/usr/share/texlive/texmf-dist/metapost/base/mfplain.mp is in texlive-metapost 2015.20160320-1.
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% Public domain.
% This is the plain MetaPost base that looks like what's described
% in The METAFONTbook.
string base_name, base_version; base_name="mfplain"; base_version="0.99";
message "Preloading the plain base, version "&base_version&": preliminaries,";
delimiters (); % this makes parentheses behave like parentheses
def upto = step 1 until enddef; % syntactic sugar
def downto = step -1 until enddef;
def exitunless expr c = exitif not c enddef;
let relax = \; % ignore the word `relax', as in TeX
let \\ = \; % double relaxation is like single
def ]] = ] ] enddef; % right brackets should be loners
def -- = {curl 1}..{curl 1} enddef;
def --- = .. tension infinity .. enddef;
def ... = .. tension atleast 1 .. enddef;
newinternal smoothing, autorounding, turningcheck, granularity;
warningcheck:=1;
tracinglostchars:=1;
smoothing:=1; autorounding:=2; % These are ignored by MetaPost
turningcheck:=1; granularity:=1;
def gobble primary g = enddef; def killtext text t = enddef;
primarydef g gobbled gg = enddef;
def hide(text t) = exitif numeric begingroup t;endgroup; enddef;
def ??? = hide(interim showstopping:=1; showdependencies) enddef;
def stop expr s = message s; gobble readstring enddef;
def interact = % sets up to make "show" commands stop
hide(showstopping:=1; tracingonline:=1) enddef;
def loggingall = % puts tracing info into the log
tracingcommands:=3; tracingtitles:=1; tracingequations:=1;
tracingcapsules:=1; tracingspecs:=2; tracingchoices:=1; tracinglostchars:=1;
tracingstats:=1; tracingoutput:=1; tracingmacros:=1; tracingrestores:=1;
enddef;
def tracingall = % turns on every form of tracing
tracingonline:=1; showstopping:=1; loggingall enddef;
def tracingnone = % turns off every form of tracing
tracingcommands:=0; tracingtitles:=0; tracingequations:=0;
tracingcapsules:=0; tracingspecs:=0; tracingchoices:=0; tracinglostchars:=0;
tracingstats:=0; tracingoutput:=0; tracingmacros:=0; tracingrestores:=0;
enddef;
message " basic constants and mathematical macros,";
% numeric constants
newinternal eps,epsilon,infinity,_;
eps := .00049; % this is a pretty small positive number
epsilon := 1/256/256; % but this is the smallest
infinity := 4095.99998; % and this is the largest
_ := -1; % internal constant to make macros unreadable but shorter
newinternal mitered, rounded, beveled, butt, squared;
mitered:=0; rounded:=1; beveled:=2; % linejoin types
butt:=0; rounded:=1; squared:=2; % linecap types
% pair constants
pair right,left,up,down,origin;
origin=(0,0); up=-down=(0,1); right=-left=(1,0);
% path constants
path quartercircle,halfcircle,fullcircle,unitsquare;
fullcircle = makepath pencircle;
halfcircle = subpath (0,4) of fullcircle;
quartercircle = subpath (0,2) of fullcircle;
unitsquare=(0,0)--(1,0)--(1,1)--(0,1)--cycle;
% transform constants
transform identity;
for z=origin,right,up: z transformed identity = z; endfor
% color constants
color black, white, red, green, blue;
black = (0,0,0);
white = (1,1,1);
red = (1,0,0);
green = (0,1,0);
blue = (0,0,1);
% picture constants
picture blankpicture,unitpixel;
blankpicture=nullpicture;
unitpixel=nullpicture; addto unitpixel contour unitsquare;
% string constants
string ditto; ditto = char 34; % ASCII double-quote mark
% pen constants
def capsule_def(suffix s) primary u = def s = u enddef enddef;
pen pensquare,penrazor,penspeck;
pensquare = makepen(unitsquare shifted -(.5,.5));
penrazor = makepen((-.5,0)--(.5,0)--cycle);
penspeck=pensquare scaled eps;
% nullary operators
vardef whatever = save ?; ? enddef;
% unary operators
let abs = length;
vardef round primary u = u enddef;
vardef hround primary x = x enddef;
vardef vround primary y = y enddef;
vardef ceiling primary x = -floor(-x) enddef;
vardef byte primary s =
if string s: ASCII fi s enddef;
vardef dir primary d = right rotated d enddef;
vardef unitvector primary z = z/abs z enddef;
vardef inverse primary T =
transform T_; T_ transformed T = identity; T_ enddef;
vardef counterclockwise primary c =
if turningnumber c <= 0: reverse fi c enddef;
vardef tensepath expr r =
for k=0 upto length r - 1: point k of r --- endfor
if cycle r: cycle else: point infinity of r fi enddef;
% binary operators
primarydef x mod y = (x-y*floor(x/y)) enddef;
primarydef x div y = floor(x/y) enddef;
primarydef w dotprod z = (xpart w * xpart z + ypart w * ypart z) enddef;
primarydef x**y = if y=2: x*x else: takepower y of x fi enddef;
def takepower expr y of x =
if x>0: mexp(y*mlog x)
elseif (x=0) and (y>0): 0
else: 1
if y=floor y:
if y>=0: for n=1 upto y: *x endfor
else: for n=_ downto y: /x endfor
fi
else: hide(errmessage "Undefined power: " & decimal x&"**"&decimal y)
fi fi enddef;
vardef direction expr t of p =
postcontrol t of p - precontrol t of p enddef;
vardef directionpoint expr z of p =
a_:=directiontime z of p;
if a_<0: errmessage("The direction doesn't occur"); fi
point a_ of p enddef;
secondarydef p intersectionpoint q =
begingroup save x_,y_; (x_,y_)=p intersectiontimes q;
if x_<0: errmessage("The paths don't intersect"); origin
else: .5[point x_ of p, point y_ of q] fi endgroup
enddef;
tertiarydef p softjoin q =
begingroup c_:=fullcircle scaled 2join_radius shifted point 0 of q;
a_:=ypart(c_ intersectiontimes p); b_:=ypart(c_ intersectiontimes q);
if a_<0:point 0 of p{direction 0 of p} else: subpath(0,a_) of p fi
... if b_<0:{direction infinity of q}point infinity of q
else: subpath(b_,infinity) of q fi endgroup enddef;
newinternal join_radius,a_,b_; path c_;
% special operators
vardef incr suffix $ = $:=$+1; $ enddef;
vardef decr suffix $ = $:=$-1; $ enddef;
def reflectedabout(expr w,z) = % reflects about the line w..z
transformed
begingroup transform T_;
w transformed T_ = w; z transformed T_ = z;
xxpart T_ = -yypart T_; xypart T_ = yxpart T_; % T_ is a reflection
T_ endgroup enddef;
def rotatedaround(expr z, d) = % rotates d degrees around z
shifted -z rotated d shifted z enddef;
let rotatedabout = rotatedaround; % for roundabout people
vardef min(expr u)(text t) = % t is a list of numerics, pairs, or strings
save u_; setu_ u; for uu = t: if uu<u_: u_:=uu; fi endfor
u_ enddef;
vardef max(expr u)(text t) = % t is a list of numerics, pairs, or strings
save u_; setu_ u; for uu = t: if uu>u_: u_:=uu; fi endfor
u_ enddef;
def setu_ primary u =
if pair u: pair u_ elseif string u: string u_ fi;
u_=u enddef;
def flex(text t) = % t is a list of pairs
hide(n_:=0; for z=t: z_[incr n_]:=z; endfor
dz_:=z_[n_]-z_1)
z_1 for k=2 upto n_-1: ...z_[k]{dz_} endfor ...z_[n_] enddef;
newinternal n_; pair z_[],dz_;
def superellipse(expr r,t,l,b,s)=
r{up}...(s[xpart t,xpart r],s[ypart r,ypart t]){t-r}...
t{left}...(s[xpart t,xpart l],s[ypart l,ypart t]){l-t}...
l{down}...(s[xpart b,xpart l],s[ypart l,ypart b]){b-l}...
b{right}...(s[xpart b,xpart r],s[ypart r,ypart b]){r-b}...cycle enddef;
vardef interpath(expr a,p,q) =
for t=0 upto length p-1: a[point t of p, point t of q]
..controls a[postcontrol t of p, postcontrol t of q]
and a[precontrol t+1 of p, precontrol t+1 of q] .. endfor
if cycle p: cycle
else: a[point infinity of p, point infinity of q] fi enddef;
vardef solve@#(expr true_x,false_x)= % @#(true_x)=true, @#(false_x)=false
tx_:=true_x; fx_:=false_x;
forever: x_:=.5[tx_,fx_]; exitif abs(tx_-fx_)<=tolerance;
if @#(x_): tx_ else: fx_ fi :=x_; endfor
x_ enddef; % now x_ is near where @# changes from true to false
newinternal tolerance, tx_,fx_,x_; tolerance:=.1;
message " macros for converting units,";
newinternal bpppix_, bp_per_pixel; % drawing is done in `pixel' units
bpppix_:=0.02;
mm*bpppix_=2.83464; pt*bpppix_=0.99626;
dd*bpppix_=1.06601; bp*bpppix_=1;
cm*bpppix_=28.34645; pc*bpppix_=11.95517;
cc*bpppix_=12.79213; in*bpppix_=72;
mm#=2.84528; pt#=1; dd#=1.07001; bp#=1.00375;
cm#=28.45276; pc#=12; cc#=12.84010; in#=72.27;
newinternal hppp, vppp;
hppp:=pt; vppp:=pt;
newinternal blacker, o_correction; % device-oriented corrections
def define_pixels(text t) =
forsuffixes $=t: $:=$.#*pt; endfor enddef;
def define_blacker_pixels(text t) =
forsuffixes $=t: $:=$.#*pt+blacker; endfor enddef;
def define_corrected_pixels(text t) =
forsuffixes $=t: $:=$.#*pt*o_correction; endfor enddef;
def define_whole_pixels = define_pixels enddef;
def define_whole_vertical_pixels = define_pixels enddef;
def define_good_x_pixels = define_pixels enddef;
def define_good_y_pixels = define_pixels enddef;
def define_whole_blacker_pixels = define_blacker_pixels enddef;
def define_whole_vertical_blacker_pixels = define_blacker_pixels enddef;
def define_horizontal_corrected_pixels = define_corrected_pixels enddef;
def lowres_fix(text t) expr ratio = enddef;
message " macros and tables for various modes of operation,";
transform currenttransform;
def t_ = transformed currenttransform enddef;
let o_=\; let _o_=\;
def mode_setup =
if unknown mode: mode=proof; fi
numeric aspect_ratio; transform currenttransform;
scantokens if string mode:("input "&mode) else: mode_name[mode] fi;
if unknown mag: mag=1; fi
if unknown aspect_ratio: aspect_ratio=1; fi
bp_per_pixel:=bpppix_*mag;
scantokens extra_setup; % the user's special last-minute adjustments
if unknown currenttransform: currenttransform=identity; fi
clearit;
pickup pencircle scaled (.4pt+blacker);
enddef;
def smode = string mode; mode enddef;
string extra_setup, mode_name[];
extra_setup=""; % usually there's nothing special to do
vardef magstep primary m = mexp(46.67432m) enddef;
def mode_def suffix $ =
$:=incr number_of_modes;
mode_name[$]:=str$ & "_";
expandafter quote def scantokens mode_name[$] enddef;
newinternal number_of_modes;
newinternal proofing; % <0 to supress output; >1 to do labels
color proofcolor; % color for output when proofing>0
proofcolor =.3[white,black];
color background;
background = white;
% proof mode: for initial design of characters
mode_def proof =
proofing:=2; % yes, we're making full proofs
fontmaking:=0; % no, we're not making a font
tracingtitles:=1; % yes, show titles online
blacker:=0; % no additional blackness
o_correction:=1; % no reduction in overshoot
if unknown mag: mag=36; else: mag:=36mag; fi
enddef;
% smoke mode: for label-free proofs to mount on the wall
mode_def smoke =
proof_; % same as proof mode, except:
proofing:=1; % yes, we're making unlabeled proofs
proofcolor:=black; % with solid black pixels
let makebox=maketicks; % make the boxes less obtrusive
if unknown mag: mag=36; else: mag:=36mag; fi
enddef;
% lowres mode: for certain devices that print 200 pixels per inch
mode_def lowres =
proofing:=0; % no, we're not making proofs
fontmaking:=1; % yes, we are making a font
tracingtitles:=0; % no, don't show titles at all
blacker:=0; % no extra blackness with PostScript
o_correction:=1; % no reduction in overshoot
enddef;
localfont:=lowres; % the mode most commonly used to make fonts
% It is not likely that additional modes are needed, but if they are,
% additional mode_def commands should be in another input file that
% gets loaded after the PLAIN base. The auxiliary file should set
% base_version:=base_version&"/localname".
message " macros for drawing and filling,";
def pc_ =
hide(if proofing>0: def pc_=do_pc_ enddef; else: def pc_= enddef; fi) pc_
enddef;
def do_pc_ = withcolor proofcolor enddef;
linejoin:=rounded; % parameters that effect drawing
linecap:=rounded;
miterlimit:=10;
pen currentpen;
picture currentpicture;
def fill expr c = addto currentpicture contour c t_ pc_ enddef;
def draw expr p =
addto currentpicture
if picture p:
also p
else:
doublepath p t_ withpen currentpen
fi
pc_
enddef;
def filldraw expr c =
addto currentpicture contour c t_ withpen currentpen
pc_ enddef;
def drawdot expr z =
addto currentpicture contour makepath currentpen shifted z
t_ pc_ enddef;
def unfill expr c = fill c withcolor background enddef;
def undraw expr p = draw p withcolor background enddef;
def unfilldraw expr c = filldraw c withcolor background enddef;
def undrawdot expr z = drawdot z withcolor background enddef;
def erase text t =
def _e_ = withcolor background hide(def _e_=enddef;) enddef;
t _e_
enddef;
def _e_= enddef;
def cutdraw text t =
begingroup interim linecap:=butt; draw t _e_; endgroup enddef;
def pickup secondary q =
if numeric q: numeric_pickup_ else: pen_pickup_ fi q enddef;
def numeric_pickup_ primary q =
if unknown pen_[q]: errmessage "Unknown pen"; clearpen
else: currentpen:=pen_[q];
pen_lft:=pen_lft_[q];
pen_rt:=pen_rt_[q];
pen_top:=pen_top_[q];
pen_bot:=pen_bot_[q];
currentpen_path:=pen_path_[q] fi; enddef;
def pen_pickup_ primary q =
currentpen:=q;
pen_lft:=xpart penoffset down of currentpen;
pen_rt:=xpart penoffset up of currentpen;
pen_top:=ypart penoffset left of currentpen;
pen_bot:=ypart penoffset right of currentpen;
path currentpen_path; enddef;
newinternal pen_lft,pen_rt,pen_top,pen_bot,pen_count_;
vardef savepen = pen_[incr pen_count_]=currentpen;
pen_lft_[pen_count_]=pen_lft;
pen_rt_[pen_count_]=pen_rt;
pen_top_[pen_count_]=pen_top;
pen_bot_[pen_count_]=pen_bot;
pen_path_[pen_count_]=currentpen_path;
pen_count_ enddef;
def clearpen = currentpen:=nullpen;
pen_lft:=pen_rt:=pen_top:=pen_bot:=0;
path currentpen_path;
enddef;
def clear_pen_memory =
pen_count_:=0;
numeric pen_lft_[],pen_rt_[],pen_top_[],pen_bot_[];
pen currentpen,pen_[];
path currentpen_path, pen_path_[];
enddef;
vardef lft primary x = x + if pair x: (pen_lft,0) else: pen_lft fi enddef;
vardef rt primary x = x + if pair x: (pen_rt,0) else: pen_rt fi enddef;
vardef top primary y = y + if pair y: (0,pen_top) else: pen_top fi enddef;
vardef bot primary y = y + if pair y: (0,pen_bot) else: pen_bot fi enddef;
vardef good.x primary x = x enddef;
vardef good.y primary y = y enddef;
vardef good.lft primary z = z enddef;
vardef good.rt primary z = z enddef;
vardef good.top primary z = z enddef;
vardef good.bot primary z = z enddef;
vardef penpos@#(expr b,d) =
(x@#r-x@#l,y@#r-y@#l)=(b,0) rotated d;
x@#=.5(x@#l+x@#r); y@#=.5(y@#l+y@#r) enddef;
def penstroke text t =
forsuffixes e = l,r: path_.e:=t; endfor
fill path_.l -- reverse path_.r -- cycle enddef;
path path_.l,path_.r;
message " macros for proof labels and rules,";
string defaultfont;
newinternal defaultscale, labeloffset;
defaultfont = "cmr10";
defaultscale := 1;
labeloffset := 3;
vardef makelabel@#(expr s,z) = % puts string s near point z
save p; picture p;
if known z:
p = s infont defaultfont scaled (defaultscale/bp_per_pixel);
draw p shifted (z t_ + labeloffset/bp_per_pixel*laboff@# -
(labxf@#*lrcorner p + labyf@#*ulcorner p
+ (1-labxf@#-labyf@#)*llcorner p
)
) withcolor black;
interim linecap:=rounded;
draw z withpen pencircle scaled (3/bp_per_pixel) withcolor black;
fi
enddef;
string lcode_; % just in case someone refers to this
pair laboff, laboff.lft, laboff.rt, laboff.top, laboff.bot;
laboff.lft=(-1,0); labxf.lft=1; labyf.lft=.5;
laboff.rt =(1,0); labxf.rt =0; labyf.rt =.5;
laboff.bot=(0,-1); labxf.bot=.5; labyf.bot=1;
laboff.top=(0,1); labxf.top=.5; labyf.top=0;
laboff=laboff.top; labxf=labxf.top; labyf=labyf.top;
% There could be fancy code to keep labels from overlapping!
vardef labels@#(text t) =
if proofing>1: forsuffixes $=t:
makelabel@#(str$,z$); endfor
fi enddef;
vardef penlabels@#(text t) =
if proofing>1: forsuffixes $$=l,,r: forsuffixes $=t:
makelabel@#(str$.$$,z$.$$); endfor endfor
fi enddef;
def range expr x = numtok[x] enddef;
def numtok suffix x=x enddef;
tertiarydef m thru n =
m for x=m+1 step 1 until n: , numtok[x] endfor enddef;
def proofrule(expr w,z) =
begingroup interim linecap:=squared;
draw w..z withpen pencircle scaled (.4/bp_per_pixel) withcolor black;
endgroup
enddef;
def screenrule(expr w,z) = enddef;
pen rulepen;
def makegrid(text xlist,ylist) =
xmin_ := min(xlist); xmax_ := max(xlist);
ymin_ := min(ylist); ymax_ := max(ylist);
for x=xlist: proofrule((x,ymin_), (x,ymax_)); endfor
for y=ylist: proofrule((xmin_,y), (xmax_,y)); endfor
enddef;
vardef titlefont suffix $ = enddef;
vardef labelfont suffix $ = defaultfont:=str$ enddef;
vardef grayfont suffix $ = enddef;
vardef slantfont suffix $ = enddef;
def proofoffset primary z = enddef;
vardef proofrulethickness expr x =
rulepen := pencircle scaled x enddef;
message " macros for character and font administration,";
def beginchar(expr c,w_sharp,h_sharp,d_sharp) =
begingroup
charcode:=if known c: byte c else: 0 fi;
charwd:=w_sharp; charht:=h_sharp; chardp:=d_sharp;
w:=charwd*pt; h:=charht*pt; d:=chardp*pt;
charic:=0; clearxy; clearit; clearpen; scantokens extra_beginchar;
enddef;
def italcorr expr x_sharp = if x_sharp>0: charic:=x_sharp fi enddef;
def change_width = enddef;
def endchar =
scantokens extra_endchar;
if proofing>0: makebox(proofrule); fi
chardx:=w; % desired width of the character in pixels
shipit;
endgroup enddef;
string extra_beginchar, extra_endchar;
extra_beginchar=extra_endchar="";
def makebox(text r) =
for y=0,h,-d: r((0,y),(w,y)); endfor % horizontals
for x=0,w: r((x,-d),(x,h)); endfor % verticals
if charic<>0: r((w+charic*pt,h),(w+charic*pt,.5h)); fi
enddef;
def maketicks(text r) =
for y=0,h,-d: r((0,y),(10,y)); r((w-10,y),(w,y)); endfor
for x=0,w: r((x,10-d),(x,-d)); r((x,h-10),(x,h)); endfor
if charic<>0: r((w+charic*pt,h-10),(w+charic*pt,h)); fi
enddef;
def font_size expr x = designsize:=x enddef;
def font_slant expr x = fontdimen 1: x enddef;
def font_normal_space expr x = fontdimen 2: x enddef;
def font_normal_stretch expr x = fontdimen 3: x enddef;
def font_normal_shrink expr x = fontdimen 4: x enddef;
def font_x_height expr x = fontdimen 5: x enddef;
def font_quad expr x = fontdimen 6: x enddef;
def font_extra_space expr x = fontdimen 7: x enddef;
def font_identifier expr x = font_identifier_:=x enddef;
def font_coding_scheme expr x = font_coding_scheme_:=x enddef;
string font_identifier_, font_coding_scheme_;
font_identifier_=font_coding_scheme_="UNSPECIFIED";
message "and a few last-minute items.";
vardef z@#=(x@#,y@#) enddef;
def openit = enddef;
def showit = enddef;
def clearxy = save x,y enddef;
def clearit = currentpicture:=nullpicture enddef;
def shipit =
if proofing>=0:
shipout currentpicture transformed
(identity shifted (xoffset,yoffset) scaled bp_per_pixel)
fi
enddef;
def cull text t = enddef;
def cullit = enddef;
newinternal xoffset, yoffset;
def screenchars = enddef;
def screenstrokes = enddef;
def imagerules = enddef;
def gfcorners = enddef;
def nodisplays = enddef;
def notransforms = let t_ = \ enddef;
let bye = end; outer end,bye;
clear_pen_memory; % initialize the `savepen' mechanism
mode_setup; % establish proof mode as the default
numeric mode,mag; % but leave mode and mag undefined
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