                   1561:
                   1562: Much of the general information about plotting can be found in the discussion
                   1563: of @ref{plot}; information specific to 3-d can be found in the `splot` section.
                   1564:
                   1565: @ref{plot} operates in either rectangular or polar coordinates -- see `set polar`
                   1566: for details of the latter.  `splot` operates only in rectangular coordinates,
                   1567: but the @ref{mapping} command allows for a few other coordinate systems to be
                   1568: treated.  In addition, the @ref{using} option allows both @ref{plot} and `splot` to
                   1569: treat almost any coordinate system you'd care to define.
                   1570:
                   1571: `splot` can plot surfaces and contours in addition to points and/or lines.
                   1572: In addition to `splot`, see @ref{isosamples} for information about defining
                   1573: the grid for a 3-d function;  `splot datafile` for information about the
                   1574: requisite file structure for 3-d data values; and @ref{contour} and @ref{cntrparam} for information about contours.
                   1575:
                   1576: @node Start-up, Substitution, Plotting, gnuplot
                   1577: @section Start-up
                   1578:
                   1579: @cindex startup
                   1580:
                   1581: @cindex start
                   1582:
                   1583: @cindex .gnuplot
                   1584:
                   1585: When `gnuplot` is run, it looks for an initialization file to load.  This
                   1586: file is called `.gnuplot` on Unix and AmigaOS systems, and `GNUPLOT.INI` on
                   1587: other systems.  If this file is not found in the current directory, the
                   1588: program will look for it in the home directory (under AmigaOS,
                   1589: Atari(single)TOS, MS-DOS and OS/2, the environment variable `gnuplot` should
                   1590: contain the name of this directory).  Note: if NOCWDRC is defined during the
                   1591: installation, `gnuplot` will not read from the current directory.
                   1592:
                   1593: If the initialization file is found, `gnuplot` executes the commands in it.
                   1594: These may be any legal `gnuplot` commands, but typically they are limited to
                   1595: setting the terminal and defining frequently-used functions or variables.
                   1596:
                   1597: @node Substitution, Syntax, Start-up, gnuplot
                   1598: @section Substitution
                   1599:
                   1600: @cindex substitution
                   1601:
                   1602: Command-line substitution is specified by a system command enclosed in
                   1603: backquotes.  This command is spawned and the output it produces replaces
                   1604: the name of the command (and backquotes) on the command line.  Some
                   1605: implementations also support pipes;  see @ref{special-filenames}.
                   1606:
                   1607: Newlines in the output produced by the spawned command are replaced with
                   1608: blanks.
                   1609:
                   1610: Command-line substitution can be used anywhere on the `gnuplot` command
                   1611: line.
                   1612:
                   1613: Example:
                   1614:
                   1615: This will run the program `leastsq` and replace `leastsq` (including
                   1616: backquotes) on the command line with its output:
                   1617: @example
                   1618:       f(x) = `leastsq`
                   1619:
                   1620: @end example
                   1621:
                   1622: or, in VMS
                   1623: @example
                   1624:       f(x) = `run leastsq`
                   1625:
                   1626: @end example
                   1627:
                   1628: @node Syntax, Time/Date_data, Substitution, gnuplot
                   1629: @section Syntax
                   1630:
                   1631: @cindex syntax
                   1632:
                   1633: @cindex specify
                   1634:
                   1635: @cindex punctuation
                   1636:
                   1637: The general rules of syntax and punctuation in `gnuplot` are that keywords
                   1638: and options are order-dependent.  Options and any accompanying parameters are
                   1639: separated by spaces whereas lists and coordinates are separated by commas.
                   1640: Ranges are separated by colons and enclosed in brackets [], text and file
                   1641: names are enclosed in quotes, and a few miscellaneous things are enclosed
                   1642: in parentheses.  Braces @{@} are used for a few special purposes.
                   1643:
                   1644: Commas are used to separate coordinates on the `set` commands @ref{arrow},
                   1645: @ref{key}, and @ref{label}; the list of variables being fitted (the list after the
                   1646: `via` keyword on the `fit` command); lists of discrete contours or the loop
                   1647: parameters which specify them on the @ref{cntrparam} command; the arguments
                   1648: of the `set` commands @ref{dgrid3d}, @ref{dummy}, @ref{isosamples}, @ref{offsets}, @ref{origin},
                   1649: @ref{samples}, @ref{size}, `time`, and @ref{view}; lists of tics or the loop parameters
                   1650: which specify them; the offsets for titles and axis labels; parametric
                   1651: functions to be used to calculate the x, y, and z coordinates on the @ref{plot},
                   1652: @ref{replot} and `splot` commands; and the complete sets of keywords specifying
                   1653: individual plots (data sets or functions) on the @ref{plot}, @ref{replot} and `splot`
                   1654: commands.
                   1655:
                   1656: Parentheses are used to delimit sets of explicit tics (as opposed to loop
                   1657: parameters) and to indicate computations in the @ref{using} filter of the `fit`,
                   1658: @ref{plot}, @ref{replot} and `splot` commands.
                   1659:
                   1660: (Parentheses and commas are also used as usual in function notation.)
                   1661:
                   1662: Brackets are used to delimit ranges, whether they are given on `set`, @ref{plot}
                   1663: or `splot` commands.
                   1664:
                   1665: Colons are used to separate extrema in `range` specifications (whether they
                   1666: are given on `set`, @ref{plot} or `splot` commands) and to separate entries in
                   1667: the @ref{using} filter of the @ref{plot}, @ref{replot}, `splot` and `fit` commands.
                   1668:
                   1669: Semicolons are used to separate commands given on a single command line.
                   1670:
                   1671: Braces are used in text to be specially processed by some terminals, like
                   1672: `postscript`.  They are also used to denote complex numbers: @{3,2@} = 3 + 2i.
                   1673:
                   1674: Text may be enclosed in single- or double-quotes.  Backslash processing of
                   1675: sequences like \n (newline) and \345 (octal character code) is performed for
                   1676: double-quoted strings, but not for single-quoted strings.
                   1677:
                   1678: The justification is the same for each line of a multi-line string.  Thus the
                   1679: center-justified string
                   1680: @example
                   1681:       "This is the first line of text.\nThis is the second line."
                   1682: @end example
                   1683:
                   1684: will produce
                   1685: @example
                   1686:                        This is the first line of text.
                   1687:                           This is the second line.
                   1688: @end example
                   1689:
                   1690: but
                   1691: @example
                   1692:       'This is the first line of text.\nThis is the second line.'
                   1693: @end example
                   1694:
                   1695: will produce
                   1696: @example
                   1697:           This is the first line of text.\nThis is the second line.
                   1698:
                   1699: @end example
                   1700:
                   1701: Filenames may be entered with either single- or double-quotes.  In this
                   1702: manual the command examples generally single-quote filenames and double-quote
                   1703: other string tokens for clarity.
                   1704:
                   1705: At present you should not embed \n inside @{@} when using the enhanced option
                   1706: of the postscript terminal.
                   1707:
                   1708: The EEPIC, Imagen, Uniplex, LaTeX, and TPIC drivers allow a newline to be
                   1709: specified by \\ in a single-quoted string or \\\\ in a double-quoted string.
                   1710:
                   1711: Back-quotes are used to enclose system commands for substitution.
                   1712:
                   1713: @node Time/Date_data,  , Syntax, gnuplot
                   1714: @section Time/Date data
                   1715:
                   1716: @cindex time/date
                   1717:
                   1718: `gnuplot` supports the use of time and/or date information as input data.
                   1719: This feature is activated by the commands `set xdata time`, `set ydata time`,
                   1720: etc.
                   1721:
                   1722: Internally all times and dates are converted to the number of seconds from
                   1723: the year 2000.  The command @ref{timefmt} defines the format for all inputs:
                   1724: data files, ranges, tics, label positions---in short, anything that accepts a
                   1725: data value must receive it in this format.  Since only one input format can
                   1726: be in force at a given time, all time/date quantities being input at the same
                   1727: time must be presented in the same format.  Thus if both x and y data in a
                   1728: file are time/date, they must be in the same format.
                   1729:
                   1730: The conversion to and from seconds assumes Universal Time (which is the same
                   1731: as Greenwich Standard Time).  There is no provision for changing the time
                   1732: zone or for daylight savings.  If all your data refer to the same time zone
                   1733: (and are all either daylight or standard) you don't need to worry about these
                   1734: things.  But if the absolute time is crucial for your application, you'll
                   1735: need to convert to UT yourself.
                   1736:
                   1737: Commands like @ref{xrange} will re-interpret the integer according to
                   1738: @ref{timefmt}.  If you change @ref{timefmt}, and then `show` the quantity again, it
                   1739: will be displayed in the new @ref{timefmt}.  For that matter, if you give the
                   1740: deactivation command (like @ref{xdata}), the quantity will be shown in its
                   1741: numerical form.
                   1742:
                   1743: The command `set format` defines the format that will be used for tic labels,
                   1744: whether or not the specified axis is time/date.
                   1745:
                   1746: If time/date information is to be plotted from a file, the @ref{using} option
                   1747: _must_ be used on the @ref{plot} or `splot` command.  These commands simply use
                   1748: white space to separate columns, but white space may be embedded within the
                   1749: time/date string.  If you use tabs as a separator, some trial-and-error may
                   1750: be necessary to discover how your system treats them.
                   1751:
                   1752: The following example demonstrates time/date plotting.
                   1753:
                   1754: Suppose the file "data" contains records like
                   1755:
                   1756: @example
                   1757:       03/21/95 10:00  6.02e23
                   1758:
                   1759: @end example
                   1760:
                   1761: This file can be plotted by
                   1762:
                   1763: @example
                   1764:       set xdata time
                   1765:       set timefmt "%m/%d/%y"
                   1766:       set xrange ["03/21/95":"03/22/95"]
                   1767:       set format x "%m/%d"
                   1768:       set timefmt "%m/%d/%y %H:%M"
                   1769:       plot "data" using 1:3
                   1770:
                   1771: @end example
                   1772:
                   1773: which will produce xtic labels that look like "03/21".
                   1774:
                   1775: See the descriptions of each command for more details.
                   1776:
                   1777: @node Commands, Graphical_User_Interfaces, gnuplot, Top
                   1778: @chapter Commands
                   1779:
                   1780: @cindex commands
                   1781:
                   1782: This section lists the commands acceptable to `gnuplot` in alphabetical
                   1783: order.  Printed versions of this document contain all commands; on-line
                   1784: versions may not be complete.  Indeed, on some systems there may be no
                   1785: commands at all listed under this heading.
                   1786:
                   1787: Note that in most cases unambiguous abbreviations for command names and their
                   1788: options are permissible, i.e., "`p f(x) w l`" instead of "`plot f(x) with
                   1789: lines`".
                   1790:
                   1791: In the syntax descriptions, braces (@{@}) denote optional arguments and a
                   1792: vertical bar (|) separates mutually exclusive choices.
                   1793:
                   1794: @menu
                   1795: * cd::
                   1796: * call::
                   1797: * clear::
                   1798: * exit::
                   1799: * fit::
                   1800: * help::
                   1801: * if::
                   1802: * load::
                   1803: * pause::
                   1804: * plot::
                   1805: * print::
                   1806: * pwd::
                   1807: * quit::
                   1808: * replot::
                   1809: * reread::
                   1810: * reset::
                   1811: * save::
                   1812: * set-show::
                   1813: * shell::
                   1814: * splot::
                   1815: * test::
                   1816: * update::
                   1817: @end menu
                   1818:
                   1819: @node cd, call, Commands, Commands
                   1820: @section cd
                   1821:
                   1822: @c ?commands cd
                   1823: @cindex cd
                   1824: @cmindex cd
                   1825:
                   1826:
                   1827: The @ref{cd} command changes the working directory.
                   1828:
                   1829: Syntax:
                   1830: @example
                   1831:       cd '<directory-name>'
                   1832:
                   1833: @end example
                   1834:
                   1835: The directory name must be enclosed in quotes.
                   1836:
                   1837: Examples:
                   1838: @example
                   1839:       cd 'subdir'
                   1840:       cd ".."
                   1841:
                   1842: @end example
                   1843:
                   1844: DOS users _must_ use single-quotes---backslash [\] has special significance
                   1845: inside double-quotes.  For example,
                   1846: @example
                   1847:       cd "c:\newdata"
                   1848: @end example
                   1849:
                   1850: fails, but
                   1851: @example
                   1852:       cd 'c:\newdata'
                   1853: @end example
                   1854:
                   1855: works as expected.
                   1856:
                   1857: @node call, clear, cd, Commands
                   1858: @section call
                   1859:
                   1860: @c ?commands call
                   1861: @cindex call
                   1862: @cmindex call
                   1863:
                   1864:
                   1865: The @ref{call} command is identical to the load command with one exception: you
                   1866: can have up to ten additional parameters to the command (delimited according
                   1867: to the standard parser rules) which can be substituted into the lines read
                   1868: from the file.  As each line is read from the @ref{call}ed input file, it is
                   1869: scanned for the sequence `$` (dollar-sign) followed by a digit (0--9).  If
                   1870: found, the sequence is replaced by the corresponding parameter from the
                   1871: @ref{call} command line.  If the parameter was specified as a string in the
                   1872: @ref{call} line, it is substituted without its enclosing quotes.  `$` followed by
                   1873: any character other than a digit will be that character.  E.g. use `$$` to
                   1874: get a single `$`.  Providing more than ten parameters on the @ref{call} command
                   1875: line will cause an error.  A parameter that was not provided substitutes as
                   1876: nothing.  Files being @ref{call}ed may themselves contain @ref{call} or @ref{load}
                   1877: commands.
                   1878:
                   1879: The @ref{call} command _must_ be the last command on a multi-command line.
                   1880:
                   1881: Syntax:
                   1882: @example
                   1883:       call "<input-file>" <parameter-0> <parm-1> ... <parm-9>
                   1884:
                   1885: @end example
                   1886:
                   1887: The name of the input file must be enclosed in quotes, and it is recommended
                   1888: that parameters are similarly enclosed in quotes (future versions of gnuplot
                   1889: may treat quoted and unquoted arguments differently).
                   1890:
                   1891: Example:
                   1892:
                   1893: If the file 'calltest.gp' contains the line:
                   1894: @example
                   1895:       print "p0=$0 p1=$1 p2=$2 p3=$3 p4=$4 p5=$5 p6=$6 p7=x$7x"
                   1896:
                   1897: @end example
                   1898:
                   1899: entering the command:
                   1900: @example
                   1901:       call 'calltest.gp' "abcd" 1.2 + "'quoted'" -- "$2"
                   1902:
                   1903: @end example
                   1904:
                   1905: will display:
                   1906: @example
                   1907:       p0=abcd p1=1.2 p2=+ p3='quoted' p4=- p5=- p6=$2 p7=xx
                   1908:
                   1909: @end example
                   1910:
                   1911: NOTE: there is a clash in syntax with the datafile @ref{using} callback
                   1912: operator.  Use `$$n` or `column(n)` to access column n from a datafile inside
                   1913: a @ref{call}ed datafile plot.
                   1914:
                   1915: @node clear, exit, call, Commands
                   1916: @section clear
                   1917:
                   1918: @c ?commands clear
                   1919: @cindex clear
                   1920: @cmindex clear
                   1921:
                   1922:
                   1923: The @ref{clear} command erases the current screen or output device as specified
                   1924: by @ref{output}.  This usually generates a formfeed on hardcopy devices.  Use
                   1925: @ref{terminal} to set the device type.
                   1926:
                   1927: For some terminals @ref{clear} erases only the portion of the plotting surface
                   1928: defined by @ref{size}, so for these it can be used in conjunction with @ref{multiplot} to create an inset.
                   1929:
                   1930: Example:
                   1931: @example
                   1932:       set multiplot
                   1933:       plot sin(x)
                   1934:       set origin 0.5,0.5
                   1935:       set size 0.4,0.4
                   1936:       clear
                   1937:       plot cos(x)
                   1938:       set nomultiplot
                   1939:
                   1940: @end example
                   1941:
                   1942: Please see @ref{multiplot}, @ref{size}, and @ref{origin} for details of these
                   1943: commands.
                   1944:
                   1945: @node exit, fit, clear, Commands
                   1946: @section exit
                   1947:
                   1948: @c ?commands exit
                   1949: @cindex exit
                   1950: @cmindex exit
                   1951:
                   1952:
                   1953: The commands @ref{exit} and @ref{quit} and the END-OF-FILE character will exit the
                   1954: current `gnuplot` command file and @ref{load} the next one.  See "help
                   1955: batch/interactive" for more details.
                   1956:
                   1957: Each of these commands will clear the output device (as does the @ref{clear}
                   1958: command) before exiting.
                   1959:
                   1960: @node fit, help, exit, Commands
                   1961: @section fit
                   1962:
                   1963: @c ?commands fit
                   1964: @cindex fit
                   1965: @cmindex fit
                   1966:
                   1967:
                   1968: @cindex least-squares
                   1969:
                   1970: @cindex Marquardt
                   1971:
                   1972: The `fit` command can fit a user-defined function to a set of data points
                   1973: (x,y) or (x,y,z), using an implementation of the nonlinear least-squares
                   1974: (NLLS) Marquardt-Levenberg algorithm.  Any user-defined variable occurring in
                   1975: the function body may serve as a fit parameter, but the return type of the
                   1976: function must be real.
                   1977:
                   1978: Syntax:
                   1979: @example
                   1980:       fit @{[xrange] @{[yrange]@}@} <function> '<datafile>'
                   1981:           @{datafile-modifiers@}
                   1982:           via '<parameter file>' | <var1>@{,<var2>,...@}
                   1983:
                   1984: @end example
                   1985:
                   1986: Ranges may be specified to temporarily limit the data which is to be fitted;
                   1987: any out-of-range data points are ignored. The syntax is
                   1988: @example
                   1989:       [@{dummy_variable=@}@{<min>@}@{:<max>@}],
                   1990: @end example
                   1991:
                   1992: analogous to @ref{plot}; see @ref{ranges}.
                   1993:
                   1994: <function> is any valid `gnuplot` expression, although it is usual to use a
                   1995: previously user-defined function of the form f(x) or f(x,y).
                   1996:
                   1997: <datafile> is treated as in the @ref{plot} command.  All the `plot datafile`
                   1998: modifiers (@ref{using}, @ref{every},...) except @ref{smooth} are applicable to `fit`.
                   1999: See `plot datafile`.
                   2000:
                   2001: The default data formats for fitting functions with a single independent
                   2002: variable, y=f(x), are @{x:@}y or x:y:s; those formats can be changed with
                   2003: the datafile @ref{using} qualifier.  The third item, (a column number or an
                   2004: expression), if present, is interpreted as the standard deviation of the
                   2005: corresponding y value and is used to compute a weight for the datum, 1/s**2.
                   2006: Otherwise, all data points are weighted equally, with a weight of one.
                   2007:
                   2008: To fit a function with two independent variables, z=f(x,y), the required
                   2009: format is @ref{using} with four items, x:y:z:s.  The complete format must be
                   2010: given---no default columns are assumed for a missing token.  Weights for
                   2011: each data point are evaluated from 's' as above.  If error estimates are
                   2012: not available, a constant value can be specified as a constant expression
                   2013: (see @ref{using}), e.g., `using 1:2:3:(1)`.
                   2014:
                   2015: Multiple datasets may be simultaneously fit with functions of one
                   2016: independent variable by making y a 'pseudo-variable', e.g., the dataline
                   2017: number, and fitting as two independent variables.  See `fit multibranch`.
                   2018:
                   2019: The `via` qualifier specifies which parameters are to be adjusted, either
                   2020: directly, or by referencing a parameter file.
                   2021:
                   2022: Examples:
                   2023: @example
                   2024:       f(x) = a*x**2 + b*x + c
                   2025:       g(x,y) = a*x**2 + b*y**2 + c*x*y
                   2026:       FIT_LIMIT = 1e-6
                   2027:       fit f(x) 'measured.dat' via 'start.par'
                   2028:       fit f(x) 'measured.dat' using 3:($7-5) via 'start.par'
                   2029:       fit f(x) './data/trash.dat' using 1:2:3 via a, b, c
                   2030:       fit g(x,y) 'surface.dat' using 1:2:3:(1) via a, b, c
                   2031:
                   2032: @end example
                   2033:
                   2034: After each iteration step, detailed information about the current state
                   2035: of the fit is written to the display.  The same information about the
                   2036: initial and final states is written to a log file, "fit.log".  This file
                   2037: is always appended to, so as to not lose any previous fit history;  it
                   2038: should be deleted or renamed as desired.
                   2039:
                   2040: The fit may be interrupted by pressing Ctrl-C (any key but Ctrl-C under
                   2041: MSDOS and Atari Multitasking Systems).  After the current iteration
                   2042: completes, you have the option to (1) stop the fit and accept the current
                   2043: parameter values, (2) continue the fit, (3) execute a `gnuplot` command
                   2044: as specified by the environment variable FIT_SCRIPT.  The default for
                   2045: FIT_SCRIPT is @ref{replot}, so if you had previously plotted both the data
                   2046: and the fitting function in one graph, you can display the current state
                   2047: of the fit.
                   2048:
                   2049: Once `fit` has finished, the @ref{update} command may be used to store final
                   2050: values in a file for subsequent use as a parameter file.   See @ref{update}
                   2051: for details.
                   2052:
                   2053: @menu
                   2054: * adjustable_parameters::
                   2055: * beginner's_guide::
                   2056: * error_estimates::
                   2057: * fit_controlling::
                   2058: * multi-branch::
                   2059: * starting_values::
                   2060: * tips::
                   2061: @end menu
                   2062:
                   2063: @node adjustable_parameters, beginner's_guide, fit, fit
                   2064: @subsection adjustable parameters
                   2065:
                   2066: @c ?commands fit parameters
                   2067: @c ?fit parameters
                   2068: @c ?commands fit adjustable_parameters
                   2069: @c ?fit adjustable_parameters
                   2070: @cindex fit_parameters
                   2071:
                   2072: There are two ways that `via` can specify the parameters to be adjusted,
                   2073: either directly on the command line or indirectly, by referencing a
                   2074: parameter file.  The two use different means to set initial values.
                   2075:
                   2076: Adjustable parameters can be specified by a comma-separated list of variable
                   2077: names after the `via` keyword.  Any variable that is not already defined is
                   2078: is created with an initial value of 1.0.  However, the fit is more likely
                   2079: to converge rapidly if the variables have been previously declared with more
                   2080: appropriate starting values.
                   2081:
                   2082: In a parameter file, each parameter to be varied and a corresponding initial
                   2083: value are specified, one per line, in the form
                   2084: @example
                   2085:       varname = value
                   2086:
                   2087: @end example
                   2088:
                   2089: Comments, marked by '#', and blank lines are permissible.  The
                   2090: special form
                   2091: @example
                   2092:       varname = value       # FIXED
                   2093:
                   2094: @end example
                   2095:
                   2096: means that the variable is treated as a 'fixed parameter', initialized by the
                   2097: parameter file, but not adjusted by `fit`.  For clarity, it may be useful to
                   2098: designate variables as fixed parameters so that their values are reported by
                   2099: `fit`.  The keyword `# FIXED` has to appear in exactly this form.
                   2100:
                   2101:
                   2102: @node beginner's_guide, error_estimates, adjustable_parameters, fit
                   2103: @subsection beginner's guide
                   2104:
                   2105: @c ?commands fit beginners_guide
                   2106: @c ?fit beginners_guide
                   2107: @c ?fit guide
                   2108: @cindex fitting
                   2109:
                   2110: `fit` is used to find a set of parameters that 'best' fits your data to your
                   2111: user-defined function.  The fit is judged on the basis of the the sum of the
                   2112: squared differences or 'residuals' (SSR) between the input data points and
                   2113: the function values, evaluated at the same places.  This quantity is often
                   2114: called 'chisquare' (i.e., the Greek letter chi, to the power of 2).  The
                   2115: algorithm attempts to minimize SSR, or more precisely, WSSR, as the residuals
                   2116: are 'weighted' by the input data errors (or 1.0) before being squared; see
                   2117: `fit error_estimates` for details.
                   2118:
                   2119: That's why it is called 'least-squares fitting'.  Let's look at an example
                   2120: to see what is meant by 'non-linear', but first we had better go over some
                   2121: terms.  Here it is convenient to use z as the dependent variable for
                   2122: user-defined functions of either one independent variable, z=f(x), or two
                   2123: independent variables, z=f(x,y).  A parameter is a user-defined variable
                   2124: that `fit` will adjust, i.e., an unknown quantity in the function
                   2125: declaration.  Linearity/non-linearity refers to the relationship of the
                   2126: dependent variable, z, to the parameters which `fit` is adjusting, not of
                   2127: z to the independent variables, x and/or y.  (To be technical, the
                   2128: second @{and higher@} derivatives of the fitting function with respect to
                   2129: the parameters are zero for a linear least-squares problem).
                   2130:
                   2131: For linear least-squares (LLS), the user-defined function will be a sum of
                   2132: simple functions, not involving any parameters, each multiplied by one
                   2133: parameter.  NLLS handles more complicated functions in which parameters can
                   2134: be used in a large number of ways.  An example that illustrates the
                   2135: difference between linear and nonlinear least-squares is the Fourier series.
                   2136: One member may be written as
                   2137: @example
                   2138:      z=a*sin(c*x) + b*cos(c*x).
                   2139: @end example
                   2140:
                   2141: If a and b are the unknown parameters and c is constant, then estimating
                   2142: values of the parameters is a linear least-squares problem.  However, if
                   2143: c is an unknown parameter, the problem is nonlinear.
                   2144:
                   2145: In the linear case, parameter values can be determined by comparatively
                   2146: simple linear algebra, in one direct step.  However LLS is a special case
                   2147: which is also solved along with more general NLLS problems by the iterative
                   2148: procedure that `gnuplot` uses.  `fit` attempts to find the minimum by doing
                   2149: a search.  Each step (iteration) calculates WSSR with a new set of parameter
                   2150: values.  The Marquardt-Levenberg algorithm selects the parameter values for
                   2151: the next iteration.  The process continues until a preset criterium is met,
                   2152: either (1) the fit has "converged" (the relative change in WSSR is less than
                   2153: FIT_LIMIT), or (2) it reaches a preset iteration count limit, FIT_MAXITER
                   2154: (see @ref{variables}).  The fit may also be interrupted
                   2155: and subsequently halted from the keyboard (see `fit`).
                   2156:
                   2157: Often the function to be fitted will be based on a model (or theory) that
                   2158: attempts to describe or predict the behaviour of the data.  Then `fit` can
                   2159: be used to find values for the free parameters of the model, to determine
                   2160: how well the data fits the model, and to estimate an error range for each
                   2161: parameter.  See `fit error_estimates`.
                   2162:
                   2163: Alternatively, in curve-fitting, functions are selected independent of
                   2164: a model (on the basis of experience as to which are likely to describe
                   2165: the trend of the data with the desired resolution and a minimum number
                   2166: of parameters*functions.)  The `fit` solution then provides an analytic
                   2167: representation of the curve.
                   2168:
                   2169: However, if all you really want is a smooth curve through your data points,
                   2170: the @ref{smooth} option to @ref{plot} may be what you've been looking for rather
                   2171: than `fit`.
                   2172:
                   2173: @node error_estimates, fit_controlling, beginner's_guide, fit
                   2174: @subsection error estimates
                   2175:
                   2176: @c ?commands fit error_estimate
                   2177: @c ?fit error_estimate
                   2178: @c ?fit errors
                   2179: In `fit`, the term "error" is used in two different contexts, data error
                   2180: estimates and parameter error estimates.
                   2181:
                   2182: Data error estimates are used to calculate the relative weight of each data
                   2183: point when determining the weighted sum of squared residuals, WSSR or
                   2184: chisquare.  They can affect the parameter estimates, since they determine
                   2185: how much influence the deviation of each data point from the fitted function
                   2186: has on the final values.  Some of the `fit` output information, including
                   2187: the parameter error estimates, is more meaningful if accurate data error
                   2188: estimates have been provided.
                   2189:
                   2190: The 'statistical overview' describes some of the `fit` output and gives some
                   2191: background for the 'practical guidelines'.
                   2192:
                   2193: @menu
                   2194: * statistical_overview::
                   2195: * practical_guidelines::
                   2196: @end menu
                   2197:
                   2198: @node statistical_overview, practical_guidelines, error_estimates, error_estimates
                   2199: @subsubsection statistical overview
                   2200:
                   2201: @c ?commands fit error statistical_overview
                   2202: @c ?fit error statistical_overview
                   2203: @cindex statistical_overview
                   2204:
                   2205: The theory of non-linear least-squares (NLLS) is generally described in terms
                   2206: of a normal distribution of errors, that is, the input data is assumed to be
                   2207: a sample from a population having a given mean and a Gaussian (normal)
                   2208: distribution about the mean with a given standard deviation.  For a sample of
                   2209: sufficiently large size, and knowing the population standard deviation, one
                   2210: can use the statistics of the chisquare distribution to describe a "goodness
                   2211: of fit" by looking at the variable often called "chisquare".  Here, it is
                   2212: sufficient to say that a reduced chisquare (chisquare/degrees of freedom,
                   2213: where degrees of freedom is the number of datapoints less the number of
                   2214: parameters being fitted) of 1.0 is an indication that the weighted sum of
                   2215: squared deviations between the fitted function and the data points is the
                   2216: same as that expected for a random sample from a population characterized by
                   2217: the function with the current value of the parameters and the given standard
                   2218: deviations.
                   2219:
                   2220: If the standard deviation for the population is not constant, as in counting
                   2221: statistics where variance = counts, then each point should be individually
                   2222: weighted when comparing the observed sum of deviations and the expected sum
                   2223: of deviations.
                   2224:
                   2225: At the conclusion `fit` reports 'stdfit', the standard deviation of the fit,
                   2226: which is the rms of the residuals, and the variance of the residuals, also
                   2227: called 'reduced chisquare' when the data points are weighted.  The number of
                   2228: degrees of freedom (the number of data points minus the number of fitted
                   2229: parameters) is used in these estimates because the parameters used in
                   2230: calculating the residuals of the datapoints were obtained from the same data.
                   2231:
                   2232: To estimate confidence levels for the parameters, one can use the minimum
                   2233: chisquare obtained from the fit and chisquare statistics to determine the
                   2234: value of chisquare corresponding to the desired confidence level, but
                   2235: considerably more calculation is required to determine the combinations of
                   2236: parameters which produce such values.
                   2237:
                   2238: Rather than determine confidence intervals, `fit` reports parameter error
                   2239: estimates which are readily obtained from the variance-covariance matrix
                   2240: after the final iteration.  By convention, these estimates are called
                   2241: "standard errors" or "asymptotic standard errors", since they are calculated
                   2242: in the same way as the standard errors (standard deviation of each parameter)
                   2243: of a linear least-squares problem, even though the statistical conditions for
                   2244: designating the quantity calculated to be a standard deviation are not
                   2245: generally valid for the NLLS problem.  The asymptotic standard errors are
                   2246: generally over-optimistic and should not be used for determining confidence
                   2247: levels, but are useful for qualitative purposes.
                   2248:
                   2249: The final solution also produces a correlation matrix, which gives an
                   2250: indication of the correlation of parameters in the region of the solution;
                   2251: if one parameter is changed, increasing chisquare, does changing another
                   2252: compensate?  The main diagonal elements, autocorrelation, are all 1; if
                   2253: all parameters were independent, all other elements would be nearly 0.  Two
                   2254: variables which completely compensate each other would have an off-diagonal
                   2255: element of unit magnitude, with a sign depending on whether the relation is
                   2256: proportional or inversely proportional.  The smaller the magnitudes of the
                   2257: off-diagonal elements, the closer the estimates of the standard deviation
                   2258: of each parameter would be to the asymptotic standard error.
                   2259:
                   2260: @node practical_guidelines,  , statistical_overview, error_estimates
                   2261: @subsubsection practical guidelines
                   2262:
                   2263: @c ?commands fit error practical_guidelines
                   2264: @c ?fit error practical_guidelines
                   2265: @cindex practical_guidelines
                   2266:
                   2267: @cindex guidelines
                   2268:
                   2269: If you have a basis for assigning weights to each data point, doing so lets
                   2270: you make use of additional knowledge about your measurements, e.g., take into
                   2271: account that some points may be more reliable than others.  That may affect
                   2272: the final values of the parameters.
                   2273:
                   2274: Weighting the data provides a basis for interpreting the additional `fit`
                   2275: output after the last iteration.  Even if you weight each point equally,
                   2276: estimating an average standard deviation rather than using a weight of 1
                   2277: makes WSSR a dimensionless variable, as chisquare is by definition.
                   2278:
                   2279: Each fit iteration will display information which can be used to evaluate
                   2280: the progress of the fit.  (An '*' indicates that it did not find a smaller
                   2281: WSSR and is trying again.)  The 'sum of squares of residuals', also called
                   2282: 'chisquare', is the WSSR between the data and your fitted function; `fit`
                   2283: has minimized that.  At this stage, with weighted data, chisquare is expected
                   2284: to approach the number of degrees of freedom (data points minus parameters).
                   2285: The WSSR can be used to calculate the reduced chisquare (WSSR/ndf) or stdfit,
                   2286: the standard deviation of the fit, sqrt(WSSR/ndf).  Both of these are
                   2287: reported for the final WSSR.
                   2288:
                   2289: If the data are unweighted, stdfit is the rms value of the deviation of the
                   2290: data from the fitted function, in user units.
                   2291:
                   2292: If you supplied valid data errors, the number of data points is large enough,
                   2293: and the model is correct, the reduced chisquare should be about unity.  (For
                   2294: details, look up the 'chi-squared distribution' in your favourite statistics
                   2295: reference.)  If so, there are additional tests, beyond the scope of this
                   2296: overview, for determining how well the model fits the data.
                   2297:
                   2298: A reduced chisquare much larger than 1.0 may be due to incorrect data error
                   2299: estimates, data errors not normally distributed, systematic measurement
                   2300: errors, 'outliers', or an incorrect model function.  A plot of the residuals,
                   2301: e.g., `plot 'datafile' using 1:($2-f($1))`, may help to show any systematic
                   2302: trends.  Plotting both the data points and the function may help to suggest
                   2303: another model.
                   2304:
                   2305: Similarly, a reduced chisquare less than 1.0 indicates WSSR is less than that
                   2306: expected for a random sample from the function with normally distributed
                   2307: errors.  The data error estimates may be too large, the statistical
                   2308: assumptions may not be justified, or the model function may be too general,
                   2309: fitting fluctuations in a particular sample in addition to the underlying
                   2310: trends.  In the latter case, a simpler function may be more appropriate.
                   2311:
                   2312: You'll have to get used to both `fit` and the kind of problems you apply it
                   2313: to before you can relate the standard errors to some more practical estimates
                   2314: of parameter uncertainties or evaluate the significance of the correlation
                   2315: matrix.
                   2316:
                   2317: Note that `fit`, in common with most NLLS implementations, minimizes the
                   2318: weighted sum of squared distances (y-f(x))**2.  It does not provide any means
                   2319: to account for "errors" in the values of x, only in y.  Also, any "outliers"
                   2320: (data points outside the normal distribution of the model) will have an
                   2321: exaggerated effect on the solution.
                   2322:
                   2323: @node fit_controlling, multi-branch, error_estimates, fit
                   2324: @subsection fit controlling
                   2325:
                   2326: @c ?commands fit_control
                   2327: @cindex fit_control
                   2328:
                   2329: @c ?fit control
                   2330: There are a number of `gnuplot` variables that can be defined to affect
                   2331: `fit`.  Those which can be defined once `gnuplot` is running are listed
                   2332: under 'control_variables' while those defined before starting `gnuplot`
                   2333: are listed under 'environment_variables'.
                   2334:
                   2335: @menu
                   2336: * control_variables::
                   2337: * environment_variables::
                   2338: @end menu
                   2339:
                   2340: @node control_variables, environment_variables, fit_controlling, fit_controlling
                   2341: @subsubsection control variables
                   2342:
                   2343: @c ?commands fit_control variables
                   2344: @c ?fit_control variables
                   2345: @c ?fit control variables
                   2346: The default epsilon limit (1e-5) may be changed by declaring a value for
                   2347: @example
                   2348:       FIT_LIMIT
                   2349: @end example
                   2350:
                   2351: When the sum of squared residuals changes between two iteration steps by
                   2352: a factor less than this number (epsilon), the fit is considered to have
                   2353: 'converged'.
                   2354:
                   2355: The maximum number of iterations may be limited by declaring a value for
                   2356: @example
                   2357:       FIT_MAXITER
                   2358: @end example
                   2359:
                   2360: A value of 0 (or not defining it at all)  means that there is no limit.
                   2361:
                   2362: If you need even more control about the algorithm, and know the
                   2363: Marquardt-Levenberg algorithm well, there are some more variables to
                   2364: influence it. The startup value of `lambda` is normally calculated
                   2365: automatically from the ML-matrix, but if you want to, you may provide
                   2366: your own one with
                   2367: @example
                   2368:       FIT_START_LAMBDA
                   2369: @end example
                   2370:
                   2371: Specifying FIT_START_LAMBDA as zero or less will re-enable the automatic
                   2372: selection. The variable
                   2373: @example
                   2374:       FIT_LAMBDA_FACTOR
                   2375: @end example
                   2376:
                   2377: gives the factor by which `lambda` is increased or decreased whenever
                   2378: the chi-squared target function increased or decreased significantly.
                   2379: Setting FIT_LAMBDA_FACTOR to zero re-enables the default factor of
                   2380: 10.0.
                   2381:
                   2382: Oher variables with the FIT_ prefix may be added to `fit`, so it is safer
                   2383: not to use that prefix for user-defined variables.
                   2384:
                   2385: The variables FIT_SKIP and FIT_INDEX were used by earlier releases of
                   2386: `gnuplot` with a 'fit' patch called `gnufit` and are no longer available.
                   2387: The datafile @ref{every} modifier provides the functionality of FIT_SKIP.
                   2388: FIT_INDEX was used for multi-branch fitting, but multi-branch fitting of
                   2389: one independent variable is now done as a pseudo-3D fit in which the
                   2390: second independent variable and @ref{using} are used to specify the branch.
                   2391: See @ref{multi-branch}.
                   2392:
                   2393: @node environment_variables,  , control_variables, fit_controlling
                   2394: @subsubsection environment variables
                   2395:
                   2396: @c ?commands fit_control environment
                   2397: @c ?fit_control environment
                   2398: @c ?fit control environment
                   2399: The environment variables must be defined before `gnuplot` is executed; how
                   2400: to do so depends on your operating system.
                   2401:
                   2402: @example
                   2403:       FIT_LOG
                   2404: @end example
                   2405:
                   2406: changes the name (and/or path) of the file to which the fit log will be
                   2407: written from the default of "fit.log" in the working directory.
                   2408:
                   2409: @example
                   2410:       FIT_SCRIPT
                   2411: @end example
                   2412:
                   2413: specifies a command that may be executed after an user interrupt. The default
                   2414: is @ref{replot}, but a @ref{plot} or @ref{load} command may be useful to display a plot
                   2415: customized to highlight the progress of the fit.
                   2416:
                   2417: @node multi-branch, starting_values, fit_controlling, fit
                   2418: @subsection multi-branch
                   2419:
                   2420: @c ?commands fit multi-branch
                   2421: @c ?fit multi-branch
                   2422: @cindex multi-branch
                   2423:
                   2424: @cindex branch
                   2425:
                   2426: In multi-branch fitting, multiple data sets can be simultaneously fit with
                   2427: functions of one independent variable having common parameters by minimizing
                   2428: the total WSSR.  The function and parameters (branch) for each data set are
                   2429: selected by using a 'pseudo-variable', e.g., either the dataline number (a
                   2430: 'column' index of -1) or the datafile index (-2), as the second independent
                   2431: variable.
                   2432:
                   2433: Example:  Given two exponential decays of the form, z=f(x), each describing
                   2434: a different data set but having a common decay time, estimate the values of
                   2435: the parameters.  If the datafile has the format x:z:s, then
                   2436: @example
                   2437:      f(x,y) = (y==0) ? a*exp(-x/tau) : b*exp(-x/tau)
                   2438:      fit f(x,y) 'datafile' using  1:-1:2:3  via a, b, tau
                   2439:
                   2440: @end example
                   2441:
                   2442: For a more complicated example, see the file "hexa.fnc" used by the
                   2443: "fit.dem" demo.
                   2444:
                   2445: Appropriate weighting may be required since unit weights may cause one
                   2446: branch to predominate if there is a difference in the scale of the dependent
                   2447: variable.  Fitting each branch separately, using the multi-branch solution
                   2448: as initial values, may give an indication as to the relative effect of each
                   2449: branch on the joint solution.
                   2450:
                   2451: @node starting_values, tips, multi-branch, fit
                   2452: @subsection starting values
                   2453:
                   2454: @c ?commands fit starting_values
                   2455: @c ?fit starting_values
                   2456: @cindex starting_values
                   2457:
                   2458: Nonlinear fitting is not guaranteed to converge to the global optimum (the
                   2459: solution with the smallest sum of squared residuals, SSR), and can get stuck
                   2460: at a local minimum.  The routine has no way to determine that;  it is up to
                   2461: you to judge whether this has happened.
                   2462:
                   2463: `fit` may, and often will get "lost" if started far from a solution, where
                   2464: SSR is large and changing slowly as the parameters are varied, or it may
                   2465: reach a numerically unstable region (e.g., too large a number causing a
                   2466: floating point overflow) which results in an "undefined value" message
                   2467: or `gnuplot` halting.
                   2468:
                   2469: To improve the chances of finding the global optimum, you should set the
                   2470: starting values at least roughly in the vicinity of the solution, e.g.,
                   2471: within an order of magnitude, if possible.  The closer your starting values
                   2472: are to the solution, the less chance of stopping at another minimum.  One way
                   2473: to find starting values is to plot data and the fitting function on the same
                   2474: graph and change parameter values and @ref{replot} until reasonable similarity
                   2475: is reached.  The same plot is also useful to check whether the fit stopped at
                   2476: a minimum with a poor fit.
                   2477:
                   2478: Of course, a reasonably good fit is not proof there is not a "better" fit (in
                   2479: either a statistical sense, characterized by an improved goodness-of-fit
                   2480: criterion, or a physical sense, with a solution more consistent with the
                   2481: model.)  Depending on the problem, it may be desirable to `fit` with various
                   2482: sets of starting values, covering a reasonable range for each parameter.
                   2483:
                   2484: @node tips,  , starting_values, fit
                   2485: @subsection tips
                   2486:
                   2487: @c ?commands fit tips
                   2488: @c ?fit tips
                   2489: @cindex tips
                   2490:
                   2491: Here are some tips to keep in mind to get the most out of `fit`.  They're not
                   2492: very organized, so you'll have to read them several times until their essence
                   2493: has sunk in.
                   2494:
                   2495: The two forms of the `via` argument to `fit` serve two largely distinct
                   2496: purposes.  The `via "file"` form is best used for (possibly unattended) batch
                   2497: operation, where you just supply the startup values in a file and can later
                   2498: use @ref{update} to copy the results back into another (or the same) parameter
                   2499: file.
                   2500:
                   2501: The `via var1, var2, ...` form is best used interactively, where the command
                   2502: history mechanism may be used to edit the list of parameters to be fitted or
                   2503: to supply new startup values for the next try.  This is particularly useful
                   2504: for hard problems, where a direct fit to all parameters at once won't work
                   2505: without good starting values.  To find such, you can iterate several times,
                   2506: fitting only some of the parameters, until the values are close enough to the
                   2507: goal that the final fit to all parameters at once will work.
                   2508:
                   2509: Make sure that there is no mutual dependency among parameters of the function
                   2510: you are fitting.  For example, don't try to fit a*exp(x+b), because
                   2511: a*exp(x+b)=a*exp(b)*exp(x).  Instead, fit either a*exp(x) or exp(x+b).
                   2512:
                   2513: A technical issue:  the parameters must not be too different in magnitude.
                   2514: The larger the ratio of the largest and the smallest absolute parameter
                   2515: values, the slower the fit will converge.  If the ratio is close to or above
                   2516: the inverse of the machine floating point precision, it may take next to
                   2517: forever to converge, or refuse to converge at all.  You will have to adapt
                   2518: your function to avoid this, e.g., replace 'parameter' by '1e9*parameter' in
                   2519: the function definition, and divide the starting value by 1e9.
                   2520:
                   2521: If you can write your function as a linear combination of simple functions
                   2522: weighted by the parameters to be fitted, by all means do so.  That helps a
                   2523: lot, because the problem is no longer nonlinear and should converge with only
                   2524: a small number of iterations, perhaps just one.
                   2525:
                   2526: Some prescriptions for analysing data, given in practical experimentation
                   2527: courses, may have you first fit some functions to your data, perhaps in a
                   2528: multi-step process of accounting for several aspects of the underlying
                   2529: theory one by one, and then extract the information you really wanted from
                   2530: the fitting parameters of those functions.  With `fit`, this may often be
                   2531: done in one step by writing the model function directly in terms of the
                   2532: desired parameters.  Transforming data can also quite often be avoided,
                   2533: though sometimes at the cost of a more difficult fit problem.  If you think
                   2534: this contradicts the previous paragraph about simplifying the fit function,
                   2535: you are correct.
                   2536:
                   2537: A "singular matrix" message indicates that this implementation of the
                   2538: Marquardt-Levenberg algorithm can't calculate parameter values for the next
                   2539: iteration.  Try different starting values, writing the function in another
                   2540: form, or a simpler function.
                   2541:
                   2542: Finally, a nice quote from the manual of another fitting package (fudgit),
                   2543: that kind of summarizes all these issues:  "Nonlinear fitting is an art!"
                   2544:
                   2545: @node help, if, fit, Commands
                   2546: @section help
                   2547:
                   2548: @c ?commands help
                   2549: @cindex help
                   2550: @cmindex help
                   2551:
                   2552:
                   2553: The @ref{help} command displays on-line help. To specify information on a
                   2554: particular topic use the syntax:
                   2555:
                   2556: @example
                   2557:       help @{<topic>@}
                   2558:
                   2559: @end example
                   2560:
                   2561: If <topic> is not specified, a short message is printed about `gnuplot`.
                   2562: After help for the requested topic is given, a menu of subtopics is given;
                   2563: help for a subtopic may be requested by typing its name, extending the help
                   2564: request.  After that subtopic has been printed, the request may be extended
                   2565: again or you may go back one level to the previous topic.  Eventually, the
                   2566: `gnuplot` command line will return.
                   2567:
                   2568: If a question mark (?) is given as the topic, the list of topics currently
                   2569: available is printed on the screen.
                   2570:
                   2571: @node if, load, help, Commands
                   2572: @section if
                   2573:
                   2574: @c ?commands if
                   2575: @cindex if
                   2576: @cmindex if
                   2577:
                   2578:
                   2579: The @ref{if} command allows commands to be executed conditionally.
                   2580:
                   2581: Syntax:
                   2582: @example
                   2583:       if (<condition>) <command-line>
                   2584:
                   2585: @end example
                   2586:
                   2587: <condition> will be evaluated.  If it is true (non-zero), then the command(s)
                   2588: of the <command-line> will be executed.  If <condition> is false (zero), then
                   2589: the entire <command-line> is ignored.  Note that use of `;` to allow multiple
                   2590: commands on the same line will _not_ end the conditionalized commands.
                   2591:
                   2592: Examples:
                   2593: @example
                   2594:       pi=3
                   2595:       if (pi!=acos(-1)) print "?Fixing pi!"; pi=acos(-1); print pi
                   2596: @end example
                   2597:
                   2598: will display:
                   2599: @example
                   2600:       ?Fixing pi!
                   2601:       3.14159265358979
                   2602: @end example
                   2603:
                   2604: but
                   2605: @example
                   2606:       if (1==2) print "Never see this"; print "Or this either"
                   2607: @end example
                   2608:
                   2609: will not display anything.
                   2610:
                   2611: See @ref{reread} for an example of how @ref{if} and @ref{reread} can be used together to
                   2612: perform a loop.
                   2613:
                   2614: @node load, pause, if, Commands
                   2615: @section load
                   2616:
                   2617: @c ?commands load
                   2618: @cindex load
                   2619: @cmindex load
                   2620:
                   2621:
                   2622: The @ref{load} command executes each line of the specified input file as if it
                   2623: had been typed in interactively.  Files created by the @ref{save} command can
                   2624: later be @ref{load}ed.  Any text file containing valid commands can be created
                   2625: and then executed by the @ref{load} command.  Files being @ref{load}ed may themselves
                   2626: contain @ref{load} or @ref{call} commands.  See `comment` for information about
                   2627: comments in commands.  To @ref{load} with arguments, see @ref{call}.
                   2628:
                   2629: The @ref{load} command _must_ be the last command on a multi-command line.
                   2630:
                   2631: Syntax:
                   2632: @example
                   2633:       load "<input-file>"
                   2634:
                   2635: @end example
                   2636:
                   2637: The name of the input file must be enclosed in quotes.
                   2638:
                   2639: The special filename "-" may be used to @ref{load} commands from standard input.
                   2640: This allows a `gnuplot` command file to accept some commands from standard
                   2641: input.  Please see "help batch/interactive" for more details.
                   2642:
                   2643: Examples:
                   2644: @example
                   2645:       load 'work.gnu'
                   2646:       load "func.dat"
                   2647:
                   2648: @end example
                   2649:
                   2650: The @ref{load} command is performed implicitly on any file names given as
                   2651: arguments to `gnuplot`.  These are loaded in the order specified, and
                   2652: then `gnuplot` exits.
                   2653:
                   2654: @node pause, plot, load, Commands
                   2655: @section pause
                   2656:
                   2657: @c ?commands pause
                   2658: @cindex pause
                   2659: @cmindex pause
                   2660:
                   2661:
                   2662: The @ref{pause} command displays any text associated with the command and then
                   2663: waits a specified amount of time or until the carriage return is pressed.
                   2664: @ref{pause} is especially useful in conjunction with @ref{load} files.
                   2665:
                   2666: Syntax:
                   2667: @example
                   2668:       pause <time> @{"<string>"@}
                   2669:
                   2670: @end example
                   2671:
                   2672: <time> may be any integer constant or expression.  Choosing -1 will wait
                   2673: until a carriage return is hit, zero (0) won't pause at all, and a positive
                   2674: integer will wait the specified number of seconds.  `pause 0` is synonymous
                   2675: with @ref{print}.
                   2676:
                   2677: Note: Since @ref{pause} communicates with the operating system rather than the
                   2678: graphics, it may behave differently with different device drivers (depending
                   2679: upon how text and graphics are mixed).
                   2680:
                   2681: Examples:
                   2682: @example
                   2683:       pause -1    # Wait until a carriage return is hit
                   2684:       pause 3     # Wait three seconds
                   2685:       pause -1  "Hit return to continue"
                   2686:       pause 10  "Isn't this pretty?  It's a cubic spline."
                   2687:
                   2688: @end example
                   2689:
                   2690:
                   2691: @node plot, print, pause, Commands
                   2692: @section plot
                   2693:
                   2694: @c ?commands plot
                   2695: @cindex plot
                   2696: @cmindex plot
                   2697:
                   2698:
                   2699: @ref{plot} is the primary command for drawing plots with `gnuplot`.  It creates
                   2700: plots of functions and data in many, many ways.  @ref{plot} is used to draw 2-d
                   2701: functions and data; `splot` draws 2-d projections of 3-d surfaces and data.
                   2702: @ref{plot} and `splot` contain many common features; see `splot` for differences.
                   2703: Note specifically that `splot`'s @ref{binary} and @ref{matrix} options do not exist
                   2704: for @ref{plot}.
                   2705:
                   2706: Syntax:
                   2707: @example
                   2708:       plot @{<ranges>@}
                   2709:            @{<function> | @{"<datafile>" @{datafile-modifiers@}@}@}
                   2710:            @{axes <axes>@} @{<title-spec>@} @{with <style>@}
                   2711:            @{, @{definitions,@} <function> ...@}
                   2712:
                   2713: @end example
                   2714:
                   2715: where either a <function> or the name of a data file enclosed in quotes is
                   2716: supplied.  A function is a mathematical expression or a pair of mathematical
                   2717: expressions in parametric mode.  The expressions may be defined completely or
                   2718: in part earlier in the stream of `gnuplot` commands (see `user-defined`).
                   2719:
                   2720: It is also possible to define functions and parameters on the @ref{plot} command
                   2721: itself.  This is done merely by isolating them from other items with commas.
                   2722:
                   2723: There are four possible sets of axes available; the keyword <axes> is used to
                   2724: select the axes for which a particular line should be scaled.  `x1y1` refers
                   2725: to the axes on the bottom and left; `x2y2` to those on the top and right;
                   2726: `x1y2` to those on the bottom and right; and `x2y1` to those on the top and
                   2727: left.  Ranges specified on the @ref{plot} command apply only to the first set of
                   2728: axes (bottom left).
                   2729:
                   2730: Examples:
                   2731: @example
                   2732:       plot sin(x)
                   2733:       plot f(x) = sin(x*a), a = .2, f(x), a = .4, f(x)
                   2734:       plot [t=1:10] [-pi:pi*2] tan(t), \
                   2735:            "data.1" using (tan($2)):($3/$4) smooth csplines \
                   2736:                     axes x1y2 notitle with lines 5
                   2737:
                   2738: @end example
                   2739:
                   2740:
                   2741: @menu
                   2742: * data-file::
                   2743: * errorbars::
                   2744: * parametric::
                   2745: * ranges::
                   2746: * title::
                   2747: * with::
                   2748: @end menu
                   2749:
                   2750: @node data-file, errorbars, plot, plot
                   2751: @subsection data-file
                   2752:
                   2753: @c ?commands plot datafile
                   2754: @c ?plot datafile
                   2755: @cindex data-file
                   2756:
                   2757: @cindex datafile
                   2758:
                   2759: @cindex data
                   2760:
                   2761: Discrete data contained in a file can be displayed by specifying the name of
                   2762: the data file (enclosed in single or double quotes) on the @ref{plot} command line.
                   2763:
                   2764: Syntax:
                   2765: @example
                   2766:       plot '<file_name>' @{index <index list>@}
                   2767:                             @{every <every list>@}
                   2768:                             @{thru <thru expression>@}
                   2769:                             @{using <using list>@}
                   2770:                             @{smooth <option>@}
                   2771:
                   2772: @end example
                   2773:
                   2774: The modifiers @ref{index}, @ref{every}, @ref{thru}, @ref{using}, and @ref{smooth} are discussed
                   2775: separately.  In brief, @ref{index} selects which data sets in a multi-data-set
                   2776: file are to be plotted, @ref{every} specifies which points within a single data
                   2777: set are to be plotted, @ref{using} determines how the columns within a single
                   2778: record are to be interpreted (@ref{thru} is a special case of @ref{using}), and
                   2779: @ref{smooth} allows for simple interpolation and approximation.  ('splot' has a
                   2780: similar syntax, but does not support the @ref{smooth} and @ref{thru} options.)
                   2781:
                   2782: Data files should contain at least one data point per record (@ref{using} can
                   2783: select one data point from the record).  Records beginning with `#` (and
                   2784: also with `!` on VMS) will be treated as comments and ignored.  Each data
                   2785: point represents an (x,y) pair.  For @ref{plot}s with error bars (see @ref{errorbars}), each data point is (x,y,ydelta), (x,y,ylow,yhigh), (x,y,xdelta),
                   2786: (x,y,xlow,xhigh), or (x,y,xlow,xhigh,ylow,yhigh).  In all cases, the numbers
                   2787: on each record of a data file must be separated by white space (one or more
                   2788: blanks or tabs), unless a format specifier is provided by the @ref{using} option.
                   2789: This white space divides each record into columns.
                   2790:
                   2791: Data may be written in exponential format with the exponent preceded by the
                   2792: letter e, E, d, D, q, or Q.
                   2793:
                   2794: Only one column (the y value) need be provided.  If x is omitted, `gnuplot`
                   2795: provides integer values starting at 0.
                   2796:
                   2797: In datafiles, blank records (records with no characters other than blanks and
                   2798: a newline and/or carriage return) are significant---pairs of blank records
                   2799: separate @ref{index}es (see @ref{index}).  Data separated by double
                   2800: blank records are treated as if they were in separate data files.
                   2801:
                   2802: Single blank records designate discontinuities in a @ref{plot}; no line will join
                   2803: points separated by a blank records (if they are plotted with a line style).
                   2804:
                   2805: If autoscaling has been enabled (@ref{autoscale}), the axes are automatically
                   2806: extended to include all datapoints, with a whole number of tic marks if tics
                   2807: are being drawn.  This has two consequences: i) For `splot`, the corner of
                   2808: the surface may not coincide with the corner of the base.  In this case, no
                   2809: vertical line is drawn.  ii) When plotting data with the same x range on a
                   2810: dual-axis graph, the x coordinates may not coincide if the x2tics are not
                   2811: being drawn.  This is because the x axis has been autoextended to a whole
                   2812: number of tics, but the x2 axis has not.  The following example illustrates
                   2813: the problem:
                   2814:
                   2815: @example
                   2816:       reset; plot '-', '-'
                   2817:       1 1
                   2818:       19 19
                   2819:       e
                   2820:       1 1
                   2821:       19 19
                   2822:       e
                   2823:
                   2824: @end example
                   2825:
                   2826: @menu
                   2827: * every::
                   2828: * example_datafile::
                   2829: * index::
                   2830: * smooth::
                   2831: * special-filenames::
                   2832: * thru::
                   2833: * using::
                   2834: @end menu
                   2835:
                   2836: @node every, example_datafile, data-file, data-file
                   2837: @subsubsection every
                   2838:
                   2839: @c ?commands plot datafile every
                   2840: @c ?plot datafile every
                   2841: @c ?plot every
                   2842: @c ?data-file every
                   2843: @c ?datafile every
                   2844: @cindex every
                   2845:
                   2846: The @ref{every} keyword allows a periodic sampling of a data set to be plotted.
                   2847:
                   2848: In the discussion a "point" is a datum defined by a single record in the
                   2849: file; "block" here will mean the same thing as "datablock" (see `glossary`).
                   2850:
                   2851: Syntax:
                   2852: @example
                   2853:       plot 'file' every @{<point_incr>@}
                   2854:                           @{:@{<block_incr>@}
                   2855:                             @{:@{<start_point>@}
                   2856:                               @{:@{<start_block>@}
                   2857:                                 @{:@{<end_point>@}
                   2858:                                   @{:<end_block>@}@}@}@}@}
                   2859:
                   2860: @end example
                   2861:
                   2862: The data points to be plotted are selected according to a loop from
                   2863: <`start_point`> to <`end_point`> with increment <`point_incr`> and the
                   2864: blocks according to a loop from <`start_block`> to <`end_block`> with
                   2865: increment <`block_incr`>.
                   2866:
                   2867: The first datum in each block is numbered '0', as is the first block in the
                   2868: file.
                   2869:
                   2870: Note that records containing unplottable information are counted.
                   2871:
                   2872: Any of the numbers can be omitted; the increments default to unity, the start
                   2873: values to the first point or block, and the end values to the last point or
                   2874: block.  If @ref{every} is not specified, all points in all lines are plotted.
                   2875:
                   2876: Examples:
                   2877: @example
                   2878:       every :::3::3    # selects just the fourth block ('0' is first)
                   2879:       every :::::9     # selects the first 10 blocks
                   2880:       every 2:2        # selects every other point in every other block
                   2881:       every ::5::15    # selects points 5 through 15 in each block
                   2882: @end example
                   2883:
                   2884: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/simple.html,Simple Plot Demos },
                   2885: @uref{http://www.nas.nasa.gov/~woo/gnuplot/surfacea/surfacea.html,Non-parametric splot demos }, and
                   2886: @uref{http://www.nas.nasa.gov/~woo/gnuplot/surfaceb/surfaceb.html,Parametric splot demos.}
                   2887:
                   2888: @node example_datafile, index, every, data-file
                   2889: @subsubsection example datafile
                   2890:
                   2891: @c ?commands plot datafile example
                   2892: @c ?plot datafile example
                   2893: @c ?plot example
                   2894: @c ?datafile example
                   2895: @c ?data-file example
                   2896: @cindex example
                   2897:
                   2898: This example plots the data in the file "population.dat" and a theoretical
                   2899: curve:
                   2900:
                   2901: @example
                   2902:       pop(x) = 103*exp((1965-x)/10)
                   2903:       plot [1960:1990] 'population.dat', pop(x)
                   2904:
                   2905: @end example
                   2906:
                   2907: The file "population.dat" might contain:
                   2908:
                   2909: @example
                   2910:       # Gnu population in Antarctica since 1965
                   2911:          1965   103
                   2912:          1970   55
                   2913:          1975   34
                   2914:          1980   24
                   2915:          1985   10
                   2916:
                   2917: @end example
                   2918:
                   2919: @c ^ <img align=bottom src="http://www.nas.nasa.gov/~woo/gnuplot/doc/population.gif" alt="[population.gif]" width=640 height=480>
                   2920:
                   2921: @node index, smooth, example_datafile, data-file
                   2922: @subsubsection index
                   2923:
                   2924: @c ?commands plot datafile index
                   2925: @c ?plot datafile index
                   2926: @c ?plot index
                   2927: @c ?data-file index
                   2928: @c ?datafile index
                   2929: @cindex index
                   2930:
                   2931: The @ref{index} keyword allows only some of the data sets in a multi-data-set
                   2932: file to be plotted.
                   2933:
                   2934: Syntax:
                   2935: @example
                   2936:       plot 'file' index <m>@{@{:<n>@}:<p>@}
                   2937:
                   2938: @end example
                   2939:
                   2940: Data sets are separated by pairs of blank records.  `index <m>` selects only
                   2941: set <m>; `index <m>:<n>` selects sets in the range <m> to <n>; and `index
                   2942: <m>:<n>:<p>` selects indices <m>, <m>+<p>, <m>+2<p>, etc., but stopping at
                   2943: <n>.  Following C indexing, the index 0 is assigned to the first data set in
                   2944: the file.  Specifying too large an index results in an error message.  If
                   2945: @ref{index} is not specified, all sets are plotted as a single data set.
                   2946:
                   2947: Example:
                   2948: @example
                   2949:       plot 'file' index 4:5
                   2950: @end example
                   2951:
                   2952: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/multimsh.html,splot with indices demo. }
                   2953:
                   2954: @node smooth, special-filenames, index, data-file
                   2955: @subsubsection smooth
                   2956:
                   2957: @c ?commands plot datafile smooth
                   2958: @c ?plot datafile smooth
                   2959: @c ?plot smooth
                   2960: @c ?data-file smooth
                   2961: @c ?datafile smooth
                   2962: @cindex smooth
                   2963:
                   2964: `gnuplot` includes a few general-purpose routines for interpolation and
                   2965: approximation of data; these are grouped under the @ref{smooth} option.  More
                   2966: sophisticated data processing may be performed by preprocessing the data
                   2967: externally or by using `fit` with an appropriate model.
                   2968:
                   2969: Syntax:
                   2970: @example
                   2971:       smooth @{unique | csplines | acsplines | bezier | sbezier@}
                   2972:
                   2973: @end example
                   2974:
                   2975: `unique` plots the data after making them monotonic.  Each of the other
                   2976: routines uses the data to determine the coefficients of a continuous curve
                   2977: between the endpoints of the data.  This curve is then plotted in the same
                   2978: manner as a function, that is, by finding its value at uniform intervals
                   2979: along the abscissa (see @ref{samples}) and connecting these points with
                   2980: straight line segments (if a line style is chosen).
                   2981:
                   2982: If @ref{autoscale} is in effect, the ranges will be computed such that the
                   2983: plotted curve lies within the borders of the graph.
                   2984:
                   2985: If too few points are available to allow the selected option to be applied,
                   2986: an error message is produced.  The minimum number is one for `unique`, four
                   2987: for `acsplines`, and three for the others.
                   2988:
                   2989: The @ref{smooth} options have no effect on function plots.
                   2990:
                   2991:
                   2992: @noindent --- ACSPLINES ---
                   2993:
                   2994: @c ?commands plot datafile smooth acsplines
                   2995: @c ?plot datafile smooth acsplines
                   2996: @c ?data-file smooth acsplines
                   2997: @c ?datafile smooth acsplines
                   2998: @c ?plot smooth acsplines
                   2999: @c ?plot acsplines
                   3000: @c ?smooth acsplines
                   3001: @cindex acsplines
                   3002:
                   3003: The `acsplines` option approximates the data with a "natural smoothing spline".
                   3004: After the data are made monotonic in x (see `smooth unique`), a curve is
                   3005: piecewise constructed from segments of cubic polynomials whose coefficients
                   3006: are found by the weighting the data points; the weights are taken from the
                   3007: third column in the data file.  That default can be modified by the third
                   3008: entry in the @ref{using} list, e.g.,
                   3009: @example
                   3010:       plot 'data-file' using 1:2:(1.0) smooth acsplines
                   3011:
                   3012: @end example
                   3013:
                   3014: Qualitatively, the absolute magnitude of the weights determines the number
                   3015: of segments used to construct the curve.  If the weights are large, the
                   3016: effect of each datum is large and the curve approaches that produced by
                   3017: connecting consecutive points with natural cubic splines.  If the weights are
                   3018: small, the curve is composed of fewer segments and thus is smoother; the
                   3019: limiting case is the single segment produced by a weighted linear least
                   3020: squares fit to all the data.  The smoothing weight can be expressed in terms
                   3021: of errors as a statistical weight for a point divided by a "smoothing factor"
                   3022: for the curve so that (standard) errors in the file can be used as smoothing
                   3023: weights.
                   3024:
                   3025: Example:
                   3026: @example
                   3027:       sw(x,S)=1/(x*x*S)
                   3028:       plot 'data_file' using 1:2:(sw($3,100)) smooth acsplines
                   3029:
                   3030: @end example
                   3031:
                   3032:
                   3033: @noindent --- BEZIER ---
                   3034:
                   3035: @c ?commands plot datafile smooth bezier
                   3036: @c ?plot datafile smooth bezier
                   3037: @c ?plot smooth bezier
                   3038: @c ?data-file smooth bezier
                   3039: @c ?datafile smooth bezier
                   3040: @c ?plot bezier
                   3041: @c ?smooth bezier
                   3042: @cindex bezier
                   3043:
                   3044: The `bezier` option approximates the data with a Bezier curve of degree n
                   3045: (the number of data points) that connects the endpoints.
                   3046:
                   3047:
                   3048: @noindent --- CSPLINES ---
                   3049:
                   3050: @c ?commands plot datafile smooth csplines
                   3051: @c ?plot datafile smooth csplines
                   3052: @c ?plot smooth csplines
                   3053: @c ?data-file smooth csplines
                   3054: @c ?datafile smooth csplines
                   3055: @c ?plot csplines
                   3056: @c ?smooth csplines
                   3057: @cindex csplines
                   3058:
                   3059: The `csplines` option connects consecutive points by natural cubic splines
                   3060: after rendering the data monotonic (see `smooth unique`).
                   3061:
                   3062:
                   3063: @noindent --- SBEZIER ---
                   3064:
                   3065: @c ?commands plot datafile smooth sbezier
                   3066: @c ?plot datafile smooth sbezier
                   3067: @c ?plot smooth sbezier
                   3068: @c ?data-file smooth sbezier
                   3069: @c ?datafile smooth sbezier
                   3070: @c ?plot sbezier
                   3071: @c ?smooth sbezier
                   3072: @cindex sbezier
                   3073:
                   3074: The `sbezier` option first renders the data monotonic (`unique`) and then
                   3075: applies the `bezier` algorithm.
                   3076:
                   3077:
                   3078: @noindent --- UNIQUE ---
                   3079:
                   3080: @c ?commands plot datafile smooth unique
                   3081: @c ?plot datafile smooth unique
                   3082: @c ?plot smooth unique
                   3083: @c ?data-file smooth unique
                   3084: @c ?datafile smooth unique
                   3085: @c ?plot unique
                   3086: @c ?smooth unique
                   3087: @cindex unique
                   3088:
                   3089: The `unique` option makes the data monotonic in x; points with the same
                   3090: x-value are replaced by a single point having the average y-value.  The
                   3091: resulting points are then connected by straight line segments.
                   3092: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/mgr.html,See demos. }
                   3093:
                   3094: @node special-filenames, thru, smooth, data-file
                   3095: @subsubsection special-filenames
                   3096:
                   3097: @c ?commands plot datafile special-filenames
                   3098: @c ?plot datafile special-filenames
                   3099: @c ?plot special-filenames
                   3100: @c ?datafile special-filenames
                   3101: @cindex special-filenames
                   3102:
                   3103: A special filename of `'-'` specifies that the data are inline; i.e., they
                   3104: follow the command.  Only the data follow the command; @ref{plot} options like
                   3105: filters, titles, and line styles remain on the 'plot' command line.  This is
                   3106: similar to << in unix shell script, and $DECK in VMS DCL.  The data are
                   3107: entered as though they are being read from a file, one data point per record.
                   3108: The letter "e" at the start of the first column terminates data entry.  The
                   3109: @ref{using} option can be applied to these data---using it to filter them through
                   3110: a function might make sense, but selecting columns probably doesn't!
                   3111:
                   3112: `'-'` is intended for situations where it is useful to have data and commands
                   3113: together, e.g., when `gnuplot` is run as a sub-process of some front-end
                   3114: application.  Some of the demos, for example, might use this feature.  While
                   3115: @ref{plot} options such as @ref{index} and @ref{every} are recognized, their use forces
                   3116: you to enter data that won't be used.  For example, while
                   3117:
                   3118: @example
                   3119:       plot '-' index 0, '-' index 1
                   3120:       2
                   3121:       4
                   3122:       6
                   3123:
                   3124: @end example
                   3125:
                   3126:
                   3127: @example
                   3128:       10
                   3129:       12
                   3130:       14
                   3131:       e
                   3132:       2
                   3133:       4
                   3134:       6
                   3135:
                   3136: @end example
                   3137:
                   3138:
                   3139: @example
                   3140:       10
                   3141:       12
                   3142:       14
                   3143:       e
                   3144:
                   3145: @end example
                   3146:
                   3147: does indeed work,
                   3148:
                   3149: @example
                   3150:       plot '-', '-'
                   3151:       2
                   3152:       4
                   3153:       6
                   3154:       e
                   3155:       10
                   3156:       12
                   3157:       14
                   3158:       e
                   3159:
                   3160: @end example
                   3161:
                   3162: is a lot easier to type.
                   3163:
                   3164: If you use `'-'` with @ref{replot}, you may need to enter the data more than once
                   3165: (see @ref{replot}).
                   3166:
                   3167: A blank filename ('') specifies that the previous filename should be reused.
                   3168: This can be useful with things like
                   3169:
                   3170: @example
                   3171:       plot 'a/very/long/filename' using 1:2, '' using 1:3, '' using 1:4
                   3172:
                   3173: @end example
                   3174:
                   3175: (If you use both `'-'` and `''` on the same @ref{plot} command, you'll need to
                   3176: have two sets of inline data, as in the example above.)
                   3177:
                   3178: On some computer systems with a popen function (Unix), the datafile can be
                   3179: piped through a shell command by starting the file name with a '<'.  For
                   3180: example,
                   3181:
                   3182: @example
                   3183:       pop(x) = 103*exp(-x/10)
                   3184:       plot "< awk '@{print $1-1965, $2@}' population.dat", pop(x)
                   3185:
                   3186: @end example
                   3187:
                   3188: would plot the same information as the first population example but with
                   3189: years since 1965 as the x axis.  If you want to execute this example, you
                   3190: have to delete all comments from the data file above or substitute the
                   3191: following command for the first part of the command above (the part up to
                   3192: the comma):
                   3193:
                   3194: @example
                   3195:       plot "< awk '$0 !~ /^#/ @{print $1-1965, $2@}' population.dat"
                   3196:
                   3197: @end example
                   3198:
                   3199: While this approach is most flexible, it is possible to achieve simple
                   3200: filtering with the @ref{using} or @ref{thru} keywords.
                   3201:
                   3202: @node thru, using, special-filenames, data-file
                   3203: @subsubsection thru
                   3204:
                   3205: @c ?commands plot datafile thru
                   3206: @c ?plot datafile thru
                   3207: @c ?plot thru
                   3208: @c ?data-file thru
                   3209: @c ?datafile thru
                   3210: @cindex thru
                   3211:
                   3212: The @ref{thru} function is provided for backward compatibility.
                   3213:
                   3214: Syntax:
                   3215: @example
                   3216:       plot 'file' thru f(x)
                   3217:
                   3218: @end example
                   3219:
                   3220: It is equivalent to:
                   3221:
                   3222: @example
                   3223:       plot 'file' using 1:(f($2))
                   3224:
                   3225: @end example
                   3226:
                   3227: While the latter appears more complex, it is much more flexible.  The more
                   3228: natural
                   3229:
                   3230: @example
                   3231:       plot 'file' thru f(y)
                   3232:
                   3233: @end example
                   3234:
                   3235: also works (i.e. you can use y as the dummy variable).
                   3236:
                   3237: @ref{thru} is parsed for `splot` and `fit` but has no effect.
                   3238:
                   3239: @node using,  , thru, data-file
                   3240: @subsubsection using
                   3241:
                   3242: @c ?commands plot datafile using
                   3243: @c ?plot datafile using
                   3244: @c ?plot using
                   3245: @c ?data-file using
                   3246: @c ?datafile using
                   3247: @cindex using
                   3248:
                   3249: The most common datafile modifier is @ref{using}.
                   3250:
                   3251: Syntax:
                   3252: @example
                   3253:       plot 'file' using @{<entry> @{:<entry> @{:<entry> ...@}@}@} @{'format'@}
                   3254:
                   3255: @end example
                   3256:
                   3257: If a format is specified, each datafile record is read using the C library's
                   3258: 'scanf' function, with the specified format string.  Otherwise the record is
                   3259: read and broken into columns at spaces or tabs.  A format cannot be specified
                   3260: if time-format data is being used (this must be done by `set data time`).
                   3261:
                   3262: The resulting array of data is then sorted into columns according to the
                   3263: entries.  Each <entry> may be a simple column number, which selects the
                   3264: datum, an expression enclosed in parentheses, or empty.  The expression can
                   3265: use $1 to access the first item read, $2 for the second item, and so on.  It
                   3266: can also use `column(x)` and `valid(x)` where x is an arbitrary expression
                   3267: resulting in an integer.  `column(x)` returns the x'th datum; `valid(x)`
                   3268: tests that the datum in the x'th column is a valid number.  A column number
                   3269: of 0 generates a number increasing (from zero) with each point, and is reset
                   3270: upon encountering two blank records.  A column number of -1 gives the
                   3271: dataline number, which starts at 0, increments at single blank records, and
                   3272: is reset at double blank records.  A column number of -2 gives the index
                   3273: number, which is incremented only when two blank records are found.  An empty
                   3274: <entry> will default to its order in the list of entries.  For example,
                   3275: `using ::4` is interpreted as `using 1:2:4`.
                   3276:
                   3277: N.B.---the @ref{call} command also uses $'s as a special character.  See @ref{call}
                   3278: for details about how to include a column number in a @ref{call} argument list.
                   3279:
                   3280: If the @ref{using} list has but a single entry, that <entry> will be used for y
                   3281: and the data point number is used for x; for example, "`plot 'file' using 1`"
                   3282: is identical to "`plot 'file' using 0:1`".  If the @ref{using} list has two
                   3283: entries, these will be used for x and y.  Additional entries are usually
                   3284: errors in x and/or y.  See @ref{style} for details about plotting styles that
                   3285: make use of error information, and `fit` for use of error information in
                   3286: curve fitting.
                   3287:
                   3288: 'scanf' accepts several numerical specifications but `gnuplot` requires all
                   3289: inputs to be double-precision floating-point variables, so `lf` is the only
                   3290: permissible specifier.  'scanf' expects to see white space---a blank, tab
                   3291: ("\t"), newline ("\n"), or formfeed ("\f")---between numbers; anything else
                   3292: in the input stream must be explicitly skipped.
                   3293:
                   3294: Note that the use of "\t", "\n", or "\f" or requires use of double-quotes
                   3295: rather than single-quotes.
                   3296:
                   3297: Examples:
                   3298:
                   3299: This creates a plot of the sum of the 2nd and 3rd data against the first:
                   3300: (The format string specifies comma- rather than space-separated columns.)
                   3301: @example
                   3302:       plot 'file' using 1:($2+$3) '%lf,%lf,%lf'
                   3303:
                   3304: @end example
                   3305:
                   3306: In this example the data are read from the file "MyData" using a more
                   3307: complicated format:
                   3308: @example
                   3309:       plot 'MyData' using "%*lf%lf%*20[^\n]%lf"
                   3310:
                   3311: @end example
                   3312:
                   3313: The meaning of this format is:
                   3314:
                   3315: @example
                   3316:       %*lf        ignore a number
                   3317:       %lf         read a double-precision number (x by default)
                   3318:       %*20[^\n]   ignore 20 non-newline characters
                   3319:       %lf         read a double-precision number (y by default)
                   3320:
                   3321: @end example
                   3322:
                   3323: One trick is to use the ternary `?:` operator to filter data:
                   3324:
                   3325: @example
                   3326:       plot 'file' using 1:($3>10 ? $2 : 1/0)
                   3327:
                   3328: @end example
                   3329:
                   3330: which plots the datum in column two against that in column one provided
                   3331: the datum in column three exceeds ten.  `1/0` is undefined; `gnuplot`
                   3332: quietly ignores undefined points, so unsuitable points are suppressed.
                   3333:
                   3334: In fact, you can use a constant expression for the column number, provided it
                   3335: doesn't start with an opening parenthesis; constructs like `using
                   3336: 0+(complicated expression)` can be used.  The crucial point is that the
                   3337: expression is evaluated once if it doesn't start with a left parenthesis, or
                   3338: once for each data point read if it does.
                   3339:
                   3340: If timeseries data are being used, the time can span multiple columns.  The
                   3341: starting column should be specified.  Note that the spaces within the time
                   3342: must be included when calculating starting columns for other data.  E.g., if
                   3343: the first element on a line is a time with an embedded space, the y value
                   3344: should be specified as column three.
                   3345:
                   3346: It should be noted that `plot 'file'`, `plot 'file' using 1:2`, and `plot
                   3347: 'file' using ($1):($2)` can be subtly different: 1) if `file` has some lines
                   3348: with one column and some with two, the first will invent x values when they
                   3349: are missing, the second will quietly ignore the lines with one column, and
                   3350: the third will store an undefined value for lines with one point (so that in
                   3351: a plot with lines, no line joins points across the bad point); 2) if a line
                   3352: contains text at the first column, the first will abort the plot on an error,
                   3353: but the second and third should quietly skip the garbage.
                   3354:
                   3355: In fact, it is often possible to plot a file with lots of lines of garbage at
                   3356: the top simply by specifying
                   3357:
                   3358: @example
                   3359:       plot 'file' using 1:2
                   3360:
                   3361: @end example
                   3362:
                   3363: However, if you want to leave text in your data files, it is safer to put the
                   3364: comment character (#) in the first column of the text lines.
                   3365: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/using.html,Feeble using demos. }
                   3366:
                   3367: @node errorbars, parametric, data-file, plot
                   3368: @subsection errorbars
                   3369:
                   3370: @c ?commands plot errorbars
                   3371: @c ?commands splot errorbars
                   3372: @c ?plot errorbars
                   3373: @c ?splot errorbars
                   3374: @cindex errorbars
                   3375:
                   3376: Error bars are supported for 2-d data file plots by reading one to four
                   3377: additional columns (or @ref{using} entries); these additional values are used in
                   3378: different ways by the various errorbar styles.
                   3379:
                   3380: In the default situation, `gnuplot` expects to see three, four, or six
                   3381: numbers on each line of the data file---either
                   3382:
                   3383: @example
                   3384:       (x, y, ydelta),
                   3385:       (x, y, ylow, yhigh),
                   3386:       (x, y, xdelta),
                   3387:       (x, y, xlow, xhigh),
                   3388:       (x, y, xdelta, ydelta), or
                   3389:       (x, y, xlow, xhigh, ylow, yhigh).
                   3390:
                   3391: @end example
                   3392:
                   3393: The x coordinate must be specified.  The order of the numbers must be
                   3394: exactly as given above, though the @ref{using} qualifier can manipulate the order
                   3395: and provide values for missing columns.  For example,
                   3396:
                   3397: @example
                   3398:       plot 'file' with errorbars
                   3399:       plot 'file' using 1:2:(sqrt($1)) with xerrorbars
                   3400:       plot 'file' using 1:2:($1-$3):($1+$3):4:5 with xyerrorbars
                   3401:
                   3402: @end example
                   3403:
                   3404: The last example is for a file containing an unsupported combination of
                   3405: relative x and absolute y errors.  The @ref{using} entry generates absolute x min
                   3406: and max from the relative error.
                   3407:
                   3408: The y error bar is a vertical line plotted from (x, ylow) to (x, yhigh).
                   3409: If ydelta is specified instead of ylow and yhigh, ylow = y - ydelta and
                   3410: yhigh = y + ydelta are derived.  If there are only two numbers on the record,
                   3411: yhigh and ylow are both set to y.  The x error bar is a horizontal line
                   3412: computed in the same fashion.  To get lines plotted between the data points,
                   3413: @ref{plot} the data file twice, once with errorbars and once with lines (but
                   3414: remember to use the `notitle` option on one to avoid two entries in the key).
                   3415:
                   3416: The error bars have crossbars at each end unless @ref{bar} is used (see @ref{bar} for details).
                   3417:
                   3418: If autoscaling is on, the ranges will be adjusted to include the error bars.
                   3419: @uref{http://www.nas.nasa.gov/~woo/gnuplot/errorbar/errorbar.html,Errorbar demos. }
                   3420:
                   3421: See @ref{using}, @ref{with}, and @ref{style} for more information.
                   3422:
                   3423: @node parametric, ranges, errorbars, plot
                   3424: @subsection parametric
                   3425:
                   3426: @c ?commands plot parametric
                   3427: @c ?commands splot parametric
                   3428: @c ?plot parametric
                   3429: @c ?splot parametric
                   3430: @cindex parametric
                   3431: @opindex parametric
                   3432:
                   3433:
                   3434: When in parametric mode (`set parametric`) mathematical expressions must be
                   3435: given in pairs for @ref{plot} and in triplets for `splot`.
                   3436:
                   3437: Examples:
                   3438: @example
                   3439:       plot sin(t),t**2
                   3440:       splot cos(u)*cos(v),cos(u)*sin(v),sin(u)
                   3441:
                   3442: @end example
                   3443:
                   3444: Data files are plotted as before, except any preceding parametric function
                   3445: must be fully specified before a data file is given as a plot.  In other
                   3446: words, the x parametric function (`sin(t)` above) and the y parametric
                   3447: function (`t**2` above) must not be interrupted with any modifiers or data
                   3448: functions; doing so will generate a syntax error stating that the parametric
                   3449: function is not fully specified.
                   3450:
                   3451: Other modifiers, such as @ref{with} and `title`, may be specified only after the
                   3452: parametric function has been completed:
                   3453:
                   3454: @example
                   3455:       plot sin(t),t**2 title 'Parametric example' with linespoints
                   3456: @end example
                   3457:
                   3458: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/param.html,Parametric Mode Demos. }
                   3459:
                   3460: @node ranges, title, parametric, plot
                   3461: @subsection ranges
                   3462:
                   3463: @c ?commands plot ranges
                   3464: @c ?commands splot ranges
                   3465: @c ?plot ranges
                   3466: @c ?splot ranges
                   3467: @cindex ranges
                   3468:
                   3469: The optional ranges specify the region of the graph that will be displayed.
                   3470:
                   3471: Syntax:
                   3472: @example
                   3473:       [@{<dummy-var>=@}@{@{<min>@}:@{<max>@}@}]
                   3474:       [@{@{<min>@}:@{<max>@}@}]
                   3475:
                   3476: @end example
                   3477:
                   3478: The first form applies to the independent variable (@ref{xrange} or @ref{trange}, if
                   3479: in parametric mode).  The second form applies to the dependent variable
                   3480: @ref{yrange} (and @ref{xrange}, too, if in parametric mode).  <dummy-var> is a new
                   3481: name for the independent variable.  (The defaults may be changed with @ref{dummy}.)  The optional <min> and <max> terms can be constant expressions or *.
                   3482:
                   3483: In non-parametric mode, the order in which ranges must be given is @ref{xrange}
                   3484: and @ref{yrange}.
                   3485:
                   3486: In parametric mode, the order for the @ref{plot} command is @ref{trange}, @ref{xrange},
                   3487: and @ref{yrange}.  The following @ref{plot} command shows setting the @ref{trange} to
                   3488: [-pi:pi], the @ref{xrange} to [-1.3:1.3] and the @ref{yrange} to [-1:1] for the
                   3489: duration of the graph:
                   3490:
                   3491: @example
                   3492:       plot [-pi:pi] [-1.3:1.3] [-1:1] sin(t),t**2
                   3493:
                   3494: @end example
                   3495:
                   3496: Note that the x2range and y2range cannot be specified here---@ref{x2range}
                   3497: and @ref{y2range} must be used.
                   3498:
                   3499: Ranges are interpreted in the order listed above for the appropriate mode.
                   3500: Once all those needed are specified, no further ones must be listed, but
                   3501: unneeded ones cannot be skipped---use an empty range `[]` as a placeholder.
                   3502:
                   3503: `*` can be used to allow autoscaling of either of min and max.  See also
                   3504: @ref{autoscale}.
                   3505:
                   3506: Ranges specified on the @ref{plot} or `splot` command line affect only that
                   3507: graph; use the @ref{xrange}, @ref{yrange}, etc., commands to change the
                   3508: default ranges for future graphs.
                   3509:
                   3510: With time data, you must provide the range (in the same manner as the time
                   3511: appears in the datafile) within quotes.  `gnuplot` uses the @ref{timefmt} string
                   3512: to read the value---see @ref{timefmt}.
                   3513:
                   3514: Examples:
                   3515:
                   3516: This uses the current ranges:
                   3517: @example
                   3518:       plot cos(x)
                   3519:
                   3520: @end example
                   3521:
                   3522: This sets the x range only:
                   3523: @example
                   3524:       plot [-10:30] sin(pi*x)/(pi*x)
                   3525:
                   3526: @end example
                   3527:
                   3528: This is the same, but uses t as the dummy-variable:
                   3529: @example
                   3530:       plot [t = -10 :30]  sin(pi*t)/(pi*t)
                   3531:
                   3532: @end example
                   3533:
                   3534: This sets both the x and y ranges:
                   3535: @example
                   3536:       plot [-pi:pi] [-3:3]  tan(x), 1/x
                   3537:
                   3538: @end example
                   3539:
                   3540: This sets only the y range, and turns off autoscaling on both axes:
                   3541: @example
                   3542:       plot [ ] [-2:sin(5)*-8] sin(x)**besj0(x)
                   3543:
                   3544: @end example
                   3545:
                   3546: This sets xmax and ymin only:
                   3547: @example
                   3548:       plot [:200] [-pi:]  exp(sin(x))
                   3549:
                   3550: @end example
                   3551:
                   3552: This sets the x range for a timeseries:
                   3553: @example
                   3554:       set timefmt "%d/%m/%y %H:%M"
                   3555:       plot ["1/6/93 12:00":"5/6/93 12:00"] 'timedata.dat'
                   3556:
                   3557: @end example
                   3558:
                   3559: @uref{http://www.nas.nasa.gov/~woo/gnuplot/ranges/ranges.html,See Demo. }
                   3560:
                   3561: @node title, with, ranges, plot
                   3562: @subsection title
                   3563:
                   3564: @c ?commands plot title
                   3565: @c ?commands splot title
                   3566: @c ?plot title
                   3567: @c ?splot title
                   3568: A line title for each function and data set appears in the key, accompanied
                   3569: by a sample of the line and/or symbol used to represent it.  It can be
                   3570: changed by using the `title` option.
                   3571:
                   3572: Syntax:
                   3573: @example
                   3574:       title "<title>" | notitle
                   3575:
                   3576: @end example
                   3577:
                   3578: where <title> is the new title of the line and must be enclosed in quotes.
                   3579: The quotes will not be shown in the key.  A special character may be given as
                   3580: a backslash followed by its octal value ("\345").  The tab character "\t" is
                   3581: understood.  Note that backslash processing occurs only for strings enclosed
                   3582: in double quotes---use single quotes to prevent such processing.  The newline
                   3583: character "\n" is not processed in key entries in either type of string.
                   3584:
                   3585: The line title and sample can be omitted from the key by using the keyword
                   3586: `notitle`.  A null title (`title ''`) is equivalent to `notitle`.  If only
                   3587: the sample is wanted, use one or more blanks (`title ' '`).
                   3588:
                   3589: By default the line title is the function or file name as it appears on the
                   3590: @ref{plot} command.  If it is a file name, any datafile modifiers specified will
                   3591: be included in the default title.
                   3592:
                   3593: The layout of the key itself (position, title justification, etc.) can be
                   3594: controlled by @ref{key}.  Please see @ref{key} for details.
                   3595:
                   3596: Examples:
                   3597:
                   3598: This plots y=x with the title 'x':
                   3599: @example
                   3600:       plot x
                   3601:
                   3602: @end example
                   3603:
                   3604: This plots x squared with title "x^2" and file "data.1" with title
                   3605: "measured data":
                   3606: @example
                   3607:       plot x**2 title "x^2", 'data.1' t "measured data"
                   3608:
                   3609: @end example
                   3610:
                   3611: This puts an untitled circular border around a polar graph:
                   3612: @example
                   3613:       set polar; plot my_function(t), 1 notitle
                   3614:
                   3615: @end example
                   3616:
                   3617: @node with,  , title, plot
                   3618: @subsection with
                   3619:
                   3620: @c ?commands plot with
                   3621: @c ?commands splot with
                   3622: @c ?commands plot style
                   3623: @c ?commands splot style
                   3624: @c ?plot with
                   3625: @c ?plot style
                   3626: @c ?splot with
                   3627: @c ?splot style
                   3628: @cindex style
                   3629: @opindex style
                   3630:
                   3631:
                   3632: @cindex with
                   3633:
                   3634: Functions and data may be displayed in one of a large number of styles.
                   3635: The @ref{with} keyword provides the means of selection.
                   3636:
                   3637: Syntax:
                   3638: @example
                   3639:       with <style> @{ @{linestyle | ls <line_style>@}
                   3640:                      | @{@{linetype | lt <line_type>@}
                   3641:                         @{linewidth | lw <line_width>@}
                   3642:                         @{pointtype | pt <point_type>@}
                   3643:                         @{pointsize | ps <point_size>@}@} @}
                   3644:
                   3645: @end example
                   3646:
                   3647: where <style> is either `lines`, `points`, @ref{linespoints}, @ref{impulses}, @ref{dots},
                   3648: @ref{steps}, @ref{fsteps}, @ref{histeps}, @ref{errorbars}, @ref{xerrorbars}, @ref{yerrorbars},
                   3649: @ref{xyerrorbars}, @ref{boxes}, @ref{boxerrorbars}, @ref{boxxyerrorbars}, @ref{financebars},
                   3650: @ref{candlesticks} or @ref{vector}.  Some of these styles require additional
                   3651: information.  See `set style <style>` for details of each style.
                   3652:
                   3653: Default styles are chosen with the @ref{style} and @ref{style}
                   3654: commands.
                   3655:
                   3656: By default, each function and data file will use a different line type and
                   3657: point type, up to the maximum number of available types.  All terminal
                   3658: drivers support at least six different point types, and re-use them, in
                   3659: order, if more are required.  The LaTeX driver supplies an additional six
                   3660: point types (all variants of a circle), and thus will only repeat after 12
                   3661: curves are plotted with points.  The PostScript drivers (`postscript`)
                   3662: supplies a total of 64.
                   3663:
                   3664: If you wish to choose the line or point type for a single plot, <line_type>
                   3665: and <point_type> may be specified.  These are positive integer constants (or
                   3666: expressions) that specify the line type and point type to be used for the
                   3667: plot.  Use @ref{test} to display the types available for your terminal.
                   3668:
                   3669: You may also scale the line width and point size for a plot by using
                   3670: <line_width> and <point_size>, which are specified relative to the default
                   3671: values for each terminal.  The pointsize may also be altered globally---see
                   3672: @ref{pointsize} for details.  But note that both <point_size> as set here and
                   3673: as set by @ref{pointsize} multiply the default point size---their effects are
                   3674: not cumulative.  That is, `set pointsize 2; plot x w p ps 3` will use points
                   3675: three times default size, not six.
                   3676:
                   3677: If you have defined specific line type/width and point type/size combinations
                   3678: with @ref{linestyle}, one of these may be selected by setting <line_style> to
                   3679: the index of the desired style.
                   3680:
                   3681: The keywords may be abbreviated as indicated.
                   3682:
                   3683: Note that the `linewidth` and @ref{pointsize} options are not supported by all
                   3684: terminals.
                   3685:
                   3686: Examples:
                   3687:
                   3688: This plots sin(x) with impulses:
                   3689: @example
                   3690:       plot sin(x) with impulses
                   3691:
                   3692: @end example
                   3693:
                   3694: This plots x with points, x**2 with the default:
                   3695: @example
                   3696:       plot x*y w points, x**2 + y**2
                   3697:
                   3698: @end example
                   3699:
                   3700: This plots tan(x) with the default function style, file "data.1" with lines:
                   3701: @example
                   3702:       plot [ ] [-2:5] tan(x), 'data.1' with l
                   3703:
                   3704: @end example
                   3705:
                   3706: This plots "leastsq.dat" with impulses:
                   3707: @example
                   3708:       plot 'leastsq.dat' w i
                   3709:
                   3710: @end example
                   3711:
                   3712: This plots the data file "population" with boxes:
                   3713: @example
                   3714:       plot 'population' with boxes
                   3715:
                   3716: @end example
                   3717:
                   3718: This plots "exper.dat" with errorbars and lines connecting the points
                   3719: (errorbars require three or four columns):
                   3720: @example
                   3721:       plot 'exper.dat' w lines, 'exper.dat' notitle w errorbars
                   3722:
                   3723: @end example
                   3724:
                   3725: This plots sin(x) and cos(x) with linespoints, using the same line type but
                   3726: different point types:
                   3727: @example
                   3728:       plot sin(x) with linesp lt 1 pt 3, cos(x) with linesp lt 1 pt 4
                   3729:
                   3730: @end example
                   3731:
                   3732: This plots file "data" with points of type 3 and twice usual size:
                   3733: @example
                   3734:       plot 'data' with points pointtype 3 pointsize 2
                   3735:
                   3736: @end example
                   3737:
                   3738: This plots two data sets with lines differing only by weight:
                   3739: @example
                   3740:       plot 'd1' t "good" w l lt 2 lw 3, 'd2' t "bad" w l lt 2 lw 1
                   3741:
                   3742: @end example
                   3743:
                   3744: See @ref{style} to change the default styles.
                   3745: @uref{http://www.nas.nasa.gov/~woo/gnuplot/styles/styles.html,Styles demos. }
                   3746:
                   3747: @node print, pwd, plot, Commands
                   3748: @section print
                   3749:
                   3750: @c ?commands print
                   3751: @cindex print
                   3752: @cmindex print
                   3753:
                   3754:
                   3755: The @ref{print} command prints the value of <expression> to the screen.  It is
                   3756: synonymous with `pause 0`.  <expression> may be anything that `gnuplot` can
                   3757: evaluate that produces a number, or it can be a string.
                   3758:
                   3759: Syntax:
                   3760: @example
                   3761:       print <expression> @{, <expression>, ...@}
                   3762:
                   3763: @end example
                   3764:
                   3765: See `expressions`.
                   3766:
                   3767: @node pwd, quit, print, Commands
                   3768: @section pwd
                   3769:
                   3770: @c ?commands pwd
                   3771: @cindex pwd
                   3772: @cmindex pwd
                   3773:
                   3774:
                   3775: The @ref{pwd} command prints the name of the working directory to the screen.
                   3776:
                   3777: @node quit, replot, pwd, Commands
                   3778: @section quit
                   3779:
                   3780: @c ?commands quit
                   3781: @cindex quit
                   3782: @cmindex quit
                   3783:
                   3784:
                   3785: The @ref{exit} and @ref{quit} commands and END-OF-FILE character will exit `gnuplot`.
                   3786: Each of these commands will clear the output device (as does the @ref{clear}
                   3787: command) before exiting.
                   3788:
                   3789: @node replot, reread, quit, Commands
                   3790: @section replot
                   3791:
                   3792: @c ?commands replot
                   3793: @cindex replot
                   3794: @cmindex replot
                   3795:
                   3796:
                   3797: The @ref{replot} command without arguments repeats the last @ref{plot} or `splot`
                   3798: command.  This can be useful for viewing a plot with different `set` options,
                   3799: or when generating the same plot for several devices.
                   3800:
                   3801: Arguments specified after a @ref{replot} command will be added onto the last
                   3802: @ref{plot} or `splot` command (with an implied ',' separator) before it is
                   3803: repeated.  @ref{replot} accepts the same arguments as the @ref{plot} and `splot`
                   3804: commands except that ranges cannot be specified.  Thus you can use @ref{replot}
                   3805: to plot a function against the second axes if the previous command was @ref{plot}
                   3806: but not if it was `splot`, and similarly you can use @ref{replot} to add a plot
                   3807: from a binary file only if the previous command was `splot`.
                   3808:
                   3809: N.B.---use of
                   3810:
                   3811: @example
                   3812:       plot '-' ; ... ; replot
                   3813:
                   3814: @end example
                   3815:
                   3816: is not recommended.  `gnuplot` does not store the inline data internally, so
                   3817: since @ref{replot} appends new information to the previous @ref{plot} and then
                   3818: executes the modified command, the `'-'` from the initial @ref{plot} will expect
                   3819: to read inline data again.
                   3820:
                   3821: Note that @ref{replot} does not work in @ref{multiplot} mode, since it reproduces
                   3822: only the last plot rather than the entire screen.
                   3823:
                   3824: See also `command-line-editing` for ways to edit the last @ref{plot} (`splot`)
                   3825: command.
                   3826:
                   3827: @node reread, reset, replot, Commands
                   3828: @section reread
                   3829:
                   3830: @c ?commands reread
                   3831: @cindex reread
                   3832: @cmindex reread
                   3833:
                   3834:
                   3835: The @ref{reread} command causes the current `gnuplot` command file, as specified
                   3836: by a @ref{load} command or on the command line, to be reset to its starting
                   3837: point before further commands are read from it.  This essentially implements
                   3838: an endless loop of the commands from the beginning of the command file to
                   3839: the @ref{reread} command.  (But this is not necessarily a disaster---@ref{reread} can
                   3840: be very useful when used in conjunction with @ref{if}.  See @ref{if} for details.)
                   3841: The @ref{reread} command has no effect if input from standard input.
                   3842:
                   3843: Examples:
                   3844:
                   3845: Suppose the file "looper" contains the commands
                   3846: @example
                   3847:       a=a+1
                   3848:       plot sin(x*a)
                   3849:       pause -1
                   3850:       if(a<5) reread
                   3851: @end example
                   3852:
                   3853: and from within `gnuplot` you submit the commands
                   3854: @example
                   3855:       a=0
                   3856:       load 'looper'
                   3857: @end example
                   3858:
                   3859: The result will be four plots (separated by the @ref{pause} message).
                   3860:
                   3861: Suppose the file "data" contains six columns of numbers with a total yrange
                   3862: from 0 to 10; the first is x and the next are five different functions of x.
                   3863: Suppose also that the file "plotter" contains the commands
                   3864: @example
                   3865:       c_p = c_p+1
                   3866:       plot "$0" using 1:c_p with lines linetype c_p
                   3867:       if(c_p <  n_p) reread
                   3868: @end example
                   3869:
                   3870: and from within `gnuplot` you submit the commands
                   3871: @example
                   3872:       n_p=6
                   3873:       c_p=1
                   3874:       set nokey
                   3875:       set yrange [0:10]
                   3876:       set multiplot
                   3877:       call 'plotter' 'data'
                   3878:       set nomultiplot
                   3879: @end example
                   3880:
                   3881: The result is a single graph consisting of five plots.  The yrange must be
                   3882: set explicitly to guarantee that the five separate graphs (drawn on top of
                   3883: each other in multiplot mode) will have exactly the same axes.  The linetype
                   3884: must be specified; otherwise all the plots would be drawn with the same type.
                   3885: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/animate.html,Reread Animation Demo}
                   3886:
                   3887: @node reset, save, reread, Commands
                   3888: @section reset
                   3889:
                   3890: @c ?commands reset
                   3891: @cindex reset
                   3892: @cmindex reset
                   3893:
                   3894:
                   3895: The @ref{reset} command causes all options that can be set with the `set`
                   3896: command to take on their default values.  The only exceptions are that the
                   3897: terminal set with `set term` and the output file set with @ref{output} are
                   3898: left unchanged.  This command is useful, e.g., to restore the default
                   3899: settings at the end of a command file, or to return to a defined state after
                   3900: lots of settings have been changed within a command file.  Please refer to
                   3901: the `set` command to see the default values that the various options take.
                   3902:
                   3903: @node save, set-show, reset, Commands
                   3904: @section save
                   3905:
                   3906: @c ?commands save
                   3907: @cindex save
                   3908: @cmindex save
                   3909:
                   3910:
                   3911: The @ref{save} command saves user-defined functions, variables, `set` options,
                   3912: or all three, plus the last @ref{plot} (`splot`) command to the specified file.
                   3913:
                   3914: Syntax:
                   3915: @example
                   3916:       save  @{<option>@} '<filename>'
                   3917:
                   3918: @end example
                   3919:
                   3920: where <option> is @ref{functions}, @ref{variables} or `set`. If no option is used,
                   3921: `gnuplot` saves functions, variables, `set` options and the last @ref{plot}
                   3922: (`splot`) command.
                   3923:
                   3924: @ref{save}d files are written in text format and may be read by the @ref{load}
                   3925: command.
                   3926:
                   3927: The filename must be enclosed in quotes.
                   3928:
                   3929: Examples:
                   3930: @example
                   3931:       save 'work.gnu'
                   3932:       save functions 'func.dat'
                   3933:       save var 'var.dat'
                   3934:       save set 'options.dat'
                   3935:
                   3936: @end example
                   3937:
                   3938: @node set-show, shell, save, Commands
                   3939: @section set-show
                   3940:
                   3941: @c ?commands set
                   3942: @c ?commands show
                   3943: @cindex set
                   3944:
                   3945: @cindex show
                   3946:
                   3947: @c ?show all
                   3948: The `set` command can be used to sets _lots_ of options.  No screen is
                   3949: drawn, however, until a @ref{plot}, `splot`, or @ref{replot} command is given.
                   3950:
                   3951: The `show` command shows their settings;  `show all` shows all the
                   3952: settings.
                   3953:
                   3954: If a variable contains time/date data, `show` will display it according to
                   3955: the format currently defined by @ref{timefmt}, even if that was not in effect
                   3956: when the variable was initially defined.
                   3957:
                   3958: @menu
                   3959: * angles::
                   3960: * arrow::
                   3961: * autoscale::
                   3962: * bar::
                   3963: * bmargin::
                   3964: * border::
                   3965: * boxwidth::
                   3966: * clabel::
                   3967: * clip::
                   3968: * cntrparam::
                   3969: * contour::
                   3970: * data_style::
                   3971: * dgrid3d::
                   3972: * dummy::
                   3973: * encoding::
                   3974: * format::
                   3975: * function_style::
                   3976: * functions::
                   3977: * grid::
                   3978: * hidden3d::
                   3979: * isosamples::
                   3980: * key::
                   3981: * label::
                   3982: * linestyle::
                   3983: * lmargin::
                   3984: * locale::
                   3985: * logscale::
                   3986: * mapping::
                   3987: * margin::
                   3988: * missing::
                   3989: * multiplot::
                   3990: * mx2tics::
                   3991: * mxtics::
                   3992: * my2tics::
                   3993: * mytics::
                   3994: * mztics::
                   3995: * offsets::
                   3996: * origin::
                   3997: * output::
                   3998: * parametric_::
                   3999: * pointsize::
                   4000: * polar::
                   4001: * rmargin::
                   4002: * rrange::
                   4003: * samples::
                   4004: * size::
                   4005: * style::
                   4006: * surface::
                   4007: * terminal::
                   4008: * tics::
                   4009: * ticslevel::
                   4010: * ticscale::
                   4011: * timestamp::
                   4012: * timefmt::
                   4013: * title_::
                   4014: * tmargin::
                   4015: * trange::
                   4016: * urange::
                   4017: * variables::
                   4018: * version::
                   4019: * view::
                   4020: * vrange::
                   4021: * x2data::
                   4022: * x2dtics::
                   4023: * x2label::
                   4024: * x2mtics::
                   4025: * x2range::
                   4026: * x2tics::
                   4027: * x2zeroaxis::
                   4028: * xdata::
                   4029: * xdtics::
                   4030: * xlabel::
                   4031: * xmtics::
                   4032: * xrange::
                   4033: * xtics::
                   4034: * xzeroaxis::
                   4035: * y2data::
                   4036: * y2dtics::
                   4037: * y2label::
                   4038: * y2mtics::
                   4039: * y2range::
                   4040: * y2tics::
                   4041: * y2zeroaxis::
                   4042: * ydata::
                   4043: * ydtics::
                   4044: * ylabel::
                   4045: * ymtics::
                   4046: * yrange::
                   4047: * ytics::
                   4048: * yzeroaxis::
                   4049: * zdata::
                   4050: * zdtics::
                   4051: * zero::
                   4052: * zeroaxis::
                   4053: * zlabel::
                   4054: * zmtics::
                   4055: * zrange::
                   4056: * ztics::
                   4057: @end menu
                   4058:
                   4059: @node angles, arrow, set-show, set-show
                   4060: @subsection angles
                   4061:
                   4062: @c ?commands set angles
                   4063: @c ?commands show angles
                   4064: @c ?set angles
                   4065: @c ?show angles
                   4066: @cindex angles
                   4067: @opindex angles
                   4068:
                   4069:
                   4070: @c ?commands set angles degrees
                   4071: @c ?set angles degrees
                   4072: @c ?angles degrees
                   4073: @cindex degrees
                   4074:
                   4075: By default, `gnuplot` assumes the independent variable in polar graphs is in
                   4076: units of radians.  If `set angles degrees` is specified before `set polar`,
                   4077: then the default range is [0:360] and the independent variable has units of
                   4078: degrees.  This is particularly useful for plots of data files.  The angle
                   4079: setting also applies to 3-d mapping as set via the @ref{mapping} command.
                   4080:
                   4081: Syntax:
                   4082: @example
                   4083:       set angles @{degrees | radians@}
                   4084:       show angles
                   4085:
                   4086: @end example
                   4087:
                   4088: The angle specified in `set grid polar` is also read and displayed in the
                   4089: units specified by @ref{angles}.
                   4090:
                   4091: @ref{angles} also affects the arguments of the machine-defined functions
                   4092: sin(x), cos(x) and tan(x), and the outputs of asin(x), acos(x), atan(x),
                   4093: atan2(x), and arg(x).  It has no effect on the arguments of hyperbolic
                   4094: functions or Bessel functions.  However, the output arguments of inverse
                   4095: hyperbolic functions of complex arguments are affected; if these functions
                   4096: are used, `set angles radians` must be in effect to maintain consistency
                   4097: between input and output arguments.
                   4098:
                   4099: @example
                   4100:       x=@{1.0,0.1@}
                   4101:       set angles radians
                   4102:       y=sinh(x)
                   4103:       print y         #prints @{1.16933, 0.154051@}
                   4104:       print asinh(y)  #prints @{1.0, 0.1@}
                   4105: @end example
                   4106:
                   4107: but
                   4108: @example
                   4109:       set angles degrees
                   4110:       y=sinh(x)
                   4111:       print y         #prints @{1.16933, 0.154051@}
                   4112:       print asinh(y)  #prints @{57.29578, 5.729578@}
                   4113: @end example
                   4114:
                   4115: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/poldat.html,Polar plot using @ref{angles}. }
                   4116:
                   4117: @node arrow, autoscale, angles, set-show
                   4118: @subsection arrow
                   4119:
                   4120: @c ?commands set arrow
                   4121: @c ?commands set noarrow
                   4122: @c ?commands show arrow
                   4123: @c ?set arrow
                   4124: @c ?set noarrow
                   4125: @c ?show arrow
                   4126: @cindex arrow
                   4127: @opindex arrow
                   4128:
                   4129:
                   4130: @cindex noarrow
                   4131:
                   4132: Arbitrary arrows can be placed on a plot using the @ref{arrow} command.
                   4133:
                   4134: Syntax:
                   4135: @example
                   4136:       set arrow @{<tag>@} @{from <position>@} @{to <position>@} @{@{no@}head@}
                   4137:                 @{ @{linestyle | ls <line_style>@}
                   4138:                   | @{linetype | lt <line_type>@}
                   4139:                     @{linewidth | lw <line_width@} @}
                   4140:       set noarrow @{<tag>@}
                   4141:       show arrow
                   4142:
                   4143: @end example
                   4144:
                   4145: <tag> is an integer that identifies the arrow.  If no tag is given, the
                   4146: lowest unused tag value is assigned automatically.  The tag can be used to
                   4147: delete or change a specific arrow.  To change any attribute of an existing
                   4148: arrow, use the @ref{arrow} command with the appropriate tag and specify the
                   4149: parts of the arrow to be changed.
                   4150:
                   4151: The <position>s are specified by either x,y or x,y,z, and may be preceded by
                   4152: `first`, `second`, `graph`, or `screen` to select the coordinate system.
                   4153: Unspecified coordinates default to 0.  The endpoints can be specified in
                   4154: one of four coordinate systems---`first` or `second` axes, `graph` or
                   4155: `screen`.  See `coordinates` for details.  A coordinate system specifier
                   4156: does not carry over from the "from" position to the "to" position.  Arrows
                   4157: outside the screen boundaries are permitted but may cause device errors.
                   4158:
                   4159: Specifying `nohead` produces an arrow drawn without a head---a line segment.
                   4160: This gives you yet another way to draw a line segment on the plot.  By
                   4161: default, arrows have heads.
                   4162:
                   4163: The line style may be selected from a user-defined list of line styles (see
                   4164: @ref{linestyle}) or may be defined here by providing values for <line_type>
                   4165: (an index from the default list of styles) and/or <line_width> (which is a
                   4166: multiplier for the default width).
                   4167:
                   4168: Note, however, that if a user-defined line style has been selected, its
                   4169: properties (type and width) cannot be altered merely by issuing another
                   4170: @ref{arrow} command with the appropriate index and `lt` or `lw`.
                   4171:
                   4172: Examples:
                   4173:
                   4174: To set an arrow pointing from the origin to (1,2) with user-defined style 5,
                   4175: use:
                   4176: @example
                   4177:       set arrow to 1,2 ls 5
                   4178:
                   4179: @end example
                   4180:
                   4181: To set an arrow from bottom left of plotting area to (-5,5,3), and tag the
                   4182: arrow number 3, use:
                   4183: @example
                   4184:       set arrow 3 from graph 0,0 to -5,5,3
                   4185:
                   4186: @end example
                   4187:
                   4188: To change the preceding arrow to end at 1,1,1, without an arrow head and
                   4189: double its width, use:
                   4190: @example
                   4191:       set arrow 3 to 1,1,1 nohead lw 2
                   4192:
                   4193: @end example
                   4194:
                   4195: To draw a vertical line from the bottom to the top of the graph at x=3, use:
                   4196: @example
                   4197:       set arrow from 3, graph 0 to 3, graph 1 nohead
                   4198:
                   4199: @end example
                   4200:
                   4201: To delete arrow number 2, use:
                   4202: @example
                   4203:       set noarrow 2
                   4204:
                   4205: @end example
                   4206:
                   4207: To delete all arrows, use:
                   4208: @example
                   4209:       set noarrow
                   4210:
                   4211: @end example
                   4212:
                   4213: To show all arrows (in tag order), use:
                   4214: @example
                   4215:       show arrow
                   4216: @end example
                   4217:
                   4218: @uref{http://www.nas.nasa.gov/~woo/gnuplot/arrows/arrows.html,Arrows Demos. }
                   4219:
                   4220: @node autoscale, bar, arrow, set-show
                   4221: @subsection autoscale
                   4222:
                   4223: @c ?commands set autoscale
                   4224: @c ?commands set noautoscale
                   4225: @c ?commands show autoscale
                   4226: @c ?set autoscale
                   4227: @c ?set noautoscale
                   4228: @c ?show autoscale
                   4229: @cindex autoscale
                   4230: @opindex autoscale
                   4231:
                   4232:
                   4233: @cindex noautoscale
                   4234:
                   4235: Autoscaling may be set individually on the x, y or z axis or globally on all
                   4236: axes. The default is to autoscale all axes.
                   4237:
                   4238: Syntax:
                   4239: @example
                   4240:       set autoscale @{<axes>@{min|max@}@}
                   4241:       set noautoscale @{<axes>@{min|max@}@}
                   4242:       show autoscale
                   4243:
                   4244: @end example
                   4245:
                   4246: where <axes> is either `x`, `y`, `z`, `x2`, `y2` or `xy`.  A keyword with
                   4247: `min` or `max` appended (this cannot be done with `xy`) tells `gnuplot` to
                   4248: autoscale just the minimum or maximum of that axis.  If no keyword is given,
                   4249: all axes are autoscaled.
                   4250:
                   4251: When autoscaling, the axis range is automatically computed and the dependent
                   4252: axis (y for a @ref{plot} and z for `splot`) is scaled to include the range of the
                   4253: function or data being plotted.
                   4254:
                   4255: If autoscaling of the dependent axis (y or z) is not set, the current y or z
                   4256: range is used.
                   4257:
                   4258: Autoscaling the independent variables (x for @ref{plot} and x,y for `splot`) is a
                   4259: request to set the domain to match any data file being plotted.  If there are
                   4260: no data files, autoscaling an independent variable has no effect.  In other
                   4261: words, in the absence of a data file, functions alone do not affect the x
                   4262: range (or the y range if plotting z = f(x,y)).
                   4263:
                   4264: Please see @ref{xrange} for additional information about ranges.
                   4265:
                   4266: The behavior of autoscaling remains consistent in parametric mode, (see `set
                   4267: parametric`).  However, there are more dependent variables and hence more
                   4268: control over x, y, and z axis scales.  In parametric mode, the independent or
                   4269: dummy variable is t for @ref{plot}s and u,v for `splot`s.  @ref{autoscale} in
                   4270: parametric mode, then, controls all ranges (t, u, v, x, y, and z) and allows
                   4271: x, y, and z to be fully autoscaled.
                   4272:
                   4273: Autoscaling works the same way for polar mode as it does for parametric mode
                   4274: for @ref{plot}, with the extension that in polar mode @ref{dummy} can be used to
                   4275: change the independent variable from t (see @ref{dummy}).
                   4276:
                   4277: When tics are displayed on second axes but no plot has been specified for
                   4278: those axes, x2range and y2range are inherited from xrange and yrange.  This
                   4279: is done _before_ xrange and yrange are autoextended to a whole number of
                   4280: tics, which can cause unexpected results.
                   4281:
                   4282: Examples:
                   4283:
                   4284: This sets autoscaling of the y axis (other axes are not affected):
                   4285: @example
                   4286:       set autoscale y
                   4287:
                   4288: @end example
                   4289:
                   4290: This sets autoscaling only for the minimum of the y axis (the maximum of the
                   4291: y axis and the other axes are not affected):
                   4292: @example
                   4293:       set autoscale ymin
                   4294:
                   4295: @end example
                   4296:
                   4297: This sets autoscaling of the x and y axes:
                   4298: @example
                   4299:       set autoscale xy
                   4300:
                   4301: @end example
                   4302:
                   4303: This sets autoscaling of the x, y, z, x2 and y2 axes:
                   4304: @example
                   4305:       set autoscale
                   4306:
                   4307: @end example
                   4308:
                   4309: This disables autoscaling of the x, y, z, x2 and y2 axes:
                   4310: @example
                   4311:       set noautoscale
                   4312:
                   4313: @end example
                   4314:
                   4315: This disables autoscaling of the z axis only:
                   4316: @example
                   4317:       set noautoscale z
                   4318:
                   4319: @end example
                   4320:
                   4321: @menu
                   4322: * parametric_mode::
                   4323: * polar_mode::
                   4324: @end menu
                   4325:
                   4326: @node parametric_mode, polar_mode, autoscale, autoscale
                   4327: @subsubsection parametric mode
                   4328:
                   4329: @c ?commands set autoscale parametric
                   4330: @c ?set autoscale parametric
                   4331: @c ?set autoscale t
                   4332: When in parametric mode (`set parametric`), the xrange is as fully scalable
                   4333: as the y range.  In other words, in parametric mode the x axis can be
                   4334: automatically scaled to fit the range of the parametric function that is
                   4335: being plotted.  Of course, the y axis can also be automatically scaled just
                   4336: as in the non-parametric case.  If autoscaling on the x axis is not set, the
                   4337: current x range is used.
                   4338:
                   4339: Data files are plotted the same in parametric and non-parametric mode.
                   4340: However, there is a difference in mixed function and data plots: in
                   4341: non-parametric mode with autoscaled x, the x range of the datafile controls
                   4342: the x range of the functions; in parametric mode it has no influence.
                   4343:
                   4344: For completeness a last command `set autoscale t` is accepted.  However, the
                   4345: effect of this "scaling" is very minor.  When `gnuplot` determines that the
                   4346: t range would be empty, it makes a small adjustment if autoscaling is true.
                   4347: Otherwise, `gnuplot` gives an error.  Such behavior may, in fact, not be very
                   4348: useful and the command `set autoscale t` is certainly questionable.
                   4349:
                   4350: `splot` extends the above ideas as you would expect.  If autoscaling is set,
                   4351: then x, y, and z ranges are computed and each axis scaled to fit the
                   4352: resulting data.
                   4353:
                   4354: @node polar_mode,  , parametric_mode, autoscale
                   4355: @subsubsection polar mode
                   4356:
                   4357: @c ?commands set autoscale polar
                   4358: @c ?set autoscale polar
                   4359: @c ?set autoscale t
                   4360: When in polar mode (`set polar`), the xrange and the yrange are both found
                   4361: from the polar coordinates, and thus they can both be automatically scaled.
                   4362: In other words, in polar mode both the x and y axes can be automatically
                   4363: scaled to fit the ranges of the polar function that is being plotted.
                   4364:
                   4365: When plotting functions in polar mode, the rrange may be autoscaled.  When
                   4366: plotting data files in polar mode, the trange may also be autoscaled.  Note
                   4367: that if the trange is contained within one quadrant, autoscaling will produce
                   4368: a polar plot of only that single quadrant.
                   4369:
                   4370: Explicitly setting one or two ranges but not others may lead to unexpected
                   4371: results.
                   4372: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/poldat.html,See polar demos }
                   4373:
                   4374: @node bar, bmargin, autoscale, set-show
                   4375: @subsection bar
                   4376:
                   4377: @c ?commands set bar
                   4378: @c ?commands show bar
                   4379: @c ?set bar
                   4380: @c ?show bar
                   4381: The @ref{bar} command controls the tics at the ends of errorbars.
                   4382:
                   4383: Syntax:
                   4384: @example
                   4385:       set bar @{small | large | <size>@}
                   4386:       show bar
                   4387:
                   4388: @end example
                   4389:
                   4390: `small` is a synonym for 0.0, and `large` for 1.0.
                   4391: The default is 1.0 if no size is given.
                   4392:
                   4393: @node bmargin, border, bar, set-show
                   4394: @subsection bmargin
                   4395:
                   4396: @c ?commands set bmargin
                   4397: @c ?set bmargin
                   4398: @cindex bmargin
                   4399: @opindex bmargin
                   4400:
                   4401:
                   4402: The command @ref{bmargin} sets the size of the bottom margin.  Please see
                   4403: @ref{margin} for details.
                   4404:
                   4405: @node border, boxwidth, bmargin, set-show
                   4406: @subsection border
                   4407:
                   4408: @c ?commands set border
                   4409: @c ?commands set noborder
                   4410: @c ?commands show border
                   4411: @c ?set border
                   4412: @c ?set noborder
                   4413: @c ?show border
                   4414: @cindex border
                   4415: @opindex border
                   4416:
                   4417:
                   4418: @cindex noborder
                   4419:
                   4420: The @ref{border} and `set noborder` commands control the display of the graph
                   4421: borders for the @ref{plot} and `splot` commands.
                   4422:
                   4423: Syntax:
                   4424: @example
                   4425:       set border @{<integer> @{ @{linestyle | ls <line_style>@}
                   4426:                               | @{linetype | lt <line_type> @}
                   4427:                                 @{linewidth | lw <line_width>@} @} @}
                   4428:       set noborder
                   4429:       show border
                   4430:
                   4431: @end example
                   4432:
                   4433: The borders are encoded in a 12-bit integer: the bottom four bits control the
                   4434: border for @ref{plot} and the sides of the base for `splot`; The next four bits
                   4435: control the verticals in `splot`; the top four bits control the edges on top
                   4436: of the `splot`.  In detail, the `<integer>` should be the sum of the
                   4437: appropriate entries from the following table:
                   4438:
                   4439:
                   4440: @example
                   4441:                         plot border     splot         splot
                   4442:           Side          splot base    verticals        top
                   4443:       bottom (south)         1            16           256
                   4444:       left   (west)          2            32           512
                   4445:       top    (north)         4            64          1024
                   4446:       right  (east)          8           128          2048
                   4447:
                   4448: @end example
                   4449:
                   4450:
                   4451: The default is 31, which is all four sides for @ref{plot}, and base and z axis
                   4452: for `splot`.
                   4453:
                   4454: Using the optional <line_style>, <line_type> and <line_width>
                   4455: specifiers, the way the border lines are drawn can be influenced
                   4456: (limited by what the current terminal driver supports).  By default,
                   4457: the border is drawn with twice the usual linewidth.  The <line_width>
                   4458: specifier scales this default value; for example, `set border 15 lw 2`
                   4459: will produce a border with four times the usual linewidth.
                   4460:
                   4461: Various axes or combinations of axes may be added together in the command.
                   4462:
                   4463: To have tics on edges other than bottom and left, disable the usual tics and
                   4464: enable the second axes.
                   4465:
                   4466: Examples:
                   4467:
                   4468: Draw all borders:
                   4469: @example
                   4470:       set border
                   4471:
                   4472: @end example
                   4473:
                   4474: Draw only the SOUTHWEST borders:
                   4475: @example
                   4476:       set border 3
                   4477:
                   4478: @end example
                   4479:
                   4480: Draw a complete box around a `splot`:
                   4481: @example
                   4482:       set border 4095
                   4483:
                   4484: @end example
                   4485:
                   4486: Draw a partial box, omitting the front vertical:
                   4487: @example
                   4488:       set border 127+256+512
                   4489:
                   4490: @end example
                   4491:
                   4492: Draw only the NORTHEAST borders:
                   4493: @example
                   4494:       set noxtics; set noytics; set x2tics; set y2tics; set border 12
                   4495:
                   4496: @end example
                   4497:
                   4498: @uref{http://www.nas.nasa.gov/~woo/gnuplot/borders/borders.html,Borders Demo. }
                   4499:
                   4500: @node boxwidth, clabel, border, set-show
                   4501: @subsection boxwidth
                   4502:
                   4503: @c ?commands set boxwidth
                   4504: @c ?commands show boxwidth
                   4505: @c ?set boxwidth
                   4506: @c ?show boxwidth
                   4507: @cindex boxwidth
                   4508: @opindex boxwidth
                   4509:
                   4510:
                   4511: The @ref{boxwidth} command is used to set the default width of boxes in the
                   4512: @ref{boxes} and @ref{boxerrorbars} styles.
                   4513:
                   4514: Syntax:
                   4515: @example
                   4516:       set boxwidth @{<width>@}
                   4517:       show boxwidth
                   4518:
                   4519: @end example
                   4520:
                   4521: If a data file is plotted without the width being specified in the third,
                   4522: fourth, or fifth column (or @ref{using} entry), or if a function is plotted, the
                   4523: width of each box is set by the @ref{boxwidth} command.  (If a width is given
                   4524: both in the file and by the @ref{boxwidth} command, the one in the file is
                   4525: used.)  If the width is not specified in one of these ways, the width of each
                   4526: box will be calculated automatically so that it touches the adjacent boxes.
                   4527: In a four-column data set, the fourth column will be interpreted as the box
                   4528: width unless the width is set to -2.0, in which case the width will be
                   4529: calculated automatically.  See @ref{boxerrorbars} for more details.
                   4530:
                   4531: To set the box width to automatic use the command
                   4532: @example
                   4533:       set boxwidth
                   4534: @end example
                   4535:
                   4536: or, for four-column data,
                   4537: @example
                   4538:       set boxwidth -2
                   4539:
                   4540: @end example
                   4541:
                   4542: The same effect can be achieved with the @ref{using} keyword in @ref{plot}:
                   4543: @example
                   4544:       plot 'file' using 1:2:3:4:(-2)
                   4545:
                   4546: @end example
                   4547:
                   4548: @node clabel, clip, boxwidth, set-show
                   4549: @subsection clabel
                   4550:
                   4551: @c ?commands set clabel
                   4552: @c ?commands set noclabel
                   4553: @c ?commands show clabel
                   4554: @c ?set clabel
                   4555: @c ?set noclabel
                   4556: @c ?show clabel
                   4557: @cindex clabel
                   4558: @opindex clabel
                   4559:
                   4560:
                   4561: @cindex noclabel
                   4562:
                   4563: `gnuplot` will vary the linetype used for each contour level when clabel is
                   4564: set.  When this option on (the default), a legend labels each linestyle with
                   4565: the z level it represents.  It is not possible at present to separate the
                   4566: contour labels from the surface key.
                   4567:
                   4568: Syntax:
                   4569: @example
                   4570:       set clabel @{'<format>'@}
                   4571:       set noclabel
                   4572:       show clabel
                   4573:
                   4574: @end example
                   4575:
                   4576: The default for the format string is %8.3g, which gives three decimal places.
                   4577: This may produce poor label alignment if the key is altered from its default
                   4578: configuration.
                   4579:
                   4580: The first contour linetype, or only contour linetype when clabel is off, is
                   4581: the surface linetype +1; contour points are the same style as surface points.
                   4582:
                   4583: See also @ref{contour}.
                   4584:
                   4585: @node clip, cntrparam, clabel, set-show
                   4586: @subsection clip
                   4587:
                   4588: @c ?commands set clip
                   4589: @c ?commands set noclip
                   4590: @c ?commands show clip
                   4591: @c ?set clip
                   4592: @c ?set noclip
                   4593: @c ?show clip
                   4594: @cindex clip
                   4595: @opindex clip
                   4596:
                   4597:
                   4598: @cindex noclip
                   4599:
                   4600: `gnuplot` can clip data points and lines that are near the boundaries of a
                   4601: graph.
                   4602:
                   4603: Syntax:
                   4604: @example
                   4605:       set clip <clip-type>
                   4606:       set noclip <clip-type>
                   4607:       show clip
                   4608:
                   4609: @end example
                   4610:
                   4611: Three clip types are supported by `gnuplot`: `points`, `one`, and `two`.
                   4612: One, two, or all three clip types may be active for a single graph.
                   4613:
                   4614: The `points` clip type forces `gnuplot` to clip (actually, not plot at all)
                   4615: data points that fall within but too close to the boundaries.  This is done
                   4616: so that large symbols used for points will not extend outside the boundary
                   4617: lines.  Without clipping points near the boundaries, the plot may look bad.
                   4618: Adjusting the x and y ranges may give similar results.
                   4619:
                   4620: Setting the `one` clip type causes `gnuplot` to draw a line segment which has
                   4621: only one of its two endpoints within the graph.  Only the in-range portion of
                   4622: the line is drawn.  The alternative is to not draw any portion of the line
                   4623: segment.
                   4624:
                   4625: Some lines may have both endpoints out of range, but pass through the graph.
                   4626: Setting the `two` clip-type allows the visible portion of these lines to be
                   4627: drawn.
                   4628:
                   4629: In no case is a line drawn outside the graph.
                   4630:
                   4631: The defaults are `noclip points`, `clip one`, and `noclip two`.
                   4632:
                   4633: To check the state of all forms of clipping, use
                   4634: @example
                   4635:       show clip
                   4636:
                   4637: @end example
                   4638:
                   4639: For backward compatibility with older versions, the following forms are also
                   4640: permitted:
                   4641: @example
                   4642:       set clip
                   4643:       set noclip
                   4644:
                   4645: @end example
                   4646:
                   4647: @ref{clip} is synonymous with `set clip points`; `set noclip` turns off all
                   4648: three types of clipping.
                   4649:
                   4650: @node cntrparam, contour, clip, set-show
                   4651: @subsection cntrparam
                   4652:
                   4653: @c ?commands set cntrparam
                   4654: @c ?commands show cntrparam
                   4655: @c ?set cntrparam
                   4656: @c ?show cntrparam
                   4657: @cindex cntrparam
                   4658: @opindex cntrparam
                   4659:
                   4660:
                   4661: @ref{cntrparam} controls the generation of contours and their smoothness for
                   4662: a contour plot. @ref{contour} displays current settings of @ref{cntrparam} as
                   4663: well as @ref{contour}.
                   4664:
                   4665: Syntax:
                   4666: @example
                   4667:       set cntrparam @{  @{linear | cubicspline | bspline@}
                   4668:                       @{ points <n>@} @{ order <n> @}
                   4669:                       @{ levels   auto @{<n>@} | <n>
                   4670:                                | discrete <z1> @{,<z2>@{,<z3>...@}@}
                   4671:                                | incremental <start>, <incr> @{,<end>@}
                   4672:                        @}
                   4673:                      @}
                   4674:       show contour
                   4675:
                   4676: @end example
                   4677:
                   4678: This command has two functions.  First, it sets the values of z for which
                   4679: contour points are to be determined (by linear interpolation between data
                   4680: points or function isosamples.)  Second, it controls the way contours are
                   4681: drawn between the points determined to be of equal z.  <n> should be an
                   4682: integral constant expression and <z1>, <z2> ... any constant expressions.
                   4683: The parameters are:
                   4684:
                   4685: `linear`, `cubicspline`, `bspline`---Controls type of approximation or
                   4686: interpolation.  If `linear`, then straight line segments connect points of
                   4687: equal z magnitude.  If `cubicspline`, then piecewise-linear contours are
                   4688: interpolated between the same equal z points to form somewhat smoother
                   4689: contours, but which may undulate.  If `bspline`, a guaranteed-smoother curve
                   4690: is drawn, which only approximates the position of the points of equal-z.
                   4691:
                   4692: `points`---Eventually all drawings are done with piecewise-linear strokes.
                   4693: This number controls the number of line segments used to approximate the
                   4694: `bspline` or `cubicspline` curve.  Number of cubicspline or bspline
                   4695: segments (strokes) = `points` * number of linear segments.
                   4696:
                   4697: `order`---Order of the bspline approximation to be used.  The bigger this
                   4698: order is, the smoother the resulting contour.  (Of course, higher order
                   4699: bspline curves will move further away from the original piecewise linear
                   4700: data.)  This option is relevant for `bspline` mode only.  Allowed values are
                   4701: integers in the range from 2 (linear) to 10.
                   4702:
                   4703: `levels`--- Selection of contour levels,  controlled by `auto` (default),
                   4704: `discrete`, `incremental`, and <n>, number of contour levels, limited to
                   4705: @example
                   4706:  MAX_DISCRETE_LEVELS as defined in plot.h (30 is standard.)
                   4707:
                   4708: @end example
                   4709:
                   4710: For `auto`, <n> specifies a nominal number of levels; the actual number will
                   4711: be adjusted to give simple labels. If the surface is bounded by zmin and zmax,
                   4712: contours will be generated at integer multiples of dz between zmin and zmax,
                   4713: where dz is 1, 2, or 5 times some power of ten (like the step between two
                   4714: tic marks).
                   4715:
                   4716: For `levels discrete`, contours will be generated at z = <z1>, <z2> ... as
                   4717: specified; the number of discrete levels sets the number of contour levels.
                   4718: In `discrete` mode, any `set cntrparms levels <n>` are ignored.
                   4719:
                   4720: For `incremental`, contours are generated at values of z beginning at <start>
                   4721: and increasing by <increment>, until the number of contours is reached. <end>
                   4722: is used to determine the number of contour levels, which will be changed by
                   4723: any subsequent `set cntrparam levels <n>`.
                   4724:
                   4725: If the command @ref{cntrparam} is given without any arguments specified,  the
                   4726: defaults are used: linear, 5 points, order 4, 5 auto levels.
                   4727:
                   4728: Examples:
                   4729: @example
                   4730:       set cntrparam bspline
                   4731:       set cntrparam points 7
                   4732:       set cntrparam order 10
                   4733:
                   4734: @end example
                   4735:
                   4736: To select levels automatically, 5 if the level increment criteria are met:
                   4737: @example
                   4738:       set cntrparam levels auto 5
                   4739:
                   4740: @end example
                   4741:
                   4742: To specify discrete levels at .1, .37, and .9:
                   4743: @example
                   4744:       set cntrparam levels discrete .1,1/exp(1),.9
                   4745:
                   4746: @end example
                   4747:
                   4748: To specify levels from 0 to 4 with increment 1:
                   4749: @example
                   4750:       set cntrparam levels incremental  0,1,4
                   4751:
                   4752: @end example
                   4753:
                   4754: To set the number of levels to 10 (changing an incremental end or possibly
                   4755: the number of auto levels):
                   4756: @example
                   4757:       set cntrparam levels 10
                   4758:
                   4759: @end example
                   4760:
                   4761: To set the start and increment while retaining the number of levels:
                   4762: @example
                   4763:       set cntrparam levels incremental 100,50
                   4764:
                   4765: @end example
                   4766:
                   4767: See also @ref{contour} for control of where the contours are drawn, and @ref{clabel} for control of the format of the contour labels and linetypes.
                   4768: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/contours.html,Contours Demo} and
                   4769: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/discrete.html,contours with User Defined Levels.}
                   4770:
                   4771: @node contour, data_style, cntrparam, set-show
                   4772: @subsection contour
                   4773:
                   4774: @c ?commands set contour
                   4775: @c ?commands set nocontour
                   4776: @c ?commands show contour
                   4777: @c ?set contour
                   4778: @c ?set nocontour
                   4779: @c ?show contour
                   4780: @cindex contour
                   4781: @opindex contour
                   4782:
                   4783:
                   4784: @cindex nocontour
                   4785:
                   4786: @ref{contour} enables contour drawing for surfaces. This option is available
                   4787: for `splot` only.
                   4788:
                   4789: Syntax:
                   4790: @example
                   4791:       set contour @{base | surface | both@}
                   4792:       set nocontour
                   4793:       show contour
                   4794:
                   4795: @end example
                   4796:
                   4797: The three options specify where to draw the contours: `base` draws the
                   4798: contours on the grid base where the x/ytics are placed, @ref{surface} draws the
                   4799: contours on the surfaces themselves, and `both` draws the contours on both
                   4800: the base and the surface.  If no option is provided, the default is `base`.
                   4801:
                   4802: See also @ref{cntrparam} for the parameters that affect the drawing of
                   4803: contours, and @ref{clabel} for control of labelling of the contours.
                   4804:
                   4805: The surface can be switched off (see @ref{surface}), giving a contour-only
                   4806: graph.  Though it is possible to use @ref{size} to enlarge the plot to fill
                   4807: the screen, more control over the output format can be obtained by writing
                   4808: the contour information to a file, and rereading it as a 2-d datafile plot:
                   4809:
                   4810: @example
                   4811:       set nosurface
                   4812:       set contour
                   4813:       set cntrparam ...
                   4814:       set term table
                   4815:       set out 'filename'
                   4816:       splot ...
                   4817:       set out
                   4818:       # contour info now in filename
                   4819:       set term <whatever>
                   4820:       plot 'filename'
                   4821:
                   4822: @end example
                   4823:
                   4824: In order to draw contours, the data should be organized as "grid data".  In
                   4825: such a file all the points for a single y-isoline are listed, then all the
                   4826: points for the next y-isoline, and so on.  A single blank line (a line
                   4827: containing no characters other than blank spaces and a carriage return and/or
                   4828: a line feed) separates one y-isoline from the next.  See also `splot datafile`.
                   4829:
                   4830: If contours are desired from non-grid data, @ref{dgrid3d} can be used to
                   4831: create an appropriate grid.  See @ref{dgrid3d} for more information.
                   4832: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/contours.html,Contours Demo} and
                   4833: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/discrete.html,contours with User Defined Levels.}
                   4834:
                   4835: @node data_style, dgrid3d, contour, set-show
                   4836: @subsection data style
                   4837:
                   4838: @c ?commands set data style
                   4839: @c ?commands show data style
                   4840: @c ?set data style
                   4841: @c ?show data style
                   4842: @c ?data style
                   4843: The @ref{style} command changes the default plotting style for data
                   4844: plots.
                   4845:
                   4846: Syntax:
                   4847: @example
                   4848:       set data style <style-choice>
                   4849:       show data style
                   4850:
                   4851: @end example
                   4852:
                   4853: See @ref{style} for the choices.  If no choice is given, the choices are
                   4854: listed.  @ref{style} shows the current default data plotting style.
                   4855:
                   4856: @node dgrid3d, dummy, data_style, set-show
                   4857: @subsection dgrid3d
                   4858:
                   4859: @c ?commands set dgrid3d
                   4860: @c ?commands set nodgrid3d
                   4861: @c ?commands show dgrid3d
                   4862: @c ?set dgrid3d
                   4863: @c ?set nodgrid3d
                   4864: @c ?show dgrid3d
                   4865: @cindex dgrid3d
                   4866: @opindex dgrid3d
                   4867:
                   4868:
                   4869: @cindex nodgrid3d
                   4870:
                   4871: The @ref{dgrid3d} command enables, and can set parameters for, non-grid
                   4872: to grid data mapping.
                   4873:
                   4874: Syntax:
                   4875: @example
                   4876:       set dgrid3d @{<row_size>@} @{,@{<col_size>@} @{,<norm>@}@}
                   4877:       set nodgrid3d
                   4878:       show dgrid3d
                   4879:
                   4880: @end example
                   4881:
                   4882: By default @ref{dgrid3d} is disabled.  When enabled, 3-d data read from a file
                   4883: are always treated as a scattered data set.  A grid with dimensions derived
                   4884: from a bounding box of the scattered data and size as specified by the
                   4885: row/col_size parameters is created for plotting and contouring.  The grid
                   4886: is equally spaced in x (rows) and in y (columns); the z values are computed
                   4887: as weighted averages of the scattered points' z values.
                   4888:
                   4889: The third parameter, norm, controls the weighting:  Each data point is
                   4890: weighted inversely by its distance from the grid point raised to the norm
                   4891: power.  (Actually, the weights are given by the inverse of dx^norm + dy^norm,
                   4892: where dx and dy are the components of the separation of the grid point from
                   4893: each data point.  For some norms that are powers of two, specifically 4, 8,
                   4894: and 16, the computation is optimized by using the Euclidean distance in the
                   4895: weight calculation, (dx^2+dx^2)^norm/2.  However, any non-negative integer
                   4896: can be used.)
                   4897:
                   4898: The closer the data point is to a grid point, the more effect it has on
                   4899: that grid point and the larger the value of norm the less effect more
                   4900: distant data points have on that grid point.
                   4901:
                   4902: The @ref{dgrid3d} option is a simple low pass filter that converts scattered
                   4903: data to a grid data set.  More sophisticated approaches to this problem
                   4904: exist and should be used to preprocess the data outside `gnuplot` if this
                   4905: simple solution is found inadequate.
                   4906:
                   4907: (The z values are found by weighting all data points, not by interpolating
                   4908: between nearby data points;  also edge effects may produce unexpected and/or
                   4909: undesired results.  In some cases, small norm values produce a grid point
                   4910: reflecting the average of distant data points rather than a local average,
                   4911: while large values of norm may produce "steps" with several grid points
                   4912: having the same value as the closest data point, rather than making a smooth
                   4913: transition between adjacent data points.  Some areas of a grid may be filled
                   4914: by extrapolation, to an arbitrary boundary condition.  The variables are
                   4915: not normalized; consequently the units used for x and y will affect the
                   4916: relative weights of points in the x and y directions.)
                   4917:
                   4918: Examples:
                   4919: @example
                   4920:       set dgrid3d 10,10,1     # defaults
                   4921:       set dgrid3d ,,4
                   4922:
                   4923: @end example
                   4924:
                   4925: The first specifies that a grid of size 10 by 10 is to be constructed using
                   4926: a norm value of 1 in the weight computation.  The second only modifies the
                   4927: norm, changing it to 4.
                   4928: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/scatter.html,Dgrid3d Demo.}
                   4929:
                   4930:
                   4931: @node dummy, encoding, dgrid3d, set-show
                   4932: @subsection dummy
                   4933:
                   4934: @c ?commands set dummy
                   4935: @c ?commands show dummy
                   4936: @c ?set dummy
                   4937: @c ?show dummy
                   4938: @cindex dummy
                   4939: @opindex dummy
                   4940:
                   4941:
                   4942: The @ref{dummy} command changes the default dummy variable names.
                   4943:
                   4944: Syntax:
                   4945: @example
                   4946:       set dummy @{<dummy-var>@} @{,<dummy-var>@}
                   4947:       show dummy
                   4948:
                   4949: @end example
                   4950:
                   4951: By default, `gnuplot` assumes that the independent, or "dummy", variable for
                   4952: the @ref{plot} command is "t" if in parametric or polar mode, or "x" otherwise.
                   4953: Similarly the independent variables for the `splot` command are "u" and "v"
                   4954: in parametric mode (`splot` cannot be used in polar mode), or "x" and "y"
                   4955: otherwise.
                   4956:
                   4957: It may be more convenient to call a dummy variable by a more physically
                   4958: meaningful or conventional name.  For example, when plotting time functions:
                   4959:
                   4960: @example
                   4961:       set dummy t
                   4962:       plot sin(t), cos(t)
                   4963:
                   4964: @end example
                   4965:
                   4966: At least one dummy variable must be set on the command; @ref{dummy} by itself
                   4967: will generate an error message.
                   4968:
                   4969: Examples:
                   4970: @example
                   4971:       set dummy u,v
                   4972:       set dummy ,s
                   4973:
                   4974: @end example
                   4975:
                   4976: The second example sets the second variable to s.
                   4977:
                   4978: @node encoding, format, dummy, set-show
                   4979: @subsection encoding
                   4980:
                   4981: @c ?commands set encoding
                   4982: @c ?commands show encoding
                   4983: @c ?set encoding
                   4984: @c ?show encoding
                   4985: @cindex encoding
                   4986: @opindex encoding
                   4987:
                   4988:
                   4989: The @ref{encoding} command selects a character encoding.  Valid values are
                   4990: `default`, which tells a terminal to use its default; `iso_8859_1` (known in
                   4991: the PostScript world as `ISO-Latin1`), which is used on many Unix workstations
                   4992: and with MS-Windows; `cp850`, for OS/2; and `cp437`, for MS-DOS.
                   4993:
                   4994: Syntax:
                   4995: @example
                   4996:       set encoding @{<value>@}
                   4997:       show encoding
                   4998:
                   4999: @end example
                   5000:
                   5001: Note that encoding is not supported by all terminal drivers and that
                   5002: the device must be able to produce the desired non-standard characters.
                   5003:
                   5004: @node format, function_style, encoding, set-show
                   5005: @subsection format
                   5006:
                   5007: @c ?commands set format
                   5008: @c ?commands show format
                   5009: @c ?set format
                   5010: @c ?show format
                   5011: @cindex format
                   5012: @opindex format
                   5013:
                   5014:
                   5015: The format of the tic-mark labels can be set with the `set format` command.
                   5016:
                   5017: Syntax:
                   5018: @example
                   5019:       set format @{<axes>@} @{"<format-string>"@}
                   5020:       set format @{<axes>@} @{'<format-string>'@}
                   5021:       show format
                   5022:
                   5023: @end example
                   5024:
                   5025: where <axes> is either `x`, `y`, `z`, `xy`, `x2`, `y2` or nothing (which is
                   5026: the same as `xy`).  The length of the string representing a tic mark (after
                   5027: formatting with 'printf') is restricted to 100 characters.  If the format
                   5028: string is omitted, the format will be returned to the default "%g".  For
                   5029: LaTeX users, the format "$%g$" is often desirable.  If the empty string "" is
                   5030: used, no label will be plotted with each tic, though the tic mark will still
                   5031: be plotted.  To eliminate all tic marks, use `set noxtics` or `set noytics`.
                   5032:
                   5033: Newline (\n) is accepted in the format string.  Use double-quotes rather than
                   5034: single-quotes to enable such interpretation.  See also `syntax`.
                   5035:
                   5036: The default format for both axes is "%g", but other formats such as "%.2f" or
                   5037: "%3.0em" are often desirable.  Anything accepted by 'printf' when given a
                   5038: double precision number, and accepted by the terminal, will work.  Some other
                   5039: options have been added.  If the format string looks like a floating point
                   5040: format, then `gnuplot` tries to construct a reasonable format.
                   5041:
                   5042: Characters not preceded by "%" are printed verbatim.  Thus you can include
                   5043: spaces and labels in your format string, such as "%g m", which will put " m"
                   5044: after each number.  If you want "%" itself, double it: "%g %%".
                   5045:
                   5046: See also @ref{xtics} for more information about tic labels.
                   5047: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/electron.html,See demo. }
                   5048:
                   5049: @menu
                   5050: * format_specifiers::
                   5051: * time/date_specifiers::
                   5052: @end menu
                   5053:
                   5054: @node format_specifiers, time/date_specifiers, format, format
                   5055: @subsubsection format specifiers
                   5056:
                   5057: @c ?commands set format specifiers
                   5058: @c ?set format specifiers
                   5059: @c ?format specifiers
                   5060: @cindex format_specifiers
                   5061:
                   5062: The acceptable formats (if not in time/date mode) are:
                   5063:
                   5064:
                   5065: @example
                   5066:       Format       Explanation
                   5067:       %f           floating point notation
                   5068:       %e or %E     exponential notation; an "e" or "E" before the power
                   5069:       %g or %G     the shorter of %e (or %E) and %f
                   5070:       %x or %X     hex
                   5071:       %o or %O     octal
                   5072:       %t           mantissa to base 10
                   5073:       %l           mantissa to base of current logscale
                   5074:       %s           mantissa to base of current logscale; scientific power
                   5075:       %T           power to base 10
                   5076:       %L           power to base of current logscale
                   5077:       %S           scientific power
                   5078:       %c           character replacement for scientific power
                   5079:       %P           multiple of pi
                   5080:
                   5081: @end example
                   5082:
                   5083:
                   5084: A 'scientific' power is one such that the exponent is a multiple of three.
                   5085: Character replacement of scientific powers (`"%c"`) has been implemented
                   5086: for powers in the range -18 to +18.  For numbers outside of this range the
                   5087: format reverts to exponential.
                   5088:
                   5089: Other acceptable modifiers (which come after the "%" but before the format
                   5090: specifier) are "-", which left-justifies the number; "+", which forces all
                   5091: numbers to be explicitly signed; "#", which places a decimal point after
                   5092: floats that have only zeroes following the decimal point; a positive integer,
                   5093: which defines the field width; "0" (the digit, not the letter) immediately
                   5094: preceding the field width, which indicates that leading zeroes are to be used
                   5095: instead of leading blanks; and a decimal point followed by a non-negative
                   5096: integer, which defines the precision (the minimum number of digits of an
                   5097: integer, or the number of digits following the decimal point of a float).
                   5098:
                   5099: Some releases of 'printf' may not support all of these modifiers but may also
                   5100: support others; in case of doubt, check the appropriate documentation and
                   5101: then experiment.
                   5102:
                   5103: Examples:
                   5104: @example
                   5105:       set format y "%t"; set ytics (5,10)          # "5.0" and "1.0"
                   5106:       set format y "%s"; set ytics (500,1000)      # "500" and "1.0"
                   5107:       set format y "+-12.3f"; set ytics(12345)     # "+12345.000  "
                   5108:       set format y "%.2t*10^%+03T"; set ytic(12345)# "1.23*10^+04"
                   5109:       set format y "%s*10^@{%S@}"; set ytic(12345)   # "12.345*10^@{3@}"
                   5110:       set format y "%s %cg"; set ytic(12345)       # "12.345 kg"
                   5111:       set format y "%.0P pi"; set ytic(6.283185)   # "2 pi"
                   5112:       set format y "%.0P%%"; set ytic(50)          # "50%"
                   5113:
                   5114: @end example
                   5115:
                   5116: @example
                   5117:       set log y 2; set format y '%l'; set ytics (1,2,3)
                   5118:       #displays "1.0", "1.0" and "1.5" (since 3 is 1.5 * 2^1)
                   5119:
                   5120: @end example
                   5121:
                   5122: There are some problem cases that arise when numbers like 9.999 are printed
                   5123: with a format that requires both rounding and a power.
                   5124:
                   5125: If the data type for the axis is time/date, the format string must contain
                   5126: valid codes for the 'strftime' function (outside of `gnuplot`, type "man
                   5127: strftime").  See @ref{timefmt} for a list of the allowed input format codes.
                   5128:
                   5129: @node time/date_specifiers,  , format_specifiers, format
                   5130: @subsubsection time/date specifiers
                   5131:
                   5132: @c ?commands set format time/date_specifiers
                   5133: @c ?set format time/date_specifiers
                   5134: @c ?set time/date_specifiers
                   5135: @cindex time/date_specifiers
                   5136:
                   5137: In time/date mode, the acceptable formats are:
                   5138:
                   5139:
                   5140: @example
                   5141:       Format       Explanation
                   5142:       %a           abbreviated name of day of the week
                   5143:       %A           full name of day of the week
                   5144:       %b or %h     abbreviated name of the month
                   5145:       %B           full name of the month
                   5146:       %d           day of the month, 1--31
                   5147:       %D           shorthand for "%m/%d/%y"
                   5148:       %H or %k     hour, 0--24
                   5149:       %I or %l     hour, 0--12
                   5150:       %j           day of the year, 1--366
                   5151:       %m           month, 1--12
                   5152:       %M           minute, 0--60
                   5153:       %p           "am" or "pm"
                   5154:       %r           shorthand for "%I:%M:%S %p"
1.1.1.2 ! ohara    5155:       %R           shorthand for "%H:%M"
1.1       maekawa  5156:       %S           second, 0--60
                   5157:       %T           shorthand for "%H:%M:%S"
                   5158:       %U           week of the year (week starts on Sunday)
                   5159:       %w           day of the week, 0--6 (Sunday = 0)
                   5160:       %W           week of the year (week starts on Monday)
                   5161:       %y           year, 0-99
                   5162:       %Y           year, 4-digit
                   5163:
                   5164: @end example
                   5165:
                   5166:
                   5167: Except for the non-numerical formats, these may be preceded by a "0" ("zero",
                   5168: not "oh") to pad the field length with leading zeroes, and a positive digit,
                   5169: to define the minimum field width (which will be overridden if the specified
                   5170: width is not large enough to contain the number).  There is a 24-character
                   5171: limit to the length of the printed text; longer strings will be truncated.
                   5172:
                   5173: Examples:
                   5174:
                   5175: Suppose the text is "76/12/25 23:11:11".  Then
                   5176: @example
                   5177:       set format x                 # defaults to "12/25/76" \n "23:11"
                   5178:       set format x "%A, %d %b %Y"  # "Saturday, 25 Dec 1976"
                   5179:       set format x "%r %d"         # "11:11:11 pm 12/25/76"
                   5180:
                   5181: @end example
                   5182:
                   5183: Suppose the text is "98/07/06 05:04:03".  Then
                   5184: @example
                   5185:       set format x "%1y/%2m/%3d %01H:%02M:%03S"  # "98/ 7/  6 5:04:003"
                   5186:
                   5187: @end example
                   5188:
                   5189: @node function_style, functions, format, set-show
                   5190: @subsection function style
                   5191:
                   5192: @c ?commands set function style
                   5193: @c ?commands show function style
                   5194: @c ?set function style
                   5195: @c ?show function style
                   5196: @c ?function style
                   5197: The @ref{style} command changes the default plotting style for
                   5198: function plots.
                   5199:
                   5200: Syntax:
                   5201: @example
                   5202:       set function style <style-choice>
                   5203:       show function style
                   5204:
                   5205: @end example
                   5206:
                   5207: See @ref{style} for the choices.  If no choice is given, the choices are
                   5208: listed.  @ref{style} shows the current default function plotting
                   5209: style.
                   5210:
                   5211: @node functions, grid, function_style, set-show
                   5212: @subsection functions
                   5213:
                   5214: @c ?commands show functions
                   5215: @c ?show functions
                   5216: The @ref{functions} command lists all user-defined functions and their
                   5217: definitions.
                   5218:
                   5219: Syntax:
                   5220: @example
                   5221:       show functions
                   5222:
                   5223: @end example
                   5224:
                   5225: For information about the definition and usage of functions in `gnuplot`,
                   5226: please see `expressions`.
                   5227: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/spline.html,Splines as User Defined Functions.}
                   5228: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/airfoil.html,Use of functions and complex variables for airfoils }
                   5229:
                   5230: @node grid, hidden3d, functions, set-show
                   5231: @subsection grid
                   5232:
                   5233: @c ?commands set grid
                   5234: @c ?commands set nogrid
                   5235: @c ?commands show grid
                   5236: @c ?set grid
                   5237: @c ?set nogrid
                   5238: @c ?show grid
                   5239: @cindex grid
                   5240: @opindex grid
                   5241:
                   5242:
                   5243: @cindex nogrid
                   5244:
                   5245: The `set grid` command allows grid lines to be drawn on the plot.
                   5246:
                   5247: Syntax:
                   5248: @example
                   5249:       set grid @{@{no@}@{m@}xtics@} @{@{no@}@{m@}ytics@} @{@{no@}@{m@}ztics@}
                   5250:                @{@{no@}@{m@}x2tics@} @{@{no@}@{m@}y2tics@}
                   5251:                @{polar @{<angle>@}@}
                   5252:                @{ @{linestyle <major_linestyle>@}
                   5253:                  | @{linetype | lt <major_linetype>@}
                   5254:                    @{linewidth | lw <major_linewidth>@}
                   5255:                  @{ , @{linestyle | ls <minor_linestyle>@}
                   5256:                      | @{linetype | lt <minor_linetype>@}
                   5257:                        @{linewidth | lw <minor_linewidth>@} @} @}
                   5258:       set nogrid
                   5259:       show grid
                   5260:
                   5261: @end example
                   5262:
                   5263: The grid can be enabled and disabled for the major and/or minor tic
                   5264: marks on any axis, and the linetype and linewidth can be specified
                   5265: for major and minor grid lines, also via a predefined linestyle, as
                   5266: far as the active terminal driver supports this.
                   5267:
                   5268: Additionally, a polar grid can be selected for 2-d plots---circles are drawn
                   5269: to intersect the selected tics, and radial lines are drawn at definable
                   5270: intervals.  (The interval is given in degrees or radians ,depending on the
                   5271: @ref{angles} setting.)  Note that a polar grid is no longer automatically
                   5272: generated in polar mode.
                   5273:
                   5274: The pertinent tics must be enabled before `set grid` can draw them; `gnuplot`
                   5275: will quietly ignore instructions to draw grid lines at non-existent tics, but
                   5276: they will appear if the tics are subsequently enabled.
                   5277:
                   5278: If no linetype is specified for the minor gridlines, the same linetype as the
                   5279: major gridlines is used.  The default polar angle is 30 degrees.
                   5280:
                   5281: By default, grid lines are drawn with half the usual linewidth. The major and
                   5282: minor linewidth specifiers scale this default value; for example, `set grid
                   5283: lw .5` will draw grid lines with one quarter the usual linewidth.
                   5284:
                   5285: Z grid lines are drawn on the back of the plot.  This looks better if a
                   5286: partial box is drawn around the plot---see @ref{border}.
                   5287:
                   5288: @node hidden3d, isosamples, grid, set-show
                   5289: @subsection hidden3d
                   5290:
                   5291: @c ?commands set hidden3d
                   5292: @c ?commands set nohidden3d
                   5293: @c ?commands show hidden3d
                   5294: @c ?set hidden3d
                   5295: @c ?set nohidden3d
                   5296: @c ?show hidden3d
                   5297: @cindex hidden3d
                   5298: @opindex hidden3d
                   5299:
                   5300:
                   5301: @cindex nohidden3d
                   5302:
                   5303: The @ref{hidden3d} command enables hidden line removal for surface plotting
                   5304: (see `splot`).  Some optional features of the underlying algorithm can also
                   5305: be controlled using this command.
                   5306:
                   5307: Syntax:
                   5308: @example
                   5309:       set hidden3d @{defaults@} |
                   5310:                    @{ @{@{offset <offset>@} | @{nooffset@}@}
                   5311:                      @{trianglepattern <bitpattern>@}
                   5312:                      @{@{undefined <level>@} | @{noundefined@}@}
                   5313:                      @{@{no@}altdiagonal@}
                   5314:                      @{@{no@}bentover@} @}
                   5315:       set nohidden3d
                   5316:       show hidden3d
                   5317:
                   5318: @end example
                   5319:
                   5320: In contrast to the usual display in gnuplot, hidden line removal actually
                   5321: treats the given function or data grids as real surfaces that can't be seen
                   5322: through, so parts behind the surface will be hidden by it.  For this to be
                   5323: possible, the surface needs to have 'grid structure' (see `splot datafile`
                   5324: about this), and it has to be drawn `with lines` or @ref{linespoints}.
                   5325:
                   5326: When @ref{hidden3d} is set, both the hidden portion of the surface and possibly
                   5327: its contours drawn on the base (see @ref{contour}) as well as the grid will
                   5328: be hidden.  Each surface has its hidden parts removed with respect to itself
                   5329: and to other surfaces, if more than one surface is plotted.  Contours drawn
                   5330: on the surface (@ref{surface}) don't work.  Labels and arrows are
                   5331: always visible and are unaffected.  The key is also never hidden by the
                   5332: surface.
                   5333:
                   5334: Functions are evaluated at isoline intersections.  The algorithm interpolates
                   5335: linearly between function points or data points when determining the visible
                   5336: line segments.  This means that the appearance of a function may be different
                   5337: when plotted with @ref{hidden3d} than when plotted with `nohidden3d` because in
                   5338: the latter case functions are evaluated at each sample.  Please see @ref{samples} and @ref{isosamples} for discussion of the difference.
                   5339:
                   5340: The algorithm used to remove the hidden parts of the surfaces has some
                   5341: additional features controllable by this command.  Specifying `defaults` will
                   5342: set them all to their default settings, as detailed below.  If `defaults` is
                   5343: not given, only explicitly specified options will be influenced: all others
                   5344: will keep their previous values, so you can turn on/off hidden line removal
                   5345: via `set @{no@}hidden3d`, without modifying the set of options you chose.
                   5346:
                   5347: The first option, `offset`, influences the linestyle used for lines on the
                   5348: 'back' side.  Normally, they are drawn in a linestyle one index number higher
                   5349: than the one used for the front, to make the two sides of the surface
                   5350: distinguishable.  You can specify a different line style offset to add
                   5351: instead of the default 1, by `offset <offset>`.  Option `nooffset` stands for
                   5352: `offset 0`, making the two sides of the surface use the same linestyle.
                   5353:
                   5354: Next comes the option `trianglepattern <bitpattern>`.  <bitpattern> must be
                   5355: a number between 0 and 7, interpreted as a bit pattern.  Each bit determines
                   5356: the visibility of one edge of the triangles each surface is split up into.
                   5357: Bit 0 is for the 'horizontal' edges of the grid, Bit 1 for the 'vertical'
                   5358: ones, and Bit 2 for the diagonals that split each cell of the original grid
                   5359: into two triangles.  The default pattern is 3, making all horizontal and
                   5360: vertical lines visible, but not the diagonals.  You may want to choose 7 to
                   5361: see those diagonals as well.
                   5362:
                   5363: The `undefined <level>` option lets you decide what the algorithm is to do
                   5364: with data points that are undefined (missing data, or undefined function
                   5365: values), or exceed the given x-, y- or z-ranges.  Such points can either be
                   5366: plotted nevertheless, or taken out of the input data set.  All surface
                   5367: elements touching a point that is taken out will be taken out as well, thus
                   5368: creating a hole in the surface.  If <level> = 3, equivalent to option
                   5369: `noundefined`, no points will be thrown away at all.  This may produce all
                   5370: kinds of problems elsewhere, so you should avoid this.  <level> = 2 will
                   5371: throw away undefined points, but keep the out-of-range ones.  <level> = 1,
                   5372: the default, will get rid of out-of-range points as well.
                   5373:
                   5374: By specifying `noaltdiagonal`, you can override the default handling of a
                   5375: special case can occur if `undefined` is active (i.e. <level> is not 3).
                   5376: Each cell of the grid-structured input surface will be divided in two
                   5377: triangles along one of its diagonals.  Normally, all these diagonals have
                   5378: the same orientation relative to the grid.  If exactly one of the four cell
                   5379: corners is excluded by the `undefined` handler, and this is on the usual
                   5380: diagonal, both triangles will be excluded.  However if the default setting
                   5381: of `altdiagonal` is active, the other diagonal will be chosen for this cell
                   5382: instead, minimizing the size of the hole in the surface.
                   5383:
                   5384: The `bentover` option controls what happens to another special case, this
                   5385: time in conjunction with the `trianglepattern`.  For rather crumply surfaces,
                   5386: it can happen that the two triangles a surface cell is divided into are seen
                   5387: from opposite sides (i.e. the original quadrangle is 'bent over'), as
                   5388: illustrated in the following ASCII art:
                   5389:
                   5390: @example
                   5391:                                                               C----B
                   5392:     original quadrangle:  A--B      displayed quadrangle:     |\   |
                   5393:       ("set view 0,0")    | /|    ("set view 75,75" perhaps)  | \  |
                   5394:                           |/ |                                |  \ |
                   5395:                           C--D                                |   \|
                   5396:                                                               A    D
                   5397:
                   5398: @end example
                   5399:
                   5400: If the diagonal edges of the surface cells aren't generally made visible by
                   5401: bit 2 of the <bitpattern> there, the edge CB above wouldn't be drawn at all,
                   5402: normally, making the resulting display hard to understand.  Therefore, the
                   5403: default option of `bentover` will turn it visible in this case.  If you don't
                   5404: want that, you may choose `nobentover` instead.
                   5405: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/hidden.html,Hidden Line Removal Demo} and
                   5406: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/singulr.html,Complex Hidden Line Demo. }
                   5407:
                   5408: @node isosamples, key, hidden3d, set-show
                   5409: @subsection isosamples
                   5410:
                   5411: @c ?commands set isosamples
                   5412: @c ?commands show isosamples
                   5413: @c ?set isosamples
                   5414: @c ?show isosamples
                   5415: @cindex isosamples
                   5416: @opindex isosamples
                   5417:
                   5418:
                   5419: The isoline density (grid) for plotting functions as surfaces may be changed
                   5420: by the @ref{isosamples} command.
                   5421:
                   5422: Syntax:
                   5423: @example
                   5424:       set isosamples <iso_1> @{,<iso_2>@}
                   5425:       show isosamples
                   5426:
                   5427: @end example
                   5428:
                   5429: Each function surface plot will have <iso_1> iso-u lines and <iso_2> iso-v
                   5430: lines.  If you only specify <iso_1>, <iso_2> will be set to the same value
                   5431: as <iso_1>.  By default, sampling is set to 10 isolines per u or v axis.
                   5432: A higher sampling rate will produce more accurate plots, but will take longer.
                   5433: These parameters have no effect on data file plotting.
                   5434:
                   5435: An isoline is a curve parameterized by one of the surface parameters while
                   5436: the other surface parameter is fixed.  Isolines provide a simple means to
                   5437: display a surface.  By fixing the u parameter of surface s(u,v), the iso-u
                   5438: lines of the form c(v) = s(u0,v) are produced, and by fixing the v parameter,
                   5439: the iso-v lines of the form c(u) = s(u,v0) are produced.
                   5440:
                   5441: When a function surface plot is being done without the removal of hidden
                   5442: lines, @ref{samples}  controls the number of points sampled along each
                   5443: isoline;  see @ref{samples} and @ref{hidden3d}.  The contour algorithm
                   5444: assumes that a function sample occurs at each isoline intersection, so
                   5445: change in @ref{samples} as well as @ref{isosamples} may be desired when changing
                   5446: the resolution of a function surface/contour.
                   5447:
                   5448: @node key, label, isosamples, set-show
                   5449: @subsection key
                   5450:
                   5451: @c ?commands set key
                   5452: @c ?commands set nokey
                   5453: @c ?commands show key
                   5454: @c ?set key
                   5455: @c ?set nokey
                   5456: @c ?show key
                   5457: @cindex key
                   5458: @opindex key
                   5459:
                   5460:
                   5461: @cindex nokey
                   5462:
                   5463: @cindex legend
                   5464:
                   5465: The @ref{key} enables a key (or legend) describing plots on a plot.
                   5466:
                   5467: The contents of the key, i.e., the names given to each plotted data set and
                   5468: function and samples of the lines and/or symbols used to represent them, are
                   5469: determined by the `title` and @ref{with} options of the @{`s`@}@ref{plot} command.
                   5470: Please see `plot title` and @ref{with} for more information.
                   5471:
                   5472: Syntax:
                   5473: @example
                   5474:       set key @{  left | right | top | bottom | outside | below
                   5475:                | <position>@}
                   5476:               @{Left | Right@} @{@{no@}reverse@}
                   5477:               @{samplen <sample_length>@} @{spacing <vertical_spacing>@}
                   5478:               @{width <width_increment>@}
                   5479:               @{title "<text>"@}
                   5480:               @{@{no@}box @{ @{linestyle | ls <line_style>@}
                   5481:                          | @{linetype | lt <line_type>@}
                   5482:                            @{linewidth | lw <line_width>@}@}@}
                   5483:       set nokey
                   5484:       show key
                   5485:
                   5486: @end example
                   5487:
                   5488: By default the key is placed in the upper right corner of the graph.  The
                   5489: keywords `left`, `right`, `top`, `bottom`, `outside` and `below` may be used
                   5490: to place the key in the other corners inside the graph or to the right
                   5491: (outside) or below the graph.  They may be given alone or combined.
                   5492:
                   5493: Justification of the labels within the key is controlled by `Left` or `Right`
                   5494: (default is `Right`).  The text and sample can be reversed (`reverse`) and a
                   5495: box can be drawn around the key (`box @{...@}`) in a specified `linetype`
                   5496: and `linewidth`, or a user-defined @ref{linestyle}. Note that not all
                   5497: terminal drivers support linewidth selection, though.
                   5498:
                   5499: The length of the sample line can be controlled by `samplen`.  The sample
                   5500: length is computed as the sum of the tic length and <sample_length> times the
                   5501: character width.  `samplen` also affects the positions of point samples in
                   5502: the key since these are drawn at the midpoint of the sample line, even if it
                   5503: is not drawn.  <sample_length> must be an integer.
                   5504:
                   5505: The vertical spacing between lines is controlled by `spacing`.  The spacing
                   5506: is set equal to the product of the pointsize, the vertical tic size, and
                   5507: <vertical_spacing>.  The program will guarantee that the vertical spacing is
                   5508: no smaller than the character height.
                   5509:
                   5510: The <width_increment> is a number of character widths to be added to or
                   5511: subtracted from the length of the string.  This is useful only when you are
                   5512: putting a box around the key and you are using control characters in the text.
                   5513: `gnuplot` simply counts the number of characters in the string when computing
                   5514: the box width; this allows you to correct it.
                   5515:
                   5516: A title can be put on the key (`title "<text>"`)---see also `syntax` for the
                   5517: distinction between text in single- or double-quotes.  The key title uses the
                   5518: same justification as do the plot titles.
                   5519:
                   5520: The defaults for @ref{key} are `right`, `top`, `Right`, `noreverse`, `samplen
                   5521: 4`, `spacing 1.25`, `title ""`, and `nobox`.  The default <linetype> is the
                   5522: same as that used for the plot borders.  Entering @ref{key} with no options
                   5523: returns the key to its default configuration.
                   5524:
                   5525: The <position> can be a simple x,y,z as in previous versions, but these can
                   5526: be preceded by one of four keywords (`first`, `second`, `graph`, `screen`)
                   5527: which selects the coordinate system in which the position is specified.  See
                   5528: `coordinates` for more details.
                   5529:
                   5530: The key is drawn as a sequence of lines, with one plot described on each
                   5531: line.  On the right-hand side (or the left-hand side, if `reverse` is
                   5532: selected) of each line is a representation that attempts to mimic the way the
                   5533: curve is plotted.  On the other side of each line is the text description
                   5534: (the line title), obtained from the @ref{plot} command.  The lines are vertically
                   5535: arranged so that an imaginary straight line divides the left- and right-hand
                   5536: sides of the key.  It is the coordinates of the top of this line that are
                   5537: specified with the @ref{key} command.  In a @ref{plot}, only the x and y
                   5538: coordinates are used to specify the line position.  For a `splot`, x, y and
                   5539: z are all used as a 3-d location mapped using the same mapping as the graph
                   5540: itself to form the required 2-d screen position of the imaginary line.
                   5541:
                   5542: Some or all of the key may be outside of the graph boundary, although this
                   5543: may interfere with other labels and may cause an error on some devices.  If
                   5544: you use the keywords `outside` or `below`, `gnuplot` makes space for the keys
                   5545: and the graph becomes smaller.  Putting keys outside to the right, they
                   5546: occupy as few columns as possible, and putting them below, as many columns as
                   5547: possible (depending of the length of the labels), thus stealing as little
                   5548: space from the graph as possible.
                   5549:
                   5550: When using the TeX or PostScript drivers, or similar drivers where formatting
                   5551: information is embedded in the string, `gnuplot` is unable to calculate
                   5552: correctly the width of the string for key positioning.  If the key is to be
                   5553: positioned at the left, it may be convenient to use the combination  `set key
                   5554: left Left reverse`.  The box and gap in the grid will be the width of the
                   5555: literal string.
                   5556:
                   5557: If `splot` is being used to draw contours, the contour labels will be listed
                   5558: in the key.  If the alignment of these labels is poor or a different number
                   5559: of decimal places is desired, the label format can be specified.  See @ref{clabel} for details.
                   5560:
                   5561: Examples:
                   5562:
                   5563: This places the key at the default location:
                   5564: @example
                   5565:       set key
                   5566:
                   5567: @end example
                   5568:
                   5569: This disables the key:
                   5570: @example
                   5571:       set nokey
                   5572:
                   5573: @end example
                   5574:
                   5575: This places a key at coordinates 2,3.5,2 in the default (first) coordinate
                   5576: system:
                   5577: @example
                   5578:       set key 2,3.5,2
                   5579:
                   5580: @end example
                   5581:
                   5582: This places the key below the graph:
                   5583: @example
                   5584:       set key below
                   5585:
                   5586: @end example
                   5587:
                   5588: This places the key in the bottom left corner, left-justifies the text,
                   5589: gives it a title, and draws a box around it in linetype 3:
                   5590: @example
                   5591:       set key left bottom Left title 'Legend' box 3
                   5592:
                   5593: @end example
                   5594:
                   5595: @node label, linestyle, key, set-show
                   5596: @subsection label
                   5597:
                   5598: @c ?commands set label
                   5599: @c ?commands set nolabel
                   5600: @c ?commands show label
                   5601: @c ?set label
                   5602: @c ?set nolabel
                   5603: @c ?show label
                   5604: @cindex label
                   5605: @opindex label
                   5606:
                   5607:
                   5608: @cindex nolabel
                   5609:
                   5610: Arbitrary labels can be placed on the plot using the @ref{label} command.
                   5611:
                   5612: Syntax:
                   5613: @example
                   5614:       set label @{<tag>@} @{"<label_text>"@} @{at <position>@}
                   5615:                 @{<justification>@} @{@{no@}rotate@} @{font "<name><,size>"@}
                   5616:       set nolabel @{<tag>@}
                   5617:       show label
                   5618:
                   5619: @end example
                   5620:
                   5621: The <position> is specified by either x,y or x,y,z, and may be preceded by
                   5622: `first`, `second`, `graph`, or `screen` to select the coordinate system.
                   5623: See `coordinates` for details.
                   5624:
                   5625: The tag is an integer that is used to identify the label. If no <tag> is
                   5626: given, the lowest unused tag value is assigned automatically.  The tag can be
                   5627: used to delete or modify a specific label.  To change any attribute of an
                   5628: existing label, use the @ref{label} command with the appropriate tag, and
                   5629: specify the parts of the label to be changed.
                   5630:
                   5631: By default, the text is placed flush left against the point x,y,z.  To adjust
                   5632: the way the label is positioned with respect to the point x,y,z, add the
                   5633: parameter <justification>, which may be `left`, `right` or `center`,
                   5634: indicating that the point is to be at the left, right or center of the text.
                   5635: Labels outside the plotted boundaries are permitted but may interfere with
                   5636: axis labels or other text.
                   5637:
                   5638: If `rotate` is given, the label is written vertically (if the terminal can do
                   5639: so, of course).
                   5640:
                   5641: If one (or more) axis is timeseries, the appropriate coordinate should be
                   5642: given as a quoted time string according to the @ref{timefmt} format string.  See
                   5643: @ref{xdata} and @ref{timefmt}.
                   5644:
                   5645: The EEPIC, Imagen, LaTeX, and TPIC drivers allow \\ in a string to specify
                   5646: a newline.
                   5647:
                   5648: Examples:
                   5649:
                   5650: To set a label at (1,2) to "y=x", use:
                   5651: @example
                   5652:       set label "y=x" at 1,2
                   5653:
                   5654: @end example
                   5655:
                   5656: To set a Sigma of size 24, from the Symbol font set, at the center of
                   5657: the graph, use:
                   5658: @example
                   5659:       set label "S" at graph 0.5,0.5 center font "Symbol,24"
                   5660:
                   5661: @end example
                   5662:
                   5663: To set a label "y=x^2" with the right of the text at (2,3,4), and tag the
                   5664: label as number 3, use:
                   5665: @example
                   5666:       set label 3 "y=x^2" at 2,3,4 right
                   5667:
                   5668: @end example
                   5669:
                   5670: To change the preceding label to center justification, use:
                   5671: @example
                   5672:       set label 3 center
                   5673:
                   5674: @end example
                   5675:
                   5676: To delete label number 2, use:
                   5677: @example
                   5678:       set nolabel 2
                   5679:
                   5680: @end example
                   5681:
                   5682: To delete all labels, use:
                   5683: @example
                   5684:       set nolabel
                   5685:
                   5686: @end example
                   5687:
                   5688: To show all labels (in tag order), use:
                   5689: @example
                   5690:       show label
                   5691:
                   5692: @end example
                   5693:
                   5694: To set a label on a graph with a timeseries on the x axis, use, for example:
                   5695: @example
                   5696:       set timefmt "%d/%m/%y,%H:%M"
                   5697:       set label "Harvest" at "25/8/93",1
                   5698:
                   5699: @end example
                   5700:
                   5701: @node linestyle, lmargin, label, set-show
                   5702: @subsection linestyle
                   5703:
                   5704: @c ?commands set linestyle
                   5705: @c ?commands set nolinestyle
                   5706: @c ?commands show linestyle
                   5707: @c ?set linestyle
                   5708: @c ?set nolinestyle
                   5709: @c ?show linestyle
                   5710: @cindex linestyle
                   5711: @opindex linestyle
                   5712:
                   5713:
                   5714: Each terminal has a default set of line and point types, which can be seen
                   5715: by using the command @ref{test}.  @ref{linestyle} defines a set of line types
                   5716: and widths and point types and sizes so that you can refer to them later by
                   5717: an index instead of repeating all the information at each invocation.
                   5718:
                   5719: Syntax:
                   5720: @example
                   5721:       set linestyle <index> @{linetype | lt <line_type>@}
                   5722:                             @{linewidth | lw <line_width>@}
                   5723:                             @{pointtype | pt <point_type>@}
                   5724:                             @{pointsize | ps <point_size>@}
                   5725:       set nolinestyle
                   5726:       show linestyle
                   5727:
                   5728: @end example
                   5729:
                   5730: The line and point types are taken from the default types for the terminal
                   5731: currently in use.  The line width and point size are multipliers for the
                   5732: default width and size (but note that <point_size> here is unaffected by
                   5733: the multiplier given on 'set pointsize').
                   5734:
                   5735: The defaults for the line and point types is the index.  The defaults for
                   5736: the width and size are both unity.
                   5737:
                   5738: Linestyles created by this mechanism do not replace the default styles;
                   5739: both may be used.
                   5740:
                   5741: Not all terminals support the `linewidth` and @ref{pointsize} features; if
                   5742: not supported, the option will be ignored.
                   5743:
                   5744: Note that this feature is not completely implemented; linestyles defined by
                   5745: this mechanism may be used with 'plot', 'splot', 'replot', and 'set arrow',
                   5746: but not by other commands that allow the default index to be used, such as
                   5747: 'set grid'.
                   5748:
                   5749: Example:
                   5750: Suppose that the default lines for indices 1, 2, and 3 are red, green, and
                   5751: blue, respectively, and the default point shapes for the same indices are a
                   5752: square, a cross, and a triangle, respectively.  Then
                   5753:
                   5754: @example
                   5755:       set linestyle 1 lt 2 lw 2 pt 3 ps 0.5
                   5756:
                   5757: @end example
                   5758:
                   5759: defines a new linestyle that is green and twice the default width and a new
                   5760: pointstyle that is a half-sized triangle.  The commands
                   5761:
                   5762: @example
                   5763:       set function style lines
                   5764:       plot f(x) lt 3, g(x) ls 1
                   5765:
                   5766: @end example
                   5767:
                   5768: will create a plot of f(x) using the default blue line and a plot of g(x)
                   5769: using the user-defined wide green line.  Similarly the commands
                   5770:
                   5771: @example
                   5772:       set function style linespoints
                   5773:       plot p(x) lt 1 pt 3, q(x) ls 1
                   5774:
                   5775: @end example
                   5776:
                   5777: will create a plot of f(x) using the default triangles connected by a red
                   5778: line and q(x) using small triangles connected by a green line.
                   5779:
                   5780: @node lmargin, locale, linestyle, set-show
                   5781: @subsection lmargin
                   5782:
                   5783: @c ?commands set lmargin
                   5784: @c ?set lmargin
                   5785: @cindex lmargin
                   5786: @opindex lmargin
                   5787:
                   5788:
                   5789: The command @ref{lmargin} sets the size of the left margin.  Please see
                   5790: @ref{margin} for details.
                   5791:
                   5792: @node locale, logscale, lmargin, set-show
                   5793: @subsection locale
                   5794:
                   5795: @c ?commands set locale
                   5796: @c ?commands show logscale
                   5797: @c ?set locale
                   5798: @c ?show logscale
                   5799: @cindex locale
                   5800: @opindex locale
                   5801:
                   5802:
                   5803: The @ref{locale} setting determines the language with which `@{x,y,z@}@{d,m@}tics`
                   5804: will write the days and months.
                   5805:
                   5806: Syntax:
                   5807: @example
                   5808:       set locale @{"<locale>"@}
                   5809:
                   5810: @end example
                   5811:
                   5812: <locale> may be any language designation acceptable to your installation.
                   5813: See your system documentation for the available options.  The default value
                   5814: is determined from the LANG environment variable.
                   5815:
                   5816: @node logscale, mapping, locale, set-show
                   5817: @subsection logscale
                   5818:
                   5819: @c ?commands set logscale
                   5820: @c ?commands set nologscale
                   5821: @c ?commands show logscale
                   5822: @c ?set logscale
                   5823: @c ?set nologscale
                   5824: @c ?show logscale
                   5825: @cindex logscale
                   5826: @opindex logscale
                   5827:
                   5828:
                   5829: @cindex nologscale
                   5830:
                   5831: Log scaling may be set on the x, y, z, x2 and/or y2 axes.
                   5832:
                   5833: Syntax:
                   5834: @example
                   5835:       set logscale <axes> <base>
                   5836:       set nologscale <axes>
                   5837:       show logscale
                   5838:
                   5839: @end example
                   5840:
                   5841: where <axes> may be any combinations of `x`, `y`, and `z`, in any order, or
                   5842: `x2` or `y2` and where <base> is the base of the log scaling.  If <base> is
                   5843: not given, then 10 is assumed.  If <axes> is not given, then all axes are
                   5844: assumed.  `set nologscale` turns off log scaling for the specified axes.
                   5845:
                   5846: Examples:
                   5847:
                   5848: To enable log scaling in both x and z axes:
                   5849: @example
                   5850:       set logscale xz
                   5851:
                   5852: @end example
                   5853:
                   5854: To enable scaling log base 2 of the y axis:
                   5855: @example
                   5856:       set logscale y 2
                   5857:
                   5858: @end example
                   5859:
                   5860: To disable z axis log scaling:
                   5861: @example
                   5862:       set nologscale z
                   5863:
                   5864: @end example
                   5865:
                   5866: @node mapping, margin, logscale, set-show
                   5867: @subsection mapping
                   5868:
                   5869: @c ?commands set mapping
                   5870: @c ?commands show mapping
                   5871: @c ?set mapping
                   5872: @c ?show mapping
                   5873: @cindex mapping
                   5874: @opindex mapping
                   5875:
                   5876:
                   5877: If data are provided to `splot` in spherical or cylindrical coordinates,
                   5878: the @ref{mapping} command should be used to instruct `gnuplot` how to
                   5879: interpret them.
                   5880:
                   5881: Syntax:
                   5882: @example
                   5883:       set mapping @{cartesian | spherical | cylindrical@}
                   5884:
                   5885: @end example
                   5886:
                   5887: A cartesian coordinate system is used by default.
                   5888:
                   5889: For a spherical coordinate system, the data occupy two or three columns (or
                   5890: @ref{using} entries).  The first two are interpreted as the polar and azimuthal
                   5891: angles theta and phi (in the units specified by @ref{angles}).  The radius r
                   5892: is taken from the third column if there is one, or is set to unity if there
                   5893: is no third column.  The mapping is:
                   5894:
                   5895: @example
                   5896:       x = r * cos(theta) * cos(phi)
                   5897:       y = r * sin(theta) * cos(phi)
                   5898:       z = r * sin(phi)
                   5899:
                   5900: @end example
                   5901:
                   5902: Note that this is a "geographic" spherical system, rather than a "polar" one.
                   5903:
                   5904: For a cylindrical coordinate system, the data again occupy two or three
                   5905: columns.  The first two are interpreted as theta (in the units specified by
                   5906: @ref{angles}) and z.  The radius is either taken from the third column or set
                   5907: to unity, as in the spherical case.  The mapping is:
                   5908:
                   5909: @example
                   5910:       x = r * cos(theta)
                   5911:       y = r * sin(theta)
                   5912:       z = z
                   5913:
                   5914: @end example
                   5915:
                   5916: The effects of @ref{mapping} can be duplicated with the @ref{using} filter on the
                   5917: `splot` command, but @ref{mapping} may be more convenient if many data files are
                   5918: to be processed.  However even if @ref{mapping} is used, @ref{using} may still be
                   5919: necessary if the data in the file are not in the required order.
                   5920:
                   5921: @ref{mapping} has no effect on @ref{plot}.
                   5922: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/world.html,Mapping Demos.}
                   5923:
                   5924: @node margin, missing, mapping, set-show
                   5925: @subsection margin
                   5926:
                   5927: @c ?commands set margin
                   5928: @c ?commands show margin
                   5929: @c ?set margin
                   5930: @c ?show margin
                   5931: @cindex margin
                   5932: @opindex margin
                   5933:
                   5934:
                   5935: The computed margins can be overridden by the @ref{margin} commands.  @ref{margin} shows the current settings.
                   5936:
                   5937: Syntax:
                   5938: @example
                   5939:       set bmargin @{<margin>@}
                   5940:       set lmargin @{<margin>@}
                   5941:       set rmargin @{<margin>@}
                   5942:       set tmargin @{<margin>@}
                   5943:       show margin
                   5944:
                   5945: @end example
                   5946:
                   5947: The units of <margin> are character heights or widths, as appropriate.  A
                   5948: positive value defines the absolute size of the margin.  A negative value
                   5949: (or none) causes `gnuplot` to revert to the computed value.
                   5950:
                   5951: Normally the margins of a plot are automatically calculated based on tics,
                   5952: tic labels, axis labels, the plot title, the timestamp and the size of the
                   5953: key if it is outside the borders.  If, however, tics are attached to the
                   5954: axes (`set xtics axis`, for example), neither the tics themselves nor their
                   5955: labels will be included in either the margin calculation or the calculation
                   5956: of the positions of other text to be written in the margin.  This can lead
                   5957: to tic labels overwriting other text if the axis is very close to the border.
                   5958:
                   5959: @node missing, multiplot, margin, set-show
                   5960: @subsection missing
                   5961:
                   5962: @c ?commands set missing
                   5963: @c ?set missing
                   5964: @cindex missing
                   5965: @opindex missing
                   5966:
                   5967:
                   5968: The @ref{missing} command allows you to tell `gnuplot` what character is
                   5969: used in a data file to denote missing data.
                   5970:
                   5971: Syntax:
                   5972: @example
                   5973:       set missing @{"<character>"@}
                   5974:       show missing
                   5975:
                   5976: @end example
                   5977:
                   5978: Example:
                   5979: @example
                   5980:       set missing "?"
                   5981:
                   5982: @end example
                   5983:
                   5984: would mean that, when plotting a file containing
                   5985:
                   5986: @example
                   5987:          1 1
                   5988:          2 ?
                   5989:          3 2
                   5990:
                   5991: @end example
                   5992:
                   5993: the middle line would be ignored.
                   5994:
                   5995: There is no default character for @ref{missing}.
                   5996:
                   5997: @node multiplot, mx2tics, missing, set-show
                   5998: @subsection multiplot
                   5999:
                   6000: @c ?commands set multiplot
                   6001: @c ?commands set nomultiplot
                   6002: @c ?set multiplot
                   6003: @c ?set nomultiplot
                   6004: @cindex multiplot
                   6005: @opindex multiplot
                   6006:
                   6007:
                   6008: @cindex nomultiplot
                   6009:
                   6010: The command @ref{multiplot} places `gnuplot` in the multiplot mode, in which
                   6011: several plots are placed on the same page, window, or screen.
                   6012:
                   6013: Syntax:
                   6014: @example
                   6015:       set multiplot
                   6016:       set nomultiplot
                   6017:
                   6018: @end example
                   6019:
                   6020: For some terminals, no plot is displayed until the command `set nomultiplot`
                   6021: is given, which causes the entire page to be drawn and then returns `gnuplot`
                   6022: to its normal single-plot mode.  For other terminals, each separate @ref{plot}
                   6023: command produces a plot, but the screen may not be cleared between plots.
                   6024:
                   6025: Any labels or arrows that have been defined will be drawn for each plot
                   6026: according to the current size and origin (unless their coordinates are
                   6027: defined in the `screen` system).  Just about everything else that can be
                   6028: `set` is applied to each plot, too.  If you want something to appear only
                   6029: once on the page, for instance a single time stamp, you'll need to put a `set
                   6030: time`/`set notime` pair around one of the @ref{plot}, `splot` or @ref{replot}
                   6031: commands within the @ref{multiplot}/`set nomultiplot` block.
                   6032:
                   6033: The commands @ref{origin} and @ref{size} must be used to correctly position
                   6034: each plot; see @ref{origin} and @ref{size} for details of their usage.
                   6035:
                   6036: Example:
                   6037: @example
                   6038:       set size 0.7,0.7
                   6039:       set origin 0.1,0.1
                   6040:       set multiplot
                   6041:       set size 0.4,0.4
                   6042:       set origin 0.1,0.1
                   6043:       plot sin(x)
                   6044:       set size 0.2,0.2
                   6045:       set origin 0.5,0.5
                   6046:       plot cos(x)
                   6047:       set nomultiplot
                   6048:
                   6049: @end example
                   6050:
                   6051: displays a plot of cos(x) stacked above a plot of sin(x).  Note the initial
                   6052: @ref{size} and @ref{origin}.  While these are not always required, their
                   6053: inclusion is recommended.  Some terminal drivers require that bounding box
                   6054: information be available before any plots can be made, and the form given
                   6055: above guarantees that the bounding box will include the entire plot array
                   6056: rather than just the bounding box of the first plot.
                   6057:
                   6058: @ref{size} and @ref{origin} refer to the entire plotting area used for each
                   6059: plot.  If you want to have the axes themselves line up, you can guarantee
                   6060: that the margins are the same size with the @ref{margin} commands.  See
                   6061: @ref{margin} for their use.  Note that the margin settings are absolute,
                   6062: in character units, so the appearance of the graph in the remaining space
                   6063: will depend on the screen size of the display device, e.g., perhaps quite
                   6064: different on a video display and a printer.
                   6065: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/multiplt.html,See demo. }
                   6066:
                   6067: @node mx2tics, mxtics, multiplot, set-show
                   6068: @subsection mx2tics
                   6069:
                   6070: @c ?commands set mx2tics
                   6071: @c ?commands set nomx2tics
                   6072: @c ?commands show mx2tics
                   6073: @c ?set mx2tics
                   6074: @c ?set nomx2tics
                   6075: @c ?show mx2tics
                   6076: @cindex mx2tics
                   6077: @opindex mx2tics
                   6078:
                   6079:
                   6080: @cindex nomx2tics
                   6081:
                   6082: Minor tic marks along the x2 (top) axis are controlled by @ref{mx2tics}.
                   6083: Please see @ref{mxtics}.
                   6084:
                   6085: @node mxtics, my2tics, mx2tics, set-show
                   6086: @subsection mxtics
                   6087:
                   6088: @c ?commands set mxtics
                   6089: @c ?commands set nomxtics
                   6090: @c ?commands show mxtics
                   6091: @c ?set mxtics
                   6092: @c ?set nomxtics
                   6093: @c ?show mxtics
                   6094: @cindex mxtics
                   6095: @opindex mxtics
                   6096:
                   6097:
                   6098: @cindex nomxtics
                   6099:
                   6100: Minor tic marks along the x axis are controlled by @ref{mxtics}.  They can be
                   6101: turned off with `set nomxtics`.  Similar commands control minor tics along
                   6102: the other axes.
                   6103:
                   6104: Syntax:
                   6105: @example
                   6106:       set mxtics @{<freq> | default@}
                   6107:       set nomxtics
                   6108:       show mxtics
                   6109:
                   6110: @end example
                   6111:
                   6112: The same syntax applies to @ref{mytics}, @ref{mztics}, @ref{mx2tics} and @ref{my2tics}.
                   6113:
                   6114: <freq> is the number of sub-intervals (NOT the number of minor tics) between
                   6115: major tics (ten is the default for a linear axis, so there are nine minor
                   6116: tics between major tics). Selecting `default` will return the number of minor
                   6117: ticks to its default value.
                   6118:
                   6119: If the axis is logarithmic, the number of sub-intervals will be set to a
                   6120: reasonable number by default (based upon the length of a decade).  This will
                   6121: be overridden if <freq> is given.  However the usual minor tics (2, 3, ...,
                   6122: 8, 9 between 1 and 10, for example) are obtained by setting <freq> to 10,
                   6123: even though there are but nine sub-intervals.
                   6124:
                   6125: Minor tics can be used only with uniformly spaced major tics.  Since major
                   6126: tics can be placed arbitrarily by `set @{x|x2|y|y2|z@}tics`, minor tics cannot
                   6127: be used if major tics are explicitly `set`.
                   6128:
                   6129: By default, minor tics are off for linear axes and on for logarithmic axes.
                   6130: They inherit the settings for `axis|border` and `@{no@}mirror` specified for
                   6131: the major tics.  Please see @ref{xtics} for information about these.
                   6132:
                   6133: @node my2tics, mytics, mxtics, set-show
                   6134: @subsection my2tics
                   6135:
                   6136: @c ?commands set my2tics
                   6137: @c ?commands set nomy2tics
                   6138: @c ?commands show my2tics
                   6139: @c ?set my2tics
                   6140: @c ?set nomy2tics
                   6141: @c ?show my2tics
                   6142: @cindex my2tics
                   6143: @opindex my2tics
                   6144:
                   6145:
                   6146: @cindex nomy2tics
                   6147:
                   6148: Minor tic marks along the y2 (right-hand) axis are controlled by @ref{my2tics}.  Please see @ref{mxtics}.
                   6149:
                   6150: @node mytics, mztics, my2tics, set-show
                   6151: @subsection mytics
                   6152:
                   6153: @c ?commands set mytics
                   6154: @c ?commands set nomytics
                   6155: @c ?commands show mytics
                   6156: @c ?set mytics
                   6157: @c ?set nomytics
                   6158: @c ?show mytics
                   6159: @cindex mytics
                   6160: @opindex mytics
                   6161:
                   6162:
                   6163: @cindex nomytics
                   6164:
                   6165: Minor tic marks along the y axis are controlled by @ref{mytics}.  Please
                   6166: see @ref{mxtics}.
                   6167:
                   6168: @node mztics, offsets, mytics, set-show
                   6169: @subsection mztics
                   6170:
                   6171: @c ?commands set mztics
                   6172: @c ?commands set nomztics
                   6173: @c ?commands show mztics
                   6174: @c ?set mztics
                   6175: @c ?set nomztics
                   6176: @c ?show mztics
                   6177: @cindex mztics
                   6178: @opindex mztics
                   6179:
                   6180:
                   6181: @cindex nomztics
                   6182:
                   6183: Minor tic marks along the z axis are controlled by @ref{mztics}.  Please
                   6184: see @ref{mxtics}.
                   6185:
                   6186: @node offsets, origin, mztics, set-show
                   6187: @subsection offsets
                   6188:
                   6189: @c ?commands set offsets
                   6190: @c ?commands set nooffsets
                   6191: @c ?commands show offsets
                   6192: @c ?set offsets
                   6193: @c ?set nooffsets
                   6194: @c ?show offsets
                   6195: @cindex offsets
                   6196: @opindex offsets
                   6197:
                   6198:
                   6199: @cindex nooffsets
                   6200:
                   6201: Offsets provide a mechanism to put a boundary around the data inside of an
                   6202: autoscaled graph.
                   6203:
                   6204: Syntax:
                   6205: @example
                   6206:       set offsets <left>, <right>, <top>, <bottom>
                   6207:       set nooffsets
                   6208:       show offsets
                   6209:
                   6210: @end example
                   6211:
                   6212: Each offset may be a constant or an expression.  Each defaults to 0.  Left
                   6213: and right offsets are given in units of the x axis, top and bottom offsets in
                   6214: units of the y axis.  A positive offset expands the graph in the specified
                   6215: direction, e.g., a positive bottom offset makes ymin more negative.  Negative
                   6216: offsets, while permitted, can have unexpected interactions with autoscaling
                   6217: and clipping.
                   6218:
                   6219: Offsets are ignored in `splot`s.
                   6220:
                   6221: Example:
                   6222: @example
                   6223:       set offsets 0, 0, 2, 2
                   6224:       plot sin(x)
                   6225:
                   6226: @end example
                   6227:
                   6228: This graph of sin(x) will have a y range [-3:3] because the function
                   6229: will be autoscaled to [-1:1] and the vertical offsets are each two.
                   6230:
                   6231: @node origin, output, offsets, set-show
                   6232: @subsection origin
                   6233:
                   6234: @c ?commands set origin
                   6235: @c ?commands show origin
                   6236: @c ?set origin
                   6237: @c ?show origin
                   6238: @cindex origin
                   6239: @opindex origin
                   6240:
                   6241:
                   6242: The @ref{origin} command is used to specify the origin of a plotting surface
                   6243: (i.e., the graph and its margins) on the screen.  The coordinates are given
                   6244: in the `screen` coordinate system (see `coordinates` for information about
                   6245: this system).
                   6246:
                   6247: Syntax:
                   6248: @example
                   6249:       set origin <x-origin>,<y-origin>
                   6250:
                   6251: @end example
                   6252:
                   6253: @node output, parametric_, origin, set-show
                   6254: @subsection output
                   6255:
                   6256: @c ?commands set output
                   6257: @c ?commands show output
                   6258: @c ?set output
                   6259: @c ?show output
                   6260: @cindex output
                   6261: @opindex output
                   6262:
                   6263:
                   6264: By default, screens are displayed to the standard output. The @ref{output}
                   6265: command redirects the display to the specified file or device.
                   6266:
                   6267: Syntax:
                   6268: @example
                   6269:       set output @{"<filename>"@}
                   6270:       show output
                   6271:
                   6272: @end example
                   6273:
                   6274: The filename must be enclosed in quotes.  If the filename is omitted, any
                   6275: output file opened by a previous invocation of @ref{output} will be closed
                   6276: and new output will be sent to STDOUT.  (If you give the command `set output
                   6277: "STDOUT"`, your output may be sent to a file named "STDOUT"!  ["May be", not
                   6278: "will be", because some terminals, like `x11`, ignore @ref{output}.])
                   6279:
                   6280: MSDOS users should note that the \ character has special significance in
                   6281: double-quoted strings, so single-quotes should be used for filenames in
                   6282: different directories.
                   6283:
                   6284: When both @ref{terminal} and @ref{output} are used together, it is safest to
                   6285: give @ref{terminal} first, because some terminals set a flag which is needed
                   6286: in some operating systems.  This would be the case, for example, if the
                   6287: operating system needs to know whether or not a file is to be formatted in
                   6288: order to open it properly.
                   6289:
                   6290: On machines with popen functions (Unix), output can be piped through a shell
                   6291: command if the first non-whitespace character of the filename is '|'.
                   6292: For instance,
                   6293:
                   6294: @example
                   6295:       set output "|lpr -Plaser filename"
                   6296:       set output "|lp -dlaser filename"
                   6297:
                   6298: @end example
                   6299:
                   6300: On MSDOS machines, `set output "PRN"` will direct the output to the default
                   6301: printer.  On VMS, output can be sent directly to any spooled device.  It is
                   6302: also possible to send the output to DECnet transparent tasks, which allows
                   6303: some flexibility.
                   6304:
                   6305: @node parametric_, pointsize, output, set-show
                   6306: @subsection parametric
                   6307:
                   6308: @c ?commands set parametric
                   6309: @c ?commands set noparametric
                   6310: @c ?commands show parametric
                   6311: @c ?set parametric
                   6312: @c ?set noparametric
                   6313: @c ?show parametric
                   6314: @cindex parametric
                   6315: @opindex parametric
                   6316:
                   6317:
                   6318: @cindex noparametric
                   6319:
                   6320: The `set parametric` command changes the meaning of @ref{plot} (`splot`) from
                   6321: normal functions to parametric functions.  The command `set noparametric`
                   6322: restores the plotting style to normal, single-valued expression plotting.
                   6323:
                   6324: Syntax:
                   6325: @example
                   6326:       set parametric
                   6327:       set noparametric
                   6328:       show parametric
                   6329:
                   6330: @end example
                   6331:
                   6332: For 2-d plotting, a parametric function is determined by a pair of parametric
                   6333: functions operating on a parameter.  An example of a 2-d parametric function
                   6334: would be `plot sin(t),cos(t)`, which draws a circle (if the aspect ratio is
                   6335: set correctly---see @ref{size}).  `gnuplot` will display an error message if
                   6336: both functions are not provided for a parametric @ref{plot}.
                   6337:
                   6338: For 3-d plotting, the surface is described as x=f(u,v), y=g(u,v), z=h(u,v).
                   6339: Therefore a triplet of functions is required.  An example of a 3-d parametric
                   6340: function would be `cos(u)*cos(v),cos(u)*sin(v),sin(u)`, which draws a sphere.
                   6341: `gnuplot` will display an error message if all three functions are not
                   6342: provided for a parametric `splot`.
                   6343:
                   6344: The total set of possible plots is a superset of the simple f(x) style plots,
                   6345: since the two functions can describe the x and y values to be computed
                   6346: separately.  In fact, plots of the type t,f(t) are equivalent to those
                   6347: produced with f(x) because the x values are computed using the identity
                   6348: function.  Similarly, 3-d plots of the type u,v,f(u,v) are equivalent to
                   6349: f(x,y).
                   6350:
                   6351: Note that the order the parametric functions are specified is xfunction,
                   6352: yfunction (and zfunction) and that each operates over the common parametric
                   6353: domain.
                   6354:
                   6355: Also, the `set parametric` function implies a new range of values.  Whereas
                   6356: the normal f(x) and f(x,y) style plotting assume an xrange and yrange (and
                   6357: zrange), the parametric mode additionally specifies a trange, urange, and
                   6358: vrange.  These ranges may be set directly with @ref{trange}, @ref{urange},
                   6359: and @ref{vrange}, or by specifying the range on the @ref{plot} or `splot`
                   6360: commands.  Currently the default range for these parametric variables is
                   6361: [-5:5].  Setting the ranges to something more meaningful is expected.
                   6362:
                   6363: @node pointsize, polar, parametric_, set-show
                   6364: @subsection pointsize
                   6365:
                   6366: @c ?commands set pointsize
                   6367: @c ?commands show pointsize
                   6368: @c ?set pointsize
                   6369: @c ?show pointsize
                   6370: @cindex pointsize
                   6371: @opindex pointsize
                   6372:
                   6373:
                   6374: The @ref{pointsize} command scales the size of the points used in plots.
                   6375:
                   6376: Syntax:
                   6377: @example
                   6378:       set pointsize <multiplier>
                   6379:       show pointsize
                   6380:
                   6381: @end example
                   6382:
                   6383: The default is a multiplier of 1.0.  Larger pointsizes may be useful to
                   6384: make points more visible in bitmapped graphics.
                   6385:
                   6386: The pointsize of a single plot may be changed on the @ref{plot} command.  See
                   6387: @ref{with} for details.
                   6388:
                   6389: Please note that the pointsize setting is not supported by all terminal
                   6390: types.
                   6391:
                   6392: @node polar, rmargin, pointsize, set-show
                   6393: @subsection polar
                   6394:
                   6395: @c ?commands set polar
                   6396: @c ?commands set nopolar
                   6397: @c ?commands show polar
                   6398: @c ?set polar
                   6399: @c ?set nopolar
                   6400: @c ?show polar
                   6401: @cindex polar
                   6402: @opindex polar
                   6403:
                   6404:
                   6405: @cindex nopolar
                   6406:
                   6407: The `set polar` command changes the meaning of the plot from rectangular
                   6408: coordinates to polar coordinates.
                   6409:
                   6410: Syntax:
                   6411: @example
                   6412:       set polar
                   6413:       set nopolar
                   6414:       show polar
                   6415:
                   6416: @end example
                   6417:
                   6418: There have been changes made to polar mode in version 3.7, so that scripts
                   6419: for `gnuplot` versions 3.5 and earlier will require modification.  The main
                   6420: change is that the dummy variable t is used for the angle so that the x and
                   6421: y ranges can be controlled independently.  Other changes are:
                   6422: 1) tics are no longer put along the zero axes automatically
                   6423: ---use `set xtics axis nomirror`; `set ytics axis nomirror`;
                   6424: 2) the grid, if selected, is not automatically polar
                   6425: ---use `set grid polar`;
                   6426: 3) the grid is not labelled with angles
                   6427: ---use @ref{label} as necessary.
                   6428:
                   6429: In polar coordinates, the dummy variable (t) is an angle.  The default range
                   6430: of t is [0:2*pi], or, if degree units have been selected, to [0:360] (see
                   6431: @ref{angles}).
                   6432:
                   6433: The command `set nopolar` changes the meaning of the plot back to the default
                   6434: rectangular coordinate system.
                   6435:
                   6436: The `set polar` command is not supported for `splot`s.  See the @ref{mapping}
                   6437: command for similar functionality for `splot`s.
                   6438:
                   6439: While in polar coordinates the meaning of an expression in t is really
                   6440: r = f(t), where t is an angle of rotation.  The trange controls the domain
                   6441: (the angle) of the function, and the x and y ranges control the range of the
                   6442: graph in the x and y directions.  Each of these ranges, as well as the
                   6443: rrange, may be autoscaled or set explicitly.  See @ref{xrange} for details
                   6444: of all the `set range` commands.
                   6445:
                   6446: Example:
                   6447: @example
                   6448:       set polar
                   6449:       plot t*sin(t)
                   6450:       plot [-2*pi:2*pi] [-3:3] [-3:3] t*sin(t)
                   6451:
                   6452: @end example
                   6453:
                   6454: The first @ref{plot} uses the default polar angular domain of 0 to 2*pi.  The
                   6455: radius and the size of the graph are scaled automatically.  The second @ref{plot}
                   6456: expands the domain, and restricts the size of the graph to [-3:3] in both
                   6457: directions.
                   6458:
                   6459: You may want to `set size square` to have `gnuplot` try to make the aspect
                   6460: ratio equal to unity, so that circles look circular.
                   6461: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/polar.html,Polar demos }
                   6462: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/poldat.html,Polar Data Plot. }
                   6463:
                   6464: @node rmargin, rrange, polar, set-show
                   6465: @subsection rmargin
                   6466:
                   6467: @c ?commands set rmargin
                   6468: @c ?set rmargin
                   6469: @cindex rmargin
                   6470: @opindex rmargin
                   6471:
                   6472:
                   6473: The command @ref{rmargin} sets the size of the right margin.  Please see
                   6474: @ref{margin} for details.
                   6475:
                   6476: @node rrange, samples, rmargin, set-show
                   6477: @subsection rrange
                   6478:
                   6479: @c ?commands set rrange
                   6480: @c ?commands show rrange
                   6481: @c ?set rrange
                   6482: @c ?show rrange
                   6483: @cindex rrange
                   6484: @opindex rrange
                   6485:
                   6486:
                   6487: The @ref{rrange} command sets the range of the radial coordinate for a
                   6488: graph in polar mode.  Please see @ref{xrange} for details.
                   6489:
                   6490: @node samples, size, rrange, set-show
                   6491: @subsection samples
                   6492:
                   6493: @c ?commands set samples
                   6494: @c ?commands show samples
                   6495: @c ?set samples
                   6496: @c ?show samples
                   6497: @cindex samples
                   6498: @opindex samples
                   6499:
                   6500:
                   6501: The sampling rate of functions, or for interpolating data, may be changed
                   6502: by the @ref{samples} command.
                   6503:
                   6504: Syntax:
                   6505: @example
                   6506:       set samples <samples_1> @{,<samples_2>@}
                   6507:       show samples
                   6508:
                   6509: @end example
                   6510:
                   6511: By default, sampling is set to 100 points.  A higher sampling rate will
                   6512: produce more accurate plots, but will take longer.  This parameter has no
                   6513: effect on data file plotting unless one of the interpolation/approximation
                   6514: options is used.  See @ref{smooth} re 2-d data and @ref{cntrparam} and
                   6515: @ref{dgrid3d} re 3-d data.
                   6516:
                   6517: When a 2-d graph is being done, only the value of <samples_1> is relevant.
                   6518:
                   6519: When a surface plot is being done without the removal of hidden lines, the
                   6520: value of samples specifies the number of samples that are to be evaluated for
                   6521: the isolines.  Each iso-v line will have <sample_1> samples and each iso-u
                   6522: line will have <sample_2> samples.  If you only specify <samples_1>,
                   6523: <samples_2> will be set to the same value as <samples_1>.  See also @ref{isosamples}.
                   6524:
                   6525: @node size, style, samples, set-show
                   6526: @subsection size
                   6527:
                   6528: @c ?commands set size
                   6529: @c ?commands show size
                   6530: @c ?set size
                   6531: @c ?show size
                   6532: @cindex size
                   6533: @opindex size
                   6534:
                   6535:
                   6536: The @ref{size} command scales the displayed size of the plot.
                   6537:
                   6538: Syntax:
                   6539: @example
                   6540:       set size @{@{no@}square | ratio <r> | noratio@} @{<xscale>,<yscale>@}
                   6541:       show size
                   6542:
                   6543: @end example
                   6544:
                   6545: The <xscale> and <yscale> values are the scaling factors for the size of the
                   6546: plot, which includes the graph and the margins.
                   6547:
                   6548: `ratio` causes `gnuplot` to try to create a graph with an aspect ratio of <r>
                   6549: (the ratio of the y-axis length to the x-axis length) within the portion of
                   6550: the plot specified by <xscale> and <yscale>.
                   6551:
                   6552: The meaning of a negative value for <r> is different.  If <r>=-1, gnuplot
                   6553: tries to set the scales so that the unit has the same length on both the x
                   6554: and y axes (suitable for geographical data, for instance).  If <r>=-2, the
                   6555: unit on y has twice the length of the unit on x, and so on.
                   6556:
                   6557: The success of `gnuplot` in producing the requested aspect ratio depends on
                   6558: the terminal selected.  The graph area will be the largest rectangle of
                   6559: aspect ratio <r> that will fit into the specified portion of the output
                   6560: (leaving adequate margins, of course).
                   6561:
                   6562: `square` is a synonym for `ratio 1`.
                   6563:
                   6564: Both `noratio` and `nosquare` return the graph to the default aspect ratio
                   6565: of the terminal, but do not return <xscale> or <yscale> to their default
                   6566: values (1.0).
                   6567:
                   6568: `ratio` and `square` have no effect on 3-d plots.
                   6569:
                   6570: @ref{size} is relative to the default size, which differs from terminal to
                   6571: terminal.  Since `gnuplot` fills as much of the available plotting area as
                   6572: possible by default, it is safer to use @ref{size} to decrease the size of
                   6573: a plot than to increase it.  See @ref{terminal} for the default sizes.
                   6574:
                   6575: On some terminals, changing the size of the plot will result in text being
                   6576: misplaced.
                   6577:
                   6578: Examples:
                   6579:
                   6580: To set the size to normal size use:
                   6581: @example
                   6582:       set size 1,1
                   6583:
                   6584: @end example
                   6585:
                   6586: To make the graph half size and square use:
                   6587: @example
                   6588:       set size square 0.5,0.5
                   6589:
                   6590: @end example
                   6591:
                   6592: To make the graph twice as high as wide use:
                   6593: @example
                   6594:       set size ratio 2
                   6595:
                   6596: @end example
                   6597:
                   6598: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/airfoil.html,See demo. }
                   6599:
                   6600: @node style, surface, size, set-show
                   6601: @subsection style
                   6602:
                   6603: @c ?commands set function style
                   6604: @c ?commands show function style
                   6605: @c ?commands set data style
                   6606: @c ?commands show data style
                   6607: @c ?set function style
                   6608: @c ?show function style
                   6609: @c ?set data style
                   6610: @c ?show data style
                   6611: @c ?set style
                   6612: @c ?show style
                   6613: Default styles are chosen with the @ref{style} and @ref{style}
                   6614: commands.  See @ref{with} for information about how to override the default
                   6615: plotting style for individual functions and data sets.
                   6616:
                   6617: Syntax:
                   6618: @example
                   6619:       set function style <style>
                   6620:       set data style <style>
                   6621:       show function style
                   6622:       show data style
                   6623:
                   6624: @end example
                   6625:
                   6626: The types used for all line and point styles (i.e., solid, dash-dot, color,
                   6627: etc. for lines; circles, squares, crosses, etc. for points) will be either
                   6628: those specified on the @ref{plot} or `splot` command or will be chosen
                   6629: sequentially from the types available to the terminal in use.  Use the
                   6630: command @ref{test} to see what is available.
                   6631:
                   6632: None of the styles requiring more than two columns of information (e.g.,
                   6633: @ref{errorbars}) can be used with `splot`s or function @ref{plot}s.  Neither @ref{boxes}
                   6634: nor any of the @ref{steps} styles can be used with `splot`s.  If an inappropriate
                   6635: style is specified, it will be changed to `points`.
                   6636:
                   6637: For 2-d data with more than two columns, `gnuplot` is picky about the allowed
                   6638: `errorbar` styles.  The @ref{using} option on the @ref{plot} command can be used to
                   6639: set up the correct columns for the style you want.  (In this discussion,
                   6640: "column" will be used to refer both to a column in the data file and an entry
                   6641: in the @ref{using} list.)
                   6642:
                   6643: For three columns, only @ref{xerrorbars}, @ref{yerrorbars} (or @ref{errorbars}), @ref{boxes},
                   6644: and @ref{boxerrorbars} are allowed.  If another plot style is used, the style
                   6645: will be changed to @ref{yerrorbars}.  The @ref{boxerrorbars} style will calculate the
                   6646: boxwidth automatically.
                   6647:
                   6648: For four columns, only @ref{xerrorbars}, @ref{yerrorbars} (or @ref{errorbars}),
                   6649: @ref{xyerrorbars}, @ref{boxxyerrorbars}, and @ref{boxerrorbars} are allowed.  An illegal
                   6650: style will be changed to @ref{yerrorbars}.
                   6651:
                   6652: Five-column data allow only the @ref{boxerrorbars}, @ref{financebars}, and
                   6653: @ref{candlesticks} styles.  (The last two of these are primarily used for plots
                   6654: of financial prices.)  An illegal style will be changed to @ref{boxerrorbars}
                   6655: before plotting.
                   6656:
                   6657: Six- and seven-column data only allow the @ref{xyerrorbars} and @ref{boxxyerrorbars}
                   6658: styles.  Illegal styles will be changed to @ref{xyerrorbars} before plotting.
                   6659:
                   6660: For more information about error bars, please see @ref{errorbars}.
                   6661:
                   6662: @menu
                   6663: * boxerrorbars::
                   6664: * boxes::
                   6665: * boxxyerrorbars::
                   6666: * candlesticks::
                   6667: * dots::
                   6668: * financebars::
                   6669: * fsteps::
                   6670: * histeps::
                   6671: * impulses::
                   6672: * lines::
                   6673: * linespoints::
                   6674: * points::
                   6675: * steps::
                   6676: * vector::
                   6677: * xerrorbars::
                   6678: * xyerrorbars::
                   6679: * yerrorbars::
                   6680: @end menu
                   6681:
                   6682: @node boxerrorbars, boxes, style, style
                   6683: @subsubsection boxerrorbars
                   6684:
                   6685: @c ?commands set style boxerrorbars
                   6686: @c ?set style boxerrorbars
                   6687: @c ?style boxerrorbars
                   6688: @cindex boxerrorbars
                   6689:
                   6690: The @ref{boxerrorbars} style is only relevant to 2-d data plotting.  It is a
                   6691: combination of the @ref{boxes} and @ref{yerrorbars} styles.  The boxwidth will come
                   6692: from the fourth column if the y errors are in the form of "ydelta" and the
                   6693: boxwidth was not previously set equal to -2.0 (`set boxwidth -2.0`) or from
                   6694: the fifth column if the y errors are in the form of "ylow yhigh".  The
                   6695: special case  `boxwidth = -2.0` is for four-column data with y errors in the
                   6696: form "ylow yhigh".  In this case the boxwidth will be calculated so that each
                   6697: box touches the adjacent boxes.  The width will also be calculated in cases
                   6698: where three-column data are used.
                   6699:
                   6700: The box height is determined from the y error in the same way as it is for
                   6701: the @ref{yerrorbars} style---either from y-ydelta to y+ydelta or from ylow to
                   6702: yhigh, depending on how many data columns are provided.
                   6703: @uref{http://www.nas.nasa.gov/~woo/gnuplot/errorbar/errorbar.html,See Demo. }
                   6704:
                   6705: @node boxes, boxxyerrorbars, boxerrorbars, style
                   6706: @subsubsection boxes
                   6707:
                   6708: @c ?commands set style boxes
                   6709: @c ?commands set style bargraph
                   6710: @c ?set style boxes
                   6711: @c ?set style bargraph
                   6712: @c ?style boxes
                   6713: @c ?style bargraph
                   6714: @cindex boxes
                   6715:
                   6716: @cindex bargraph
                   6717:
                   6718: The @ref{boxes} style is only relevant to 2-d plotting.  It draws a box centered
                   6719: about the given x coordinate from the x axis (not the graph border) to the
                   6720: given y coordinate.  The width of the box is obtained in one of three ways.
                   6721: If it is a data plot and the data file has a third column, this will be used
                   6722: to set the width of the box.  If not, if a width has been set using the @ref{boxwidth} command, this will be used.  If neither of these is available, the
                   6723: width of each box will be calculated automatically so that it touches the
                   6724: adjacent boxes.
                   6725:
                   6726: @node boxxyerrorbars, candlesticks, boxes, style
                   6727: @subsubsection boxxyerrorbars
                   6728:
                   6729: @c ?commands set style boxxyerrorbars
                   6730: @c ?set style boxxyerrorbars
                   6731: @c ?style boxxyerrorbars
                   6732: @cindex boxxyerrorbars
                   6733:
                   6734: The @ref{boxxyerrorbars} style is only relevant to 2-d data plotting.  It is a
                   6735: combination of the @ref{boxes} and @ref{xyerrorbars} styles.
                   6736:
                   6737: The box width and height are determined from the x and y errors in the same
                   6738: way as they are for the @ref{xyerrorbars} style---either from xlow to xhigh and
                   6739: from ylow to yhigh, or from x-xdelta to x+xdelta and from y-ydelta to
                   6740: y+ydelta , depending on how many data columns are provided.
                   6741:
                   6742: @node candlesticks, dots, boxxyerrorbars, style
                   6743: @subsubsection candlesticks
                   6744:
                   6745: @c ?commands set style candlesticks
                   6746: @c ?set style candlesticks
                   6747: @c ?style candlesticks
                   6748: @cindex candlesticks
                   6749:
                   6750: The @ref{candlesticks} style is only relevant for 2-d data plotting of financial
                   6751: data.  Five columns of data are required; in order, these should be the x
                   6752: coordinate (most likely a date) and the opening, low, high, and closing
                   6753: prices.  The symbol is an open rectangle, centered horizontally at the x
                   6754: coordinate and limited vertically by the opening and closing prices.  A
                   6755: vertical line segment at the x coordinate extends up from the top of the
                   6756: rectangle to the high price and another down to the low.  The width of the
                   6757: rectangle may be changed by @ref{bar}.  The symbol will be unchanged if the
                   6758: low and high prices are interchanged or if the opening and closing prices
                   6759: are interchanged.  See @ref{bar} and @ref{financebars}.
                   6760: @uref{http://www.nas.nasa.gov/~woo/gnuplot/finance/finance.html,See demos.}
                   6761:
                   6762: @node dots, financebars, candlesticks, style
                   6763: @subsubsection dots
                   6764:
                   6765: @c ?commands set style dots
                   6766: @c ?set style dots
                   6767: @c ?style dots
                   6768: @cindex dots
                   6769:
                   6770: The @ref{dots} style plots a tiny dot at each point; this is useful for scatter
                   6771: plots with many points.
                   6772:
                   6773: @node financebars, fsteps, dots, style
                   6774: @subsubsection financebars
                   6775:
                   6776: @c ?commands set style financebars
                   6777: @c ?set style financebars
                   6778: @c ?style financebars
                   6779: @cindex financebars
                   6780:
                   6781: The @ref{financebars} style is only relevant for 2-d data plotting of financial
                   6782: data.  Five columns of data are required; in order, these should be the x
                   6783: coordinate (most likely a date) and the opening, low, high, and closing
                   6784: prices.  The symbol is a vertical line segment, located horizontally at the x
                   6785: coordinate and limited vertically by the high and low prices.  A horizontal
                   6786: tic on the left marks the opening price and one on the right marks the
                   6787: closing price.  The length of these tics may be changed by @ref{bar}.  The
                   6788: symbol will be unchanged if the high and low prices are interchanged.  See
                   6789: @ref{bar} and @ref{candlesticks}.
                   6790: @uref{http://www.nas.nasa.gov/~woo/gnuplot/finance/finance.html,See demos.}
                   6791:
                   6792: @node fsteps, histeps, financebars, style
                   6793: @subsubsection fsteps
                   6794:
                   6795: @c ?commands set style fsteps
                   6796: @c ?set style fsteps
                   6797: @c ?style fsteps
                   6798: @cindex fsteps
                   6799:
                   6800: The @ref{fsteps} style is only relevant to 2-d plotting.  It connects consecutive
                   6801: points with two line segments: the first from (x1,y1) to (x1,y2) and the
                   6802: second from (x1,y2) to (x2,y2).
                   6803: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/steps.html,See demo. }
                   6804:
                   6805: @node histeps, impulses, fsteps, style
                   6806: @subsubsection histeps
                   6807:
                   6808: @c ?commands set style histeps
                   6809: @c ?set style histeps
                   6810: @c ?style histeps
                   6811: @cindex histeps
                   6812:
                   6813: The @ref{histeps} style is only relevant to 2-d plotting.  It is intended for
                   6814: plotting histograms.  Y-values are assumed to be centered at the x-values;
                   6815: the point at x1 is represented as a horizontal line from ((x0+x1)/2,y1) to
                   6816: ((x1+x2)/2,y1).  The lines representing the end points are extended so that
                   6817: the step is centered on at x.  Adjacent points are connected by a vertical
                   6818: line at their average x, that is, from ((x1+x2)/2,y1) to ((x1+x2)/2,y2).
                   6819:
                   6820: If @ref{autoscale} is in effect, it selects the xrange from the data rather than
                   6821: the steps, so the end points will appear only half as wide as the others.
                   6822: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/steps.html,See demo. }
                   6823:
                   6824: @ref{histeps} is only a plotting style; `gnuplot` does not have the ability to
                   6825: create bins and determine their population from some data set.
                   6826:
                   6827: @node impulses, lines, histeps, style
                   6828: @subsubsection impulses
                   6829:
                   6830: @c ?commands set style impulses
                   6831: @c ?set style impulses
                   6832: @c ?style impulses
                   6833: @cindex impulses
                   6834:
                   6835: The @ref{impulses} style displays a vertical line from the x axis (not the graph
                   6836: border), or from the grid base for `splot`, to each point.
                   6837:
                   6838: @node lines, linespoints, impulses, style
                   6839: @subsubsection lines
                   6840:
                   6841: @c ?commands set style lines
                   6842: @c ?set style lines
                   6843: @c ?style lines
                   6844: @cindex lines
                   6845:
                   6846: The `lines` style connects adjacent points with straight line segments.
                   6847:
                   6848: @node linespoints, points, lines, style
                   6849: @subsubsection linespoints
                   6850:
                   6851: @c ?commands set style linespoints
                   6852: @c ?commands set style lp
                   6853: @c ?set style linespoints
                   6854: @c ?set style lp
                   6855: @c ?style linespoints
                   6856: @c ?style lp
                   6857: @cindex linespoints
                   6858:
                   6859: @cindex lp
                   6860:
                   6861: The @ref{linespoints} style does both `lines` and `points`, that is, it draws a
                   6862: small symbol at each point and then connects adjacent points with straight
                   6863: line segments.  The command @ref{pointsize} may be used to change the size of
                   6864: the points.  See @ref{pointsize} for its usage.
                   6865:
                   6866: @ref{linespoints} may be abbreviated `lp`.
                   6867:
                   6868: @node points, steps, linespoints, style
                   6869: @subsubsection points
                   6870:
                   6871: @c ?commands set style points
                   6872: @c ?set style points
                   6873: @c ?style points
                   6874: @cindex points
                   6875:
                   6876: The `points` style displays a small symbol at each point.  The command @ref{pointsize} may be used to change the size of the points.  See @ref{pointsize}
                   6877: for its usage.
                   6878:
                   6879: @node steps, vector, points, style
                   6880: @subsubsection steps
                   6881:
                   6882: @c ?commands set style steps
                   6883: @c ?set style steps
                   6884: @c ?style steps
                   6885: @cindex steps
                   6886:
                   6887: The @ref{steps} style is only relevant to 2-d plotting.  It connects consecutive
                   6888: points with two line segments: the first from (x1,y1) to (x2,y1) and the
                   6889: second from (x2,y1) to (x2,y2).
                   6890: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/steps.html,See demo. }
                   6891:
                   6892: @node vector, xerrorbars, steps, style
                   6893: @subsubsection vector
                   6894:
                   6895: @c ?commands set style vector
                   6896: @c ?set style vector
                   6897: @c ?style vector
                   6898: @cindex vector
                   6899:
                   6900: The @ref{vector} style draws a vector from (x,y) to (x+xdelta,y+ydelta).  Thus
                   6901: it requires four columns of data.  It also draws a small arrowhead at the
                   6902: end of the vector.
                   6903:
                   6904: The @ref{vector} style is still experimental: it doesn't get clipped properly
                   6905: and other things may also be wrong with it.  Use it at your own risk.
                   6906:
                   6907: @node xerrorbars, xyerrorbars, vector, style
                   6908: @subsubsection xerrorbars
                   6909:
                   6910: @c ?commands set style xerrorbars
                   6911: @c ?set style xerrorbars
                   6912: @c ?style xerrorbars
                   6913: @cindex xerrorbars
                   6914:
                   6915: The @ref{xerrorbars} style is only relevant to 2-d data plots.  @ref{xerrorbars} is
                   6916: like @ref{dots}, except that a horizontal error bar is also drawn.  At each point
                   6917: (x,y), a line is drawn from (xlow,y) to (xhigh,y) or from (x-xdelta,y) to
                   6918: (x+xdelta,y), depending on how many data columns are provided.  A tic mark
                   6919: is placed at the ends of the error bar (unless @ref{bar} is used---see @ref{bar} for details).
                   6920:
                   6921: @node xyerrorbars, yerrorbars, xerrorbars, style
                   6922: @subsubsection xyerrorbars
                   6923:
                   6924: @c ?commands set style xyerrorbars
                   6925: @c ?set style xyerrorbars
                   6926: @c ?style xyerrorbars
                   6927: @cindex xyerrorbars
                   6928:
                   6929: The @ref{xyerrorbars} style is only relevant to 2-d data plots.  @ref{xyerrorbars} is
                   6930: like @ref{dots}, except that horizontal and vertical error bars are also drawn.
                   6931: At each point (x,y), lines are drawn from (x,y-ydelta) to (x,y+ydelta) and
                   6932: from (x-xdelta,y) to (x+xdelta,y) or from (x,ylow) to (x,yhigh) and from
                   6933: (xlow,y) to (xhigh,y), depending upon the number of data columns provided.  A
                   6934: tic mark is placed at the ends of the error bar (unless @ref{bar} is
                   6935: used---see @ref{bar} for details).
                   6936:
                   6937: If data are provided in an unsupported mixed form, the @ref{using} filter on the
                   6938: @ref{plot} command should be used to set up the appropriate form.  For example,
                   6939: if the data are of the form (x,y,xdelta,ylow,yhigh), then you can use
                   6940:
                   6941: @example
                   6942:       plot 'data' using 1:2:($1-$3),($1+$3),4,5 with xyerrorbars
                   6943:
                   6944: @end example
                   6945:
                   6946: @node yerrorbars,  , xyerrorbars, style
                   6947: @subsubsection yerrorbars
                   6948:
                   6949: @c ?commands set style yerrorbars
                   6950: @c ?commands set style errorbars
                   6951: @c ?set style yerrorbars
                   6952: @c ?set style errorbars
                   6953: @c ?style yerrorbars
                   6954: @c ?style errorbars
                   6955: @cindex yerrorbars
                   6956:
                   6957: @cindex errorbars
                   6958:
                   6959: The @ref{yerrorbars} (or @ref{errorbars}) style is only relevant to 2-d data plots.
                   6960: @ref{yerrorbars} is like @ref{dots}, except that a vertical error bar is also drawn.
                   6961: At each point (x,y), a line is drawn from (x,y-ydelta) to (x,y+ydelta) or
                   6962: from (x,ylow) to (x,yhigh), depending on how many data columns are provided.
                   6963: A tic mark is placed at the ends of the error bar (unless @ref{bar} is
                   6964: used---see @ref{bar} for details).
                   6965: @uref{http://www.nas.nasa.gov/~woo/gnuplot/errorbar/errorbar.html,See demo. }
                   6966:
                   6967: @node surface, terminal, style, set-show
                   6968: @subsection surface
                   6969:
                   6970: @c ?commands set surface
                   6971: @c ?commands set nosurface
                   6972: @c ?commands show surface
                   6973: @c ?set surface
                   6974: @c ?set nosurface
                   6975: @c ?show surface
                   6976: @cindex surface
                   6977: @opindex surface
                   6978:
                   6979:
                   6980: @cindex nosurface
                   6981:
                   6982: The command @ref{surface} controls the display of surfaces by `splot`.
                   6983:
                   6984: Syntax:
                   6985: @example
                   6986:       set surface
                   6987:       set nosurface
                   6988:       show surface
                   6989:
                   6990: @end example
                   6991:
                   6992: The surface is drawn with the style specifed by @ref{with}, or else the
                   6993: appropriate style, data or function.
                   6994:
                   6995: Whenever `set nosurface` is issued, `splot` will not draw points or lines
                   6996: corresponding to the function or data file points.  Contours may be still be
                   6997: drawn on the surface, depending on the @ref{contour} option. `set nosurface;
                   6998: set contour base` is useful for displaying contours on the grid base.  See
                   6999: also @ref{contour}.
                   7000: @c ^ <h2> Terminal Types </h2>
                   7001:
                   7002: @node terminal, tics, surface, set-show
                   7003: @subsection terminal
                   7004:
                   7005: @c ?commands set terminal
                   7006: @c ?commands show terminal
                   7007: @c ?set terminal
                   7008: @c ?set term
                   7009: @c ?show terminal
                   7010: @cindex terminal
                   7011: @opindex terminal
                   7012:
                   7013:
                   7014: @cindex term
                   7015:
                   7016: `gnuplot` supports many different graphics devices.  Use @ref{terminal} to
                   7017: tell `gnuplot` what kind of output to generate. Use @ref{output} to redirect
                   7018: that output to a file or device.
                   7019:
                   7020: Syntax:
                   7021: @example
                   7022:       set terminal @{<terminal-type>@}
                   7023:       show terminal
                   7024:
                   7025: @end example
                   7026:
                   7027: If <terminal-type> is omitted, `gnuplot` will list the available terminal
                   7028: types.  <terminal-type> may be abbreviated.
                   7029:
                   7030: If both @ref{terminal} and @ref{output} are used together, it is safest to
                   7031: give @ref{terminal} first, because some terminals set a flag which is needed
                   7032: in some operating systems.
                   7033:
                   7034: Several terminals have additional options.  For example, see `dumb`,
                   7035: `iris4d`, `hpljii` or `postscript`.
                   7036:
                   7037: This document may describe drivers that are not available to you because they
                   7038: were not installed, or it may not describe all the drivers that are available
                   7039: to you, depending on its output format.
                   7040: @@c <4 -- all terminal stuff is pulled from the .trm files
                   7041:
                   7042: @menu
                   7043: * aifm::
                   7044: * cgm::
                   7045: * corel::
                   7046: * dumb::
                   7047: * dxf::
                   7048: * eepic::
                   7049: * epson-180dpi::
                   7050: * fig::
                   7051: * gif::
                   7052: * gpic::
                   7053: * hp2623a::
                   7054: * hp2648::
                   7055: * hp500c::
                   7056: * hpgl::
                   7057: * hpljii::
                   7058: * hppj::
                   7059: * imagen::
                   7060: * latex::
                   7061: * mf::
                   7062: * mif::
                   7063: * pbm::
                   7064: * png::
                   7065: * postscript::
                   7066: * pslatex_and_pstex::
                   7067: * pstricks::
                   7068: * qms::
                   7069: * regis::
                   7070: * sun::
                   7071: * tek410x::
                   7072: * table::
                   7073: * tek40::
                   7074: * texdraw::
                   7075: * tgif::
                   7076: * tkcanvas::
                   7077: * tpic::
                   7078: * x11::
                   7079: * xlib::
                   7080: @end menu
                   7081:
                   7082: @node aifm, cgm, terminal, terminal
                   7083: @subsubsection aifm
                   7084:
                   7085: @c ?commands set terminal aifm
                   7086: @c ?set terminal aifm
                   7087: @c ?set term aifm
                   7088: @c ?terminal aifm
                   7089: @c ?term aifm
                   7090: @cindex aifm
                   7091: @tmindex aifm
                   7092:
                   7093:
                   7094: Several options may be set in `aifm`---the Adobe Illustrator 3.0+ driver.
                   7095:
                   7096: Syntax:
                   7097: @example
                   7098:       set terminal aifm @{<color>@} @{"<fontname>"@} @{<fontsize>@}
                   7099:
                   7100: @end example
                   7101:
                   7102: <color> is either `color` or `monochrome`; "<fontname>" is the name of a
                   7103: valid PostScript font; <fontsize> is the size of the font in PostScript
                   7104: points, before scaling by the @ref{size} command.  Selecting `default` sets
                   7105: all options to their default values: `monochrome`, "Helvetica", and 14pt.
                   7106:
                   7107: Since AI does not really support multiple pages, multiple graphs will be
                   7108: drawn directly on top of one another.  However, each graph will be grouped
                   7109: individually, making it easy to separate them inside AI (just pick them up
                   7110: and move them).
                   7111:
                   7112: Examples:
                   7113: @example
                   7114:       set term aifm
                   7115:       set term aifm 22
                   7116:       set size 0.7,1.4; set term aifm color "Times-Roman" 14"
                   7117:
                   7118: @end example
                   7119:
                   7120: @node cgm, corel, aifm, terminal
                   7121: @subsubsection cgm
                   7122:
                   7123: @c ?commands set terminal cgm
                   7124: @c ?set terminal cgm
                   7125: @c ?set term cgm
                   7126: @c ?terminal cgm
                   7127: @c ?term cgm
                   7128: @cindex cgm
                   7129: @tmindex cgm
                   7130:
                   7131:
                   7132: The `cgm` terminal generates a Computer Graphics Metafile.  This file format
                   7133: is a subset of the ANSI X3.122-1986 standard entitled "Computer Graphics -
                   7134: Metafile for the Storage and Transfer of Picture Description Information".
                   7135: Several options may be set in `cgm`.
                   7136:
                   7137: Syntax:
                   7138: @example
                   7139:       set terminal cgm @{<mode>@} @{<color>@} @{<rotation>@} @{solid | dashed@}
                   7140:                        @{width <plot_width>@} @{linewidth <line_width>@}
                   7141:                        @{"<font>"@} @{<fontsize>@}
                   7142:
                   7143: @end example
                   7144:
                   7145: where <mode> is `landscape`, `portrait`, or `default`;
                   7146: <color> is either `color` or `monochrome`;
                   7147: <rotation> is either `rotate` or `norotate`;
                   7148: `solid` draws all curves with solid lines, overriding any dashed patterns;
                   7149: <plot_width> is the width of the page in points;
                   7150: <line_width> is the line width in points;
                   7151: <font> is the name of a font; and
                   7152: `<fontsize>` is the size of the font in points.
                   7153:
                   7154: By default, `cgm` uses rotated text for the Y axis label.
                   7155:
                   7156: The first six options can be in any order.  Selecting `default` sets all
                   7157: options to their default values.
                   7158:
                   7159: Examples:
                   7160: @example
                   7161:       set terminal cgm landscape color rotate dashed width 432 \\
                   7162:                      linewidth 1  'Arial Bold' 12       # defaults
                   7163:       set terminal cgm 14 linewidth 2  14  # wider lines & larger font
                   7164:       set terminal cgm portrait 'Times Roman Italic' 12
                   7165:       set terminal cgm color solid    # no pesky dashes!
                   7166:
                   7167: @end example
                   7168:
                   7169:
                   7170: @noindent --- FONT ---
                   7171:
                   7172: @c ?commands set terminal cgm font
                   7173: @c ?set terminal cgm font
                   7174: @c ?set term cgm font
                   7175: @c ?cgm font
                   7176: The first part of a Computer Graphics Metafile, the metafile description,
                   7177: includes a font table.  In the picture body, a font is designated by an
                   7178: index into this table.  By default, this terminal generates a table with
                   7179: the following fonts:
                   7180:
                   7181: @example
                   7182:       Arial
                   7183:       Arial Italic
                   7184:       Arial Bold
                   7185:       Arial Bold Italic
                   7186:       Times Roman
                   7187:       Times Roman Italic
                   7188:       Times Roman Bold
                   7189:       Times Roman Bold Italic
                   7190:       Helvetica
                   7191:       Roman
                   7192:
                   7193: @end example
                   7194:
                   7195: Case is not distinct, but the modifiers must appear in the above order (that
                   7196: is, not 'Arial Italic Bold').  'Arial Bold' is the default font.
                   7197:
                   7198: You may also specify a font name which does not appear in the default font
                   7199: table.  In that case, a new font table is constructed with the specified
                   7200: font as its only entry.  You must ensure that the spelling, capitalization,
                   7201: and spacing of the name are appropriate for the application that will read
                   7202: the CGM file.
                   7203:
                   7204:
                   7205: @noindent --- FONTSIZE ---
                   7206:
                   7207: @c ?commands set terminal cgm fontsize
                   7208: @c ?set terminal cgm fontsize
                   7209: @c ?set term cgm fontsize
                   7210: @c ?cgm fontsize
                   7211: Fonts are scaled assuming the page is 6 inches wide.  If the @ref{size} command
                   7212: is used to change the aspect ratio of the page or the CGM file is converted
                   7213: to a different width (e.g. it is imported into a document in which the
                   7214: margins are not 6 inches apart), the resulting font sizes will be different.
                   7215: To change the assumed width, use the `width` option.
                   7216:
                   7217:
                   7218: @noindent --- LINEWIDTH ---
                   7219:
                   7220: @c ?commands set terminal cgm linewidth
                   7221: @c ?set terminal cgm linewidth
                   7222: @c ?set term cgm linewidth
                   7223: @c ?cgm linewidth
                   7224: The `linewidth` option sets the width of lines in pt.  The default width is
                   7225: 1 pt.  Scaling is affected by the actual width of the page, as discussed
                   7226: under the `fontsize` and `width` options
                   7227:
                   7228:
                   7229: @noindent --- ROTATE ---
                   7230:
                   7231: @c ?commands set terminal cgm rotate
                   7232: @c ?set terminal cgm rotate
                   7233: @c ?set term cgm rotate
                   7234: @c ?cgm rotate
                   7235: The `norotate` option may be used to disable text rotation.  For example,
                   7236: the CGM input filter for Word for Windows 6.0c can accept rotated text, but
                   7237: the DRAW editor within Word cannot.  If you edit a graph (for example, to
                   7238: label a curve), all rotated text is restored to horizontal.  The Y axis
                   7239: label will then extend beyond the clip boundary.  With `norotate`, the Y
                   7240: axis label starts in a less attractive location, but the page can be edited
                   7241: without damage.  The `rotate` option confirms the default behavior.
                   7242:
                   7243:
                   7244: @noindent --- SOLID ---
                   7245:
                   7246: @c ?set terminal cgm solid
                   7247: @c ?set term cgm solid
                   7248: @c ?cgm solid
                   7249: The `solid` option may be used to disable dashed line styles in the
                   7250: plots.  This is useful when color is enabled and the dashing of the lines
                   7251: detracts from the appearance of the plot. The `dashed` option confirms the
                   7252: default behavior, which gives a different dash pattern to each curve.
                   7253:
                   7254:
                   7255: @noindent --- SIZE ---
                   7256:
                   7257: @c ?commands set terminal cgm size
                   7258: @c ?set terminal cgm size
                   7259: @c ?set term cgm size
                   7260: @c ?scgm size
                   7261: Default size of a CGM page is 32599 units wide and 23457 units high for
                   7262: landscape, or 23457 units wide by 32599 units high for portrait.
                   7263:
                   7264:
                   7265: @noindent --- WIDTH ---
                   7266:
                   7267: @c ?commands set terminal cgm width
                   7268: @c ?set terminal cgm width
                   7269: @c ?set term cgm width
                   7270: @c ?cgm width
                   7271: All distances in the CGM file are in abstract units.  The application that
                   7272: reads the file determines the size of the final page.  By default, the width
                   7273: of the final page is assumed to be 6 inches (15.24 cm).  This distance is
                   7274: used to calculate the correct font size, and may be changed with the `width`
                   7275: option.  The keyword should be followed by the width in points.  (Here, a
                   7276: point is 1/72 inch, as in PostScript.  This unit is known as a "big point"
                   7277: in TeX.)  `gnuplot` arithmetic can be used to convert from other units, as
                   7278: follows:
                   7279: @example
                   7280:       set terminal cgm width 432            # default
                   7281:       set terminal cgm width 6*72           # same as above
                   7282:       set terminal cgm width 10/2.54*72     # 10 cm wide
                   7283:
                   7284: @end example
                   7285:
                   7286:
                   7287: @noindent --- WINWORD6 ---
                   7288:
                   7289: @c ?commands set terminal cgm winword6
                   7290: @c ?set terminal cgm winword6
                   7291: @c ?set term cgm winword6
                   7292: @c ?cgm winword6
                   7293: The default font table was chosen to match, where possible, the default font
                   7294: assignments made by the Computer Graphics Metafile input filter for
                   7295: Microsoft Word 6.0c, although the filter makes available only 'Arial' and
                   7296: 'Times Roman' fonts and their bold and/or italic variants.  Other fonts such
                   7297: as 'Helvetica' and 'Roman' are not available.  If the CGM file includes a
                   7298: font table, the filter mostly ignores it.  However, it changes certain font
                   7299: assignments so that they disagree with the table.  As a workaround, the
                   7300: `winword6` option deletes the font table from the CGM file.  In this case,
                   7301: the filter makes predictable font assignments.  'Arial Bold' is correctly
                   7302: assigned even with the font table present, which is one reason it was chosen
                   7303: as the default.
                   7304:
                   7305: `winword6` disables the color tables for a similar reason---with the color
                   7306: table included, Microsoft Word displays black for color 7.
                   7307:
                   7308: Linewidths and pointsizes may be changed with @ref{linestyle}."
                   7309:
                   7310: @node corel, dumb, cgm, terminal
                   7311: @subsubsection corel
                   7312:
                   7313: @c ?commands set terminal corel
                   7314: @c ?set terminal corel
                   7315: @c ?set term corel
                   7316: @c ?terminal corel
                   7317: @c ?term corel
                   7318: @cindex corel
                   7319: @tmindex corel
                   7320:
                   7321:
                   7322: The `corel` terminal driver supports CorelDraw.
                   7323:
                   7324: Syntax:
                   7325: @example
                   7326:       set terminal corel @{  default
                   7327:                           | @{monochrome | color
                   7328:                                @{<fontname> @{"<fontsize>"
                   7329:                                   @{<xsize> <ysize> @{<linewidth> @}@}@}@}@}
                   7330:
                   7331: @end example
                   7332:
                   7333: where the fontsize and linewidth are specified in points and the sizes in
                   7334: inches.  The defaults are monochrome, "SwitzerlandLight", 22, 8.2, 10 and 1.2."
                   7335:
                   7336: @node dumb, dxf, corel, terminal
                   7337: @subsubsection dumb
                   7338:
                   7339: @c ?commands set terminal dumb
                   7340: @c ?set terminal dumb
                   7341: @c ?set term dumb
                   7342: @c ?terminal dumb
                   7343: @c ?term dumb
                   7344: @cindex dumb
                   7345: @tmindex dumb
                   7346:
                   7347:
                   7348: The `dumb` terminal driver has an optional size specification and trailing
                   7349: linefeed control.
                   7350:
                   7351: Syntax:
                   7352: @example
                   7353:       set terminal dumb @{[no]feed@} @{<xsize> <ysize>@}
                   7354:
                   7355: @end example
                   7356:
                   7357: where <xsize> and <ysize> set the size of the dumb terminals. Default is
                   7358: 79 by 24. The last newline is printed only if `feed` is enabled.
                   7359:
                   7360: Examples:
                   7361: @example
                   7362:       set term dumb nofeed
                   7363:       set term dumb 79 49 # VGA screen---why would anyone do that?"
                   7364:
                   7365: @end example
                   7366:
                   7367: @node dxf, eepic, dumb, terminal
                   7368: @subsubsection dxf
                   7369:
                   7370: @c ?commands set terminal dxf
                   7371: @c ?set terminal dxf
                   7372: @c ?set term dxf
                   7373: @c ?terminal dxf
                   7374: @c ?term dxf
                   7375: @cindex dxf
                   7376: @tmindex dxf
                   7377:
                   7378:
                   7379: The `dxf` terminal driver creates pictures that can be imported into AutoCad
                   7380: (Release 10.x).  It has no options of its own, but some features of its plots
                   7381: may be modified by other means.  The default size is 120x80 AutoCad units,
                   7382: which can be changed by @ref{size}.  `dxf` uses seven colors (white, red,
                   7383: yellow, green, cyan, blue and magenta), which can be changed only by
                   7384: modifying the source file.  If a black-and-white plotting device is used, the
                   7385: colors are mapped to differing line thicknesses.  See the description of the
                   7386: AutoCad print/plot command."
                   7387:
                   7388: @node eepic, epson-180dpi, dxf, terminal
                   7389: @subsubsection eepic
                   7390:
                   7391: @c ?commands set terminal eepic
                   7392: @c ?set terminal eepic
                   7393: @c ?set term eepic
                   7394: @c ?terminal eepic
                   7395: @c ?term eepic
                   7396: @cindex eepic
                   7397: @tmindex eepic
                   7398:
                   7399:
                   7400: The `eepic` terminal driver supports the extended LaTeX picture environment.
                   7401: It is an alternative to the `latex` driver.
                   7402:
                   7403: The output of this terminal is intended for use with the "eepic.sty" macro
                   7404: package for LaTeX.  To use it, you need "eepic.sty", "epic.sty" and a
                   7405: printer driver that supports the "tpic" \\specials.  If your printer driver
                   7406: doesn't support those \\specials, "eepicemu.sty" will enable you to use some
                   7407: of them.
                   7408:
                   7409: Although dotted and dashed lines are possible with `eepic` and are tempting,
                   7410: they do not work well for high-sample-rate curves, fusing the dashes all
                   7411: together into a solid line.  For now, the `eepic` driver creates only solid
                   7412: lines.  There is another gnuplot driver (`tpic`) that supports dashed lines,
                   7413: but it cannot be used if your DVI driver doesn't support "tpic" \\specials.
                   7414:
                   7415: All drivers for LaTeX offer a special way of controlling text positioning:
                   7416: If any text string begins with '@{', you also need to include a '@}' at the
                   7417: end of the text, and the whole text will be centered both horizontally
                   7418: and vertically by LaTeX. --- If the text string begins with '[', you need
                   7419: to continue it with: a position specification (up to two out of t,b,l,r),
                   7420: ']@{', the text itself, and finally, '@}'. The text itself may be anything
                   7421: LaTeX can typeset as an LR-box. \\rule@{@}@{@}'s may help for best positioning.
                   7422:
                   7423: The `eepic` terminal has no options.
                   7424:
                   7425: Examples:
                   7426: About label positioning:
                   7427: Use gnuplot defaults (mostly sensible, but sometimes not really best):
                   7428: @example
                   7429:        set title '\\LaTeX\\ -- $ \\gamma $'
                   7430: @end example
                   7431:
                   7432: Force centering both horizontally and vertically:
                   7433: @example
                   7434:        set label '@{\\LaTeX\\ -- $ \\gamma $@}' at 0,0
                   7435: @end example
                   7436:
                   7437: Specify own positioning (top here):
                   7438: @example
                   7439:        set xlabel '[t]@{\\LaTeX\\ -- $ \\gamma $@}'
                   7440: @end example
                   7441:
                   7442: The other label -- account for long ticlabels:
                   7443: @example
                   7444:        set ylabel '[r]@{\\LaTeX\\ -- $ \\gamma $\\rule@{7mm@}@{0pt@}'"
                   7445:
                   7446: @end example
                   7447:
                   7448: @node epson-180dpi, fig, eepic, terminal
                   7449: @subsubsection epson-180dpi
                   7450:
                   7451: @c ?commands set terminal epson-180dpi
                   7452: @c ?set terminal epson-180dpi
                   7453: @c ?set term epson-180dpi
                   7454: @c ?terminal epson-180dpi
                   7455: @c ?term epson-180dpi
                   7456: @cindex epson-180dpi
                   7457: @tmindex epson-180dpi
                   7458:
                   7459:
                   7460: @c ?commands set terminal epson-60dpi
                   7461: @c ?set terminal epson-60dpi
                   7462: @c ?set term epson-60dpi
                   7463: @c ?terminal epson-60dpi
                   7464: @c ?term epson-60dpi
                   7465: @cindex epson-60dpi
                   7466: @tmindex epson-60dpi
                   7467:
                   7468:
                   7469: @c ?commands set terminal epson-lx800
                   7470: @c ?set terminal epson-lx800
                   7471: @c ?set term epson-lx800
                   7472: @c ?terminal epson-lx800
                   7473: @c ?term epson-lx800
                   7474: @cindex epson-lx800
                   7475: @tmindex epson-lx800
                   7476:
                   7477:
                   7478: @c ?commands set terminal nec-cp6
                   7479: @c ?set terminal nec-cp6
                   7480: @c ?set term nec-cp6
                   7481: @c ?terminal nec-cp6
                   7482: @c ?term nec-cp6
                   7483: @cindex nec-cp6
                   7484: @tmindex nec-cp6
                   7485:
                   7486:
                   7487: @c ?commands set terminal okidata
                   7488: @c ?set terminal okidata
                   7489: @c ?set term okidata
                   7490: @c ?terminal okidata
                   7491: @c ?term okidata
                   7492: @cindex okidata
                   7493: @tmindex okidata
                   7494:
                   7495:
                   7496: @c ?commands set terminal starc
                   7497: @c ?set terminal starc
                   7498: @c ?set term starc
                   7499: @c ?terminal starc
                   7500: @c ?term starc
                   7501: @cindex starc
                   7502: @tmindex starc
                   7503:
                   7504:
                   7505: @c ?commands set terminal tandy-60dpi
                   7506: @c ?set terminal tandy-60dpi
                   7507: @c ?set term tandy-60dpi
                   7508: @c ?terminal tandy-60dpi
                   7509: @c ?term tandy-60dpi
                   7510: @cindex tandy-60dpi
                   7511: @tmindex tandy-60dpi
                   7512:
                   7513:
                   7514: This driver supports a family of Epson printers and derivatives.
                   7515:
                   7516: `epson-180dpi` and `epson-60dpi` are drivers for Epson LQ-style 24-pin
                   7517: printers with resolutions of 180 and 60 dots per inch, respectively.
                   7518:
                   7519: `epson-lx800` is a generic 9-pin driver appropriate for printers like the
                   7520: Epson LX-800, the Star NL-10 and NX-1000, the PROPRINTER, and so forth.
                   7521:
                   7522: `nec-cp6` is generix 24-pin driver that can be used for printers like the
                   7523: NEC CP6 and the Epson LQ-800.
                   7524:
                   7525: The `okidata` driver supports the 9-pin OKIDATA 320/321 Standard printers.
                   7526:
                   7527: The `starc` driver is for the Star Color Printer.
                   7528:
                   7529: The `tandy-60dpi` driver is for the Tandy DMP-130 series of 9-pin, 60-dpi
                   7530: printers.
                   7531:
                   7532: Only `nec-cp6` has any options.
                   7533:
                   7534: Syntax:
                   7535: @example
                   7536:       set terminal nec-cp6 @{monochrome | colour | draft@}
                   7537:
                   7538: @end example
                   7539:
                   7540: which defaults to monochrome.
                   7541:
                   7542: With each of these drivers, a binary copy is required on a PC to print.  Do
                   7543: not use @ref{print}---use instead `copy file /b lpt1:`."
                   7544:
                   7545: @node fig, gif, epson-180dpi, terminal
                   7546: @subsubsection fig
                   7547:
                   7548: @c ?commands set terminal fig
                   7549: @c ?set terminal fig
                   7550: @c ?set term fig
                   7551: @c ?terminal fig
                   7552: @c ?term fig
                   7553: @cindex fig
                   7554: @tmindex fig
                   7555:
                   7556:
                   7557: The `fig` terminal device generates output in the Fig graphics language.
                   7558:
                   7559: Syntax:
                   7560: @example
                   7561:       set terminal fig @{monochrome | color@} @{small | big@}
                   7562:                        @{pointsmax <max_points>@}
                   7563:                        @{landscape | portrait@}
                   7564:                        @{metric | inches@}
                   7565:                        @{fontsize <fsize>@}
                   7566:                        @{size <xsize> <ysize>@}
                   7567:                        @{thickness <units>@}
                   7568:                        @{depth <layer>@}
                   7569:
                   7570: @end example
                   7571:
                   7572: `monochrome` and `color` determine whether the picture is black-and-white or
                   7573: `color`.  `small` and `big` produce a 5x3 or 8x5 inch graph in the default
                   7574: `landscape` mode and 3x5 or 5x8 inches in `portrait` mode.  <max_points>
                   7575: sets the maximum number of points per polyline.  Default units for editing
                   7576: with "xfig" may be `metric` or `inches`.  `fontsize` sets the size of the
                   7577: text font to <fsize> points.  @ref{size} sets (overrides) the size of the drawing
                   7578: area to <xsize>*<ysize> in units of inches or centimeters depending on the
                   7579: `inches` or `metric` setting in effect.  `depth` sets the default depth layer
                   7580: for all lines and text.  The default depth is 10 to leave room for adding
                   7581: material with "xfig" on top of the plot.
                   7582:
                   7583: `thickness` sets the default line thickness, which is 1 if not specified.
                   7584: Overriding the thickness can be achieved by adding a multiple of 100 to the
                   7585: to the `linetype` value for a @ref{plot} command.  In a similar way the `depth`
                   7586: of plot elements (with respect to the default depth) can be controlled by
                   7587: adding a multiple of 1000 to <linetype>.  The depth is then <layer> +
                   7588: <linetype>/1000 and the thickness is (<linetype>%1000)/100 or, if that is
                   7589: zero, the default line thickness.
                   7590:
                   7591: Additional point-plot symbols are also available with the `fig` driver. The
                   7592: symbols can be used through `pointtype` values % 100 above 50, with different
                   7593: fill intensities controlled by <pointtype> % 5 and outlines in black (for
                   7594: <pointtype> % 10 < 5) or in the current color.  Available symbols are
                   7595: @example
                   7596:         50 - 59:  circles
                   7597:         60 - 69:  squares
                   7598:         70 - 79:  diamonds
                   7599:         80 - 89:  upwards triangles
                   7600:         90 - 99:  downwards triangles
                   7601: @end example
                   7602:
                   7603: The size of these symbols is linked to the font size.  The depth of symbols
                   7604: is by default one less than the depth for lines to achieve nice error bars.
                   7605: If <pointtype> is above 1000, the depth is <layer> + <pointtype>/1000-1.  If
                   7606: <pointtype>%1000 is above 100, the fill color is (<pointtype>%1000)/100-1.
                   7607:
                   7608: Available fill colors are (from 1 to 9): black, blue, green, cyan, red,
                   7609: magenta, yellow, white and dark blue (in monochrome mode: black for 1 to 6
                   7610: and white for 7 to 9).
                   7611:
                   7612: See @ref{with} for details of <linetype> and <pointtype>.
                   7613:
                   7614: The `big` option is a substitute for the `bfig` terminal in earlier versions,
                   7615: which is no longer supported.
                   7616:
                   7617: Examples:
                   7618: @example
                   7619:       set terminal fig monochrome small pointsmax 1000  # defaults
                   7620:
                   7621: @end example
                   7622:
                   7623: @example
                   7624:       plot 'file.dat' with points linetype 102 pointtype 759
                   7625: @end example
                   7626:
                   7627: would produce circles with a blue outline of width 1 and yellow fill color.
                   7628:
                   7629: @example
                   7630:       plot 'file.dat' using 1:2:3 with err linetype 1 pointtype 554
                   7631: @end example
                   7632:
                   7633: would produce errorbars with black lines and circles filled red.  These
                   7634: circles are one layer above the lines (at depth 9 by default).
                   7635:
                   7636: To plot the error bars on top of the circles use
                   7637: @example
                   7638:       plot 'file.dat' using 1:2:3 with err linetype 1 pointtype 2554"
                   7639:
                   7640: @end example
                   7641:
                   7642: @node gif, gpic, fig, terminal
                   7643: @subsubsection gif
                   7644:
                   7645: @c ?commands set terminal gif
                   7646: @c ?set terminal gif
                   7647: @c ?set term gif
                   7648: @c ?terminal gif
                   7649: @c ?term gif
                   7650: @cindex gif
                   7651: @tmindex gif
                   7652:
                   7653:
                   7654: The `gif` terminal driver generates output in GIF format.  It uses Thomas
                   7655: Boutell's gd library, which is available from http://www.boutell.com/gd/
                   7656:
                   7657: By default, the `gif` terminal driver uses a shared Web-friendy palette."
                   7658:
                   7659: Syntax:
                   7660: @example
                   7661:       set terminal gif @{transparent@} @{interlace@}
                   7662:                        @{tiny | small | medium | large | giant@}
                   7663:                        @{size <x>,<y>@}
                   7664:                        @{<color0> <color1> <color2> ...@}
                   7665:
                   7666: @end example
                   7667:
                   7668: `transparent` instructs the driver to generate transparent GIFs.  The first
                   7669: color will be the transparent one.
                   7670:
                   7671: `interlace` instructs the driver to generate interlaced GIFs.
                   7672:
                   7673: The choice of fonts is `tiny` (5x8 pixels), `small` (6x12 pixels), `medium`
                   7674: (7x13 Bold), `large` (8x16) or `giant` (9x15 pixels)
                   7675:
                   7676: The size <x,y> is given in pixels---it defaults to 640x480.  The number of
                   7677: pixels can be also modified by scaling with the @ref{size} command.
                   7678:
                   7679: Each color must be of the form 'xrrggbb', where x is the literal character
                   7680: 'x' and 'rrggbb' are the red, green and blue components in hex.  For example,
                   7681: 'x00ff00' is green.  The background color is set first, then the border
                   7682: colors, then the X & Y axis colors, then the plotting colors.  The maximum
                   7683: number of colors that can be set is 256.
                   7684:
                   7685: Examples:
                   7686: @example
                   7687:       set terminal gif small size 640,480 \\
                   7688:                        xffffff x000000 x404040 \\
                   7689:                        xff0000 xffa500 x66cdaa xcdb5cd \\
                   7690:                        xadd8e6 x0000ff xdda0dd x9500d3    # defaults
                   7691:
                   7692: @end example
                   7693:
                   7694: which uses white for the non-transparent background, black for borders, gray
                   7695: for the axes, and red, orange, medium aquamarine, thistle 3, light blue, blue,
                   7696: plum and dark violet for eight plotting colors.
                   7697:
                   7698: @example
                   7699:       set terminal gif transparent xffffff \\
                   7700:                        x000000 x202020 x404040 x606060 \\
                   7701:                        x808080 xA0A0A0 xC0C0C0 xE0E0E0 \\
                   7702: @end example
                   7703:
                   7704: which uses white for the transparent background, black for borders, dark
                   7705: gray for axes, and a gray-scale for the six plotting colors.
                   7706:
                   7707: The page size is 640x480 pixels.  The `gif` driver can create either color
                   7708: or monochromatic output, but you have no control over which is produced.
                   7709:
                   7710: The current version of the `gif` driver does not support animated GIFs."
                   7711:
                   7712: @node gpic, hp2623a, gif, terminal
                   7713: @subsubsection gpic
                   7714:
                   7715: @c ?commands set terminal gpic
                   7716: @c ?set terminal gpic
                   7717: @c ?set term gpic
                   7718: @c ?terminal gpic
                   7719: @c ?term gpic
                   7720: @cindex gpic
                   7721: @tmindex gpic
                   7722:
                   7723:
                   7724: The `gpic` terminal driver generates GPIC graphs in the Free Software
                   7725: Foundations's "groff" package.  The default size is 5 x 3 inches.  The only
                   7726: option is the origin, which defaults to (0,0).
                   7727:
                   7728: Syntax:
                   7729: @example
                   7730:       set terminal gpic @{<x> <y>@}
                   7731:
                   7732: @end example
                   7733:
                   7734: where `x` and `y` are in inches.
                   7735:
                   7736: A simple graph can be formatted using
                   7737:
                   7738: @example
                   7739:       groff -p -mpic -Tps file.pic > file.ps.
                   7740:
                   7741: @end example
                   7742:
                   7743: The output from pic can be pipe-lined into eqn, so it is possible to put
                   7744: complex functions in a graph with the @ref{label} and `set @{x/y@}label`
                   7745: commands.  For instance,
                   7746:
                   7747: @example
                   7748:       set ylab '@@space 0 int from 0 to x alpha ( t ) roman d t@@'
                   7749:
                   7750: @end example
                   7751:
                   7752: will label the y axis with a nice integral if formatted with the command:
                   7753:
                   7754: @example
                   7755:       gpic filename.pic | geqn -d@@@@ -Tps | groff -m[macro-package] -Tps
                   7756:           > filename.ps
                   7757:
                   7758: @end example
                   7759:
                   7760: Figures made this way can be scaled to fit into a document.  The pic language
                   7761: is easy to understand, so the graphs can be edited by hand if need be.  All
                   7762: co-ordinates in the pic-file produced by `gnuplot` are given as x+gnuplotx
                   7763: and y+gnuploty.  By default x and y are given the value 0.  If this line is
                   7764: removed with an editor in a number of files, one can put several graphs in
                   7765: one figure like this (default size is 5.0x3.0 inches):
                   7766:
                   7767: @example
                   7768:       .PS 8.0
                   7769:       x=0;y=3
                   7770:       copy "figa.pic"
                   7771:       x=5;y=3
                   7772:       copy "figb.pic"
                   7773:       x=0;y=0
                   7774:       copy "figc.pic"
                   7775:       x=5;y=0
                   7776:       copy "figd.pic"
                   7777:       .PE
                   7778:
                   7779: @end example
                   7780:
                   7781: This will produce an 8-inch-wide figure with four graphs in two rows on top
                   7782: of each other.
                   7783:
                   7784: One can also achieve the same thing by the command
                   7785:
                   7786: @example
                   7787:       set terminal gpic x y
                   7788:
                   7789: @end example
                   7790:
                   7791: for example, using
                   7792:
                   7793: @example
                   7794:       .PS 6.0
                   7795:       copy "trig.pic"
                   7796:       .PE"
                   7797:
                   7798: @end example
                   7799:
                   7800: @node hp2623a, hp2648, gpic, terminal
                   7801: @subsubsection hp2623a
                   7802:
                   7803: @c ?commands set terminal hp2623a
                   7804: @c ?set terminal hp2623a
                   7805: @c ?set term hp2623a
                   7806: @c ?terminal hp2623a
                   7807: @c ?term hp2623a
                   7808: @cindex hp2623a
                   7809: @tmindex hp2623a
                   7810:
                   7811:
                   7812: The `hp2623a` terminal driver supports the Hewlett Packard HP2623A.  It has
                   7813: no options."
                   7814:
                   7815: @node hp2648, hp500c, hp2623a, terminal
                   7816: @subsubsection hp2648
                   7817:
                   7818: @c ?commands set terminal hp2648
                   7819: @c ?set terminal hp2648
                   7820: @c ?set term hp2648
                   7821: @c ?terminal hp2648
                   7822: @c ?term hp2648
                   7823: @cindex hp2648
                   7824: @tmindex hp2648
                   7825:
                   7826:
                   7827: The `hp2648` terminal driver supports the Hewlett Packard HP2647 and HP2648.
                   7828: It has no options."
                   7829:
                   7830: @node hp500c, hpgl, hp2648, terminal
                   7831: @subsubsection hp500c
                   7832:
                   7833: @c ?commands set terminal hp500c
                   7834: @c ?set terminal hp500c
                   7835: @c ?set term hp500c
                   7836: @c ?terminal hp500c
                   7837: @c ?term hp500c
                   7838: @cindex hp500c
                   7839: @tmindex hp500c
                   7840:
                   7841:
                   7842: The `hp500c` terminal driver supports the Hewlett Packard HP DeskJet 500c.
                   7843: It has options for resolution and compression.
                   7844:
                   7845: Syntax:
                   7846: @example
                   7847:       set terminal hp500c @{<res>@} @{<comp>@}
                   7848:
                   7849: @end example
                   7850:
                   7851: where `res` can be 75, 100, 150 or 300 dots per inch and `comp` can be "rle",
                   7852: or "tiff".  Any other inputs are replaced by the defaults, which are 75 dpi
                   7853: and no compression.  Rasterization at the higher resolutions may require a
                   7854: large amount of memory."
                   7855:
                   7856: @node hpgl, hpljii, hp500c, terminal
                   7857: @subsubsection hpgl
                   7858:
                   7859: @c ?commands set terminal hpgl
                   7860: @c ?set terminal hpgl
                   7861: @c ?set term hpgl
                   7862: @c ?terminal hpgl
                   7863: @c ?term hpgl
                   7864: @cindex hpgl
                   7865: @tmindex hpgl
                   7866:
                   7867:
                   7868: @c ?commands set terminal pcl5
                   7869: @c ?set terminal pcl5
                   7870: @c ?set term pcl5
                   7871: @c ?terminal pcl5
                   7872: @c ?term pcl5
                   7873: @cindex pcl5
                   7874: @tmindex pcl5
                   7875:
                   7876:
                   7877: The `hpgl` driver produces HPGL output for devices like the HP7475A plotter.
                   7878: There are two options which can be set---the number of pens and "eject", which
                   7879: tells the plotter to eject a page when done.  The default is to use 6 pens
                   7880: and not to eject the page when done.
                   7881:
                   7882: The international character sets ISO-8859-1 and CP850 are recognized via
                   7883: `set encoding iso_8859_1` or `set encoding cp850` (see @ref{encoding} for
                   7884: details).
                   7885:
                   7886: Syntax:
                   7887: @example
                   7888:       set terminal hpgl @{<number_of_pens>@} @{eject@}
                   7889:
                   7890: @end example
                   7891:
                   7892: The selection
                   7893:
                   7894: @example
                   7895:       set terminal hpgl 8 eject
                   7896:
                   7897: @end example
                   7898:
                   7899: is equivalent to the previous `hp7550` terminal, and the selection
                   7900:
                   7901: @example
                   7902:       set terminal hpgl 4
                   7903:
                   7904: @end example
                   7905:
                   7906: is equivalent to the previous `hp7580b` terminal.
                   7907:
                   7908: The `pcl5` driver supports the Hewlett-Packard Laserjet III.  It actually uses
                   7909: HPGL-2, but there is a name conflict among the terminal devices.  It has
                   7910: several options
                   7911:
                   7912: Syntax:
                   7913: @example
                   7914:       set terminal pcl5 @{<mode>@} @{<font>@} @{<fontsize>@}
                   7915:
                   7916: @end example
                   7917:
                   7918: where <mode> is `landscape`, or `portrait`, <font> is `stick`, `univers`, or
                   7919: `cg_times`, and <fontsize> is the size in points.
                   7920:
                   7921: With `pcl5` international characters are handled by the printer; you just put
                   7922: the appropriate 8-bit character codes into the text strings.  You don't need
                   7923: to bother with @ref{encoding}.
                   7924:
                   7925: HPGL graphics can be imported by many software packages."
                   7926:
                   7927: @node hpljii, hppj, hpgl, terminal
                   7928: @subsubsection hpljii
                   7929:
                   7930: @c ?commands set terminal hpljii
                   7931: @c ?set terminal hpljii
                   7932: @c ?set term hpljii
                   7933: @c ?terminal hpljii
                   7934: @c ?term hpljii
                   7935: @cindex hpljii
                   7936: @tmindex hpljii
                   7937:
                   7938:
                   7939: @c ?commands set terminal hpdj
                   7940: @c ?set terminal hpdj
                   7941: @c ?set term hpdj
                   7942: @c ?terminal hpdj
                   7943: @c ?term hpdj
                   7944: @cindex hpdj
                   7945: @tmindex hpdj
                   7946:
                   7947:
                   7948: The `hpljii` terminal driver supports the HP Laserjet Series II printer.  The
                   7949: `hpdj` driver supports the HP DeskJet 500 printer.  These drivers allow a
                   7950: choice of resolutions.
                   7951:
                   7952: Syntax:
                   7953: @example
                   7954:       set terminal hpljii | hpdj @{<res>@}
                   7955:
                   7956: @end example
                   7957:
                   7958: where `res` may be 75, 100, 150 or 300 dots per inch; the default is 75.
                   7959: Rasterization at the higher resolutions may require a large amount of memory.
                   7960:
                   7961: The `hp500c` terminal is similar to `hpdj`; `hp500c` additionally supports
                   7962: color and compression."
                   7963:
                   7964: @node hppj, imagen, hpljii, terminal
                   7965: @subsubsection hppj
                   7966:
                   7967: @c ?commands set terminal hppj
                   7968: @c ?set terminal hppj
                   7969: @c ?set term hppj
                   7970: @c ?terminal hppj
                   7971: @c ?term hppj
                   7972: @cindex hppj
                   7973: @tmindex hppj
                   7974:
                   7975:
                   7976: The `hppj` terminal driver supports the HP PaintJet and HP3630 printers.  The
                   7977: only option is the choice of font.
                   7978:
                   7979: Syntax:
                   7980: @example
                   7981:       set terminal hppj @{FNT5X9 | FNT9X17 | FNT13X25@}
                   7982:
                   7983: @end example
                   7984:
                   7985: with the middle-sized font (FNT9X17) being the default."
                   7986:
                   7987: @node imagen, latex, hppj, terminal
                   7988: @subsubsection imagen
                   7989:
                   7990: @c ?commands set terminal imagen
                   7991: @c ?set terminal imagen
                   7992: @c ?set term imagen
                   7993: @c ?terminal imagen
                   7994: @c ?term imagen
                   7995: @cindex imagen
                   7996: @tmindex imagen
                   7997:
                   7998:
                   7999: The `imagen` terminal driver supports Imagen laser printers.  It is capable
                   8000: of placing multiple graphs on a single page.
                   8001:
                   8002: Syntax:
                   8003: @example
                   8004:       set terminal imagen @{<fontsize>@} @{portrait | landscape@}
                   8005:                           @{[<horiz>,<vert>]@}
                   8006:
                   8007: @end example
                   8008:
                   8009: where `fontsize` defaults to 12 points and the layout defaults to `landscape`.
                   8010: `<horiz>` and `<vert>` are the number of graphs in the horizontal and
                   8011: vertical directions; these default to unity.
                   8012:
                   8013: Example:
                   8014: @example
                   8015:       set terminal imagen portrait [2,3]
                   8016:
                   8017: @end example
                   8018:
                   8019: puts six graphs on the page in three rows of two in portrait orientation."
                   8020:
                   8021: @node latex, mf, imagen, terminal
                   8022: @subsubsection latex
                   8023:
                   8024: @c ?commands set terminal emtex
                   8025: @c ?set terminal emtex
                   8026: @c ?set term emtex
                   8027: @c ?terminal emtex
                   8028: @c ?term emtex
                   8029: @cindex latex
                   8030: @tmindex latex
                   8031:
                   8032:
                   8033: @c ?commands set terminal latex
                   8034: @c ?set terminal latex
                   8035: @c ?set term latex
                   8036: @c ?terminal latex
                   8037: @c ?term latex
                   8038: @cindex emtex
                   8039: @tmindex emtex
                   8040:
                   8041:
                   8042: The `latex` and `emtex` drivers allow two options.
                   8043:
                   8044: Syntax:
                   8045: @example
                   8046:       set terminal latex | emtex @{courier | roman | default@} @{<fontsize>@}
                   8047:
                   8048: @end example
                   8049:
                   8050: `fontsize` may be any size you specify.  The default is for the plot to
                   8051: inherit its font setting from the embedding document.
                   8052:
                   8053: Unless your driver is capable of building fonts at any size (e.g. dvips),
                   8054: stick to the standard 10, 11 and 12 point sizes.
                   8055:
                   8056: METAFONT users beware: METAFONT does not like odd sizes.
                   8057:
                   8058: All drivers for LaTeX offer a special way of controlling text positioning:
                   8059: If any text string begins with '@{', you also need to include a '@}' at the
                   8060: end of the text, and the whole text will be centered both horizontally and
                   8061: vertically.  If the text string begins with '[', you need to follow this with
                   8062: a position specification (up to two out of t,b,l,r), ']@{', the text itself,
                   8063: and finally '@}'.  The text itself may be anything LaTeX can typeset as an
                   8064: LR-box.  '\\rule@{@}@{@}'s may help for best positioning.
                   8065:
                   8066: Points, among other things, are drawn using the LaTeX commands "\\Diamond" and
                   8067: "\\Box".  These commands no longer belong to the LaTeX2e core; they are included
                   8068: in the latexsym package, which is part of the base distribution and thus part
                   8069: of any LaTeX implementation.  Please do not forget to use this package.
                   8070:
                   8071: Points are drawn with the LaTex commands \\Diamond and \\Box.  These
                   8072: commands do no longer belong to the LaTeX2e core, but are included in the
                   8073: latexsym-package in the base distribution, and are hence part of all LaTeX
                   8074: implementations. Please do not forget to use this package.
                   8075:
                   8076: Examples:
                   8077: About label positioning:
                   8078: Use gnuplot defaults (mostly sensible, but sometimes not really best):
                   8079: @example
                   8080:        set title '\\LaTeX\\ -- $ \\gamma $'
                   8081: @end example
                   8082:
                   8083: Force centering both horizontally and vertically:
                   8084: @example
                   8085:        set label '@{\\LaTeX\\ -- $ \\gamma $@}' at 0,0
                   8086: @end example
                   8087:
                   8088: Specify own positioning (top here):
                   8089: @example
                   8090:        set xlabel '[t]@{\\LaTeX\\ -- $ \\gamma $@}'
                   8091: @end example
                   8092:
                   8093: The other label -- account for long ticlabels:
                   8094: @example
                   8095:        set ylabel '[r]@{\\LaTeX\\ -- $ \\gamma $\\rule@{7mm@}@{0pt@}'"
                   8096:
                   8097: @end example
                   8098:
                   8099: @node mf, mif, latex, terminal
                   8100: @subsubsection mf
                   8101:
                   8102: @c ?commands set terminal mf
                   8103: @c ?set terminal mf
                   8104: @c ?set term mf
                   8105: @c ?terminal mf
                   8106: @c ?term mf
                   8107: @cindex mf
                   8108:
                   8109: @cindex metafont
                   8110:
                   8111: The `mf` terminal driver creates a input file to the METAFONT program.  Thus a
                   8112: figure may be used in the TeX document in the same way as is a character.
                   8113:
                   8114: To use a picture in a document, the METAFONT program must be run with the
                   8115: output file from `gnuplot` as input.  Thus, the user needs a basic knowledge
                   8116: of the font creating process and the procedure for including a new font in a
                   8117: document.  However, if the METAFONT program is set up properly at the local
                   8118: site, an unexperienced user could perform the operation without much trouble.
                   8119:
                   8120: The text support is based on a METAFONT character set.  Currently the
                   8121: Computer Modern Roman font set is input, but the user is in principal free to
                   8122: chose whatever fonts he or she needs.  The METAFONT source files for the
                   8123: chosen font must be available.  Each character is stored in a separate
                   8124: picture variable in METAFONT.  These variables may be manipulated (rotated,
                   8125: scaled etc.) when characters are needed.  The drawback is the interpretation
                   8126: time in the METAFONT program.  On some machines (i.e. PC) the limited amount
                   8127: of memory available may also cause problems if too many pictures are stored.
                   8128:
                   8129: The `mf` terminal has no options.
                   8130:
                   8131:
                   8132: @noindent --- METAFONT INSTRUCTIONS ---
                   8133:
                   8134: @c ?commands set terminal mf detailed
                   8135: @c ?set terminal mf detailed
                   8136: @c ?set term mf detailed
                   8137: @c ?mf detailed
                   8138: @c ?metafont detailed
                   8139:
                   8140: - Set your terminal to METAFONT:
                   8141: @example
                   8142:   set terminal mf
                   8143: @end example
                   8144:
                   8145: - Select an output-file, e.g.:
                   8146: @example
                   8147:   set output "myfigures.mf"
                   8148: @end example
                   8149:
                   8150: - Create your pictures. Each picture will generate a separate character. Its
                   8151: default size will be 5*3 inches. You can change the size by saying `set size
                   8152: 0.5,0.5` or whatever fraction of the default size you want to have.
                   8153:
                   8154: - Quit `gnuplot`.
                   8155:
                   8156: - Generate a TFM and GF file by running METAFONT on the output of `gnuplot`.
                   8157: Since the picture is quite large (5*3 in), you will have to use a version of
                   8158: METAFONT that has a value of at least 150000 for memmax.  On Unix systems
                   8159: these are conventionally installed under the name bigmf.  For the following
                   8160: assume that the command virmf stands for a big version of METAFONT.  For
                   8161: example:
                   8162:
                   8163: - Invoke METAFONT:
                   8164: @example
                   8165:     virmf '&plain'
                   8166: @end example
                   8167:
                   8168: - Select the output device: At the METAFONT prompt ('*') type:
                   8169: @example
                   8170:     \\mode:=CanonCX;     % or whatever printer you use
                   8171: @end example
                   8172:
                   8173: - Optionally select a magnification:
                   8174: @example
                   8175:     mag:=1;             % or whatever you wish
                   8176: @end example
                   8177:
                   8178: - Input the `gnuplot`-file:
                   8179: @example
                   8180:     input myfigures.mf
                   8181: @end example
                   8182:
                   8183: On a typical Unix machine there will usually be a script called "mf" that
                   8184: executes virmf '&plain', so you probably can substitute mf for virmf &plain.
                   8185: This will generate two files: mfput.tfm and mfput.$$$gf (where $$$ indicates
                   8186: the resolution of your device).  The above can be conveniently achieved by
                   8187: typing everything on the command line, e.g.:
                   8188: virmf '&plain' '\\mode:=CanonCX; mag:=1; input myfigures.mf'
                   8189: In this case the output files will be named myfigures.tfm and
                   8190: myfigures.300gf.
                   8191:
                   8192: - Generate a PK file from the GF file using gftopk:
                   8193: @example
                   8194:   gftopk myfigures.300gf myfigures.300pk
                   8195: @end example
                   8196:
                   8197: The name of the output file for gftopk depends on the DVI driver you use.
                   8198: Ask your local TeX administrator about the naming conventions.  Next, either
                   8199: install the TFM and PK files in the appropriate directories, or set your
                   8200: environment variables properly.  Usually this involves setting TEXFONTS to
                   8201: include the current directory and doing the same thing for the environment
                   8202: variable that your DVI driver uses (no standard name here...).  This step is
                   8203: necessary so that TeX will find the font metric file and your DVI driver will
                   8204: find the PK file.
                   8205:
                   8206: - To include your pictures in your document you have to tell TeX the font:
                   8207: @example
                   8208:   \\font\\gnufigs=myfigures
                   8209: @end example
                   8210:
                   8211: Each picture you made is stored in a single character.  The first picture is
                   8212: character 0, the second is character 1, and so on...  After doing the above
                   8213: step, you can use the pictures just like any other characters.  Therefore, to
                   8214: place pictures 1 and 2 centered in your document, all you have to do is:
                   8215: @example
                   8216:   \\centerline@{\\gnufigs\\char0@}
                   8217:   \\centerline@{\\gnufigs\\char1@}
                   8218: @end example
                   8219:
                   8220: in plain TeX.  For LaTeX you can, of course, use the picture environment and
                   8221: place the picture wherever you wish by using the \\makebox and \\put macros.
                   8222:
                   8223: This conversion saves you a lot of time once you have generated the font;
                   8224: TeX handles the pictures as characters and uses minimal time to place them,
                   8225: and the documents you make change more often than the pictures do.  It also
                   8226: saves a lot of TeX memory.  One last advantage of using the METAFONT driver
                   8227: is that the DVI file really remains device independent, because no \\special
                   8228: commands are used as in the eepic and tpic drivers."
                   8229:
                   8230: @node mif, pbm, mf, terminal
                   8231: @subsubsection mif
                   8232:
                   8233: @c ?commands set terminal mif
                   8234: @c ?set terminal mif
                   8235: @c ?set term mif
                   8236: @c ?terminal mif
                   8237: @c ?term mif
                   8238: @cindex mif
                   8239: @tmindex mif
                   8240:
                   8241:
                   8242: The `mif` terminal driver produces Frame Maker MIF format version 3.00.  It
                   8243: plots in MIF Frames with the size 15*10 cm, and plot primitives with the same
                   8244: pen will be grouped in the same MIF group.  Plot primitives in a `gnuplot`
                   8245: page will be plotted in a MIF Frame, and several MIF Frames are collected in
                   8246: one large MIF Frame.  The MIF font used for text is "Times".
                   8247:
                   8248: Several options may be set in the MIF 3.00 driver.
                   8249:
                   8250: Syntax:
                   8251: @example
                   8252:       set terminal mif @{colour | monochrome@} @{polyline | vectors@}
                   8253:                        @{help | ?@}
                   8254:
                   8255: @end example
                   8256:
                   8257: `colour` plots lines with line types >= 0 in colour (MIF sep. 2--7) and
                   8258: `monochrome` plots all line types in black (MIF sep. 0).
                   8259: `polyline` plots curves as continuous curves and `vectors` plots curves as
                   8260: collections of vectors.
                   8261: @ref{help} and `?` print online help on standard error output---both print a
                   8262: short description of the usage; @ref{help} also lists the options;
                   8263:
                   8264: Examples:
                   8265: @example
                   8266:       set term mif colour polylines    # defaults
                   8267:       set term mif                     # defaults
                   8268:       set term mif vectors
                   8269:       set term mif help"
                   8270:
                   8271: @end example
                   8272:
                   8273: @node pbm, png, mif, terminal
                   8274: @subsubsection pbm
                   8275:
                   8276: @c ?commands set terminal pbm
                   8277: @c ?set terminal pbm
                   8278: @c ?set term pbm
                   8279: @c ?terminal pbm
                   8280: @c ?term pbm
                   8281: @cindex pbm
                   8282: @tmindex pbm
                   8283:
                   8284:
                   8285: Several options may be set in the `pbm` terminal---the driver for PBMplus.
                   8286:
                   8287: Syntax:
                   8288: @example
                   8289:       set terminal pbm @{<fontsize>@} @{<mode>@}
                   8290:
                   8291: @end example
                   8292:
                   8293: where <fontsize> is `small`, `medium`, or `large` and <mode> is `monochrome`,
                   8294: `gray` or `color`.  The default plot size is 640 pixels wide and 480 pixels
                   8295: high; this may be changed by @ref{size}.
                   8296:
                   8297: The output of the `pbm` driver depends upon <mode>: `monochrome` produces a
                   8298: portable bitmap (one bit per pixel), `gray` a portable graymap (three bits
                   8299: per pixel) and `color` a portable pixmap (color, four bits per pixel).
                   8300:
                   8301: The output of this driver can be used with Jef Poskanzer's excellent PBMPLUS
                   8302: package, which provides programs to convert the above PBMPLUS formats to GIF,
                   8303: TIFF, MacPaint, Macintosh PICT, PCX, X11 bitmap and many others.  PBMPLUS may
                   8304: be obtained from ftp.x.org.  The relevant files have names that begin with
                   8305: "netpbm-1mar1994.p1"; they reside in /contrib/utilities.  The package can
                   8306: probably also be obtained from one of the many sites that mirrors ftp.x.org.
                   8307:
                   8308: Examples:
                   8309: @example
                   8310:       set terminal pbm small monochrome             # defaults
                   8311:       set size 2,2; set terminal pbm color medium"
                   8312:
                   8313: @end example
                   8314:
                   8315: @node png, postscript, pbm, terminal
                   8316: @subsubsection png
                   8317:
                   8318: @c ?commands set terminal png
                   8319: @c ?set terminal png
                   8320: @c ?set term png
                   8321: @c ?terminal png
                   8322: @c ?term png
                   8323: @cindex png
                   8324: @tmindex png
                   8325:
                   8326:
                   8327: The `png` terminal driver supports Portable Network Graphics.  To compile it,
                   8328: you will need  the third-party libraries "libpng" and "zlib"; both are
                   8329: available at ftp://ftp.uu.net/graphics/png.  `png` has two options.
                   8330:
                   8331: Syntax:
                   8332: @example
                   8333:       set terminal png @{small | medium | large@}
                   8334:                        @{monochrome | gray | color@}
                   8335:
                   8336: @end example
                   8337:
                   8338: The defaults are small (fontsize) and monochrome.  Default size of the output
                   8339: is 640*480 pixel."
                   8340:
                   8341: @node postscript, pslatex_and_pstex, png, terminal
                   8342: @subsubsection postscript
                   8343:
                   8344: @c ?commands set terminal postscript
                   8345: @c ?set terminal postscript
                   8346: @c ?set term postscript
                   8347: @c ?terminal postscript
                   8348: @c ?term postscript
                   8349: @cindex postscript
                   8350: @tmindex postscript
                   8351:
                   8352:
                   8353: Several options may be set in the `postscript` driver.
                   8354:
                   8355: Syntax:
                   8356: @example
                   8357:       set terminal postscript @{<mode>@} @{enhanced | noenhanced@}
                   8358:                               @{color | monochrome@} @{solid | dashed@}
                   8359:                               @{<duplexing>@}
                   8360:                               @{"<fontname>"@} @{<fontsize>@}
                   8361:
                   8362: @end example
                   8363:
                   8364: where <mode> is `landscape`, `portrait`, `eps` or `default`;
                   8365: `solid` draws all plots with solid lines, overriding any dashed patterns;
                   8366: <duplexing> is `defaultplex`, `simplex` or `duplex` ("duplexing" in
                   8367: PostScript is the ability of the printer to print on both sides of the same
                   8368: page---don't set this if your printer can't do it);
                   8369: `enhanced` activates the "enhanced PostScript" features (subscripts,
                   8370: superscripts and mixed fonts);
                   8371: `"<fontname>"` is the name of a valid PostScript font; and `<fontsize>` is
                   8372: the size of the font in PostScript points.
                   8373:
                   8374: `default` mode sets all options to their defaults: `landscape`, `monochrome`,
                   8375: `dashed`, `defaultplex`, `noenhanced`, "Helvetica" and 14pt.
                   8376: @example
                   8377:  Default size of a PostScript plot is 10 inches wide and 7 inches high.
                   8378:
                   8379: @end example
                   8380:
                   8381: `eps` mode generates EPS (Encapsulated PostScript) output, which is just
                   8382: regular PostScript with some additional lines that allow the file to be
                   8383: imported into a variety of other applications.  (The added lines are
                   8384: PostScript comment lines, so the file may still be printed by itself.)  To
                   8385: get EPS output, use the `eps` mode and make only one plot per file.  In `eps`
                   8386: mode the whole plot, including the fonts, is reduced to half of the default
                   8387: size.
                   8388:
                   8389: Examples:
                   8390: @example
                   8391:       set terminal postscript default       # old postscript
                   8392:       set terminal postscript enhanced      # old enhpost
                   8393:       set terminal postscript landscape 22  # old psbig
                   8394:       set terminal postscript eps 14        # old epsf1
                   8395:       set terminal postscript eps 22        # old epsf2
                   8396:       set size 0.7,1.4; set term post portrait color "Times-Roman" 14
                   8397:
                   8398: @end example
                   8399:
                   8400: Linewidths and pointsizes may be changed with @ref{linestyle}.
                   8401:
                   8402: The `postscript` driver supports about 70 distinct pointtypes, selectable
                   8403: through the `pointtype` option on @ref{plot} and @ref{linestyle}.
                   8404:
                   8405: Several possibly useful files about `gnuplot`'s PostScript are included
                   8406: in the /docs/ps subdirectory of the `gnuplot` distribution and at the
                   8407: distribution sites.  These are "ps_symbols.gpi" (a `gnuplot` command file
                   8408: that, when executed, creates the file "ps_symbols.ps" which shows all the
                   8409: symbols available through the `postscript` terminal), "ps_guide.ps" (a
                   8410: PostScript file that contains a summary of the enhanced syntax and a page
                   8411: showing what the octal codes produce with text and symbol fonts) and
                   8412: "ps_file.doc" (a text file that contains a discussion of the organization
                   8413: of a PostScript file written by `gnuplot`).
                   8414:
                   8415: A PostScript file is editable, so once `gnuplot` has created one, you are
                   8416: free to modify it to your heart's desire.  See the "editing postscript"
                   8417: section for some hints.
                   8418:
                   8419:
                   8420: @noindent --- ENHANCED POSTSCRIPT ---
                   8421:
                   8422: @c ?commands set terminal postscript enhanced
                   8423: @c ?set terminal postscript enhanced
                   8424: @c ?set term postscript enhanced
                   8425: @c ?terminal postscript enhanced
                   8426: @c ?term postscript enhanced
                   8427: @cindex enhanced_postscript
                   8428:
                   8429:
                   8430: @example
                   8431:  Control      Examples        Explanation
                   8432:   ^           a^x             superscript
                   8433:   _           a_x             subscript
                   8434:   @@           @@x or a@@^b_c    phantom box (occupies no width)
                   8435:   &           &@{space@}        inserts space of specified length
                   8436:
                   8437: @end example
                   8438:
                   8439:
                   8440: Braces can be used to place multiple-character text where a single character
                   8441: is expected (e.g., 2^@{10@}).  To change the font and/or size, use the full
                   8442: form:  @{/[fontname][=fontsize | *fontscale] text@}.  Thus @{/Symbol=20 G@} is a
                   8443: 20-point GAMMA) and @{/*0.75 K@} is a K at three-quarters of whatever fontsize
                   8444: is currently in effect.  (The '/' character MUST be the first character after
                   8445: the '@{'.)
                   8446:
                   8447: If the encoding vector has been changed by @ref{encoding}, the default
                   8448: encoding vector can be used instead by following the slash with a dash.  This
                   8449: is unnecessary if you use the Symbol font, however---since /Symbol uses its
                   8450: own encoding vector, `gnuplot` will not apply any other encoding vector to
                   8451: it.
                   8452:
                   8453: The phantom box is useful for a@@^b_c to align superscripts and subscripts
                   8454: but does not work well for overwriting an accent on a letter.  (To do the
                   8455: latter, it is much better to use `set encoding iso_8859_1` to change to the
                   8456: ISO Latin-1 encoding vector, which contains a large variety of letters with
                   8457: accents or other diacritical marks.)  Since the box is non-spacing, it is
                   8458: sensible to put the shorter of the subscript or superscript in the box (that
                   8459: is, after the @@).
                   8460:
                   8461: Space equal in length to a string can be inserted using the '&' character.
                   8462: Thus
                   8463: @example
                   8464:         'abc&@{def@}ghi'
                   8465: @end example
                   8466:
                   8467: would produce
                   8468: @example
                   8469:         'abc   ghi'.
                   8470:
                   8471: @end example
                   8472:
                   8473: You can access special symbols numerically by specifying \\character-code (in
                   8474: octal), e.g., @{/Symbol \\245@} is the symbol for infinity.
                   8475:
                   8476: You can escape control characters using \\, e.g.,  \\\\, \\@{, and so on.
                   8477:
                   8478: But be aware that strings in double-quotes are parsed differently than those
                   8479: enclosed in single-quotes.  The major difference is that backslashes may need
                   8480: to be doubled when in double-quoted strings.
                   8481:
                   8482: Examples (these are hard to describe in words---try them!):
                   8483: @example
                   8484:       set xlabel 'Time (10^6 @{/Symbol m@}s)'
                   8485:       set title '@{/Symbol=18 \\362@@_@{/=9.6 0@}^@{/=12 x@}@} \\
                   8486:                  @{/Helvetica e^@{-@{/Symbol m@}^2/2@} d@}@{/Symbol m@}'
                   8487:
                   8488: @end example
                   8489:
                   8490: The file "ps_guide.ps" in the /docs/ps subdirectory of the `gnuplot` source
                   8491: distribution contains more examples of the enhanced syntax.
                   8492:
                   8493:
                   8494: @noindent --- EDITING POSTSCRIPT ---
                   8495:
                   8496: @c ?commands set terminal postscript editing
                   8497: @c ?set terminal postscript editing
                   8498: @c ?set term postscript editing
                   8499: @c ?terminal postscript editing
                   8500: @c ?term postscript editing
                   8501: @cindex editing_postscript
                   8502:
                   8503: The PostScript language is a very complex language---far too complex to
                   8504: describe in any detail in this document.  Nevertheless there are some things
                   8505: in a PostScript file written by `gnuplot` that can be changed without risk of
                   8506: introducing fatal errors into the file.
                   8507:
                   8508: For example, the PostScript statement "/Color true def" (written into the
                   8509: file in response to the command `set terminal postscript color`), may be
                   8510: altered in an obvious way to generate a black-and-white version of a plot.
                   8511: Similarly line colors, text colors, line weights and symbol sizes can also be
                   8512: altered in straight-forward ways.  Text (titles and labels) can be edited to
                   8513: correct misspellings or to change fonts.  Anything can be repositioned, and
                   8514: of course anything can be added or deleted, but modifications such as these
                   8515: may require deeper knowledge of the PostScript language.
                   8516:
                   8517: The organization of a PostScript file written by `gnuplot` is discussed in
                   8518: the text file "ps_file.doc" in the /docs/ps subdirectory."
                   8519:
                   8520: @node pslatex_and_pstex, pstricks, postscript, terminal
                   8521: @subsubsection pslatex and pstex
                   8522:
                   8523: @c ?commands set terminal pslatex
                   8524: @c ?set terminal pslatex
                   8525: @c ?set term pslatex
                   8526: @c ?terminal pslatex
                   8527: @c ?term pslatex
                   8528: @cindex pslatex
                   8529: @tmindex pslatex
                   8530:
                   8531:
                   8532: @c ?commands set terminal pstex
                   8533: @c ?set terminal pstex
                   8534: @c ?set term pstex
                   8535: @c ?terminal pstex
                   8536: @c ?term pstex
                   8537: @cindex pstex
                   8538: @tmindex pstex
                   8539:
                   8540:
                   8541: The `pslatex` and `pstex` drivers generate output for further processing by
                   8542: LaTeX and TeX, respectively.  Figures generated by `pstex` can be included
                   8543: in any plain-based format (including LaTeX).
                   8544:
                   8545: Syntax:
                   8546: @example
                   8547:       set terminal pslatex | |pstex @{<color>@} @{<dashed>@} @{<rotate>@}
                   8548:                                     @{auxfile@} @{<font_size>@}
                   8549:
                   8550: @end example
                   8551:
                   8552: <color> is either `color` or `monochrome`.  <rotate> is either `rotate` or
                   8553: `norotate` and determines if the y-axis label is rotated.  <font_size> is
                   8554: used to scale the font from its usual size.
                   8555:
                   8556: If `auxfile` is specified, it directs the driver to put the PostScript
                   8557: commands into an auxiliary file instead of directly into the LaTeX file.
                   8558: This is useful if your pictures are large enough that dvips cannot handle
                   8559: them.  The name of the auxiliary PostScript file is derived from the name of
                   8560: the TeX file given on the @ref{output} command; it is determined by replacing
                   8561: the trailing `.tex` (actually just the final extent in the file name) with
                   8562: `.ps` in the output file name, or, if the TeX file has no extension, `.ps`
                   8563: is appended.  Remember to close the file before leaving `gnuplot`.
                   8564:
                   8565: All drivers for LaTeX offer a special way of controlling text positioning:
                   8566: If any text string begins with '@{', you also need to include a '@}' at the
                   8567: end of the text, and the whole text will be centered both horizontally
                   8568: and vertically by LaTeX. --- If the text string begins with '[', you need
                   8569: to continue it with: a position specification (up to two out of t,b,l,r),
                   8570: ']@{', the text itself, and finally, '@}'. The text itself may be anything
                   8571: LaTeX can typeset as an LR-box. \\rule@{@}@{@}'s may help for best positioning.
                   8572:
                   8573: Examples:
                   8574: @example
                   8575:       set term pslatex monochrome dashed rotate       # set to defaults
                   8576: @end example
                   8577:
                   8578: To write the PostScript commands into the file "foo.ps":
                   8579: @example
                   8580:       set term pslatex auxfile
                   8581:       set output "foo.tex"; plot ...: set output
                   8582: @end example
                   8583:
                   8584: About label positioning:
                   8585: Use gnuplot defaults (mostly sensible, but sometimes not really best):
                   8586: @example
                   8587:        set title '\\LaTeX\\ -- $ \\gamma $'
                   8588: @end example
                   8589:
                   8590: Force centering both horizontally and vertically:
                   8591: @example
                   8592:        set label '@{\\LaTeX\\ -- $ \\gamma $@}' at 0,0
                   8593: @end example
                   8594:
                   8595: Specify own positioning (top here):
                   8596: @example
                   8597:        set xlabel '[t]@{\\LaTeX\\ -- $ \\gamma $@}'
                   8598: @end example
                   8599:
                   8600: The other label -- account for long ticlabels:
                   8601: @example
                   8602:        set ylabel '[r]@{\\LaTeX\\ -- $ \\gamma $\\rule@{7mm@}@{0pt@}'
                   8603:
                   8604: @end example
                   8605:
                   8606: Linewidths and pointsizes may be changed with @ref{linestyle}."
                   8607:
                   8608: @node pstricks, qms, pslatex_and_pstex, terminal
                   8609: @subsubsection pstricks
                   8610:
                   8611: @c ?commands set terminal pstricks
                   8612: @c ?set terminal pstricks
                   8613: @c ?set term pstricks
                   8614: @c ?terminal pstricks
                   8615: @c ?term pstricks
                   8616: @cindex pstricks
                   8617: @tmindex pstricks
                   8618:
                   8619:
                   8620: The `pstricks` driver is intended for use with the "pstricks.sty" macro
                   8621: package for LaTeX.  It is an alternative to the `eepic` and `latex` drivers.
                   8622: You need "pstricks.sty", and, of course, a printer that understands
                   8623: PostScript, or a converter such as Ghostscript.
                   8624:
                   8625: PSTricks is available via anonymous ftp from the /pub directory at
                   8626: Princeton.EDU.  This driver definitely does not come close to using the full
                   8627: capability of the PSTricks package.
                   8628:
                   8629: Syntax:
                   8630: @example
                   8631:       set terminal pstricks @{hacktext | nohacktext@} @{unit | nounit@}
                   8632:
                   8633: @end example
                   8634:
                   8635: The first option invokes an ugly hack that gives nicer numbers; the second
                   8636: has to do with plot scaling.  The defaults are `hacktext` and `nounit`."
                   8637:
                   8638: @node qms, regis, pstricks, terminal
                   8639: @subsubsection qms
                   8640:
                   8641: @c ?commands set terminal qms
                   8642: @c ?set terminal qms
                   8643: @c ?set term qms
                   8644: @c ?terminal qms
                   8645: @c ?term qms
                   8646: @cindex qms
                   8647: @tmindex qms
                   8648:
                   8649:
                   8650: The `qms` terminal driver supports the QMS/QUIC Laser printer, the Talaris
                   8651: 1200 and others.  It has no options."
                   8652:
                   8653: @node regis, sun, qms, terminal
                   8654: @subsubsection regis
                   8655:
                   8656: @c ?commands set terminal regis
                   8657: @c ?set terminal regis
                   8658: @c ?set term regis
                   8659: @c ?terminal regis
                   8660: @c ?term regis
                   8661: @cindex regis
                   8662: @tmindex regis
                   8663:
                   8664:
                   8665: The `regis` terminal device generates output in the REGIS graphics language.
                   8666: It has the option of using 4 (the default) or 16 colors.
                   8667:
                   8668: Syntax:
                   8669: @example
                   8670:       set terminal regis @{4 | 16@}"
                   8671:
                   8672: @end example
                   8673:
                   8674: @node sun, tek410x, regis, terminal
                   8675: @subsubsection sun
                   8676:
                   8677: @c ?commands set terminal sun
                   8678: @c ?set terminal sun
                   8679: @c ?set term sun
                   8680: @c ?terminal sun
                   8681: @c ?term sun
                   8682: @cindex sun
                   8683: @tmindex sun
                   8684:
                   8685:
                   8686: The `sun` terminal driver supports the SunView window system.  It has no
                   8687: options."
                   8688:
                   8689: @node tek410x, table, sun, terminal
                   8690: @subsubsection tek410x
                   8691:
                   8692: @c ?commands set terminal tek410x
                   8693: @c ?set terminal tek410x
                   8694: @c ?set term tek410x
                   8695: @c ?terminal tek410x
                   8696: @c ?term tek410x
                   8697: @cindex tek410x
                   8698: @tmindex tek410x
                   8699:
                   8700:
                   8701: The `tek410x` terminal driver supports the 410x and 420x family of Tektronix
                   8702: terminals.  It has no options."
                   8703:
                   8704: @node table, tek40, tek410x, terminal
                   8705: @subsubsection table
                   8706:
                   8707: @c ?commands set terminal table
                   8708: @c ?set terminal table
                   8709: @c ?set term table
                   8710: @c ?terminal table
                   8711: @c ?term table
                   8712: @cindex table
                   8713: @tmindex table
                   8714:
                   8715:
                   8716: Instead of producing a graph, the `table` terminal prints out the points on
                   8717: which a graph would be based, i.e., the results of processing the @ref{plot} or
                   8718: `splot` command, in a multicolumn ASCII table of X Y @{Z@} R values.  The
                   8719: character R takes on one of three values: "i" if the point is in the active
                   8720: range, "o" if it is out-of-range, or "u" if it is undefined.  The data
                   8721: format is determined by the format of the axis labels (see `set format`).
                   8722:
                   8723: For those times when you want the numbers, you can display them on the
                   8724: screen or save them to a file.  This can be useful if you want to generate
                   8725: contours and then save them for further use, perhaps for plotting with
                   8726: @ref{plot};  see @ref{contour} for an example.  The same method can be used to
                   8727: save interpolated data (see @ref{samples} and @ref{dgrid3d})."
                   8728:
                   8729: @node tek40, texdraw, table, terminal
                   8730: @subsubsection tek40
                   8731:
                   8732: @c ?commands set terminal tek40xx
                   8733: @c ?set terminal tek40xx
                   8734: @c ?set term tek40xx
                   8735: @c ?terminal tek40xx
                   8736: @c ?terminal tek40xx
                   8737: @cindex tek40
                   8738: @tmindex tek40
                   8739:
                   8740:
                   8741: @c ?commands set terminal vttek
                   8742: @c ?set terminal vttek
                   8743: @c ?set term vttek
                   8744: @c ?terminal vttek
                   8745: @c ?term vttek
                   8746: @cindex vttek
                   8747: @tmindex vttek
                   8748:
                   8749:
                   8750: @c ?commands set terminal kc-tek40xx
                   8751: @c ?set terminal kc-tek40xx
                   8752: @c ?set term kc-tek40xx
                   8753: @c ?terminal kc-tek40xx
                   8754: @c ?term kc-tek40xx
                   8755: @cindex kc-tek40xx
                   8756: @tmindex kc-tek40xx
                   8757:
                   8758:
                   8759: @c ?commands set terminal km-tek40xx
                   8760: @c ?set terminal km-tek40xx
                   8761: @c ?set term km-tek40xx
                   8762: @c ?terminal km-tek40xx
                   8763: @c ?term km-tek40xx
                   8764: @cindex km-tek40xx
                   8765: @tmindex km-tek40xx
                   8766:
                   8767:
                   8768: @c ?commands set terminal selanar
                   8769: @c ?set terminal selanar
                   8770: @c ?set term selanar
                   8771: @c ?terminal selanar
                   8772: @c ?term selanar
                   8773: @cindex selanar
                   8774: @tmindex selanar
                   8775:
                   8776:
                   8777: @c ?commands set terminal bitgraph
                   8778: @c ?set terminal bitgraph
                   8779: @c ?set term bitgraph
                   8780: @c ?terminal bitgraph
                   8781: @c ?term bitgraph
                   8782: @cindex bitgraph
                   8783: @tmindex bitgraph
                   8784:
                   8785:
                   8786: This family of terminal drivers supports a variety of VT-like terminals.
                   8787: `tek40xx` supports Tektronix 4010 and others as well as most TEK emulators;
                   8788: `vttek` supports VT-like tek40xx terminal emulators; `kc-tek40xx` supports
                   8789: MS-DOS Kermit Tek4010 terminal emulators in color: `km-tek40xx` supports them
                   8790: in monochrome; `selanar` supports Selanar graphics; and `bitgraph` supports
                   8791: BBN Bitgraph terminals.  None have any options."
                   8792:
                   8793: @node texdraw, tgif, tek40, terminal
                   8794: @subsubsection texdraw
                   8795:
                   8796: @c ?commands set terminal texdraw
                   8797: @c ?set terminal texdraw
                   8798: @c ?set term texdraw
                   8799: @c ?terminal texdraw
                   8800: @c ?term texdraw
                   8801: @cindex texdraw
                   8802: @tmindex texdraw
                   8803:
                   8804:
                   8805: The `texdraw` terminal driver supports the LaTeX texdraw environment.  It is
                   8806: intended for use with "texdraw.sty" and "texdraw.tex" in the texdraw package.
                   8807:
                   8808: It has no options."
                   8809:
                   8810: @node tgif, tkcanvas, texdraw, terminal
                   8811: @subsubsection tgif
                   8812:
                   8813: @c ?commands set terminal tgif
                   8814: @c ?set terminal tgif
                   8815: @c ?set term tgif
                   8816: @c ?terminal tgif
                   8817: @c ?term tgif
                   8818: @cindex tgif
                   8819: @tmindex tgif
                   8820:
                   8821:
                   8822: Tgif is an X11-based drawing tool---it has nothing to do with GIF.
                   8823:
                   8824: The `tgif` driver supports different pointsizes (with @ref{pointsize}),
                   8825: different label fonts and font sizes (e.g. `set label "Hallo" at x,y font
                   8826: "Helvetica,34"`) and multiple graphs on the page.  The proportions of the
                   8827: axes are not changed.
                   8828:
                   8829: Syntax:
                   8830: @example
                   8831:       set terminal tgif @{portrait | landscape@} @{<[x,y]>@}
                   8832:                         @{solid | dashed@}
                   8833:                         @{"<fontname>"@} @{<fontsize>@}
                   8834:
                   8835: @end example
                   8836:
                   8837: where <[x,y]> specifies the number of graphs in the x and y directions on the
                   8838: page, "<fontname>" is the name of a valid PostScript font, and <fontsize>
                   8839: specifies the size of the PostScript font.  Defaults are `portrait`, `[1,1]`,
                   8840: `dashed`, `"Helvetica"`, and `18`.
                   8841:
                   8842: The `solid` option is usually prefered if lines are colored, as they often
                   8843: are in the editor.  Hardcopy will be black-and-white, so `dashed` should be
                   8844: chosen for that.
                   8845:
                   8846: Multiplot is implemented in two different ways.
                   8847:
                   8848: The first multiplot implementation is the standard gnuplot multiplot feature:
                   8849:
                   8850: @example
                   8851:       set terminal tgif
                   8852:       set output "file.obj"
                   8853:       set multiplot
                   8854:       set origin x01,y01
                   8855:       set size  xs,ys
                   8856:       plot ...
                   8857:            ...
                   8858:       set origin x02,y02
                   8859:       plot ...
                   8860:       set nomultiplot
                   8861:
                   8862: @end example
                   8863:
                   8864: See @ref{multiplot} for further information.
                   8865:
                   8866: The second version is the [x,y] option for the driver itself.  The advantage
                   8867: of this implementation is that everything is scaled and placed automatically
                   8868: without the need for setting origins and sizes; the graphs keep their natural
                   8869: x/y proportions of 3/2 (or whatever is fixed by @ref{size}).
                   8870:
                   8871: If both multiplot methods are selected, the standard method is chosen and a
                   8872: warning message is given.
                   8873:
                   8874: Examples of single plots (or standard multiplot):
                   8875: @example
                   8876:       set terminal tgif                  # defaults
                   8877:       set terminal tgif "Times-Roman" 24
                   8878:       set terminal tgif landscape
                   8879:       set terminal tgif landscape solid
                   8880:
                   8881: @end example
                   8882:
                   8883: Examples using the built-in multiplot mechanism:
                   8884: @example
                   8885:       set terminal tgif portrait [2,4]  # portrait; 2 plots in the x-
                   8886:                                         # and 4 in the y-direction
                   8887:       set terminal tgif [1,2]           # portrait; 1 plot in the x-
                   8888:                                         # and 2 in the y-direction
                   8889:       set terminal tgif landscape [3,3] # landscape; 3 plots in both
                   8890:                                         # directions"
                   8891:
                   8892: @end example
                   8893:
                   8894: @node tkcanvas, tpic, tgif, terminal
                   8895: @subsubsection tkcanvas
                   8896:
                   8897: @c ?commands set terminal tkcanvas
                   8898: @c ?set terminal tkcanvas
                   8899: @c ?set term tkcanvas
                   8900: @c ?terminal tkcanvas
                   8901: @c ?term tkcanvas
                   8902: @cindex tkcanvas
                   8903: @tmindex tkcanvas
                   8904:
                   8905:
                   8906: This terminal driver generates Tk canvas widget commands based on Tcl/Tk
                   8907: (default) or Perl.  To use it, rebuild `gnuplot` (after uncommenting or
                   8908: inserting the appropriate line in "term.h"), then
                   8909:
                   8910: @example
                   8911:  gnuplot> set term tkcanvas @{perltk@} @{interactive@}
                   8912:  gnuplot> set output 'plot.file'
                   8913:
                   8914: @end example
                   8915:
                   8916: After invoking "wish", execute the following sequence of Tcl/Tk commands:
                   8917:
                   8918: @example
                   8919:  % source plot.file
                   8920:  % canvas .c
                   8921:  % pack .c
                   8922:  % gnuplot .c
                   8923:
                   8924: @end example
                   8925:
                   8926: Or, for Perl/Tk use a program like this:
                   8927:
                   8928: @example
                   8929:  use Tk;
                   8930:  my $top = MainWindow->new;
                   8931:  my $c = $top->Canvas;
                   8932:  $c->pack();
                   8933:  do "plot.pl";
                   8934:  gnuplot->($c);
                   8935:  MainLoop;
                   8936:
                   8937: @end example
                   8938:
                   8939: The code generated by `gnuplot` creates a procedure called "gnuplot"
                   8940: that takes the name of a canvas as its argument.  When the procedure is
                   8941: called, it clears the canvas, finds the size of the canvas and draws the plot
                   8942: in it, scaled to fit.
                   8943:
                   8944: For 2-dimensional plotting (@ref{plot}) two additional procedures are defined:
                   8945: "gnuplot_plotarea" will return a list containing the borders of the plotting
                   8946: area "xleft, xright, ytop, ybot" in canvas screen coordinates, while the ranges
                   8947: of the two axes "x1min, x1max, y1min, y1max, x2min, x2max, y2min, y2max" in plot
                   8948: coordinates can be obtained calling "gnuplot_axisranges".
                   8949: If the "interactive" option is specified, mouse clicking on a line segment
                   8950: will print the coordinates of its midpoint to stdout. Advanced actions
                   8951: can happen instead if the user supplies a procedure named
                   8952: "user_gnuplot_coordinates", which takes the following arguments:
                   8953: "win id x1s y1s x2s y2s x1e y1e x2e y2e x1m y1m x2m y2m",
                   8954: the name of the canvas and the id of the line segment followed by the
                   8955: coordinates of its start and end point in the two possible axis ranges; the
                   8956: coordinates of the midpoint are only filled for logarithmic axes.
                   8957:
                   8958: The current version of `tkcanvas` supports neither @ref{multiplot} nor @ref{replot}."
                   8959:
                   8960: @node tpic, x11, tkcanvas, terminal
                   8961: @subsubsection tpic
                   8962:
                   8963: @c ?commands set terminal tpic
                   8964: @c ?set terminal tpic
                   8965: @c ?set term tpic
                   8966: @c ?terminal tpic
                   8967: @c ?term tpic
                   8968: @cindex tpic
                   8969: @tmindex tpic
                   8970:
                   8971:
                   8972: The `tpic` terminal driver supports the LaTeX picture environment with tpic
                   8973: \\specials.  It is an alternative to the `latex` and `eepic` terminal drivers.
                   8974: Options are the point size, line width, and dot-dash interval.
                   8975:
                   8976: Syntax:
                   8977: @example
                   8978:       set terminal tpic <pointsize> <linewidth> <interval>
                   8979:
                   8980: @end example
                   8981:
                   8982: where @ref{pointsize} and `linewidth` are integers in milli-inches and `interval`
                   8983: is a float in inches.  If a non-positive value is specified, the default is
                   8984: chosen: pointsize = 40, linewidth = 6, interval = 0.1.
                   8985:
                   8986: All drivers for LaTeX offer a special way of controlling text positioning:
                   8987: If any text string begins with '@{', you also need to include a '@}' at the
                   8988: end of the text, and the whole text will be centered both horizontally
                   8989: and vertically by LaTeX. --- If the text string begins with '[', you need
                   8990: to continue it with: a position specification (up to two out of t,b,l,r),
                   8991: ']@{', the text itself, and finally, '@}'. The text itself may be anything
                   8992: LaTeX can typeset as an LR-box. \\rule@{@}@{@}'s may help for best positioning.
                   8993:
                   8994: Examples:
                   8995: About label positioning:
                   8996: Use gnuplot defaults (mostly sensible, but sometimes not really best):
                   8997: @example
                   8998:        set title '\\LaTeX\\ -- $ \\gamma $'
                   8999: @end example
                   9000:
                   9001: Force centering both horizontally and vertically:
                   9002: @example
                   9003:        set label '@{\\LaTeX\\ -- $ \\gamma $@}' at 0,0
                   9004: @end example
                   9005:
                   9006: Specify own positioning (top here):
                   9007: @example
                   9008:        set xlabel '[t]@{\\LaTeX\\ -- $ \\gamma $@}'
                   9009: @end example
                   9010:
                   9011: The other label -- account for long ticlabels:
                   9012: @example
                   9013:        set ylabel '[r]@{\\LaTeX\\ -- $ \\gamma $\\rule@{7mm@}@{0pt@}'"
                   9014:
                   9015: @end example
                   9016:
                   9017: @node x11, xlib, tpic, terminal
                   9018: @subsubsection x11
                   9019:
                   9020: @c ?commands set terminal x11
                   9021: @c ?set terminal x11
                   9022: @c ?set term x11
                   9023: @c ?terminal x11
                   9024: @c ?term x11
                   9025: @cindex x11
                   9026:
                   9027: @cindex X11
                   9028:
                   9029: `gnuplot` provides the `x11` terminal type for use with X servers.  This
                   9030: terminal type is set automatically at startup if the `DISPLAY` environment
                   9031: variable is set, if the `TERM` environment variable is set to `xterm`, or
                   9032: if the `-display` command line option is used.
                   9033:
                   9034: Syntax:
                   9035: @example
                   9036:       set terminal x11 @{reset@} @{<n>@}
                   9037:
                   9038: @end example
                   9039:
                   9040: Multiple plot windows are supported: `set terminal x11 <n>` directs the
                   9041: output to plot window number n.  If n>0, the terminal number will be
                   9042: appended to the window title and the icon will be labeled `gplt <n>`.
                   9043: The active window may distinguished by a change in cursor (from default
                   9044: to crosshair.)
                   9045:
                   9046: Plot windows remain open even when the `gnuplot` driver is changed to a
                   9047: different device.  A plot window can be closed by pressing the letter q
                   9048: while that window has input focus, or by choosing `close` from a window
                   9049: manager menu.  All plot windows can be closed by specifying @ref{reset}, which
                   9050: actually terminates the subprocess which maintains the windows (unless
                   9051: `-persist` was specified).
                   9052:
                   9053: Plot windows will automatically be closed at the end of the session
                   9054: unless the `-persist` option was given.
                   9055:
                   9056: The size or aspect ratio of a plot may be changed by resizing the `gnuplot`
                   9057: window.
                   9058:
                   9059: Linewidths and pointsizes may be changed from within `gnuplot` with
                   9060: @ref{linestyle}.
                   9061:
                   9062: For terminal type `x11`, `gnuplot` accepts (when initialized) the standard
                   9063: X Toolkit options and resources such as geometry, font, and name from the
                   9064: command line arguments or a configuration file.  See the X(1) man page
                   9065: (or its equivalent) for a description of such options.
                   9066:
                   9067: A number of other `gnuplot` options are available for the `x11` terminal.
                   9068: These may be specified either as command-line options when `gnuplot` is
                   9069: invoked or as resources in the configuration file "/.Xdefaults".  They are
                   9070: set upon initialization and cannot be altered during a `gnuplot` session.
                   9071:
                   9072:
                   9073: @noindent --- COMMAND-LINE_OPTIONS ---
                   9074:
                   9075: @c ?commands set terminal x11 command-line-options
                   9076: @c ?set terminal x11 command-line-options
                   9077: @c ?set term x11 command-line-options
                   9078: @c ?x11 command-line-options
                   9079: @cindex command-line-options
                   9080:
                   9081: In addition to the X Toolkit options, the following options may be specified
                   9082: on the command line when starting `gnuplot` or as resources in your
                   9083: ".Xdefaults" file:
                   9084:
                   9085: @example
                   9086:  `-clear`   requests that the window be cleared momentarily before a
                   9087:             new plot is displayed.
                   9088:  `-gray`    requests grayscale rendering on grayscale or color displays.
                   9089:             (Grayscale displays receive monochrome rendering by default.)
                   9090:  `-mono`    forces monochrome rendering on color displays.
                   9091:  `-persist` plot windows survive after main gnuplot program exits
                   9092:  `-raise`   raise plot window after each plot
                   9093:  `-noraise` do not raise plot window after each plot
                   9094:  `-tvtwm`   requests that geometry specifications for position of the
                   9095:             window be made relative to the currently displayed portion
                   9096:             of the virtual root.
                   9097:
                   9098: @end example
                   9099:
                   9100: The options are shown above in their command-line syntax.  When entered as
                   9101: resources in ".Xdefaults", they require a different syntax.
                   9102:
                   9103: Example:
                   9104: @example
                   9105:       gnuplot*gray: on
                   9106:
                   9107: @end example
                   9108:
                   9109: `gnuplot` also provides a command line option (`-pointsize <v>`) and a
                   9110: resource, `gnuplot*pointsize: <v>`, to control the size of points plotted
                   9111: with the `points` plotting style.  The value `v` is a real number (greater
                   9112: than 0 and less than or equal to ten) used as a scaling factor for point
                   9113: sizes.  For example, `-pointsize 2` uses points twice the default size, and
                   9114: `-pointsize 0.5` uses points half the normal size.
                   9115:
                   9116:
                   9117: @noindent --- MONOCHOME_OPTIONS ---
                   9118:
                   9119: @c ?commands set terminal x11 monochrome_options
                   9120: @c ?set terminal x11 monochrome_options
                   9121: @c ?set term x11 monochrome_options
                   9122: @c ?x11 monochrome_options
                   9123: @cindex monochrome_options
                   9124:
                   9125: For monochrome displays, `gnuplot` does not honor foreground or background
                   9126: colors.  The default is black-on-white.  `-rv` or `gnuplot*reverseVideo: on`
                   9127: requests white-on-black.
                   9128:
                   9129:
                   9130:
                   9131: @noindent --- COLOR_RESOURCES ---
                   9132:
                   9133: @c ?commands set terminal x11 color_resources
                   9134: @c ?set terminal x11 color_resources
                   9135: @c ?set term x11 color_resources
                   9136: @c ?x11 color_resources
                   9137: @cindex color_resources
                   9138:
                   9139: For color displays, `gnuplot` honors the following resources (shown here
                   9140: with their default values) or the greyscale resources.  The values may be
                   9141: color names as listed in the X11 rgb.txt file on your system, hexadecimal
                   9142: RGB color specifications (see X11 documentation), or a color name followed
                   9143: by a comma and an `intensity` value from 0 to 1.  For example, `blue, 0.5`
                   9144: means a half intensity blue.
                   9145:
                   9146: @example
                   9147:  gnuplot*background:  white
                   9148:  gnuplot*textColor:   black
                   9149:  gnuplot*borderColor: black
                   9150:  gnuplot*axisColor:   black
                   9151:  gnuplot*line1Color:  red
                   9152:  gnuplot*line2Color:  green
                   9153:  gnuplot*line3Color:  blue
                   9154:  gnuplot*line4Color:  magenta
                   9155:  gnuplot*line5Color:  cyan
                   9156:  gnuplot*line6Color:  sienna
                   9157:  gnuplot*line7Color:  orange
                   9158:  gnuplot*line8Color:  coral
                   9159:
                   9160: @end example
                   9161:
                   9162:
                   9163: The command-line syntax for these is, for example,
                   9164:
                   9165: Example:
                   9166: @example
                   9167:       gnuplot -background coral
                   9168:
                   9169: @end example
                   9170:
                   9171:
                   9172:
                   9173: @noindent --- GRAYSCALE_RESOURCES ---
                   9174:
                   9175: @c ?commands set terminal x11 grayscale_resources
                   9176: @c ?set terminal x11 grayscale_resources
                   9177: @c ?set term x11 grayscale_resources
                   9178: @c ?x11 grayscale_resources
                   9179: @cindex grayscale_resources
                   9180:
                   9181: When `-gray` is selected, `gnuplot` honors the following resources for
                   9182: grayscale or color displays (shown here with their default values).  Note
                   9183: that the default background is black.
                   9184:
                   9185: @example
                   9186:  gnuplot*background: black
                   9187:  gnuplot*textGray:   white
                   9188:  gnuplot*borderGray: gray50
                   9189:  gnuplot*axisGray:   gray50
                   9190:  gnuplot*line1Gray:  gray100
                   9191:  gnuplot*line2Gray:  gray60
                   9192:  gnuplot*line3Gray:  gray80
                   9193:  gnuplot*line4Gray:  gray40
                   9194:  gnuplot*line5Gray:  gray90
                   9195:  gnuplot*line6Gray:  gray50
                   9196:  gnuplot*line7Gray:  gray70
                   9197:  gnuplot*line8Gray:  gray30
                   9198:
                   9199: @end example
                   9200:
                   9201:
                   9202:
                   9203:
                   9204: @noindent --- LINE_RESOURCES ---
                   9205:
                   9206: @c ?commands set terminal x11 line_resources
                   9207: @c ?set terminal x11 line_resources
                   9208: @c ?set term x11 line_resources
                   9209: @c ?x11 line_resources
                   9210: @cindex line_resources
                   9211:
                   9212: `gnuplot` honors the following resources for setting the width (in pixels) of
                   9213: plot lines (shown here with their default values.)  0 or 1 means a minimal
                   9214: width line of 1 pixel width.  A value of 2 or 3 may improve the appearance of
                   9215: some plots.
                   9216:
                   9217: @example
                   9218:  gnuplot*borderWidth: 2
                   9219:  gnuplot*axisWidth:   0
                   9220:  gnuplot*line1Width:  0
                   9221:  gnuplot*line2Width:  0
                   9222:  gnuplot*line3Width:  0
                   9223:  gnuplot*line4Width:  0
                   9224:  gnuplot*line5Width:  0
                   9225:  gnuplot*line6Width:  0
                   9226:  gnuplot*line7Width:  0
                   9227:  gnuplot*line8Width:  0
                   9228:
                   9229: @end example
                   9230:
                   9231:
                   9232: `gnuplot` honors the following resources for setting the dash style used for
                   9233: plotting lines.  0 means a solid line.  A two-digit number `jk` (`j` and `k`
                   9234: are >= 1  and <= 9) means a dashed line with a repeated pattern of `j` pixels
                   9235: on followed by `k` pixels off.  For example, '16' is a "dotted" line with one
                   9236: pixel on followed by six pixels off.  More elaborate on/off patterns can be
                   9237: specified with a four-digit value.  For example, '4441' is four on, four off,
                   9238: four on, one off.  The default values shown below are for monochrome displays
                   9239: or monochrome rendering on color or grayscale displays.  For color displays,
                   9240: the default for each is 0 (solid line) except for `axisDashes` which defaults
                   9241: to a '16' dotted line.
                   9242:
                   9243: @example
                   9244:  gnuplot*borderDashes:   0
                   9245:  gnuplot*axisDashes:    16
                   9246:  gnuplot*line1Dashes:    0
                   9247:  gnuplot*line2Dashes:   42
                   9248:  gnuplot*line3Dashes:   13
                   9249:  gnuplot*line4Dashes:   44
                   9250:  gnuplot*line5Dashes:   15
                   9251:  gnuplot*line6Dashes: 4441
                   9252:  gnuplot*line7Dashes:   42
                   9253:  gnuplot*line8Dashes:   13
                   9254:
                   9255: @end example
                   9256:
                   9257:
                   9258: @node xlib,  , x11, terminal
                   9259: @subsubsection xlib
                   9260:
                   9261: @c ?commands set terminal xlib
                   9262: @c ?set terminal xlib
                   9263: @c ?set term xlib
                   9264: @c ?terminal xlib
                   9265: @c ?term xlib
                   9266: @cindex xlib
                   9267: @tmindex xlib
                   9268:
                   9269:
                   9270: The `xlib` terminal driver supports the X11 Windows System.  It generates
                   9271: gnulib_x11 commands.  `set term x11` behaves similarly to `set terminal xlib;
                   9272: set output "|gnuplot_x11"`.  `xlib` has no options, but see `x11`."
                   9273:
                   9274: @node tics, ticslevel, terminal, set-show
                   9275: @subsection tics
                   9276:
                   9277: @c ?commands set tics
                   9278: @c ?commands show tics
                   9279: @c ?set tics
                   9280: @c ?show tics
                   9281: @cindex tics
                   9282: @opindex tics
                   9283:
                   9284:
                   9285: The `set tics` command can be used to change the tics to be drawn outwards.
                   9286:
                   9287: Syntax:
                   9288: @example
                   9289:       set tics @{<direction>@}
                   9290:       show tics
                   9291:
                   9292: @end example
                   9293:
                   9294: where <direction> may be `in` (the default) or `out`.
                   9295:
                   9296: See also @ref{xtics} for more control of major (labelled) tic marks and @ref{mxtics} for control of minor tic marks.
                   9297:
                   9298: @node ticslevel, ticscale, tics, set-show
                   9299: @subsection ticslevel
                   9300:
                   9301: @c ?commands set ticslevel
                   9302: @c ?commands show ticslevel
                   9303: @c ?set ticslevel
                   9304: @c ?show ticslevel
                   9305: @cindex ticslevel
                   9306: @opindex ticslevel
                   9307:
                   9308:
                   9309: Using `splot`, one can adjust the relative height of the vertical (Z) axis
                   9310: using @ref{ticslevel}.  The numeric argument provided specifies the location
                   9311: of the bottom of the scale (as a fraction of the z-range) above the xy-plane.
                   9312: The default value is 0.5.  Negative values are permitted, but tic labels on
                   9313: the three axes may overlap.
                   9314:
                   9315: To place the xy-plane at a position 'pos' on the z-axis, @ref{ticslevel} should
                   9316: be set equal to  (pos - zmin) / (zmin - zmax).
                   9317:
                   9318: Syntax:
                   9319: @example
                   9320:       set ticslevel @{<level>@}
                   9321:       show tics
                   9322:
                   9323: @end example
                   9324:
                   9325: See also @ref{view}.
                   9326:
                   9327: @node ticscale, timestamp, ticslevel, set-show
                   9328: @subsection ticscale
                   9329:
                   9330: @c ?commands set ticscale
                   9331: @c ?commands show ticscale
                   9332: @c ?set ticscale
                   9333: @c ?show ticscale
                   9334: @cindex ticscale
                   9335: @opindex ticscale
                   9336:
                   9337:
                   9338: The size of the tic marks can be adjusted with @ref{ticscale}.
                   9339:
                   9340: Syntax:
                   9341: @example
                   9342:       set ticscale @{<major> @{<minor>@}@}
                   9343:       show tics
                   9344:
                   9345: @end example
                   9346:
                   9347: If <minor> is not specified, it is 0.5*<major>.  The default size is 1.0 for
                   9348: major tics and 0.5 for minor tics.  Note that it is possible to have the tic
                   9349: marks pointing outward by specifying a negative size.
                   9350:
                   9351: @node timestamp, timefmt, ticscale, set-show
                   9352: @subsection timestamp
                   9353:
                   9354: @c ?commands set timestamp
                   9355: @c ?commands set time
                   9356: @c ?commands set notimestamp
                   9357: @c ?commands show timestamp
                   9358: @c ?set timestamp
                   9359: @c ?set time
                   9360: @c ?set notimestamp
                   9361: @c ?show timestamp
                   9362: @cindex timestamp
                   9363: @opindex timestamp
                   9364:
                   9365:
                   9366: @cindex notimestamp
                   9367:
                   9368: The command @ref{timestamp} places the time and date of the plot in the left
                   9369: margin.
                   9370:
                   9371: Syntax:
                   9372: @example
                   9373:       set timestamp @{"<format>"@} @{top|bottom@} @{@{no@}rotate@}
                   9374:                     @{<xoff>@}@{,<yoff>@} @{"<font>"@}
                   9375:       set notimestamp
                   9376:       show timestamp
                   9377:
                   9378: @end example
                   9379:
                   9380: The format string allows you to choose the format used to write the date and
                   9381: time.  Its default value is what asctime() uses: "%a %b %d %H:%M:%S %Y"
                   9382: (weekday, month name, day of the month, hours, minutes, seconds, four-digit
                   9383: year).  With `top` or `bottom` you can place the timestamp at the top or
                   9384: bottom of the left margin (default: bottom).  `rotate` lets you write the
                   9385: timestamp vertically, if your terminal supports vertical text.  The constants
                   9386: <xoff> and <off> are offsets from the default position given in character
                   9387: screen coordinates.  <font> is used to specify the font with which the time
                   9388: is to be written.
                   9389:
                   9390: The abbreviation `time` may be used in place of @ref{timestamp}.
                   9391:
                   9392: Example:
                   9393: @example
                   9394:       set timestamp "%d/%m/%y %H:%M" 80,-2 "Helvetica"
                   9395:
                   9396: @end example
                   9397:
                   9398: See @ref{timefmt} for more information about time format strings.
                   9399:
                   9400: @node timefmt, title_, timestamp, set-show
                   9401: @subsection timefmt
                   9402:
                   9403: @c ?commands set timefmt
                   9404: @c ?commands show timefmt
                   9405: @c ?set timefmt
                   9406: @c ?show timefmt
                   9407: @cindex timefmt
                   9408: @opindex timefmt
                   9409:
                   9410:
                   9411: This command applies to timeseries where data are composed of dates/times.
                   9412: It has no meaning unless the command `set xdata time` is given also.
                   9413:
                   9414: Syntax:
                   9415: @example
                   9416:       set timefmt "<format string>"
                   9417:       show timefmt
                   9418:
                   9419: @end example
                   9420:
                   9421: The string argument tells `gnuplot` how to read timedata from the datafile.
                   9422: The valid formats are:
                   9423:
                   9424:
                   9425: @example
                   9426:       Format       Explanation
                   9427:       %d           day of the month, 1--31
                   9428:       %m           month of the year, 1--12
                   9429:       %y           year, 0--99
                   9430:       %Y           year, 4-digit
                   9431:       %j           day of the year, 1--365
                   9432:       %H           hour, 0--24
                   9433:       %M           minute, 0--60
                   9434:       %S           second, 0--60
                   9435:       %b           three-character abbreviation of the name of the month
                   9436:       %B           name of the month
                   9437:
                   9438: @end example
                   9439:
                   9440: Any character is allowed in the string, but must match exactly.  \t (tab) is
                   9441: recognized.  Backslash-octals (\nnn) are converted to char.  If there is no
                   9442: separating character between the time/date elements, then %d, %m, %y, %H, %M
                   9443: and %S read two digits each, %Y reads four digits and %j reads three digits.
                   9444: %b requires three characters, and %B requires as many as it needs.
                   9445:
                   9446: Spaces are treated slightly differently.  A space in the string stands for
                   9447: zero or more whitespace characters in the file.  That is, "%H %M" can be used
                   9448: to read "1220" and "12     20" as well as "12 20".
                   9449:
                   9450: Each set of non-blank characters in the timedata counts as one column in the
                   9451: `using n:n` specification.  Thus `11:11  25/12/76  21.0` consists of three
                   9452: columns.  To avoid confusion, `gnuplot` requires that you provide a complete
                   9453: @ref{using} specification if your file contains timedata.
                   9454:
                   9455: Since `gnuplot` cannot read non-numerical text, if the date format includes
                   9456: the day or month in words, the format string must exclude this text.  But
                   9457: it can still be printed with the "%a", "%A", "%b", or "%B" specifier: see
                   9458: `set format` for more details about these and other options for printing
                   9459: timedata.  (`gnuplot` will determine the proper month and weekday from the
                   9460: numerical values.)
                   9461:
                   9462: See also @ref{xdata} and `Time/date` for more information.
                   9463:
                   9464: Example:
                   9465: @example
                   9466:       set timefmt "%d/%m/%Y\t%H:%M"
                   9467: @end example
                   9468:
                   9469: tells `gnuplot` to read date and time separated by tab.  (But look closely at
                   9470: your data---what began as a tab may have been converted to spaces somewhere
                   9471: along the line; the format string must match what is actually in the file.)
                   9472: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/timedat.html,Time Data Demo }
                   9473:
                   9474: @node title_, tmargin, timefmt, set-show
                   9475: @subsection title
                   9476:
                   9477: @c ?commands set title
                   9478: @c ?commands show title
                   9479: @c ?set title
                   9480: @c ?show title
                   9481: @cindex title
                   9482: @opindex title
                   9483:
                   9484:
                   9485: The `set title` command produces a plot title that is centered at the top of
                   9486: the plot.  `set title` is a special case of @ref{label}.
                   9487:
                   9488: Syntax:
                   9489: @example
                   9490:       set title @{"<title-text>"@} @{<xoff>@}@{,<yoff>@} @{"<font>,@{<size>@}"@}
                   9491:       show title
                   9492:
                   9493: @end example
                   9494:
                   9495: Specifying constants <xoff> or <yoff> as optional offsets for the title will
                   9496: move the title <xoff> or <yoff> character screen coordinates (not graph
                   9497: coordinates).  For example, "`set title ,-1`" will change only the y offset
                   9498: of the title, moving the title down by roughly the height of one character.
                   9499:
                   9500: <font> is used to specify the font with which the title is to be written;
                   9501: the units of the font <size> depend upon which terminal is used.
                   9502:
                   9503: `set title` with no parameters clears the title.
                   9504:
                   9505: See `syntax` for details about the processing of backslash sequences and
                   9506: the distinction between single- and double-quotes.
                   9507:
                   9508: @node tmargin, trange, title_, set-show
                   9509: @subsection tmargin
                   9510:
                   9511: @c ?commands set tmargin
                   9512: @c ?set tmargin
                   9513: @cindex tmargin
                   9514: @opindex tmargin
                   9515:
                   9516:
                   9517: The command @ref{tmargin} sets the size of the top margin.  Please see
                   9518: @ref{margin} for details.
                   9519:
                   9520: @node trange, urange, tmargin, set-show
                   9521: @subsection trange
                   9522:
                   9523: @c ?commands set trange
                   9524: @c ?commands show trange
                   9525: @c ?set trange
                   9526: @c ?show trange
                   9527: @cindex trange
                   9528: @opindex trange
                   9529:
                   9530:
                   9531: The @ref{trange} command sets the parametric range used to compute x and y
                   9532: values when in parametric or polar modes.  Please see @ref{xrange} for
                   9533: details.
                   9534:
                   9535: @node urange, variables, trange, set-show
                   9536: @subsection urange
                   9537:
                   9538: @c ?commands set urange
                   9539: @c ?commands show urange
                   9540: @c ?set urange
                   9541: @c ?show urange
                   9542: @cindex urange
                   9543: @opindex urange
                   9544:
                   9545:
                   9546: The @ref{urange} and @ref{vrange} commands set the parametric ranges used
                   9547: to compute x, y, and z values when in `splot` parametric mode.  Please see
                   9548: @ref{xrange} for details.
                   9549:
                   9550: @node variables, version, urange, set-show
                   9551: @subsection variables
                   9552:
                   9553: @c ?commands show variables
                   9554: @c ?show variables
                   9555: The @ref{variables} command lists all user-defined variables and their
                   9556: values.
                   9557:
                   9558: Syntax:
                   9559: @example
                   9560:       show variables
                   9561:
                   9562: @end example
                   9563:
                   9564: @node version, view, variables, set-show
                   9565: @subsection version
                   9566:
                   9567: @c ?show version
                   9568: The @ref{version} command lists the version of gnuplot being run, its last
                   9569: modification date, the copyright holders, and email addresses for the FAQ,
                   9570: the info-gnuplot mailing list, and reporting bugs--in short, the information
                   9571: listed on the screen when the program is invoked interactively.
                   9572:
                   9573: Syntax:
                   9574: @example
                   9575:       show version @{long@}
                   9576:
                   9577: @end example
                   9578:
                   9579: When the `long` option is given, it also lists the operating system, the
                   9580: compilation options used when `gnuplot` was installed, the location of the
                   9581: help file, and (again) the useful email addresses.
                   9582:
                   9583: @node view, vrange, version, set-show
                   9584: @subsection view
                   9585:
                   9586: @c ?commands set view
                   9587: @c ?commands show view
                   9588: @c ?set view
                   9589: @c ?show view
                   9590: @cindex view
                   9591: @opindex view
                   9592:
                   9593:
                   9594: The @ref{view} command sets the viewing angle for `splot`s.  It controls how
                   9595: the 3-d coordinates of the plot are mapped into the 2-d screen space.  It
                   9596: provides controls for both rotation and scaling of the plotted data, but
                   9597: supports orthographic projections only.
                   9598:
                   9599: Syntax:
                   9600: @example
                   9601:       set view <rot_x> @{,@{<rot_z>@}@{,@{<scale>@}@{,<scale_z>@}@}@}
                   9602:       show view
                   9603:
                   9604: @end example
                   9605:
                   9606: where <rot_x> and <rot_z> control the rotation angles (in degrees) in a
                   9607: virtual 3-d coordinate system aligned with the screen such that initially
                   9608: (that is, before the rotations are performed) the screen horizontal axis is
                   9609: x, screen vertical axis is y, and the axis perpendicular to the screen is z.
                   9610: The first rotation applied is <rot_x> around the x axis.  The second rotation
                   9611: applied is <rot_z> around the new z axis.
                   9612:
                   9613: <rot_x> is bounded to the [0:180] range with a default of 60 degrees, while
                   9614: <rot_z> is bounded to the [0:360] range with a default of 30 degrees.
                   9615: <scale> controls the scaling of the entire `splot`, while <scale_z> scales
                   9616: the z axis only.  Both scales default to 1.0.
                   9617:
                   9618: Examples:
                   9619: @example
                   9620:       set view 60, 30, 1, 1
                   9621:       set view ,,0.5
                   9622:
                   9623: @end example
                   9624:
                   9625: The first sets all the four default values.  The second changes only scale,
                   9626: to 0.5.
                   9627:
                   9628: See also @ref{ticslevel}.
                   9629:
                   9630: @node vrange, x2data, view, set-show
                   9631: @subsection vrange
                   9632:
                   9633: @c ?commands set vrange
                   9634: @c ?commands show vrange
                   9635: @c ?set vrange
                   9636: @c ?show vrange
                   9637: @cindex vrange
                   9638: @opindex vrange
                   9639:
                   9640:
                   9641: The @ref{urange} and @ref{vrange} commands set the parametric ranges used
                   9642: to compute x, y, and z values when in `splot` parametric mode.  Please see
                   9643: @ref{xrange} for details.
                   9644:
                   9645: @node x2data, x2dtics, vrange, set-show
                   9646: @subsection x2data
                   9647:
                   9648: @c ?commands set x2data
                   9649: @c ?commands show x2data
                   9650: @c ?set x2data
                   9651: @c ?show x2data
                   9652: @cindex x2data
                   9653: @opindex x2data
                   9654:
                   9655:
                   9656: The @ref{x2data} command sets data on the x2 (top) axis to timeseries
                   9657: (dates/times).  Please see @ref{xdata}.
                   9658:
                   9659: @node x2dtics, x2label, x2data, set-show
                   9660: @subsection x2dtics
                   9661:
                   9662: @c ?commands set x2dtics
                   9663: @c ?commands set nox2dtics
                   9664: @c ?commands show x2dtics
                   9665: @c ?set x2dtics
                   9666: @c ?set nox2dtics
                   9667: @c ?show x2dtics
                   9668: @cindex x2dtics
                   9669: @opindex x2dtics
                   9670:
                   9671:
                   9672: @cindex nox2dtics
                   9673:
                   9674: The @ref{x2dtics} command changes tics on the x2 (top) axis to days of the
                   9675: week.  Please see @ref{xdtics} for details.
                   9676:
                   9677: @node x2label, x2mtics, x2dtics, set-show
                   9678: @subsection x2label
                   9679:
                   9680: @c ?commands set x2label
                   9681: @c ?commands show x2label
                   9682: @c ?set x2label
                   9683: @c ?show x2label
                   9684: @cindex x2label
                   9685: @opindex x2label
                   9686:
                   9687:
                   9688: The @ref{x2label} command sets the label for the x2 (top) axis.  Please see
                   9689: @ref{xlabel}.
                   9690:
                   9691: @node x2mtics, x2range, x2label, set-show
                   9692: @subsection x2mtics
                   9693:
                   9694: @c ?commands set x2mtics
                   9695: @c ?commands set nox2mtics
                   9696: @c ?commands show x2mtics
                   9697: @c ?set x2mtics
                   9698: @c ?set nox2mtics
                   9699: @c ?show x2mtics
                   9700: @cindex x2mtics
                   9701: @opindex x2mtics
                   9702:
                   9703:
                   9704: @cindex nox2mtics
                   9705:
                   9706: The @ref{x2mtics} command changes tics on the x2 (top) axis to months of the
                   9707: year.  Please see @ref{xmtics} for details.
                   9708:
                   9709: @node x2range, x2tics, x2mtics, set-show
                   9710: @subsection x2range
                   9711:
                   9712: @c ?commands set x2range
                   9713: @c ?commands show x2range
                   9714: @c ?set x2range
                   9715: @c ?show x2range
                   9716: @cindex x2range
                   9717: @opindex x2range
                   9718:
                   9719:
                   9720: The @ref{x2range} command sets the horizontal range that will be displayed on
                   9721: the x2 (top) axis.  Please see @ref{xrange} for details.
                   9722:
                   9723: @node x2tics, x2zeroaxis, x2range, set-show
                   9724: @subsection x2tics
                   9725:
                   9726: @c ?commands set x2tics
                   9727: @c ?commands set nox2tics
                   9728: @c ?commands show x2tics
                   9729: @c ?set x2tics
                   9730: @c ?set nox2tics
                   9731: @c ?show x2tics
                   9732: @cindex x2tics
                   9733: @opindex x2tics
                   9734:
                   9735:
                   9736: @cindex nox2tics
                   9737:
                   9738: The @ref{x2tics} command controls major (labelled) tics on the x2 (top) axis.
                   9739: Please see @ref{xtics} for details.
                   9740:
                   9741: @node x2zeroaxis, xdata, x2tics, set-show
                   9742: @subsection x2zeroaxis
                   9743:
                   9744: @c ?commands set x2zeroaxis
                   9745: @c ?commands set nox2zeroaxis
                   9746: @c ?commands show x2zeroaxis
                   9747: @c ?set x2zeroaxis
                   9748: @c ?set nox2zeroaxis
                   9749: @c ?show x2zeroaxis
                   9750: @cindex x2zeroaxis
                   9751: @opindex x2zeroaxis
                   9752:
                   9753:
                   9754: @cindex nox2zeroaxis
                   9755:
                   9756: The @ref{x2zeroaxis} command draws a line at the origin of the x2 (top) axis
                   9757: (y2 = 0).  For details, please see
                   9758: @ref{zeroaxis}.
                   9759:
                   9760: @node xdata, xdtics, x2zeroaxis, set-show
                   9761: @subsection xdata
                   9762:
                   9763: @c ?commands set xdata
                   9764: @c ?commands show xdata
                   9765: @c ?set xdata
                   9766: @c ?show xdata
                   9767: @cindex xdata
                   9768: @opindex xdata
                   9769:
                   9770:
                   9771: This command sets the datatype on the x axis to time/date.  A similar command
                   9772: does the same thing for each of the other axes.
                   9773:
                   9774: Syntax:
                   9775: @example
                   9776:       set xdata @{time@}
                   9777:       show xdata
                   9778:
                   9779: @end example
                   9780:
                   9781: The same syntax applies to @ref{ydata}, @ref{zdata}, @ref{x2data} and @ref{y2data}.
                   9782:
                   9783: The `time` option signals that the datatype is indeed time/date.  If the
                   9784: option is not specified, the datatype reverts to normal.
                   9785:
                   9786: See @ref{timefmt} to tell `gnuplot` how to read date or time data.  The
                   9787: time/date is converted to seconds from start of the century.  There is
                   9788: currently only one timefmt, which implies that all the time/date columns must
                   9789: confirm to this format.  Specification of ranges should be supplied as quoted
                   9790: strings according to this format to avoid interpretation of the time/date as
                   9791: an expression.
                   9792:
                   9793: The function 'strftime' (type "man strftime" on unix to look it up) is used
                   9794: to print tic-mark labels.  `gnuplot` tries to figure out a reasonable format
                   9795: for this  unless the `set format x "string"` has supplied something that does
                   9796: not look like a decimal format (more than one '%' or neither %f nor %g).
                   9797:
                   9798: See also `Time/date` for more information.
                   9799:
                   9800: @node xdtics, xlabel, xdata, set-show
                   9801: @subsection xdtics
                   9802:
                   9803: @c ?commands set xdtics
                   9804: @c ?commands set noxdtics
                   9805: @c ?commands show xdtics
                   9806: @c ?set xdtics
                   9807: @c ?set noxdtics
                   9808: @c ?show xdtics
                   9809: @cindex xdtics
                   9810: @opindex xdtics
                   9811:
                   9812:
                   9813: @cindex noxdtics
                   9814:
                   9815: The @ref{xdtics} commands converts the x-axis tic marks to days of the week
                   9816: where 0=Sun and 6=Sat.  Overflows are converted modulo 7 to dates.  `set
                   9817: noxdtics` returns the labels to their default values.  Similar commands do
                   9818: the same things for the other axes.
                   9819:
                   9820: Syntax:
                   9821: @example
                   9822:       set xdtics
                   9823:       set noxdtics
                   9824:       show xdtics
                   9825:
                   9826: @end example
                   9827:
                   9828: The same syntax applies to @ref{ydtics}, @ref{zdtics}, @ref{x2dtics} and @ref{y2dtics}.
                   9829:
                   9830: See also the `set format` command.
                   9831:
                   9832: @node xlabel, xmtics, xdtics, set-show
                   9833: @subsection xlabel
                   9834:
                   9835: @c ?commands set xlabel
                   9836: @c ?commands show xlabel
                   9837: @c ?set xlabel
                   9838: @c ?show xlabel
                   9839: @cindex xlabel
                   9840: @opindex xlabel
                   9841:
                   9842:
                   9843: The @ref{xlabel} command sets the x axis label.  Similar commands set labels
                   9844: on the other axes.
                   9845:
                   9846: Syntax:
                   9847: @example
                   9848:       set xlabel @{"<label>"@} @{<xoff>@}@{,<yoff>@} @{"<font>@{,<size>@}"@}
                   9849:       show xlabel
                   9850:
                   9851: @end example
                   9852:
                   9853: The same syntax applies to @ref{x2label}, @ref{ylabel}, @ref{y2label} and @ref{zlabel}.
                   9854:
                   9855: Specifying the constants <xoff> or <yoff> as optional offsets for a label
                   9856: will move it <xoff> or <yoff> character widths or heights.  For example,
                   9857: "` set xlabel -1`" will change only the x offset of the xlabel, moving the
                   9858: label roughly one character width to the left.   The size of a character
                   9859: depends on both the font and the terminal.
                   9860:
                   9861: <font> is used to specify the font in which the label is written; the units
                   9862: of the font <size> depend upon which terminal is used.
                   9863:
                   9864: To clear a label, put no options on the command line, e.g., "@ref{y2label}".
                   9865:
                   9866: The default positions of the axis labels are as follows:
                   9867:
                   9868: xlabel:  The x-axis label is centered below the bottom axis.
                   9869:
                   9870: ylabel:  The position of the y-axis label depends on the terminal, and can be
                   9871: one of the following three positions:
                   9872:
                   9873: 1. Horizontal text flushed left at the top left of the plot.  Terminals that
                   9874: cannot rotate text will probably use this method.  If @ref{x2tics} is also
                   9875: in use, the ylabel may overwrite the left-most x2tic label.  This may be
                   9876: remedied by adjusting the ylabel position or the left margin.
                   9877:
                   9878: 2. Vertical text centered vertically at the left of the plot.  Terminals
                   9879: that can rotate text will probably use this method.
                   9880:
                   9881: 3. Horizontal text centered vertically at the left of the plot.  The EEPIC,
                   9882: LaTeX and TPIC drivers use this method.  The user must insert line breaks
                   9883: using \\ to prevent the ylabel from overwriting the plot.  To produce a
                   9884: vertical row of characters, add \\ between every printing character (but this
                   9885: is ugly).
                   9886:
                   9887: zlabel: The z-axis label is centered along the z axis and placed in the space
                   9888: above the grid level.
                   9889:
                   9890: y2label: The y2-axis label is placed to the right of the y2 axis.  The
                   9891: position is terminal-dependent in the same manner as is the y-axis label.
                   9892:
                   9893: x2label: The x2-axis label is placed above the top axis but below the plot
                   9894: title.  It is also possible to create an x2-axis label by using new-line
                   9895: characters to make a multi-line plot title, e.g.,
                   9896:
                   9897: @example
                   9898:       set title "This is the title\n\nThis is the x2label"
                   9899:
                   9900: @end example
                   9901:
                   9902: Note that double quotes must be used.  The same font will be used for both
                   9903: lines, of course.
                   9904:
                   9905: If you are not satisfied with the default position of an axis label, use @ref{label} instead--that command gives you much more control over where text is
                   9906: placed.
                   9907:
                   9908: Please see `set syntax` for further information about backslash processing
                   9909: and the difference between single- and double-quoted strings.
                   9910:
                   9911: @node xmtics, xrange, xlabel, set-show
                   9912: @subsection xmtics
                   9913:
                   9914: @c ?commands set xmtics
                   9915: @c ?commands set noxmtics
                   9916: @c ?commands show xmtics
                   9917: @c ?set xmtics
                   9918: @c ?set noxmtics
                   9919: @c ?show xmtics
                   9920: @cindex xmtics
                   9921: @opindex xmtics
                   9922:
                   9923:
                   9924: @cindex noxmtics
                   9925:
                   9926: The @ref{xmtics} commands converts the x-axis tic marks to months of the
                   9927: year where 1=Jan and 12=Dec.  Overflows are converted modulo 12 to months.
                   9928: The tics are returned to their default labels by `set noxmtics`.  Similar
                   9929: commands perform the same duties for the other axes.
                   9930:
                   9931: Syntax:
                   9932: @example
                   9933:       set xmtics
                   9934:       set noxmtics
                   9935:       show xmtics
                   9936:
                   9937: @end example
                   9938:
                   9939: The same syntax applies to @ref{x2mtics}, @ref{ymtics}, @ref{y2mtics}, and @ref{zmtics}.
                   9940:
                   9941: See also the `set format` command.
                   9942:
                   9943: @node xrange, xtics, xmtics, set-show
                   9944: @subsection xrange
                   9945:
                   9946: @c ?commands set xrange
                   9947: @c ?commands show xrange
                   9948: @c ?set xrange
                   9949: @c ?show xrange
                   9950: @cindex xrange
                   9951: @opindex xrange
                   9952:
                   9953:
                   9954: The @ref{xrange} command sets the horizontal range that will be displayed.
                   9955: A similar command exists for each of the other axes, as well as for the
                   9956: polar radius r and the parametric variables t, u, and v.
                   9957:
                   9958: Syntax:
                   9959: @example
                   9960:       set xrange [@{@{<min>@}:@{<max>@}@}] @{@{no@}reverse@} @{@{no@}writeback@}
                   9961:       show xrange
                   9962:
                   9963: @end example
                   9964:
                   9965: where <min> and <max> terms are constants, expressions or an asterisk to set
                   9966: autoscaling.  If the data are time/date, you must give the range as a quoted
                   9967: string according to the @ref{timefmt} format.  Any value omitted will not be
                   9968: changed.
                   9969:
                   9970: The same syntax applies to @ref{yrange}, @ref{zrange}, @ref{x2range}, @ref{y2range},
                   9971: @ref{rrange}, @ref{trange}, @ref{urange} and @ref{vrange}.
                   9972:
                   9973: The `reverse` option reverses the direction of the axis, e.g., `set xrange
                   9974: [0:1] reverse` will produce an axis with 1 on the left and 0 on the right.
                   9975: This is identical to the axis produced by `set xrange [1:0]`, of course.
                   9976: `reverse` is intended primarily for use with @ref{autoscale}.
                   9977:
                   9978: The `writeback` option essentially saves the range found by @ref{autoscale} in
                   9979: the buffers that would be filled by @ref{xrange}.  This is useful if you wish
                   9980: to plot several functions together but have the range determined by only
                   9981: some of them.  The `writeback` operation is performed during the @ref{plot}
                   9982: execution, so it must be specified before that command.  For example,
                   9983:
                   9984: @example
                   9985:       set xrange [-10:10]
                   9986:       set yrange [] writeback
                   9987:       plot sin(x)
                   9988:       set noautoscale y
                   9989:       replot x/2
                   9990:
                   9991: @end example
                   9992:
                   9993: results in a yrange of [-1:1] as found only from the range of sin(x); the
                   9994: [-5:5] range of x/2 is ignored.  Executing @ref{yrange} after each command
                   9995: in the above example should help you understand what is going on.
                   9996:
                   9997: In 2-d, @ref{xrange} and @ref{yrange} determine the extent of the axes, @ref{trange}
                   9998: determines the range of the parametric variable in parametric mode or the
                   9999: range of the angle in polar mode.  Similarly in parametric 3-d, @ref{xrange},
                   10000: @ref{yrange}, and @ref{zrange} govern the axes and @ref{urange} and @ref{vrange} govern the
                   10001: parametric variables.
                   10002:
                   10003: In polar mode, @ref{rrange} determines the radial range plotted.  <rmin> acts as
                   10004: an additive constant to the radius, whereas <rmax> acts as a clip to the
                   10005: radius---no point with radius greater than <rmax> will be plotted.  @ref{xrange}
                   10006: and @ref{yrange} are affected---the ranges can be set as if the graph was of
                   10007: r(t)-rmin, with rmin added to all the labels.
                   10008:
                   10009: Any range may be partially or totally autoscaled, although it may not make
                   10010: sense to autoscale a parametric variable unless it is plotted with data.
                   10011:
                   10012: Ranges may also be specified on the @ref{plot} command line.  A range given on
                   10013: the plot line will be used for that single @ref{plot} command; a range given by
                   10014: a `set` command will be used for all subsequent plots that do not specify
                   10015: their own ranges.  The same holds true for `splot`.
                   10016:
                   10017: Examples:
                   10018:
                   10019: To set the xrange to the default:
                   10020: @example
                   10021:       set xrange [-10:10]
                   10022:
                   10023: @end example
                   10024:
                   10025: To set the yrange to increase downwards:
                   10026: @example
                   10027:       set yrange [10:-10]
                   10028:
                   10029: @end example
                   10030:
                   10031: To change zmax to 10 without affecting zmin (which may still be autoscaled):
                   10032: @example
                   10033:       set zrange [:10]
                   10034:
                   10035: @end example
                   10036:
                   10037: To autoscale xmin while leaving xmax unchanged:
                   10038: @example
                   10039:       set xrange [*:]
                   10040:
                   10041: @end example
                   10042:
                   10043: @node xtics, xzeroaxis, xrange, set-show
                   10044: @subsection xtics
                   10045:
                   10046: @c ?commands set xtics
                   10047: @c ?commands set noxtics
                   10048: @c ?commands show xtics
                   10049: @c ?set xtics
                   10050: @c ?set noxtics
                   10051: @c ?show xtics
                   10052: @cindex xtics
                   10053: @opindex xtics
                   10054:
                   10055:
                   10056: @cindex noxtics
                   10057:
                   10058: Fine control of the major (labelled) tics on the x axis is possible with the
                   10059: @ref{xtics} command.  The tics may be turned off with the `set noxtics`
                   10060: command, and may be turned on (the default state) with @ref{xtics}.  Similar
                   10061: commands control the major tics on the y, z, x2 and y2 axes.
                   10062:
                   10063: Syntax:
                   10064: @example
                   10065:       set xtics @{axis | border@} @{@{no@}mirror@} @{@{no@}rotate@}
                   10066:                 @{  autofreq
                   10067:                  | <incr>
                   10068:                  | <start>, <incr> @{,<end>@}
                   10069:                  | (@{"<label>"@} <pos> @{,@{"<label>"@} <pos>@}...) @}
                   10070:       set noxtics
                   10071:       show xtics
                   10072:
                   10073: @end example
                   10074:
                   10075: The same syntax applies to @ref{ytics}, @ref{ztics}, @ref{x2tics} and @ref{y2tics}.
                   10076:
                   10077: `axis` or @ref{border} tells `gnuplot` to put the tics (both the tics themselves
                   10078: and the accompanying labels) along the axis or the border, respectively.  If
                   10079: the axis is very close to the border, the `axis` option can result in tic
                   10080: labels overwriting other text written in the margin.
                   10081:
                   10082: `mirror` tells `gnuplot` to put unlabelled tics at the same positions on the
                   10083: opposite border.  `nomirror` does what you think it does.
                   10084:
                   10085: `rotate` asks `gnuplot` to rotate the text through 90 degrees, which will be
                   10086: done if the terminal driver in use supports text rotation.  `norotate`
                   10087: cancels this.
                   10088:
                   10089: The defaults are `border mirror norotate` for tics on the x and y axes, and
                   10090: `border nomirror norotate` for tics on the x2 and y2 axes.  For the z axis,
                   10091: the the `@{axis | border@}` option is not available and the default is
                   10092: `nomirror`.  If you do want to mirror the z-axis tics, you might want to
                   10093: create a bit more room for them with @ref{border}.
                   10094:
                   10095: @ref{xtics} with no options restores the default border or axis if xtics are
                   10096: being displayed;  otherwise it has no effect.  Any previously specified tic
                   10097: frequency or position @{and labels@} are retained.
                   10098:
                   10099: Positions of the tics are calculated automatically by default or if the
                   10100: `autofreq` option is given; otherwise they may be specified in either of
                   10101: two forms:
                   10102:
                   10103: The implicit <start>, <incr>, <end> form specifies that a series of tics will
                   10104: be plotted on the axis between the values <start> and <end> with an increment
                   10105: of <incr>.  If <end> is not given, it is assumed to be infinity.  The
                   10106: increment may be negative.  If neither <start> nor <end> is given, <start> is
                   10107: assumed to be negative infinity, <end> is assumed to be positive infinity,
                   10108: and the tics will be drawn at integral multiples of <step>.  If the axis is
                   10109: logarithmic, the increment will be used as a multiplicative factor.
                   10110:
                   10111: Examples:
                   10112:
                   10113: Make tics at 0, 0.5, 1, 1.5, ..., 9.5, 10.
                   10114: @example
                   10115:       set xtics 0,.5,10
                   10116:
                   10117: @end example
                   10118:
                   10119: Make tics at ..., -10, -5, 0, 5, 10, ...
                   10120: @example
                   10121:       set xtics 5
                   10122:
                   10123: @end example
                   10124:
                   10125: Make tics at 1, 100, 1e4, 1e6, 1e8.
                   10126: @example
                   10127:       set logscale x; set xtics 1,100,10e8
                   10128:
                   10129: @end example
                   10130:
                   10131: The explicit ("<label>" <pos>, ...) form allows arbitrary tic positions or
                   10132: non-numeric tic labels.  A set of tics is a set of positions, each with its
                   10133: own optional label.  Note that the label is a string enclosed by quotes.  It
                   10134: may be a constant string, such as "hello", may contain formatting information
                   10135: for converting the position into its label, such as "%3f clients", or may be
                   10136: empty, "".  See `set format` for more information.  If no string is given,
                   10137: the default label (numerical) is used.  In this form, the tics do not need to
                   10138: be listed in numerical order.
                   10139:
                   10140: Examples:
                   10141: @example
                   10142:       set xtics ("low" 0, "medium" 50, "high" 100)
                   10143:       set xtics (1,2,4,8,16,32,64,128,256,512,1024)
                   10144:       set ytics ("bottom" 0, "" 10, "top" 20)
                   10145:
                   10146: @end example
                   10147:
                   10148: In the second example, all tics are labelled.  In the third, only the end
                   10149: tics are labelled.
                   10150:
                   10151: However they are specified, tics will only be plotted when in range.
                   10152:
                   10153: Format (or omission) of the tic labels is controlled by `set format`, unless
                   10154: the explicit text of a labels is included in the `set xtic (`<label>`)` form.
                   10155:
                   10156: Minor (unlabelled) tics can be added by the @ref{mxtics} command.
                   10157:
                   10158: In case of timeseries data, position values must be given as quoted dates
                   10159: or times according to the format @ref{timefmt}.  If the <start>, <incr>, <end>
                   10160: form is used, <start> and <end> must be given according to @ref{timefmt}, but
                   10161: <incr> must be in seconds.  Times will be written out according to the format
                   10162: given on `set format`, however.
                   10163:
                   10164: Examples:
                   10165: @example
                   10166:       set xdata time
                   10167:       set timefmt "%d/%m"
                   10168:       set format x "%b %d"
                   10169:       set xrange ["01/12":"06/12"]
                   10170:       set xtics "01/12", 172800, "05/12"
                   10171:
                   10172: @end example
                   10173:
                   10174: @example
                   10175:       set xdata time
                   10176:       set timefmt "%d/%m"
                   10177:       set format x "%b %d"
                   10178:       set xrange ["01/12":"06/12"]
                   10179:       set xtics ("01/12", "" "03/12", "05/12")
                   10180: @end example
                   10181:
                   10182: Both of these will produce tics "Dec 1", "Dec 3", and "Dec 5", but in the
                   10183: second example the tic at "Dec 3" will be unlabelled.
                   10184:
                   10185:
                   10186: @node xzeroaxis, y2data, xtics, set-show
                   10187: @subsection xzeroaxis
                   10188:
                   10189: @c ?commands set xzeroaxis
                   10190: @c ?commands set noxzeroaxis
                   10191: @c ?commands show xzeroaxis
                   10192: @c ?set xzeroaxis
                   10193: @c ?set noxzeroaxis
                   10194: @c ?show xzeroaxis
                   10195: @cindex xzeroaxis
                   10196: @opindex xzeroaxis
                   10197:
                   10198:
                   10199: @cindex noxzeroaxis
                   10200:
                   10201: The @ref{xzeroaxis} command draws a line at y = 0.  For details, please see
                   10202: @ref{zeroaxis}.
                   10203:
                   10204: @node y2data, y2dtics, xzeroaxis, set-show
                   10205: @subsection y2data
                   10206:
                   10207: @c ?commands set y2data
                   10208: @c ?commands show y2data
                   10209: @c ?set y2data
                   10210: @c ?show y2data
                   10211: @cindex y2data
                   10212: @opindex y2data
                   10213:
                   10214:
                   10215: The @ref{y2data} command sets y2 (right-hand) axis data to timeseries
                   10216: (dates/times).  Please see @ref{xdata}.
                   10217:
                   10218: @node y2dtics, y2label, y2data, set-show
                   10219: @subsection y2dtics
                   10220:
                   10221: @c ?commands set y2dtics
                   10222: @c ?commands set noy2dtics
                   10223: @c ?set y2dtics
                   10224: @c ?set noy2dtics
                   10225: @c ?show y2dtics
                   10226: @cindex y2dtics
                   10227: @opindex y2dtics
                   10228:
                   10229:
                   10230: @cindex noy2dtics
                   10231:
                   10232: The @ref{y2dtics} command changes tics on the y2 (right-hand) axis to days of
                   10233: the week.  Please see @ref{xdtics} for details.
                   10234:
                   10235: @node y2label, y2mtics, y2dtics, set-show
                   10236: @subsection y2label
                   10237:
                   10238: @c ?commands set y2label
                   10239: @c ?commands show y2label
                   10240: @c ?set y2label
                   10241: @c ?show y2label
                   10242: @cindex y2label
                   10243: @opindex y2label
                   10244:
                   10245:
                   10246: The @ref{y2dtics} command sets the label for the y2 (right-hand) axis.
                   10247: Please see @ref{xlabel}.
                   10248:
                   10249: @node y2mtics, y2range, y2label, set-show
                   10250: @subsection y2mtics
                   10251:
                   10252: @c ?commands set y2mtics
                   10253: @c ?commands set noy2mtics
                   10254: @c ?commands show y2mtics
                   10255: @c ?set y2mtics
                   10256: @c ?set noy2mtics
                   10257: @c ?show y2mtics
                   10258: @cindex y2mtics
                   10259: @opindex y2mtics
                   10260:
                   10261:
                   10262: @cindex noy2mtics
                   10263:
                   10264: The @ref{y2mtics} command changes tics on the y2 (right-hand) axis to months
                   10265: of the year.  Please see @ref{xmtics} for details.
                   10266:
                   10267: @node y2range, y2tics, y2mtics, set-show
                   10268: @subsection y2range
                   10269:
                   10270: @c ?commands set y2range
                   10271: @c ?commands show y2range
                   10272: @c ?set y2range
                   10273: @c ?show y2range
                   10274: @cindex y2range
                   10275: @opindex y2range
                   10276:
                   10277:
                   10278: The @ref{y2range} command sets the vertical range that will be displayed on
                   10279: the y2 (right-hand) axis.  Please see @ref{xrange} for details.
                   10280:
                   10281: @node y2tics, y2zeroaxis, y2range, set-show
                   10282: @subsection y2tics
                   10283:
                   10284: @c ?commands set y2tics
                   10285: @c ?commands set noy2tics
                   10286: @c ?commands show y2tics
                   10287: @c ?set y2tics
                   10288: @c ?set noy2tics
                   10289: @c ?show y2tics
                   10290: @cindex y2tics
                   10291: @opindex y2tics
                   10292:
                   10293:
                   10294: @cindex noy2tics
                   10295:
                   10296: The @ref{y2tics} command controls major (labelled) tics on the y2 (right-hand)
                   10297: axis.  Please see @ref{xtics} for details.
                   10298:
                   10299: @node y2zeroaxis, ydata, y2tics, set-show
                   10300: @subsection y2zeroaxis
                   10301:
                   10302: @c ?commands set y2zeroaxis
                   10303: @c ?commands set noy2zeroaxis
                   10304: @c ?commands show y2zeroaxis
                   10305: @c ?set y2zeroaxis
                   10306: @c ?set noy2zeroaxis
                   10307: @c ?show y2zeroaxis
                   10308: @cindex y2zeroaxis
                   10309: @opindex y2zeroaxis
                   10310:
                   10311:
                   10312: @cindex noy2zeroaxis
                   10313:
                   10314: The @ref{y2zeroaxis} command draws a line at the origin of the y2 (right-hand)
                   10315: axis (x2 = 0).  For details, please see @ref{zeroaxis}.
                   10316:
                   10317: @node ydata, ydtics, y2zeroaxis, set-show
                   10318: @subsection ydata
                   10319:
                   10320: @c ?commands set ydata
                   10321: @c ?commands show ydata
                   10322: @c ?set ydata
                   10323: @c ?show ydata
                   10324: @cindex ydata
                   10325: @opindex ydata
                   10326:
                   10327:
                   10328: Sets y-axis data to timeseries (dates/times).  Please see @ref{xdata}.
                   10329:
                   10330: @node ydtics, ylabel, ydata, set-show
                   10331: @subsection ydtics
                   10332:
                   10333: @c ?commands set ydtics
                   10334: @c ?commands set noydtics
                   10335: @c ?commands show ydtics
                   10336: @c ?set ydtics
                   10337: @c ?set noydtics
                   10338: @c ?show ydtics
                   10339: @cindex ydtics
                   10340: @opindex ydtics
                   10341:
                   10342:
                   10343: @cindex noydtics
                   10344:
                   10345: The @ref{ydtics} command changes tics on the y axis to days of the week.
                   10346: Please see @ref{xdtics} for details.
                   10347:
                   10348: @node ylabel, ymtics, ydtics, set-show
                   10349: @subsection ylabel
                   10350:
                   10351: @c ?commands set ylabel
                   10352: @c ?commands show ylabel
                   10353: @c ?set ylabel
                   10354: @c ?show ylabel
                   10355: @cindex ylabel
                   10356: @opindex ylabel
                   10357:
                   10358:
                   10359: This command sets the label for the y axis.  Please see @ref{xlabel}.
                   10360:
                   10361: @node ymtics, yrange, ylabel, set-show
                   10362: @subsection ymtics
                   10363:
                   10364: @c ?commands set ymtics
                   10365: @c ?commands set noymtics
                   10366: @c ?commands show ymtics
                   10367: @c ?set ymtics
                   10368: @c ?set noymtics
                   10369: @c ?show ymtics
                   10370: @cindex ymtics
                   10371: @opindex ymtics
                   10372:
                   10373:
                   10374: @cindex noymtics
                   10375:
                   10376: The @ref{ymtics} command changes tics on the y axis to months of the year.
                   10377: Please see @ref{xmtics} for details.
                   10378:
                   10379: @node yrange, ytics, ymtics, set-show
                   10380: @subsection yrange
                   10381:
                   10382: @c ?commands set yrange
                   10383: @c ?commands show yrange
                   10384: @c ?set yrange
                   10385: @c ?show yrange
                   10386: @cindex yrange
                   10387: @opindex yrange
                   10388:
                   10389:
                   10390: The @ref{yrange} command sets the vertical range that will be displayed on
                   10391: the y axis.  Please see @ref{xrange} for details.
                   10392:
                   10393: @node ytics, yzeroaxis, yrange, set-show
                   10394: @subsection ytics
                   10395:
                   10396: @c ?commands set ytics
                   10397: @c ?commands set noytics
                   10398: @c ?commands show ytics
                   10399: @c ?set ytics
                   10400: @c ?set noytics
                   10401: @c ?show ytics
                   10402: @cindex ytics
                   10403: @opindex ytics
                   10404:
                   10405:
                   10406: @cindex noytics
                   10407:
                   10408: The @ref{ytics} command controls major (labelled) tics on the y axis.
                   10409: Please see @ref{xtics} for details.
                   10410:
                   10411: @node yzeroaxis, zdata, ytics, set-show
                   10412: @subsection yzeroaxis
                   10413:
                   10414: @c ?commands set yzeroaxis
                   10415: @c ?commands set noyzeroaxis
                   10416: @c ?commands show yzeroaxis
                   10417: @c ?set yzeroaxis
                   10418: @c ?set noyzeroaxis
                   10419: @c ?show yzeroaxis
                   10420: @cindex yzeroaxis
                   10421: @opindex yzeroaxis
                   10422:
                   10423:
                   10424: @cindex noyzeroaxis
                   10425:
                   10426: The @ref{yzeroaxis} command draws a line at x = 0.  For details, please see
                   10427: @ref{zeroaxis}.
                   10428:
                   10429: @node zdata, zdtics, yzeroaxis, set-show
                   10430: @subsection zdata
                   10431:
                   10432: @c ?commands set zdata
                   10433: @c ?commands show zdata
                   10434: @c ?set zdata
                   10435: @c ?show zdata
                   10436: @cindex zdata
                   10437: @opindex zdata
                   10438:
                   10439:
                   10440: Set zaxis date to timeseries (dates/times).  Please see @ref{xdata}.
                   10441:
                   10442: @node zdtics, zero, zdata, set-show
                   10443: @subsection zdtics
                   10444:
                   10445: @c ?commands set zdtics
                   10446: @c ?commands set nozdtics
                   10447: @c ?commands show zdtics
                   10448: @c ?set zdtics
                   10449: @c ?set nozdtics
                   10450: @c ?show zdtics
                   10451: @cindex zdtics
                   10452: @opindex zdtics
                   10453:
                   10454:
                   10455: @cindex nozdtics
                   10456:
                   10457: The @ref{zdtics} command changes tics on the z axis to days of the week.
                   10458: Please see @ref{xdtics} for details.
                   10459:
                   10460: @node zero, zeroaxis, zdtics, set-show
                   10461: @subsection zero
                   10462:
                   10463: @c ?commands set zero
                   10464: @c ?commands show zero
                   10465: @c ?set zero
                   10466: @c ?show zero
                   10467: @cindex zero
                   10468: @opindex zero
                   10469:
                   10470:
                   10471: The `zero` value is the default threshold for values approaching 0.0.
                   10472:
                   10473: Syntax:
                   10474: @example
                   10475:       set zero <expression>
                   10476:       show zero
                   10477:
                   10478: @end example
                   10479:
                   10480: `gnuplot` will not plot a point if its imaginary part is greater in magnitude
                   10481: than the `zero` threshold.  This threshold is also used in various other
                   10482: parts of `gnuplot` as a (crude) numerical-error threshold.  The default
                   10483: `zero` value is 1e-8.  `zero` values larger than 1e-3 (the reciprocal of the
                   10484: number of pixels in a typical bitmap display) should probably be avoided, but
                   10485: it is not unreasonable to set `zero` to 0.0.
                   10486:
                   10487: @node zeroaxis, zlabel, zero, set-show
                   10488: @subsection zeroaxis
                   10489:
                   10490: @c ?commands set zeroaxis
                   10491: @c ?commands set nozeroaxis
                   10492: @c ?commands show zeroaxis
                   10493: @c ?set zeroaxis
                   10494: @c ?set nozeroaxis
                   10495: @c ?show zeroaxis
                   10496: @cindex zeroaxis
                   10497: @opindex zeroaxis
                   10498:
                   10499:
                   10500: @cindex nozeroaxis
                   10501:
                   10502: The x axis may be drawn by @ref{xzeroaxis} and removed by `set noxzeroaxis`.
                   10503: Similar commands behave similarly for the y, x2, and y2 axes.
                   10504:
                   10505: Syntax:
                   10506: @example
                   10507:       set @{x|x2|y|y2|@}zeroaxis @{ @{linestyle | ls <line_style>@}
                   10508:                                  | @{ linetype | lt <line_type>@}
                   10509:                                    @{ linewidth | lw <line_width>@}@}
                   10510:       set no@{x|x2|y|y2|@}zeroaxis
                   10511:       show @{x|y|@}zeroaxis
                   10512:
                   10513: @end example
                   10514:
                   10515:
                   10516: By default, these options are off.  The selected zero axis is drawn
                   10517: with a line of type <line_type> and width <line_width> (if supported
                   10518: by the terminal driver currently in use), or a user-defined style
                   10519: <line_style>.
                   10520:
                   10521: If no linetype is specified, any zero axes selected will be drawn
                   10522: using the axis linetype (linetype 0).
                   10523:
                   10524: `set zeroaxis l` is equivalent to `set xzeroaxis l; set yzeroaxis l`. `set
                   10525: nozeroaxis` is equivalent to `set noxzeroaxis; set noyzeroaxis`.
                   10526:
                   10527: @node zlabel, zmtics, zeroaxis, set-show
                   10528: @subsection zlabel
                   10529:
                   10530: @c ?commands set zlabel
                   10531: @c ?commands show zlabel
                   10532: @c ?set zlabel
                   10533: @c ?show zlabel
                   10534: @cindex zlabel
                   10535: @opindex zlabel
                   10536:
                   10537:
                   10538: This command sets the label for the z axis.  Please see @ref{xlabel}.
                   10539:
                   10540: @node zmtics, zrange, zlabel, set-show
                   10541: @subsection zmtics
                   10542:
                   10543: @c ?commands set zmtics
                   10544: @c ?commands set nozmtics
                   10545: @c ?commands show zmtics
                   10546: @c ?set zmtics
                   10547: @c ?set nozmtics
                   10548: @c ?show zmtics
                   10549: @cindex zmtics
                   10550: @opindex zmtics
                   10551:
                   10552:
                   10553: @cindex nozmtics
                   10554:
                   10555: The @ref{zmtics} command changes tics on the z axis to months of the year.
                   10556: Please see @ref{xmtics} for details.
                   10557:
                   10558: @node zrange, ztics, zmtics, set-show
                   10559: @subsection zrange
                   10560:
                   10561: @c ?commands set zrange
                   10562: @c ?commands show zrange
                   10563: @c ?set zrange
                   10564: @c ?show zrange
                   10565: @cindex zrange
                   10566: @opindex zrange
                   10567:
                   10568:
                   10569: The @ref{zrange} command sets the range that will be displayed on the z axis.
                   10570: The zrange is used only by `splot` and is ignored by @ref{plot}.  Please see @ref{xrange} for details.
                   10571:
                   10572: @node ztics,  , zrange, set-show
                   10573: @subsection ztics
                   10574:
                   10575: @c ?commands set ztics
                   10576: @c ?commands set noztics
                   10577: @c ?commands show ztics
                   10578: @c ?set ztics
                   10579: @c ?set noztics
                   10580: @c ?show ztics
                   10581: @cindex ztics
                   10582: @opindex ztics
                   10583:
                   10584:
                   10585: @cindex noztics
                   10586:
                   10587: The @ref{ztics} command controls major (labelled) tics on the z axis.
                   10588: Please see @ref{xtics} for details.
                   10589:
                   10590: @node shell, splot, set-show, Commands
                   10591: @section shell
                   10592:
                   10593: @c ?commands shell
                   10594: @cindex shell
                   10595: @cmindex shell
                   10596:
                   10597:
                   10598: The @ref{shell} command spawns an interactive shell.  To return to `gnuplot`,
                   10599: type `logout` if using VMS, @ref{exit} or the END-OF-FILE character if using
                   10600: Unix, `endcli` if using AmigaOS, or @ref{exit} if using MS-DOS or OS/2.
                   10601:
                   10602: A single shell command may be spawned by preceding it with the ! character
                   10603: ($ if using VMS) at the beginning of a command line.  Control will return
                   10604: immediately to `gnuplot` after this command is executed.  For example, in
                   10605: Unix, AmigaOS, MS-DOS or OS/2,
                   10606:
                   10607: @example
                   10608:       ! dir
                   10609:
                   10610: @end example
                   10611:
                   10612: prints a directory listing and then returns to `gnuplot`.
                   10613:
                   10614: On an Atari, the `!` command first checks whether a shell is already loaded
                   10615: and uses it, if available.  This is practical if `gnuplot` is run from
                   10616: `gulam`, for example.
                   10617:
                   10618: @node splot, test, shell, Commands
                   10619: @section splot
                   10620:
                   10621: @c ?commands splot
                   10622: @cindex splot
                   10623: @cmindex splot
                   10624:
                   10625:
                   10626: `splot` is the command for drawing 3-d plots (well, actually projections on
                   10627: a 2-d surface, but you knew that).  It can create a plot from functions or
                   10628: a data file in a manner very similar to the @ref{plot} command.
                   10629:
                   10630: See @ref{plot} for features common to the @ref{plot} command; only differences are
                   10631: discussed in detail here.  Note specifically that the @ref{binary} and @ref{matrix}
                   10632: options (discussed under "datafile-modifiers") are not available for @ref{plot}.
                   10633:
                   10634: Syntax:
                   10635: @example
                   10636:       splot @{<ranges>@}
                   10637:             <function> | "<datafile>" @{datafile-modifiers@}@}
                   10638:             @{<title-spec>@} @{with <style>@}
                   10639:             @{, @{definitions,@} <function> ...@}
                   10640:
                   10641: @end example
                   10642:
                   10643: where either a <function> or the name of a data file enclosed in quotes is
                   10644: supplied.  The function can be a mathematical expression, or a triple of
                   10645: mathematical expressions in parametric mode.
                   10646:
                   10647: By default `splot` draws the xy plane completely below the plotted data.
                   10648: The offset between the lowest ztic and the xy plane can be changed by @ref{ticslevel}.  The orientation of a `splot` projection is controlled by
                   10649: @ref{view}.  See @ref{view} and @ref{ticslevel} for more information.
                   10650:
                   10651: The syntax for setting ranges on the `splot` command is the same as for
                   10652: @ref{plot}.  In non-parametric mode, the order in which ranges must be given is
                   10653: @ref{xrange}, @ref{yrange}, and @ref{zrange}.  In parametric mode, the order is @ref{urange},
                   10654: @ref{vrange}, @ref{xrange}, @ref{yrange}, and @ref{zrange}.
                   10655:
                   10656: The `title` option is the same as in @ref{plot}.  The operation of @ref{with} is also
                   10657: the same as in @ref{plot}, except that the plotting styles available to `splot`
                   10658: are limited to `lines`, `points`, @ref{linespoints}, @ref{dots}, and @ref{impulses};  the
                   10659: error-bar capabilities of @ref{plot} are not available for `splot`.
                   10660:
                   10661: The datafile options have more differences.
                   10662:
                   10663: @menu
                   10664: * data-file_::
                   10665: * grid_data::
                   10666: * splot_overview::
                   10667: @end menu
                   10668:
                   10669: @node data-file_, grid_data, splot, splot
                   10670: @subsection data-file
                   10671:
                   10672: @c ?commands splot datafile
                   10673: @c ?splot datafile
                   10674: @c ?splot data-file
                   10675: As for @ref{plot}, discrete data contained in a file can be displayed by
                   10676: specifying the name of the data file, enclosed in quotes,  on the `splot`
                   10677: command line.
                   10678:
                   10679: Syntax:
                   10680: @example
                   10681:       splot '<file_name>' @{binary | matrix@}
                   10682:                           @{index <index list>@}
                   10683:                           @{every <every list>@}
                   10684:                           @{using <using list>@}
                   10685:
                   10686: @end example
                   10687:
                   10688: The special filenames `""` and `"-"` are permitted, as in @ref{plot}.
                   10689:
                   10690: In brief, @ref{binary} and @ref{matrix} indicate that the the data are in a special
                   10691: form, @ref{index} selects which data sets in a multi-data-set file are to be
                   10692: plotted, @ref{every} specifies which datalines (subsets) within a single data
                   10693: set are to be plotted, and @ref{using} determines how the columns within a single
                   10694: record are to be interpreted.
                   10695:
                   10696: The options @ref{index} and @ref{every} behave the same way as with @ref{plot};  @ref{using}
                   10697: does so also, except that the @ref{using} list must provide three entries
                   10698: instead of two.
                   10699:
                   10700: The @ref{plot} options @ref{thru} and @ref{smooth} are not available for `splot`, but
                   10701: `cntrparams` and @ref{dgrid3d} provide limited smoothing cabilities.
                   10702:
                   10703: Data file organization is essentially the same as for @ref{plot}, except that
                   10704: each point is an (x,y,z) triple.  If only a single value is provided, it
                   10705: will be used for z, the datablock number will be used for y, and the index
                   10706: of the data point in the datablock will be used for x.  If two values are
                   10707: provided, `gnuplot` gives you an error message.  Three values are interpreted
                   10708: as an (x,y,z) triple.  Additional values are generally used as errors, which
                   10709: can be used by `fit`.
                   10710:
                   10711: Single blank records separate datablocks in a `splot` datafile; `splot`
                   10712: treats datablocks as the equivalent of function y-isolines.  No line will
                   10713: join points separated by a blank record.  If all datablocks contain the same
                   10714: number of points, `gnuplot` will draw cross-isolines between datablocks,
                   10715: connecting corresponding points.  This is termed "grid data", and is required
                   10716: for drawing a surface, for contouring (@ref{contour}) and hidden-line removal
                   10717: (@ref{hidden3d}). See also `splot grid data`
                   10718:
                   10719: It is no longer necessary to specify `parametric` mode for three-column
                   10720: `splot`s.
                   10721:
                   10722: @menu
                   10723: * binary::
                   10724: * example_datafile_::
                   10725: * matrix::
                   10726: @end menu
                   10727:
                   10728: @node binary, example_datafile_, data-file_, data-file_
                   10729: @subsubsection binary
                   10730:
                   10731: @c ?commands splot datafile binary
                   10732: @c ?splot datafile binary
                   10733: @c ?splot binary
                   10734: @c ?data-file binary
                   10735: @c ?datafile binary
                   10736: @cindex binary
                   10737:
                   10738: @c ?binary data
                   10739: @c ?binary files
                   10740: `splot` can read binary files written with a specific format (and on a
                   10741: system with a compatible binary file representation.)
                   10742:
                   10743: In previous versions, `gnuplot` dynamically detected binary data files.  It
                   10744: is now necessary to specify the keyword @ref{binary} directly after the filename.
                   10745:
                   10746: Single precision floats are stored in a binary file as follows:
                   10747:
                   10748: @example
                   10749:       <N+1>  <y0>   <y1>   <y2>  ...  <yN>
                   10750:        <x0> <z0,0> <z0,1> <z0,2> ... <z0,N>
                   10751:        <x1> <z1,0> <z1,1> <z1,2> ... <z1,N>
                   10752:         :      :      :      :   ...    :
                   10753:
                   10754: @end example
                   10755:
                   10756: which are converted into triplets:
                   10757: @example
                   10758:       <x0> <y0> <z0,0>
                   10759:       <x0> <y1> <z0,1>
                   10760:       <x0> <y2> <z0,2>
                   10761:        :    :     :
                   10762:       <x0> <yN> <z0,N>
                   10763:
                   10764: @end example
                   10765:
                   10766: @example
                   10767:       <x1> <y0> <z1,0>
                   10768:       <x1> <y1> <z1,1>
                   10769:        :    :     :
                   10770:
                   10771: @end example
                   10772:
                   10773: These triplets are then converted into `gnuplot` iso-curves and then
                   10774: `gnuplot` proceeds in the usual manner to do the rest of the plotting.
                   10775:
                   10776: A collection of matrix and vector manipulation routines (in C) is provided
                   10777: in `binary.c`.  The routine to write binary data is
                   10778:
                   10779: @example
                   10780:       int fwrite_matrix(file,m,nrl,nrl,ncl,nch,row_title,column_title)
                   10781:
                   10782: @end example
                   10783:
                   10784: An example of using these routines is provided in the file `bf_test.c`, which
                   10785: generates binary files for the demo file `demo/binary.dem`.
                   10786:
                   10787: The @ref{index} keyword is not supported, since the file format allows only one
                   10788: surface per file.  The @ref{every} and @ref{using} filters are supported.  @ref{using}
                   10789: operates as if the data were read in the above triplet form.
                   10790: @uref{http://www.gnuplot.vt.edu/gnuplot/gpdocs/binary.html,Binary File Splot Demo.}
                   10791:
                   10792: @node example_datafile_, matrix, binary, data-file_
                   10793: @subsubsection example datafile
                   10794:
                   10795: @c ?commands splot datafile example
                   10796: @c ?splot datafile example
                   10797: @c ?splot example
                   10798: A simple example of plotting a 3-d data file is
                   10799:
                   10800: @example
                   10801:       splot 'datafile.dat'
                   10802:
                   10803: @end example
                   10804:
                   10805: where the file "datafile.dat" might contain:
                   10806:
                   10807: @example
                   10808:       # The valley of the Gnu.
                   10809:          0 0 10
                   10810:          0 1 10
                   10811:          0 2 10
                   10812:
                   10813: @end example
                   10814:
                   10815: @example
                   10816:          1 0 10
                   10817:          1 1 5
                   10818:          1 2 10
                   10819:
                   10820: @end example
                   10821:
                   10822: @example
                   10823:          2 0 10
                   10824:          2 1 1
                   10825:          2 2 10
                   10826:
                   10827: @end example
                   10828:
                   10829: @example
                   10830:          3 0 10
                   10831:          3 1 0
                   10832:          3 2 10
                   10833:
                   10834: @end example
                   10835:
                   10836: Note that "datafile.dat" defines a 4 by 3 grid ( 4 rows of 3 points each ).
                   10837: Rows (datablocks) are separated by blank records.
                   10838:
                   10839: @c ^ <img align=bottom src="http://www.nas.nasa.gov/~woo/gnuplot/doc/splot.gif" alt="[splot.gif]" width=640 height=480>
                   10840: Note also that the x value is held constant within each dataline.  If you
                   10841: instead keep y constant, and plot with hidden-line removal enabled, you will
                   10842: find that the surface is drawn 'inside-out'.
                   10843:
                   10844: Actually for grid data it is not necessary to keep the x values constant
                   10845: within a datablock, nor is it necessary to keep the same sequence of y
                   10846: values.  `gnuplot` requires only that the number of points be the same for
                   10847: each datablock.  However since the surface mesh, from which contours are
                   10848: derived, connects sequentially corresponding points, the effect of an
                   10849: irregular grid on a surface plot is unpredictable and should be examined
                   10850: on a case-by-case basis.
                   10851:
                   10852: @node matrix,  , example_datafile_, data-file_
                   10853: @subsubsection matrix
                   10854:
                   10855: @c ?commands splot datafile matrix
                   10856: @c ?splot datafile matrix
                   10857: @c ?splot matrix
                   10858: @c ?data-file matrix
                   10859: @c ?datafile matrix
                   10860: @cindex matrix
                   10861:
                   10862: The @ref{matrix} flag indicates that the ASCII data are stored in matrix format.
                   10863: The z-values are read in a row at a time, i. e.,
                   10864: @example
                   10865:       z11 z12 z13 z14 ...
                   10866:       z21 z22 z23 z24 ...
                   10867:       z31 z32 z33 z34 ...
                   10868: @end example
                   10869:
                   10870: and so forth.  The row and column indices are used for the x- and y-values.
                   10871:
                   10872: @node grid_data, splot_overview, data-file_, splot
                   10873: @subsection grid_data
                   10874:
                   10875: @c ?commands splot grid_data
                   10876: @c ?splot grid_data
                   10877: @cindex grid_data
                   10878:
                   10879: The 3D routines are designed for points in a grid format, with one sample,
                   10880: datapoint, at each mesh intersection; the datapoints may originate from
                   10881: either evaluating a function, see @ref{isosamples}, or reading a datafile,
                   10882: see `splot datafile`.  The term "isoline" is applied to the mesh lines for
                   10883: both functions and data.  Note that the mesh need not be rectangular in x
                   10884: and y, as it may be parameterized in u and v, see @ref{isosamples}.
                   10885:
                   10886: However, `gnuplot` does not require that format.  In the case of functions,
                   10887: 'samples' need not be equal to 'isosamples', i.e., not every x-isoline
                   10888: sample need intersect a y-isoline. In the case of data files, if there
                   10889: are an equal number of scattered data points in each datablock, then
                   10890: "isolines" will connect the points in a datablock, and "cross-isolines"
                   10891: will connect the corresponding points in each datablock to generate a
                   10892: "surface".  In either case, contour and hidden3d modes may give different
                   10893: plots than if the points were in the intended format.  Scattered data can be
                   10894: converted to a @{different@} grid format with @ref{dgrid3d}.
                   10895:
                   10896: The contour code tests for z intensity along a line between a point on a
                   10897: y-isoline and the corresponding point in the next y-isoline.  Thus a `splot`
                   10898: contour of a surface with samples on the x-isolines that do not coincide with
                   10899: a y-isoline intersection will ignore such samples. Try:
                   10900: @example
                   10901:        set xrange [-pi/2:pi/2]; set yrange [-pi/2:pi/2]
                   10902:        set function style lp
                   10903:        set contour
                   10904:        set isosamples 10,10; set samples 10,10;
                   10905:        splot cos(x)*cos(y)
                   10906:        set samples 4,10; replot
                   10907:        set samples 10,4; replot
                   10908:
                   10909: @end example
                   10910:
                   10911:
                   10912: @node splot_overview,  , grid_data, splot
                   10913: @subsection splot_overview
                   10914:
                   10915: @c ?commands splot_overview
                   10916: @c ? splot_overview
                   10917: `splot` can display a surface as a collection of points, or by connecting
                   10918: those points.  As with @ref{plot}, the points may be read from a data file or
                   10919: result from evaluation of a function at specified intervals, see @ref{isosamples}.  The surface may be approximated by connecting the points
                   10920: with straight line segments, see @ref{surface}, in which case the surface
                   10921: can be made opaque with `set hidden3d.`  The orientation from which the 3d
                   10922: surface is viewed can be changed with @ref{view}.
                   10923:
                   10924: Additionally, for points in a grid format, `splot` can interpolate points
                   10925: having a common amplitude (see @ref{contour}) and can then connect those
                   10926: new points to display contour lines, either directly with straight-line
                   10927: segments or smoothed lines (see `set cntrparams`).  Functions are already
                   10928: evaluated in a grid format, determined by @ref{isosamples} and @ref{samples},
                   10929: while file data must either be in a grid format, as described in `data-file`,
                   10930: or be used to generate a grid (see @ref{dgrid3d}).
                   10931:
                   10932: Contour lines may be displayed either on the surface or projected onto the
                   10933: base.  The base projections of the contour lines may be written to a
                   10934: file, and then read with @ref{plot}, to take advantage of @ref{plot}'s additional
                   10935: formatting capabilities.
                   10936:
                   10937: @node test, update, splot, Commands
                   10938: @section test
                   10939:
                   10940: @c ?commands test
                   10941: @cindex test
                   10942: @cmindex test
                   10943:
                   10944:
                   10945: @ref{test} creates a display of line and point styles and other useful things
                   10946: appropriate for the terminal you are using.
                   10947:
                   10948: Syntax:
                   10949: @example
                   10950:       test
                   10951:
                   10952: @end example
                   10953:
                   10954: @node update,  , test, Commands
                   10955: @section update
                   10956:
                   10957: @c ?commands update
                   10958: @cindex update
                   10959: @cmindex update
                   10960:
                   10961:
                   10962: This command writes the current values of the fit parameters into the given
                   10963: file, formatted as an initial-value file (as described in the `fit`section).
                   10964: This is useful for saving the current values for later use or for restarting
                   10965: a converged or stopped fit.
                   10966:
                   10967: Syntax:
                   10968: @example
                   10969:       update <filename> @{<filename>@}
                   10970:
                   10971: @end example
                   10972:
                   10973: If a second filename is supplied, the updated values are written to this
                   10974: file, and the original parameter file is left unmodified.
                   10975:
                   10976: Otherwise, if the file already exists, `gnuplot` first renames it by
                   10977: appending `.old` and then opens a new file.  That is, "`update 'fred'`"
                   10978: behaves the same as "`!rename fred fred.old; update 'fred.old' 'fred'`".
                   10979: [On DOS and other systems that use the twelve-character "filename.ext"
                   10980: naming convention, "ext" will be "`old`" and "filename" will be related
                   10981: (hopefully recognizably) to the initial name.  Renaming is not done at all
                   10982: on VMS systems, since they use file-versioning.]
                   10983:
                   10984: Please see `fit` for more information.
                   10985:
                   10986: @node Graphical_User_Interfaces, Bugs, Commands, Top
                   10987: @chapter Graphical User Interfaces
                   10988:
                   10989: @c ?graphical user interfaces
                   10990: @cindex gui's
                   10991:
                   10992: Several graphical user interfaces have been written for `gnuplot` and one for
                   10993: win32 is included in this distribution.  In addition, there is a Macintosh
                   10994: interface at
                   10995: @uref{ftp://ftp.ee.gatech.edu/pub/mac/gnuplot,ftp://ftp.ee.gatech.edu/pub/mac/gnuplot
                   10996: }
                   10997: and several X11 interfaces include three Tcl/Tk located at the usual Tcl/Tk
                   10998: repositories.
                   10999:
                   11000: @node Bugs, Concept_Index, Graphical_User_Interfaces, Top
                   11001: @chapter Bugs
                   11002:
                   11003: @cindex bugs
                   11004:
                   11005: Floating point exceptions (floating point number too large/small, divide by
                   11006: zero, etc.) may occasionally be generated by user defined functions.  Some of
                   11007: the demos in particular may cause numbers to exceed the floating point range.
                   11008: Whether the system ignores such exceptions (in which case `gnuplot` labels
                   11009: the corresponding point as undefined) or aborts `gnuplot` depends on the
                   11010: compiler/runtime environment.
                   11011:
                   11012: The bessel functions do not work for complex arguments.
                   11013:
                   11014: The gamma function does not work for complex arguments.
                   11015:
                   11016: As of `gnuplot` version 3.7, all development has been done using ANSI C.
                   11017: With current operating system, compiler, and library releases, the OS
                   11018: specific bugs documented in release 3.5, now relegated to `old_bugs`, may
                   11019: no longer be relevant.
                   11020:
                   11021: Bugs reported since the current release may be located via the official
                   11022: distribution site:
                   11023: @example
                   11024:        ftp://ftp.dartmouth.edu/pub/gnuplot
                   11025:       http://www.cs.dartmouth.edu/gnuplot_info.html
                   11026:
                   11027: @end example
                   11028:
                   11029: Please e-mail any bugs to bug-gnuplot@@dartmouth.edu.
                   11030:
                   11031: @menu
                   11032: * Old_bugs::
                   11033: @end menu
                   11034:
                   11035: @node Old_bugs,  , Bugs, Bugs
                   11036: @section Old_bugs
                   11037:
                   11038: @cindex old_bugs
                   11039:
                   11040: @cindex os_bugs
                   11041:
                   11042: There is a bug in the stdio library for old Sun operating systems (SunOS
                   11043: Sys4-3.2).  The "%g" format for 'printf' sometimes incorrectly prints numbers
                   11044: (e.g., 200000.0 as "2").  Thus, tic mark labels may be incorrect on a Sun4
                   11045: version of `gnuplot`.  A work-around is to rescale the data or use the `set
                   11046: format` command to change the tic mark format to "%7.0f" or some other
                   11047: appropriate format.  This appears to have been fixed in SunOS 4.0.
                   11048:
                   11049: Another bug: On a Sun3 under SunOS 4.0, and on Sun4's under Sys4-3.2 and
                   11050: SunOS 4.0, the 'sscanf' routine incorrectly parses "00 12" with the format
                   11051: "%f %f" and reads 0 and 0 instead of 0 and 12.  This affects data input.  If
                   11052: the data file contains x coordinates that are zero but are specified like
                   11053: '00', '000', etc, then you will read the wrong y values.  Check any data
                   11054: files or upgrade the SunOS.  It appears to have been fixed in SunOS 4.1.1.
                   11055:
                   11056: Suns appear to overflow when calculating exp(-x) for large x, so `gnuplot`
                   11057: gets an undefined result.  One work-around is to make a user-defined function
                   11058: like e(x) = x<-500 ? 0 : exp(x).  This affects plots of Gaussians (exp(-x*x))
                   11059: in particular, since x*x grows quite rapidly.
                   11060:
                   11061: Microsoft C 5.1 has a nasty bug associated with the %g format for 'printf'.
                   11062: When any of the formats "%.2g", "%.1g", "%.0g", "%.g" are used, 'printf' will
                   11063: incorrectly print numbers in the range 1e-4 to 1e-1.  Numbers that should be
                   11064: printed in the %e format are incorrectly printed in the %f format, with the
                   11065: wrong number of zeros after the decimal point.  To work around this problem,
                   11066: use the %e or %f formats explicitly.
                   11067:
                   11068: `gnuplot`, when compiled with Microsoft C, did not work correctly on two VGA
                   11069: displays that were tested.  The CGA, EGA and VGA drivers should probably be
                   11070: rewritten to use the Microsoft C graphics library.  `gnuplot` compiled with
                   11071: Borland C++ uses the Turbo C graphics drivers and does work correctly with
                   11072: VGA displays.
                   11073:
                   11074: VAX/VMS 4.7 C compiler release 2.4 also has a poorly implemented %g format
                   11075: for 'printf'.  The numbers are printed numerically correct, but may not be in
                   11076: the requested format.  The K&R second edition says that for the %g format, %e
                   11077: is used if the exponent is less than -4 or greater than or equal to the
                   11078: precision.  The VAX uses %e format if the exponent is less than -1.  The VAX
                   11079: appears to take no notice of the precision when deciding whether to use %e or
                   11080: %f for numbers less than 1.  To work around this problem, use the %e or %f
                   11081: formats explicitly.  From the VAX C 2.4 release notes: e,E,f,F,g,G  Result
                   11082: will always contain a decimal  point.  For g and G, trailing zeros will not
                   11083: be removed from the result.
                   11084:
                   11085: VAX/VMS 5.2 C compiler release 3.0 has a slightly better implemented %g
                   11086: format than release 2.4, but not much.  Trailing decimal points are now
                   11087: removed, but trailing zeros are still not removed from %g numbers in
                   11088: exponential format.
                   11089:
                   11090: The two preceding problems are actually in the libraries rather than in the
                   11091: compilers.  Thus the problems will occur whether `gnuplot` is built using
                   11092: either the DEC compiler or some other one (e.g. the latest gcc).
                   11093:
                   11094: ULTRIX X11R3 has a bug that causes the X11 driver to display "every other"
                   11095: graph.  The bug seems to be fixed in DEC's release of X11R4 so newer releases
                   11096: of ULTRIX don't seem to have the problem.  Solutions for older sites include
                   11097: upgrading the X11 libraries (from DEC or direct from MIT) or defining
                   11098: ULTRIX_KLUDGE when compiling the x11.trm file.  Note that the kludge is not
                   11099: an ideal fix, however.
                   11100:
                   11101: The constant HUGE was incorrectly defined in the NeXT OS 2.0 operating
                   11102: system.  HUGE should be set to 1e38 in plot.h. This error has been corrected
                   11103: in the 2.1 version of NeXT OS.
                   11104:
                   11105: Some older models of HP plotters do not have a page eject command 'PG'.  The
                   11106: current HPGL driver uses this command in HPGL_reset.  This may need to be
                   11107: removed for these plotters.  The current PCL5 driver uses HPGL/2 for text as
                   11108: well as graphics.  This should be modified to use scalable PCL fonts.
                   11109:
                   11110: On the Atari version, it is not possible to send output directly to the
                   11111: printer (using `/dev/lp` as output file), since CRs are added to LFs in
                   11112: binary output.  As a work-around, write the output to a file and copy it to
                   11113: the printer afterwards using a shell command.
                   11114:
                   11115: On AIX 4, the literal 'NaNq' in a datafile causes the special internal value
                   11116: 'not-a-number' to be stored, rather than setting an internal 'undefined'
                   11117: flag.  A workaround is to use `set missing 'NaNq'`.
                   11118:
                   11119: There may be an up-to-date list of bugs since the release on the WWW page:
                   11120: @example
                   11121:       http://www.cs.dartmouth.edu/gnuplot_info.html
                   11122:
                   11123: @end example
                   11124:
                   11125: Please report any bugs to bug-gnuplot@@dartmouth.edu.
                   11126: @node Concept_Index, Command_Index, Bugs, Top
                   11127: @unnumbered Concept Index
                   11128: @printindex cp
                   11129:
                   11130: @node Command_Index, Options_Index, Concept_Index, Top
                   11131: @unnumbered Command Index
                   11132: @printindex cm
                   11133:
                   11134: @node Options_Index, Function_Index, Command_Index, Top
                   11135: @unnumbered Options Index
                   11136: @printindex op
                   11137:
                   11138: @node Function_Index, Terminal_Index, Options_Index, Top
                   11139: @unnumbered Function Index
                   11140: @printindex fn
                   11141:
                   11142: @node Terminal_Index,  , Function_Index, Top
                   11143: @unnumbered Terminal Index
                   11144: @printindex tm
                   11145:
                   11146: @c @shortcontents
                   11147: @contents
                   11148: @bye

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