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+% Psfig/TeX
+\def\PsfigVersion{1.10}
+\def\setDriver{\DvipsDriver} % \DvipsDriver or \OzTeXDriver
+%
+% All software, documentation, and related files in this distribution of
+% psfig/tex are Copyright 1993 Trevor J. Darrell
+%
+% Permission is granted for use and non-profit distribution of psfig/tex
+% providing that this notice is 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.
+%
+% To use with LaTeX, use \documentstyle[psfig,...]{...}
+% To use with TeX, use \input psfig.sty
+%
+% Bugs and improvements to trevor@media.mit.edu.
+%
+% Thanks to Ned Batchelder, Greg Hager (GDH), J. Daniel Smith (JDS),
+% Tom Rokicki (TR), Robert Russell (RR), George V. Reilly (GVR),
+% Ken McGlothlen (KHC), Baron Grey (BG), Gerhard Tobermann (GT).
+% and all others who have contributed code and comments to this project!
+%
+% ======================================================================
+% Modification History:
+%
+% 9 Oct 1990 JDS used more robust bbox reading code from Tom Rokicki
+% 29 Mar 1991 JDS implemented rotation= option
+% 25 Jun 1991 RR if bb specified on cmd line don't check
+% for .ps file.
+% 3 Jul 1991 JDS check if file already read in once
+% 4 Sep 1991 JDS fixed incorrect computation of rotated
+% bounding box
+% 25 Sep 1991 GVR expanded synopsis of \psfig
+% 14 Oct 1991 JDS \fbox code from LaTeX so \psdraft works with TeX
+% changed \typeout to \ps@typeout
+% 17 Oct 1991 JDS added \psscalefirst and \psrotatefirst
+% 23 Jun 1993 KHC ``doclip'' must appear before ``rotate''
+% 27 Oct 1993 TJD removed printing of filename to avoid
+% underscore problems. changed \frame to \fbox.
+% Added OzTeX support from BG. Added new
+% figure search path code from GT.
+%
+% ======================================================================
+%
+% Command synopsis:
+%
+% \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.
+%
+% \psfigurepath{dir:dir:...} sets the path to search for the figure
+%
+% \psfig
+% usage: \psfig{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. If these four values are specified
+% *before* the "file" option, the PSFIG will not try to
+% open the PostScript file.
+% "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.
+%
+% ======================================================================
+% check to see if macros already loaded in (maybe some other file says
+% "\input psfig") ...
+\ifx\undefined\psfig\else\endinput\fi
+%
+% from a suggestion by eijkhout@csrd.uiuc.edu to allow
+% loading as a style file. Changed to avoid problems
+% with amstex per suggestion by jbence@math.ucla.edu
+
+\let\LaTeXAtSign=\@
+\let\@=\relax
+\edef\psfigRestoreAt{\catcode`\@=\number\catcode`@\relax}
+%\edef\psfigRestoreAt{\catcode`@=\number\catcode`@\relax}
+\catcode`\@=11\relax
+\newwrite\@unused
+\def\ps@typeout#1{{\let\protect\string\immediate\write\@unused{#1}}}
+
+\def\DvipsDriver{
+ \ps@typeout{psfig/tex \PsfigVersion -dvips}
+\def\PsfigSpecials{\DvipsSpecials} \def\ps@dir{/}
+\def\ps@predir{} }
+\def\OzTeXDriver{
+ \ps@typeout{psfig/tex \PsfigVersion -oztex}
+ \def\PsfigSpecials{\OzTeXSpecials}
+ \def\ps@dir{:}
+ \def\ps@predir{:}
+ \catcode`\^^J=5
+}
+
+%% Here's how you define your figure path. Should be set up with null
+%% default and a user useable definition.
+
+\def\figurepath{./:}
+\def\psfigurepath#1{\edef\figurepath{#1:}}
+
+%%% inserted for Searching Unixpaths
+%%% (the path must end with :)
+%%% (call: \DoPaths\figurepath )
+%%%------------------------------------------------------
+\def\DoPaths#1{\expandafter\EachPath#1\stoplist}
+%
+\def\leer{}
+\def\EachPath#1:#2\stoplist{% #1 part of the list (delimiter :)
+ \ExistsFile{#1}{\SearchedFile}
+ \ifx#2\leer
+ \else
+ \expandafter\EachPath#2\stoplist
+ \fi}
+%
+% exists the file (does not work for directories!)
+%
+\def\ps@dir{/}
+\def\ExistsFile#1#2{%
+ \openin1=\ps@predir#1\ps@dir#2
+ \ifeof1
+ \closein1
+ %\ps@typeout{...not: \ps@predir#1\ps@dir#2}
+ \else
+ \closein1
+ %\ps@typeout{...in: \ps@predir#1\ps@dir#2}
+ \ifx\ps@founddir\leer
+ %\ps@typeout{set founddir #1}
+ \edef\ps@founddir{#1}
+ \fi
+ \fi}
+%------------------------------------------------------
+%
+% Get dir in path or error
+%
+\def\get@dir#1{%
+ \def\ps@founddir{}
+ \def\SearchedFile{#1}
+ \DoPaths\figurepath
+% \fi
+}
+%------------------------------------------------------
+%%% END of Searching Unixpaths
+
+
+%
+% @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}}
+%
+% \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 = 3pt
+\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
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% 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.
+%
+\newread\ps@stream
+\newif\ifnot@eof % continue looking for the bounding box?
+\newif\if@noisy % report what you're making?
+\newif\if@atend % %%BoundingBox: has (at end) specification
+\newif\if@psfile % does this look like a PostScript file?
+%
+% PostScript files should start with `%!'
+%
+{\catcode`\%=12\global\gdef\epsf@start{%!}}
+\def\epsf@PS{PS}
+%
+\def\epsf@getbb#1{%
+%
+% The first thing we need to do is to open the
+% PostScript file, if possible.
+%
+\openin\ps@stream=\ps@predir#1
+\ifeof\ps@stream\ps@typeout{Error, File #1 not found}\else
+%
+% Okay, we got it. Now we'll scan lines until we find one that doesn't
+% start with %. We're looking for the bounding box comment.
+%
+ {\not@eoftrue \chardef\other=12
+ \def\do##1{\catcode`##1=\other}\dospecials \catcode`\ =10
+ \loop
+ \if@psfile
+ \read\ps@stream to \epsf@fileline
+ \else{
+ \obeyspaces
+ \read\ps@stream to \epsf@tmp\global\let\epsf@fileline\epsf@tmp}
+ \fi
+ \ifeof\ps@stream\not@eoffalse\else
+%
+% Check the first line for `%!'. Issue a warning message if its not
+% there, since the file might not be a PostScript file.
+%
+ \if@psfile\else
+ \expandafter\epsf@test\epsf@fileline:. \\%
+ \fi
+%
+% We check to see if the first character is a % sign;
+% if so, we look further and stop only if the line begins with
+% `%%BoundingBox:' and the `(atend)' specification was not found.
+% That is, the only way to stop is when the end of file is reached,
+% or a `%%BoundingBox: llx lly urx ury' line is found.
+%
+ \expandafter\epsf@aux\epsf@fileline:. \\%
+ \fi
+ \ifnot@eof\repeat
+ }\closein\ps@stream\fi}%
+%
+% This tests if the file we are reading looks like a PostScript file.
+%
+\long\def\epsf@test#1#2#3:#4\\{\def\epsf@testit{#1#2}
+ \ifx\epsf@testit\epsf@start\else
+\ps@typeout{Warning! File does not start with `\epsf@start'. It may not be a PostScript file.}
+ \fi
+ \@psfiletrue} % don't test after 1st line
+%
+% We still need to define the tricky \epsf@aux macro. This requires
+% a couple of magic constants for comparison purposes.
+%
+{\catcode`\%=12\global\let\epsf@percent=%\global\def\epsf@bblit{%BoundingBox}}
+%
+%
+% So we're ready to check for `%BoundingBox:' and to grab the
+% values if they are found. We continue searching if `(at end)'
+% was found after the `%BoundingBox:'.
+%
+\long\def\epsf@aux#1#2:#3\\{\ifx#1\epsf@percent
+ \def\epsf@testit{#2}\ifx\epsf@testit\epsf@bblit
+ \@atendfalse
+ \epsf@atend #3 . \\%
+ \if@atend
+ \if@verbose{
+ \ps@typeout{psfig: found `(atend)'; continuing search}
+ }\fi
+ \else
+ \epsf@grab #3 . . . \\%
+ \not@eoffalse
+ \global\no@bbfalse
+ \fi
+ \fi\fi}%
+%
+% Here we grab the values and stuff them in the appropriate definitions.
+%
+\def\epsf@grab #1 #2 #3 #4 #5\\{%
+ \global\def\epsf@llx{#1}\ifx\epsf@llx\empty
+ \epsf@grab #2 #3 #4 #5 .\\\else
+ \global\def\epsf@lly{#2}%
+ \global\def\epsf@urx{#3}\global\def\epsf@ury{#4}\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\psletter = 11 % won't conflict with \begin{letter} now...
+\chardef\other = 12
+
+\newif \ifdebug %%% turn me on to see TeX hard at work ...
+\newif\ifc@mpute %%% don't need to compute some values
+\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 `\@ = \psletter
+ \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+90) = 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
+\def\Cosine#1{\ifx\sine\UnDefined\edef\Savesine{\relax}\else
+ \edef\Savesine{\sine}\fi
+ {\dimen0=#1\r@dian\advance\dimen0 by 90\r@dian
+ \Sine{\nodimen 0}
+ \xdef\cosine{\sine}
+ \xdef\sine{\Savesine}}}
+% end of trig stuff
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\def\psdraft{
+ \def\@psdraft{0}
+ %\ps@typeout{draft level now is \@psdraft \space . }
+}
+\def\psfull{
+ \def\@psdraft{100}
+ %\ps@typeout{draft level now is \@psdraft \space . }
+}
+
+\psfull
+
+\newif\if@scalefirst
+\def\psscalefirst{\@scalefirsttrue}
+\def\psrotatefirst{\@scalefirstfalse}
+\psrotatefirst
+
+\newif\if@draftbox
+\def\psnodraftbox{
+ \@draftboxfalse
+}
+\def\psdraftbox{
+ \@draftboxtrue
+}
+\@draftboxtrue
+
+\newif\if@prologfile
+\newif\if@postlogfile
+\def\pssilent{
+ \@noisyfalse
+}
+\def\psnoisy{
+ \@noisytrue
+}
+\psnoisy
+%%% 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
+\def\@p@@sclip#1{\@cliptrue}
+%
+%
+\newif\if@decmpr
+%
+\def\@p@@sfigure#1{\def\@p@sfile{null}\def\@p@sbbfile{null}\@decmprfalse
+ % look directly for file (e.g. absolute path)
+ \openin1=\ps@predir#1
+ \ifeof1
+ \closein1
+ % failed, search directories for file
+ \get@dir{#1}
+ \ifx\ps@founddir\leer
+ % failed, search directly for file.bb
+ \openin1=\ps@predir#1.bb
+ \ifeof1
+ \closein1
+ % failed, search directories for file.bb
+ \get@dir{#1.bb}
+ \ifx\ps@founddir\leer
+ % failed, lose.
+ \ps@typeout{Can't find #1 in \figurepath}
+ \else
+ % found file.bb in search dir
+ \@decmprtrue
+ \def\@p@sfile{\ps@founddir\ps@dir#1}
+ \def\@p@sbbfile{\ps@founddir\ps@dir#1.bb}
+ \fi
+ \else
+ \closein1
+ %found file.bb directly
+ \@decmprtrue
+ \def\@p@sfile{#1}
+ \def\@p@sbbfile{#1.bb}
+ \fi
+ \else
+ % found file in search dir
+ \def\@p@sfile{\ps@founddir\ps@dir#1}
+ \def\@p@sbbfile{\ps@founddir\ps@dir#1}
+ \fi
+ \else
+ % found file directly
+ \closein1
+ \def\@p@sfile{#1}
+ \def\@p@sbbfile{#1}
+ \fi
+}
+%
+%
+%
+\def\@p@@sfile#1{\@p@@sfigure{#1}}
+%
+\def\@p@@sbbllx#1{
+ %\ps@typeout{bbllx is #1}
+ \@bbllxtrue
+ \dimen100=#1
+ \edef\@p@sbbllx{\number\dimen100}
+}
+\def\@p@@sbblly#1{
+ %\ps@typeout{bblly is #1}
+ \@bbllytrue
+ \dimen100=#1
+ \edef\@p@sbblly{\number\dimen100}
+}
+\def\@p@@sbburx#1{
+ %\ps@typeout{bburx is #1}
+ \@bburxtrue
+ \dimen100=#1
+ \edef\@p@sbburx{\number\dimen100}
+}
+\def\@p@@sbbury#1{
+ %\ps@typeout{bbury is #1}
+ \@bburytrue
+ \dimen100=#1
+ \edef\@p@sbbury{\number\dimen100}
+}
+\def\@p@@sheight#1{
+ \@heighttrue
+ \dimen100=#1
+ \edef\@p@sheight{\number\dimen100}
+ %\ps@typeout{Height is \@p@sheight}
+}
+\def\@p@@swidth#1{
+ %\ps@typeout{Width is #1}
+ \@widthtrue
+ \dimen100=#1
+ \edef\@p@swidth{\number\dimen100}
+}
+\def\@p@@srheight#1{
+ %\ps@typeout{Reserved height is #1}
+ \@rheighttrue
+ \dimen100=#1
+ \edef\@p@srheight{\number\dimen100}
+}
+\def\@p@@srwidth#1{
+ %\ps@typeout{Reserved width is #1}
+ \@rwidthtrue
+ \dimen100=#1
+ \edef\@p@srwidth{\number\dimen100}
+}
+\def\@p@@sangle#1{
+ %\ps@typeout{Rotation is #1}
+ \@angletrue
+% \dimen100=#1
+ \edef\@p@sangle{#1} %\number\dimen100}
+}
+\def\@p@@ssilent#1{
+ \@verbosefalse
+}
+\def\@p@@sprolog#1{\@prologfiletrue\def\@prologfileval{#1}}
+\def\@p@@spostlog#1{\@postlogfiletrue\def\@postlogfileval{#1}}
+\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{} \def\@p@sbbfile{}
+ \def\@p@scost{10}
+ \def\@sc{}
+ \@prologfilefalse
+ \@postlogfilefalse
+ \@clipfalse
+ \if@noisy
+ \@verbosetrue
+ \else
+ \@verbosefalse
+ \fi
+}
+%
+% Go through the options setting things up.
+%
+\def\parse@ps@parms#1{
+ \@psdo\@psfiga:=#1\do
+ {\expandafter\@setparms\@psfiga,}}
+%
+% Compute bb height and width
+%
+\newif\ifno@bb
+\def\bb@missing{
+ \if@verbose{
+ \ps@typeout{psfig: searching \@p@sbbfile \space for bounding box}
+ }\fi
+ \no@bbtrue
+ \epsf@getbb{\@p@sbbfile}
+ \ifno@bb \else \bb@cull\epsf@llx\epsf@lly\epsf@urx\epsf@ury\fi
+}
+\def\bb@cull#1#2#3#4{
+ \dimen100=#1 bp\edef\@p@sbbllx{\number\dimen100}
+ \dimen100=#2 bp\edef\@p@sbblly{\number\dimen100}
+ \dimen100=#3 bp\edef\@p@sbburx{\number\dimen100}
+ \dimen100=#4 bp\edef\@p@sbbury{\number\dimen100}
+ \no@bbfalse
+}
+% 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{
+ \no@bbfalse
+ \if@bbllx \else \no@bbtrue \fi
+ \if@bblly \else \no@bbtrue \fi
+ \if@bburx \else \no@bbtrue \fi
+ \if@bbury \else \no@bbtrue \fi
+ \ifno@bb \bb@missing \fi
+ \ifno@bb \ps@typeout{FATAL ERROR: no bb supplied or found}
+ \no-bb-error
+ \fi
+ %
+%\ps@typeout{BB: \@p@sbbllx, \@p@sbblly, \@p@sbburx, \@p@sbbury}
+%
+% 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}
+ %\ps@typeout{ psbbh = \ps@bbh, psbbw = \ps@bbw }
+ \if@angle
+ \Sine{\@p@sangle}\Cosine{\@p@sangle}
+ {\dimen100=\maxdimen\xdef\r@p@sbbllx{\number\dimen100}
+ \xdef\r@p@sbblly{\number\dimen100}
+ \xdef\r@p@sbburx{-\number\dimen100}
+ \xdef\r@p@sbbury{-\number\dimen100}}
+%
+% 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}
+%\ps@typeout{rotated BB: \r@p@sbbllx, \r@p@sbblly, \r@p@sbburx, \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}
+ %\ps@typeout{ bbh = \@bbh, bbw = \@bbw }
+}
+%
+% \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}
+ %\ps@typeout{ \@p@sheight * \@bbw / \@bbh, = \@result }
+ \edef\@p@swidth{\@result}
+ %\ps@typeout{w from h: width is \@p@swidth}
+}
+\def\compute@hfromw{
+ % computing : height = width * (bbh / bbw)
+ \in@hundreds{\@p@swidth}{\@bbh}{\@bbw}
+ %\ps@typeout{ \@p@swidth * \@bbh / \@bbw = \@result }
+ \edef\@p@sheight{\@result}
+ %\ps@typeout{h from w : height is \@p@sheight}
+}
+\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
+ %\ps@typeout{rheight = \@p@srheight, rwidth = \@p@srwidth}
+}
+%
+% Compute any missing values
+\def\compute@sizes{
+ \compute@bb
+ \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}
+%
+%
+%
+\def\OzTeXSpecials{
+ \special{empty.ps /@isp {true} def}
+ \special{empty.ps \@p@swidth \space \@p@sheight \space
+ \@p@sbbllx \space \@p@sbblly \space
+ \@p@sbburx \space \@p@sbbury \space
+ startTexFig \space }
+ \if@clip{
+ \if@verbose{
+ \ps@typeout{(clip)}
+ }\fi
+ \special{empty.ps doclip \space }
+ }\fi
+ \if@angle{
+ \if@verbose{
+ \ps@typeout{(rotate)}
+ }\fi
+ \special {empty.ps \@p@sangle \space rotate \space}
+ }\fi
+ \if@prologfile
+ \special{\@prologfileval \space } \fi
+ \if@decmpr{
+ \if@verbose{
+ \ps@typeout{psfig: Compression not available
+ in OzTeX version \space }
+ }\fi
+ }\else{
+ \if@verbose{
+ \ps@typeout{psfig: including \@p@sfile \space }
+ }\fi
+ \special{epsf=\@p@sfile \space }
+ }\fi
+ \if@postlogfile
+ \special{\@postlogfileval \space } \fi
+ \special{empty.ps /@isp {false} def}
+}
+\def\DvipsSpecials{
+ %
+ \special{ps::[begin] \@p@swidth \space \@p@sheight \space
+ \@p@sbbllx \space \@p@sbblly \space
+ \@p@sbburx \space \@p@sbbury \space
+ startTexFig \space }
+ \if@clip{
+ \if@verbose{
+ \ps@typeout{(clip)}
+ }\fi
+ \special{ps:: doclip \space }
+ }\fi
+ \if@angle
+ \if@verbose{
+ \ps@typeout{(clip)}
+ }\fi
+ \special {ps:: \@p@sangle \space rotate \space}
+ \fi
+ \if@prologfile
+ \special{ps: plotfile \@prologfileval \space } \fi
+ \if@decmpr{
+ \if@verbose{
+ \ps@typeout{psfig: including \@p@sfile.Z \space }
+ }\fi
+ \special{ps: plotfile "`zcat \@p@sfile.Z" \space }
+ }\else{
+ \if@verbose{
+ \ps@typeout{psfig: including \@p@sfile \space }
+ }\fi
+ \special{ps: plotfile \@p@sfile \space }
+ }\fi
+ \if@postlogfile
+ \special{ps: plotfile \@postlogfileval \space } \fi
+ \special{ps::[end] endTexFig \space }
+}
+%
+% \psfig
+% usage : \psfig{file=, height=, width=, bbllx=, bblly=, bburx=, bbury=,
+% rheight=, rwidth=, clip=}
+%
+% "clip=" is a switch and takes no value, but the `=' must be present.
+\def\psfig#1{\vbox {
+ % do a zero width hard space so that a single
+ % \psfig in a centering enviornment will behave nicely
+ %{\setbox0=\hbox{\ }\ \hskip-\wd0}
+ %
+ \ps@init@parms
+ \parse@ps@parms{#1}
+ \compute@sizes
+ %
+ \ifnum\@p@scost<\@psdraft{
+ \PsfigSpecials
+ % Create the vbox to reserve the space for the figure.
+ \vbox to \@p@srheight sp{
+ % 1/92 TJD Changed from "true sp" to "sp" for magnification.
+ \hbox to \@p@srwidth sp{
+ \hss
+ }
+ \vss
+ }
+ }\else{
+ % draft figure, just reserve the space and print the
+ % path name.
+ \if@draftbox{
+ % Verbose draft: print file name in box
+ % 10/93 TJD changed to fbox from frame
+ \hbox{\fbox{\vbox to \@p@srheight sp{
+ \vss
+ \hbox to \@p@srwidth sp{ \hss
+ % 10/93 TJD deleted to avoid ``_'' problems
+ % \@p@sfile
+ \hss }
+ \vss
+ }}}
+ }\else{
+ % Non-verbose draft
+ \vbox to \@p@srheight sp{
+ \vss
+ \hbox to \@p@srwidth sp{\hss}
+ \vss
+ }
+ }\fi
+
+
+
+ }\fi
+}}
+\psfigRestoreAt
+\setDriver
+\let\@=\LaTeXAtSign
+
+
+
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-22 22:10:46 +0000