% 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:
%   [email protected]
%   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
       /a { moveto ax1 ay1 rmoveto } def
       /V {gsave newpath transform round exch round exch itransform
               exch ax1 add exch ay1 add moveto rulex 0 rlineto 0 ruley neg
               rlineto rulex neg 0 rlineto fill grestore} def
end

TeXDict begin
% get dimen from TeX's string ("125pt" -> 125 PS points)
/psxGD { dup length 2 sub 0 exch getinterval cvr 1.045 mul} def
% get dimen adjusted to Resolution
/psxGDAR { dup length 2 sub 0 exch getinterval cvr 4 psxAR mul 1.045 mul} def
% Adjust to Resolution
/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

/drawseg { 0 0 moveto
       ax1 ay1
               ax1 0.6 mul ax2 0.4 mul add ay1 0.6 mul ay2 0.4 mul add
               ax1 ax2 add 2 div ay1 ay2 add 2 div curveto
       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 {
       psxAR /maxe ED
       /ifadjust ED
       /ifdash ED
       psxAR /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 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)
       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 psxAR def
       linew 4 mul setlinewidth
       1 setlinecap
       0 setlinejoin
       ifdash 1 eq
               { [internote 8 mul psxAR internote 5 mul psxAR] 0 setdash } if
       x1 y1 shift neg 2 mul internote mul 4 psxAR mul add translate
       s rotate
%       [1 sx 0 1 0 0] concat

% uncomment this to see the control points
%  5 psxAR 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 psxAR gt {
               3 VS
               drawseg
       } if
       x2 50 psxAR gt {
               -4 VS
               drawseg
       } if
       x2 80 psxAR 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
       2.5 psxAR ceiling setlinewidth    % line thickness: this results
       1 setlinecap                      % to exactly 2.5 pixels in 300 dpi
       1 setlinejoin
       x2 y2 10 psxAR add moveto            % the 10's specify wideness of the
       x1 y1 lineto                      % open end of the crescendo,
       x2 y2 10 psxAR sub lineto            % similarly the 11's below
       stroke
       grestore
} def

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

% differenced line

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

% sloped line

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

% free line (init & terminate)

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

end

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