<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Module:    ZzTeX Float Facilities
%
% Synopsis:  This module contains the float and caption blocks, as well as
%            all the code required to support the scheduling of floats.
%
% Notes:     The broadside capability was implemented by Richard A. Wells and
%            integrated into ZzTeX on 9/7/94.
%
% Author:    Richard A. Wells &amp; Paul C. Anagnostopoulos
% Created:   7 March 1990
%
% Copyright 1989--2020 by Paul C. Anagnostopoulos
% under The MIT License (opensource.org/licenses/MIT)
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%                       Data Structures
%                       ---- ----------


\definecount{\zfltcount}{0}
\def \zfloatfreeq {}
\def \zfloatpendq {}


\def \zdeffloat #1#2{%                          {\float}{\float-box}
  \definebox{#2}%
  \zfreefloat{#1}{#2}%
  \global\increment \zfltcount}

\def \zgetfloat #1{%                            {\float}
  \if \emptydefp{\zfloatfreeq}%
    \error{toomanyflt}
          {More than `\the\zfltcount' floats remain for page makeup}%
  \else
    \pop{#1}{\zfloatfreeq}%
  \fi}

\def \zfreefloat #1#2{%                         {\float}{\float-box}
  \gdef #1{\def \zcurfloatbox {#2}}%
  \append{#1}{\zfloatfreeq}}

\zdeffloat{\zflta}{\zfltboxa}
\zdeffloat{\zfltb}{\zfltboxb}
\zdeffloat{\zfltc}{\zfltboxc}
\zdeffloat{\zfltd}{\zfltboxd}
\zdeffloat{\zflte}{\zfltboxe}
\zdeffloat{\zfltf}{\zfltboxf}
\zdeffloat{\zfltg}{\zfltboxg}
\zdeffloat{\zflth}{\zfltboxh}
\zdeffloat{\zflti}{\zfltboxi}
\zdeffloat{\zfltj}{\zfltboxj}
\zdeffloat{\zfltk}{\zfltboxk}
\zdeffloat{\zfltl}{\zfltboxl}
\zdeffloat{\zfltm}{\zfltboxm}
\zdeffloat{\zfltn}{\zfltboxn}
\zdeffloat{\zflto}{\zfltboxo}
\zdeffloat{\zfltp}{\zfltboxp}
\zdeffloat{\zfltq}{\zfltboxq}
\zdeffloat{\zfltr}{\zfltboxr}
\zdeffloat{\zflts}{\zfltboxs}
\zdeffloat{\zfltt}{\zfltboxt}
\zdeffloat{\zfltu}{\zfltboxu}
\zdeffloat{\zfltv}{\zfltboxv}
\zdeffloat{\zfltw}{\zfltboxw}
\zdeffloat{\zfltx}{\zfltboxx}
\zdeffloat{\zflty}{\zfltboxy}
\zdeffloat{\zfltz}{\zfltboxz}

% There is an insert class for each of the two places where floats
% can go.  

\defineinsert{\ztopcolinsert}           % Floats at top of column.
\count\ztopcolinsert = 1000
\dimen\ztopcolinsert = \maxdimen
\skip\ztopcolinsert = 0pt
\defineinsert{\zbotcolinsert}           % Floats at bottom of column.
\count\zbotcolinsert = 1000
\dimen\zbotcolinsert = \maxdimen
\skip\zbotcolinsert = 0pt


% We need a dimension register to capture box depths.

\definedimen{\zfloatdp}{0pt}

%                       Float Types
%                       ----- -----


\setlist \zfloattypelist = {}


\def \definefloattype #1#2#3{%                  {type}{toc-level}{association}
  \if \emptyargp{#3}%
    \withname\definecount{\float#1number}{0}%
    \withname\declaresnapitem{\float#1number}%
  \else
    \edef \znext {%
      \global\withname\let{\float#1number}=\name{\float#3number}}%
    \znext
  \fi
  \withname\gdef{\zflt#1lvl}{#2}%
  \append{#1}{\zfloattypelist}}


\def \resetfloatnumbers {%
  \maplist{\global\name{\float##1number}=0\relax}{\zfloattypelist}}


% Predefined float types (don't forget an index locator for each one).

\definefloattype{algorithm}{101}{}
\definefloattype{figure}{102}{}
\definefloattype{table}{103}{}
\definefloattype{listing}{104}{}
\definefloattype{sidebar}{105}{}

%                       Float Block
%                       ----- -----


\defineblock{\float}{\endfloat}{\false}{}

%~block float Type
% \aboveskip = glue                     % Space b/b above float.
% \def \beginformat {...}               % Beginning of float formatter.
% \belowskip = glue                     % Space b/b below float.
% \def \comptextformat {...}            % Composite number text formatter.
% \continue = integer                   % Continued or continuation.
% \def \endformat {...}                 % End of float formatter.
% \leftindent = dimen                   % Horizontal fudge for all floats.
% \pageplacement = {...}                % Overriding page placement.
% \position = {...}                     % Position (see below).
% \runners = {style}                    % Runners for a page of floats.
% \topfloatfudge = dimen                % Vertical fudge for topmost float.
% \width = dimen                        % Explicit width for float.
%~end

\definetoks{\pageplacement}
\definedimen{\topfloatfudge}{0pt}

% These derived parameters are needed here and by \caption.  They may
% also be useful to the user.

\definecount{\floatpage}{0}
\definedimen{\floatshift}{0pt}
\definedimen{\floatwidth}{0pt}

\definecount{\zdivfltcounter}{0}        % Count floats in each division.
\definebox{\zfltbroadbox}


% Floats are packaged up in a vbox using \vtop, so that the float box
% has the same height as the first thing inside.  This improves the
% chances that a float at the top of a page will be positioned correctly.

\def \float #1{%                        {type}
  \if \undefinedp{\float#1number}%
    \error{undefflt}{Float type `#1' has not been defined}%
  \fi
  \endgraf
  \blockcantbein{\float}{\float}%
  \blockcantbein{\float}{\multicolumn}%
  \beginblockscope{float}%
  \global\increment \floatdepth
  \global\increment \zdivfltcounter
  \whichpage{\floatpage}{zF:\the\divisionname-\the\zdivfltcounter}%
  \def \beginformat {}%                         %~default soft
  \continue = 0                                 %~default with
  \def \comptextformat {}%                      %~default soft
  \setflag \continuation = \false               % Deprecated
  \def \endformat {}%                           %~default soft
  \leftindent = 0pt                             %~default soft
  \pageplacement = {}%                          %~default with
  \runners = {normal}%                          %~default soft
  \zoldrunners{\normalheader\normalfooter}%
  \width = \naturalwidth                        %~default soft
  \processdesign{\float}{#1}%
  \zsetcontinue                                 % Handle old \continuation.
  \if \notp{\continuationp}\global\withname\increment{\float#1number}\fi
  \global\withname\floatnumber{\float#1number}%
  \setcomptext{\floatcomptext}%
  \def \zcurflttype {#1}%
  \edef \zcurfltlvl {\name{\zflt\zcurflttype lvl}}%
  \parindent = 0pt
  \parrag = 0pt
  \parskip = 0pt
  \zparsefltpos{\the\position}%
  \if \notp{\emptytoksp{\pageplacement}}%
    \zparsefltpagepos{\the\pageplacement}%
  \fi
  \if \zfltposhere
    \penalty \breakallowed                      % Synchronize main list.
    \zparsefltpos{\the\position}%               % Recalculate global stuff.
    \if \notp{\emptytoksp{\pageplacement}}
      \zparsefltpagepos{\the\pageplacement}%
    \fi
  \fi
  \zcalcfltparams
  \zgetfloat{\zcurfloat}%
  \zcurfloat
  \global\setbox \zcurfloatbox = \vtop \bgroup
    \zpushvcontext
    \setindentation{0pt}{0pt}%
    \settextwidth{\floatwidth}%
    \settaginfo{\the\floatcomptext}{}%          % Set tag info without title.
    \setsubtagnumber{0}%
    \beginformat}

\def \endfloat {%
    \endgraf
    \endformat
    \global\zfloatdp = \prevdepth
    \tagpageonly{\uniquetag{zF}{\the\zdivfltcounter}}%
    \zpopvcontext
  \egroup % \vtop
  \expandafter\xdef \zcurfloat {%
    \def \noexpand\zcurfloatid {\zcurflttype\space \the\floatnumber}%
    \def \noexpand\zcurfloatbox {\zcurfloatbox}%
    \zfloatdp = \the\zfloatdp
    \aboveskip = \the\aboveskip
    \belowskip = \the\belowskip
    \leftindent = \the\leftindent
    \position = {\the\position}%
    \pageplacement = {\the\pageplacement}%
    \runners = {\the\runners}%
    \floatshift = \the\floatshift
    \topfloatfudge = \the\topfloatfudge}%
  \expandafter\append \zcurfloat{\zfloatpendq}%
  \zschedulefloats{\znext}{\false}{\false}%
  \if \gtrp{\znext}{99}%
    \zfltpage{\zpenfloatpage}%
  \fi
  \global\decrement \floatdepth
  \endblockscope{float}}

%~ This |\float| modifier forces an alone float.

\def \alonefloat {%                                     %^modifier
  \with{\pageplacement={\alone}}}

%~ This |\float| modifier forces a bottom float.

\def \bottomfloat {%                                    %^modifier
  \with{\pageplacement={\bottom}}}

%~ This |\float| modifier forces a broadside float.

\def \broadsidefloat {%                                 %^modifier
  \with{\pageplacement={\broadside}}}

%~ This |\float| modifier forces a here float.

\def \herefloat {%                                      %^modifier
  \with{\pageplacement={\here}}}

%~ This |\float| modifier forces a separate float.

\def \separatefloat {%                                  %^modifier
  \with{\pageplacement={\separate}}}

%~ This |\float| modifier allows the float to occupy the
%~ running head area. Any running head is deleted.

\def \userharea {%                                      %^modifier
  \with{\runners={blind}%
        \advance \topfloatfudge by -\headerheight}}

\def \adjusttopfloatfudge #1{%
  \global\advance \topfloatfudge by #1\relax}

\def \piggybackfloat {%
  \edef \znext {\noexpand\global\noexpand\increment
                  \name{\float\zcurflttype number}}%
  \znext
  \edef \znext {\floatnumber = \name{\float\zcurflttype number}}%
  \znext}

%                       Controlling Floats
%                       ----------- ------


% This macro is invoked at the beginning of each division.

\def \zfltdivinit {%
  \global\zdivfltcounter = 0\relax}


\setflag \zschedflts = \true

\def \deferfloats #1{%                                  {boolean}
  \global\setflag \zschedflts = {\notp{#1}}}


%                       Scheduling Tools
%                       ---------- -----


% These counters keep track of the number of floats scheduled for the
% current page.

\definecount{\ztopcolfloats}{0}         % Number of top column floats.
\definecount{\zbotcolfloats}{0}         % Number of bottom column floats.
\definecount{\zfloatsinserted}{0}       % Total number of floats.
\definetoks{\zfltrunners}               % Runners for first float on page.

% This macro initializes for handling floats on a new page.

\def \zfloatinit {%
  \global\setflag \zschedflts = \true
  \global\ztopcolfloats = 0
  \global\zbotcolfloats = 0
  \zfltrunners = {}}

% These macros simply hide some of the details to make the \zsched*
% macros easier to read.

\def \ztallytopfloat {%
  \if \orp{\notp{\zfltposmargonly}}{\posp{\ztopcolfloats}}%
    \global\increment \ztopcolfloats
  \fi}

\def \zforcenewpage{%
  \global\zfloatsinserted = 101\relax}

\let \zquitscheding = \exitmaplist

\def \zsetfloattall{%
  \zmakefloatalone
  \setflag \zfloattall = \true
  \tracepagemakeup{Float is too tall for column; positioning `alone'.}}

\def \zmakefloatalone{%
  \setflag \zfltposalone = \true
  \setflag \zfltposbottom = \false
  \setflag \zfltposhereonly = \false
  \setflag \zfltposhere = \false
  \setflag \zfltposseparate = \false
  \setflag \zfltpostop = \false}

\def \zmakefloattop{%
  \setflag \zfltposalone = \false
  \setflag \zfltposbottom = \false
  \setflag \zfltposhereonly = \false
  \setflag \zfltposhere = \false
  \setflag \zfltposseparate = \false
  \setflag \zfltpostop = \true}

%                       Float Scheduler
%                       ----- ---------


% return-count  is a counter passed in by the caller that we should
%               set at the end of \zschedulefloats to indicate how
%               many floats were emitted during this call.  A value
%               greater than 99 indicates that a new page should be
%               FORCED (e.g. for alone floats) by the output routine.
% during-output?  is a flag indicating that the caller is
%                 part of the output routine.
% flushing?       A flag indicating whether we are flushing floats.

\def \zschedulefloats #1#2#3{%      {return-count}{during-output?}{flushing?}
  \tracepagemakeup{[Scheduling \if #2floats during output%
                               \else float when encountered\fi.}%
  \tracepagemakeup{Page total: \the\pagetotal; goal: \the\pagegoal.}%
  % Reset our counter
  \global\zfloatsinserted = 0
  \if \zschedflts
    \if \emptydefp{\zfloatpendq}%
      \tracepagemakeup{There are no floats to be scheduled.}%
    \else
      \endgraf
      \zinitfloatfit{#2}%
      {\setflag \zschedfirstseparate = \true
       \setflag \zschedseparateloop = \false
       \maplist{\zschedone{#2}{#3}{##1}}{\zfloatpendq}}%
    \fi
  \else
    \tracepagemakeup{Floats are deferred now.}%
  \fi
  \tracepagemakeup{Float scheduling complete;
                   floats inserted: \the\zfloatsinserted.]}%
  \xdef #1{\the\zfloatsinserted}}


\def \zschedone #1#2#3{%                {during-output?}{flushing?}{\float}
  #3%
  \zparsefltpos{\the\position}%
  \if \notp{\emptytoksp{\pageplacement}}
    \zparsefltpagepos{\the\pageplacement}%
  \fi
  \if #2%                               % If flushing floats, force float
    \setflag \zfltposbottom = \false    % to a `separate'.
    \setflag \zfltpostop = \false
    \setflag \zfltposseparate = \true
  \fi
  \tracepagemakeup{Trying to schedule \zcurfloatid;
                   size: \the\ht\zcurfloatbox+\the\dp\zcurfloatbox.}%
  \if \orp{\andp{\zfltposeven}{\oddpagep}}%
          {\andp{\zfltposodd}{\evenpagep}}%
    \tracepagemakeup{Float is deferred until appropriate even/odd page.}%
    \zquitscheding
  \else
    \setflag \zfloatunsched = \true
    \setflag \zfloattall = \false
    % The following macros attempt, in order of priority, to schedule
    % the current float.  Each macro may set up state that causes
    % the subsequent macro(s) to do nothing.
    \zschedhereonly{#1}%
    \zschedhere{#1}%
    \zschedalone{#1}%
    \zschedbroadside{#1}%
    \zschedseparate{#1}%
    \zschedtop{#1}%
    \zschedbottom{#1}%
    \if \zfloattall % Schedule as `alone'.
      \zschedalone{#1}%
    \fi
    \if \zfloatunsched
      \tracepagemakeup{Float could not be scheduled.}%
      % This exits a \maplist call to \zschedone.
      \zquitscheding
    \else
      % Remove the current float from the queue...
      \pop{\zcurfloat}{\zfloatpendq}%
      % ...and free up the associated data structures.
      \expandaftertwice\zfreefloat \expandafter\zcurfloat\zcurfloatbox 
    \fi
  \fi}

%                       Fitting a Float
%                       ------- - -----


% These registers are used in float fitting.  They contain,
% respectively, the amount of vertical space used up by floats for
% the current page and the maximum space available for floats.

\definedimen{\zfloatpageused}{0pt}
\definedimen{\zfloatmaxavail}{0pt}


% Macro to initialize the above parameters (called in \zschedulefloats). 

\def\zinitfloatfit #1{%                         {during-output?}
  \if #1
    \zfloatpageused = 0pt
    % Effectively: zfloatmaxavail = (100-mintextpercent) * vsize
    \calculate \tcounta = {100,-,\mintextpercent}%
    \calculate \zfloatmaxavail = {\vsize,P,\tcounta}%
  \else
    % Effectively: zfloatpageused = max(pagetotal, vsize * mintextpercent)
    \calculate \zfloatpageused = {\vsize,P,\mintextpercent,X,\pagetotal}%
    \zfloatmaxavail = \pagegoal
  \fi}


% The spacing above and below a float is fairly complicated.
% In this table, h is the height of the float, d is the depth.
%
%   Position    Sequence     Above                  Below
%
%   \alone      only         \topskip - h +         none
%                              \topfloatfudge
%   \bottom     first        \aboveskip - h         none
%               rest         min(\aboveskip,        none
%                                \belowskip) - h
%
%   \separate   first        \topskip - h +         none
%                              \topfloatfudge
%               rest         min(\aboveskip,        none
%                                \belowskip) - h
%   \top        first        \topskip - h +         \belowskip - \topskip - d
%                              \topfloatfudge
%               rest         min(\aboveskip,        \belowskip - \topskip - d
%                                \belowskip) - h


% Here and broadside floats are handled differently, below in \zfitfloathere
% and \zfitfloatbroadside

\def \zfitfloat #1#2#3#4#5{%    {result-flag}{top?}{aboveskip-first}
                           %    {aboveskip-rest}{belowskip}
  {\if \zfltposmargonly
     \tcounta = 0               % Margin float should act as first one.
   \else
     \tcounta = \if #2\ztopcolfloats \else \zbotcolfloats \fi
   \fi
   \zskipa = \if \zerop{\tcounta}#3\else #4\fi
   \advance \zskipa by -\ht\zcurfloatbox
   \if \andp{#2}{\zerop{\tcounta}}\advance \zskipa by \topfloatfudge \fi 
   \tdimena = \zskipa
   \advance \tdimena by \ht\zcurfloatbox
   \advance \tdimena by \dp\zcurfloatbox
   \tdimenb = #5\advance \tdimena by \tdimenb
   \tdimenc = \zfloatpageused
   \if \notp{\zfltposmargonly}\advance \tdimenc by \tdimena \fi
   \tracepagemakeup{Requires: \the\tdimena;
                    available: \the\zfloatmaxavail;
                    used: \the\zfloatpageused.}%
   \if \dimlssp{\tdimenc}{\zfloatmaxavail}%
     \if \andp{\notp{#2}}{\zfltposmargonly}%
       \insert \zbotcolinsert {%
         \vbox to 0pt{%
           \vss
           \moveright \floatshift \box\zcurfloatbox
           \vskip -\dp\zcurfloatbox}}%
     \else
       \insert \if #2\ztopcolinsert \else \zbotcolinsert \fi {%
         \vskip \zskipa
         \moveright \floatshift \box\zcurfloatbox
         \nobreak
         \if \zfltposmargonly
           \vskip \tdimenb
           \nobreak
           \vskip -\tdimena
         \else
           \vskip #5\relax
         \fi}%
     \fi
     \if \emptytoksp{\zfltrunners}%
       \global\zfltrunners = \expandafter{\the\runners}%
     \fi
     \global\increment \zfloatsinserted
     \global\zfloatpageused = \tdimenc
     \global\setflag #1= \true
   \else
     \global\setflag #1= \false
   \fi}}

\def \zfitfloathere #1#2#3{%            {result-flag}{aboveskip}{belowskip}
  {\tdimena = #2\relax
   \advance \tdimena by \dp\zcurfloatbox
   \advance \tdimena by #3\relax
   \tracepagemakeup{Requires: \the\tdimena;
                    page total: \the\pagetotal;
                    page goal: \the\pagegoal.}%
   \advance \tdimena by \pagetotal
   \if \dimlssp{\tdimena}{\pagegoal}%
     \bbskipabove{\breaknever}{#2}%
     \fakepar
     \moveright \floatshift \box\zcurfloatbox
     \prevdepth = \zfloatdp
     \bbskipbelow{\breakallowed}{#3}%
     \global\increment \zfloatsinserted
     \global\setflag #1= \true
   \else
     \global\setflag #1= \false
   \fi}}

\def \zfitfloatbroadside {%
  {% We know there are no other floats on the the topcolumn when
   % this is called (by \zschedbroadside only) and we don't have to
   % worry about fixing up the vertical position at the end of the
   % page.
   %
   % Compute the space required
   %   Start with the topskip
   \tdimena = \topfloatfudge
   %   Add the *width* (since the box will be rotated)
   \advance \tdimena by \wd\zcurfloatbox
   \tracepagemakeup{Requires: \the\tdimena;
                    broadside floats always fit.}%
   \insert \ztopcolinsert {%
     % vskip the top float fudge
     \vskip \topfloatfudge
     % save the width for unskipping later
     \tdimenb = \wd\zcurfloatbox
     % vskip the *width* of the box to do the position translation
     % that we can't do with PostScript
     \vskip \tdimenb
     % Put our hbox in a vbox, so we can "lower" it rather than move
     % it right (since it will be rotated)
     \global\setbox\zfltbroadbox = \vbox{%
       \vskip\floatshift % replaces \moveright in other floats
       \box\zcurfloatbox}%
     \rotatebox{\zfltbroadbox}{90}%
     % Undo vertical skip so that insert doesn't cause additional page
     \vskip -\tdimenb}%
   \if \emptytoksp{\zfltrunners}%
     \global\zfltrunners = \expandafter{\the\runners}%
   \fi
   \global\increment \zfloatsinserted
   \global\zfloatpageused = \tdimena}}

%                       Individual Schedulers
%                       ---------- ----------


% This is a temporary register used in calls to \zfitfloat where the
% fit needs to take into account more than one skip value (such as
% both the \aboveskip and \belowskip).  In that case this dimen is
% used as a temp to hold the sum of the skip values.

\defineskip{\zfloatabove}{0pt}
\defineskip{\zfloatbelow}{0pt}
\definedimen{\zfloatextraskip}{0pt}


% This scheduler is called for floats with position `here' and no others.

\def\zschedhereonly #1{%                        {during-output?}
  \if \andp{\zfloatunsched}{\zfltposhereonly}%
    \tracepagemakeup{Float is to be positioned `here' only.}%
    \if \zschedseparateloop
      \tracepagemakeup{Making up a page of separates; quit.}%
      \zforcenewpage
      \zquitscheding
    \else
      \if #1% during output:
        \tracepagemakeup{Float moved to top of this page.}%
        \zmakefloattop
      \else % when encountered:
        \if \posp{\zbotcolfloats}%
          \error{hereonlybot}{Cannot position float `here'; already floats
                              at bottom.}%
        \else\if \dimzerop{\pagetotal}%
          \tracepagemakeup{Float at top of column: schedule as `top' float.}%
          \zmakefloattop
        \else
          \zfitfloathere{\zfloatfits}{\aboveskip}{\belowskip}%
          \if \zfloatfits
            \tracepagemakeup{Float inserted here.}%
            \setflag \zfloatunsched = \false
          \else
            \tracepagemakeup{Float does not fit here.}%
            \zforcenewpage
            \zquitscheding
          \fi
        \fi\fi
      \fi
    \fi
  \fi}


% This scheduler is called for floats with position `here' along with at
% least one other page position.

\def\zschedhere #1{%                            {during-output?}
  \if \andp{\zfloatunsched}{\zfltposhere}%
    \tracepagemakeup{Float can be positioned `here'.}%
    \if \zschedseparateloop
      \tracepagemakeup{Making up a page of separates; quit.}%
      \zforcenewpage
      \zquitscheding
    \else
      \if #1% during output:
        \relax
      \else % when encountered:
        \if \posp{\zbotcolfloats}%
          \tracepagemakeup{There are already floats positioned `bottom'.}%
        \else\if \dimzerop{\pagetotal}%
          \tracepagemakeup{Float at top of column: schedule as `top' float.}%
          \zmakefloattop
        \else
          \zfitfloathere{\zfloatfits}{\aboveskip}{\belowskip}%
          \if \zfloatfits
            \tracepagemakeup{Float inserted here.}%
            \setflag \zfloatunsched = \false
          \else
            \tracepagemakeup{Float does not fit here.}%
          \fi
        \fi\fi
      \fi
    \fi
  \fi}


\def \zschedalone #1{%                          {during-output?}
  \if \andp{\zfloatunsched}{\zfltposalone}%
    \tracepagemakeup{Float can be positioned `alone'.}%
    \if \zschedseparateloop
      \tracepagemakeup{Making up a page of separates; quit.}%
      \zforcenewpage
      \zquitscheding
    \else
      \if \orp{#1}{\dimzerop{\pagetotal}}%
        \if \firstcolumnp % building new page
          \if \zerop{\zfloatsinserted}% no floats on this page, yet
            \dp\zcurfloatbox = 0pt      % Make it fit.
            \zfitfloat{\zfloatfits}{\true}{\topskip}{999pt}{0pt}%
            \if \zfloatfits
              \ztallytopfloat
              \tracepagemakeup{Inserted on a page by itself.}%
              \zforcenewpage
              \setflag \zfloatunsched = \false
              \zquitscheding
            \fi
          \else % wait for next time
            \tracepagemakeup{Already floats in this column; quit.}%
            \zquitscheding
          \fi
        \else% still in the middle of a page
          \tracepagemakeup{Not in first column of page; quit.}%
          \zquitscheding
        \fi
      \else % As encountered, and page not empty.
        \tracepagemakeup{Must wait for new page; quit.}%
        \zquitscheding
      \fi
    \fi
  \fi}

\def \zschedbroadside #1{%                          {during-output?}
  \if \andp{\zfloatunsched}{\zfltposbroadside}%
    \tracepagemakeup{Float can be positioned `broadside'.}%
    \if \zschedseparateloop
      \tracepagemakeup{Making up a page of separates; quit.}%
      \zforcenewpage
      \zquitscheding
    \else
      \if \orp{#1}{\dimzerop{\pagetotal}}%
        \if \firstcolumnp % building new page
          \if \zerop{\zfloatsinserted}% no floats on this page, yet
            % Broadside floats "always" fit.  The output will have to be
            % inspected.
            \zfitfloatbroadside
            \ztallytopfloat
            \tracepagemakeup{Inserted on a page by itself.}%
            \zforcenewpage
            \setflag \zfloatunsched = \false
            \zquitscheding
          \else % wait for next time
            \tracepagemakeup{Already floats on this page; quit.}%
            \zquitscheding
          \fi
        \else% still in the middle of a page
          \tracepagemakeup{Not in first column of page; quit.}%
          \zquitscheding
        \fi
      \else % As encountered, and page not empty.
        \tracepagemakeup{Must wait for new page; quit.}%
        \zquitscheding
      \fi
    \fi
  \fi}


\def\zschedseparate #1{%                        {during-output?}
  \if \andp{\zfloatunsched}{\zfltposseparate}%
    \tracepagemakeup{Float can be positioned `separate'.}%
    % If a separate float is called when encountered, we don't do anything.
    \if #1% during output
      \if \firstcolumnp % building a new page
        \if \zschedfirstseparate
          \if \zerop{\zfloatsinserted}% no floats on this page, yet
            \zfloatmaxavail = \vsize % Entire page is available now.
            \zfitfloat{\zfloatfits}{\true}{\topskip}{999pt}{0pt}%
            \if \zfloatfits
              \ztallytopfloat
              \setflag \zfloatunsched = \false
              \zforcenewpage % This is a page of separates now.
              \tracepagemakeup{Inserted at the top of a new page.}%
              \setflag \zschedfirstseparate = \false
              \setflag \zschedseparateloop = \true
            \else
              \zsetfloattall
            \fi
          \else % wait for next time
            \tracepagemakeup{Page already has other floats on it.}%
            \zquitscheding
          \fi
        \else % Subsequent separates.
          \zfloatabove = \if \dimlssp{\aboveskip}{\belowskip}\aboveskip
                                                       \else \belowskip \fi
          \zfitfloat{\zfloatfits}{\true}{999pt}{\zfloatabove}{0pt}%
          \if \zfloatfits
            \ztallytopfloat
            \setflag \zfloatunsched = \false
            \tracepagemakeup{Inserted on a page with other separates.}%
          \else
            \zquitscheding
            \tracepagemakeup{Does not fit on this page; start new page.}%
          \fi
        \fi
      \else% still in the middle of a page
        \tracepagemakeup{Must wait for new page; quit;}%
        \zquitscheding
      \fi
    \else% when encountered
      \tracepagemakeup{Must wait for new page; quit.}%
      \zquitscheding
    \fi 
  \fi}


\def\zschedtop#1{%                      {during-output?}
  \if \andp{\andp{\zfloatunsched}{\zfltpostop}}
           {\orp{\notp{\zfltposfollow}}{#1}}%
    \tracepagemakeup{Float can be positioned `top'.}%
    \if \zschedseparateloop
      \tracepagemakeup{Making up a page of separates; quit.}%
      \zforcenewpage
      \zquitscheding
    \else
      \if \lssp{\ztopcolfloats}{\maxtopcolumnfloats}%
        \zfloatabove = \if \dimlssp{\aboveskip}{\belowskip}\aboveskip
                                                     \else \belowskip \fi
        \advance \zfloatabove by -\belowskip
        \advance \zfloatabove by \topskip
        \zfloatbelow = \belowskip
        \tdimena = \topskip
        \advance \zfloatbelow by -\tdimena
        \advance \zfloatbelow by -\zfloatdp
        \zfitfloat{\zfloatfits}{\true}{\topskip}{\zfloatabove}{\zfloatbelow}%
        \if \zfloatfits
          \ztallytopfloat
          \tracepagemakeup{Inserted at top of column.}%
          \setflag \zfloatunsched = \false
        \else
          \if \andp{#1}{\zerop{\zfloatsinserted}}\zsetfloattall \fi
        \fi
      \fi
    \fi
  \fi}

\def \zschedbottom#1{%                          {during-output?}
  \if \andp{\zfloatunsched}{\zfltposbottom}%
    \tracepagemakeup{Float can be positioned `bottom'.}%
    \if \zschedseparateloop
      \tracepagemakeup{Making up a page of separates; quit.}%
      \zforcenewpage
      \zquitscheding
    \else
      \if \lssp{\zbotcolfloats}{\maxbottomcolumnfloats}%
        \zfloatbelow = \if \dimlssp{\aboveskip}{\belowskip}\aboveskip
                                                     \else \belowskip \fi
        \zfitfloat{\zfloatfits}{\false}{\aboveskip}{\zfloatbelow}{0pt}%
        \if \zfloatfits
          \if \notp{\zfltpostopafterbot}%
            \global\ztopcolfloats = \maxtopcolumnfloats
          \fi
          \global\increment \zbotcolfloats
          \tracepagemakeup{Inserted at bottom of column.}%
          \setflag \zfloatunsched = \false
        \else
          \if \andp{#1}{\zerop{\zfloatsinserted}}\zsetfloattall \fi
        \fi
      \fi
    \fi
  \fi}

%                       Captions
%                       --------


\defineblock{\caption}{\endcaption}{\false}{}

%~block caption Type
% \aboveskip = glue             % Space b/b above caption.
% \setflag \allowintoc = flag   % Allow caption in ToC.
% \belowskip = glue             % Space b/b below caption.
% \captionfudge = dimen         % Fudge for \aboveskip.
% \def \comptextformat {...}    % (No longer used with captions.)
% \difficulty = integer         % Level of difficulty.
% \leftindent = glue            % Left indentation.
% \legendfont = {...}           % Font for optional legend.
% \def \legendformat ##1{...}   % Legend formatter.
% \numberfont = {...}           % Font for float number.
% \parindent = dimen            % Paragraph indent.
% \parrag = dimen               % Paragraph raggedness.
% \parskip = glue               % Paragraph skip.
% \position = {...}             % Position (see below).
% \rightindent = glue           % Right indentation.
% \style = {...}                % Heading style.
% \titlefont = {...}            % Font for caption title.
% \def \titleformat ##1{...}    % Title formatter.
% \width = dimen                % Width of caption text.
%~end

\definedimen{\captionfudge}{0pt}
\definetoks{\legendfont}

\definebox{\zcapbox}
\definedimen{\zcapshift}{0pt}

%~ This marker indicates that the following text is the legend or
%~ credit for the caption.

\definemarker{\legend}


\def \caption #1{%                              {title with optional \legend}
  \blockmustbein{\caption}{\float}%
  \blockcantbein{\caption}{\caption}%
  \beginblockscope{caption}%
  \global\increment \captiondepth
  \captionfudge = 0pt                           %~default with
  \def \comptextformat {}%                      %~default hard
  \style = {Initial cap/lowercase}%             %~default soft
  \difficulty = 0                               %~default with
  \processdesign{\caption}{\zcurflttype}%
  \global\increment \captionnumber
  \if \notp{\emptydefp{\comptextformat}}%
    \error{capcomptext}{The \string\comptextformat\space parameter is no
                        longer used in captions}
  \fi
  \captionformat #1\legend\zmark
  \if \andp{\allowintoc}{\notp{\continuationp}}\zcaptoc #1\legend\zmark \fi
  \endcaption
  \zcaptag #1\legend\zmark}%                    % Reset tag info with title.

\def \endcaption {%
  \global\decrement \captiondepth
  \endblockscope{caption}}

\def \captionformat #1\legend#2\zmark{%
  \the\numberfont
  \setbox\zcapbox = \vtop{%
    \zpushvcontext
    \setindentation{\leftindent}{\rightindent}%
    \settextwidth{\width}%
    \setparrag{\parrag}%
    \if \emptyargp{#2}%
      \titleformat{#1}%
    \else
      \let \legend = \relax           % So it won't interfere with formatting.
      \titleformat{#1\the\legendfont \legendformat{#2}}%
    \fi       
    \endgraf
    \global\zfloatdp = \prevdepth
    \zpopvcontext}%
  \zparsecappos{\the\position}%
  \zcalccapitems
  \bbskipabove{\breaknever}{\aboveskip}%
  \noindent \kern \zcapshift \box\zcapbox \par
  \prevdepth = \zfloatdp
  \bbskipbelow{\breaknever}{\belowskip}}

\def \zcaptoc #1\legend#2\zmark{%
  \tocentry{\the\floatcomptext}{#1}{\zcurfltlvl}}

\def \zcaptag #1\legend#2\zmark{%
  \settaginfo{\the\floatcomptext}{#1}}

%                       Position Handling
%                       -------- --------


% This macro sets up variables that specify the position of a float,
% according to the \position design parameter:
%
%   \alone              Place float on a page by itself.
%   \anypage            Place float on any page.
%   \any                (synonym for \anypage)
%   \bottom             Place float at the bottom of a page.
%   \broadside          Place float broadside (alone, rotated 90 degrees).
%   \evenpage           Place float on an even page.
%   \follow             Float must follow its position in the text.
%   \here               Place float exactly where it appears.
%   \ifevenpage         Use next position only on even page.
%   \ifoddpage          Use next position only on odd page.
%   \leftmargin         Shift float to left margin.
%   \margin             Same as \leftmargin.
%   \marginonly         Float fits in the margin and does not occupy any
%                         vertical space on the page.
%   \nofollow           Float need not follow its position in the text.
%   \oddpage            Place float on an odd page.
%   \outsidemargin      Shift float to outside margin.
%   \rightmargin        Shift float to right margin.
%   \separate           Place float on a page with floats only.
%   \textarea           Leave float at left edge of text area.
%   \text               (synonym for \textarea)
%   \top                Place float at the top of a page.
%   \topafterbottom     Okay to schedule \top float after \bottom.


\definecount{\zfltposshift}{0}


\def \zparsefltpos #1{%                                 {options...}
  {\zclearfltpagepos
   \global\setflag \zfltposmargonly = \false
   \global\zfltposshift = 0\relax
   \zsetupfltpageopts
   \def \ifevenpage   ##1{\if \evenp{\floatpage}##1\fi}%
   \def \ifoddpage    ##1{\if \oddp{\floatpage}##1\fi}%
   \def \leftmargin   {\global\zfltposshift=1\relax}%
   \let \margin       = \leftmargin
   \def \marginonly   {\global\setflag\zfltposmargonly=\true}%
   \def \outsidemargin{\ifevenpage{\leftmargin}\ifoddpage{\rightmargin}}%
   \def \rightmargin  {\global\zfltposshift=2\relax}%
   \def \textarea     {\global\zfltposshift=0\relax}%
   \let \text         = \textarea
   \global\floatpage = \floatpage
   #1%
   \global\setflag \zfltposhereonly = \zfltposhere
   \global\setflag \zfltposok = \zfltposhere
   \if \orp{\zfltposalone}
           {\orp{\zfltposbottom}
                {\orp{\zfltposbroadside}
                     {\orp{\zfltposseparate}
                          {\zfltpostop}}}}%
     \global\setflag \zfltposhereonly = \false
     \global\setflag \zfltposok = \true
   \fi
   \if \zfltposhereonly \setflag \zfltposhere = \false \fi
   \if \notp{\zfltposok}%
     \warning{nofloatpos}{No page position has been specified for a float}%
     \global\setflag \zfltposalone = \true
   \fi}}

\def \zparsefltpagepos #1{%                             {options...}
  {\zclearfltpagepos
   \zsetupfltpageopts
   #1%
   \global\setflag \zfltposhereonly = \zfltposhere
   \if \orp{\zfltposalone}
           {\orp{\zfltposbottom}{\orp{\zfltposseparate}{\zfltpostop}}}%
     \global\setflag \zfltposhereonly = \false
   \fi
   \if \zfltposhereonly \global\setflag \zfltposhere = \false \fi}}

\def \zclearfltpagepos {%
  \global\setflag \zfltposalone = \false
  \global\setflag \zfltposbottom = \false
  \global\setflag \zfltposbroadside = \false
  \global\setflag \zfltposeven = \false
  \global\setflag \zfltposfollow = \false
  \global\setflag \zfltposhere = \false
  \global\setflag \zfltposodd = \false
  \global\setflag \zfltposseparate = \false
  \global\setflag \zfltpostop = \false
  \global\setflag \zfltpostopafterbot = \false}

\def \zsetupfltpageopts {%
  \def \alone          {\global\setflag\zfltposalone=\true}%
  \def \anypage        {\global\setflag\zfltposeven=\false
                        \global\setflag\zfltposodd=\false}%
  \let \any            = \anypage
  \def \bottom         {\global\setflag\zfltposbottom=\true}%
  \def \broadside      {\global\setflag\zfltposbroadside=\true}%
  \def \evenpage       {\global\setflag\zfltposeven=\true}%
  \def \follow         {\global\setflag\zfltposfollow=\true}%
  \def \here           {\global\setflag\zfltposhere=\true}%
  \def \nofollow       {\global\setflag\zfltposfollow=\false}%
  \def \oddpage        {\global\setflag\zfltposodd=\true}%
  \def \separate       {\global\setflag\zfltposseparate=\true}%
  \def \top            {\global\setflag\zfltpostop=\true}%
  \def \topafterbottom {\global\setflag\zfltpostopafterbot=\true}}

\def \zcalcfltparams {%
  \floatshift = 0pt\relax
  % Set \floatshift
  \ifcase \zfltposshift
    \relax
  \or
    \floatshift = \if \evenp{\floatpage}-\evenlefttextmargin
                                  \else -\oddlefttextmargin \fi \relax
  \or
    \floatshift = \textmeasure
  \else
    \zzerror{Invalid value for float `\string\zfltposshift'}%
  \fi
  \advance \floatshift by \leftindent

  % Set \floatwidth.  Default of \naturalwidth is handled differently
  % for broadsides than for non-broadsides.  If \width not default, use
  % it without modification.

  \if \dimeqlp{\width}{\naturalwidth}%
    \if \zfltposbroadside
      \floatwidth = \textareaheight \relax
    \else
      \floatwidth = \textmeasure \relax
      \ifcase \zfltposshift
        \relax
      \or
        \advance \floatwidth by -\floatshift
      \or
        \floatwidth = \if \evenp{\floatpage}\evenrighttextmargin
                                      \else \oddrighttextmargin \fi \relax
      \else
        \zzerror{Invalid value for float `\string\zfltposshift'}%
      \fi
    \fi
  \else
    \floatwidth = \width \relax
  \fi}


% This macro sets up variables that specify the position of a caption,
% according to the \position design parameter:
%
%   \above              Caption is placed above the figure.
%   \below              Caption is placed below the figure.
%   \follow             Caption follows left edge of float.
%   \ifevenpage         Use next position only on even page.
%   \ifoddpage          Use next position only on odd page.
%   \leftmargin         Force caption in left margin.
%   \margin             Same as \leftmargin
%   \outsidemargin      Shift caption to outside margin.
%   \rightmargin        Force caption in right margin.
%   \rise               Caption rises up from bottom of figure.
%   \separate           Caption is separate from figure.
%   \sink               Caption sinks down from top of figure.
%   \textarea           Force caption at left edge of text area.
%   \text               (synonym for \textarea)
%   \textarearight      Force caption at right edge of text area.
%   \textright          (synonym for \textarearight)


\definecount{\zcapposshift}{0}
\definecount{\zcapposvflow}{0}

\def \zparsecappos #1{%                                 {options...}
  {\global\setflag \zcapposabove = \true
   \global\zcapposvflow = 0\relax
   \global\zcapposshift = 0\relax
   \def \above           {\global\setflag\zcapposabove=\true}%
   \def \below           {\global\setflag\zcapposabove=\false}%
   \def \follow          {\global\zcapposshift=4\relax}%
   \def \ifevenpage      ##1{\if \evenp{\floatpage}##1\fi}%
   \def \ifoddpage       ##1{\if \oddp{\floatpage}##1\fi}%
   \def \leftmargin      {\global\zcapposshift=1\relax}%
   \let \margin          = \leftmargin
   \def \outsidemargin   {\ifevenpage{\leftmargin}\ifoddpage{\rightmargin}}%
   \def \rightmargin     {\global\zcapposshift=2\relax}%
   \def \rise            {\global\zcapposvflow=1\relax}%
   \def \separate        {\global\zcapposvflow=0\relax}%
   \def \sink            {\global\zcapposvflow=2\relax}%
   \def \textarea        {\global\zcapposshift=0\relax}%
   \let \text            = \textarea
   \def \textarearight   {\global\zcapposshift=3\relax}%
   \let \textright       = \textarearight
   #1}}

\def \zcalccapitems {%
  \ifcase \zcapposshift
    \zcapshift = 0pt
  \or
    \zcapshift = \if \evenp{\floatpage}-\evenlefttextmargin
                                 \else -\oddlefttextmargin \fi \relax
  \or
    \zcapshift = \textmeasure
  \or
    \zcapshift = \textmeasure
    \advance \zcapshift by -\wd\zcapbox
  \or
    \zcapshift = \floatshift
  \else
    \zzerror{Invalid value for caption `\string\zcapposshift'}%
  \fi
  \advance \zcapshift by -\floatshift
  % Captions in broadsides *always* follow, i.e. \zcapshift is 0pt
  \if \zfltposbroadside
    \zcapshift = 0pt\relax
  \fi
  \ifcase \zcapposvflow
    \relax
  \or
    \forcenextbbskip
    \aboveskip = -\dp\zcapbox
    \advance \aboveskip by \zfloatdp
    \advance \aboveskip by \captionfudge
  \or
    \advance \belowskip by -\dp\zcapbox
    \advance \belowskip by -\captionfudge
  \else
    \zzerror{Invalid value for caption `\string\zcapposvflow'}%
  \fi}
</pre></body></html>