%!PS

% A PostScript Heap Sort #32======================================================================
% by  Don Lancaster

/ggnum 32 store

%  Copyright c 2003 by Don Lancaster & Synergetics, Box 809, Thatcher, AZ, 85552
%  (928) 428-4073 Email: don@tinaja.com Website: http://www.tinaja.com
%  Consulting services available http://www.tinaja.com/info01.html
%  Linking welcome. Reposting expressly forbidden. 

%  All commercial rights and all electronic media rights ~fully~ reserved.
%  Linking usually welcome. Reposting expressly forbidden. Version 1.1 

%  Tutorial shows how to use log file analysis utilities for custom purposes
%  including detecting eBay image theft.

%  IMPORTANT NOTE: Don Lancaster's file gonzo.ps is required for this program.
%  After obvious location mods, uncomment ONE of the following two lines:

   (C:\\windows\\desktop\\gonzo\\gonzo.ps) run  % use internal gonzo
%  (A:\\gonzo.ps) run  % use external gonzo

%  NOTE THAT ALL PS FILENAME STRINGS !!!DEMAND!!! DOUBLE REVERSE SLASHES.

%  GONZO20A Guru Gonzo PostScript power tools (Interim release)
%  Includes gonzo justification and layout utilities.

%  Copyright c 1990, 1996, 2001 by Don Lancaster and Synergetics, Box 809,
%  Thatcher Arizona, 5552 (928) 428-4073  don@tinaja.com  support
%  via http://www.tinaja.com  All commercial rights and all electronic
%  media rights **FULLY** reserved. Reposting is expressly forbidden.


%%%%%%%%%%% links menu directory %%%%%%%%%%%%

% This code locks pdfmark commands out of a PostScript printer.

/pdfmark where {pop}{userdict /pdfmark /cleartomark load put} ifelse

% /surl "start url" marks the beginning of a text sequence to be urled. 
% It also paints the text blue...

/surl {mark /blue cvx 0.33 /setgray cvx     % change text to blue
       /currentpoint cvx                    % remember box start
       /urly /exch cvx /store cvx
       /urlx /exch cvx /store cvx
         ] cvx                              % complete deferred command

       printlist exch 3 index exch put      % stuff into gonzo printlist
       exch 1 add exch                      % increment gonzo list count
} def

% /eurl "end url" unmarks the end of a text sequence and sets up
% the pdfmark needed to define the Acrobat web link. 

/eurl {mark                               % start deferred proc      
       exch                               % position url string
       % /black cvx 0  /setgray cvx         % turn blue marker off 
       % maintextcolor /setrgbcolor  cvx    % reset to main text color???

       /aqua cvx /black cvx
       /makeurl cvx                       % defer call of url builder
        ] cvx                             % complete deferred proc

        printlist exch 3 index exch       % stuff into gonzo printlist
        put exch 1 add exch               % increment gonzo list count      
        } def


% /makeurl generates the pdfmark, receiving a {(urlstring) makeurl}.
% Note that it is not called until formatted printlist time...

/urlover 0.2 def                    % fraction of hot area over bounds

/makeurl { /cururlname exch store          % save the url string
            mark                           % start pdfmark

currentfont /ScaleMatrix get 3 get /fsize exch store  % guess height

  /Rect  [ urlx fsize urlover mul sub      % set box left x
           urly fsize urlover mul sub      % set box left y
           currentpoint
           exch fsize urlover mul add exch
           fsize add
           ]
           /Border [ 0 0 0]   % [0 0 0 ] = none; [0 0 2] = debug 
           /Color [ .7 0 0 ]
           /Action <</Subtype /URI /URI cururlname>>
           /Subtype /Link
           /ANN                            % annotation type
           pdfmark                        % call pdf operators    
} def

% /makeurlx generates the box specific pdfmark, receiving 
% a {(urlstring) makeurl}.
% Note that it is not called until formatted printlist time...


/makeurlx { /cururlnamex exch store        % save the url string
            mark                           % start pdfmark

  /Rect  [ xpos                            % set box left x
           ypos 0.9 sub                    % set box left y
           xpos 2.8 add                    % box right x
           ypos 0.9 sub 2.8 add            % box right y
           ]
           /Border [ 0 0 0]   % [0 0 0 ] = none; [0 0 2] = debug 
           /Color [ .7 0 0 ]
           /Action <</Subtype /URI /URI cururlnamex>>
           /Subtype /Link
           /ANN                            % annotation type
           pdfmark                        % call pdf operators    
} def


/maintextcolor {0 0 0 } def

% text link specific data  -- use dictionary instead below


{

/cubic01 {(http://www.tinaja.com/cubic01.asp) eurl} def
/hack62 {(http://www.tinaja.com/glib/hack62.pdf) eurl} def
/increment {(http://www.tinaja.com/text/bezgen3.html) eurl} def
/interpolate {(http://members.bellatlantic.net/~vze2vrva/design.html) eurl } def

/bezmath {(http://www.tinaja.com/text/bezmath.html) eurl } def

/table {(http://www.tinaja.com/psutils/imtable.psl) eurl } def



} pop

% dictionary method

<<    %zzzzz

%%%% unused links have been commented for gg9a simplicity

/heapps01 (http://www.tinaja.com/psutils/heapps01.psl)
/distlangpdf (http://www.tinaja.com/glib/distlang.pdf)
/strconv (http://www.tinaja.com/glib/strconv.pdf)
/fancysort (http://linux.wku.edu/~lamonml/algor/sort)
/presort (http://www.tinaja.com/psutils/presort1.psl)
/psnt (http://www.tinaja.com/glib/psnt.pdf) 
/insort (http://www.tinaja.com/psutils/insort.ps)
/bublsort (http://www.tinaja.com/psutils/bublsort.ps)
/oldstrconv (http://www.tinaja.com/psutils/strconv.html) 

/psdisk03 (http://www.tinaja.com/glib/psdisk03.pdf)
/muse01 (http://www.tinaja.com/muse01.asp)
/gonzopow (http://www.tinaja.com/glib/gonzopow.pdf)
/analogeb (http://www.tinaja.com/glib/analogeb.pdf)
/psdisk03 (http://www.tinaja.com/glib/psdisk03.pdf)
/flut01 (http://www.tinaja.com/flut01.asp)
/clpng (news:///comp.lang.postscript)
/ctpng (news:///comp.text.pdf)

/yahoo (http://www.yahoo.com)
/google (http://www.google.com)
/scodes (http://www.w3.org/Protocols/rfc2616/rfc2616-sec10.html)
/whois (http://www.networksolutions.com/en_US/whois/index.jhtml)
/zekes (http://www.zekes.com)
/logfileformat (http://www.microsoft.com/windows2000/en/server/iis/default.asp?url=/windows2000/en/server/iis/htm/core/iicnvlg.htm)
/logrpt01.psl (http://www.tinaja.com/psutils/logrpt01.psl)
/logrpt01.log (http://www.tinaja.com/psutils/logrpt01.log)
/ex031126 (http://www.tinaja.com/psutils/ex031126.log)


/picup01 (http://www.tinaja.com/picup01.asp)
/webwb01 (http://www.tinaja.com/webwb01.asp)
/muse90 (http://www.tinaja.com/glib/muse90.pdf)
/vismagsn (http://www.tinaja.com/glib/vismagsn.psl)
/optjit01 (http://www.tinaja.com/psutils/optjit01.psl)
/optjit01demo (http://www.tinaja.com/psutils/optjit01.pdf)
/qall01 (http://www.tinaja.com/psutils/qall01.psl)

/deltapat (http://www.tinaja.com/glib/deltapat.pdf)
/mindist1 (http://www.tinaja.com/glib/mindist1.pdf)
/deltams1 (http://www.tinaja.com/glib/deltams1.pdf)
/grabjpg (http://www.tinaja.com/psutils/grabjpg.psl)
/gallery (http://www.tinaja.com/glib/gallery.pdf)
/nutour01 (http://wwww.tinaja.com/nutour01.pdf)

/linkpdf1 (http://www.tinaja.com/glib/linkpdf1.html)

/ebayfoto (http://www.tinaja.com/glib/ebayfoto.pdf)
/jpeg2pdf.html (http://www.tinaja.com/text/jpeg2pdf.html)

/pdf2bmp (http://www.tinaja.com/psutils/pdf2bmp.psl)
/bitmfont (http://www.tinaja.com/psutils/bitmfont.txt)
/antifontpsl (http://www.tinaja.com/psutils/antifont.psl)
/antifonttxt (http://www.tinaja.com/psutils/antifont.txt)

/histog01 (http://www.tinaja.com/psutils/histog01.psl)
/swingtlt (http://www.tinaja.com/glib/swingtlt.pdf)
/newsamoe (news:///alt.marketing/online.ebay) 
/webtrends (http://www.netiq.com/webtrends/default.asp)
/stegan (http://63.140.207.28/books/bkwater.asp)
/nodi (http://www.pages.ebay.com/help/community/notice-infringe2.pdf)
/ebayvero (http://www.pages.ebay.com/help/community/vero-program.html)
/aboutme (http://members.ebay.com/aboutme/abeja/)
/magfill2 (http://www.tinaja.com/psutils/magfill2.psl)
/bmprpt01 (http://www.tinaja.com/psutils/bmprpt01.psl)
/waywere (http://www.tinaja.com/glib/waywere.pdf)

/nikon (http://www.nikon.com)
/bayer (http://www.coreco.com/Web/wbtools3.nsf/0/87fce126f109ea3a05256c7100591c9a?OpenDocument) 

/hewpack (http://www.hp.com)
/auct01 (http://www.tinaja.com/auct01.asp)
/blat01 (http://www.tinaja.com/auct01.asp)
/moreebay (http://www.tinaja.com/glib/moreebay.pdf)
/auctscne (http://www.tinaja.com/glib/auctscne.pdf)






/autourl (http://www.tinaja.com/glib/autourl.pdf)
/msintro1 (http://www.tinaja.com/glib/msintro1.pdf)
/msintrosource (http://www.tinaja.com/glib/msintro1.psl) 
/knockout (http://www.tinaja.com/glib/knockout.bmp) 

/stepsynt (http://www.tinaja.com/glib/stepsynt.pdf)
/msintro1 (http://www.tinaja.com/glib/msintro1.pdf)
/msinprop (http://www.tinaja.com/glib/msinprop.pdf)

/muse106 (http://www.tinaja.com/glib/muse106.pdf)
/muse142 (http://www.tinaja.com/glib/muse142.pdf)
/math01 (http://www.tinaja.com/math01.asp)
/cubic01 (http://www.tinaja.com/cubic01.asp)
/bez4pts (http://www.tinaja.com/glib/bez4pts.pdf)
/muse145 (http://www.tinaja.com/glib/muse145.pdf)
/muse148 (http://www.tinaja.com/glib/muse148.pdf)
/curveft3 (http://www.tinaja.com/psutils/curveft3.psl)
/fuzzybez (http://www.tinaja.com/glib/fuzzybez.pdf)

/bmprpt01 (http://www.tinaja.com/psutils/bmprpt01.psl)
/nowhit01 (http://www.tinaja.com/psutils/nowhit01.psl)
/blender (http://www.tinaja.com/psutils/blender.psl)
/speedup2 (http://www.tinaja.com/glib/speedup2.pdf)
/histog01 (http://www.tinaja.com/psutils/histog01.psl)
/imgviewer32 (http://www.arcatapet.net/imgv32.cfm)
/basis (http://www.tinaja.com/glib/basis.pdf)
/expbmp (http://www.tinaja.com/glib/expbmp.pdf)
/dodbur01 (http://www.tinaja.com/psutils/dodbur01.psl)
/dodgebur (http://www.tinaja.com/glib/dodgebur.pdf) 

/magfill1 (http://www.tinaja.com/psutils/magfill1.psl)
/swingt01 (http://www.tinaja.com/psutils/swingt01.psl)

/before01 (http://www.tinaja.com/images/bargs/marcon01.jpg)
/during01 (http://www.tinaja.com/images/bargs/marcon01.bmp)
/after01 (http://www.tinaja.com/images/bargs/marconz1.jpg)
/repobmp (http://www.tinaja.com/glib/repobmp.pdf)
/basis01 (http://www.tinaja.com/glib/basis.pdf)

/arcata (http://www.arcatapet.net/imgv32.cfm) 


/comparebmp (http://www.designer-info.com/Writing/bmp_tiff_jpeg_gif.htm)
/imagimag (http://www.tinaja.com/glib/imagimag.pdf)
/myebays (http://www.tinaja.com/glib/myebays.pdf)
/stepprep (http://www.tinaja.com/glib/stepprep.pdf)
/aafont01 (http://www.tinaja.com/aafont01.asp)

/here1 (http://village.infoweb.ne.jp/~fwhw1257/study/bmpform.htm)
/here2 (http://www.daubnet.com/formats/BMP.html)

/bittype (http://www.tinaja.com/psutils/pdf2bmp.psl)
/photocombine (http://www.tinaja.com/psutils/blender.psl)

/psl (http://www.tinaja.com/psutils/) % dummy temp

/psl1 (http://www.tinaja.com/psutils/pdf2bmp.psl) 
/psl2 (http://www.tinaja.com/psutils/acatdata.psl) 
/psl3 (http://www.tinaja.com/psutils/catwords.psl) 
/psl4 (http://www.tinaja.com/psutils/graburls.psl) 
/psl5 (http://www.tinaja.com/psutils/blender.psl) 
/psl6 (http://www.tinaja.com/psutils/catools1.psl) 
/psl7 (http://www.tinaja.com/psutils/strconv.html) 
/psl8 (http://www.tinaja.com/psutils/bodcat.psl) 
/psl9 (http://www.tinaja.com/psutils/flatvue1.psl) 
/psl10 (http://www.tinaja.com/psutils/fern2img.psl) 
/psl11 (http://www.tinaja.com/psutils/flutools.psl) 
/psl12 (http://www.tinaja.com/psutils/mscal156q.psl) 
/psl13 (http://www.tinaja.com/psutils/weblogu2.psl) 
/psl14 (http://www.tinaja.com/psutils/pfa2pfb.psl) 
/psl15 (http://www.tinaja.com/psutils/pfb2pfa.psl) 
/psl16 (http://www.tinaja.com/glib/psdisk03.psl) 
/psl17 (http://www.tinaja.com/psutils/disktool.psl) 
/psl18 (http://www.tinaja.com/glib/psinscrt.psl) 
/psl19 (http://www.tinaja.com/glib/pssearch.psl) 
/psl20 (http://www.tinaja.com/text/refsum1.html)
/psl21 (http://www.tinaja.com/text/reflog1.html) 
/psl22 (http://www.tinaja.com/psutils/reflog1.psl) 
/psl23 (http://www.tinaja.com/psutils/refsum1.psl) 
/psl24 (http://www.tinaja.com/psutils/searepl.psl) 
/psl25 (http://www.tinaja.com/psutils/weberru2.psl) 
/psl26 (http://www.tinaja.com/psutils/grabsrch.psl) 
/psl27 (http://www.tinaja.com/psutils/grabrefs.psl) 



/magsn01 (http://www.tinaja.com/magsn01.asp)

/gonzoutils (http://www.tinaja.com/post01.asp#gonzo)
/disktool (http://www.tinaja.com/psutils/disktool.ps)

/elesimp (http://www.tinaja.com/glib/elesimp.pdf)
/tn5603 (http://partners.adobe.com/asn/developer/pdfs/tn/TN5603.Filters.pdf)

/fern2img (http://www.tinaja.com/psutils/fern2img.psl)
/fern     (http://www.tinaja.com/psutils/fern2img.pdf)
/oldfern  (http://www.tinaja.com/psutils/fernx1.pdf) 

/acrosdk (http://partners.adobe.com/asn/developer/acrosdk/main.html)


/refman2 (http://partners.adobe.com/asn/developer/pdfs/tn/psrefman.pdf)
/refman3 (http://partners.adobe.com/asn/developer/pdfs/tn/PLRM.pdf)

/s3011 (http://partners.adobe.com/asn/developer/pdfs/tn/PS3010and3011.Supplement.pdf)

/s2011 (http://ftp.ktug.or.kr/obsolete/info/adobe/devtechnotes/pdffiles/ps2011.supplement.pdf)
/s2012
(http://ftp.ktug.or.kr/obsolete/info/adobe/devtechnotes/pdffiles/ps2012.supplement.pdf)
/s2013
(http://ftp.ktug.or.kr/obsolete/info/adobe/devtechnotes/pdffiles/ps2013.supplement.pdf)
/s2014
(http://ftp.ktug.or.kr/obsolete/info/adobe/devtechnotes/pdffiles/ps2014.supplement.pdf)
/s2015
(http://ftp.ktug.or.kr/obsolete/info/adobe/devtechnotes/pdffiles/ps2015.supplement.pdf)
/s2016
(http://ftp.ktug.or.kr/obsolete/info/adobe/devtechnotes/pdffiles/ps2016.supplement.pdf)


/ghost (http://www.cs.wisc.edu/~ghost/)
/distlang (http://www.tinaja.com/psutils/distlang.html)

/adobepst (http://partners.adobe.com/asn/developer/technotes/)


/maildon (mailto:don@tinaja.com)
/tinaja (http://www.tinaja.com)
/adobe (http://www.adobe.com)
/adobesdk (http://partners.adobe.com/asn/developer/acrosdk/main.html)
/pstrans (http://www.tinaja.com/glib/pstrans.pdf)
/borland (http://www.borland.com/products/downloads/download_cbuilder.html)
/ebay
(http://cgi6.ebay.com/ws/eBayISAPI.dll?ViewSellersOtherItems&userid=abeja&completed=0&sort=2&since=-1&include=0&page=1&rows=100)

/searepl (http://www.tinaja.com/psutils/searepl.psl)




/aasdk (http://www.tinaja.com/plugins/AboutAcrobatSDK.api)
/uncomp (http://www.tinaja.com/plugins/UncompressPDF.api)
/addimage (http://www.tinaja.com/plugins/AddImage.api)
/samplejpg (http://www.tinaja.com/plugins/sample.jpg)
/transparency (http://www.tinaja.com/plugins/Transparency.api)
/threerects (http://www.tinaja.com/plugins/threerects.pdf)
/watermark (http://www.tinaja.com/plugins/Watermark.api)
/verifyurls (http://www.tinaja.com/plugins/VerifyURLS.api)


/flate (http://www.tinaja.com/glib/flatvue.pdf)
/pstrans (http://www.tinaja.com/glib/pstrans.pdf)

/advt01 (http://www.tinaja.com/advt01.asp)
/amlink01 (http://www.tinaja.com/amlink01.asp)
/ng1 (news:///comp.text.pdf)  
/ng2 (news:///comp.lang.postscript)  

/msc++ (http://msdn.microsoft.com/visualc/productinfo/default.asp)

/degub (http://www.tinaja.com/glib/degub.pdf)



/ghostscript (http://www.artifex.com/pressreleases/GS70.htm)


/demox.psl  (http://www.tinaja.com/glib/g9demox.psl)
/demox.pdf  (http://www.tinaja.com/glib/g9demox.pdf)
/demo.pdf   (http://www.tinaja.com/glib/g9demo.pdf)
/flatvue (http://www.tinaja.com/glib/flatvue.psl)

/pdfrefman (http://partners.adobe.com/asn/developer/acrosdk/docs.html)

/psrefman 
(http://partners.adobe.com/asn/developer/technotes/postscript.html)

/pdfmrm
(http://partners.adobe.com/asn/developer/acrosdk/docs.html)

/tipdf
(http://partners.adobe.com/asn/developer/acrosdk/docs.html)

/asdk 
(http://partners.adobe.com/asn/developer/acrosdk)
          
/mtcr (http://support.adobe.com/devsup/devsup.nsf/docs/51864.htm)

/flatvue1 (http://www.tinaja.com/psutils/flatvue1.psl)
/acrob01 (http://www.tinaja.com/acrob01.asp)
/post01 (http://www.tinaja.com/post01.asp)
/info01 (http://www.tinaja.com/info01.asp)
/gurgrm01 (http://www.tinaja.com/gurgrm01.asp)


{

/tilley (http://www.tilleyfoundation.com)
/mnglobal (http://www.mnglobal.com/energy/pg2.htm)
/keely (http://www.keelynet.com)
/evolve (http://www.evolvedtechnology.com)
/hack64 (http://www.tinaja.com/glib/hack64.pdf)
/hackar3 (http://www.tinaja.com/glib/hackar3.pdf)
/resbn58 (http://www.tinaja.com/glib/resbn58.pdf)
/bppt (http://www.batterypoweronline.com)
/muse112 (http://www.tinaja.com/glib/muse112.pdf)
/muse113 (http://www.tinaja.com/glib/muse113.pdf)
/energfun (http://www.tinaja.com/glib/energfun.pdf)
/bashpseu (http://www.tinaja.com/glib/bashpseu.pdf)


/adobe (http://www.adobe.com)
/netscape (http://www.netscape.com)

/gallypsl (http://www.tinaja.com/galley1.psl)
/gallypdf (http://www.tinaja.com/galley1.pdf)

/atn5150 (http://partners.adobe.com/asn/developer/acrosdk/docs/createpdfapi/pdfmarkReference.pdf)

/nutour (http://www.tinaja.com/bargains/nutour02.pdf)
/nutoursource (http://www.tinaja.com/bargains/nutour02.psl) 

/bwhistle (http://www.tinaja.com/glib/bwhistle.pdf) 

/gonzo1 (http://www.tinaja.com/post01.asp#gonzo)


/barg01 (http://www.tinaja.com/barg01.asp)
/weblib01 (http://www.tinaja.com/weblib01.asp)
/gurgrm01 (http://www.tinaja.com/gurgrm01.asp)


/z1 (http://www.tinaja.com/bargains/thumb/albradz2.jpg)
/z2 (http://www.tinaja.com/bargains/sbtesteq.asp)
/z3 (http://www.tinaja.com/images/bargs/albrad02.jpg)

/z4 (http://www.tinaja.com/bargains/thumb/tutenaz2.jpg)
/z5 (http://www.tinaja.com/bargains/sbphone.asp)
/z6 (http://www.tinaja.com/images/bargs/tutena02.jpg)

/sourceme (http://www.tinaja.com/glib/gallery.psl)
/sourceme2 (http://www.tinaja.com/glib/autourl.psl)

} pop



>> {mark exch /eurl cvx ] cvx def} forall





%%%%%%%%%%%%%%%% New colorizer patches %%%%%%%%%%%%%%%%%%
 

 
/boxgrays 0.899 def
/grayshade boxgrays def
/mastergray boxgrays def
/staytint {0.33 setgray} def
/staytint1 {0.25 setgray} def
/showadgrays true def

/red {0 settint} def

 /Zmacro {staytint /ypos ypos 2 add def 72 300 div setlinewidth xpos 
ypos moveto
txtwide 0 rlineto stroke /ypos ypos -2 add def tintoff} def  % hair rule
 
 /amacro {(zy0)  stringmacro /ypos
  ypos ypara add def  0.33 setgray } def             % start drop cap
 /bmacro {(iFy1) stringmacro /ypos
  ypos ypara add def  black} def             % finish drop cap
 

 
% Gonzo character colorizer

/blueon {mark /blue cvx 0.33 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def

/blueoff {mark /beige cvx 0  /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def

/tinton {mark 0.33 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def

/tinton1 {mark 0.25 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def


/tinton1b {mark beige cvx     % try for aqua after url???

 0.25 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def

/tinton1a {mark /aqua cvx     % try for aqua after url???

 0.25 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def

/tinton1p {mark /burple cvx     % try for aqua after url???

 0.25 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def

/tinton1r {mark /red cvx     % try for aqua after url???

 0.25 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def

/tinton1a {mark /aqua cvx     % try for aqua after url???

 0.25 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def





/tinton1b {mark /beige cvx     % try for beige after url???

 0.25 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def





/tintoff {mark 0 /setgray cvx] cvx
        printlist exch 3 index exch put exch 1 add exch} def


%%%%%%%%%%%%%% COMPACT  VERSION OF  COLORIZER II %%%%%%%%%%%%%%%%%%%%%%

/settint {dup /currenttint exch store 5.999 mul dup floor cvi /&cbar
          exch store dup floor sub /&cwt exch store [
{/setgray [ /dup cvx 0.3 &cwt 0.59 mul add /ge cvx
 [1 /exch cvx &cwt 0.59 mul 0.30 add /sub cvx 1 &cwt sub
 0.59 mul 0.11 add /div cvx /dup cvx 1 &cwt sub /mul cvx
 &cwt /add cvx /exch cvx ] cvx [ &cwt 0.59 mul 0.3 add /div
 cvx /dup cvx &cwt /mul cvx 0] cvx /ifelse cvx /setrgbcolor
 cvx] cvx /def cvx}
{/setgray [/dup cvx 0.59 1 &cwt sub 0.3 mul add /ge cvx
 [1 &cwt sub 0.3 mul 0.59 add /sub cvx &cwt 0.3 mul 0.11 add
 /div cvx /dup cvx &cwt /mul cvx 1 &cwt sub /add cvx /exch cvx
 1 /exch cvx] cvx [1 &cwt sub 0.3 mul 0.59 add /div cvx /dup
 cvx 1 &cwt sub /mul cvx /exch cvx 0] cvx /ifelse cvx
 /setrgbcolor cvx] cvx /def cvx}
{/setgray [/dup cvx 0.59 &cwt 0.11 mul add /ge cvx [&cwt
 0.11 mul 0.59 add /sub cvx 1 &cwt sub 0.11 mul 0.30 add
 /div cvx /dup cvx 1 &cwt sub /mul cvx &cwt /add cvx 1 /exch
 cvx] cvx [0 /exch cvx &cwt 0.11 mul 0.59 add /div cvx /dup cvx
 &cwt /mul cvx] cvx /ifelse cvx /setrgbcolor cvx] cvx
 /def cvx}
{/setgray [/dup cvx 0.59 1 &cwt sub mul 0.11 add /ge cvx [1 &cwt
 sub 0.59 mul 0.11 add /sub cvx &cwt 0.59 mul 0.30 add /div cvx
 /dup cvx &cwt /mul cvx 1 &cwt sub /add cvx 1] cvx [0 /exch cvx
 1 &cwt sub 0.59 mul 0.11 add /div cvx /dup cvx 1 &cwt sub /mul
 cvx /exch cvx] cvx /ifelse cvx /setrgbcolor cvx] cvx
/def cvx}
{/setgray [/dup cvx 0.11 &cwt 0.30 mul add /ge cvx[&cwt 0.30 mul
 0.11 add /sub cvx 1 &cwt sub 0.30 mul 0.59 add /div cvx /dup
 cvx 1 &cwt sub /mul cvx &cwt /add cvx /exch cvx 1] cvx [ &cwt
 0.30 mul 0.11 add /div cvx /dup cvx &cwt /mul cvx /exch cvx 0
 /exch cvx ] cvx /ifelse cvx /setrgbcolor cvx ] cvx /def cvx}
{/setgray [ /dup cvx 0.30 1 &cwt sub 0.11 mul add /ge cvx[ 1
 /exch cvx 1 &cwt sub 0.11 mul 0.30 add /sub cvx &cwt 0.11 mul
 0.59 add /div cvx /dup cvx &cwt /mul cvx 1 &cwt sub /add cvx
 ] cvx [ 1 &cwt sub 0.11 mul 0.30 add /div cvx /dup cvx
 1 &cwt sub /mul cvx 0 /exch cvx] cvx /ifelse cvx /setrgbcolor
 cvx ] cvx /def cvx}

] &cbar get exec exec} bind def

/beige  {0.10 settint} def      % examples of convenience operators
/aqua   {0.52 settint} def
/blue    {0.67 settint} def
/lime     {0.44 settint} def
/burple {0.75 settint} def

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





/guru { gonzo begin
ps.util.1 begin printerror nuisance begin} def  % 

guru                                           % activate gonzo utilities


50 50 10 setgrid                               % create grid
% 56 61 showgrid  

/setpagefonts {

/cstretch 0.015 def
/sstretch 0.015 def
/font0 /StoneSans-Bold 1.6 gonzofont
/font1 /StoneSans 0.95 gonzofont
/font2 /StoneSans [0.95 0 0.25 0.95 0 0 ] gonzofont
/font4 /StoneSans 0.85 gonzofont
/font3 /StoneSans-Bold 0.85 gonzofont
/font6 /StoneSans-Bold 0.85 gonzofont
/font7 /StoneSans-Bold 1.05 gonzofont   % subheaders

/font8 /StoneSans-Bold [0.65 0 0 0.65 0 0.4] gonzofont

/txtwide 36 store

/yinc 1.2 store
/kern 0.1 store

/pm 1.5 store



aqua 0.33 setgray
font1

black




/amacro { mark /aqua cvx 0.33 /setgray cvx ] cvx
        printlist exch 3 index exch       % stuff into gonzo printlist
        put exch 1 add exch  } def

/bmacro { mark /black cvx ] cvx
        printlist exch 3 index exch       % stuff into gonzo printlist
        put exch 1 add exch  } def

/shiftin {xpos /xposhold exch store /xpos xpos 3 add store} def

/shiftout {/xpos xposhold store} def

/texttop 51 store
/textleft 3 store


/cmacro {aqua 0.25 setgray (znhL7) stringmacro

/xpos xpos 1.7 sub store

/ypos ypos .1 sub def

} def   % left title


/dmacro {black (pL1hz)  stringmacro

/xpos xpos 1.7 add store

/ypos ypos .1 add def} def       % normal text after centered title




/fmacro  % try and fake |
      {mark /gsave cvx 
         /currentpoint cvx
         /moveto cvx
         0.1 /setlinewidth cvx
         0 0.65 /rlineto cvx  /stroke cvx
         /grestore cvx
         ] cvx

       printlist exch 3 index exch put      % stuff into gonzo printlist
       exch 1 add exch                      % increment gonzo list count
} def


} def

setpagefonts

% -2 50.5 (optional header here \274) cl

%% Set document opening conventions. Note DOCVIEW limited.

[/CropBox [0 0 520 620]       % set the wierd size
/PAGES pdfmark 

[ {Catalog} <<
 /ViewerPreferences << /FitWindow true /CenterWindow true >>
 /PageLayout /OneColumn            % continous
 /Pagemode /UseNone                % no thumbs
 /View [/XYZ null null 1 ]         % force 100%
             >>
 /PUT pdfmark



%%%%%%%%%%%%%%%%% START DEMO ART   (not in use) %%%%%%%%%%%%%%%%


%%% Hand patching Info:

%  next available variable is /GS3 
%  transparency gstate is object 2
%  contents stream is object 18  gets  q /GS3 gs (xstuff) Q 
%  be sure to q Q bracket to localize
%  resources stream is object 19    gets  /GS3 2 0 R 


/transoverlay {

   % make a new graphics state
   [ /_objdef {newgsstate} /type /dict /OBJ pdfmark 

   % fill the new overlay graphics state - See PDF manual for details 
   [  {newgsstate}
          <<
            /Type /ExtGState 
            /ca 0.5                % fill transparency is 0.5
            /CA 0.5                % stroke transparency is 0.5
            /BM /Normal 
            /AIS false 
            /OP false 
            /OPM 1 
            /op true 
           >> /PUT

           pdfmark

    % start a Begin Picture graphics overlay subroutine...
    [ /BBox [0 0 1000 1000 ] /_objdef {overlaypix} /BP pdfmark

    % fill the Begin Picture graphics overlay Xobject subroutine...

          0 0.5 1 setrgbcolor     % on the aqua side of blue
          4 4 6 6 rectfill

    % complete the Begin Picture graphics overlay Xobject...
    [ /EP pdfmark

     } def


% Write a two squares program...

  /twosquares { gsave translate
                1 0.5 0 setrgbcolor            % red side of orange
                2 2 6 6 rectfill               % do background opaque box

                [ {overlaypix} /SP pdfmark     % show foreground transparent box

                grestore} def


%  Distill the two squares program. Initially use a BARE Distiller Job
%  Options that has no compression, no embedded fonts, and little else 


save /snap1 exch store
  
%%%  transoverlay                          % create new objects
%%%  14 17.5 twosquares
  
 snap1 restore

%%%%%%%%%%%% END DEMO %%%%%%%



%%%%%%%%%%%% PHOTO INSERTS %%%%%%%%%%

% When photos are needed, they are inserted here. Comment out otherwise.

%%%%%%%%% photo links %%%%%%%%%

% combined autopos jpeg conversion and hotlink:

/autofigure1 {save /af1 exch store  xpos ypos yinc add translate
              6 0.65 923 526 .025      % xpos ypos xres yres pixscale
              (http://www.tinaja.com/images/bargs/flu84501.jpg)   % url first
              (C:\\windows\\desktop\\aaraw_pix\\flu84501.jpg)
              jpegimageprocwithlink
              af1 restore} store

/autofigure2 {save /af2 exch store  xpos ypos yinc add translate
              8.5 -2 790 672  .020     % xpos ypos xres yres pixscale
              (http://www.tinaja.com/images/bargs/tek40841.jpg)   % url first
              (C:\\windows\\desktop\\aaraw_pix\\tek40841.jpg)
              jpegimageprocwithlink
              af2 restore} store

/autofigure3 {save /af3 exch store  xpos ypos yinc add translate
              12 0.6 530 816  .018     % xpos ypos xres yres pixscale
              (http://www.tinaja.com/images/bargs/sencri01.jpg)   % url first
              (C:\\windows\\desktop\\aaraw_pix\\sencri01.jpg)
              jpegimageprocwithlink
              af3 restore} store

/autofigure4 {save /af4 exch store  xpos ypos yinc add translate
              12 -0.4 422 612  .024      % xpos ypos xres yres pixscale
              (http://www.tinaja.com/images/bargs/abspar01.jpg)   % url first
              (C:\\windows\\desktop\\aaraw_pix\\abspar01.jpg)
              jpegimageprocwithlink
              af4 restore} store



/jpegimageprocwithlink {   % hoffset voffset hres vres

save /snap2 exch def

/infilename exch store  % grab passed pix file
/inurllink exch store   % grab link filename
/photoscale exch store  
/vpixels exch store
/hpixels exch store
 translate  % adjust position for final figure ???

inurllink
setareaurl    % autolink sizing

     /DeviceRGB setcolorspace                %  pick color model

     0 0 translate                           %  set page position
     hpixels vpixels scale                   %  magnify unit square


     photoscale dup scale
 

     /infile infilename (r) file def         %  establish input read file

     /Data {infile /DCTDecode filter} def    %  define a data source

     <<                                      % start image dicationary
            /ImageType 1                     % always one
            /Width hpixels                   % JPEG width in pixels
            /Height vpixels                  % JPEG height in pixels
            /ImageMatrix [hpixels
                          0 0 
                          vpixels neg
                          0
                          vpixels ]  


            /DataSource Data           % proc to get filtered JPEG      
           /BitsPerComponent 8              % color resolution
            /Decode [0 1 0 1 0 1]            % per red book 4.10
            >>

     image                                   % call the image operator


ypos snap2 restore /ypos exch def
} def

/setareaurl {    % for auto include routine

          /cururlname exch store

           mark                           % start pdfmark
           /Rect  [ 0 0 

              hpixels photoscale mul 
              vpixels photoscale mul  
                  ]
           /Border [ 0 0 0]   % [0 0 0 ] = none; [0 0 2] = debug 
           /Color [ .7 0 0 ]
           /Action <</Subtype /URI /URI cururlname>>
           /Subtype /Link
           /ANN                            % annotation type
           pdfmark                        % call pdf operators  
 
} def


%%%%%%%%%%% data for quantization figures %%%%%%%


/raw 
[0.0198613 3.75812 0.0300583 0.968559 0.0400088 0.625545 0.0500071
0.473332 0.0598378 0.508493 0.0701048 0.618866 0.080067 0.574973
0.0900779 0.328987 0.0999211 0.358846 0.109939 0.13398 0.119912
0.183206 0.129936 0.374792 0.14006 0.286128 0.150091 0.206733
0.160075 0.190605 0.169949 0.196913 0.17999 0.136811 0.189984
0.223428 0.200178 0.130515 0.209919 0.279305 0.21986 0.179522
0.230087 0.167779 0.239816 0.127177 0.250051 0.18394 0.260079 0.22457
0.269779 0.120137 0.279989 0.142624 0.290027 0.124499 0.299737
0.111797 0.309994 0.123014 0.319982 0.268029 0.329976 0.207562
0.339971 0.0887317 0.349912 0.141557 0.359975 0.0943557 0.369923
0.0895733 0.379933 0.198241 0.389968 0.204985 0.399985 0.107935
0.409949 0.0945179 0.419974 0.125101 0.429965 0.0976423 0.440214
0.0904647 0.449999 0.108261 0.459981 0.0657491 0.470024 0.206909
0.479727 0.0390659 0.489996 0.0464662 0.50005 0.208427 0.509765
0.0436721 0.520046 0.0589122 0.53008 0.0933284 0.540058 0.122129
0.550131 0.108932 0.55981 0.0608129 0.570111 0.0552627 0.579854
0.0621947 0.590107 0.139442 0.59986 0.0498109 0.610232 0.103161
0.619883 0.129033 0.630016 0.0849617 0.640199 0.0601919 0.649749
0.0799222 0.660031 0.0541167 0.669983 0.113527 0.679712 0.0480973
0.690061 0.089419 0.700078 0.107595 0.709859 0.0710718 0.720131
0.041575 0.730196 0.123105 0.740089 0.0584097 0.749848 0.0861482
0.75993 0.0515622 0.769942 0.0761598 0.779974 0.118253 0.789996
0.0481484 0.799986 0.0874933 0.809957 0.0973124 0.820064 0.0534035
0.830362 0.025697 0.83973 0.0399598 0.850034 0.049165 0.859829
0.0851767 0.869827 0.0404494 0.880229 0.0435597 0.889938 0.0723645
0.899933 0.0190775 0.910168 0.0616833 0.919942 0.0725692 0.929991
0.0399983 0.940013 0.102806 0.950018 0.0518368 0.960034 0.0318331
0.970059 0.0823362 0.980036 0.0436783 0.989837 0.0463608 1.00013
0.0562829
  ] def



/ex54 [

5.87906 19.9758 5.38078 23.2179 6.61461 22.45 6.48865 23.8991
7.79373 21.6975 7.66747 18.3412 7.16927 15.7147 7.0433 23.5588
7.89268 23.6885 6.44363 24.0582 6.31744 20.4902 5.81917 24.1383
7.16713 21.0382 6.66901 18.9723 6.54259 11.4618 6.04431 22.422
6.99837 23.9206 7.72186 17.6438 7.22366 19.559 7.0974 19.865 8.16101
21.0954 7.66296 21.6132 8.38593 23.3011 8.45734 21.8227 8.33099
20.4936 7.83295 23.6901 9.12148 21.6428 8.99521 24.1041 9.0123
22.5552 10.0761 24.016 9.94987 23.6423 9.4516 18.8 10.3011 18.3618
10.175 15.7533 9.67651 15.8403 10.7406 22.2248 11.2952 23.4363
8.38531 18.1067 9.44916 24.1021 8.95065 19.521 8.82462 16.3613
8.32649 22.8011 9.67415 22.9247 9.1758 23.1169 9.04961 18.7033
10.0041 21.3686 9.50554 20.3098 9.37965 23.1915 10.229 20.7535
9.73083 24.3928 10.7951 23.4553 10.6687 20.0753 10.1704 22.7069
10.9646 20.4496 10.8385 20.1683 11.4042 19.4907 12.0175 23.4256
11.5192 22.1005 12.5835 16.0818 12.4572 16.8864 11.9588 13.1062
12.809 19.7136 12.6826 18.5011 12.1842 20.9156 13.2483 19.5923
13.1218 24.0439 13.8034 21.8302 10.6676 23.761 10.8927 22.8588 11.957
21.8607 11.4587 19.2204 11.3322 17.3188 12.5117 19.7264 12.0132
20.9341 13.1763 23.3152 13.2472 20.7672 13.1206 23.1287 13.4724
23.3126 13.3461 23.9651 13.9117 18.537 13.8022 22.5502 14.2414
20.9416 14.4669 13.1742 13.1752 23.9257 13.6145 24.4108 13.8398
22.6699
    ] store



/ex54good [

6.54259 11.4618
11.9588 13.1062
14.4669 13.1742  

10.175 15.7533 
9.67651 15.8403 

10.0041 21.3686 
] store


/ex54orig [ 9.88396 24.4257 ] store

/ex54want [ 10 0 ] store











/shook [
0.00934937 1.51076 0.0210324 0.978672 0.0312886 0.477679 0.0406482
0.318167 0.0493669 0.337353 0.0617085 0.203131 0.0692016 0.259957
0.0798052 0.229666 0.0885358 0.271299 0.100559 0.1726 0.109939
0.13398 0.118677 0.119296 0.131049 0.187404 0.140698 0.134313
0.149444 0.129195 0.158846 0.106101 0.170589 0.0965049 0.179351
0.0914561 0.189653 0.129042 0.201417 0.0546426 0.210828 0.108576
0.218951 0.100261 0.230727 0.120773 0.241057 0.103841 0.24984
0.0973585 0.259094 0.114175 0.268537 0.0808775 0.281232 0.051974
0.289386 0.0641827 0.301193 0.0942731 0.310907 0.0954356 0.31907
0.0730116 0.330889 0.0677774 0.339699 0.0797174 0.350554 0.0727672
0.360616 0.0859002 0.369923 0.0895733 0.379679 0.0823565 0.391137
0.0758395 0.399965 0.0916116 0.411197 0.0716472 0.419389 0.052739
0.430883 0.0744991 0.441523 0.0643956 0.450642 0.0651337 0.461231
0.0500311 0.470357 0.0682797 0.479727 0.0390659 0.491163 0.0464662
0.500383 0.0701265 0.509765 0.0436721 0.520046 0.0589122 0.529436
0.0621049 0.540979 0.065531 0.549818 0.0659652 0.55981 0.0608129
0.570111 0.0552627 0.579854 0.0621947 0.589296 0.0497526 0.59986
0.0498109 0.610207 0.0454799 0.620493 0.0516502 0.630849 0.0588497
0.639051 0.034206 0.649639 0.0456603 0.660009 0.0522574 0.670628
0.0426991 0.679712 0.0480973 0.69034 0.0477716 0.699467 0.0308037
0.711012 0.0686215 0.720131 0.041575 0.729513 0.0498212 0.739846
0.0430787 0.750499 0.0405623 0.76086 0.0438831 0.770257 0.0497878
0.780553 0.0441616 0.789662 0.0457397 0.800267 0.0325654 0.809451
0.0440074 0.820078 0.0403837 0.830362 0.025697 0.840997 0.0332166
0.85014 0.0337785 0.860449 0.0360605 0.869889 0.015046 0.880467
0.0360463 0.890767 0.0317396 0.899933 0.0190775 0.910273 0.0316686
0.919661 0.0263476 0.929956 0.0388174 0.939357 0.032368 0.949701
0.027215 0.960034 0.0318331 0.970334 0.0351219 0.979745 0.0379512
0.990337 0.0386641 1.00065 0.0439439
   ] store





%%%%%%%%%%%%% ordinary tracking figures 

/figureoneauto {


 /figadvance 10 store

   save /snap2 exch store xpos 2 add ypos figadvance sub translate
   % /linestring 20000 string def 



   figure1
   snap2 restore 

   /ypos ypos figadvance sub yinc sub 

7 add  

store  % temp bug removal?
   
   } store


/figure1 {  


    


     /circproc {gsave 
                /arraynum exch store 
                /circvalue exch store 
                /circshade exch store translate

 newpath       


                0 0 0.8 0 360 arc
    

    /font1 /StoneSans-Bold 0.9 gonzofont
    /font2 /Helvetica-Bold 0.7 gonzofont

    gsave circshade setgray fill grestore

    line2 0.33 setgray stroke

    font1

 0 -0.3 circvalue cc  
   newpath
    black font2 



0 -1.5 arraynum cc 

 0 0 (              ) cc    % eliminate strange string reuse bug?


         grestore                 } store




 %  32 9 showgrid


line1 



[{0 0  mt 1 2 rlineto 1 -2 rlineto stroke} 4 8 ] xrpt
[{1 2 mt 2 2 rlineto 2 -2 rlineto stroke} 8 4 ] xrpt
[{3 4 mt 4 2 rlineto 4 -2 rlineto stroke} 16 2 ] xrpt
7 6 mt 8 2 rlineto 8 -2 rlineto stroke


{
[-null- (52)  (51) (41)  
 (50) (30) (31) (40)  
(21) (42) (10) (22) (02) (00) (20) (32) 

(01) (12) (11) (21)]
} pop


0 8 0.85 ( ) (00) circproc

15 8 0.7 (52)(01) circproc

7  6 0.7 (51) (02) circproc
23 6 0.7 (41) (03) circproc




3  4 0.75 (50) (04) circproc
11 4 0.75 (30) (05) circproc
19 4 0.75 (31) (06) circproc
27 4 0.75 (40) (07) circproc

1  2 0.75 (21) (08) circproc
5  2 0.75 (42) (09) circproc
9  2 0.75 (10) (10) circproc
13  2 0.75 (22) (11) circproc
17  2 0.75 (02) (12) circproc
21  2 0.75 (00) (13) circproc
25  2 0.75 (20) (14) circproc
29  2 0.75 (32) (15) circproc

0 -.3 0.75 (01) (16) circproc
2 -.3 0.75 (12) (17) circproc
4 -.3 0.75 (11) (18) circproc
6 -.3 0.75 (21) (19) circproc
8 -.3 0.85 ( ) (20) circproc
10 -.3 0.85 ( ) (21) circproc
12 -.3 0.85 ( ) (22) circproc
14 -.3 0.85 ( ) (23) circproc
16 -.3 0.85 ( ) (24) circproc
18 -.3 0.85 ( ) (25) circproc
20 -.3 0.85 ( ) (26) circproc
22 -.3 0.85 ( ) (27) circproc
24 -.3 0.85 ( ) (28) circproc
26 -.3 0.85 ( ) (29) circproc
28 -.3 0.85 ( ) (30) circproc
30 -.3 0.85 ( ) (31) circproc





 font2 0 5.85 ((reserved)) cc

26.5 7.6 (xx = array address)cc


 0 0 (                  ) cc  % get rid of string bug


  } store




/figuretwoauto { /figadvance 25 store

   save /snap2 exch store xpos 8 add ypos figadvance sub translate
   figure2
   snap2 restore 
   /ypos ypos figadvance sub yinc sub store
   } store


/figure2 {



0.50 settint



/font0 /StoneSans-Bold 6 gonzofont  font0



0 1 1 setrgbcolor

10 3 (54) cc


 20 25 showgrid

line3  0 1 1 setrgbcolor
[{-0.5 0 mt 20.5 r} 10 3] yrpt
[{0 -0.5 mt 25.5 u} 10 3] xrpt
0 25 mt 20 r

black

  
0 0 0 setrgbcolor

    0 2 ex54 length 2 sub  {/posn2 exch store
     ex54 posn2 get         
     ex54 posn2 1 add get   
     moveto dot} for

1 0 1 setrgbcolor



    0 2 ex54good length 2 sub  {/posn2 exch store
     ex54good posn2 get         
     ex54good posn2 1 add get   
     moveto dot} for



1 0.5 0 setrgbcolor
ex54want 0 get ex54want 1 get mt dot

1 0 0 setrgbcolor
ex54orig 0 get ex54orig 1 get mt dot



/font1 /StoneSans-Bold 0.9 gonzofont
font1

0.3 0.3 0.3 setrgbcolor

0 -1.5 (0.535) cc
10 -1.5 (0.540) cc
20 -1.5 (0.545) cc

-0.9 0 0.3 sub (0.00%) cr
-0.9 10 0.3 sub(0.05%) cr
-0.9 20 0.3 sub (0.10%) cr


% 11.55 18.2 (= raw quant) cl
% 11.55 17.2 (= best neighbor) cl


/font2 /StoneSans-Bold 1.1 gonzofont
font1

10 -2.7 (Amplitude) cc



gsave -5.2 10 translate 90 rotate
0 0 (Unfiltered  THD  2|j-|j22)cc
grestore 

/yinc 1.2 store

24.3 11.5  (Nearby\nquantized\nAmplitude 54\noptions) cc




      } store
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


/burpwide 29.5 store

/burplebox3 {save /burp1 exch store

xpos ypos translate -1 .2 mt 3.5 yinc mul .4 add pd burpwide pr 3.5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore

} def

/burplebox2 {save /burp1 exch store

xpos ypos translate -1 .2 mt 2.5 yinc mul .4 add pd burpwide pr 2.5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore

} def


/burplebox2.5 {save /burp1 exch store
xpos ypos translate -1 .2 mt 3 yinc mul .4 add pd burpwide pr 3 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def



/burplebox4 {save /burp1 exch store
xpos ypos translate -1 .2 mt 4.5 yinc mul .4 add pd burpwide pr 4.5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def



/burplebox4.5 {save /burp1 exch store
xpos ypos translate    
-1 .2 mt 5 yinc mul .4 add pd burpwide pr 5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def





/burplebox5w {save /burp1 exch store
xpos ypos translate


 -1 .2 mt 5.5 yinc mul .4 add pd burpwide pr 5.5 yinc mul .4 add pu closepath
0.9 setgray fill

true {special5 } if

 burp1 restore
} def



/burpcom {save /burpx exch store  /bht exch store
save /burp1 exch store
xpos ypos translate -1 .2 mt bht yinc mul .4 add pd burpwide pr bht yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore} store

/burpwidew 32 store


/burpcomw {save /burpx exch store  /bht exch store
save /burp1 exch store
xpos 1 sub ypos translate 0 .2 mt bht yinc mul .4 add pd burpwidew pr bht yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore} store



/burplebox3.5 {4 burpcom} store
/burplebox5 {5.5 burpcom} store
/burplebox5.5 {6 burpcom} store
/burplebox6 {6.5 burpcom} store
/burplebox6.5 {7 burpcom} store
/burplebox7 {7.5 burpcom} store
/burplebox7.5 {8 burpcom} store
/burplebox8 {8.5 burpcom} store
/burplebox8.5 {9 burpcom} store
/burplebox9 {9.5 burpcom} store
/burplebox9.5 {10 burpcom} store
/burplebox10 {10.5 burpcom} store
/burplebox11 {12 burpcom} store
/burplebox12 {12.5 burpcom} store
/burplebox12.5 {13 burpcom} store
/burplebox13 {13.5 burpcom} store
/burplebox13.5 {14 burpcom} store
/burplebox14 {14.5 burpcom} store
/burplebox14.5 {15 burpcom} store
/burplebox15{15.5 burpcom} store
/burplebox15.5{16 burpcom} store

/burplebox18 {18.5 burpcom} store
/burplebox18.5 {19 burpcom} store

/burplebox22{22.5 burpcom} store

/burplebox25.5{26 burpcom} store


/burplebox34 {34.5 burpcom} store
/burplebox34w{34.5 burpcomw} store
/burplebox34.5w{35 burpcomw} store
/burplebox38w{38.5 burpcomw} store
/burplebox38.5w{39 burpcomw} store
/burplebox40w{40.5 burpcomw} store
/burplebox40{40.5 burpcom} store

/burplebox42.5{43 burpcom} store  % nearly a full page


/burplebox17 {save /burp1 exch store
xpos ypos translate -1 .2 mt 17.5 yinc mul .4 add pd burpwide pr 17.5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def



/burplebox20 {save /burp1 exch store
xpos ypos translate -1 .2 mt 20.5 yinc mul .4 add pd burpwide pr 20.5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def

/burplebox23 {save /burp1 exch store
xpos ypos translate -1 .2 mt 23.5 yinc mul .4 add pd burpwide pr 23.5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def


/burplebox26.5 {save /burp1 exch store
xpos ypos translate -1 .2 mt 27 yinc mul .4 add pd burpwide pr 27 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def


/burplebox30 {save /burp1 exch store
xpos ypos translate -1 .2 mt 30.5 yinc mul .4 add pd burpwide pr 30.5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def



/burplebox36 {save /burp1 exch store
xpos ypos translate -1 .2 mt 36.5 yinc mul .4 add pd burpwide pr 36.5 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def

%%%%%%%%%%%  figure 1 routine

  % autopositions on box6

%%%%%%%%%%%%%%%%%%%%%%%%%%%%







%%%%%%%%%%%  TWO PATTERNS   %%%%%%%%%%%%%%

/ivoryrndcolor   [230 230 205 40] store  % random pattern colors [red blue green variance ]
/magentarndcolor [230 100 230 120]store


/makepatternstrings {
[230 210 190 80] buildpixels
magentarndcolor /accentpatstring exch store

ivoryrndcolor buildpixels
makeimagestring /bodypatstring exch store
                    } store




/burppatstrings {
ivoryrndcolor buildpixels
makeimagestring /bodypatstring exch store

magentarndcolor buildpixels
makeimagestring /accentpatstring exch store
                } store

/DeviceRGB setcolorspace                %  pick color model
/hpixels 50 store                       %  size of pattern image
/vpixels 50 store
/issize hpixels vpixels mul store

% makestring converts a stack top array into a string...
 
/makestring {dup length string dup /NullEncode filter     
3 -1 roll {1 index exch write} forall pop} def




% /buildpixels makes three nearby colors given [r b g texture] all 0-255 integers

/buildpixels {aload pop /texture exch store /b0 exch store /g0 exch store /r0 exch store 123 srand

/r1 r0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store
/g1 g0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store
/b1 b0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store

/r2 r0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store
/g2 g0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store
/b2 b0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store

/r3 r0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store
/g3 g0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store
/b3 b0 texture random texture 2 div sub add cvi 
dup 255 ge {pop 255}if  dup 0 lt {pop 0} if store
      } store

% /makeimagestring creates a sting usable for a pattern image

/makeimagestring {  12345 srand         % make repeatable

  /iarray mark issize { r1 g1 b1} repeat ] store  % fill all with color 1

  issize 2 div cvi { iarray  issize               % fill half with color 2              
  random 3 mul cvi  [ r2 g2 b2 ] 
  putinterval} repeat

  issize 2 div cvi { iarray  issize               % fill third with color 3 
  random 3 mul cvi  [ r3 g3 b3 ] 
  putinterval} repeat

  iarray makestring 
                 } store





% /rndimage shows the random string as a patternable image

/bodyrandimage { 

            gsave  5 dup scale

     <<                                      % start image dicationary
            /ImageType 1                     % always one
            /Width hpixels                   % width in pixels
            /Height vpixels                  % height in pixels
            /ImageMatrix [hpixels
                          0 0 
                          vpixels neg
                          0
                          vpixels ]  


            /DataSource bodypatstring        % proc to get string data     
            /BitsPerComponent 8              % color resolution
            /Decode [0 1 0 1 0 1]            % per red book 4.10
            >>

     image                                   % call the image 

grestore
} def




/accentrandimage { 

            gsave  5 dup scale

     <<                                      % start image dicationary
            /ImageType 1                     % always one
            /Width hpixels                   % width in pixels
            /Height vpixels                  % height in pixels
            /ImageMatrix [hpixels
                          0 0 
                          vpixels neg
                          0
                          vpixels ]  


            /DataSource accentpatstring        % proc to get string data     
            /BitsPerComponent 8              % color resolution
            /Decode [0 1 0 1 0 1]            % per red book 4.10
            >>

     image                                   % call the image 

grestore
} def





% using a separate pattern dictionary for each pattern...

/bodypatdict

<< /PatternType 1     % Tiling pattern
/PaintType 1          % Colored
/TilingType 1
/BBox [0 0 50 50]
/XStep 5
/YStep 5
/PaintProc { begin bodyrandimage end} 
>>   store


/accentpatdict

<< /PatternType 1     % Tiling pattern
/PaintType 1          % Colored
/TilingType 1
/BBox [0 0 50 50]
/XStep 5
/YStep 5
/PaintProc { begin accentrandimage end} 
>>   store


/burpbackmain { save /snapbb exch store


save /snapb exch store      % show the body background
bodypatdict 
matrix                  % Identity matrix
makepattern             % Instantiate the pattern
/bodypat exch def
4 0                              % for the actual slide size
12 8

/Pattern setcolorspace
bodypat setcolor rectfill    % Fill rectangle with pattern
snapb restore

4 0 12 8 line1 black rectstroke
 


save /snapy exch store      % show the accent
accentpatdict 
matrix                  % Identity matrix
makepattern             % Instantiate the pattern
/accentpat exch def
18.5 0 12 8
4 copy
/Pattern setcolorspace
accentpat setcolor rectfill    % Fill rectangle with pattern
snapy restore 
 
18.5 0 12 8 line1 black rectstroke

snapbb restore } store


/figure3 {save /snap3 exch store

translate 

% 34 8 showgrid

makepatternstrings

  burppatstrings
 % burpbackstrings
burpbackmain


  snap3 restore } store

%%%%%%%%%%%%%%% end figure3





%%%%%%%%%%%% first special plot


/special1code {


/a01 [ 
  11.98757334830098  % p1 delay
  0.02494857340377088  % p1 width
  11.96309297293453  % p2 delay
  0.04880748072357122  % p2 width
  11.940266741737353  % p3 delay
  0.07053366579209097  % p3 width
  11.920110003436285  % p4 delay
  0.08917718733052737  % p4 width
  11.903448622759931  % p5 delay
  0.10392320715383363  % p5 width
  11.890997400038934  % p6 delay
  0.1141272527930397  % p6 width
  11.883303463712295  % p7 delay
  0.11934332976518647  % p7 width
  5.940346750117669  % quadrant delay
   ] store    
/a10 [ 
  11.870255884662251  % p1 delay
  0.24926326067621396  % p1 width
  11.627261913532986  % p2 delay
  0.48772075225425126  % p2 width
  11.401006709297277  % p3 delay
  0.7050052291468631  % p3 width
  11.201126478014806  % p4 delay
  0.8916211348287959  % p4 width
  11.036121661040383  % p5 delay
  1.0393583630906704  % p5 width
  10.912994009526542  % p6 delay
  1.1416713778561558  % p6 width
  10.836964879593466  % p7 delay
  1.1939991529573461  % p7 width
  5.405629193521989  % quadrant delay
   ] store      




/a20 [ 
  11.730827315951456  % p1 delay
  0.4971341380973975  % p1 width
  11.247686685343746  % p2 delay
  0.9732376712143491  % p2 width
  10.798693242131715  % p3 delay
  1.407947044520391  % p3 width
  10.402477789378082  % p4 delay
  1.78228682672421  % p4 width
  10.075528131993294  % p5 delay
  2.079475909290011  % p5 width
  9.831551570148512  % p6 delay
  2.285806430413743  % p6 width
  9.680871958761386  % p7 delay
  2.391516582063389  % p7 width
  4.8149587039683155  % quadrant delay
   ] store    

/a30 [ 
  11.582072392748948  % p1 delay
  0.7421737945018947  % p1 width
  10.862633911787377  % p2 delay
  1.454218311923288  % p2 width
  10.194732255409651  % p3 delay
  2.106545777255711  % p3 width
  9.605233324537401  % p4 delay
  2.6708278536717955  % p4 width
  9.118304754762583  % p5 delay
  3.1210612368032926  % p5 width
  8.754459346379754  % p6 delay
  3.435090920436508  % p6 width
  8.529472562792705  % p7 delay
  3.5965061939786693  % p7 width
  4.226667363010421  % quadrant delay
   ] store   



/a40 [ 
  11.424050411047465  % p1 delay
  0.9828418379051129  % p1 width
  10.473248533619292  % p2 delay
  1.9280479848577236  % p2 width
  9.590640663430097  % p3 delay
  2.7980351182823426  % p3 width
  8.810545720192863  % p4 delay
  3.555566231331163  % p4 width
  8.164652806450142  % p5 delay
  4.164668715768244  % p5 width
  7.680713770893433  % p6 delay
  4.592711162444033  % p6 width
  7.380758970713202  % p7 delay
  4.813962276129942  % p7 width
  3.6395557969349425  % quadrant delay
   ] store  



/a50 [ 
  11.25647168216318  % p1 delay
  1.2174139856738683  % p1 width
  10.080431345631026  % p2 delay
  2.391612373063623  % p2 width
  8.987846411116894  % p3 delay
  3.4787553647023585  % p3 width
  8.01966536065963  % p4 delay
  4.433803253978574  % p4 width
  7.214999377113287  % p5 delay
  5.210430981795014  % p5 width
  6.609527274825396  % p6 delay
  5.762766698554145  % p6 width
  6.232831441964791  % p7 delay
  6.050997667516469  % p7 width
  3.0524467812417413  % quadrant delay
   ] store    

/a53 [ 
  11.204229246524123  % p1 delay
  1.2863028469519246  % p1 width
  9.962015674530373  % p2 delay
  2.528117843985992  % p2 width
  8.807469507353026  % p3 delay
  3.680145761308111  % p3 width
  7.783358489290968  % p4 delay
  4.695379940110421  % p4 width
  6.930993065963889  % p5 delay
  5.5244810879620445  % p5 width
  6.288586696196958  % p6 delay
  6.117000009644471  % p6 width
  5.888323429144677  % p7 delay
  6.427466502066167  % p7 width
  2.876129898966852  % quadrant delay
   ] store   

/a60 [ 
  11.078495962518918  % p1 delay
  1.4438411449625086  % p1 width
  9.684772040454877  % p2 delay
  2.840939034126027  % p2 width
  8.38774096372643  % p3 delay
  4.143446978421139  % p3 width
  7.234097294409224  % p4 delay
  5.300789342760972  % p4 width
  6.270187484640822  % p5 delay
  6.2573120579578045  % p5 width
  5.540415121300725  % p6 delay
  6.9509377594411745  % p6 width
  5.083782352079723  % p7 delay
  7.31917029639942  % p7 width
  2.4640721668002356  % quadrant delay
   ] store   

/a70 [ 
  10.888278735987464  % p1 delay
  1.6594599780251222  % p1 width
  9.286332677429444  % p2 delay
  3.270497867115676  % p2 width
  7.791694139706859  % p3 delay
  4.783840563470704  % p3 width
  6.455843532587245  % p4 delay
  6.147367771354908  % p4 width
  5.331869368850619  % p5 delay
  7.300805550943892  % p5 width
  4.473484564450537  % p6 delay
  8.165497800155037  % p6 width
  3.9315873351224724  % p7 delay
  8.640550109600042  % p7 width
  1.8728900051999772  % quadrant delay
   ] store    

/a80 [ 
  10.681702836852158  % p1 delay
  1.8602538062958054  % p1 width
  8.88398269670934  % p2 delay
  3.6714981402848607  % p2 width
  7.200946234572324  % p3 delay
  5.385275030570618  % p3 width
  5.687867904890517  % p4 delay
  6.9536645196485765  % p4 width
  4.403487202517624  % p5 delay
  8.324602905316311  % p5 width
  3.4104122823979494  % p6 delay
  9.417450259887687  % p6 width
  2.774084338047487  % p7 delay
  10.068107274017336  % p7 width
  1.2766645679914034  % quadrant delay
   ] store    




/a90 [ 
  10.447373907519674  % p1 delay
  2.038123534960869  % p1 width
  8.472609797490058  % p2 delay
  4.0258541900581655  % p2 width
  6.615791805649657  % p3 delay
  5.91534811864263  % p3 width
  4.935247854465985  % p4 delay
  7.666864442425741  % p4 width
  3.4934960493166684  % p5 delay
  9.260584158941057  % p5 width
  2.358772151850779  % p6 delay
  10.696787617357046  % p6 width
  1.6101420251774101  % p7 delay
  11.792019752288254  % p7 width
  0.6709845938560051  % quadrant delay
   ] store  

/a95 [ 
  10.307313139895288  % p1 delay
  2.111222840209404  % p1 width
  8.256837177571334  % p2 delay
  4.169598534647832  % p2 width
  6.323664766096179  % p3 delay
  6.124919743159786  % p3 width
  4.567759372280754  % p4 delay
  7.93736307227887  % p4 width
  3.052826978493542  % p5 delay
  9.604367560734132  % p5 width
  1.8471062124079367  % p6 delay
  11.250122874450298  % p6 width
  1.0294512420668695  % p7 delay
  13.056647531415762  % p7 width
  0.36079895429200803  % quadrant delay
   ] store    

/a96 [ 
  10.275153279505902  % p1 delay
  2.1233556309882146  % p1 width
  8.2115482104066  % p2 delay
  4.1930336081984905  % p2 width
  6.264803529331843  % p3 delay
  6.157765833137692  % p3 width
  4.495281237426013  % p4 delay
  7.976346292010689  % p4 width
  2.9669207635656676  % p5 delay
  9.646432050857882  % p5 width
  1.7477032094150075  % p6 delay
  11.320166050312238  % p6 width
  0.9148247359680965  % p7 delay
  13.409077457751365  % p7 width
  0.2975881111242984  % quadrant delay
   ] store  

/a97 [ 
  10.240457024341477  % p1 delay
  2.134077471317074  % p1 width
  8.164867772841955  % p2 delay
  4.213452442998779  % p2 width
  6.205523779081837  % p3 delay
  6.185452328837567  % p3 width
  4.423234605472523  % p4 delay
  8.006618220218015  % p4 width
  2.8821971876470442  % p5 delay
  9.672069264487952  % p5 width
  1.6500883956263123  % p6 delay
  11.355113654260407  % p6 width
  0.8016574526230471  % p7 delay
  13.831443290493283  % p7 width
  0.23374710975272705  % quadrant delay
   ] store  



/a98 [ 
  10.201940773921007  % p1 delay
  2.1427535621580062  % p1 width
  8.1160304405589  % p2 delay
  4.229503836724113  % p2 width
  6.145502859365315  % p3 delay
  6.205687104545131  % p3 width
  4.351688442224891  % p4 delay
  8.024338941005154  % p4 width
  2.7990882078968866  % p5 delay
  9.67371438320096  % p5 width
  1.555079224439453  % p6 delay
  11.330237907918856  % p6 width
  0.69116413541866  % p7 delay
  14.364207461243552  % p7 width
  0.169062719379113  % quadrant delay
   ] store 
   
/a99 [ 
  10.156863627959598  % p1 delay
  2.1480428640811766  % p1 width
  8.06339164056924  % p2 delay
  4.238341714779558  % p2 width
  6.0840316757476  % p3 delay
  6.213675963725404  % p3 width
  4.280754974385665  % p4 delay
  8.02161284750413  % p4 width
  2.718452103604484  % p5 delay
  9.636460505287125  % p5 width
  1.4642999953711353  % p6 delay
  11.197329413972475  % p6 width
  0.5860923925256714  % p7 delay
  15.087472750976061  % p7 width
  0.10317752951067405  % quadrant delay
   ] store  

/a100 [ 
  10.097664622565073  % p1 delay
  2.146284244870163  % p1 width
  8.002396397096308  % p2 delay
  4.23222417093767  % p2 width
  6.019120165289753  % p3 delay
  6.1964902984829  % p3 width
  4.21068681625524  % p4 delay
  7.977592739007122  % p4 width
  2.6425485752095525  % p5 delay
  9.523271990574841  % p5 width
  1.3819874635530311  % p6 delay
  10.855567612314722  % p6 width
  0.4941631819604595  % p7 delay
  16.184573443763554  % p7 width
  0.03542827811961047  % quadrant delay
   ] store   


/range 
[ (01) (10) (20) (30) (40) (50) (53) (60) (70) (80) (90) (95)(96)(97) (98)(99)(100) ]
store


/procit1 {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 13 get 2.5 mul lineto
} def


/procit2 {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 11 get 2.5 mul lineto
} def



/procit3 {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 9 get 2.5 mul lineto
} def


/procit4 {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 7 get 2.5 mul lineto
} def


/procit5 {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 5 get 2.5 mul lineto
} def

/procit6 {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 3 get 2.5 mul lineto
} def

/procit7 {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 1 get 2.5 mul lineto
} def



/procit1d {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 12 get 2.5 mul lineto
} def


/procit2d {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 10 get 2.5 mul lineto
} def



/procit3d {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 8 get 2.5 mul lineto
} def


/procit4d {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 6 get 2.5 mul lineto
} def


/procit5d {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 4 get 2.5 mul lineto
} def

/procit6d {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 2 get 2.5 mul lineto
} def

/procit7d {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 0 get 2.5 mul lineto
} def


/procit8d {  dup cvi  /curval exch store  (a)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 14 get 2.5 mul lineto
} def




% 40 100 10 setgrid
40 40 showgrid
line1 


0 30 mt range {procit7d} forall
40 0 lineto 0 0 lineto closepath
0 settint 0.8 setgray fill 

0 30 mt range {procit6d} forall
40 0 lineto 0 0 lineto closepath
0.1 settint 0.8 setgray fill 

0 30 mt range {procit5d} forall
40 0 lineto 0 0 lineto closepath
0.2 settint 0.8 setgray fill

0 30 mt range {procit4d} forall
40 0 lineto 0 0 lineto closepath
0.27 settint 0.8 setgray fill

0 30 mt range {procit3d} forall
40 0 lineto 0 0 lineto closepath
0.43 settint 0.8 setgray fill



0 30 mt range {procit2d} forall
40 0 lineto 0 0 lineto closepath
0.5 settint 0.8 setgray fill

0 30 mt range {procit1d} forall
40 0 lineto 0 0 lineto closepath
0.6 settint 0.8 setgray fill



0 15 mt range {procit8d} forall
40 0 lineto 0 0 lineto closepath
0.7 settint 0.8 setgray fill 







0 0 mt range {procit1} forall
40 0 lineto closepath
0.6 settint 0.6 setgray fill 

0 0 mt range {procit2} forall
40 0 lineto closepath
0.5 settint 0.6 setgray fill

0 0 mt range {procit3} forall
40 0 lineto closepath
0.43 settint 0.6 setgray fill 

0 0 mt range {procit4} forall
40 0 lineto closepath
0.27 settint 0.6 setgray fill 

0 0 mt range {procit5} forall
40 0 lineto closepath
0.2 settint 0.6 setgray fill 


0 0 mt range {procit6} forall
40 0 lineto closepath
0.1 settint 0.6 setgray fill 


0 0 mt range {procit7} forall
40 0 lineto closepath
0 settint 0.6 setgray fill 







black

0 0 mt 
range {procit1} forall
stroke

0 0 mt 
range {procit2} forall
stroke

0 0 mt 
range {procit3} forall
 stroke 

0 0 mt 
range {procit4} forall
 stroke 

0 0 mt 
range {procit5} forall
 stroke 

0 0 mt 
range {procit6} forall
 stroke 

0 0 mt 
range {procit7} forall
 stroke 






0 30 mt 
range {procit1d} forall

0 30 mt 
range {procit2d} forall

0 30 mt 
range {procit3d} forall
 stroke 

0 30 mt 
range {procit4d} forall
 stroke 

0 30 mt 
range {procit5d} forall
 stroke 

0 30 mt 
range {procit6d} forall
 stroke 

0 30 mt 
range {procit7d} forall
 stroke 

0 15 mt 
range {procit8d} forall
 stroke 


0.3 0.3 0.3 setrgbcolor line3 1 setlinecap 1 setlinejoin

0 0 mt 40 u 40 r 40 d 40 l
[{ 0 0 mt 0.4 l} 10 5 ] yrpt
[{ 40 0 mt 0.4 r} 10 5 ] yrpt
[{ 0 0 mt 0.4 d} 10 5 ] xrpt
[{ 0 40 mt 0.4 u} 10 5 ] xrpt

/cstretch 0.02 store
/sstretch 0 store
/font0 /StoneSans-Bold 1.5 gonzofont
/font1 /StoneSans-Bold 1.2 gonzofont
/font2 /StoneSans-Bold 1 gonzofont
/font: /StoneSans-Bold [0.6 0 0 0.6 0 0.6] gonzofont
/font; /StoneSans-Bold [1.5 0 0 1.5 0 0.2] gonzofont
/yinc 2 store
font0

20 43.7 (BEST  EFFICIENCY  N |;=|0 28\nMAGIC  SINEWAVE) cc





font1
/yinc 1.5 store

0 -2.2 (0.0) cc
20 -2.2 (0.5) cc
40 -2.2 (1.0)cc

20 -4.3 (AMPLITUDE) cc

41 -0.5 (0) cl
41 9.5 (4) cl
41 19.5 (8) cl
41 29.5 (12) cl
41 39.5 (16) cl

45.5 21 (DELAY\nTIME IN\nDEGREES) cc

font2
26.5 1.2 (PULSE  WIDTHS) cc

1.5 17 (PULSE  DELAYS) cl


2.6 32.6 (0|:o) cc
27.4 32.6 (90|:o) cc


% generate actual magic sinewave

/makemagic {gsave translate 0.25 dup scale line3

/ht 17 store
/dht 6 store

0 setlinecap 0 setlinejoin
dht setlinewidth

0 0 mt 
a50 0 get pr
0 settint 0.8 setgray stroke

0 a50 0 get add a50 1 get add 0 mt
a50 2 get pr
0.1 settint 0.8 setgray stroke


0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add     0 mt
a50 4 get pr
0.2 settint 0.8 setgray stroke

0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add
     0 mt
a50 6 get pr
0.3 settint 0.8 setgray stroke

0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add a50 6 get add a50 7 get add
     0 mt
a50 8 get pr
0.4 settint 0.8 setgray stroke


0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add a50 6 get add a50 7 get add
a50 8 get add a50 9 get add
     0 mt
a50 10 get pr
0.5 settint 0.8 setgray stroke


0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add a50 6 get add a50 7 get add
a50 8 get add a50 9 get add a50 10 get add a50 11 get add
     0 mt
a50 12 get pr
0.6 settint 0.8 setgray stroke

0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add a50 6 get add a50 7 get add
a50 8 get add a50 9 get add a50 10 get add a50 11 get add
a50 12 get add a50 13 get add
     0 mt
a50 14 get pr
0.7 settint 0.8 setgray stroke

%% pulses

a50 0 get 0 mt
ht pu
0 a50 1 get pr
ht pd
closepath
0 settint 0.6 setgray fill


a50 0 get a50 1 get add a50 2 get add 
0 mt ht pu
0 a50 3 get pr
ht pd
closepath
0.1 settint 0.6 setgray fill

a50 0 get a50 1 get add a50 2 get add a50 3 get add a50 4 get add
0 mt ht pu
0 a50 5 get pr
ht pd
closepath
0.2 settint 0.6 setgray fill

a50 0 get a50 1 get add a50 2 get add a50 3 get add a50 4 get add
a50 5 get add a50 6 get add
0 mt ht pu
0 a50 7 get pr
ht pd
closepath
0.3 settint 0.6 setgray fill

a50 0 get a50 1 get add a50 2 get add a50 3 get add a50 4 get add
a50 5 get add a50 6 get add a50 7 get add a50 8 get add
0 mt ht pu
0 a50 9 get pr
ht pd
closepath
0.4 settint 0.6 setgray fill

a50 0 get a50 1 get add a50 2 get add a50 3 get add a50 4 get add
a50 5 get add a50 6 get add a50 7 get add a50 8 get add
a50 9 get add a50 10 get add
0 mt ht pu
0 a50 11 get pr
ht pd
closepath
0.5 settint 0.6 setgray fill

a50 0 get a50 1 get add a50 2 get add a50 3 get add a50 4 get add
a50 5 get add a50 6 get add a50 7 get add a50 8 get add
a50 9 get add a50 10 get add a50 11 get add a50 12 get add
0 mt ht pu
0 a50 13 get pr
ht pd
closepath
0.6 settint 0.6 setgray fill





1 setlinecap 1 setlinejoin
black

0 0 mt
a50 0 get 0 rlineto
0 ht pu
a50 1 get 0 rlineto
0 ht pd

a50 2 get 0 rlineto
0 ht pu
a50 3 get 0 rlineto
0 ht pd

a50 4 get 0 rlineto
0 ht pu
a50 5 get 0 rlineto
0 ht pd

a50 6 get 0 rlineto
0 ht pu
a50 7 get 0 rlineto
0 ht pd

a50 8 get 0 rlineto
0 ht pu
a50 9 get 0 rlineto
0 ht pd

a50 10 get 0 rlineto
0 ht pu
a50 11 get 0 rlineto
0 ht pd


a50 12 get 0 rlineto
0 ht pu
a50 13 get 0 rlineto
0 ht pd

a50 14 get 0 rlineto


0.45 setlinewidth
stroke









grestore} def


3.5 33 makemagic




} store   % end special1code definition







%%%%%%%%%%% special2 code

/special2code {


/ad01 [ 
  7.434338157133027  % delay a=60-p5e
  0.11880195485247924  % delay b=p5e-p5s
  0.019577960879085587  % delay c=p1e-p1s
  14.855161666700834  % delay d=p2s-p1e
  0.021983040440492374  % delay e=p2e-p2s
  0.0911673899925809  % delay f=p3s-p2e
  0.0353778304366692  % delay g=p3e-p3s
  7.4235919995647634  % delay h=30-p3e
   ] store  
 
/ad10 [ 
  6.840486668588909  % delay a=60-p5e
  1.1877031146444991  % delay b=p5e-p5s
  0.19606479817654332  % delay c=p1e-p1s
  13.542825252098737  % delay d=p2s-p1e
  0.1524725715290529  % delay e=p2e-p2s
  0.9104569599226266  % delay f=p3s-p2e
  0.4224088615298953  % delay g=p3e-p3s
  6.7475817735097365  % delay h=30-p3e
   ] store   



/ad20 [ 
  6.179615738852249  % delay a=60-p5e
  2.368314508230462  % delay b=p5e-p5s
  0.39486570406405263  % delay c=p1e-p1s
  12.090328683781834  % delay d=p2s-p1e
  0.2773208755122525  % delay e=p2e-p2s
  1.8107046591154443  % delay f=p3s-p2e
  0.8802494355140809  % delay g=p3e-p3s
  5.998600394929625  % delay h=30-p3e
   ] store   

/ad30 [ 
  5.51798715656065  % delay a=60-p5e
  3.537987411554724  % delay b=p5e-p5s
  0.5996610353231375  % delay c=p1e-p1s
  10.6414917563349  % delay d=p2s-p1e
  0.378916570008613  % delay e=p2e-p2s
  2.6949373104326213  % delay f=p3s-p2e
  1.3768763200109077  % delay g=p3e-p3s
  5.252142439774445  % delay h=30-p3e
   ] store    



/ad40 [ 
  4.8560795807034935  % delay a=60-p5e
  4.692317283738298  % delay b=p5e-p5s
  0.8138114048538583  % delay c=p1e-p1s
  9.195452323744191  % delay d=p2s-p1e
  0.46036801366636126  % delay e=p2e-p2s
  3.5594981265840886  % delay f=p3s-p2e
  1.9150363136688284  % delay g=p3e-p3s
  4.50743695304088  % delay h=30-p3e
   ] store    






/ad50 [ 
  4.194298075500072  % delay a=60-p5e
  5.825866502969745  % delay b=p5e-p5s
  1.0408488460292488  % delay c=p1e-p1s
  7.751463747608284  % delay d=p2s-p1e
  0.5238895562340744  % delay e=p2e-p2s
  4.403346953313516  % delay f=p3s-p2e
  2.496487356236706  % delay g=p3e-p3s
  3.7637989621083534  % delay h=30-p3e
   ] store    

/ad53 [ 
  3.995843046736013  % delay a=60-p5e
  6.160868086216446  % delay b=p5e-p5s
  1.112006440311525  % delay c=p1e-p1s
  7.318567062952312  % delay d=p2s-p1e
  0.5397256759732585  % delay e=p2e-p2s
  4.652707315620958  % delay f=p3s-p2e
  2.679463155973238  % delay g=p3e-p3s
  3.5408192162162493  % delay h=30-p3e
   ] store   

/ad60 [ 
  3.5330039078836606  % delay a=60-p5e
  6.9314513603008905  % delay b=p5e-p5s
  1.2842465239317846  % delay c=p1e-p1s
  6.308872401421397  % delay d=p2s-p1e
  0.5713975364200223  % delay e=p2e-p2s
  5.228837780084575  % delay f=p3s-p2e
  3.1216051264200075  % delay g=p3e-p3s
  3.0205853635376627  % delay h=30-p3e
   ] store   

 
/ad70 [ 
  2.8725257224432425  % delay a=60-p5e
  7.998916501222098  % delay b=p5e-p5s
  1.5460427838912807  % delay c=p1e-p1s
  4.8671218102361  % delay d=p2s-p1e
  0.6062046544537196  % delay e=p2e-p2s
  6.042997615507133  % delay f=p3s-p2e
  3.789041064453741  % delay g=p3e-p3s
  2.2771498477926854  % delay h=30-p3e
   ] store   

/ad80 [ 
  2.2131268407607223  % delay a=60-p5e
  9.012727944067371  % delay b=p5e-p5s
  1.8200962344110607  % delay c=p1e-p1s
  3.4258327180993433  % delay d=p2s-p1e
  0.6400219482894229  % delay e=p2e-p2s
  6.85987852874419  % delay f=p3s-p2e
  4.495547368289273  % delay g=p3e-p3s
  1.532768417338616  % delay h=30-p3e
   ] store   




/ad90 [ 
  1.55474755544018  % delay a=60-p5e
  9.946227643338275  % delay b=p5e-p5s
  2.048752785780998  % delay c=p1e-p1s
  1.9853102905593687  % delay d=p2s-p1e
  0.736140589142309  % delay e=p2e-p2s
  7.705915111477708  % delay f=p3s-p2e
  5.236535369142075  % delay g=p3e-p3s
  0.7863706551190859  % delay h=30-p3e
   ] store    


/ad95 [ 
  1.225355348586767  % delay a=60-p5e
  10.367111550363887  % delay b=p5e-p5s
  2.0303138224619843  % delay c=p1e-p1s
  1.2665437513423114  % delay d=p2s-p1e
  0.9241283097125574  % delay e=p2e-p2s
  8.155346335065047  % delay f=p3s-p2e
  5.619630049711802  % delay g=p3e-p3s
  0.4115708327556433  % delay h=30-p3e
   ] store 
  
/ad98 [ 
  1.026684367555248  % delay a=60-p5e
  10.596415552349142  % delay b=p5e-p5s
  1.807508982542501  % delay c=p1e-p1s
  0.837605401539733  % delay d=p2s-p1e
  1.2493523058395936  % delay e=p2e-p2s
  8.441202830348274  % delay f=p3s-p2e
  5.855882255842914  % delay g=p3e-p3s
  0.18534830398259316  % delay h=30-p3e
   ] store     


/ad100 [ 
  0.8921862350266565  % delay a=60-p5e
  10.732271751681054  % delay b=p5e-p5s
  1.3169014782635031  % delay c=p1e-p1s
  0.5554591355065241  % delay d=p2s-p1e
  1.8052854865738012  % delay e=p2e-p2s
  8.644568525896716  % delay f=p3s-p2e
  6.020358566571353  % delay g=p3e-p3s
  0.032968820480391514  % delay h=30-p3e
   ] store    


/range 
[ (01) (10) (20) (30) (40) (50) (53) (60) (70) (80) (90) (95) (98)(100) ]
store


/procit1 {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 1 get 2.5 mul lineto
} def


/procit2 {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 2 get 2.5 mul lineto
} def



/procit3 {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 4 get 2.5 mul lineto
} def


/procit4 {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 5 get 2.5 mul lineto
} def


/procit5 {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 6 get 2.5 mul lineto
} def

/procit6 {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 3 get 2.5 mul lineto
} def

/procit7 {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 1 get 2.5 mul lineto
} def



/procit1d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 0 get 2.5 mul lineto
} def


/procit2d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 3 get 2.5 mul lineto
} def



/procit3d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 7 get 2.5 mul lineto
} def


/procit4d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 6 get 2.5 mul lineto
} def


/procit5d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 4 get 2.5 mul lineto
} def

/procit6d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 2 get 2.5 mul lineto
} def

/procit7d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 0 get 2.5 mul lineto
} def


/procit8d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

curval 2.5 div   curdat cvx exec 14 get 2.5 mul lineto
} def




% 40 100 10 setgrid
40 40 showgrid
line1 

% delays

0 37.5 mt range {procit2d} forall
40 0 lineto 0 0 lineto closepath
0.15 settint 0.8 setgray fill

0 18.75 mt range {procit1d} forall
40 0 lineto 0 0 lineto closepath
0 settint 0.8 setgray fill 


0 18.75 mt range {procit3d} forall
40 0 lineto 0 0 lineto closepath
0.3 settint 0.8 setgray fill

% pulses

0 0 mt range {procit1} forall
40 0 lineto 0 0 lineto closepath
0.0 settint 0.6 setgray fill

0 0 mt range {procit4} forall
40 0 lineto 0 0 lineto closepath
0.5 settint 0.6 setgray fill

0 0 mt range {procit5} forall
40 0 lineto 0 0 lineto closepath
0.6 settint 0.6 setgray fill

0 0 mt range {procit2} forall
40 0 lineto 0 0 lineto closepath
0.15 settint 0.6 setgray fill

0 0 mt range {procit3} forall
40 0 lineto 0 0 lineto closepath
0.3 settint 0.6 setgray fill


black line1

0 18.75 mt 
range {procit1d} forall stroke

0 37.5 mt 
range {procit2d} forall stroke

0 18.75 mt 
range {procit3d} forall stroke
 stroke


% width outlines

0 0 mt 
range {procit1} forall stroke

0 0 mt 
range {procit2} forall stroke

0 0 mt 
range {procit3} forall stroke

0 0 mt 
range {procit4} forall stroke

0 0 mt 
range {procit5} forall stroke





0.3 0.3 0.3 setrgbcolor line3 1 setlinecap 1 setlinejoin

0 0 mt 40 u 40 r 40 d 40 l
[{ 0 0 mt 0.4 l} 10 5 ] yrpt
[{ 40 0 mt 0.4 r} 10 5 ] yrpt
[{ 0 0 mt 0.4 d} 10 5 ] xrpt
[{ 0 40 mt 0.4 u} 10 5 ] xrpt

/cstretch 0.02 store
/sstretch 0 store
/font0 /StoneSans-Bold 1.5 gonzofont
/font1 /StoneSans-Bold 1.2 gonzofont
/font2 /StoneSans-Bold 1 gonzofont
/font: /StoneSans-Bold [0.6 0 0 0.6 0 0.6] gonzofont
/font; /StoneSans-Bold [1.5 0 0 1.5 0 0.2] gonzofont
/yinc 2 store
font0

20 45 (DELTA FRIENDLY  N |;=|0 28\nMAGIC  SINEWAVE) cc





font1
/yinc 1.5 store

0 -2.2 (0.0) cc
20 -2.2 (0.5) cc
40 -2.2 (1.0)cc

20 -4.3 (AMPLITUDE) cc

41 -0.5 (0) cl
41 9.5 (4) cl
41 19.5 (8) cl
41 29.5 (12) cl
41 39.5 (16) cl

46.5 21 (DELAY\nTIME IN\nDEGREES) cc

font2
23.5 4.7 (PULSE  WIDTHS) cc

1.5 22.5 (PULSE  DELAYS) cl




% generate actual magic sinewave

/makemagicold {gsave translate 0.25 dup scale line3

/ht 12 store
/dht 6 store

0 setlinecap 0 setlinejoin
dht setlinewidth

0 0 mt 
a50 0 get pr
0 settint 0.8 setgray stroke

0 a50 0 get add a50 1 get add 0 mt
a50 2 get pr
0.1 settint 0.8 setgray stroke


0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add     0 mt
a50 4 get pr
0.2 settint 0.8 setgray stroke

0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add
     0 mt
a50 6 get pr
0.3 settint 0.8 setgray stroke

0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add a50 6 get add a50 7 get add
     0 mt
a50 8 get pr
0.4 settint 0.8 setgray stroke


0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add a50 6 get add a50 7 get add
a50 8 get add a50 9 get add
     0 mt
a50 10 get pr
0.5 settint 0.8 setgray stroke


0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
a50 4 get add a50 5 get add a50 6 get add a50 7 get add
a50 8 get add a50 9 get add a50 10 get add a50 11 get add
     0 mt
a50 12 get pr
0.6 settint 0.8 setgray stroke

0 a50 0 get add a50 1 get add a50 2 get add a50 3 get add
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20 47.3 0.7  add  1 sub  
(A |j|jPostScript |j|jHeap |j|jSort)cc

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(|/aqua |/staytint1 |3Don Lancaster
Synergetics, Box 809, Thatcher, AZ 85552
copyright c2004 as |/surl |6GuruGram|1|/gurgrm01  |/tinton1 |6#32
|/surl http://www.tinaja.com|/tinaja 
|/surl don@tinaja.com|/maildon 
(928) 428-4073
|/aqua |/black 
|a|0B|b|1|jack in our previous |/su GuruGram #31|1|/gurgrm01 , we looked at some |/su PostScript|1|/post01  approaches to |/su Bubble Sorting|1|/presort  and |/su Presorted Bubble Sorting|1|/presort . It turns out there is a "better" way to sort that is called a |/to heap sort|/tx . A heap sort is very fast and very efficient, especially for very large |/to n|/tx . It also uses very few resources and is exceptionally easy on |/su PostScript|1|/post01  virtual memory and garbage collection.
|h
On the negative side, the incredibly elegant heap sort is somewhat hard to understand, involves somewhat longer and much more obtuse code, and is somewhat slower for very small |/to n|/tx . Ferinstance, sorting 300 items with a heap sort might take 20 milliseconds, compared to 12 milliseconds for a presorted bubble sort. Or 140 milliseconds for a conventional bubble sort. For nearly all values of |/to n|/tx , though, a heap sort is either ridiculously faster or else is more than fast enough that it does not really matter.
|h
|c
What |jis |ja |jheap?
|d
A |/to heap|/tx  is not just a slang term. It is instead a carefully organized |/to binary tree         |/to data structure|/tx  . One having very exacting rules for its creation and use. Starting with some data of |/to [|j(01)|j(02)|j(50)|j(10)|j(11)|j(20)|j(41)|j(21)|j(22)|j(52)|j(30)|j(31)|j(00)|j                 |/to (32)|j(40)|j(42)|j(12)|j(51)|j(21)|j]|/tx , a heap might initially look like this\274
|/beige |/figureoneauto 
) cl 

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(We see a heap-shaped "triangular" data structure. Our first rule is that\274
|6|/shiftin |/aqua |/burplebox3 |/staytint1 
|h
     A heap has to be built SLOWLY from the top down 
     but RAPIDLY from left to right.
|h
|1|/shiftout |/aqua |/black 
A heap can hold up to |/to 2^n|/tx  elements. |/to n|/tx  is continuously chosen to be just larger than needed for the available data. Should more data arrive, |/to n|/tx  is bumped by one and a new base row is added to the data structure.
|h
From our above build rule, we can also see that\274
|6|/shiftin |/aqua |/burplebox3 |/staytint1 
|h
        Any "empty" elements ALWAYS have to be at the 
        LOWER RIGHT on the BOTTOM row.
|h   
|1|/shiftout |/aqua |/black 
Each |/to parent|/tx  or |/to apex|/tx  element of a heap |/to triad|/tx  normally has |/to two|/tx  children. One crucially important heap rule is that\274
|6|/shiftin |/aqua |/burplebox3 |/staytint1 
|h
        On any triad, the apex parent must ALWAYS be 
        EQUAL or LARGER than either child.  
|h 
|1|/shiftout |/aqua |/black 
When you are building a heap, numerous swaps that "ripple up" or |/to upchuck|/tx  through the tree might be needed to force this rule.
|h
Similarly, when you are extracting data from a heap, numerous swaps that "ripple down" or |/to downchuck|/tx  through the tree might be needed as well. The beauty of a large heap sort is that |/to ridiculously fewer comparisons will be needed|/tx  than will be required with bubble and certain other sorts. 
|h
A heap is easily constructed inside an array. Just place each row into the array in sequential order. |/to Starting with location 1, NOT location 0|j! |/tx And, conveniently, the results of a heap sort can go back into that very same array. 
|h
Heap array addressing is remarkable simple\274
|6|/shiftin |/aqua |/burplebox8 |/staytint1 
|h
    The TOP of the heap always goes in array position #1
    Note that this is NOT position 0|j!
|h
    The LEFTMOST triad address will be apex*2.
    The RIGHTMOST triad address will be (apex*2) + 1
|h
    The APEX triad address will be Int|j(|jleftmost/2|j)
    The APEX triad address will also be Int|j(|jrightmost/2|j)
|h
|1|/shiftout |/aqua |/black 
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(There are two steps to doing a heap sort. You first |/to fill|/tx  or create the heap. While forcing the above rules. At this point, your |/to highest|/tx  data value will always end up in position #1 and is easily grabbed |/to without any comparisons or tests at all!|/tx  
|h
You then |/to empty|/tx  your heap to complete the sort. Do this by taking the current           |/to last|/tx  heap item and swapping it with the |/to first|/tx . This should then place the |/to highest         |/to remaining|/tx  item in proper position at the end of the array.
|h
You then do a |/to downchuck|/tx  that ripples the moved item as far into the heap as needed to guarantee each parent of a triad is larger than its children.
|h
The process repeats as the heap shrinks down. Until nothing is left but your correctly sorted array.
|h
|c
Some |jCode
|d
As always, you can use |/su Acrobat Distiller as a General Purpose PostScript|/distlangpdf              |/su Computer|1|/distlangpdf .  Following the details of |/su GuruGram #29|1|/gurgrm01 . More details can be found      in our |/su PostScript|1|/post01  library.
|h
Let's look at some heap sort code from the outside in.\274
|6|/shiftin |/burple |/burplebox7 |/staytint1 
|h
/heapsort {
   /heap stddat length                       |t% create heap array
        1 add array store
   fillheap                                  |t% create heap from strings
   emptyheap                                 |t% sort heap by emptying
                 } bind store
|h
|1|/shiftout |/aqua |/black 
We simply fill the heap and then empty it. All the while following our exacting heap rules. We'll assume you are starting with an unsorted arrray of strings that has been named |/to stddat|/tx . Here's the fill routine\274
|6|/shiftin |/burple |/burplebox6 |/staytint1 
|h
/fillheap {/hposn 1 store           |t% initialize to position 1                             
      stddat {upchuck               |t% enter one string at a time                    
      /hposn hposn 1 add store      |t% advance position counter
                  } forall              |t% repeat for all strings  
                } bind store
|h
|1|/shiftout |/aqua |/black 
Each new string is tentatively placed at the end of the heap, which is usually towards the lower right of the binary tree. Working slowly down and rapidly left to right. 
|h
A recursive |/to upchuck|/tx  routine is then called to move the string as far up into the heap as is needed to force the "parent is always bigger or equal than child" rule\274
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(|6|/shiftin |/burple |/burplebox14 |/staytint1 
|h
/upchuck {/cposn hposn store               |t% initialize pointer to end 
   {/pposn cposn 2 idiv store      |t% begin recursive loop
    pposn 0 le                    |t% parent address <1?
       {heap exch cposn exch     |t% yes, save child 
        put exit} if          |t%    and exit
    heap pposn get                |t% get parent value
    2 copy  ge {                  |t% is swap needed?  
      heap exch cposn exch put}  |t%     yes, swap
      {pop heap exch cposn exch  |t% no, save child
       put exit} ifelse        |t%     and exit
    /cposn pposn store         |t% old parent = new child
    } loop                  |t% repeat until parent>child
          } bind store
|h
|1|/shiftout |/aqua |/black 
For each trip, a new parent address is calculated from |/to cposn|/tx  by using |/to 2 idiv|/tx .
|h
There are |/to three|/tx  possible outcomes: If the parent address is less than 1, then you have previously reached the top of the heap and you exit, saving the child. 
|h
If the |/to pposn|/tx  parent address is within the heap and the parent value equals or exceeds the child, you are also done and exit, saving the child. 
|h
If the parent value is less than the child, you swap child and parent, save the new child, and then recursively go up one level. The child string always remains on the stack until needed.
|h
It takes many iterations to get from your initial data to a properly filled heap. To fully understand this process, start with our original data above and try to get the heap result previously shown. Remember to |/to fill your heap slowly from top to        |/to bottom|/tx  and |/to rapidly from left to right|/tx  and that |/to the parent of each heap triad      |/to must equal or exceed either child.|/tx 
|h
Here's the mid-level |/to emptyheap|/tx  routine\274
|6|/shiftin |/burple |/burplebox10 |/staytint1 
|h
/emptyheap { 
  hposn 1 sub -1 2                    |t% loop through all strings 
     {/h1posn exch store              |t% remaining heap size
      heap h1posn get                 |t% end item to stack
      heap 1 get                      |t% get highest apex value
      heap exch h1posn exch put       |t% place at end
      downchuck                       |t% rework heap triads
      } for        |t% redo smaller heap       
                     } bind store 
|h
|1|/shiftout |/aqua |/black 
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(At any time, the |/to largest|/tx  remaining string will be on |/to top|/tx  of the heap in address #1. This gets swapped with the |/to last|/tx  string in the heap, stacking up everything in order from the array end. |/to downchuck|/tx  is then used to ripple the last string into its proper mid-heap position\274
|6|/shiftin |/burple |/burplebox14 |/staytint1 
|h
/downchuck { /apex 1 store              |t% starting at top...
    {/maybe apex 2 mul store            |t% left child address
    maybe h1posn 2 sub le              |t% full triad available?
       {basecheck swapcheck}            |t% find larger base & swap?
       {maybe h1posn 1 sub eq           |t% left only available?
         {heap maybe get                |t% get left base then swap?
          swapcheck}  
         {heap exch apex exch          |t% no, save apex and exit
          put exit} ifelse                  
                } ifelse
     /apex maybe store                  |t% reset apex for next triad
     } loop                             |t% continue recursively 
                 } bind store
|h
|1|/shiftout |/aqua |/black 
Downchucking is somewhat more complicated and time intensive than upchucking. This time, there are four possible outcomes:
|h
If the next child address exceeds the current heap size, you are done and exit saving the last parent. If the next child address equals the current heap size, you will have only one child. This child is then compared using |/to swapcheck|/tx . 
|h
If the next child address is less than one less than the current heap size, you will have two children. These needed tested against each other using |/to basecheck|/tx . The larger of the two is then compared using |/to swapcheck|/tx .
|h
|/to swapcheck|/tx  in turn will decide whether a swap is needed or not. If no swap is needed, you exit while saving the last parent. If a swap is needed, that swap is made and the test child becomes the new parent for yet another recursive round.
|h
Here is |/to basecheck|/tx \274
|6|/shiftin |/burple |/burplebox7 |/staytint1 
|h
/basecheck { heap maybe get                     |t% get left string
     heap maybe 1 add get                |t% get right string
     lt {/maybe maybe 1 add              |t% set address of larger point
         store} if
     heap maybe get                      |t% get larger
                 } bind def
|h
|1|/shiftout |/aqua |/black 
The left and right triad bottom strings are compared, and the larger one is chosen.
) cl 

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(Finally, here is |/to swapcheck|/tx \274
|6|/shiftin |/burple |/burplebox6 |/staytint1 
|h
/swapcheck {2 copy lt                            |t% is a swap needed? 
     {heap exch apex exch put}          |t% yes, swap and save apex
     {pop heap exch apex exch           |t% no, save apex only and exit
       put exit} ifelse
                   } bind store
|h
|1|/shiftout |/aqua |/black 
The stack will normally hold the |/to maybe|/tx  string on top of the |/to apex|/tx  string. Letting          |/to swapcheck|/tx  compare the two. If a swap is needed, the new apex is saved, and testing continues. If not, the old apex is saved, and you exit.
|h
Some ready-to-use code and sample string data appears as file |/su HEAPPS01.PSL|1|/heapps01 .
|h
|c
For  More  Help
|d
Additional |/su PostScript|1|/post01  and |/su Acrobat|1|/acrob01  and assistance is available per the previously shown web links. Custom programming and design services are now available at our standard consulting rates. Per our |/su InfoPack Services|1|/info01 . Or you can directly           |/su email|1|/maildon  me.
|h
Additional |/surl |6GuruGrams|1|/gurgrm01  columns await your ongoing support as a |/surl |6Synergetics|/advt01            |/su Partner|1|/advt01 .
) cl 


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