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epsfig
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epsfig.sty
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%----------------------------------------------
\def\fileversion{v1.20}%
\def\filedate{26.1.94}%
%%%
%%% from a suggestion by eijkhout@csrd.uiuc.edu to allow
%%% loading as a style file:
\edef\epsfigRestoreAt{\catcode`@=\number\catcode`@\relax}%
\catcode`\@=11\relax
\ifx\undefined\@makeother % -pks-
\def\@makeother#1{\catcode`#1=12\relax} % -pks-
\fi % -pks-
\immediate\write16{Document style option `epsfig', \fileversion\space
<\filedate> (edited by SPQR)}%
%%%--------------------------------------------------------------------
%%% psfig merged with EPSF = epsfig Release 1
%%% 1.0 November 91
%%% 1.1 Dec 91 fixed some bugs
%%% 1.2 Jan 92 fixed bug that it never stopped reading PS file until
%%% it reached the end! merged in changes from psfig1.8
%%% (plain TeX definition of \fbox, new code for rotation)
%%% 1.3 Jan 92 separated out \special code so that dvitops can be
%%% supported. use \psfigdriver{dvitops}%
%%% 1.4 Jan 92 fixed dvitops. need to input psfig at different point
%%% in dvips from dvitops. define \psfig@start and \psfig@end to cope
%%% with this
%%% 1.5 Jan 92 force use of psfig method if using dvitops
%%% 1.6 May 92 fixed bugs
%%% 1.7 Sep 92 added support for emtex, sort of. reads a .bb file
%%% and imports .pcx file. Boolean flag \epsfigdos used
%%% to indicate that we cannot have more than one . in the
%%% suffix (ie we will look at file.bb not file.eps.bb)
%%%
%%% 1.8 Sep 92 added support for OzTeX; fixed bugs in dvips support
%%% (including clipping to bounding box); removed use of dimen100.
%%%
%%% 1.9 Dec 92 cleaned up documentation again
%%% 1.10 Mar 93 cleaned up for plain TeX
%%% 1.11 Mar 93 merged in changes by Peter Galko (supplied by CERN) for
%%% use with Textures
%%% 1.12 Apr 93 actually *tested* the Textures additions, and so rewrote
%%% from scratch (borrowed an idea from psbox)
%%% 1.13 May 93 allow for file names with _ or $ in them in \psdraft, and
%%% fix problem that occurred with missing BoundingBox
%%% 1.14 May 93 allow for .z suffix
%%% 1.15 July 93 allow for .gz suffix
%%% use \leavevmode as appropriate
%%% fix plain \TeX mode
%%% (fixes from Peter-Klaus Schilling <R02SCH@DSYIBM.DESY.DE>)
%%% 1.16 August 93 [peta@mcrcim.mcgill.edu (Peter Whaite)]
%%% -- Implement Perl scripts to do compressed file inclusion and bb
%%% generation.
%%% -- Add \pscompress.
%%% -- Tidy up comments.
%%% 1.17 September 93 SPQR
%%% better code for literal name printing
%%% allowed for spaces around , and =
%%% 1.18 17.9.93
%%% updates to epsbb and epsfig from Peter W
%%% 1.19 14.11.93
%%% mistaken placement of calculation of EPS@Height resulted in errors
%%% 1.20 defaults to no compression
%--------------------------------------------------------
%%%
%%% code rearranged by Sebastian Rahtz (spqr@uk.ac.york.minster)
%%% from work by
%%% Trevor Darrell; Tom Rokicki; Daniel Smith; H. Payne, Robert Russell
%%%
%%% This is a version of Darrell's `psfig' macros which are designed
%%% to be used with dvips or dvitops, and the `epsf' macros (these are
%%% automaticaly included by the style file). I did this because the
%%% \special commands used by `epsf' appear to be more robust and
%%% portable than the raw \specials used by `psfig', but I preferred
%%% the psfig interface. This system preserves the psfig interface,
%%% but mainly uses epsf macros to carry out the job. The user
%%% interface is identical to \psfig, but you just use \epsfig
%%% instead. Rotation uses the original psfig macros: I could not work
%%% out how to do rotation with the epsf macros.
%%%
%%% The same applies to `rheight' and `rwidth'
%%%
%%% If you *really* want old psfig behaviour regardless, use \psfig. It is
%%% still there. Some of the features have gone, however. \figurepath
%%% seemed redundant, since it could be controlled by the TEXINPUTS
%%% variable anyway.
%%%
%%% As an added feature, if FILE cannot be found, a file called FILE.bb
%%% is searched for. This should simply contain a %%BoundingBox line. A perl
%%% script "epsbb" is provided to generate these automatically. It is
%%% assumed that if this exists, then the actual postscript is in UNIX
%%% compress format in FILE.Z or in GNU gzip format in FILE.gz or FILE.z.
%%%
%%% The macros then read the BB from FILE.bb, but insert "`epsfig FILE`" in
%%% the output for dvips to interpret (don't worry, it knows about this).
%%% "Epsfig" is another perl script which searches the TEXINPUTS path for
%%% FILE or FILE.{gz,z,Z}.
%%%
%%% As an added bonus if you say \pscompress the -c switch will be passed to
%%% epsfig, causing automatic FILE.bb generation and compression the first
%%% time dvips is run. Files in the system directories will NOT be
%%% compressed.
%%% If you are *not* on a Unix system and use this, deliberately or by
%%% mischance, you will have problems!
%%%
%%% This file can be included in a dumped format, or used as a LaTeX
%%% style file, or used in plain TeX. It does not load itself twice (I hope)
%%%
%--------------------------------------------------------------------
%--------------------------------------------------------------------
%%% previous notes. this copy of psfig.tex inherited from versions 1.8
%--------------------------------------------------------------------
%%% All psfig/tex software, documentation, and related files
%%% in this distribution of psfig/tex are
%%% Copyright 1987, 1988, 1991 Trevor J. Darrell
%
%%% Permission is granted for use and non-profit distribution of psfig/tex
%%% providing that this notice be clearly maintained. The right to
%%% distribute any portion of psfig/tex for profit or as part of any commercial
%%% product is specifically reserved for the author(s) of that portion.
%%%
%%% Thanks to Greg Hager (GDH) and Ned Batchelder for their contributions
%%% to this project.
%%%--------------------------------------------------------------------------
%%% GDH 7/26/87 -- changed so that it first looks in the local directory,
%%% then in a specified global directory for the ps file.
%%% SPQR 12/91 removed that last change. it follows TEXINPUTS anyway
%%% RPR 6/25/91 -- changed so that it defaults to user-supplied name if
%%% boundingbox info is specified, assuming graphic will be created by
%%% print time.
%%% SPQR 12/91 removed that last change. use LaTeX error message instead
%%% SPQR 12/91 -- `no file found' produces LaTeX error message.
%%% If you recover from that the file name is set in draft
%%% mode in place of the file.
%%%
%%% Modified by J. Daniel Smith on 9 October 1990 to accept the
%%% %%BoundingBox: comment with or without a space after the colon. Stole
%%% file reading code from Tom Rokicki's EPSF.TEX file (see below).
%%% --- SPQR 12.91 removed most of this to use epsf directly
%%%
%%% More modifications by J. Daniel Smith on 29 March 1991 to allow the
%%% the included PostScript figure to be rotated. The amount of
%%% rotation is specified by the "angle=" parameter of the \epsfig command.
%%%
%%% Modified by Robert Russell on June 25, 1991 to allow users to specify
%%% .ps filenames which don't yet exist, provided they explicitly provide
%%% boundingbox information via the \epsfig command. Note: This will only work
%%% if the "file=" parameter follows all four "bb???=" parameters in the
%%% command. This is due to the order in which psfig interprets these params.
%%% ---- SPQR 12.91 removed all this
%%%
%%% 3 Jul 1991 JDS check if file already read in once
%%%
%-----------------------------USAGE---------------------------------------
% From: gvr@cs.brown.edu (George V. Reilly)
%
% \psdraft draws an outline box, but doesn't include the figure
% in the DVI file. Useful for previewing.
%
% \psfull includes the figure in the DVI file (default).
%
% \psscalefirst width= or height= specifies the size of the figure
% before rotation.
% \psrotatefirst (default) width= or height= specifies the size of the
% figure after rotation. Asymetric figures will
% appear to shrink.
%
% usage: \epsfig{file=, figure=, height=, width=,
% bbllx=, bblly=, bburx=, bbury=,
% rheight=, rwidth=, clip=, angle=, silent=}%
%
% "file" is the filename. If no path name is specified and the
% file is not found in the current directory,
% it will be looked for in directory \psfigurepath.
% "figure" is a synonym for "file".
% By default, the width and height of the figure are taken from
% the BoundingBox of the figure.
% If "width" is specified, the figure is scaled so that it has
% the specified width. Its height changes proportionately.
% If "height" is specified, the figure is scaled so that it has
% the specified height. Its width changes proportionately.
% If both "width" and "height" are specified, the figure is scaled
% anamorphically.
% "bbllx", "bblly", "bburx", and "bbury" control the PostScript
% BoundingBox.
% "rheight" and "rwidth" are the reserved height and width
% of the figure, i.e., how big TeX actually thinks
% the figure is. They default to "width" and "height".
% The "clip" option ensures that no portion of the figure will
% appear outside its BoundingBox. "clip=" is a switch and
% takes no value, but the `=' must be present.
% The "angle" option specifies the angle of rotation (degrees, ccw).
% The "silent" option makes \psfig work silently.
%
%--------------------------------------------------------------------------
\newcount\EPS@Height \newcount\EPS@Width \newcount\EPS@xscale
\newcount\EPS@yscale
\def\psfigdriver#1{%
\bgroup\edef\next{\def\noexpand\tempa{#1}}%
\uppercase\expandafter{\next}%
\def\LN{DVITOLN03}%
\def\DVItoPS{DVITOPS}%
\def\DVIPS{DVIPS}%
\def\emTeX{EMTEX}%
\def\OzTeX{OZTEX}%
\def\Textures{TEXTURES}%
\global\chardef\fig@driver=0
\ifx\tempa\LN
\global\chardef\fig@driver=0\fi
\ifx\tempa\DVItoPS
\global\chardef\fig@driver=1\fi
\ifx\tempa\DVIPS
\global\chardef\fig@driver=2\fi
\ifx\tempa\emTeX
\global\chardef\fig@driver=3\fi
\ifx\tempa\OzTeX
\global\chardef\fig@driver=4\fi
\ifx\tempa\Textures
\global\chardef\fig@driver=5\fi
\egroup
\def\psfig@start{}%
\def\psfig@end{}%
\def\epsfig@gofer{}%
\ifcase\fig@driver
% case 0 ln03
\typeout{WARNING! ****
no specials for LN03 psfig}%
%
\or % case 1: dvitops
\def\psfig@start{}%
\def\psfig@end{\special{dvitops: import \@p@sfilefinal \space
\@p@swidth sp \space \@p@sheight sp \space fill}%
\if@clip \typeout{Clipping not supported}\fi
\if@angle \typeout{Rotating not supported}\fi
}%
\let\epsfig@gofer\psfig@end
%
\or %case2 dvips
\def\psfig@start{\special{ps::[begin] \@p@swidth \space \@p@sheight \space%
\@p@sbbllx \space \@p@sbblly \space%
\@p@sbburx \space \@p@sbbury \space%
startTexFig \space }%
\if@angle
\special {ps:: \@p@sangle \space rotate \space}
\fi
\if@clip
\if@verbose
\typeout{(clipped to BB) }%
\fi
\special{ps:: doclip \space }%
\fi
\special{ps: plotfile \@p@sfilefinal \space }%
\special{ps::[end] endTexFig \space }%
}%
\def\psfig@end{}%
\def\epsfig@gofer{\if@clip
\if@verbose
\typeout{(clipped to BB)}%
\fi
\epsfclipon
\fi
\epsfsetgraph{\@p@sfilefinal}%
}%
%
\or % case 3, emTeX
\typeout{WARNING. You must have a .bb info file with the Bounding Box
of the pcx file}%
\def\psfig@start{}%
% when emtex imports a pcx file, it is *below* where we are now.
% so raise the box
\def\psfig@end{\typeout{pcx import of \@p@sfilefinal}%
\if@clip \typeout{Clipping not supported}\fi
\if@angle \typeout{Rotating not supported}\fi
\raisebox{\@p@srheight sp}{\special{em: graph \@p@sfilefinal}}}%
\def\epsfig@gofer{}%
%
\or % case 4, OzTeX
\def\psfig@start{}%
\def\psfig@end{%
\EPS@Width\@p@swidth
\EPS@Height\@p@sheight
\divide\EPS@Width by 65781 % convert sp to bp
\divide\EPS@Height by 65781
\special{epsf=\@p@sfilefinal
\space
width=\the\EPS@Width
\space
height=\the\EPS@Height
}%
\if@clip \typeout{Clipping not supported}\fi
\if@angle \typeout{Rotating not supported}\fi
}%
\let\epsfig@gofer\psfig@end
\or % case 5, Textures
\def\psfig@end{
% what is scaling of picture
\EPS@Width=\@bbw
\divide\EPS@Width by 1000
\EPS@xscale=\@p@swidth \divide \EPS@xscale by \EPS@Width
\EPS@Height=\@bbh
\divide\EPS@Height by 1000
\EPS@yscale=\@p@sheight \divide \EPS@yscale by\EPS@Height
% take largest calculated scale
\ifnum\EPS@xscale>\EPS@yscale\EPS@xscale=\EPS@yscale\fi
\if@clip
\if@verbose
\typeout{(clipped to BB)}%
\fi
\epsfclipon
\fi
\special{illustration \@p@sfilefinal\space scaled \the\EPS@xscale}%
}%
\def\psfig@start{}%
\let\epsfig\psfig
\else
\typeout{WARNING. *** unknown driver - no psfig}%
\fi
}%
% copies of bits of LaTeX we need....
\newdimen\ps@dimcent
%
% \fbox is defined in latex.tex; so if \fbox is undefined, assume that
% we are not in LaTeX.
% Perhaps this could be done better???
\ifx\undefined\fbox
% \fbox code from modified slightly from LaTeX
\newdimen\fboxrule
\newdimen\fboxsep
\newdimen\ps@tempdima
\newbox\ps@tempboxa
\fboxsep = 0pt
\fboxrule = .4pt
\long\def\fbox#1{\leavevmode\setbox\ps@tempboxa\hbox{#1}\ps@tempdima\fboxrule
\advance\ps@tempdima \fboxsep \advance\ps@tempdima \dp\ps@tempboxa
\hbox{\lower \ps@tempdima\hbox
{\vbox{\hrule height \fboxrule
\hbox{\vrule width \fboxrule \hskip\fboxsep
\vbox{\vskip\fboxsep \box\ps@tempboxa\vskip\fboxsep}\hskip
\fboxsep\vrule width \fboxrule}%
\hrule height \fboxrule}}}}%
\fi
\ifx\@ifundefined\undefined
\long\def\@ifundefined#1#2#3{\expandafter\ifx\csname
#1\endcsname\relax#2\else#3\fi}%
\fi
%
\@ifundefined{typeout}%
{\gdef\typeout#1{\immediate\write\sixt@@n{#1}}}%
{\relax}%
%
%%% check to see if macros already loaded in (maybe some other file says
%%% "\input epsfig") ...
\@ifundefined{epsfig}{}{\typeout{EPSFIG --- already loaded}\endinput}%
%
%%%
%%% we need Rokicki's EPSF macros anyway, unless they are already loaded
%
\@ifundefined{epsfbox}{\input epsf}{}%
%
%% SPQR 12.91 handling of errors using standard LaTeX error
%% mechanism. In case we are plain TeX we first define the
%% error routines...
\ifx\undefined\@latexerr
\newlinechar`\^^J
\def\@spaces{\space\space\space\space}%
\def\@latexerr#1#2{%
\edef\@tempc{#2}\expandafter\errhelp\expandafter{\@tempc}%
\typeout{Error. \space see a manual for explanation.^^J
\space\@spaces\@spaces\@spaces Type \space H <return> \space for
immediate help.}\errmessage{#1}}%
\fi
%------------------------
%% a couple of LaTeX error messages
\def\@whattodo{You tried to include a PostScript figure which
cannot be found^^JIf you press return to carry on anyway,^^J
The failed name will be printed in place of the figure.^^J
or type X to quit}%
\def\@whattodobb{You tried to include a PostScript figure which
has no^^Jbounding box, and you supplied none.^^J
If you press return to carry on anyway,^^J
The failed name will be printed in place of the figure.^^J
or type X to quit}%
%------------------------
%
%------------------------------------------------------------------------
%------------------------------------------------------------------------
%%% @psdo control structure -- similar to Latex @for.
%%% I redefined these with different names so that psfig can
%%% be used with TeX as well as LaTeX, and so that it will not
%%% be vunerable to future changes in LaTeX's internal
%%% control structure,
%
\def\@nnil{\@nil}%
\def\@empty{}%
\def\@psdonoop#1\@@#2#3{}%
\def\@psdo#1:=#2\do#3{\edef\@psdotmp{#2}\ifx\@psdotmp\@empty \else
\expandafter\@psdoloop#2,\@nil,\@nil\@@#1{#3}\fi}%
\def\@psdoloop#1,#2,#3\@@#4#5{\def#4{#1}\ifx #4\@nnil \else
#5\def#4{#2}\ifx #4\@nnil \else#5\@ipsdoloop #3\@@#4{#5}\fi\fi}%
\def\@ipsdoloop#1,#2\@@#3#4{\def#3{#1}\ifx #3\@nnil
\let\@nextwhile=\@psdonoop \else
#4\relax\let\@nextwhile=\@ipsdoloop\fi\@nextwhile#2\@@#3{#4}}%
\def\@tpsdo#1:=#2\do#3{\xdef\@psdotmp{#2}\ifx\@psdotmp\@empty \else
\@tpsdoloop#2\@nil\@nil\@@#1{#3}\fi}%
\def\@tpsdoloop#1#2\@@#3#4{\def#3{#1}\ifx #3\@nnil
\let\@nextwhile=\@psdonoop \else
#4\relax\let\@nextwhile=\@tpsdoloop\fi\@nextwhile#2\@@#3{#4}}%
%%%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% file reading stuff from epsf.tex
%%% EPSF.TEX macro file:
%%% Written by Tomas Rokicki of Radical Eye Software, 29 Mar 1989.
%%% Revised by Don Knuth, 3 Jan 1990.
%%% Revised by Tomas Rokicki to accept bounding boxes with no
%%% space after the colon, 18 Jul 1990.
%%% Portions modified/removed for use in PSFIG package by
%%% J. Daniel Smith, 9 October 1990.
%%% Just the bit which knows about (atend) as a BoundingBox
%
%%% hacked back a bit by SPQR 12/91
%
\long\def\epsfaux#1#2:#3\\{\ifx#1\epsfpercent
\def\testit{#2}\ifx\testit\epsfbblit
\@atendfalse
\epsf@atend #3 . \\%
\if@atend
\if@verbose
\typeout{epsfig: found `(atend)'; continuing search}%
\fi
\else
\epsfgrab #3 . . . \\%
\epsffileokfalse\global\no@bbfalse
\global\epsfbbfoundtrue
\fi
\fi\fi}%
%
%%% Determine if the stuff following the %%BoundingBox is `(atend)'
%%% J. Daniel Smith. Copied from \epsf@grab above.
%
\def\epsf@atendlit{(atend)}
%
\def\epsf@atend #1 #2 #3\\{%
\def\epsf@tmp{#1}\ifx\epsf@tmp\empty
\epsf@atend #2 #3 .\\\else
\ifx\epsf@tmp\epsf@atendlit\@atendtrue\fi\fi}%
%%% End of file reading stuff from epsf.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% trigonometry stuff from "trig.tex"
\chardef\trig@letter = 11
\chardef\other = 12
\newif\ifdebug %%% turn me on to see TeX hard at work ...
\newif\ifc@mpute %%% don't need to compute some values
\newif\if@atend
\c@mputetrue % but assume that we do
\let\then = \relax
\def\r@dian{pt }%
\let\r@dians = \r@dian
\let\dimensionless@nit = \r@dian
\let\dimensionless@nits = \dimensionless@nit
\def\internal@nit{sp }%
\let\internal@nits = \internal@nit
\newif\ifstillc@nverging
\def \Mess@ge #1{\ifdebug \then \message {#1} \fi}%
{ %%% Things that need abnormal catcodes %%%
\catcode `\@ = \trig@letter
\gdef \nodimen {\expandafter \n@dimen \the \dimen}%
\gdef \term #1 #2 #3%
{\edef \t@ {\the #1}%%% freeze parameter 1 (count, by value)
\edef \t@@ {\expandafter \n@dimen \the #2\r@dian}%
%%% freeze parameter 2 (dimen, by value)
\t@rm {\t@} {\t@@} {#3}%
}%
\gdef \t@rm #1 #2 #3%
{{%
\count 0 = 0
\dimen 0 = 1 \dimensionless@nit
\dimen 2 = #2\relax
\Mess@ge {Calculating term #1 of \nodimen 2}%
\loop
\ifnum \count 0 < #1
\then \advance \count 0 by 1
\Mess@ge {Iteration \the \count 0 \space}%
\Multiply \dimen 0 by {\dimen 2}%
\Mess@ge {After multiplication, term = \nodimen 0}%
\Divide \dimen 0 by {\count 0}%
\Mess@ge {After division, term = \nodimen 0}%
\repeat
\Mess@ge {Final value for term #1 of
\nodimen 2 \space is \nodimen 0}%
\xdef \Term {#3 = \nodimen 0 \r@dians}%
\aftergroup \Term
}}%
\catcode `\p = \other
\catcode `\t = \other
\gdef \n@dimen #1pt{#1} %%% throw away the ``pt''
}%
\def \Divide #1by #2{\divide #1 by #2} %%% just a synonym
\def \Multiply #1by #2%%% allows division of a dimen by a dimen
{{%%% should really freeze parameter 2 (dimen, passed by value)
\count 0 = #1\relax
\count 2 = #2\relax
\count 4 = 65536
\Mess@ge {Before scaling, count 0 = \the \count 0 \space and
count 2 = \the \count 2}%
\ifnum \count 0 > 32767 %%% do our best to avoid overflow
\then \divide \count 0 by 4
\divide \count 4 by 4
\else \ifnum \count 0 < -32767
\then \divide \count 0 by 4
\divide \count 4 by 4
\else
\fi
\fi
\ifnum \count 2 > 32767 %%% while retaining reasonable accuracy
\then \divide \count 2 by 4
\divide \count 4 by 4
\else \ifnum \count 2 < -32767
\then \divide \count 2 by 4
\divide \count 4 by 4
\else
\fi
\fi
\multiply \count 0 by \count 2
\divide \count 0 by \count 4
\xdef \product {#1 = \the \count 0 \internal@nits}%
\aftergroup \product
}}%
\def\r@duce{\ifdim\dimen0 > 90\r@dian \then % sin(x) = sin(180-x)
\multiply\dimen0 by -1
\advance\dimen0 by 180\r@dian
\r@duce
\else \ifdim\dimen0 < -90\r@dian \then % sin(x) = sin(360+x)
\advance\dimen0 by 360\r@dian
\r@duce
\fi
\fi}%
\def\Sine#1%
{{%
\dimen 0 = #1 \r@dian
\r@duce
\ifdim\dimen0 = -90\r@dian \then
\dimen4 = -1\r@dian
\c@mputefalse
\fi
\ifdim\dimen0 = 90\r@dian \then
\dimen4 = 1\r@dian
\c@mputefalse
\fi
\ifdim\dimen0 = 0\r@dian \then
\dimen4 = 0\r@dian
\c@mputefalse
\fi
%
\ifc@mpute \then
% convert degrees to radians
\divide\dimen0 by 180
\dimen0=3.141592654\dimen0
%
\dimen 2 = 3.1415926535897963\r@dian %%% a well-known constant
\divide\dimen 2 by 2 %%% we only deal with -pi/2 : pi/2
\Mess@ge {Sin: calculating Sin of \nodimen 0}%
\count 0 = 1 %%% see power-series expansion for sine
\dimen 2 = 1 \r@dian %%% ditto
\dimen 4 = 0 \r@dian %%% ditto
\loop
\ifnum \dimen 2 = 0 %%% then we've done
\then \stillc@nvergingfalse
\else \stillc@nvergingtrue
\fi
\ifstillc@nverging %%% then calculate next term
\then \term {\count 0} {\dimen 0} {\dimen 2}%
\advance \count 0 by 2
\count 2 = \count 0
\divide \count 2 by 2
\ifodd \count 2 %%% signs alternate
\then \advance \dimen 4 by \dimen 2
\else \advance \dimen 4 by -\dimen 2
\fi
\repeat
\fi
\xdef \sine {\nodimen 4}%
}}%
%%% Now the Cosine can be calculated easily by calling \Sine:
%%% cos(x) = sin(90-x)
\def\Cosine#1{\ifx\sine\UnDefined\edef\Savesine{\relax}\else
\edef\Savesine{\sine}\fi
{\dimen0=#1\r@dian\multiply\dimen0 by -1
\advance\dimen0 by 90\r@dian
\Sine{\nodimen 0}%
\xdef\cosine{\sine}%
\xdef\sine{\Savesine}}}
%%% end of trig stuff
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\def\psdraft{\def\@psdraft{0}}%
\def\psfull{\def\@psdraft{1}}%
\psfull
\newif\if@compress
\def\pscompress{\@compresstrue}
\def\psnocompress{\@compressfalse}
\@compressfalse
\newif\if@scalefirst
\def\psscalefirst{\@scalefirsttrue}%
\def\psrotatefirst{\@scalefirstfalse}%
\psrotatefirst
%
\newif\if@draftbox
\def\psnodraftbox{\@draftboxfalse}%
\@draftboxtrue
%
\newif\if@noisy
\@noisyfalse
\newif\ifno@bb
%%% These are for the option list.
%%% A specification of the form a = b maps to calling \@p@@sa{b}%
\newif\if@bbllx
\newif\if@bblly
\newif\if@bburx
\newif\if@bbury
\newif\if@height
\newif\if@width
\newif\if@rheight
\newif\if@rwidth
\newif\if@angle
\newif\if@clip
\newif\if@verbose
\newif\if@prologfile
\def\@p@@sprolog#1{\@prologfiletrue\def\@prologfileval{#1}}%
\def\@p@@sclip#1{\@cliptrue}%
%
\newif\ifepsfig@dos % only single suffix possible
\def\epsfigdos{\epsfig@dostrue}%
\epsfig@dosfalse
%%% if this is true, the original Darrell macros and specials are used
\newif\ifuse@psfig
%
\def\ParseName#1{\expandafter\@Parse#1}%
\def\@Parse#1.#2:{\gdef\BaseName{#1}\gdef\FileType{#2}}%
\def\@p@@sfile#1{%
\ifepsfig@dos
\ParseName{#1:}%
\else
\gdef\BaseName{#1}\gdef\FileType{}%
\fi
\def\@p@sfile{NO FILE: #1}%
\def\@p@sfilefinal{NO FILE: #1}%
\openin1=#1
\ifeof1\closein1\openin1=\BaseName.bb
\ifeof1\closein1
\if@bbllx % No postscript file but bb given explicitly.
\if@bblly\if@bburx\if@bbury
\def\@p@sfile{#1}%
\def\@p@sfilefinal{#1}%
\fi\fi\fi
\else % No bounding box found.
\@latexerr{ERROR. PostScript file #1 not found}\@whattodo
\@p@@sbbllx{100bp}%
\@p@@sbblly{100bp}%
\@p@@sbburx{200bp}%
\@p@@sbbury{200bp}%
\psdraft
\fi
\else % Postscript file is compressed.
\closein1%
\edef\@p@sfile{\BaseName.bb}%
\typeout{using BB from \@p@sfile}%
\ifnum\fig@driver=3
\edef\@p@sfilefinal{\BaseName.pcx}%
\else
\ifepsfig@dos
\edef\@p@sfilefinal{"`gunzip -c `texfind \BaseName.{z,Z,gz}"}%
\else
\edef\@p@sfilefinal{"`epsfig \if@compress-c \fi#1"}%
\fi
\fi
\fi
\else\closein1 % Postscript file is not compressed.
\edef\@p@sfile{#1}%
\if@compress
\edef\@p@sfilefinal{"`epsfig -c #1"}%
\else
\edef\@p@sfilefinal{#1}%
\fi
\fi%
}
% alternative syntax: figure=
\let\@p@@sfigure\@p@@sfile
%
\def\@p@@sbbllx#1{%
\@bbllxtrue
\ps@dimcent=#1
\edef\@p@sbbllx{\number\ps@dimcent}%
\divide\ps@dimcent by65536
\global\edef\epsfllx{\number\ps@dimcent}%
}%
\def\@p@@sbblly#1{%
\@bbllytrue
\ps@dimcent=#1
\edef\@p@sbblly{\number\ps@dimcent}%
\divide\ps@dimcent by65536
\global\edef\epsflly{\number\ps@dimcent}%
}%
\def\@p@@sbburx#1{%
\@bburxtrue
\ps@dimcent=#1
\edef\@p@sbburx{\number\ps@dimcent}%
\divide\ps@dimcent by65536
\global\edef\epsfurx{\number\ps@dimcent}%
}%
\def\@p@@sbbury#1{%
\@bburytrue
\ps@dimcent=#1
\edef\@p@sbbury{\number\ps@dimcent}%
\divide\ps@dimcent by65536
\global\edef\epsfury{\number\ps@dimcent}%
}%
\def\@p@@sheight#1{%
\@heighttrue
\global\epsfysize=#1
\ps@dimcent=#1
\edef\@p@sheight{\number\ps@dimcent}%
}%
\def\@p@@swidth#1{%
\@widthtrue
\global\epsfxsize=#1
\ps@dimcent=#1
\edef\@p@swidth{\number\ps@dimcent}%
}%
\def\@p@@srheight#1{%
\@rheighttrue\use@psfigtrue
\ps@dimcent=#1
\edef\@p@srheight{\number\ps@dimcent}%
}%
\def\@p@@srwidth#1{%
\@rwidthtrue\use@psfigtrue
\ps@dimcent=#1
\edef\@p@srwidth{\number\ps@dimcent}%
}%
\def\@p@@sangle#1{%
\use@psfigtrue
\@angletrue
\edef\@p@sangle{#1}%
}%
\def\@p@@ssilent#1{%
\@verbosefalse
}%
\def\@p@@snoisy#1{%
\@verbosetrue
}%
\def\@cs@name#1{\csname #1\endcsname}%
\def\@setparms#1=#2,{\@cs@name{@p@@s#1}{#2}}%
%
%%% initialize the defaults (size the size of the figure)
%
\def\ps@init@parms{%
\@bbllxfalse \@bbllyfalse
\@bburxfalse \@bburyfalse
\@heightfalse \@widthfalse
\@rheightfalse \@rwidthfalse
\def\@p@sbbllx{}\def\@p@sbblly{}%
\def\@p@sbburx{}\def\@p@sbbury{}%
\def\@p@sheight{}\def\@p@swidth{}%
\def\@p@srheight{}\def\@p@srwidth{}%
\def\@p@sangle{0}%
\def\@p@sfile{}%
\use@psfigfalse
\@prologfilefalse
\def\@sc{}%
\if@noisy
\@verbosetrue
\else
\@verbosefalse
\fi
\@clipfalse
}%
%
%%% Go through the options setting things up.
%
\def\parse@ps@parms#1{%
\@psdo\@psfiga:=#1\do
{\expandafter\@setparms\@psfiga,}%
\if@prologfile
\special{header=\@prologfileval}%
\fi
}%
%
%%% Compute bb height and width
%
\def\bb@missing{%
\if@verbose
\typeout{psfig: searching \@p@sfile \space for bounding box}%
\fi
\epsfgetbb{\@p@sfile}%
\ifepsfbbfound
\ps@dimcent=\epsfllx bp\edef\@p@sbbllx{\number\ps@dimcent}%
\ps@dimcent=\epsflly bp\edef\@p@sbblly{\number\ps@dimcent}%
\ps@dimcent=\epsfurx bp\edef\@p@sbburx{\number\ps@dimcent}%
\ps@dimcent=\epsfury bp\edef\@p@sbbury{\number\ps@dimcent}%
\else
\epsfbbfoundfalse
\fi
}
%
% rotate point (#1,#2) about (0,0).
% The sine and cosine of the angle are already stored in \sine and
% \cosine. The result is placed in (\p@intvaluex, \p@intvaluey).
\newdimen\p@intvaluex
\newdimen\p@intvaluey
\def\rotate@#1#2{{\dimen0=#1 sp\dimen1=#2 sp
% calculate x' = x \cos\theta - y \sin\theta
\global\p@intvaluex=\cosine\dimen0
\dimen3=\sine\dimen1
\global\advance\p@intvaluex by -\dimen3
% calculate y' = x \sin\theta + y \cos\theta
\global\p@intvaluey=\sine\dimen0
\dimen3=\cosine\dimen1
\global\advance\p@intvaluey by \dimen3
}}%
\def\compute@bb{%
\epsfbbfoundfalse
\if@bbllx\epsfbbfoundtrue\fi
\if@bblly\epsfbbfoundtrue\fi
\if@bburx\epsfbbfoundtrue\fi
\if@bbury\epsfbbfoundtrue\fi
\ifepsfbbfound\else\bb@missing\fi
\ifepsfbbfound\else
\@latexerr{ERROR. cannot locate BoundingBox}\@whattodobb
\@p@@sbbllx{100bp}%
\@p@@sbblly{100bp}%
\@p@@sbburx{200bp}%
\@p@@sbbury{200bp}%
\no@bbtrue
\psdraft
\fi
%
%
% store height/width of original (unrotated) bounding box
\count203=\@p@sbburx
\count204=\@p@sbbury
\advance\count203 by -\@p@sbbllx
\advance\count204 by -\@p@sbblly
\edef\ps@bbw{\number\count203}%
\edef\ps@bbh{\number\count204}%
\edef\@bbw{\number\count203}%
\edef\@bbh{\number\count204}%
\if@angle
\Sine{\@p@sangle}\Cosine{\@p@sangle}%
{\ps@dimcent=\maxdimen\xdef\r@p@sbbllx{\number\ps@dimcent}%
\xdef\r@p@sbblly{\number\ps@dimcent}%
\xdef\r@p@sbburx{-\number\ps@dimcent}%
\xdef\r@p@sbbury{-\number\ps@dimcent}}%
%
% Need to rotate all four points and take the X-Y extremes of the new
% points as the new bounding box.
\def\minmaxtest{%
\ifnum\number\p@intvaluex<\r@p@sbbllx
\xdef\r@p@sbbllx{\number\p@intvaluex}\fi
\ifnum\number\p@intvaluex>\r@p@sbburx
\xdef\r@p@sbburx{\number\p@intvaluex}\fi
\ifnum\number\p@intvaluey<\r@p@sbblly
\xdef\r@p@sbblly{\number\p@intvaluey}\fi
\ifnum\number\p@intvaluey>\r@p@sbbury
\xdef\r@p@sbbury{\number\p@intvaluey}\fi
}%
% lower left
\rotate@{\@p@sbbllx}{\@p@sbblly}%
\minmaxtest
% upper left
\rotate@{\@p@sbbllx}{\@p@sbbury}%
\minmaxtest
% lower right
\rotate@{\@p@sbburx}{\@p@sbblly}%
\minmaxtest
% upper right
\rotate@{\@p@sbburx}{\@p@sbbury}%
\minmaxtest
\edef\@p@sbbllx{\r@p@sbbllx}\edef\@p@sbblly{\r@p@sbblly}%
\edef\@p@sbburx{\r@p@sbburx}\edef\@p@sbbury{\r@p@sbbury}%
\fi
\count203=\@p@sbburx
\count204=\@p@sbbury
\advance\count203 by -\@p@sbbllx
\advance\count204 by -\@p@sbblly
\edef\@bbw{\number\count203}%
\edef\@bbh{\number\count204}%
}%
%
% \in@hundreds performs #1 * (#2 / #3) correct to the hundreds,
% then leaves the result in @result
%
\def\in@hundreds#1#2#3{\count240=#2 \count241=#3
\count100=\count240 % 100 is first digit #2/#3
\divide\count100 by \count241
\count101=\count100
\multiply\count101 by \count241
\advance\count240 by -\count101
\multiply\count240 by 10
\count101=\count240 %101 is second digit of #2/#3
\divide\count101 by \count241
\count102=\count101
\multiply\count102 by \count241
\advance\count240 by -\count102
\multiply\count240 by 10
\count102=\count240 % 102 is the third digit
\divide\count102 by \count241
\count200=#1\count205=0
\count201=\count200
\multiply\count201 by \count100
\advance\count205 by \count201
\count201=\count200
\divide\count201 by 10
\multiply\count201 by \count101
\advance\count205 by \count201
%
\count201=\count200
\divide\count201 by 100
\multiply\count201 by \count102
\advance\count205 by \count201
%
\edef\@result{\number\count205}%
}%
\def\compute@wfromh{%
% computing : width = height * (bbw / bbh)
\in@hundreds{\@p@sheight}{\@bbw}{\@bbh}%
\edef\@p@swidth{\@result}%
}%
\def\compute@hfromw{%
% computing : height = width * (bbh / bbw)
\in@hundreds{\@p@swidth}{\@bbh}{\@bbw}%
\edef\@p@sheight{\@result}%
}%
\def\compute@handw{%
\if@height
\if@width
\else
\compute@wfromh
\fi
\else
\if@width
\compute@hfromw
\else
\edef\@p@sheight{\@bbh}%
\edef\@p@swidth{\@bbw}%
\fi
\fi
}%
\def\compute@resv{%
\if@rheight \else \edef\@p@srheight{\@p@sheight} \fi
\if@rwidth \else \edef\@p@srwidth{\@p@swidth} \fi
}%
%
% Compute any missing values
\def\compute@sizes{%
\if@scalefirst\if@angle
% at this point the bounding box has been adjsuted correctly for
% rotation. PSFIG does all of its scaling using \@bbh and \@bbw. If
% a width= or height= was specified along with \psscalefirst, then the
% width=/height= value needs to be adjusted to match the new (rotated)
% bounding box size (specifed in \@bbw and \@bbh).
% \ps@bbw width=
% ------- = ----------
% \@bbw new width=
% so `new width=' = (width= * \@bbw) / \ps@bbw; where \ps@bbw is the
% width of the original (unrotated) bounding box.
\if@width
\in@hundreds{\@p@swidth}{\@bbw}{\ps@bbw}%
\edef\@p@swidth{\@result}%
\fi
\if@height
\in@hundreds{\@p@sheight}{\@bbh}{\ps@bbh}%
\edef\@p@sheight{\@result}%
\fi
\fi\fi
\compute@handw
\compute@resv
}
%
%------------------------------------------------------------------
%%% by the way, possible parameters to the PSfile= command in dvips are:
%%% llx
%%% lly
%%% urx
%%% ury
%%% rwi
% hoffset The horizontal offset (default 0)
% voffset The vertical offset (default 0)
% hsize The horizontal clipping size (default 612)
% vsize The vertical clipping size (default 792)
% hscale The horizontal scaling factor (default 100)
% vscale The vertical scaling factor (default 100)
% angle The rotation (default 0)
%------------------------------------------------------------------
\long\def\graphic@verb#1{\def\next{#1}%
{\expandafter\graphic@strip\meaning\next}}
\def\graphic@strip#1>{}
\def\graphic@zapspace#1{%
#1\ifx\graphic@zapspace#1\graphic@zapspace%
\else\expandafter\graphic@zapspace%
\fi}
\def\psfig#1{%
\edef\@tempa{\graphic@zapspace#1{}}%
\ifvmode\leavevmode\fi\vbox {%
%
\ps@init@parms
\parse@ps@parms{\@tempa}%
%
\ifnum\@psdraft=1
\typeout{[\@p@sfilefinal]}%
\if@verbose
\typeout{epsfig: using PSFIG macros}%
\fi
\psfig@method
\else
\epsfig@draft
\fi
}
}%
\def\graphic@zapspace#1{%
#1\ifx\graphic@zapspace#1\graphic@zapspace%
\else\expandafter\graphic@zapspace%
\fi}
\def\epsfig#1{%
\edef\@tempa{\graphic@zapspace#1{}}%
\ifvmode\leavevmode\fi\vbox {%
%
\ps@init@parms
\parse@ps@parms{\@tempa}%
%
\ifnum\@psdraft=1
\if@angle\use@psfigtrue\fi
{\ifnum\fig@driver=1\global\use@psfigtrue\fi}%
{\ifnum\fig@driver=3\global\use@psfigtrue\fi}%
{\ifnum\fig@driver=4\global\use@psfigtrue\fi}%
{\ifnum\fig@driver=5\global\use@psfigtrue\fi}%
\ifuse@psfig
\if@verbose
\typeout{epsfig: using PSFIG macros}%
\fi
\psfig@method
\else
\if@verbose
\typeout{epsfig: using EPSF macros}%
\fi
\epsf@method
\fi
\else
\epsfig@draft
\fi
}%
}%
\def\epsf@method{%
\epsfbbfoundfalse
\if@bbllx\epsfbbfoundtrue\fi
\if@bblly\epsfbbfoundtrue\fi
\if@bburx\epsfbbfoundtrue\fi
\if@bbury\epsfbbfoundtrue\fi
\ifepsfbbfound\else\epsfgetbb{\@p@sfile}\fi
\ifepsfbbfound
\typeout{<\@p@sfilefinal>}%
\epsfig@gofer
\else
\@latexerr{ERROR - Cannot locate BoundingBox}\@whattodobb
\@p@@sbbllx{100bp}%
\@p@@sbblly{100bp}%
\@p@@sbburx{200bp}%
\@p@@sbbury{200bp}%
\count203=\@p@sbburx
\count204=\@p@sbbury
\advance\count203 by -\@p@sbbllx
\advance\count204 by -\@p@sbblly
\edef\@bbw{\number\count203}%
\edef\@bbh{\number\count204}%
\compute@sizes
\epsfig@@draft
\fi
}%
\def\psfig@method{%
\compute@bb
\ifepsfbbfound
\compute@sizes
\psfig@start
% Create the vbox to reserve the space for the figure%
\vbox to \@p@srheight sp{\hbox to \@p@srwidth
sp{\hss}\vss\psfig@end}%
\else
\epsfig@draft
\fi
}%
%
% draft figure, just reserve the space and print the
% path name.
\def\epsfig@draft{\compute@bb\compute@sizes\epsfig@@draft}%
%
\def\epsfig@@draft{%
\typeout{<(draft only) \@p@sfilefinal>}%
\if@draftbox
% Verbose draft: print file name in box
\hbox{{\fboxsep0pt\fbox{\vbox to \@p@srheight sp{%
\vss\hbox to \@p@srwidth sp{ \hss
\expandafter\Literally\@p@sfilefinal\@nil
\hss }\vss
}}}}%
\else
% Non-verbose draft
\vbox to \@p@srheight sp{%
\vss\hbox to \@p@srwidth sp{\hss}\vss}%
\fi
}%
\def\Literally#1\@nil{{\tt\graphic@verb{#1}}}
% default to dvips
\psfigdriver{dvips}%
% and to DOS file conventions
%%% \epsfigdos
\epsfigRestoreAt