% S H A P E P A R . S T Y
%
% Typeset paragraphs in various shapes.
%
% Version 2.0  (Dec 2002)
%
% Copyright (c) 1993,2002    Donald Arseneau
% These definitions may be freely transmitted, reproduced, or modified
% provided that any modifications are clearly identified and this notice
% is left intact.
%
% \shapepar: a macro to typeset paragraphs in a specific shape. The
% size is adjusted automatically so that the entire shape is filled
% with text. There can be no displayed math, and no "\vadjust"
% material (no "\vspace").  These macros work for both LaTeX and Plain
% TeX.  For LaTeX, specify \usepackage{shapepar}, or for Plain,
% \input shapepar.sty .  Configuration parameters are set just
% below here.  Instructions for use are given in the LaTeX document 
% shapepar.tex; a short summary is given after \endinput below.
%
% ToDo:  
% Vertical correction for character height applied to shape.
% Shape-based bounding box and reference point for exact placement
% Allow multiple paragraphs and displayed math in shape
% Typeset shape text directly when fixed scale (or even always) (register conflicts)
% Allow text overflow from fixed scale shapes (for magazine style)
% More assertive \cutout processing
% 
%---------------------
% make file load whatever status of @ (hold codes in \squarepar temporarily)
\edef\squarepar
  {\catcode\string `\string @ \the\catcode `\@
   \catcode\string `\string $ \the\catcode `$
   \catcode\string `\string * \the\catcode `\*
   \catcode\string `\string ^ \the\catcode `\^}
\catcode\string`\@=11  \catcode\string`\$=11
\catcode\string`\^=14  \catcode\string`\*=10

% ------ Configuration parameters ------

% horizontal separation between shaped par and cut-out text
\newskip\cutoutsep
\cutoutsep=12pt

% smallest gap allowed; smaller will be eliminated
\def\SmallestGap{.4em}

% small gap; smaller will be enlarged
\def\SmallGap{1em}

% smallest segment allowed; smaller will be omitted
\def\SmallestSegment{.2em}

% How many times will \shapepar try to get the size of the paragraph?
\chardef\ScaleMaxTries=9

% fineness of cutout matching to lines (number of reference points
% per line of text)
\chardef\RefineBaselines=3

% Vertical extension of cutout gap (fraction of \baselineskip)
\def\cutoutsepstretch{.5}

% --------------------------------------
\ifx\DeclareOption\undefined\else

 \ProvidesPackage{shapepar}[2002/12/30 v 2.0, Shaped paragraphs]
 \DeclareOption{quiet}{\catcode`\*=14}
 \DeclareOption{noisy}{\catcode`\^=10}
 \ProcessOptions

\fi
% --------------------------------------

% Define variables.  Use LaTeX names for some, and use aliases to
% LaTeX allocations and TeX parameters for many others.
% In the future, the descriptive names may disappear altogether.

\newdimen\SH@scale
\mathchardef\@dxii=512

\def\@empty{}
\long\def\@gobble#1{}
\ifx\@tempdima\undefined \csname newdimen\endcsname \@tempdima \fi
\ifx\@tempdimb\undefined \csname newdimen\endcsname \@tempdimb \fi
\ifx\@tempcnta\undefined \csname newcount\endcsname \@tempcnta \fi
\ifx\@tempcntb\undefined \csname newcount\endcsname \@tempcntb \fi
\ifx\@tempboxa\undefined \csname newbox\endcsname \@tempboxa \fi

\def\@tempa#1#2#3{%  {"count"|"dimen"|"box"|"skip"}{\myname}{\realname}
  \ifx\undefined#3\csname new#1\endcsname#2% allocate new one
  \else\let#2#3\fi % alias is defined, so use it
 }

\@tempa{box}\SH@boxa\rootbox
\newbox\SH@boxb                   % global
\@tempa{count}\SH@ntries\@cla     % global
\@tempa{dimen}\spec@bot\p@renwd
\@tempa{dimen}\spec@top\jot
\@tempa{dimen}\spec@height\@wholewidth
\@tempa{dimen}\spec@incr\@halfwidth
\@tempa{dimen}\spec@position\@picht
\@tempa{dimen}\spec@nextpos\@ovxx
\@tempa{dimen}\spec@prevpos\@ovyy
\@tempa{dimen}\spec@hcenter\@xdim
\@tempa{dimen}\SH@refbase\@ydim
\@tempa{dimen}\SH@dscale\dimen@i   % global
\@tempa{dimen}\SH@tottext\@toproom % global
\@tempa{dimen}\SH@posseg\@ovro
\@tempa{dimen}\SH@widseg\@ovri
\@tempa{dimen}\SH@posold\@ovdx
\@tempa{dimen}\SH@widold\@ovdy
\@tempa{dimen}\SH@weight\@dashdim
\@tempa{count}\SH@npslines\interdisplaylinepenalty
\@tempa{count}\SH@nline\@savsf
\@tempa{count}\SH@lowline\delimiterfactor
\@tempa{count}\SH@highline\doublehyphendemerits

\let\SH@margin\@empty
\let\SH@xoff\z@
\let\SH@yoff\z@

% ------- Begin main definitions -------

\def\cutout#1#2{%  #1 = r|l  #2 = (  or something else
  \par \endgraf
  \lowercase{\def\SH@margin{#1}}%
  \def\@tempa{#2}\def\@tempb{(}%
  \ifx\@tempa\@tempb \let\@tempb\SH@cutopt
  \else \def\@tempb{\SH@cutopt \z@,\z@)#2}%
  \fi \@tempb
}

\def\SH@cutopt #1,#2){% #1 = x-offset, #2 = y-offset
  \def\SH@xoff{#1}\def\SH@yoff{#2}%
  \edef\SH@cutoutbase{\the\baselineskip}%
  \ifx\SH@margin\@empty\else
     \def\@tempa{l}\ifx\SH@margin\@tempa\else \def\@tempa{r}\fi
     \ifx\SH@margin\@tempa\else
      \errhelp{The \string\cutout\space is ignored; the \string\shapepar\space
         will continue. }\errmessage{Shaped Paragraph Error:
         Cutout side \string"\SH@margin\string" not valid; should be l or r.}%
      \let\SH@margin\@empty
  \fi\fi
  \ifx\SH@margin\@empty\else \begingroup \fi
}

\def\Shapepar{\ifx\SH@margin\@empty \let\SH@usebox\box \fi \shapepar}
\let\SH@usebox\unvbox

\def\shapepar#1{\relax % #1 = shape specification or "["
  \begingroup
  \ifx\SH@margin\@empty \let\SH@xoff\z@ \let\SH@yoff\z@ \fi
  \if [\noexpand#1\relax \expandafter\SH@scaledshape
  \else \SH@scale\z@ \SH@start{#1}\fi
}

\def\SH@scaledshape #1]{\SH@scale #1\relax \SH@start}

\def\SH@start#1{% #1 = shape specification.  May be a macro.
  \edef\SH@restog{\global\SH@ntries\the\SH@ntries
   \global\SH@dscale\the\SH@dscale \global\SH@tottext\the\SH@tottext}%
  \ifx\SH@usebox\box\else \par \endgraf \fi
  \xdef\SH@pd{\ifvmode \the\prevdepth \else \z@ \fi}%
  \let\\\relax \xdef\SH@spec{#1}%
  \expandafter\SH@checkspec\SH@spec $%  check spec. $
  \hyphenpenalty10 \exhyphenpenalty10 % optimise
  \doublehyphendemerits10 \adjdemerits10
  \hfuzz\maxdimen
  \setbox\SH@boxa\vbox\bgroup % set whole text on one line
   \parindent\z@ \leftskip\z@skip % \rightskip set below
   % \spaceskip .333333emplus.8emminus.15em % optimise stretch
   \parfillskip\z@ plus\@ne fil
   \begingroup
    \linepenalty\@m
    \def\\{\unskip\penalty-200 \hskip1em plus\@m\p@ \penalty-60 }%
    \let\par\SH@endpar \hsize\maxdimen \rightskip\spaceskip
    \pretolerance\m@ne \hyphenpenalty 9000 % make discretionaries
    \ifx\textwidth\undefined\else \textwidth\hsize
      \linewidth\hsize \columnwidth\hsize \fi
    \def\vadjust{{\def\SH@dm{special vertical material}\the\everydisplay}}%
    \everydisplay{\errhelp{Press RETURN, and hope.}\errmessage
     {Shaped Paragraph Error: \SH@dm\space is illegal in a shaped paragraph}}%
    \noindent \penalty\@M \hskip\z@skip % allow hyphenation of first word
    \ignorespaces}

\def\SH@dm{display-math}

\def\SH@endpar{% Insert filler for fixed-scale paragraphs
    \ifdim\SH@scale>\z@ \def~{\hfil\null\hfil\null\hfil\null\hfil\null}%
      ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\fi
    \xdef\SH@baseset{\noexpand\baselineskip\the\baselineskip \relax}%
    \endgraf \endgroup % still inside \vbox and \begingroup
   \SH@baseset
   \global\SH@dscale\z@
%  get tottext = total length / 256 because total length may be > \maxdimen
   \setbox\@tempboxa\box\voidb@x \global\SH@tottext\z@
   \SH@sumlines % combine multiple lines -> \@tempboxa; width/256 ->\SH@tottext
^  \message{total length = 256 times \the\SH@tottext;
^  \string\baselineskip=\the\baselineskip;
^  and spec height = \Pointless\spec@height. }%
   \unskip\unkern\unpenalty\unskip\unkern\unpenalty
   \setbox\SH@boxa\box\@tempboxa % all the text
   \ifdim\SH@scale>\z@ % for specified fixed scale: only format once
     \global\SH@ntries\ScaleMaxTries
   \else % Automatic scaling.  Get a first-guess scale
     % Get 1/256 of total segment length into \@tempdima
     \@tempdima\z@ \spec@prevpos\z@
^    {\let\\relax\message{Measure area of spec: \SH@spec}}%
     \expandafter\SH@measline\SH@spec \\\delimiter
^    \message{Spec area/256 = \Pointless\@tempdima}%
%    scale = 1.02 * sqrt( [text_length/256]*\baselineskip / [spec_area/256] )
     \SH@scale \Pointless\SH@tottext\baselineskip
     \fpdivide\SH@scale\@tempdima
     \sqrtofdim\SH@scale
     \SH@scale 1.0\SH@scale % optimize
^    \message{Initial scale = \the\SH@scale}%
     \global\SH@ntries\z@ % will count maximum \ScaleMaxTries trial scales
   \fi
   \SH@parpars \SH@tryparshape}

% Measure the area covered by segments in the shape spec.  Accumulate
% as length \@tempdima

\def\SH@measline#1#2\\#3{% #1 = this pos, #2 = segments, #3 = next pos
   \ifx\delimiter#3\expandafter\@gobble\else
      % Vertical space multiplier -> tempdimb -> \@tempa (temporarily)
      \@tempdimb #3\p@ \advance\@tempdimb-\spec@prevpos \divide\@tempdimb\@dxii
      \edef\@tempa{\Pointless\@tempdimb}%
      \SH@measseg #2t\fam\fam
      \spec@prevpos#1\p@
      \expandafter\SH@measline
   \fi {#3}}

\def\SH@measseg#1t#2#3{%
   \ifx \fam #3\else
     \@tempdimb #3\p@
     \advance\@tempdima\@tempa\@tempdimb
     \expandafter\SH@measseg
   \fi}

% \SH@tryparshape: try a parshape with scale factor \SH@scale for \SH@spec
% For a given scale, it would take x lines of text to cover the shape,
% but only an integer number of lines (counted by \SH@nline) will be
% used.  The excess is evenly distributed at the top and bottom to preserve
% the symmetry of shapes.  The starting point is thus:
%
% spec_top + 1/2 * { spec_height - floor[ (spec_height-delta)/incr ]*incr }
%

\def\SH@tryparshape{%
  \advance\SH@scale\SH@dscale % shift scale factor by delta
^ \message{------------------------------------------------------------------------}%
* \message{(\the\SH@ntries) Try shape with scale \the\SH@scale. \space
*    (Delta = \Pointless\SH@dscale). \space }%
  \spec@incr\baselineskip \fpdivide\spec@incr\SH@scale
  \spec@position\spec@height \advance\spec@position-.3\spec@incr % height-delta
  \SH@nline\spec@position \divide\SH@nline\spec@incr % number of lines
  \spec@position-\SH@nline\spec@incr % - height of n lines
  \advance\spec@position\spec@height % difference from desired height
  \divide\spec@position\tw@ % half the excess
  \advance\spec@position\spec@top % starting position
  \xdef\spec@firstposition{\the\spec@position}%
  \SH@widold-\maxdimen
  \SH@makeparshape}

\def\SH@makeparshape{%
  \advance\spec@position-\spec@incr % pre-decrement
  \SH@nline\z@ % initialize counter for lines
  \spec@prevpos \spec@top % -\maxdimen% \spec@position
  \let\SH@Prevspec\@empty
  \let\@elt\relax % simply accumulate lines (reverse order)
  \gdef\SH@parshape{}\gdef\SH@lines{}\SH@npslines\z@
% \message{Parsing spec, starting at \Pointless\spec@position. }%
  \expandafter \SH@doaline \SH@spec \\\delimiter $\\$}
% this macro ends instead of continuing with \SH@done so TeX will use
% tail-recursion as \SH@tryparshape is iterated.
  
\def\SH@doaline{\SH@updps \SH@widold-\maxdimen
  \advance\SH@nline\@ne \advance\spec@position\spec@incr
  \let\\\SH@findpos \\}

% Get spec lines appropriate for given position (\spec@position):
% \SH@prevspec,\spec@prevpos for spec line above
% \SH@nextspec,\spec@nextpos for spec line below
% (lines may contain several segments)
%
\def\SH@findpos#1#2\\{%  #1 = spec line vert position, #2 = segments
  \ifx\delimiter#1\let\\\SH@dopara
  \else
     \ifdim#1\p@<\spec@prevpos \SH@backup{#1}\fi % handle backspace
     \ifdim#1\p@>\spec@position
        \def\SH@nextspec{#2{}}\spec@nextpos#1\p@ \def\\{\SH@found{#1}#2\\}%
        \expandafter\def\expandafter\SH@prevspec\expandafter{\SH@Prevspec}%
     \else
        \def\SH@Prevspec{#2{}}\spec@prevpos#1\p@
  \fi\fi \\}

\def\SH@found{% calculate weights to interpolate
%  \message{ -- \number\SH@nline\space-- SH@found \the\spec@position\space 
%      between \the\spec@prevpos\space and \the\spec@nextpos. }%
  \ifdim\spec@position<\spec@prevpos
    \let\SH@next\SH@doaline
  \else
    \SH@weight\spec@position \advance\SH@weight-\spec@prevpos
    \@tempdimb\spec@nextpos  \advance\@tempdimb-\spec@prevpos
    \fpdivide\SH@weight\@tempdimb % weight = interpolation factor
    \let\SH@next\SH@dosegment
  \fi  
  \SH@next}

\def\SH@backup#1{%\tracingall
%  \message{Backup for #1 after \Pointless\spec@prevpos, seeking \Pointless\spec@position. }%
  \ifdim#1\p@<\spec@position
     \advance\SH@nline\m@ne 
     \advance\spec@position-\spec@incr 
     \advance\spec@prevpos-\spec@incr
     \SH@backup{#1}%
  \fi}

% Get the position and width of a segment of text by taking the weighted
% average of the specifications from above and below (weighted by nearness).
% We iterate \SH@dosegment while it handles the segments
% Most of the confusing bits here are hueristics to deal with narrow gaps.
% If a gap between two texts is less than a space, the texts are joined
% over the gap.  If the gap is less than 1em, the gap is increased to the
% average of 1em and the given gap.

\def\SH@dosegment{% do a segment of text on this line
  \SH@posseg\z@ \SH@widseg\z@
  \advance\SH@weight-\p@ \SH@weight-\SH@weight % w1 = 1 - w2
  \SH@getseg A\SH@prevspec % Above
  \advance\SH@weight-\p@ \SH@weight-\SH@weight % w2 = 1 - w1
  \SH@getseg B\SH@nextspec % Below
  \ifdim\SH@widseg>10sp
     \SH@widseg\Pointless\SH@scale\SH@widseg
     \advance\SH@posseg-\spec@hcenter
     \SH@posseg\Pointless\SH@scale\SH@posseg
     \advance\SH@posseg.5\hsize
%    Here are the small-gap heuristics.  \@tempdima is the gap and the shift
     \ifdim\SH@widold>10sp
        \@tempdima\SH@posseg
        \advance\@tempdima-\SH@posold \advance\@tempdima-\SH@widold %gap
        \ifdim\@tempdima<\SmallestGap % gap too small; eliminate
^          \message{Gap is \the\@tempdima--eliminate. }%
           \advance\SH@widold\@tempdimb \advance\SH@widold\SH@widseg % no update
        \else
           \ifdim\@tempdima<\SmallGap % gap small; enlarge it if text not too small
              \ifdim\SH@widold>\SmallGap \ifdim\SH@widseg>\SmallGap
^                   \message{Gap is \the\@tempdima--enlarge}%
                    \@tempdima-.25\@tempdima \advance\@tempdima.25em
^                   \message{by 2 x \the\@tempdima. }%
                    \advance\SH@widold-\@tempdima
                    \advance\SH@widseg-\@tempdima
                    \advance\SH@posseg \@tempdima
           \fi\fi\fi
           \SH@updps
        \fi
     \else % no previous, so no update.  Just hold.
        \SH@widold\SH@widseg \SH@posold\SH@posseg
  \fi\fi
  \ifx\SH@prevspec\@empty \let\SH@next\SH@doaline \fi
  \ifx\SH@nextspec\@empty \let\SH@next\SH@doaline \fi
  \SH@next}

\def\SH@updps{% Update parshape with `new' info
^\message{Segment \Pointless\SH@posold, \Pointless\SH@widold}%
\ifdim\SH@widold>\SmallestSegment
* \message{.}%
  \xdef\SH@parshape{\SH@parshape\the\SH@posold\the\SH@widold\space}%
  \xdef\SH@lines{\@elt{\the\SH@nline}{\the\SH@posold}{\the\SH@widold}\SH@lines}%
  \advance\SH@npslines\@ne
\fi \SH@widold\SH@widseg \SH@posold\SH@posseg}
   
\def\SH@getseg#1#2{% A/B, spec
  \ifx#2\@empty \SH@sperror \fi
  \expandafter \SH@GetseG #2$#1#2}

\def\SH@GetseG#1#2$#3#4{% command, rest of spec, $, A/B, spec
   \expandafter \ifx\csname spec#3$#1\endcsname \relax 
     \SH@sperror
   \else
     \csname spec#3$#1\endcsname #2$#4%
   \fi}

% b{pos}         begin text at a point at horizontal position pos.
% e{pos}         end text at a point at horizontal position pos.
% t{pos}{len}    make a block of text at position pos with length len
% s              split text (begin whitespace)
% j              join two text blocks (end a gap)

% Behavior of specs Above:
\def\specA$b#1{\specA$t{#1}{0}}%  b(pos) -> t(pos)(0)
\def\specA$e#1#2{\csname specA$#2\endcsname}%  e(pos) ignore
\def\specA$s#1{\csname specA$#1\endcsname}%  s ignore % should never happen
\def\specA$t#1{\advance\SH@posseg#1\SH@weight \@spec$t jt{#1}}

% Behavior of specs Below:
\def\specB$e#1{\specB$t{#1}{0}}
\def\specB$b#1#2{\csname specB$#2\endcsname}
\def\specB$j#1{\csname specB$#1\endcsname}
\def\specB$t#1{\advance\SH@posseg#1\SH@weight \@spec$t st{#1}}

\def\@spec$t#1#2#3#4#5{% j|s  t  pos  wid  next
      \if t#2\else \SH@sperror \fi
      \advance\SH@widseg#4\SH@weight
      \if#1#5\relax % next is s (below) or j (above): unite two t
        \let\@tempa\@spec$t \else \let\@tempa\SH@redefine \fi
      \@tempa #5}

\def\SH@redefine#1$#2{\def#2{#1}}
\let\specA$\SH@redefine % bug fix to allow disjoint pieces
\let\specB$\SH@redefine

\def\SH@dopara#1${%  eat remaining spec and test parshape $
\global\setbox\SH@boxb\vbox{%
  \advance\SH@npslines\@ne
  \parshape\the\SH@npslines\space \SH@parshape \z@ \maxdimen
  \advance\SH@npslines\m@ne
* \message{Formatting. }%
  \noindent \unhcopy\SH@boxa \endgraf
* \message{Expected \the\SH@npslines\space lines;
*    got \the\prevgraf\space lines}%
  \ifnum\prevgraf=\SH@npslines % maybe right size; check last line
     \ifdim\SH@widseg>\z@ % yes, we can check
        \ifnum\SH@ntries<\ScaleMaxTries % safe to screw around with \SH@npslines
           \SH@grablast \@tempdima\wd\SH@boxa \advance\@tempdima 20\p@
           \ifdim\@tempdima<.8\SH@widseg % final line underfull % optimise
*             \message{but the last line is too empty. }%
              \advance\SH@npslines\@ne % flag underfullness
  \fi\fi\fi\fi
  \ifnum\prevgraf=\SH@npslines % right size, done
     \aftergroup\SH@done \global\SH@dscale\z@
  \else % Try a new scale factor
     \ifdim\SH@dscale=\z@ % no previous step.  Try to guess a good one
        \ifnum\prevgraf<\SH@npslines % underfull
^          \message{First underfull. }%
           \@tempdima\prevgraf\p@ 
           \divide\@tempdima\SH@npslines
        \else % overfull
^          \message{First overfull. }%
           \SH@grablast 
           \@tempdimb-\wd\SH@boxa \advance\@tempdimb-20\p@
           \divide\@tempdimb\@cclvi
           \@tempdima\SH@tottext \advance\@tempdimb\@tempdima
           \fpdivide\@tempdima\@tempdimb 
^          \message{overfullness: \the\wd\SH@boxa; ratio: \Pointless\@tempdima}%
        \fi
        \sqrtofdim\@tempdima
        \advance\@tempdima-\p@
        \divide\@tempdima\tw@
        \global\SH@dscale\Pointless\@tempdima\SH@scale
        \gdef\SH@fac{1}% % optimise
     \else % Not first step, scale from previous
        \ifnum\prevgraf>\SH@npslines % overflow now
           \ifdim\SH@dscale>\z@  % previous Overflow
              \global\SH@dscale \SH@fac\SH@dscale
           \else % overflow now, but previous underflow
              \gdef\SH@fac{.53}% % optimise
              \global\SH@dscale -\SH@fac\SH@dscale
           \fi
        \else  % underflow now
           \ifdim\SH@dscale>\z@  % previous Overflow
              \gdef\SH@fac{.54}% % optimise
              \global\SH@dscale -\SH@fac\SH@dscale
           \else % overflow now, but previous underflow
              \global\SH@dscale \SH@fac\SH@dscale
           \fi
        \fi 
     \fi
     \ifdim-\SH@dscale>.6\SH@scale
          \global\SH@dscale -.6\SH@scale  % avoid scale --> 0 !
     \fi
     \global\advance\SH@ntries\@ne
     \ifdim\AbsVal\SH@dscale <.005\p@ \global\SH@ntries\@cclv \fi
     \ifnum \SH@ntries>\ScaleMaxTries \aftergroup\SH@done
     \else \aftergroup\SH@tryparshape
  \fi\fi
}}% end \vbox,  end macro.  Must not insert anything between braces!

% Get last hbox off list; rebox it into \SH@boxa, omitting final glue
%
\def\SH@grablast{\unskip\unkern\unskip\unpenalty
  \setbox\SH@boxa\lastbox
  \ifhbox\SH@boxa
    \setbox\SH@boxa\hbox{\unhbox\SH@boxa\unskip\unskip\unpenalty}%
  \fi}

\def\SH@parpars{%
   \lineskiplimit-99\p@ \linepenalty\thr@@
   \tolerance9999
   \ifx\emergencystretch\undefined % TeX2
     \rightskip\z@ plus.5emminus.2em % optimise
   \else \rightskip\z@skip \emergencystretch 3em % TeX 3
   \fi \pretolerance\m@ne \hbadness\@MM % avoid error messages
   \SH@baseset
}

\def\SH@done{\SH@parpars
  \skip@ 1spplus2\p@ minus\p@
  \parfillskip.5\maxdimen % this will drag text to the bottom point.
  \advance\SH@npslines\@ne
% \message{Parshape:  \parshape\the\SH@npslines\space \SH@parshape 0 .5\maxdimen. }%
  \SH@reform % reformat paragraph with new parfillskip
  \ifx\SH@usebox\box % boxed \Shapepar: find min pos
    \let\@elt\SH@measureh \SH@posold\maxdimen \SH@lines
  \else
    \SH@posold\z@
  \fi
% {\let\@elt\relax \message{SH@lines: \SH@lines. }}%
  \SH@nline\m@ne \SH@highline-\@m \SH@lowline\m@ne \let\@elt\SH@restack
* \message{Restacking.}%
  % re-stack segments and re-justify lines; put in \vtop or \vbox appropriately
  \global\setbox\SH@boxb \ifx\SH@margin\@empty \vbox \else \vtop \fi {%
     \setbox\SH@boxa\vbox{}\leftskip\z@ plus55sp minus5\p@ % optimise
     \unvbox\SH@boxb
     \SH@lines \unvbox\SH@boxa
     \ifnum\SH@highline<\SH@lowline
       \nobreak
       % \message{After restack, \the\SH@highline<\the\SH@lowline,}
       \advance\SH@lowline-\SH@highline
       % \message{so skip down \the\SH@lowline\space lines. }%
       \vskip\SH@lowline\baselineskip
     \fi
  }% Now we have final \SH@boxb
  \ifx\SH@margin\@empty % stand-alone
     \egroup % end original \setbox\SH@boxa\vbox\bgroup; but \SH@boxa is useless
     \ifx\SH@usebox\unvbox % ordinary \shapepar
        \unvbox\SH@boxb \prevdepth\SH@pd
     \else % boxed \Shapepar
        \vtop{\unvbox\SH@boxb}%
        \ifvmode
          \hrule height-\SH@pd width\z@
          \hbox{\vrule depth\SH@pd width\z@}%
        \fi
     \fi
     \SH@restog % restore global registers
     \endgroup % forgets many local parameters. \prevdepth is global
  \else % \cutout\shapepar Placed on margin of cutout text
     \SH@docutout
  \fi
  \let\SH@usebox\unvbox % completely finished!
  \let\SH@margin\@empty
  \SH@ignorepar
}

% Note on height and depth:  
% Ordinary \shapepar uses \unvbox, which ignores ordinary \baselineskip
% figuring, so we start the final formatting of the shape with the 
% prevdepth from outside and above.  We use the depth of the \vbox
% to set the \prevdepth after unboxing it.  We can't record \prevdepth
% from inside because we strip off a box from the bottom.
% \Shapepar emits the shape in a box. The best way to do that is to
% record the depth of the \vbox, rebox it as a \vtop (emitted) and then,
% if vertical mode, make a strut with the proper depth. (Merely setting
% \prevdepth gets the inter-line skips right, but not the placement at
% the bottom of a page.)

% Finally, \cutout requires a \smashed \vtop (only depth removed due to 
% the strange behavior of \vtop).

\def\SH@reform{%
\global\setbox\SH@boxb\vbox\bgroup
* \message{Reformat paragraph with \string\rightskip = \the\rightskip.}%
  \advance\parfillskip-\rightskip \advance\parfillskip-\leftskip
  \parshape\the\SH@npslines\space \SH@parshape \z@ .5\maxdimen
  %% Maybe use prevdepth from outside, penalty puts \parskip and favors breaks
  \ifx\SH@margin\@empty \ifx\SH@usebox\unvbox
     \prevdepth\SH@pd \ifdim\SH@pd>-\@m\p@ \penalty-50 \fi
  \fi \fi
  \noindent \unhcopy\SH@boxa \unskip\unskip\unpenalty\strut
  \penalty-\@M\hbox{\kern\maxdimen}\endgraf
  \ifnum\prevgraf=\SH@npslines % good, it worked.
    \setbox\SH@boxa\lastbox \unskip\unpenalty % remove mongo last box
    \egroup % end \SH@boxb, just above
    \xdef\SH@pd{\the\dp\SH@boxb}%
  \else % something wrong, increase flexibility and try again
    \egroup % end \SH@boxb, just above
    \ifnum\skip@<64 % try again
       \advance\rightskip\skip@
       \multiply\skip@\tw@
       \expandafter\expandafter\expandafter \SH@reform
  \fi\fi}

\def\SH@measureh#1#2#3{% line num, shift, width
  \ifdim#2<\SH@posold \SH@posold#2\relax \fi
}

\def\SH@restack#1#2#3{% line num, shift, width
  \unpenalty \skip@\lastskip \unskip \unpenalty
  \advance\skip@\lastskip \unskip \unpenalty\unpenalty
  \setbox\@tempboxa\lastbox
  \setbox\SH@boxa\vbox{%
     \ifhbox\@tempboxa
        \advance\SH@posold-#2% Trim box for \Shapepar
        \moveright-\SH@posold \hbox to#3
        {\hskip\leftskip \unhbox\@tempboxa \unskip \hskip\leftskip}%
        \nobreak
     \fi
     \vskip\skip@
     \ifnum\SH@nline>\z@ \begingroup
       \count@=#1 \advance\count@-\SH@nline \advance\count@\@ne
       \vskip-\count@\baselineskip
     \endgroup\fi
     \unvbox\SH@boxa}%
  \SH@nline#1\relax
  % Keep track of line num for last box (\SH@highline) and
  % lowest box on page (\SH@lowline) 
  \ifnum\SH@highline=-\@m \SH@highline\SH@nline \fi
  \ifnum\SH@lowline<\SH@nline \SH@lowline\SH@nline \fi
}

% Find and record parameters about the shape spec:
% \spec@hcenter:  Horizontal center of spec
% \spec@top: Vertical position at top of spec
% \spec@bot: Vertical position at bottom of spec
% \spec@height: difference between them
% \spec@left: Horizontal position at leftmost point of spec (macro)
% \spec@width: Total width of spec (macro)
% \spec@area: Area covered by spec
% All in whatever units are used by the spec itself.
%
\def\SH@checkspec#1#2#3#4${% h-center, v-origin, "b", rest of spec
   \ifx b#3\else \SH@sperror \fi
   \spec@hcenter#1\p@ \spec@top#2\p@
   \spec@bot-\maxdimen \spec@prevpos-\maxdimen
   \gdef\SH@spec{{#2}b#4}%
   %  Measure vertical extrema and check for valid backspacing
   \let\\\SH@CheckSpecLine
   \\{#2}b#4\\{-12345.6}\\[$%
   \ifdim\spec@bot<-\@M\p@ \SH@sperror \fi
   %  Measure horizontal extrema
   \spec@height\spec@bot \advance\spec@height-\spec@top
   \SH@posold\maxdimen \SH@widold-\maxdimen\relax
   \SH@CheckSpecSeg b#4\delimiter
   \edef\spec@left{\Pointless\SH@posold}%
   \advance\SH@widold-\SH@posold \edef\spec@width{\Pointless\SH@widold}%
^  \message{Spec top: \Pointless\spec@top, bottom: \Pointless\spec@bot, height: 
^         \Pointless\spec@height, left: \spec@left, width: \spec@width. }%
}

%  Record vertical positions.

\def\SH@CheckSpecLine#1#2\\{\ifdim#1\p@<-\@M\p@ % finished
     \def\\[${}% $
  \else
     \ifdim#1\p@>\spec@bot \spec@bot #1\p@\relax \fi
     \ifdim#1\p@<\spec@prevpos % allow backspace only between pieces
        \if\SH@only@b#2;\@empty \spec@prevpos#1\p@
        \else \SH@sperror
           \spec@bot-\p@ \def\\##1[${}% $ eat rest
        \fi
     \else \spec@prevpos#1\p@
  \fi\fi \\}

\def\SH@only@b #1#2{% return bb if only "b" specs until ";"
  \if b\noexpand#1\expandafter\SH@only@b
  \else \if ;\noexpand#1bb\else ab\fi
  \fi}
  
%  Record horizontal positions.  These are not used, but they anticipate
%  a shape-based bounding box.

\def\SH@CheckSpecSeg#1#2#3{%
  \ifx t#1\relax \SH@SaveSpecSeg{#2}{#3}\else
  \ifx b#1\relax \SH@SaveSpecSeg{#2}0\else
  \ifx e#1\relax \SH@SaveSpecSeg{#2}0\fi\fi\fi
  \ifx\delimiter#3\def\SH@CheckSpecSeg##1##2{}\fi
  \SH@CheckSpecSeg{#2}{#3}}

\def\SH@SaveSpecSeg#1#2{%
  \SH@posseg#1\p@\relax
  \ifdim\SH@posseg<\SH@posold \SH@posold\SH@posseg \fi
  \advance\SH@posseg#2\p@\relax
  \ifdim\SH@posseg>\SH@widold \SH@widold\SH@posseg \fi
  \relax
}

% Grab all the hboxes in the preceding list, combine their contents in
% \@tempboxa (removing \rightskip, separating with space), and give 
% SH@tottext = total_width / 256 (note that the total width may be 
% greater than \maxdimen)
%
\def\SH@sumlines{\SH@grablast 
\ifhbox\SH@boxa
  \@tempdima\wd\SH@boxa \divide\@tempdima\@cclvi 
  \global\advance\SH@tottext\@tempdima
  \setbox\@tempboxa\hbox{%
     \ifvoid\@tempboxa\else \unhbox\@tempboxa\space \fi
     \unhbox\SH@boxa}%
  \expandafter\SH@sumlines
\fi}

\def\SH@sperror{\errhelp{It would be amazing if you can continue after
  this error.}\errmessage
  {Shaped Paragraph Error:  Error in specification.  Check carefully!}}%

%  Do the cutout in the surrounding text.  Do so by regenerating
%  the a \parshape (\SH@lines actually) with a smaller line spacing.
%  Whichever of those lines fall near each line in the outer cutout
%  text contribute to the outer parshape.

\def\SH@docutout{%
   % \message{\string\SH@docutout, with initial y-pos=\the\spec@position, scale=\the\SH@scale. }%
   \spec@position-\SH@yoff\relax \fpdivide\spec@position\SH@scale
   \advance\spec@position\spec@firstposition
   % \message{Spec position of first outer line is \the\spec@position. }%
   % line spacing of surrogate is fraction of the outer baselines.
   % Determine surrogate's "refined" baseline-skip (\SH@refbase),
   % its shape-spec increment (\spec@incr) and the number of lines
   % corresponding to the vertical (expanded) cutout-sep (\SH@highline)
   % Temporarily, \SH@posold is "shoulder" - height of octagon's corner.
   \SH@refbase\SH@cutoutbase
   \@tempdima\cutoutsep
   \SH@posold.414\cutoutsep
   \advance\@tempdima\cutoutsepstretch\SH@refbase % not refbase but cutoutbase
   \advance\SH@posold\cutoutsepstretch\SH@refbase
   \divide\SH@refbase\RefineBaselines % examine multiple positions per line
   % \message{Vertical gap \the\@tempdima, with refined spacing \the\SH@refbase. }%
   \divide\@tempdima\SH@refbase
   \SH@highline\@tempdima \SH@lowline-\SH@highline
   \spec@incr\SH@refbase
   \fpdivide\spec@incr\SH@scale
   % Pre-calculate excluded octagon shape (\SH@posold is "shoulder")
   \begingroup
     \gdef\SH@octcase{}\let\or\relax \SH@nextoctcase
     \xdef\SH@octcase{\noexpand\ifcase\SH@highline\SH@octcase\z@\noexpand\fi}%
     %\toks@\expandafter{\SH@octcase}\message{Octagon cases are: \the\toks@ }%
   \endgroup
   \SH@lowline-\SH@highline
   %\message{Range of lines of interest: \the\SH@lowline\space to \the\SH@highline. }%
   \advance\SH@lowline\@ne \advance\SH@highline\@ne
   % Generate the surrogate refined-lines shape
   \def\SH@dopara##1${}%  Don't typeset the refined shape; just gobble to $
   \SH@makeparshape % Get \SH@lines
   % Record highest line number in \SH@lines
   \let\@elt\SH@getmaxline \SH@nline\z@ \SH@lines
   % Use \SH@widold ("hold") to retain:  x_off +/- (.5 hsize)
   \SH@widold\SH@xoff \advance\SH@widold\if l\SH@margin-\fi .5\hsize
   % Use \SH@posold ("hold") for initialization for outermost position
   \if l\SH@margin\relax
      \def\@tempb##1##2{##1##2}%
      \SH@posold -\SH@widold
   \else 
      \def\@tempb##1##2{\z@##1}%
      \SH@posold\hsize \advance\SH@posold-\SH@widold
   \fi
   % Build cutout's parshape in \SH@parshape
   \gdef\SH@parshape{\@empty\@empty\@empty}\SH@npslines\z@
   \expandafter\let\expandafter\@elt\csname SH@mostopposite\SH@margin\endcsname
   \SH@cutoutline % Builds parshape
   % Pull out indentation of first line
   \afterassignment\SH@dopara % a type of "gobble", see a bit above
   \@tempdima\SH@parshape $% the $ terminates gobble
   \advance\@tempdima-\SH@xoff
   \xdef\SH@xoff{-\the\@tempdima}%
   % Now finalize the parshape lines
   \advance\SH@npslines\@ne
   \xdef\SH@parshape{\number\SH@npslines\space\SH@parshape \z@\hsize}%
   \egroup % end original \setbox\SH@boxa\vbox\bgroup; but \SH@boxa is useless
   \SH@restog % restore global registers
  \endgroup% Have the parshape; end group started by \shapepar
  \global\setbox\SH@boxb\rlap{%
    \kern\if\SH@margin l-\fi.5\hsize
    \kern\SH@xoff
    \lower\SH@yoff \box\SH@boxb
  }%
  % Encourage page break above
  \@tempdima\dp\SH@boxb
  \advance\@tempdima-\SH@cutoutbase
  \advance\@tempdima\cutoutsep
  \dp\SH@boxb\z@
  \vskip \z@ plus .3\@tempdima % optimize
  \penalty \@cclv % optimize
  \vskip \z@ plus -.3\@tempdima % undo above skip
  \ifdim20\p@<\@tempdima % optimize
    \vskip \@tempdima plus 9\p@ % optimize
    \penalty \@m % optimize
    \vskip -\@tempdima plus -9\p@ % undo above skip
  \fi
  \noindent % Outer text is not indented.  To indent, use \indent.
  \vadjust{\penalty\@M \vskip\@tempdima
           \penalty9999 % exercise page builder
           \vskip-\@tempdima}%
  \endgroup % end group started by \cutout; out of all groups
  %\message{Parshape:  \noexpand\parshape\SH@parshape }%
  \parshape\SH@parshape
  \box\SH@boxb
}

% for r  indent = 0pt (done by \@tempb)
%        width  = leftmost_pos  + x_offset + ( .5\hsize - gap )
% for l  indent = rightmost_pos + x_offset - ( .5\hsize - gap )
%        width  = \hsize - indent
% Because I allow backspacing, I can't go through the spec, building
% the parshape.  Instead, I have to scan the whole spec, or rather, its
% instantiation in \SH@lines, for every line of the \parshape...
% Well, I *could* sort the instantiation first; then I could move
% though it sequentially.
%
% Here I am re-using some scratch variables:
% \SH@posold = +/- \maxdimen -- starting value of rightmost/leftmost
% \SH@widold = x_offset +/- ( .5\hsize )
% \SH@posseg = leftmost/rightmost position
% \SH@nline  = highest number of \@elt lines in \SH@lines

\def\SH@cutoutline{%
  \ifnum\SH@lowline>\SH@nline
    \let\SH@cutoutline\relax
  \else
    \SH@posseg\SH@posold
    \advance\SH@npslines\@ne
    %\message{SH@cutoutline \the\SH@npslines\space between \the\SH@lowline\space and \the\SH@highline. }%
    \SH@lines % Use \@elt to get leftmost/rightmost at this line
    %\message{ posseg \the\SH@posseg, posold \the\SH@posold. }%
    \advance\SH@posseg \SH@widold
    {\advance\hsize-\SH@posseg
    \xdef\SH@parshape{\SH@parshape \@tempb{\the\SH@posseg}{\the\hsize}}}%
  \fi 
  \advance\SH@highline\RefineBaselines  \advance\SH@lowline\RefineBaselines
  \SH@cutoutline}

% choose leftmost position among \SH@posseg and lines near \SH@nline
\def\SH@mostoppositer#1#2#3{% #1: line, #2: indent, #3: width
  \ifnum #1<\SH@lowline\else
     \ifnum #1>\SH@highline\else
        \advance\SH@highline-#1
        % \message{Compare #2 #3 at #1. Case \the\SH@highline: \SH@octcase}%
        \dimen@#2\advance\dimen@-\SH@octcase\relax
        \ifdim \dimen@<\SH@posseg \SH@posseg\dimen@\fi
        \advance\SH@highline#1
  \fi\fi}

% choose rightmost position among \SH@posseg and lines near \SH@nline
\def\SH@mostoppositel#1#2#3{% #1: line, #2: indent, #3: width
  \ifnum #1<\SH@lowline\else
     \ifnum #1>\SH@highline\else
        \advance\SH@highline-#1
        \dimen@#2\advance\dimen@#3\advance\dimen@\SH@octcase\relax
        % \message{Compare #2 #3 at #1. Case \the\SH@highline=\SH@octcase: \the\dimen@}%
        \ifdim \dimen@>\SH@posseg \SH@posseg\dimen@\fi
        \advance\SH@highline#1
  \fi\fi}

%\def\SH@updCOlines{% Update list of lines for cut-out
%\message{.}%
%  \xdef\SH@lines{\SH@lines\@elt{\the\SH@nline}{\the\SH@posold}{\the\SH@widold}}%
%  \advance\SH@npslines\@ne
%  \SH@widold\SH@widseg \SH@posold\SH@posseg}

\def\SH@getmaxline#1#2#3{\ifnum#1>\SH@nline \SH@nline#1\relax\fi}

\def\SH@nextoctcase{%
  \SH@posseg\AbsVal\SH@lowline\SH@refbase
  \SH@widseg\cutoutsep
  \ifdim\SH@posseg>\SH@posold
     \advance\SH@widseg-\SH@posseg
     \advance\SH@widseg \SH@posold
  \fi
  \xdef\SH@octcase{\SH@octcase \the\SH@widseg \or}%
  \advance\SH@lowline\@ne
  \ifnum\SH@lowline>\SH@highline\else
  \expandafter\SH@nextoctcase \fi}

% Ignore following spaces and \par
\def\SH@ignorepar{\afterassignment\SH@ignorepaR \let\SH@next=}
\def\SH@ignorepaR{%\show\SH@next 
 \edef\SH@nextspec{\noexpand\SH@next}% Hide \outer macros
 \ifx\par\SH@next \let\SH@nextspec\SH@ignorepar \fi
 \expandafter\ifx\space\SH@next \let\SH@nextspec\SH@ignorepar \fi
 \SH@nextspec}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Take a square root of counter \sqrtcount using Newton's method.
% Usage: \sqrtcount=<number> \sqrtofcount; gives square root in \sqrtcount
% To take sqrt of a dimen, do:
%       \sqrtcount=\thedimen \sqrtofcount
%       \multiply\sqrtcount by 256 \thedimen=\sqrtcount sp
% -- see \sqrtofdim
%
% (\@tempcnta and \@tempcntb are used and modified.)
\newcount\sqrtcount
\def\sqrtofcount{\relax\ifnum\sqrtcount>\z@
  \@tempcnta\sqrtcount \sqrtcount\@ne
  \expandafter\squinitial\the\@tempcnta\relax\relax\relax
  \squiterate
\else
  \sqrtcount\@ne 
\fi}
\def\squinitial#1#2{\ifx#1\relax \else
    \ifx #2\relax \multiply\sqrtcount \thr@@ % 3 ~ sqrt(10)
    \else    \multiply\sqrtcount 10
    \fi   \expandafter \squinitial
  \fi}
\def\squiterate{\@tempcntb\@tempcnta \divide\@tempcntb\sqrtcount
   %\message{sqrt(\the\@tempcnta) guess: \the\sqrtcount. }%
   \advance\sqrtcount\@tempcntb \divide\sqrtcount\tw@
   \advance \@tempcntb -\sqrtcount
   \ifnum \AbsVal\@tempcntb>\thr@@ % approximate, use 1 for exact
   \expandafter \squiterate \fi}% expandafter to avoid stack overflows

%  Take sqrt of dimen register, as described above.
\def\sqrtofdim#1{% #1 = dimen register
  \sqrtcount#1\sqrtofcount \multiply\sqrtcount\@cclvi #1=\sqrtcount sp\relax}



\newcount\FPD@hi \FPD@hi=67108863

% Approximate Fixed Point Division of two dimensions
% 3.14159/2.71828 = 1.15573
% Two parameters: Numerator and denominator.  The answer is returned
% in the numerator (which must be a register).  The denominator is
% unchanged, but it should also be a dimen register. (It may be given 
% as an explicit *integer* string, "123", which is treated as 0.001877
% = 123/65536.)   % \@tempcntb is used and altered.
% 
\def\fpdivide#1#2{\let\FPD@nume#1\@tempcntb#2\relax
  \FPD@scale\FPD@scale\FPD@scale\FPD@scale
  \divide#1\@tempcntb}

% Rescale numbers to preserve accuracy.  The number 16 is the level of
% uncertainty. Use a lower power of 2 for more accuracy (2 is most precise).
% But if you change it, you must change the repetions of \FPD@scale in
% \fpdivide above: magic_number^repetitions = 65536 (16^4 = 65536).
%
\def\FPD@scale{\ifnum\AbsVal\FPD@nume<\FPD@hi
    \multiply\FPD@nume\sixt@@n
  \else
    \divide\@tempcntb\sixt@@n
  \fi}

% take absolute value of TeX number or dimension (dimen must be a register)
\def\AbsVal#1{\ifnum#1<\z@-\fi#1}

\def\Pointless#1{\expandafter\remove@PT\the#1}
{\catcode`p=12 \catcode`t=12 \gdef\remove@PT#1pt{#1}}

\squarepar % restore catcodes

% ---------------- Pre-defined shapes --------------------
% If you have (computer) memory problems, the following shape
% definitions can be eliminated.

\def\diamondshape{{3}{0}b{3}\\{4}t{0}{6}\\{8}e{3}}
\def\diamondpar#1{\shapepar\diamondshape $\diamondsuit$ {#1} $\diamondsuit$\par}

\def\squareshape{%
  {1}%            centerline at x=1
  {0}b{0}\\%      begin at (0,0)
  {0}t{0}{2}\\%   text at y=0, width=2
  {2}t{0}{2}\\%   text at y=2, width=2
  {2}e{1}%        end at (1,2)
}
\def\squarepar#1{\shapepar{\squareshape}#1\par}

\def\heartshape{%
{20}{0}b{13.32}b{26.68}%
\\{.14}t{10.12}{4.42}t{25.46}{4.42}%
\\{.7}t{9.14}{7.16}t{23.7}{7.16}%
\\{1.4}t{8.4}{9.02}t{22.58}{9.02}%
\\{2.1}t{7.82}{10.42}t{21.76}{10.42}%
\\{2.8}t{7.36}{11.58}t{21.06}{11.58}%
\\{3.5}t{6.98}{12.56}t{20.46}{12.56}%
\\{4.2}t{6.68}{13.32}jt{20}{13.32}%
\\{4.9}t{6.48}{27.04}%
\\{5.6}t{6.34}{27.32}%
\\{6.3}t{6.28}{27.44}%
\\{7}t{6.26}{27.48}%
\\{7.7}t{6.27}{27.46}%
\\{8.4}t{6.32}{27.36}%
\\{9.1}t{6.4}{27.2}%
\\{9.8}t{6.52}{26.96}%
\\{10.5}t{6.68}{26.64}%
\\{11.9}t{7.12}{25.76}%
\\{13.3}t{7.72}{24.56}%
\\{14.7}t{8.51}{22.98}%
\\{16.1}t{9.5}{21}%
\\{17.5}t{10.69}{18.62}%
\\{18.9}t{12.08}{15.84}%
\\{20.3}t{13.7}{12.6}%
\\{21.7}t{15.62}{8.76}%
\\{22.4}t{16.7}{6.6}%
\\{23.1}t{17.87}{4.26}%
\\{24.6}e{20}%
}
\def\heartpar#1{\shapepar{\heartshape}#1\unskip\unskip\penalty-300
\ \ $\heartsuit$\par}

\def\circleshape{%
{0.0}%
{0.0}b{0}\\%
{0.017}t{-0.129}{0.259}\\%
{0.067}t{-0.250}{0.500}\\%
{0.146}t{-0.354}{0.707}\\%
{0.250}t{-0.433}{0.866}\\%
{0.371}t{-0.483}{0.966}\\%
{0.500}t{-0.500}{1.000}\\%
{0.629}t{-0.483}{0.966}\\%
{0.750}t{-0.433}{0.866}\\%
{0.854}t{-0.354}{0.707}\\%
{0.933}t{-0.250}{0.500}\\%
{0.983}t{-0.129}{0.259}\\%
{1.0}e{0}
}
\def\circlepar#1{\Shapepar\circleshape #1\par}

\def\nutshape{%
{0}%
{0}b{0}\\%
{0}t{-12.5}{25}\\%
{11.65}t{-19.23}{19.23}st{0}{19.23}\\%
{11.99}t{-19.42}{16.835}t{2.59}{16.835}\\%
{12.99}t{-20}{15}t{5}{15}\\%
{14.58}t{-20.92}{13.85}t{7.07}{13.85}\\%
{16.65}t{-22.11}{13.45}t{8.66}{13.45}\\%
{19.06}t{-23.51}{13.85}t{9.66}{13.85}\\%
{21.65}t{-25}{15}t{10}{15}\\%
{24.24}t{-23.51}{13.85}t{9.66}{13.85}\\%
{26.65}t{-22.11}{13.45}t{8.66}{13.45}\\%
{28.72}t{-20.92}{13.85}t{7.07}{13.85}\\%
{30.31}t{-20}{15}t{5}{15}\\%
{31.31}t{-19.42}{16.835}t{2.59}{16.835}\\%
{31.65}t{-19.23}{19.23}jt{0}{19.23}\\%
{43.3}t{-12.5}{25}\\%
{43.3}e{0}%
}
\def\nutpar#1{\Shapepar\nutshape #1\par}

\def\CDlabshape{%
{0}%
{-5.5}b{0}\\%
{-5.3}t{-1.47}{2.94}\\%
{-4.8}t{-2.685}{5.37}\\%
{-3.9}t{-3.878}{7.756}\\%
{-2.8}t{-4.734}{9.468}\\%
{-2.5}t{-4.899}{4.899}st{0}{4.899}\\%
{-2.2}t{-5.04}{3.853}t{1.187}{3.853}\\%
{-1.2}t{-5.376}{3.174}t{2.193}{3.174}\\%
{0}t{-5.5}{3}t{2.5}{3}\\%
{1.2}t{-5.376}{3.174}t{2.193}{3.174}\\%
{2.2}t{-5.04}{3.853}t{1.187}{3.853}\\%
{2.5}t{-4.899}{4.899}jt{0}{4.899}\\%
{2.8}t{-4.734}{9.468}\\%
{3.9}t{-3.878}{7.756}\\%
{4.8}t{-2.685}{5.37}\\%
{5.3}t{-1.47}{2.94}\\%
{5.5}e{0}%
}
\def\CDlabel#1{\Shapepar[1cm]{\CDlabshape}#1\par}

\def\starshape{%
{0}%
{-3}b{0}\\%
{-.927}t{-.674}{1.348}\\%
{-.927}t{-2.853}{5.706}\\%
{.354}t{-1.09}{2.18}\\%
{1.146}t{-1.347}{1.347}st{0}{1.347}\\%
{2.427}e{-1.763}e{1.763}%
}
\def\starpar#1{\shapepar\starshape #1\par}

\endinput

%-------------------------------------------------------------------

       S H A P E P A R . S T Y    --   Instructions

\shapepar is a macro to typeset paragraphs of a specified shape.
The total size is adjusted automatically so that the entire shape is
filled with text.  This is distinct from the normal \parshape command
which specifies a shape *and* a size, which may be only partially
filled, or over-filled, from top to bottom.  In a \shapepar there
can be no displayed math, and no "\vadjust" material, (including
"\vspace"). \Shapepar (capital S) is just like \shapepar except the
paragraph is boxed and not centered.  Shaping paragraphs this way is a
slow process, so this is mainly intended for cards, invitations etc.,
not for whole books!  Although short paragraphs process much faster,
only long paragraphs accurately fill complex shapes.

These macros work for both LaTeX and plain TeX.  For LaTeX, specify
\usepackage{shapepar}, or for either, \input shapepar.sty.

The command \shapepar should be used at the beginning of a paragraph,
and it applies to the entire paragraph.  There is one optional length
parameter -- a fixed scale, <scale>, and one required parameter -- a 
description of the shape, <shape_spec>.

\shapepar [<scale>]{<shape_spec>} Text of the paragraph...

The text of the paragraph is not literally a *parameter*, so verbatim
macros will work there.

Ordinarily, the scale is calculated automatically so the pargaraph
fills the shape.  If a scale length is given, then the shape is
reproduced so one unit of the <shape_spec> equals the <scale>, and
the shape is filled with whitespace after the paragraph text.
 
The <shape_spec> parameter is very complex, but there are a few
shapes predefined as macros in this file: \diamondshape, \heartshape
and \nutshape, which are used as examples in the instructions below.
There are also commands to use these shapes: \diamondpar, \squarepar
and \heartpar; for example, \heartpar begins \shapepar{\heartshape}#1
so you can use it like: 

\heartpar{This paragraph is too short to be recognized as a heart shape.}

The syntax rules for <shape_spec> are very specific, and must be
followed closely.  (In these rules, { } mean explicit braces, [ ]
denote optional parts, < > surround a keyword that is defined (perhaps
loosely), and | means "or"; do not type [ ] < > or |, but do type { }.)

<shape_spec> = {<h_center>} <lines>

<lines> = <line_spec> [\\<lines>]

That is, the shape is specified as a single number in braces, followed
by the specifications for the lines, with the lines separated by \\. The
final paragraph will have its <h_center> position centered on the page.
<h_center> is a number (like 10.5) of arbitrary units; whatever units
are used for lengths and positions in the <lines>, they just need to be
consistent. 

The lines in the spec are not lines of text; nor are they the lines
that you would use to draw the shape itself.  They are horizontal
scans across the shape at irregular intervals.  Curved shapes need
many scan lines for accurate rendering while simple shapes need only
a few.  To determine the line specifications, start by drawing the
shape on paper, then draw a series of horizontal lines across it,
including lines that just touch the top and the bottom of the figure.  
Each line crosses over pieces of the figure in some region.  These 
intersections of line and figure define a <line_spec>.

<line_spec> = {<v_pos>} <segment> [ other <segment>s ]

The <v_pos> is the vertical position of the line.  Each <line_spec> must
usually have a position greater than or equal to that of the previous 
line, and with all <v_pos> > -1000. The exception is that between consecutive 
lines relating to completely disconnected parts of the figure the <vpos>
may decrease (backspacing). Position is measured from top to bottom, and
always moving down. Each <segment> represents a region where text will
go in the final paragraph; it is the segment of the horizontal scan line
that overlaps the body of the figure.  There are five types of segment:

<segment> = t{pos}{len} | b{pos} | e{pos} | s | j

  b{pos}         begin text at a point at horizontal position pos
  e{pos}         end text at a point at horizontal position pos
  t{pos}{len}    make a block of text at position pos with length len
  s              split text (begin whitespace)
  j              join two text blocks (end a gap)

The most common type of segment is t (text).  The other types are
degenerate in that they are single points rather than finite segments.
Types s and j have no explicit position, but they must appear between
text segments, and those texts should abut; e.g.,  t{3}{2}st{5}{4}
(text from 3 to 5 and text from 5 to 9).

Let's jump right into a simple example, and the meanings will be
clearer.  A "diamond" shape can have the four vertices:

                   (x=1,y=0)
                       .
  +---> x
  !          (0,1) .       . (2,1)
  !
  V y                  .
                     (1,2)


This shape can be exactly specified by just three scan lines passing
through the vertices.  The specification is:

{1}%            h_center: x = 1
{0}b{1}\\%      text block begins at point y=0, x=1
{1}t{0}{2}\\%   this scan (at y=1) crosses text (len=2) starting at x=0
{2}e{1}         text block ends at point y=2, x=1

Other specification lines, like

{1.5}t{0.5}{1}\\%

could be inserted, but would make no difference--the shape is
interpolated linearly between scan lines.

Every block of text must start with a b specifier and end with an e
spec on some line below.  Every segment specified by t must have a
length greater than zero. If two blocks of text merge to form one (like
at the notch of a heart shape) there should be a j spec at the point of
junction.  If one block bifurcates (like at the top of a hole in a
doughnut) there should be an s spec.

Thus, the first line for any valid shape description must consist
of only b segment descriptors; the last line can only have e type
descriptors.  Although the definition of the units is arbitrary, the
numbers should range in magnitude from ~.1 - 100 to avoid numeric 
overflows and underflows.

If there are errors in the format of the specification, \shapepar
might complain with the error message

 Shaped Paragraph Error:  Error in specification.  Check carefully!

At this point you may as well type x or e, as there is very little
chance that TeX will continue successfully.  You might also get one
of TeX's regular error messages, like

        Illegal unit of measure (pt inserted).
or
        Missing number, treated as zero.

or you might get no error message at all, just ridiculous formatting.
Check shape syntax carefully against the rules and the examples before
running them through TeX.

What to do if the figure does not start at a point--if it has a flat
top?  It can start at a single point, but have the next scan line at
the same vertical position!  A square paragraph is specified by:

  {1}%            centerline at x=1 (x=1 is horizontally centered on page)
  {0}b{0}\\%      begin at (0,0)
  {0}t{0}{2}\\%   text at y=0, width=2
  {2}t{0}{2}\\%   text at y=2, width=2
  {2}e{1}%        end at (1,2)

Both \diamondpar and \squarepar are defined above as paragraphs with
these shapes.

Now let's get more ambitious.  A heart shape must have two simultaneous
beginnings, a short stretch of separate text, ending with a join,
whereafter there is just one stretch of text leading to the final
bottom point.  This shape has many scan lines so that the smooth
flowing curves are preserved.

\def\heartshape{%
{20}{0}b{13.32}b{26.68}%
\\{.14}t{10.12}{4.42}t{25.46}{4.42}%
\\{.7}t{9.14}{7.16}t{23.7}{7.16}%
\\{1.4}t{8.4}{9.02}t{22.58}{9.02}%
\\{2.1}t{7.82}{10.42}t{21.76}{10.42}%
\\{2.8}t{7.36}{11.58}t{21.06}{11.58}%
\\{3.5}t{6.98}{12.56}t{20.46}{12.56}%
\\{4.2}t{6.68}{13.32}jt{20}{13.32}%
\\{4.9}t{6.48}{27.04}%
\\{5.6}t{6.34}{27.32}%
\\{6.3}t{6.28}{27.44}%
\\{7}t{6.26}{27.48}%
\\{7.7}t{6.27}{27.46}%
\\{8.4}t{6.32}{27.36}%
\\{9.1}t{6.4}{27.2}%
\\{9.8}t{6.52}{26.96}%
\\{10.5}t{6.68}{26.64}%
\\{11.9}t{7.12}{25.76}%
\\{13.3}t{7.72}{24.56}%
\\{14.7}t{8.51}{22.98}%
\\{16.1}t{9.5}{21}%
\\{17.5}t{10.69}{18.62}%
\\{18.9}t{12.08}{15.84}%
\\{20.3}t{13.7}{12.6}%
\\{21.7}t{15.62}{8.76}%
\\{22.4}t{16.7}{6.6}%
\\{23.1}t{17.87}{4.26}%
\\{24.6}e{20}%
}

Look at \heartshape and find the two b specifiers at the beginning; find
the j a few lines below. Notice that above the j there are two segments
per line, but only one below it; the text to the left and right of the
join meet at the join point: 20.  I drew this heart freehand, and  measured
lengths from the sketch, so you should be able to do better!

Text can have holes.  For example, a doughnut-shape would have a  b on
the first line, followed by some lines with a single t,  then a line with
t s t at the start of the hole. The hole is represented by lines with two
t specs--the gap between them is the hole.  A line with  t j t ends the
hole.  There are more lines with single t, and then an e line to end
with.  Our final example is a nut.  Not a doughnut, but a hex-nut (for a
machine screw) -- a regular hexagon with a circular hole in the center.
The hexagon is flat on top and bottom so the specification begins and
ends like the square shape. The circle is rendered as a 24-gon, beginning
with a split (s) of the surrounding text and ending with a join (j).  If
the spacing of the scan lines looks odd, it is because the hexagon alone
would need few scans, but the circle needs many; the points on the circle
are at 15 degree intervals.

\def\nutshape{%
{0}%
{0}b{0}\\%
{0}t{-12.5}{25}\\%
{11.65}t{-19.23}{19.23}st{0}{19.23}\\%
{11.99}t{-19.42}{16.835}t{2.59}{16.835}\\%
{12.99}t{-20}{15}t{5}{15}\\%
{14.58}t{-20.92}{13.85}t{7.07}{13.85}\\%
{16.65}t{-22.11}{13.45}t{8.66}{13.45}\\%
{19.06}t{-23.51}{13.85}t{9.66}{13.85}\\%
{21.65}t{-25}{15}t{10}{15}\\%
{24.24}t{-23.51}{13.85}t{9.66}{13.85}\\%
{26.65}t{-22.11}{13.45}t{8.66}{13.45}\\%
{28.72}t{-20.92}{13.85}t{7.07}{13.85}\\%
{30.31}t{-20}{15}t{5}{15}\\%
{31.31}t{-19.42}{16.835}t{2.59}{16.835}\\%
{31.65}t{-19.23}{19.23}jt{0}{19.23}\\%
{43.3}t{-12.5}{25}\\%
{43.3}e{0}%
}

\shapepar cheats a bit when the horizontal gap between two bits of text
is small (like down in the notch of \heartpar).  When the gap is less
than an interword space it is eliminated, and the texts are joined; when
it is somewhat larger it is expanded to give it more visibility.  If you
want to eliminate this behavior, move the following definitions up into
the main part of the file.

See shapepar.tex for more detailed instructions.

%-----------------------------------------
Version 2.00 (Dec 2002)    \cutout, disjoint parts, set scale, much rewrite
Version 1.01 (March 1993)  Small changes from initial release.

%
%  Test integrity of file:
%  brackets: round, square, curly, angle:   () [] {} <>
%  backslash, slash, vertical, at, dollar, and: \ / | @ $ &
%  hat, grave, acute (apostrophe), quote, tilde:   ^ ` ' " ~
