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%% tgbx0004.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_biggbrace (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:=11u#;
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 :=4dh-rule_thickness#;
save bold; numeric bold; bold:=curve#;
save min_breadth; numeric min_breadth;
min_breadth:=rule_thickness#+.2dw;
save max_breadth; numeric max_breadth;
max_breadth:=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;
|
