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+%% tgbx0001.mp
+%% Copyright 2006 Tommy Ekola <tek@kth.se>
+%
+% This work may be distributed and/or modified under the conditions of
+% the LaTeX Project Public License, either version 1.3 of this license
+% or (at your option) any later version. The latest version of this
+% license is in http://www.latex-project.org/lppl.txt
+%
+% This work has the LPPL maintenance status `maintained'. The Current
+% Maintainer of this work is Tommy Ekola. The Base Interpreter is
+% MetaPost.
+
+vardef setup_Bigbrace (expr source_file, cmdname) =
+
+ scantokens ("input tgbx0000");
+
+ scantokens ("input " & source_file);
+
+ expandafter def scantokens cmdname expr p =
+ scantokens (cmdname & "__tgbxww")(p)
+ enddef;
+
+ expandafter vardef scantokens (cmdname & "__tgbxww " & "(expr apth) " &
+ "text text_ = " &
+
+ "save u, designsize, curve, stem, hair, rule_thickness, eps, fine, " &
+ "fudge;" &
+
+ "u# := " & decimal u# & ";" &
+ "designsize := " & decimal designsize & ";" &
+ "curve# := " & decimal curve# & ";" &
+ "stem# := " & decimal stem# & ";" &
+ "hair# := " & decimal hair# & ";" &
+ "rule_thickness# := " & decimal rule_thickness# & ";" &
+ "eps := " & decimal eps & ";" &
+ "fine# := " & decimal fine# & ";" &
+ "fudge := " & decimal fudge & ";" &
+
+ % Time for middle piece
+
+ "save st; numeric st;" &
+ "if unknown " & cmdname & "_middle_time:" &
+ " st := arctime (arclength apth)/2 of apth;" &
+ "else: st:=" & cmdname & "_middle_time; fi")
+
+ save prevpen;
+ prevpen:=savepen;
+
+ save w; numeric w; w:=10u#;
+ save h; numeric h; h:=rule_thickness#;
+ save dh; numeric dh; dh:=0.6designsize;
+ save dw; numeric dw; dw:=curve#-stem#;
+ save d; numeric d; d :=3dh-rule_thickness#;
+ save bold; numeric bold; bold:=curve#;
+ save min_breadth; numeric min_breadth;
+ min_breadth:=rule_thickness#;
+ save max_breadth; numeric max_breadth;
+ max_breadth:=.5[stem#,bold];
+
+ save x,y;
+ numeric x[],x[]',x[]l,x[]'l,x[]r,x[]'r,
+ y[],y[]',y[]l,y[]'l,y[]r,y[]'r;
+
+ if fine#>fudge*hair#:
+ fine# := fudge*hair#;
+ fi
+ pickup if fine#=0: nullpen else: pencircle scaled fine# fi;
+
+ forsuffixes $ = 1,1',4,4',7,7': penpos$(min_breadth,0); endfor
+ forsuffixes $ = 2,3,5,6: penpos$(max_breadth,0); endfor
+ x2=x3=x5=x6; x1=x1'=x7=x7'=w-x4=w-x4';
+ lft x4l=1.5u#-.5min_breadth; lft x2l=.5w-.5max_breadth;
+ top y1=h; bot y7=1-d; .5[y4,y4']=.5[y1,y7]=.5[y2,y6]=.5[y3,y5];
+ y1-y2=y3-y4=(y1-y4)/4;
+ y1-y1'=y4-y4'=y7'-y7=min_breadth-fine#;
+
+ save mapto, n;
+ vardef mapto(text t) =
+ hide(numeric n; n:=0;
+ numeric x,x_[],y,y_[];
+ for z=t: z_[incr n]:=z; endfor;
+ transform T;
+ z_2 = z_1 transformed T;
+ z_4 = z_3 transformed T;
+ z_6 = z_5 transformed T;)
+ T
+ enddef;
+
+ % The bottom part of the brace
+
+ save bottom_part;
+ vardef bottom_part(expr T) =
+ filldraw (z6l{down}...{3(x7l-x6l),y7-y6}z7l
+ --z7r--z7'r{3(x6r-x7r),y6-y7'}...{up}z6r--z6l & cycle)
+ transformed T text_;
+ enddef;
+
+ save f;
+ vardef f(expr s) =
+ abs(point 0 of apth - (point s of apth + abs(x7-x6)
+ *(unitvector (direction s of apth) rotated 90)))
+ < abs(z7 - z6)
+ enddef;
+
+ save tolerence; tolerence := epsilon;
+ save s; numeric s;
+
+ save T; transform T; % transform for the bottom part
+ if arclength apth = 0:
+ T:=identity shifted (point (length apth) of apth - z7r);
+ elseif arclength apth < y1-y2+y3-y5+y6-y7:
+ T:=mapto(z6l,
+ .25[point 0 of apth, point (length apth) of apth]+
+ +abs(x7r-x6l)*(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90),
+ z6r,
+ .25[point 0 of apth, point (length apth) of apth]+
+ +abs(x7r-x6r)*(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90),
+ z7r,
+ point 0 of apth);
+ else:
+ s := solve f(0,length apth);
+ T := mapto(z6l,
+ point s of apth
+ +abs(x7r-x6l)
+ *(unitvector (direction s of apth) rotated 90),
+ z6r,
+ point s of apth
+ +abs(x7r-x6r)
+ *(unitvector (direction s of apth) rotated 90),
+ z7r,
+ point 0 of apth);
+ fi
+ bottom_part(T);
+
+ % The top part of the brace
+
+ save top_part;
+ vardef top_part(expr T) =
+ filldraw (z1l{3(x2l-x1l),y2-y1}...{down}z2l
+ --z2r{up}...{3(x1r-x2r),y1'-y2}z1'r--z1r--cycle)
+ transformed T text_;
+ enddef;
+
+ save g;
+ vardef g(expr t) =
+ abs(point (length apth) of apth
+ - (point t of apth + abs(x1r-x2)
+ *(unitvector (direction t of apth) rotated 90)))
+ < abs(z1r-z2)
+ enddef;
+
+ save t; numeric t;
+
+ transform T; % transform the top part
+ if arclength apth = 0:
+ T:=identity shifted (point (length apth) of apth - z1r);
+ elseif arclength apth < y1-y2+y3-y5+y6-y7:
+ T := mapto(z2l,
+ .75[point 0 of apth, point (length apth) of apth] +
+ abs(x1r-x2l)*(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90),
+ z2r,
+ .75[point 0 of apth, point (length apth) of apth] +
+ abs(x1r-x2r)*(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90),
+ z1r,
+ point (length apth) of apth);
+ else:
+ t := solve g(length apth,0);
+ T := mapto(z2l,
+ point t of apth
+ +abs(x1r-x2l)
+ *(unitvector (direction t of apth) rotated 90),
+ z2r,
+ point t of apth
+ +abs(x1r-x2r)
+ *(unitvector (direction t of apth) rotated 90),
+ z1r,
+ point (length apth) of apth);
+ fi
+ top_part(T);
+
+ % The lower part of the middle piece
+
+ save middle_part_bottom;
+ vardef middle_part_bottom(expr T) =
+ (.5[z4r,z4'r]{3(x5r-x4r),y5-.5[y4,y4']}...{down}z5r
+ --z5l{up}...{3(x4l-x5l),y4'-y5}z4'l) transformed T
+ enddef;
+
+ save ff;
+ vardef ff(expr ss) =
+ abs(point st of apth
+ +abs(x7r-x4)*(unitvector (direction st of apth) rotated 90)
+ -(point ss of apth + abs(x7r-x5)
+ *(unitvector (direction ss of apth) rotated 90)))
+ > abs(z4-z5)
+ enddef;
+
+ save ss; numeric ss;
+
+ if arclength apth = 0:
+ T:=identity shifted (point (length apth) of apth - z4'l);
+ elseif arclength apth < y1-y2+y3-y5+y6-y7:
+ T:=mapto(.5[z4r,z4'r],
+ .5[point 0 of apth, point (length apth) of apth]+
+ abs(x1r-.5[x4r,x4'r])
+ *(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90),
+ z5l,
+ .25[point 0 of apth, point (length apth) of apth]+
+ abs(x1r-x5l)*(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90),
+ z5r,
+ .25[point 0 of apth, point (length apth) of apth]+
+ abs(x1r-x5r)*(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90));
+ else:
+ ss := solve ff(0,st);
+ T:=mapto(.5[z4r,z4'r],
+ point st of apth
+ +abs(x1r-.5[x4r,x4'r])
+ *(unitvector (direction st of apth) rotated 90),
+ z5l,
+ point ss of apth
+ +abs(x1r-x5l)
+ *(unitvector (direction ss of apth) rotated 90),
+ z5r,
+ point ss of apth
+ +abs(x1r-x5r)
+ *(unitvector (direction ss of apth) rotated 90));
+ fi
+
+ save pb; path pb;
+ pb:=middle_part_bottom(T);
+
+ % The upper part of the middle piece
+
+ save middle_part_top;
+ vardef middle_part_top(expr T) =
+ (z4l{3(x3l-x4l),y3-y4}...{up}z3l--z3r{down}
+ ...{3(x4r-x3r),.5[y4,y4']-y3}.5[z4r,z4'r]) transformed T
+ enddef;
+
+ save gg;
+ vardef gg(expr tt) =
+ abs(point st of apth
+ +abs(x1r-x4)*(unitvector (direction st of apth) rotated 90)
+ -(point tt of apth + abs(x1r-x3)
+ *(unitvector (direction tt of apth) rotated 90)))
+ > abs(z3-z4)
+ enddef;
+
+ save tt; numeric tt;
+
+ if arclength apth = 0:
+ T:=identity shifted (point (length apth) of apth - z4l);
+ elseif arclength apth < y1-y2+y3-y5+y6-y7:
+ T:=mapto(.5[z4r,z4'r],
+ .5[point 0 of apth, point (length apth) of apth]+
+ abs(x1r-.5[x4r,x4'r])
+ *(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90),
+ z3l,
+ .75[point 0 of apth, point (length apth) of apth]+
+ abs(x1r-x3l)*(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90),
+ z3r,
+ .75[point 0 of apth, point (length apth) of apth]+
+ abs(x1r-x3r)*(unitvector (point (length apth) of apth -
+ point 0 of apth) rotated 90));
+ else:
+ tt := solve gg(length apth, st);
+ T := mapto(.5[z4r,z4'r],
+ point st of apth
+ +abs(x1r-.5[x4r,x4'r])
+ *(unitvector (direction st of apth) rotated 90),
+ z3l,
+ point tt of apth
+ +abs(x1r-x3l)
+ *(unitvector (direction tt of apth) rotated 90),
+ z3r,
+ point tt of apth
+ +abs(x1r-x3r)
+ *(unitvector (direction tt of apth) rotated 90));
+ fi
+
+ save ptt; path ptt;
+ ptt:=middle_part_top(T);
+
+ filldraw pb--ptt--cycle text_;
+
+ % The extension parts
+
+ save extension_part, stp;
+ vardef extension_part(expr ss,tt) =
+ numeric stp; stp:=(ss-tt) div 5pt;
+ if stp=0: stp:=1; fi
+ stp:=(ss-tt)/stp;
+
+ pickup pencircle scaled (x5r-x5l+fine#);
+
+ if stp > 0:
+ draw for uu=ss step stp until tt-stp:
+ point uu of apth + abs(x1r-x6)
+ *(unitvector (direction uu of apth) rotated 90)
+ {direction uu of apth} ..
+ endfor
+ {direction tt of apth}
+ point tt of apth + abs(x1r-x6)
+ *(unitvector (direction tt of apth) rotated 90) text_;
+ fi
+ enddef;
+
+ if arclength apth > y1-y2+y3-y5+y6-y7:
+ extension_part(s,ss); extension_part(tt,t);
+ fi
+
+ pickup prevpen;
+
+ enddef;
+
+enddef;
+