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%% LaTeX2e file `eps/pitch.eps'
%% generated by the `filecontents' environment
%% from source `pmxccn' on 2011/07/14.
%%
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: dvips(k) 5.90a Copyright 2002 Radical Eye Software
%%Title: pitch.dvi
%%CreationDate: Wed Jan 21 14:04:11 2004
%%Pages: 1
%%PageOrder: Ascend
%%BoundingBox: 28 724 510 798
%%DocumentFonts: TeXMUSIX16-Regular CMTT10
%%EndComments
%DVIPSWebPage: (www.radicaleye.com)
%DVIPSCommandLine: C:\MIKTEX\TEXMF\MIKTEX\BIN\DVIPS.EXE pitch.dvi
%DVIPSParameters: dpi=600, compressed
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% This file can be used instead of psslurs.pro, it is only commented
% and indented.
%
% VERSION: 1.0
%
% WARNING! This is a heavy magic! If you want something more understandable,
%   you will have to write it yourself (if it is possible in a stack-oriented
%   language that PostScript is). There are some constants you can
%   change and see what happens, but I think the slurs should be almost
%   always satisfiable. When not, let me know at:
%   standa@hiero.cz
%   Also any bug reports and comments are welcomed.
%
%         Stanislav Kneifl.

/slur@Dict 200 dict def

% this dictionary is for \setslurtext, overriding some dvips's definitions
/temp@xx@dict 4 dict def temp@xx@dict begin
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/GD { dup length 2 sub 0 exch getinterval cvr 1.045 mul} def
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/GDAR { dup length 2 sub 0 exch getinterval cvr 4 AR mul 1.045 mul} def
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/AR { Resolution mul 300 div } def
%  the distances in dvips's PostScript are resolution dependant!
end

slur@Dict begin
/CP /currentpoint load def
/ED { exch def } bind def
/AR { Resolution mul 300 div } def  % stands for Adjust to Resolution,
/VS { dup /ay1 exch ay1 exch linew mul 4 mul add def /ay2 exch ay2 exch linew mul 4 mul add def } def
/y { 3 2 roll ax1 ay1 rmoveto show moveto } def
/M { mul } def
/A { add } def
/SB { sub } def
/P { pop } def
/DP { dup } def
/R { roll } def

/drawseg { 0 0 moveto
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  ax1 0.6 mul ax2 0.4 mul add ay1 0.6 mul ay2 0.4 mul add
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 ax1 0.4 mul ax2 0.6 mul add ay1 0.4 mul ay2 0.6 mul add
  ax2 ay2
  x2 0 curveto } def

/DS {
 AR /maxe ED
 /ifadjust ED
 /ifdash ED
 AR /m ED         % max height of the slur
 /e ED            % "angularity" of the slur; 0.1 = very angular,
                          %   0.3 = very round
 /aa exch neg def       % what to multiply the height with
                          %   AFTER the max height checking
 /y2 ED           % y coordinate of the end of the slur
 /x2 ED           % x coordinate of the end of the slur
 /y1 ED           % y coordinate of the beginning of the slur
 /x1 ED           % x coordinate of the beginning of the slur
 /yr2 ED
 /yr1 ED
 /internote ED
 /x2 x2 x1 sub def      % x2=x2-x1
 /y2 y2 y1 sub def      % y2=y2-y1
 /sx y2 x2 div def
 /b x2 300 mul Resolution div abs sqrt AR 2 mul def % b=2*sqrt(x2)
 b 3 AR lt {/b 3 AR def} if   % b=max(b,3)
 b m gt {/b m def} if     % b=min(b,m)
 /aa b aa mul def      % aa=aa*b
 /s 90 x2 y2 atan sub def   % s=90-arctan(x2,y2)   slope of the slur
 /aa aa s cos div def     % aa=aa/cos(s)   height of the slur
 /x2 s neg cos x2 mul s neg sin y2 mul sub def % x2 = x2*cos(-s) - y2*sin(-s)
                 %  is the length of the slur
 e x2 mul maxe gt { /e maxe x2 div def } if
 /beta e x2 mul aa neg atan def
 beta 90 gt {/beta 180 beta sub def} if
 /ax1 e x2 mul def    % control points
 /ay1 aa def
 /ax2 1 e sub x2 mul def
 /ay2 aa def

% check if the starting and endin vector stay in desired quadrants
% => beta < abs(s)
 beta s abs lt {
  /b aa abs s abs 2 add sin mul s abs 2 add cos div def
  s aa mul 0 lt {
   s cos 0.75 lt { /ax1 ax1 b 1 s cos sub mul 0.5 mul sub def /ay1 ay1 s cos mul 0.8 mul def } if
%              ^^^^                                 ^^^                                ^^^
% (values to play with)
   /ax2 x2 b sub def
  }
  {
   /ax1 b def
   s cos 0.75 lt { /ax2 b 1 s cos sub mul 0.5 mul ax2 add def /ay2 ay2 s cos mul 0.8 mul def } if
%              ^^^^                             ^^^                                    ^^^
  } ifelse
 } if

% align the slur to the staff lines

 gsave
 x1 y1 translate
 s rotate
% [1 0 sx 1 0 0] concat
 drawseg
 gsave
 initmatrix
 flattenpath
 pathbbox
 exch pop
 sub
 /slh ED            % in slh we have the height of the whole slur
 pop
 grestore

 /yr s aa mul 0 ge { yr1 } { yr2 } ifelse internote div def
 /slh yr slh internote div aa 0 gt { add } { sub } ifelse 2 div def
% check if the slur gets too close to staff line
 /shift 0 def
 slh 4.45 lt slh -0.5 gt and {
  /slh slh dup truncate sub def
  slh 0 lt { /slh 1 slh add def } if
  aa 0 gt { /slh 1 slh sub def } if

   % slh now contains the position ot the slur top/bottom in the space
   % between the nearest staff lines (from <0,1>), regardless direction

   % slur is too low:
  slh 0.45 lt { /shift 0.45 slh sub def } if
   % slur is too high, but we can be shift it down:
  slh 0.7 gt slh 0.85 lt and { /shift 0.7 slh sub def } if
   % slur is too high, must be shifted up:
  slh 0.85 ge { /shift 1.45 slh sub def } if
 } if

 aa 0 gt { /shift shift neg def } if

 ifadjust 0 eq {
  /shift 0 def
 } if


% and finally draw it...

 grestore
 gsave
 /linew internote 0.06 mul AR def
 linew 4 mul setlinewidth
 1 setlinecap
 0 setlinejoin
 ifdash 1 eq
  { [internote 8 mul AR internote 5 mul AR] 0 setdash } if
 x1 y1 shift neg 2 mul internote mul 4 AR mul add translate
 s rotate
% [1 sx 0 1 0 0] concat

% uncomment this to see the control points
%  5 AR setlinewidth ax1 ay1 moveto 0.1 0 rlineto stroke
%  ax2 ay2 moveto 0.1 0 rlineto stroke linew setlinewidth

 drawseg
 1 VS
 drawseg
 -2 VS
 drawseg
 x2 20 AR gt {
  3 VS
  drawseg
 } if
 x2 50 AR gt {
  -4 VS
  drawseg
 } if
 x2 80 AR gt {
  5 VS
  drawseg
 } if
 stroke

 grestore

 % now some \slurtext code...

 /x1 ax1 ax2 add 2 div def          % middle of the slur
 /y1 ay1 ay2 add 2 div def
 x1 s cos mul y1 s sin mul add neg
 y1 s cos mul x1 s sin mul sub
 aa 0 lt {1} {0} ifelse
 end

 % this is a hack to place the slurtext in the middle of the slur.
 % From unknown reasons simple 'ax1 ay1 translate' did not work,
 % so we have to overlay some definitions with our own, namely
 % 'a', which is originally 'moveto' and 'V' for drawing rules.
 % maybe there are some other operations that should be redefined,
 % but for almost all cases this will be sufficient. If you find
 % anything that won't be typeset at the correct position, let me know...

 temp@xx@dict begin
 /dir exch def
 /ay1 exch def
 /ax1 exch def
} def

% crescendos
/DC {
 /y2 ED
 /x2 ED
 /y1 ED
 /x1 ED
 gsave
 1 AR ceiling setlinewidth         % line thickness: this results
 1 setlinecap                      % to exactly 2 pixels in 300 dpi
 1 setlinejoin
 x2 y2 10 AR add moveto            % the 10's specify wideness of the
 x1 y1 lineto                      % open end of the crescendo,
 x2 y2 10 AR sub lineto            % similarly the 11's below
 stroke
 grestore
} def

% half crescendos
/DHC {
 /y2 ED
 /x2 ED
 /y1 ED
 /x1 ED
 gsave
 1 AR ceiling setlinewidth
 1 setlinecap
 1 setlinejoin
 x2 y2 11 AR add moveto
 x1 y1 4 AR add lineto stroke
 x1 y1 4 AR sub moveto
 x2 y2 11 AR sub lineto
 stroke
 grestore
} def

% differenced line

/DLN {
 gsave
 GDAR ceiling setlinewidth
 GDAR exch GDAR neg rlineto
 stroke
 grestore
} def

% sloped line

/DSLN {
 gsave
 GDAR ceiling setlinewidth
 GDAR exch 1.125 mul neg rotate 0 rlineto
 stroke
 grestore
} def

% free line (init & terminate)

/DFLN {
 gsave
 GDAR ceiling setlinewidth
 CP moveto
 lineto
 stroke
 grestore
} def

end


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%%Trailer

userdict /end-hook known{end-hook}if
%%EOF