%!PS

% Magic Sinewave Pulse Visualizations GG24
% =========================================================
% by  Don Lancaster

/ggnum 23 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 replace or eliminate PowerPoint to gain better web
%  appearance, improved linking and faster downloading.

%  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

/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



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


/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





/burplebox5 {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

/burplebox5.5 {6 burpcom} store
/burplebox6 {6.5 burpcom} store
/burplebox7 {7.5 burpcom} store
/burplebox7.5 {8 burpcom} store
/burplebox8 {8.5 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

/burplebox15.5 {save /burp1 exch store
xpos ypos translate -1 .2 mt 16 yinc mul .4 add pd burpwide pr 16 yinc mul .4 add pu closepath
0.9 setgray fill burp1 restore
} def

/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    


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[ (01) (10) (20) (30) (40) (50) (53) (60) (70) (80) (90) (95) (98)(100) ]
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/procit8d {  dup cvi  /curval exch store  (ad)exch  mergestr cvn /curdat exch store

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% ----------














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textleft 43  0.3 add % this one only  need |h below 
(|/aqua |/staytint1 |3Don Lancaster
Synergetics, Box 809, Thatcher, AZ 85552
copyright c2003 as |/surl |6GuruGram|1|/gurgrm01  |/tinton1 |6#24
|/surl http://www.tinaja.com|/tinaja 
|/surl don@tinaja.com|/maildon 
(928) 428-4073
|/aqua |/black 
|a|0A|b|1|j|jnew class of |/su math functions|1|/math01  called |/su Magic Sinewaves|1|/magsn01  lets you efficiently produce power sinewaves that can have |/to any|/tx  chosen number of low harmonics forced very near |/to zero|/tx . And do so using the fewest possible switching events for the highest possible energy efficiency. Two new intros appear |/su here|1|/msintro1  and |/su here|1|/deltams1 , along with a development proposal |/su here|1|/msinprop , a tutorial |/su here|1|/stepsynt , and calculators |/su here|1|/magsn01 , and seminars and workshops |/su here|1|/info01 .
|h
In this |/su Gurugram|1|/gurgrm01 , we'll take a closer look at how the magic sinewave pulses vary with position and amplitude. These visualizations can give us some new insight on |/su Magic Sinewave|1|/magsn01  synthesis. With reasonable care, we can find that\274
|6|/shiftin |/aqua |/burplebox2 |/staytint1 
|h
8-bit storage words are adequate for most magic sinewaves.
|1|/shiftout |/aqua |/black 
|h
and\274
|6|/shiftin |/aqua |/burplebox2 |/staytint1 
|h
  As few as FIVE bytes of storage are needed per amplitude.
|1|/shiftout |/aqua |/black 
|h
It turns out that the quantization options in our |/su Magic Sinewave Calculators|1|/magsn01  are extremely conservative as they were based upon a 20 degree "full scale" pulse or delay width. By viewing the actual needed pulses and applying some |/su Smoke and|/mindist1      |/su Mirror|1|/mindist1  techniques, considerably better performance can sometimes result.
|h
The two most useful magic sinewaves I've found so far are the |/to Best Efficiency 28|/tx  and the |/to Delta Friendly 28|/tx . Let's see what their pulse plots look like\274
|h
|c
Best Efficiency 28
|d
The best efficiency 28 magic sinewave has 28 pulses per cycle or 7 pulses per quadrant. It zeros out the first 28 harmonics but is suitable only for single phase use. Here is a plot of how its first quadrant pulses change their position and width versus amplitude\274
) cl 

startnewpage

(The pulse widths and positions are gotten from the calculators by subtracting their starting and ending angles. Our plot shows the interpulse delays to the |/to left|/tx  and the pulse widths to the |/to right|/tx . Red values are |/to early|/tx  while blue values are |/to late|/tx .
|h
We see that the delay values are somewhat linear. Some values are possibly directly generated rather than using table lookup. Delay values can be built as a deviation from linearity or as the |/to sum|/tx  of all lesser delays. Either method should substantially improve table lookup accuracy. To well beyond what is needed.
|h
Note that the pulses are well behaved up to amplitude 0.95 and a little strange above that. Which might tempt us to not use the highest possible amplitudes. 


) cl

special1
startnewpage

(We can quickly tell that high amplitudes of |/to p7|/tx  will be the most critical. Owing to the "double whammy" of being both very large and very bent. You can use the       |/su  Magic Sinewave Calculators|1|/magsn01  to find how much worse the distortion gets with a pulse position or size error. Entering half a bit at 8-bit full scale 16 degree accuracy tells us that such a |/to p7|/tx  error here will only increase total distortion by a fraction of a percent.
|h
But even this acceptably small error can be substantially reduced by generating      |/to p7|/tx  either as a |/to deviation from linearity|/tx  or as the |/to sum of lesser pulse widths|/tx .
|h
Thus, use of 8-bit table lookup should work just fine here. And that at least a few of the table lookup delay values can possibly be directly calculated.
|h
|c
Delta Friendly 28
|d
The |/to delta friendly 28|/tx  magic sinewave is fully three phase compatible and needs far fewer table lookup storage values. But it only zeros out the first 22 harmonics, compared to the 28 that got zeroed by the |/to best efficiency 28|/tx . Its visualization plot appears on the next page.
|h
Understanding how to get from the |/su Magic Sinewave Calculator|1|/magsn01  pulse edges to three phase port patterns can be tricky. A good way is to start with the |/to wrap map|/tx  of our |/su Delta Friendly Magic Sinewave|1|/deltams1  intro tutorial and then going on to these            |/su special phasing plots|1|/deltapat .
|h
In general, any 30 degree interval has a repeating pattern of three delay values and five pulse width values. This pattern mirrors over a 60 degree interval and then repeats six times for a full cycle. In each interval, pulse presence and polarity is suitably routed to each needed port line. For instance, in the 0-30 interval, |/to p1|/tx  might be sent to phase |/to a|/tx  with positive polarity, |/to p5|/tx  goes to phase |/to b|/tx  with positive polarity, and |/to p7|/tx  goes to phase |/to c|/tx  with negative polarity.
|h
We can see that the plotted three delay values are very nearly linear. And thus can possibly be eliminated as table lookup storage values. The slight nonlinearity that remains can still cause moderately worse distortion, so it is best eliminated by adjustment or by recalculating optimal Magic Sinewave positions. Adding forced true linearity as a constraint.
|h
Repeating ourselves\274
|6|/shiftin |/aqua |/burplebox2 |/staytint1 
|h
  As few as FIVE bytes of storage are needed per amplitude!
|1|/shiftout |/aqua |/black 
|h
Except for that disconcerting "width crossover" of p1 and p2 at high amplitudes, the pulses seem well behaved and easily synthesized. Their accuracy is further improvable by again using deviation from linearity or smaller pulse summing techniques. And, again, 8-bit table lookup data used with care should suffice.
) cl 

startnewpage

special2


(




















  








|h


|c
What clock Frequency?
|d
The minimum clock frequency needed for magic sinewaves may seem surprisingly high at first glance. This comes from the need to accurately resolve small portions of each cycle. A quick answer is |/to "Use 4 Megahertz"|/tx .
|h
Consider a 60 Hertz magic sinewave. Its time period will be 16.667 milliseconds. A two degree interval of the sinewave will be 92.5 microseconds. Chopping this up to eight bit (256 level) resolution will give you a timing interval of 0.36 microseconds, or somewhat under four Megahertz. Details will, of course, vary with your required generation accuracy and the number of clock cycles needed per instruction on your chosen microcontroller.
|h

) cl 

startnewpage



(Since the microcontroller is basically generating much longer time delays, any needed setup or overhead can usually be included |/to within|/tx  those delays.
|h
Naturally, the |/to highest feasible clock frequency|/tx  may give advantages in coding flexibility and data access. Microcontroller power needs are seldom of concern in most power sinewave applications. A reminder that trying to generate both a magic sinewave and its reference frequency at the same time may need excessive clock frequencies. It is thus best to use one system to generate a Megahertz region variable reference clock and a second for actual sinewave synthesis.
|h
Lower clock frequencies can be gotten by allowing higher distortion levels. Note that the calculated distortion values are |/to before|/tx  the lowpass filtering needed to reject the first two uncontrolled harmonics. If the low harmonic distortions are more or less acceptable, chances are the higher ones will be filtered out almost completely.
|h
|c
Transient Considerations
|d
Sudden changes in a magic sinewave synthesizer can create |/to transients|/tx  that may have undesirable effects on the load being driven. The details are highly system specific. But two first principles are\274
|6|/shiftin |/aqua |/burplebox2 |/staytint1 
|h
   Slew rate limit both amplitude and frequency changes.
|1|/shiftout |/aqua |/black 
|h
And\274
|6|/shiftin |/aqua |/burplebox2 |/staytint1 
|h
    Avoid unneeded transients by synchronous switching.
|1|/shiftout |/aqua |/black 
|h
While it is safest to change frequency or amplitude only on the positive zero crossing of each cycle, faster response may be gained by switching more often. The key rules are |/to switch zero to zero|/tx  or, if really needed, |/to switch one to one|/tx .
|h
On a delta-28 magic sinewave, it is feasible to zero switch every 15 degrees or to zero and one switch approximately every 7.5 degrees. Your average switching latency times would end up as a few degrees or several hundred microseconds. 
|h
|c
For  More  Help
|d
Additional |/su Magic Sinewave|1|/magsn01  help is available per the previously shown web links. Detailed analysis of system specifics are available at our standard consulting rates. Per our |/su Magic Sinewave Development Proposal|1|/msinprop  and our |/su Consulting Services|1|/info01 .
|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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