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% This file can be used instead of psslurs.pro, it is only commented
% and indented.
%
% VERSION: 1.01
%
% 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:
%   stanislav@kneifl.net
%   Also any bug reports and comments are welcomed.
%
%         Stanislav Kneifl.

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% this dictionary is for \setslurtext, overriding some dvips's definitions
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% get dimen from TeX's string ("125pt" -> 125 PS points)
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/psxAR { 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
/psxAR { 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

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/DS {
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	/ifadjust ED
	/ifdash ED
	psxAR /m ED         % max height of the slur
	/e ED            % "angularity" of the slur; 0.1 = very angular,
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	/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
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	/b x2 300 mul Resolution div abs sqrt psxAR 2 mul def	% b=2*sqrt(x2)
	b 3 psxAR lt {/b 3 psxAR 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)
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		s aa mul 0 lt {
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%              ^^^^                                 ^^^                                ^^^
% (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
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		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 {
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	} if


% and finally draw it...

	grestore
	gsave
	/linew internote 0.06 mul psxAR def
	linew 4 mul setlinewidth
	1 setlinecap
	0 setlinejoin
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%	[1 sx 0 1 0 0] concat

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

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	% now some \slurtext code...

	/x1 ax1 ax2 add 2 div def          % middle of the slur
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	% this is a hack to place the slurtext in the middle of the slur.
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	% 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...

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% crescendos
/DC {
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	1 setlinecap                      % to exactly 2 pixels in 300 dpi
	1 setlinejoin
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	x1 y1 lineto                      % open end of the crescendo,
	x2 y2 10 psxAR sub lineto            % similarly the 11's below
	stroke
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} def

% half crescendos
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% differenced line

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% sloped line

/DSLN {
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	stroke
	grestore
} def

% free line (init & terminate)

/DFLN {
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMBX12
%!PS-AdobeFont-1.0: CMBX12 003.002
%%Title: CMBX12
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX12.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup
/UniqueID get 5000769 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMBX12 def
/FontBBox {-53 -251 1139 750 }readonly def
/UniqueID 5000769 def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX12.) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 50 /two put
dup 52 /four put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: TeXMUSIX20-Regular
%!PS-AdobeFont-1.0: TeXMUSIX20-Regular 001.000
%%CreationDate: 01-07-25 at 04.07
%%VMusage: 1024 35768
% Generated by Fontographer 4.1.4
% converted using TeXtrace 0.45 and modified by T. Uchiyama
% ADL: 701 299 0
%%EndComments
FontDirectory/TeXMUSIX20-Regular known{/TeXMUSIX20-Regular findfont dup/UniqueID known{dup
/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
20 dict begin
/FontInfo 16 dict dup begin
/version (001.000) readonly def
/FullName (TeXMUSIX20-Regular) readonly def
/FamilyName (TeXMUSIX20) readonly def
/Weight (Regular) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/Notice (converted using TeXtrace 0.45 and modified by T. Uchiyama) readonly def
/em 1000 def
/ascent 701 def
/descent 299 def
end readonly def
/FontName /TeXMUSIX20-Regular def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 7 /caron put
dup 71 /G put
dup 73 /I put
readonly def
/PaintType 0 def
/FontType 1 def
/StrokeWidth 0 def
/FontMatrix[0.001 0 0 0.001 0 0]readonly def
%/UniqueID 0 def
/FontBBox{-619 -1659 3200 1660}readonly def
currentdict end
currentfile eexec
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w(\007)p 555 443 4 583 v 662 296 4 144 v 615 296 a(\007)p
773 296 V 111 w(\007)p 836 170 4 165 v 837 5 a(\007)p
662 171 289 20 v 947 170 4 165 v 111 w(\007)p 1058 443
4 583 v 1165 296 4 435 v 1118 296 a(\007)p 1276 296 V
111 w(\007)p 1387 5 4 144 v 1340 5 a(\007)p 1165 -120
335 20 v 1498 5 4 144 v 111 w(\007)p 1561 443 4 583 v
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296 4 435 v 1843 296 a(\007)p 1668 -120 335 20 v 2002
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%%Trailer

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