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Diffstat (limited to 'Master/texmf-dist/metapost/base/plain.mp')
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diff --git a/Master/texmf-dist/metapost/base/plain.mp b/Master/texmf-dist/metapost/base/plain.mp new file mode 100644 index 00000000000..bc0db8a57c1 --- /dev/null +++ b/Master/texmf-dist/metapost/base/plain.mp @@ -0,0 +1,552 @@ +% This file gives the macros for plain MetaPost +% It contains all the features of plain METAFONT except those specific to +% font-making. (See The METAFONTbook by D.E. Knuth). +% There are also a number of macros for labeling figures, etc. +string base_name, base_version; base_name="plain"; base_version="0.64"; + +message "Preloading the plain mem file, version "&base_version; + +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; + +def gobble primary g = 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; + +warningcheck:=1; +tracinglostchars:=1; + +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; + + + +%% dash patterns + +vardef dashpattern(text t) = + save on, off, w; + let on=_on_; + let off=_off_; + w = 0; + nullpicture t +enddef; + +tertiarydef p _on_ d = + begingroup save pic; + picture pic; pic=p; + addto pic doublepath (w,w)..(w+d,w); + w := w+d; + pic shifted (0,d) + endgroup +enddef; + +tertiarydef p _off_ d = + begingroup w:=w+d; + p shifted (0,d) + endgroup +enddef; + + + +%% 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, background; +black = (0,0,0); +white = (1,1,1); +red = (1,0,0); +green = (0,1,0); +blue = (0,0,1); +background = white; % The user can reset this + +% picture constants +picture blankpicture,evenly,withdots; +blankpicture=nullpicture; % `display blankpicture...' +evenly=dashpattern(on 3 off 3); % `dashed evenly' +withdots=dashpattern(off 2.5 on 0 off 2.5); % `dashed withdots' + +% string constants +string ditto, EOF; +ditto = char 34; % ASCII double-quote mark +EOF = char 0; % end-of-file for readfrom and write..to + +% pen constants +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 = + if numeric u: floor(u+.5) + elseif pair u: (round xpart u, round ypart u) + else: u fi 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; + +vardef center primary p = .5[llcorner p, urcorner p] 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_; + + +path cuttings; % what got cut off + +tertiarydef a cutbefore b = % tries to cut as little as possible + begingroup save t; + (t, whatever) = a intersectiontimes b; + if t<0: + cuttings:=point 0 of a; + a + else: cuttings:= subpath (0,t) of a; + subpath (t,length a) of a + fi + endgroup +enddef; + +tertiarydef a cutafter b = + reverse (reverse a cutbefore b) + hide(cuttings:=reverse cuttings) +enddef; + + + +% 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:=.01; + +vardef buildcycle(text ll) = + save ta_, tb_, k_, i_, pp_; path pp_[]; + k_=0; + for q=ll: pp_[incr k_]=q; endfor + i_=k_; + for i=1 upto k_: + (ta_[i], length pp_[i_]-tb_[i_]) = + pp_[i] intersectiontimes reverse pp_[i_]; + if ta_[i]<0: + errmessage("Paths "& decimal i &" and "& decimal i_ &" don't intersect"); + fi + i_ := i; + endfor + for i=1 upto k_: subpath (ta_[i],tb_[i]) of pp_[i] .. endfor + cycle +enddef; + + + +%% units of measure + +mm=2.83464; pt=0.99626; dd=1.06601; bp:=1; +cm=28.34645; pc=11.95517; cc=12.79213; in:=72; + +vardef magstep primary m = mexp(46.67432m) enddef; + + + +%% macros for drawing and filling + +def drawoptions(text t) = + def _op_ = t enddef +enddef; + +linejoin:=rounded; % parameters that effect drawing +linecap:=rounded; +miterlimit:=10; + +drawoptions(); + +pen currentpen; +picture currentpicture; + +def fill expr c = addto currentpicture contour c _op_ enddef; +def draw expr p = + addto currentpicture + if picture p: + also p + else: + doublepath p withpen currentpen + fi + _op_ +enddef; +def filldraw expr c = + addto currentpicture contour c withpen currentpen + _op_ enddef; +def drawdot expr z = + addto currentpicture contour makepath currentpen shifted z + _op_ 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; + +vardef image(text t) = + save currentpicture; + picture currentpicture; + currentpicture := nullpicture; + t; + currentpicture +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 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; + + + +%% High level drawing commands + +newinternal ahlength, ahangle; +ahlength := 4; % default arrowhead length 4bp +ahangle := 45; % default head angle 45 degrees + +vardef arrowhead expr p = + save q,e; path q; pair e; + e = point length p of p; + q = gobble(p shifted -e cutafter makepath(pencircle scaled 2ahlength)) + cuttings; + (q rotated .5ahangle & reverse q rotated -.5ahangle -- cycle) shifted e +enddef; + +path _apth; +def drawarrow expr p = _apth:=p; _finarr enddef; +def drawdblarrow expr p = _apth:=p; _findarr enddef; + +def _finarr text t = + draw _apth t; + filldraw arrowhead _apth t +enddef; + +def _findarr text t = + draw _apth t; + filldraw arrowhead _apth withpen currentpen t; + filldraw arrowhead reverse _apth withpen currentpen t +enddef; + + + +%% macros for labels + +newinternal bboxmargin; bboxmargin:=2bp; + +vardef bbox primary p = + llcorner p-(bboxmargin,bboxmargin) -- lrcorner p+(bboxmargin,-bboxmargin) + -- urcorner p+(bboxmargin,bboxmargin) -- ulcorner p+(-bboxmargin,bboxmargin) + -- cycle +enddef; + +string defaultfont; +newinternal defaultscale, labeloffset; +defaultfont = "cmr10"; +defaultscale := 1; +labeloffset := 3bp; + +vardef thelabel@#(expr s,z) = % Position s near z + save p; picture p; + if picture s: p=s + else: p = s infont defaultfont scaled defaultscale + fi; + p shifted (z + labeloffset*laboff@# - + (labxf@#*lrcorner p + labyf@#*ulcorner p + + (1-labxf@#-labyf@#)*llcorner p + ) + ) +enddef; + +def label = draw thelabel enddef; +newinternal dotlabeldiam; dotlabeldiam:=3bp; +vardef dotlabel@#(expr s,z) = + label@#(s,z); + interim linecap:=rounded; + draw z withpen pencircle scaled dotlabeldiam; +enddef; +def makelabel = dotlabel enddef; + +pair laboff, laboff.lft, laboff.rt, laboff.top, laboff.bot; +pair laboff.ulft, laboff.llft, laboff.urt, laboff.lrt; +laboff =(0,0); labxf =.5; labyf =.5; +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.ulft=(-.7,.7);labxf.ulft=1; labyf.ulft=0; +laboff.urt=(.7,.7); labxf.urt=0; labyf.urt=0; +laboff.llft=-(.7,.7);labxf.llft=1; labyf.llft=1; +laboff.lrt=(.7,-.7); labxf.lrt=0; labyf.lrt=1; + +vardef labels@#(text t) = + forsuffixes $=t: + label@#(str$,z$); endfor + enddef; +vardef dotlabels@#(text t) = + forsuffixes $=t: + dotlabel@#(str$,z$); endfor + enddef; +vardef penlabels@#(text t) = + forsuffixes $$=l,,r: forsuffixes $=t: + makelabel@#(str$.$$,z$.$$); endfor endfor + 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; + + + +%% Overall adminstration + +string extra_beginfig, extra_endfig; +extra_beginfig = extra_endfig = ""; + +def beginfig(expr c) = + begingroup + charcode:=c; + clearxy; clearit; clearpen; + pickup defaultpen; + drawoptions(); + scantokens extra_beginfig; +enddef; + +def endfig = + scantokens extra_endfig; + shipit; + endgroup +enddef; + + +%% last-minute items + +vardef z@#=(x@#,y@#) enddef; + +def clearxy = save x,y enddef; +def clearit = currentpicture:=nullpicture enddef; +def shipit = shipout currentpicture enddef; + +let bye = end; outer end,bye; + +clear_pen_memory; % initialize the `savepen' mechanism +clearit; + +newinternal defaultpen; +pickup pencircle scaled .5bp; % set default line width +defaultpen := savepen; |