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Diffstat (limited to 'metapost/context/base/mpii/mp-tool.mpii')
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diff --git a/metapost/context/base/mpii/mp-tool.mpii b/metapost/context/base/mpii/mp-tool.mpii new file mode 100644 index 000000000..f476361c7 --- /dev/null +++ b/metapost/context/base/mpii/mp-tool.mpii @@ -0,0 +1,2816 @@ +%D \module +%D [ file=mp-tool.mpii, +%D version=1998.02.15, +%D title=\CONTEXT\ \METAPOST\ graphics, +%D subtitle=auxiliary macros, +%D author=Hans Hagen, +%D date=\currentdate, +%D copyright={PRAGMA ADE \& \CONTEXT\ Development Team}] +%C +%C This module is part of the \CONTEXT\ macro||package and is +%C therefore copyrighted by \PRAGMA. See mreadme.pdf for +%C details. + +% def loadfile(expr name) = scantokens("input " & name & ";") enddef ; + +if known context_tool : endinput ; fi ; + +boolean context_tool ; context_tool := true ; + +let @## = @# ; + +%D New, version number testing: +%D +%D \starttyping +%D fill fullcircle scaled 2cm withcolor if mpversiongt("0.6") : red else : green fi ; +%D fill fullcircle scaled 1cm withcolor if mpversionlt(0.6) : blue else : white fi ; +%D \stoptyping + +if not known mpversion : string mpversion ; mpversion := "0.641" ; fi ; + +newinternal metapostversion ; metapostversion := scantokens(mpversion) ; + +% vardef mpversiongt(expr s) = +% scantokens (mpversion & " > " & if numeric s : decimal s else : s fi) +% enddef ; +% vardef mpversionlt(expr s) = +% scantokens (mpversion & " < " & if numeric s : decimal s else : s fi) +% enddef ; +% vardef mpversioneq(expr s) = +% scantokens (mpversion & " = " & if numeric s : decimal s else : s fi) +% enddef ; + +%D More interesting: +%D +%D \starttyping +%D fill fullcircle scaled 4cm withcolor if mpversiongt("0.6") : red else : green fi ; +%D fill fullcircle scaled 2cm withcolor if mpversionlt(0.6) : blue else : white fi ; +%D fill fullcircle scaled 1cm withcolor if mpversioncmp(0.6,">=") : yellow else : black fi ; +%D \stoptyping + +vardef mpversioncmp(expr s, c) = + scantokens (mpversion & c & if numeric s : decimal s else : s fi) +enddef ; + +vardef mpversionlt (expr s) = mpversioncmp(s, "<") enddef ; +vardef mpversioneq (expr s) = mpversioncmp(s, "=") enddef ; +vardef mpversiongt (expr s) = mpversioncmp(s, ">") enddef ; + +%D We always want \EPS\ conforming output, so we say: + +prologues := 1 ; +warningcheck := 0 ; +mpprocset := 1 ; + +%D Namespace handling: + +% let exclamationmark = ! ; +% let questionmark = ? ; +% +% def unprotect = +% let ! = relax ; +% let ? = relax ; +% enddef ; +% +% def protect = +% let ! = exclamationmark ; +% let ? = questionmark ; +% enddef ; +% +% unprotect ; +% +% mp!some!module = 10 ; show mp!some!module ; show somemodule ; +% +% protect ; + +string space ; space := char 32 ; +string CRLF ; CRLF := char 10 & char 13 ; + +vardef ddecimal primary p = + decimal xpart p & " " & decimal ypart p +enddef ; + +%D Plain compatibility: + +string plain_compatibility_data ; plain_compatibility_data := "" ; + +def startplaincompatibility = + begingroup ; + scantokens plain_compatibility_data ; +enddef ; + +def stopplaincompatibility = + endgroup ; +enddef ; + +% is now built in +% +% extra_endfig := extra_endfig +% & "special " +% & "(" +% & ditto +% & "%%HiResBoundingBox: " +% & ditto +% & "&ddecimal llcorner currentpicture" +% & "&space" +% & "&ddecimal urcorner currentpicture" +% & ");"; + +%D More neutral: + +let triplet = rgbcolor ; +let quadruplet = cmykcolor ; + +%D Crap (experimental, not used): + +def forcemultipass = + % extra_endfig := extra_endfig & "special(" & ditto & "%%MetaPostOption: multipass" & ditto & ");" ; +enddef ; + +%D Colors: + +newinternal nocolormodel ; nocolormodel := 1 ; +newinternal greycolormodel ; greycolormodel := 3 ; +newinternal graycolormodel ; graycolormodel := 3 ; +newinternal rgbcolormodel ; rgbcolormodel := 5 ; +newinternal cmykcolormodel ; cmykcolormodel := 7 ; + +let grayscale = numeric ; +let greyscale = numeric ; + +vardef colorpart expr c = + if not picture c : + 0 + elseif colormodel c = greycolormodel : + greypart c + elseif colormodel c = rgbcolormodel : + (redpart c,greenpart c,bluepart c) + elseif colormodel c = cmykcolormodel : + (cyanpart c,magentapart c,yellowpart c,blackpart c) + else : + 0 % black + fi +enddef ; + +vardef colorlike(text c) text v = % colorlike(a) b, c, d ; + save _p_ ; picture _p_ ; + forsuffixes i=v : + _p_ := image(draw origin withcolor c ;) ; % intercept pre and postscripts + if (colormodel _p_ = cmykcolormodel) : + cmykcolor i ; + elseif (colormodel _p_ = rgbcolormodel) : + rgbcolor i ; + else : + greycolor i ; + fi ; + endfor ; +enddef ; + +%D Also handy (when we flush colors): + +vardef dddecimal primary c = + decimal redpart c & " " & decimal greenpart c & " " & decimal bluepart c +enddef ; + +vardef ddddecimal primary c = + decimal cyanpart c & " " & decimal magentapart c & " " & decimal yellowpart c & " " & decimal blackpart c +enddef ; + +vardef colordecimals primary c = + if cmykcolor c : + decimal cyanpart c & ":" & decimal magentapart c & ":" & decimal yellowpart c & ":" & decimal blackpart c + elseif rgbcolor c : + decimal redpart c & ":" & decimal greenpart c & ":" & decimal bluepart c + else : + decimal c + fi +enddef ; + +%D We have standardized data file names: + +def job_name = + jobname +enddef ; + +def data_mpd_file = + job_name & "-mp.mpd" +enddef ; + +%D Because \METAPOST\ has a hard coded limit of 4~datafiles, +%D we need some trickery when we have multiple files. + +if unknown collapse_data : + boolean collapse_data ; + collapse_data := false ; +fi ; + +boolean savingdata ; savingdata := false ; +boolean savingdatadone ; savingdatadone := false ; + +def savedata expr txt = + write if collapse_data : + txt + else : + if savingdata : txt else : "\MPdata{" & decimal charcode & "}{" & txt & "}" fi & "%" + fi to data_mpd_file ; +enddef ; + +def startsavingdata = + savingdata := true ; + savingdatadone := true ; + if collapse_data : + write "\MPdata{" & decimal charcode & "}{%" to data_mpd_file ; + fi ; +enddef ; + +def stopsavingdata = + if collapse_data : + write "}%" to data_mpd_file ; + fi ; + savingdata := false ; +enddef ; + +def finishsavingdata = + if savingdatadone : + write EOF to data_mpd_file ; + savingdatadone := false ; + fi ; +enddef ; + +%D Instead of a keystroke eating save and allocation +%D sequence, you can use the \citeer {new} alternatives to +%D save and allocate in one command. + +def newcolor text v = forsuffixes i=v : save i ; color i ; endfor ; enddef ; +def newnumeric text v = forsuffixes i=v : save i ; numeric i ; endfor ; enddef ; +def newboolean text v = forsuffixes i=v : save i ; boolean i ; endfor ; enddef ; +def newtransform text v = forsuffixes i=v : save i ; transform i ; endfor ; enddef ; +def newpath text v = forsuffixes i=v : save i ; path i ; endfor ; enddef ; +def newpicture text v = forsuffixes i=v : save i ; picture i ; endfor ; enddef ; +def newstring text v = forsuffixes i=v : save i ; string i ; endfor ; enddef ; +def newpair text v = forsuffixes i=v : save i ; pair i ; endfor ; enddef ; + +%D Sometimes we don't want parts of the graphics add to the +%D bounding box. One way of doing this is to save the bounding +%D box, draw the graphics that may not count, and restore the +%D bounding box. +%D +%D \starttyping +%D push_boundingbox currentpicture; +%D pop_boundingbox currentpicture; +%D \stoptyping +%D +%D The bounding box can be called with: +%D +%D \starttyping +%D boundingbox currentpicture +%D inner_boundingbox currentpicture +%D outer_boundingbox currentpicture +%D \stoptyping +%D +%D Especially the latter one can be of use when we include +%D the graphic in a document that is clipped to the bounding +%D box. In such occasions one can use: +%D +%D \starttyping +%D set_outer_boundingbox currentpicture; +%D \stoptyping +%D +%D Its counterpart is: +%D +%D \starttyping +%D set_inner_boundingbox p +%D \stoptyping + +path mfun_boundingbox_stack ; +numeric mfun_boundingbox_stack_depth ; + +mfun_boundingbox_stack_depth := 0 ; + +def pushboundingbox text p = + mfun_boundingbox_stack_depth := mfun_boundingbox_stack_depth + 1 ; + mfun_boundingbox_stack[mfun_boundingbox_stack_depth] := boundingbox p ; +enddef ; + +def popboundingbox text p = + setbounds p to mfun_boundingbox_stack[mfun_boundingbox_stack_depth] ; + mfun_boundingbox_stack[mfun_boundingbox_stack_depth] := origin ; + mfun_boundingbox_stack_depth := mfun_boundingbox_stack_depth - 1 ; +enddef ; + +let push_boundingbox = pushboundingbox ; % downward compatible +let pop_boundingbox = popboundingbox ; % downward compatible + +vardef boundingbox primary p = + if (path p) or (picture p) : + llcorner p -- lrcorner p -- urcorner p -- ulcorner p + else : + origin + fi -- cycle +enddef; + +vardef innerboundingbox primary p = + top rt llcorner p -- + top lft lrcorner p -- + bot lft urcorner p -- + bot rt ulcorner p -- cycle +enddef; + +vardef outerboundingbox primary p = + bot lft llcorner p -- + bot rt lrcorner p -- + top rt urcorner p -- + top lft ulcorner p -- cycle +enddef; + +def inner_boundingbox = innerboundingbox enddef ; +def outer_boundingbox = outerboundingbox enddef ; + +vardef set_inner_boundingbox text q = % obsolete + setbounds q to innerboundingbox q; +enddef; + +vardef set_outer_boundingbox text q = % obsolete + setbounds q to outerboundingbox q; +enddef; + +%D Some missing functions can be implemented rather straightforward (thanks to +%D Taco and others): + +pi := 3.14159265358979323846 ; radian := 180/pi ; % 2pi*radian = 360 ; + +% let +++ = ++ ; + +numeric Pi ; Pi := pi ; % for some old compatibility reasons i guess + +vardef sqr primary x = x*x enddef ; +vardef log primary x = if x=0: 0 else: mlog(x)/mlog(10) fi enddef ; +vardef ln primary x = if x=0: 0 else: mlog(x)/256 fi enddef ; +vardef exp primary x = (mexp 256)**x enddef ; +vardef inv primary x = if x=0: 0 else: x**-1 fi enddef ; + +vardef pow (expr x,p) = x**p enddef ; + +vardef tand primary x = sind(x)/cosd(x) enddef ; +vardef cotd primary x = cosd(x)/sind(x) enddef ; + +vardef sin primary x = sind(x*radian) enddef ; +vardef cos primary x = cosd(x*radian) enddef ; +vardef tan primary x = sin(x)/cos(x) enddef ; +vardef cot primary x = cos(x)/sin(x) enddef ; + +vardef asin primary x = angle((1+-+x,x)) enddef ; +vardef acos primary x = angle((x,1+-+x)) enddef ; +vardef atan primary x = angle(1,x) enddef ; + +vardef invsin primary x = (asin(x))/radian enddef ; +vardef invcos primary x = (acos(x))/radian enddef ; +vardef invtan primary x = (atan(x))/radian enddef ; + +vardef acosh primary x = ln(x+(x+-+1)) enddef ; +vardef asinh primary x = ln(x+(x++1)) enddef ; + +vardef sinh primary x = save xx ; xx = exp x ; (xx-1/xx)/2 enddef ; +vardef cosh primary x = save xx ; xx = exp x ; (xx+1/xx)/2 enddef ; + +%D Sometimes this is handy: + +def undashed = + dashed nullpicture +enddef ; + +%D We provide two macros for drawing stripes across a shape. +%D The first method (with the n suffix) uses another method, +%D slower in calculation, but more efficient when drawn. The +%D first macro divides the sides into n equal parts. The +%D first argument specifies the way the lines are drawn, while +%D the second argument identifier the way the shape is to be +%D drawn. +%D +%D \starttyping +%D stripe_path_n +%D (dashed evenly withcolor blue) +%D (filldraw) +%D fullcircle xscaled 100 yscaled 40 shifted (50,50) withpen pencircle scaled 4; +%D \stoptyping +%D +%D The a (or angle) alternative supports arbitrary angles and +%D is therefore more versatile. +%D +%D \starttyping +%D stripe_path_a +%D (withpen pencircle scaled 2 withcolor red) +%D (draw) +%D fullcircle xscaled 100 yscaled 40 withcolor blue; +%D \stoptyping +%D +%D We have two alternatives, controlled by arguments or defaults (when arguments +%D are zero). +%D +%D The newer and nicer interface is used as follows (triggered by a question by Mari): +%D +%D \starttyping +%D draw image (draw fullcircle scaled 3cm shifted (0cm,0cm) withcolor green) numberstriped (1,10,3) withcolor red ; +%D draw image (draw fullcircle scaled 3cm shifted (3cm,0cm) withcolor green) numberstriped (2,20,3) withcolor green ; +%D draw image (draw fullcircle scaled 3cm shifted (3cm,3cm) withcolor green) numberstriped (3,10,5) withcolor blue ; +%D draw image (draw fullcircle scaled 3cm shifted (0cm,3cm) withcolor green) numberstriped (4,20,5) withcolor yellow ; +%D +%D draw image (draw fullcircle scaled 3cm shifted (6cm,0cm) withcolor green) anglestriped (1,20,2) withcolor red ; +%D draw image (draw fullcircle scaled 3cm shifted (9cm,0cm) withcolor green) anglestriped (2,40,2) withcolor green ; +%D draw image (draw fullcircle scaled 3cm shifted (9cm,3cm) withcolor green) anglestriped (3,60,2) withcolor blue ; +%D draw image (draw fullcircle scaled 3cm shifted (6cm,3cm) withcolor green) anglestriped (4,80,2) withcolor yellow ; +%D +%D draw image ( +%D draw fullcircle scaled 3cm shifted (0cm,0cm) withcolor green withpen pencircle scaled 2mm ; +%D draw fullcircle scaled 2cm shifted (0cm,1cm) withcolor blue withpen pencircle scaled 3mm ; +%D ) shifted (9cm,0cm) numberstriped (1,10,3) withcolor red ; +%D +%D draw image ( +%D draw fullcircle scaled 3cm shifted (0cm,0cm) withcolor green withpen pencircle scaled 2mm ; +%D draw fullcircle scaled 2cm shifted (0cm,1cm) withcolor blue withpen pencircle scaled 3mm ; +%D ) shifted (12cm,0cm) numberstriped (2,10,3) withcolor red ; +%D +%D draw image ( +%D draw fullcircle scaled 3cm shifted (0cm,0cm) withcolor green withpen pencircle scaled 2mm ; +%D draw fullcircle scaled 2cm shifted (0cm,1cm) withcolor blue withpen pencircle scaled 3mm ; +%D ) shifted (9cm,5cm) numberstriped (3,10,3) withcolor red ; +%D +%D draw image ( +%D draw fullcircle scaled 3cm shifted (0cm,0cm) withcolor green withpen pencircle scaled 2mm ; +%D draw fullcircle scaled 2cm shifted (0cm,1cm) withcolor blue withpen pencircle scaled 3mm ; +%D ) shifted (12cm,5cm) numberstriped (4,10,3) withcolor red ; +%D \stoptyping + +stripe_n := 10; +stripe_slot := 3; +stripe_gap := 5; +stripe_angle := 45; + +def mfun_tool_striped_number_action text extra = + for i = 1/used_n step 1/used_n until 1 : + draw point (1+i) of bounds -- point (3-i) of bounds withpen pencircle scaled penwidth extra ; + endfor ; + for i = 0 step 1/used_n until 1 : + draw point (3+i) of bounds -- point (1-i) of bounds withpen pencircle scaled penwidth extra ; + endfor ; +enddef ; + +def mfun_tool_striped_set_options(expr option) = + save isinner, swapped ; + boolean isinner, swapped ; + if option = 1 : + isinner := false ; + swapped := false ; + elseif option = 2 : + isinner := true ; + swapped := false ; + elseif option = 3 : + isinner := false ; + swapped := true ; + elseif option = 4 : + isinner := true ; + swapped := true ; + else : + isinner := false ; + swapped := false ; + fi ; +enddef ; + +vardef mfun_tool_striped_number(expr option, p, s_n, s_slot) text extra = + image ( + begingroup ; + save pattern, shape, bounds, penwidth, used_n, used_slot ; + picture pattern, shape ; path bounds ; numeric used_s, used_slot ; + mfun_tool_striped_set_options(option) ; + used_slot := if s_slot = 0 : stripe_slot else : s_slot fi ; + used_n := if s_n = 0 : stripe_n else : s_n fi ; + shape := image(draw p) ; + bounds := boundingbox shape ; + penwidth := min(ypart urcorner shape - ypart llcorner shape, xpart urcorner shape - xpart llcorner shape) / (used_slot * used_n) ; + pattern := image ( + if isinner : + mfun_tool_striped_number_action extra ; + for s within shape : + if stroked s or filled s : + clip currentpicture to pathpart s ; + fi + endfor ; + else : + for s within shape : + if stroked s or filled s : + draw image ( + mfun_tool_striped_number_action extra ; + clip currentpicture to pathpart s ; + ) ; + fi ; + endfor ; + fi ; + ) ; + if swapped : + addto currentpicture also shape ; + addto currentpicture also pattern ; + else : + addto currentpicture also pattern ; + addto currentpicture also shape ; + fi ; + endgroup ; + ) +enddef ; + +def mfun_tool_striped_angle_action text extra = + for i = minimum -.5used_gap step used_gap until maximum : + draw (minimum,i) -- (maximum,i) extra ; + endfor ; + currentpicture := currentpicture rotated used_angle ; +enddef ; + +vardef mfun_tool_striped_angle(expr option, p, s_angle, s_gap) text extra = + image ( + begingroup ; + save pattern, shape, mask, maximum, minimum, centrum, used_angle, used_gap ; + picture pattern, shape, mask ; numeric maximum, minimum ; pair centrum ; numeric used_angle, used_gap ; + mfun_tool_striped_set_options(option) ; + used_angle := if s_angle = 0 : stripe_angle else : s_angle fi ; + used_gap := if s_gap = 0 : stripe_gap else : s_gap fi ; + shape := image(draw p) ; + centrum := center shape ; + shape := shape shifted - centrum ; + mask := shape rotated used_angle ; + maximum := max (xpart llcorner mask, xpart urcorner mask, ypart llcorner mask, ypart urcorner mask) ; + minimum := min (xpart llcorner mask, xpart urcorner mask, ypart llcorner mask, ypart urcorner mask) ; + pattern := image ( + if isinner : + mfun_tool_striped_angle_action extra ; + for s within shape : + if stroked s or filled s : + clip currentpicture to pathpart s ; + fi + endfor ; + else : + for s within shape : + if stroked s or filled s : + draw image ( + mfun_tool_striped_angle_action extra ; + clip currentpicture to pathpart s ; + ) ; + fi ; + endfor ; + fi ; + ) ; + if swapped : + addto currentpicture also shape ; + addto currentpicture also pattern ; + else : + addto currentpicture also pattern ; + addto currentpicture also shape ; + fi ; + currentpicture := currentpicture shifted - centrum ; + endgroup ; + ) +enddef; + +newinternal striped_normal_inner ; striped_normal_inner := 1 ; +newinternal striped_reverse_inner ; striped_reverse_inner := 2 ; +newinternal striped_normal_outer ; striped_normal_outer := 3 ; +newinternal striped_reverse_outer ; striped_reverse_outer := 4 ; + +secondarydef p anglestriped s = + mfun_tool_striped_angle(redpart s,p,greenpart s,bluepart s) +enddef ; + +secondarydef p numberstriped s = + mfun_tool_striped_number(redpart s,p,greenpart s,bluepart s) +enddef ; + +% for old times sake: + +def stripe_path_n (text s_spec) (text s_draw) expr s_path = + do_stripe_path_n (s_spec) (s_draw) (s_path) +enddef; + +def do_stripe_path_n (text s_spec) (text s_draw) (expr s_path) text s_text = + draw image(s_draw s_path s_text) numberstriped(3,0,0) s_spec ; +enddef ; + +def stripe_path_a (text s_spec) (text s_draw) expr s_path = + do_stripe_path_a (s_spec) (s_draw) (s_path) +enddef; + +def do_stripe_path_a (text s_spec) (text s_draw) (expr s_path) text s_text = + draw image(s_draw s_path s_text) anglestriped(3,0,0) s_spec ; +enddef ; + +%D A few normalizing macros: +%D +%D \starttypen +%D xscale_currentpicture ( width ) +%D yscale_currentpicture ( height ) +%D xyscale_currentpicture ( width, height ) +%D scale_currentpicture ( width, height ) +%D \stoptypen + +% def xscale_currentpicture(expr the_width) = +% natural_width := xpart urcorner currentpicture - xpart llcorner currentpicture; +% currentpicture := currentpicture scaled (the_width/natural_width) ; +% enddef; +% +% def yscale_currentpicture(expr the_height ) = +% natural_height := ypart urcorner currentpicture - ypart llcorner currentpicture; +% currentpicture := currentpicture scaled (the_height/natural_height) ; +% enddef; +% +% def xyscale_currentpicture(expr the_width, the_height) = +% natural_width := xpart urcorner currentpicture - xpart llcorner currentpicture; +% natural_height := ypart urcorner currentpicture - ypart llcorner currentpicture; +% currentpicture := currentpicture +% xscaled (the_width/natural_width) +% yscaled (the_height/natural_height) ; +% enddef; +% +% def scale_currentpicture(expr the_width, the_height) = +% xscale_currentpicture(the_width) ; +% yscale_currentpicture(the_height) ; +% enddef; + +% nog eens uitbreiden zodat path en pic worden afgehandeld. + +% natural_width := xpart urcorner currentpicture - xpart llcorner currentpicture; +% currentpicture := currentpicture scaled (the_width/natural_width) ; + +primarydef p xsized w = + (p if (bbwidth (p)>0) and (w>0) : scaled (w/bbwidth (p)) fi) +enddef ; + +primarydef p ysized h = + (p if (bbheight(p)>0) and (h>0) : scaled (h/bbheight(p)) fi) +enddef ; + +primarydef p xysized s = + begingroup + save wh, w, h ; pair wh ; numeric w, h ; + wh := paired (s) ; w := bbwidth(p) ; h := bbheight(p) ; + p + if (w>0) and (h>0) : + if xpart wh > 0 : xscaled (xpart wh/w) fi + if ypart wh > 0 : yscaled (ypart wh/h) fi + fi + endgroup +enddef ; + +let sized = xysized ; + +def xscale_currentpicture(expr w) = % obsolete + currentpicture := currentpicture xsized w ; +enddef; + +def yscale_currentpicture(expr h) = % obsolete + currentpicture := currentpicture ysized h ; +enddef; + +def xyscale_currentpicture(expr w, h) = % obsolete + currentpicture := currentpicture xysized (w,h) ; +enddef; + +def scale_currentpicture(expr w, h) = % obsolete + currentpicture := currentpicture xsized w ; + currentpicture := currentpicture ysized h ; +enddef; + +%D A full circle is centered at the origin, while a unitsquare +%D is located in the first quadrant. Now guess what kind of +%D path fullsquare and unitcircle do return. + +path fullsquare, unitcircle ; + +fullsquare := unitsquare shifted - center unitsquare ; +unitcircle := fullcircle shifted urcorner fullcircle ; + +%D Some more paths: + +path urcircle, ulcircle, llcircle, lrcircle ; + +urcircle := origin -- (+.5,0) & (+.5,0){up} .. (0,+.5) & (0,+.5) -- cycle ; +ulcircle := origin -- (0,+.5) & (0,+.5){left} .. (-.5,0) & (-.5,0) -- cycle ; +llcircle := origin -- (-.5,0) & (-.5,0){down} .. (0,-.5) & (0,-.5) -- cycle ; +lrcircle := origin -- (0,-.5) & (0,-.5){right} .. (+.5,0) & (+.5,0) -- cycle ; + +path tcircle, bcircle, lcircle, rcircle ; + +tcircle = origin -- (+.5,0) & (+.5,0) {up} .. (0,+.5) .. {down} (-.5,0) -- cycle ; +bcircle = origin -- (-.5,0) & (-.5,0) {down} .. (0,-.5) .. {up} (+.5,0) -- cycle ; +lcircle = origin -- (0,+.5) & (0,+.5) {left} .. (-.5,0) .. {right} (0,-.5) -- cycle ; +rcircle = origin -- (0,-.5) & (0,-.5) {right} .. (+.5,0) .. {left} (0,+.5) -- cycle ; + +path urtriangle, ultriangle, lltriangle, lrtriangle ; % watch out: it's contrary to what you expect and starts in the origin + +urtriangle := origin -- (+.5,0) -- (0,+.5) -- cycle ; +ultriangle := origin -- (0,+.5) -- (-.5,0) -- cycle ; +lltriangle := origin -- (-.5,0) -- (0,-.5) -- cycle ; +lrtriangle := origin -- (0,-.5) -- (+.5,0) -- cycle ; + +path unitdiamond, fulldiamond ; + +unitdiamond := (.5,0) -- (1,.5) -- (.5,1) -- (0,.5) -- cycle ; +fulldiamond := unitdiamond shifted - center unitdiamond ; + +%D More robust: + +% let normalscaled = scaled ; +% let normalxscaled = xscaled ; +% let normalyscaled = yscaled ; +% +% def scaled expr s = normalscaled (s) enddef ; +% def xscaled expr s = normalxscaled (s) enddef ; +% def yscaled expr s = normalyscaled (s) enddef ; + +%D Shorter + +primarydef p xyscaled q = % secundarydef does not work out well + begingroup + save qq ; pair qq ; + qq = paired(q) ; + p + if xpart qq <> 0 : xscaled (xpart qq) fi + if ypart qq <> 0 : yscaled (ypart qq) fi + endgroup +enddef ; + +%D Some personal code that might move to another module + +def set_grid(expr w, h, nx, ny) = + boolean grid[][] ; boolean grid_full ; + numeric grid_w, grid_h, grid_nx, grid_ny, grid_x, grid_y, grid_left ; + grid_w := w ; + grid_h := h ; + grid_nx := nx ; + grid_ny := ny ; + grid_x := round(w/grid_nx) ; % +.5) ; + grid_y := round(h/grid_ny) ; % +.5) ; + grid_left := (1+grid_x)*(1+grid_y) ; + grid_full := false ; + for i=0 upto grid_x : + for j=0 upto grid_y : + grid[i][j] := false ; + endfor ; + endfor ; +enddef ; + +vardef new_on_grid(expr _dx_, _dy_) = + dx := _dx_ ; + dy := _dy_ ; + ddx := min(round(dx/grid_nx),grid_x) ; % +.5),grid_x) ; + ddy := min(round(dy/grid_ny),grid_y) ; % +.5),grid_y) ; + if not grid_full and not grid[ddx][ddy] : + grid[ddx][ddy] := true ; + grid_left := grid_left-1 ; + grid_full := (grid_left=0) ; + true + else : + false + fi +enddef ; + +%D usage: \type{innerpath peepholed outerpath}. +%D +%D beginfig(1); +%D def fullsquare = (unitsquare shifted -center unitsquare) enddef ; +%D fill (fullsquare scaled 200) withcolor red ; +%D path p ; p := (fullcircle scaled 100) ; bboxmargin := 0 ; +%D fill p peepholed bbox p ; +%D endfig; + +secondarydef p peepholed q = + begingroup + save start ; pair start ; + start := point 0 of p ; + if xpart start >= xpart center p : + if ypart start >= ypart center p : + urcorner q -- ulcorner q -- llcorner q -- lrcorner q -- + reverse p -- lrcorner q -- cycle + else : + lrcorner q -- urcorner q -- ulcorner q -- llcorner q -- + reverse p -- llcorner q -- cycle + fi + else : + if ypart start > ypart center p : + ulcorner q -- llcorner q -- lrcorner q -- urcorner q -- + reverse p -- urcorner q -- cycle + else : + llcorner q -- lrcorner q -- urcorner q -- ulcorner q -- + reverse p -- ulcorner q -- cycle + fi + fi + endgroup +enddef ; + +boolean intersection_found ; + +secondarydef p intersection_point q = + begingroup + save x_, y_ ; + (x_,y_) = p intersectiontimes q ; + if x_<0 : + intersection_found := false ; + center p % origin + else : + intersection_found := true ; + .5[point x_ of p, point y_ of q] + fi + endgroup +enddef ; + +%D New, undocumented, experimental: + +vardef tensecircle (expr width, height, offset) = + (-width/2,-height/2) ... (0,-height/2-offset) ... + (+width/2,-height/2) ... (+width/2+offset,0) ... + (+width/2,+height/2) ... (0,+height/2+offset) ... + (-width/2,+height/2) ... (-width/2-offset,0) ... cycle +enddef ; + +vardef roundedsquare (expr width, height, offset) = + (offset,0) -- (width-offset,0) {right} .. + (width,offset) -- (width,height-offset) {up} .. + (width-offset,height) -- (offset,height) {left} .. + (0,height-offset) -- (0,offset) {down} .. cycle +enddef ; + +%D Some colors. + +def colortype(expr c) = + if cmykcolor c : cmykcolor elseif rgbcolor c : rgbcolor else : grayscale fi +enddef ; + +vardef whitecolor(expr c) = + if cmykcolor c : (0,0,0,0) elseif rgbcolor c : (1,1,1) else : 1 fi +enddef ; + +vardef blackcolor(expr c) = + if cmykcolor c : (0,0,0,1) elseif rgbcolor c : (0,0,0) else : 0 fi +enddef ; + +%D Well, this is the dangerous and naive version: + +def drawfill text t = + fill t ; + draw t ; +enddef; + +%D This two step approach saves the path first, since it can +%D be a function. Attributes must not be randomized. + +def drawfill expr c = + path _c_ ; _c_ := c ; + mfun_do_drawfill +enddef ; + +def mfun_do_drawfill text t = + draw _c_ t ; + fill _c_ t ; +enddef; + +def undrawfill expr c = + drawfill c withcolor background % rather useless +enddef ; + +%D Moved from mp-char.mp + +vardef paired primary d = + if pair d : d else : (d,d) fi +enddef ; + +vardef tripled primary d = + if color d : d else : (d,d,d) fi +enddef ; + +% maybe secondaries: + +primarydef p enlarged d = ( p llmoved d -- p lrmoved d -- p urmoved d -- p ulmoved d -- cycle ) enddef ; +primarydef p llenlarged d = ( p llmoved d -- lrcorner p -- urcorner p -- ulcorner p -- cycle ) enddef ; +primarydef p lrenlarged d = ( llcorner p -- p lrmoved d -- urcorner p -- ulcorner p -- cycle ) enddef ; +primarydef p urenlarged d = ( llcorner p -- lrcorner p -- p urmoved d -- ulcorner p -- cycle ) enddef ; +primarydef p ulenlarged d = ( llcorner p -- lrcorner p -- urcorner p -- p ulmoved d -- cycle ) enddef ; + +primarydef p llmoved d = ( (llcorner p) shifted (-xpart paired(d),-ypart paired(d)) ) enddef ; +primarydef p lrmoved d = ( (lrcorner p) shifted (+xpart paired(d),-ypart paired(d)) ) enddef ; +primarydef p urmoved d = ( (urcorner p) shifted (+xpart paired(d),+ypart paired(d)) ) enddef ; +primarydef p ulmoved d = ( (ulcorner p) shifted (-xpart paired(d),+ypart paired(d)) ) enddef ; + +primarydef p leftenlarged d = ( (llcorner p) shifted (-d,0) -- lrcorner p -- urcorner p -- (ulcorner p) shifted (-d,0) -- cycle ) enddef ; +primarydef p rightenlarged d = ( llcorner p -- (lrcorner p) shifted (d,0) -- (urcorner p) shifted (d,0) -- ulcorner p -- cycle ) enddef ; +primarydef p topenlarged d = ( llcorner p -- lrcorner p -- (urcorner p) shifted (0,d) -- (ulcorner p) shifted (0,d) -- cycle ) enddef ; +primarydef p bottomenlarged d = ( llcorner p shifted (0,-d) -- lrcorner p shifted (0,-d) -- urcorner p -- ulcorner p -- cycle ) enddef ; + +%D Handy for testing/debugging: + +primarydef p crossed d = ( + if pair p : + p shifted (-d, 0) -- p -- + p shifted ( 0,-d) -- p -- + p shifted (+d, 0) -- p -- + p shifted ( 0,+d) -- p -- cycle + else : + center p shifted (-d, 0) -- llcorner p -- + center p shifted ( 0,-d) -- lrcorner p -- + center p shifted (+d, 0) -- urcorner p -- + center p shifted ( 0,+d) -- ulcorner p -- cycle + fi +) enddef ; + +%D Also handy (math ladders): + +vardef laddered primary p = % was expr + point 0 of p + for i=1 upto length(p) : + -- (xpart (point i of p), ypart (point (i-1) of p)) -- (point i of p) + endfor +enddef ; + +%D Saves typing: + +% vardef bottomboundary primary p = (llcorner p -- lrcorner p) enddef ; +% vardef rightboundary primary p = (lrcorner p -- urcorner p) enddef ; +% vardef topboundary primary p = (urcorner p -- ulcorner p) enddef ; +% vardef leftboundary primary p = (ulcorner p -- llcorner p) enddef ; + +vardef bottomboundary primary p = if pair p : p else : (llcorner p -- lrcorner p) fi enddef ; +vardef rightboundary primary p = if pair p : p else : (lrcorner p -- urcorner p) fi enddef ; +vardef topboundary primary p = if pair p : p else : (urcorner p -- ulcorner p) fi enddef ; +vardef leftboundary primary p = if pair p : p else : (ulcorner p -- llcorner p) fi enddef ; + +%D Nice too: + +primarydef p superellipsed s = + superellipse ( + .5[lrcorner p,urcorner p], + .5[urcorner p,ulcorner p], + .5[ulcorner p,llcorner p], + .5[llcorner p,lrcorner p], + s + ) +enddef ; + +primarydef p squeezed s = ( + (llcorner p .. .5[llcorner p,lrcorner p] shifted ( 0, ypart paired(s)) .. lrcorner p) & + (lrcorner p .. .5[lrcorner p,urcorner p] shifted (-xpart paired(s), 0) .. urcorner p) & + (urcorner p .. .5[urcorner p,ulcorner p] shifted ( 0,-ypart paired(s)) .. ulcorner p) & + (ulcorner p .. .5[ulcorner p,llcorner p] shifted ( xpart paired(s), 0) .. llcorner p) & cycle +) enddef ; + +primarydef p randomshifted s = + begingroup ; + save ss ; pair ss ; + ss := paired(s) ; + p shifted (-.5xpart ss + uniformdeviate xpart ss,-.5ypart ss + uniformdeviate ypart ss) + endgroup +enddef ; + +primarydef p randomized s = ( + if path p : + for i=0 upto length(p)-1 : + ((point i of p) randomshifted s) .. controls + ((postcontrol i of p) randomshifted s) and + ((precontrol (i+1) of p) randomshifted s) .. + endfor + if cycle p : + cycle + else : + ((point length(p) of p) randomshifted s) + fi + elseif pair p : + p randomshifted s + elseif cmykcolor p : + if color s : + ((uniformdeviate cyanpart s) * cyanpart p, + (uniformdeviate magentapart s) * magentapart p, + (uniformdeviate yellowpart s) * yellowpart p, + (uniformdeviate blackpart s) * blackpart p) + elseif pair s : + ((xpart s + (uniformdeviate (ypart s - xpart s))) * p) + else : + ((uniformdeviate s) * p) + fi + elseif rgbcolor p : + if color s : + ((uniformdeviate redpart s) * redpart p, + (uniformdeviate greenpart s) * greenpart p, + (uniformdeviate bluepart s) * bluepart p) + elseif pair s : + ((xpart s + (uniformdeviate (ypart s - xpart s))) * p) + else : + ((uniformdeviate s) * p) + fi + elseif color p : + if color s : + ((uniformdeviate greypart s) * greypart p) + elseif pair s : + ((xpart s + (uniformdeviate (ypart s - xpart s))) * p) + else : + ((uniformdeviate s) * p) + fi + else : + p + uniformdeviate s + fi +) enddef ; + +%D Not perfect (alternative for interpath) + +vardef interpolated(expr s, p, q) = + save m ; numeric m ; + m := max(length(p),length(q)) ; + if path p : + for i=0 upto m-1 : + s[point (i /m) along p,point (i /m) along q] .. controls + s[postcontrol (i /m) along p,postcontrol (i /m) along q] and + s[precontrol ((i+1)/m) along p,precontrol ((i+1)/m) along q] .. + endfor + if cycle p : + cycle + else : + s[point infinity of p,point infinity of q] + fi + else : + a[p,q] + fi +enddef ; + +%D Interesting too: + +primarydef p paralleled d = ( + p shifted if d < 0 : - fi ((point abs(d) on (p rotatedaround(point 0 of p,90))) - point 0 of p) +) enddef ; + +vardef punked primary p = + point 0 of p for i=1 upto length(p)-1 : -- point i of p endfor + if cycle p : -- cycle else : -- point length(p) of p fi +enddef ; + +vardef curved primary p = + point 0 of p for i=1 upto length(p)-1 : .. point i of p endfor + if cycle p : .. cycle else : .. point length(p) of p fi +enddef ; + +primarydef p blownup s = + begingroup + save _p_ ; path _p_ ; + _p_ := p xysized (bbwidth(p)+2(xpart paired(s)),bbheight(p)+2(ypart paired(s))) ; + (_p_ shifted (center p - center _p_)) + endgroup +enddef ; + +%D Rather fundamental. + +% not yet ok + +vardef leftrightpath(expr p, l) = % used in s-pre-19 + save q, r, t, b ; path q, r ; pair t, b ; + t := (ulcorner p -- urcorner p) intersection_point p ; + b := (llcorner p -- lrcorner p) intersection_point p ; + r := if xpart directionpoint t of p < 0 : reverse p else : p fi ; % r is needed, else problems when reverse is fed + q := r cutbefore if l: t else: b fi ; + q := q if xpart point 0 of r > 0 : & r fi cutafter if l: b else: t fi ; + q +enddef ; + +vardef leftpath expr p = leftrightpath(p,true ) enddef ; +vardef rightpath expr p = leftrightpath(p,false) enddef ; + +%D Drawoptions + +def saveoptions = + save _op_ ; def _op_ = enddef ; +enddef ; + +%D Tracing. (not yet in lexer) + +let normaldraw = draw ; +let normalfill = fill ; + +% bugged in mplib so ... + +def normalfill expr c = addto currentpicture contour c _op_ enddef ; +def normaldraw expr p = addto currentpicture if picture p: also p else: doublepath p withpen currentpen fi _op_ enddef ; + +def drawlineoptions (text t) = def _lin_opt_ = t enddef ; enddef ; +def drawpointoptions (text t) = def _pnt_opt_ = t enddef ; enddef ; +def drawcontroloptions(text t) = def _ctr_opt_ = t enddef ; enddef ; +def drawlabeloptions (text t) = def _lab_opt_ = t enddef ; enddef ; +def draworiginoptions (text t) = def _ori_opt_ = t enddef ; enddef ; +def drawboundoptions (text t) = def _bnd_opt_ = t enddef ; enddef ; +def drawpathoptions (text t) = def _pth_opt_ = t enddef ; enddef ; + +def resetdrawoptions = + drawlineoptions (withpen pencircle scaled 1pt withcolor .5white) ; + drawpointoptions (withpen pencircle scaled 4pt withcolor black) ; + drawcontroloptions(withpen pencircle scaled 2.5pt withcolor black) ; + drawlabeloptions () ; + draworiginoptions (withpen pencircle scaled 1pt withcolor .5white) ; + drawboundoptions (dashed evenly _ori_opt_) ; + drawpathoptions (withpen pencircle scaled 5pt withcolor .8white) ; +enddef ; + +resetdrawoptions ; + +%D Path. + +def drawpath expr p = + normaldraw p _pth_opt_ +enddef ; + +%D Arrow. + +vardef drawarrowpath expr p = + save autoarrows ; boolean autoarrows ; autoarrows := true ; + drawarrow p _pth_opt_ +enddef ; + +% def drawarrowpath expr p = +% begingroup ; +% save autoarrows ; boolean autoarrows ; autoarrows := true ; +% save arrowpath ; path arrowpath ; arrowpath := p ; +% _drawarrowpath_ +% enddef ; +% +% def _drawarrowpath_ text t = +% drawarrow arrowpath _pth_opt_ t ; +% endgroup ; +% enddef ; + +def midarrowhead expr p = + arrowhead p cutafter (point length(p cutafter point .5 along p)+ahlength on p) +enddef ; + +vardef arrowheadonpath (expr p, s) = + save autoarrows ; boolean autoarrows ; + autoarrows := true ; + set_ahlength(scaled ahfactor) ; % added + arrowhead p if s<1 : cutafter (point (s*arclength(p)+.5ahlength) on p) fi +enddef ; + +%D Points. + +def drawpoint expr c = + if string c : + string _c_ ; + _c_ := "(" & c & ")" ; + dotlabel.urt(_c_, scantokens _c_) ; + drawdot scantokens _c_ + else : + dotlabel.urt("(" & decimal xpart c & "," & decimal ypart c & ")", c) ; + drawdot c + fi _pnt_opt_ +enddef ; + +%D PathPoints. + +def drawpoints expr c = path _c_ ; _c_ := c ; mfun_draw_points enddef ; +def drawcontrolpoints expr c = path _c_ ; _c_ := c ; mfun_draw_controlpoints enddef ; +def drawcontrollines expr c = path _c_ ; _c_ := c ; mfun_draw_controllines enddef ; +def drawpointlabels expr c = path _c_ ; _c_ := c ; mfun_draw_pointlabels enddef ; + +def mfun_draw_points text t = + for _i_=0 upto length(_c_) : + normaldraw point _i_ of _c_ _pnt_opt_ t ; + endfor ; +enddef; + +def mfun_draw_controlpoints text t = + for _i_=0 upto length(_c_) : + normaldraw precontrol _i_ of _c_ _ctr_opt_ t ; + normaldraw postcontrol _i_ of _c_ _ctr_opt_ t ; + endfor ; +enddef; + +def mfun_draw_controllines text t = + for _i_=0 upto length(_c_) : + normaldraw point _i_ of _c_ -- precontrol _i_ of _c_ _lin_opt_ t ; + normaldraw point _i_ of _c_ -- postcontrol _i_ of _c_ _lin_opt_ t ; + endfor ; +enddef; + +boolean swappointlabels ; swappointlabels := false ; + +def mfun_draw_pointlabels text t = + for _i_=0 upto length(_c_) : + pair _u_ ; _u_ := unitvector(direction _i_ of _c_) rotated if swappointlabels : - fi 90 ; + pair _p_ ; _p_ := (point _i_ of _c_) ; + _u_ := 12 * defaultscale * _u_ ; + normaldraw thelabel ( decimal _i_, _p_ shifted if cycle _c_ and (_i_=0) : - fi _u_ ) _lab_opt_ t ; + endfor ; +enddef; + +%D Bounding box. + +def drawboundingbox expr p = + normaldraw boundingbox p _bnd_opt_ +enddef ; + +%D Origin. + +numeric originlength ; originlength := .5cm ; + +def draworigin text t = + normaldraw (origin shifted (0, originlength) -- origin shifted (0,-originlength)) _ori_opt_ t ; + normaldraw (origin shifted ( originlength,0) -- origin shifted (-originlength,0)) _ori_opt_ t ; +enddef; + +%D Axis. + +numeric tickstep ; tickstep := 5mm ; +numeric ticklength ; ticklength := 2mm ; + +def drawxticks expr c = path _c_ ; _c_ := c ; mfun_draw_xticks enddef ; +def drawyticks expr c = path _c_ ; _c_ := c ; mfun_draw_yticks enddef ; +def drawticks expr c = path _c_ ; _c_ := c ; mfun_draw_ticks enddef ; + +% Adding eps prevents disappearance due to rounding errors. + +def mfun_draw_xticks text t = + for i=0 step -tickstep until xpart llcorner _c_ - eps : + if (i<=xpart lrcorner _c_) : + normaldraw (i,-ticklength)--(i,ticklength) _ori_opt_ t ; + fi ; + endfor ; + for i=0 step tickstep until xpart lrcorner _c_ + eps : + if (i>=xpart llcorner _c_) : + normaldraw (i,-ticklength)--(i,ticklength) _ori_opt_ t ; + fi ; + endfor ; + normaldraw (llcorner _c_ -- ulcorner _c_) shifted (-xpart llcorner _c_,0) _ori_opt_ t ; +enddef ; + +def mfun_draw_yticks text t = + for i=0 step -tickstep until ypart llcorner _c_ - eps : + if (i<=ypart ulcorner _c_) : + normaldraw (-ticklength,i)--(ticklength,i) _ori_opt_ t ; + fi ; + endfor ; + for i=0 step tickstep until ypart ulcorner _c_ + eps : + if (i>=ypart llcorner _c_) : + normaldraw (-ticklength,i)--(ticklength,i) _ori_opt_ t ; + fi ; + endfor ; + normaldraw (llcorner _c_ -- lrcorner _c_) shifted (0,-ypart llcorner _c_) _ori_opt_ t ; +enddef ; + +def mfun_draw_ticks text t = + drawxticks _c_ t ; + drawyticks _c_ t ; +enddef ; + +%D All of it except axis. + +def drawwholepath expr p = + draworigin ; + drawpath p ; + drawcontrollines p ; + drawcontrolpoints p ; + drawpoints p ; + drawboundingbox p ; + drawpointlabels p ; +enddef ; + +%D Tracing. + +def visualizeddraw expr c = + if picture c : normaldraw c else : path _c_ ; _c_ := c ; do_visualizeddraw fi +enddef ; + +def visualizedfill expr c = + if picture c : normalfill c else : path _c_ ; _c_ := c ; do_visualizedfill fi +enddef ; + +def do_visualizeddraw text t = + draworigin ; + drawpath _c_ t ; + drawcontrollines _c_ ; + drawcontrolpoints _c_ ; + drawpoints _c_ ; + drawboundingbox _c_ ; + drawpointlabels _c_ ; +enddef ; + +def do_visualizedfill text t = + if cycle _c_ : normalfill _c_ t fi ; + draworigin ; + drawcontrollines _c_ ; + drawcontrolpoints _c_ ; + drawpoints _c_ ; + drawboundingbox _c_ ; + drawpointlabels _c_ ; +enddef ; + +def visualizepaths = + let fill = visualizedfill ; + let draw = visualizeddraw ; +enddef ; + +def naturalizepaths = + let fill = normalfill ; + let draw = normaldraw ; +enddef ; + +extra_endfig := extra_endfig & " naturalizepaths ; " ; + +%D Nice tracer: + +def drawboundary primary p = + draw p dashed evenly withcolor white ; + draw p dashed oddly withcolor black ; + draw (- llcorner p) withpen pencircle scaled 3 withcolor white ; + draw (- llcorner p) withpen pencircle scaled 1.5 withcolor black ; +enddef ; + +%D Also handy: + +extra_beginfig := extra_beginfig & " truecorners := 0 ; " ; % restores +extra_beginfig := extra_beginfig & " miterlimit := 10 ; " ; % restores +extra_beginfig := extra_beginfig & " linejoin := rounded ; " ; % restores +extra_beginfig := extra_beginfig & " linecap := rounded ; " ; % restores + +%D Normally, arrowheads don't scale well. So we provide a +%D hack. + +boolean autoarrows ; autoarrows := false ; +numeric ahfactor ; ahfactor := 2.5 ; + +def set_ahlength (text t) = + % ahlength := (ahfactor*pen_size(_op_ t)) ; % _op_ added + % problem: _op_ can contain color so a no-go, we could apply the transform + % but i need to figure out the best way (fakepicture and take components). + ahlength := (ahfactor*pen_size(t)) ; +enddef ; + +vardef pen_size (text t) = + save p ; picture p ; p := nullpicture ; + addto p doublepath (top origin -- bot origin) t ; + (ypart urcorner p - ypart lrcorner p) +enddef ; + +%D The next two macros are adapted versions of plain +%D \METAPOST\ definitions. + +vardef arrowpath expr p = % patch by Peter Rolf: supports squared pen and shifting (hh: maybe just use center of head as first) + (p cutafter makepath(pencircle scaled 2(ahlength*cosd(.5ahangle)) shifted point length p of p)) +enddef; + +% def _finarr text t = +% if autoarrows : set_ahlength (t) fi ; +% draw arrowpath _apth t ; % arrowpath added +% filldraw arrowhead _apth t ; +% enddef; + +def _finarr text t = + if autoarrows : set_ahlength (t) fi ; + draw arrowpath _apth t ; % arrowpath added + fill arrowhead _apth t ; + draw arrowhead _apth t ; +enddef; + +def _finarr text t = + if autoarrows : set_ahlength (t) fi ; + draw arrowpath _apth t ; % arrowpath added + fill arrowhead _apth t ; + draw arrowhead _apth t undashed ; +enddef; + +%D Handy too ...... + +vardef pointarrow (expr pat, loc, len, off) = + save l, r, s, t ; path l, r ; numeric s ; pair t ; + t := if pair loc : loc else : point loc along pat fi ; + s := len/2 - off ; if s<=0 : s := 0 elseif s>len : s := len fi ; + r := pat cutbefore t ; + r := (r cutafter point (arctime s of r) of r) ; + s := len/2 + off ; if s<=0 : s := 0 elseif s>len : s := len fi ; + l := reverse (pat cutafter t) ; + l := (reverse (l cutafter point (arctime s of l) of l)) ; + (l..r) +enddef ; + +def rightarrow (expr pat,tim,len) = pointarrow(pat,tim,len,-len) enddef ; +def leftarrow (expr pat,tim,len) = pointarrow(pat,tim,len,+len) enddef ; +def centerarrow (expr pat,tim,len) = pointarrow(pat,tim,len, 0) enddef ; + +%D The \type {along} and \type {on} operators can be used +%D as follows: +%D +%D \starttyping +%D drawdot point .5 along somepath ; +%D drawdot point 3cm on somepath ; +%D \stoptyping +%D +%D The number denotes a percentage (fraction). + +primarydef pct along pat = % also negative + (arctime (pct * (arclength pat)) of pat) of pat +enddef ; + +primarydef len on pat = % no outer ( ) .. somehow fails + (arctime if len>=0 : len else : (arclength(pat)+len) fi of pat) of pat +enddef ; + +% this cuts of a piece from both ends + +% tertiarydef pat cutends len = +% begingroup ; save tap ; path tap ; +% tap := pat cutbefore (point len on pat) ; +% (tap cutafter (point -len on tap)) +% endgroup +% enddef ; + +tertiarydef pat cutends len = + begingroup + save tap ; path tap ; + tap := pat cutbefore (point (xpart paired(len)) on pat) ; + (tap cutafter (point -(ypart paired(len)) on tap)) + endgroup +enddef ; + +%D To be documented. + +path freesquare ; + +freesquare := ( + (-1,0) -- (-1,-1) -- (0,-1) -- (+1,-1) -- + (+1,0) -- (+1,+1) -- (0,+1) -- (-1,+1) -- cycle +) scaled .5 ; + +numeric freelabeloffset ; freelabeloffset := 3pt ; +numeric freedotlabelsize ; freedotlabelsize := 3pt ; + +vardef thefreelabel (expr str, loc, ori) = + save s, p, q, l ; picture s ; path p, q ; pair l ; + interim labeloffset := freelabeloffset ; + s := if string str : thelabel(str,loc) else : str shifted -center str shifted loc fi ; + setbounds s to boundingbox s enlarged freelabeloffset ; + p := fullcircle scaled (2*length(loc-ori)) shifted ori ; + q := freesquare xyscaled (urcorner s - llcorner s) ; + l := point xpart (p intersectiontimes (ori--loc shifted (loc-ori))) of q ; + setbounds s to boundingbox s enlarged -freelabeloffset ; % new + % draw boundingbox s shifted -l withpen pencircle scaled .5pt withcolor red ; + (s shifted -l) +enddef ; + +vardef freelabel (expr str, loc, ori) = + draw thefreelabel(str,loc,ori) ; +enddef ; + +vardef freedotlabel (expr str, loc, ori) = + interim linecap := rounded ; + draw loc withpen pencircle scaled freedotlabelsize ; + draw thefreelabel(str,loc,ori) ; +enddef ; + +%D \starttyping +%D drawarrow anglebetween(line_a,line_b,somelabel) ; +%D \stoptyping + +newinternal angleoffset ; angleoffset := 0pt ; +newinternal anglelength ; anglelength := 20pt ; +newinternal anglemethod ; anglemethod := 1 ; + +% vardef anglebetween (expr a, b, str) = % path path string +% save pointa, pointb, common, middle, offset ; +% pair pointa, pointb, common, middle, offset ; +% save curve ; path curve ; +% save where ; numeric where ; +% if round point 0 of a = round point 0 of b : +% common := point 0 of a ; +% else : +% common := a intersectionpoint b ; +% fi ; +% pointa := point anglelength on a ; +% pointb := point anglelength on b ; +% where := turningnumber (common--pointa--pointb--cycle) ; +% middle := ((common--pointa) rotatedaround (pointa,-where*90)) +% intersectionpoint +% ((common--pointb) rotatedaround (pointb, where*90)) ; +% if anglemethod = 0 : +% curve := pointa{unitvector(middle-pointa)}.. pointb; +% middle := point .5 along curve ; +% curve := common ; +% elseif anglemethod = 1 : +% curve := pointa{unitvector(middle-pointa)}.. pointb; +% middle := point .5 along curve ; +% elseif anglemethod = 2 : +% middle := common rotatedaround(.5[pointa,pointb],180) ; +% curve := pointa--middle--pointb ; +% elseif anglemethod = 3 : +% curve := pointa--middle--pointb ; +% elseif anglemethod = 4 : +% curve := pointa..controls middle..pointb ; +% middle := point .5 along curve ; +% fi ; +% draw thefreelabel(str, middle, common) withcolor black ; +% curve +% enddef ; + +vardef anglebetween (expr a, b, str) = % path path string + save pointa, pointb, common, middle, offset ; + pair pointa, pointb, common, middle, offset ; + save curve ; path curve ; + save where ; numeric where ; + if round point 0 of a = round point 0 of b : + common := point 0 of a ; + else : + common := a intersectionpoint b ; + fi ; + pointa := point anglelength on a ; + pointb := point anglelength on b ; + where := turningnumber (common--pointa--pointb--cycle) ; + middle := (reverse(common--pointa) rotatedaround (pointa,-where*90)) + intersection_point + (reverse(common--pointb) rotatedaround (pointb, where*90)) ; + if not intersection_found : + middle := point .5 along + ((reverse(common--pointa) rotatedaround (pointa,-where*90)) -- + ( (common--pointb) rotatedaround (pointb, where*90))) ; + fi ; + if anglemethod = 0 : + curve := pointa{unitvector(middle-pointa)}.. pointb; + middle := point .5 along curve ; + curve := common ; + elseif anglemethod = 1 : + curve := pointa{unitvector(middle-pointa)}.. pointb; + middle := point .5 along curve ; + elseif anglemethod = 2 : + middle := common rotatedaround(.5[pointa,pointb],180) ; + curve := pointa--middle--pointb ; + elseif anglemethod = 3 : + curve := pointa--middle--pointb ; + elseif anglemethod = 4 : + curve := pointa..controls middle..pointb ; + middle := point .5 along curve ; + fi ; + draw thefreelabel(str, middle, common) ; % withcolor black ; + curve +enddef ; + +% Stack + +picture mfun_current_picture_stack[] ; +numeric mfun_current_picture_depth ; + +mfun_current_picture_depth := 0 ; + +def pushcurrentpicture = + mfun_current_picture_depth := mfun_current_picture_depth + 1 ; + mfun_current_picture_stack[mfun_current_picture_depth] := currentpicture ; + currentpicture := nullpicture ; +enddef ; + +def popcurrentpicture text t = % optional text + if mfun_current_picture_depth > 0 : + addto mfun_current_picture_stack[mfun_current_picture_depth] also currentpicture t ; + currentpicture := mfun_current_picture_stack[mfun_current_picture_depth] ; + mfun_current_picture_stack[mfun_current_picture_depth] := nullpicture ; + mfun_current_picture_depth := mfun_current_picture_depth - 1 ; + fi ; +enddef ; + +%D colorcircle(size, red, green, blue) ; + +% vardef colorcircle (expr size, red, green, blue) = +% save r, g, b, rr, gg, bb, cc, mm, yy ; save radius ; +% path r, g, b, rr, bb, gg, cc, mm, yy ; numeric radius ; +% +% radius := 5cm ; pickup pencircle scaled (radius/25) ; +% +% r := g := b := fullcircle scaled radius shifted (0,radius/4) ; +% +% r := r rotatedaround (origin, 15) ; +% g := g rotatedaround (origin,135) ; +% b := b rotatedaround (origin,255) ; +% +% r := r rotatedaround(center r,-90) ; +% g := g rotatedaround(center g, 90) ; +% +% gg := buildcycle(buildcycle(reverse r,b),g) ; +% cc := buildcycle(buildcycle(b,reverse g),r) ; +% +% rr := gg rotatedaround(origin,120) ; +% bb := gg rotatedaround(origin,240) ; +% +% yy := cc rotatedaround(origin,120) ; +% mm := cc rotatedaround(origin,240) ; +% +% pushcurrentpicture ; +% +% fill fullcircle scaled radius withcolor white ; +% +% fill rr withcolor red ; fill cc withcolor white-red ; +% fill gg withcolor green ; fill mm withcolor white-green ; +% fill bb withcolor blue ; fill yy withcolor white-blue ; +% +% for i = rr,gg,bb,cc,mm,yy : draw i withcolor .5white ; endfor ; +% +% currentpicture := currentpicture xsized size ; +% +% popcurrentpicture ; +% enddef ; + +% vardef colorcircle (expr size, red, green, blue) = +% save r, g, b, rr, gg, bb, cc, mm, yy ; save radius ; +% path r, g, b, rr, bb, gg, cc, mm, yy ; numeric radius ; +% +% radius := 5cm ; pickup pencircle scaled (radius/25) ; +% +% transform t ; t := identity rotatedaround(origin,120) ; +% +% r := fullcircle scaled radius +% shifted (0,radius/4) rotatedaround(origin,15) ; +% +% g := r transformed t ; b := g transformed t ; +% +% r := r rotatedaround(center r,-90) ; +% g := g rotatedaround(center g, 90) ; +% +% gg := buildcycle(buildcycle(reverse r,b),g) ; +% cc := buildcycle(buildcycle(b,reverse g),r) ; +% +% rr := gg transformed t ; bb := rr transformed t ; +% yy := cc transformed t ; mm := yy transformed t ; +% +% pushcurrentpicture ; +% +% fill fullcircle scaled radius withcolor white ; +% +% fill rr withcolor red ; fill cc withcolor white-red ; +% fill gg withcolor green ; fill mm withcolor white-green ; +% fill bb withcolor blue ; fill yy withcolor white-blue ; +% +% for i = rr,gg,bb,cc,mm,yy : draw i withcolor .5white ; endfor ; +% +% currentpicture := currentpicture xsized size ; +% +% popcurrentpicture ; +% enddef ; + +vardef colorcircle (expr size, red, green, blue) = % might move + save r, g, b, c, m, y, w ; save radius ; + path r, g, b, c, m, y, w ; numeric radius ; + + radius := 5cm ; pickup pencircle scaled (radius/25) ; + + transform t ; t := identity rotatedaround(origin,120) ; + + r := fullcircle rotated 90 scaled radius shifted (0,radius/4) rotatedaround(origin,135) ; + + b := r transformed t ; g := b transformed t ; + + c := buildcycle(subpath(1,7) of g,subpath(1,7) of b) ; + y := c transformed t ; m := y transformed t ; + + w := buildcycle(subpath(3,5) of r, subpath(3,5) of g,subpath(3,5) of b) ; + + pushcurrentpicture ; + + fill r withcolor red ; + fill g withcolor green ; + fill b withcolor blue ; + fill c withcolor white - red ; + fill m withcolor white - green ; + fill y withcolor white - blue ; + fill w withcolor white ; + + for i = r,g,b,c,m,y : draw i withcolor .5white ; endfor ; + + currentpicture := currentpicture xsized size ; + + popcurrentpicture ; +enddef ; + +% penpoint (i,2) of somepath -> inner / outer point + +vardef penpoint expr pnt of p = + save n, d ; numeric n, d ; + (n,d) = if pair pnt : pnt else : (pnt,1) fi ; + (point n of p shifted ((penoffset direction n of p of currentpen) scaled d)) +enddef ; + +% nice: currentpicture := inverted currentpicture ; + +primarydef p uncolored c = + if color p : + c - p + else : + image ( + for i within p : + addto currentpicture + if stroked i or filled i : + if filled i : + contour + else : + doublepath + fi + pathpart i + dashed dashpart i withpen penpart i + else : + also i + fi + withcolor c-(redpart i, greenpart i, bluepart i) ; + endfor ; + ) + fi +enddef ; + +vardef inverted primary p = + p uncolored white +enddef ; + +% primarydef p softened c = +% if color p : +% tripled(c) * p +% else : +% image +% (save cc ; color cc ; cc := tripled(c) ; +% for i within p : +% addto currentpicture +% if stroked i or filled i : +% if filled i : contour else : doublepath fi pathpart i +% dashed dashpart i withpen penpart i +% else : +% also i +% fi +% withcolor (redpart cc * redpart i, +% greenpart cc * greenpart i, +% bluepart cc * bluepart i) ; +% endfor ;) +% fi +% enddef ; + +primarydef p softened c = + begingroup + save cc ; color cc ; cc := tripled(c) ; + if color p : + (redpart cc * redpart p,greenpart cc * greenpart p, bluepart cc * bluepart p) + else : + image ( + for i within p : + addto currentpicture + if stroked i or filled i : + if filled i : + contour + else : + doublepath + fi + pathpart i + dashed dashpart i withpen penpart i + else : + also i + fi + withcolor (redpart cc * redpart i, greenpart cc * greenpart i, bluepart cc * bluepart i) ; + endfor ; + ) + fi + endgroup +enddef ; + +vardef grayed primary p = + if color p : + tripled(.30redpart p+.59greenpart p+.11bluepart p) + else : + image ( + for i within p : + addto currentpicture + if stroked i or filled i : + if filled i : + contour + else : + doublepath + fi + pathpart i + dashed dashpart i + withpen penpart i + else : + also i + fi + withcolor tripled(.30redpart i+.59greenpart i+.11bluepart i) ; + endfor ; + ) + fi +enddef ; + +% yes or no: "text" infont "cmr12" at 24pt ; + +% let normalinfont = infont ; +% +% numeric lastfontsize ; lastfontsize = fontsize defaultfont ; +% +% def infont primary name = % no vardef, no expr +% hide(lastfontsize := fontsize name) % no ; +% normalinfont name +% enddef ; +% +% def scaledat expr size = +% scaled (size/lastfontsize) +% enddef ; +% +% let at = scaledat ; + +% like decimal + +def condition primary b = if b : "true" else : "false" fi enddef ; + +% undocumented + +primarydef p stretched s = + begingroup + save pp ; path pp ; pp := p xyscaled s ; + (pp shifted ((point 0 of p) - (point 0 of pp))) + endgroup +enddef ; + +% primarydef p enlonged len = +% begingroup +% save al ; al := arclength(p) ; +% if al > 0 : +% if pair p : +% point 1 of ((origin -- p) stretched ((al+len)/al)) +% else : +% p stretched ((al+len)/al) +% fi +% else : +% p +% fi +% endgroup +% enddef ; + +primarydef p enlonged len = + begingroup + if pair p : + save q ; path q ; q := origin -- p ; + save al ; al := arclength(q) ; + if al > 0 : + point 1 of (q stretched ((al+len)/al)) + else : + p + fi + else : + save al ; al := arclength(p) ; + if al > 0 : + p stretched ((al+len)/al) + else : + p + fi + fi + endgroup +enddef ; + +% path p ; p := (0,0) -- (10cm,5cm) ; +% drawarrow p withcolor red ; +% drawarrow p shortened 1cm withcolor green ; + +primarydef p shortened d = + reverse ( ( reverse (p enlonged -d) ) enlonged -d ) +enddef ; + +% yes or no, untested -) + +def xshifted expr dx = shifted(dx,0) enddef ; +def yshifted expr dy = shifted(0,dy) enddef ; + +% also handy + +% right: str = readfrom ("abc" & ".def" ) ; +% wrong: str = readfrom "abc" & ".def" ; + +% Every 62th read fails so we need to try again! + +% def readfile (expr name) = +% if (readfrom (name) <> EOF) : +% scantokens("input " & name & ";") ; +% elseif (readfrom (name) <> EOF) : +% scantokens("input " & name & ";") ; +% fi ; +% closefrom (name) ; +% enddef ; +% +% this sometimes fails on the elseif, so : +% + +def readfile (expr name) = + begingroup ; save ok ; boolean ok ; + if (readfrom (name) <> EOF) : + ok := false ; + elseif (readfrom (name) <> EOF) : + ok := false ; + else : + ok := true ; + fi ; + if not ok : + scantokens("input " & name & " ") ; + fi ; + closefrom (name) ; + endgroup ; +enddef ; + +% permits redefinition of end in macro + +inner end ; + +% this will be redone (when needed) using scripts and backend handling + +let normalwithcolor = withcolor ; + +def remapcolors = + def withcolor primary c = normalwithcolor remappedcolor(c) enddef ; +enddef ; + +def normalcolors = + let withcolor = normalwithcolor ; +enddef ; + +def resetcolormap = + color color_map[][][] ; + normalcolors ; +enddef ; + +resetcolormap ; + +% color_map_resolution := 1000 ; +% +% def r_color primary c = round(color_map_resolution*redpart c) enddef ; +% def g_color primary c = round(color_map_resolution*greenpart c) enddef ; +% def b_color primary c = round(color_map_resolution*bluepart c) enddef ; + +def r_color primary c = redpart c enddef ; +def g_color primary c = greenpart c enddef ; +def b_color primary c = bluepart c enddef ; + +def remapcolor(expr old, new) = + color_map[redpart old][greenpart old][bluepart old] := new ; +enddef ; + +def remappedcolor(expr c) = + if known color_map[redpart c][greenpart c][bluepart c] : + color_map[redpart c][greenpart c][bluepart c] + else : + c + fi +enddef ; + +% def refill suffix c = do_repath (1) (c) enddef ; +% def redraw suffix c = do_repath (2) (c) enddef ; +% def recolor suffix c = do_repath (0) (c) enddef ; +% +% color refillbackground ; refillbackground := (1,1,1) ; +% +% def do_repath (expr mode) (suffix c) text t = % can it be stroked and filled at the same time ? +% begingroup ; +% if mode=0 : save withcolor ; remapcolors ; fi ; +% save _c_, _cc_, _f_, _b_ ; picture _c_, _cc_ ; color _f_ ; path _b_ ; +% _c_ := c ; _b_ := boundingbox c ; c := nullpicture ; +% for i within _c_ : +% _f_ := (redpart i, greenpart i, bluepart i) ; +% if bounded i : +% setbounds c to pathpart i ; +% elseif clipped i : +% clip c to pathpart i ; +% elseif stroked i : +% addto c doublepath pathpart i +% dashed dashpart i withpen penpart i +% withcolor _f_ % (redpart i, greenpart i, bluepart i) +% if mode=2 : t fi ; +% elseif filled i : +% addto c contour pathpart i +% withcolor _f_ +% if (mode=1) and (_f_<>refillbackground) : t fi ; +% else : +% addto c also i ; +% fi ; +% endfor ; +% setbounds c to _b_ ; +% endgroup ; +% enddef ; + +% Thanks to Jens-Uwe Morawski for pointing out that we need +% to treat bounded and clipped components as local pictures. + +def recolor suffix p = p := repathed (0,p) enddef ; +def refill suffix p = p := repathed (1,p) enddef ; +def redraw suffix p = p := repathed (2,p) enddef ; +def retext suffix p = p := repathed (3,p) enddef ; +def untext suffix p = p := repathed (4,p) enddef ; + +% primarydef p recolored t = repathed(0,p) t enddef ; +% primarydef p refilled t = repathed(1,p) t enddef ; +% primarydef p redrawn t = repathed(2,p) t enddef ; +% primarydef p retexted t = repathed(3,p) t enddef ; +% primarydef p untexted t = repathed(4,p) t enddef ; + +color refillbackground ; refillbackground := (1,1,1) ; + +% vardef repathed (expr mode, p) text t = +% begingroup ; +% if mode=0 : save withcolor ; remapcolors ; fi ; +% save _p_, _pp_, _f_, _b_, _t_ ; +% picture _p_, _pp_ ; color _f_ ; path _b_ ; transform _t_ ; +% _b_ := boundingbox p ; _p_ := nullpicture ; +% for i within p : +% _f_ := (redpart i, greenpart i, bluepart i) ; +% if bounded i : +% _pp_ := repathed(mode,i) t ; +% setbounds _pp_ to pathpart i ; +% addto _p_ also _pp_ ; +% elseif clipped i : +% _pp_ := repathed(mode,i) t ; +% clip _pp_ to pathpart i ; +% addto _p_ also _pp_ ; +% elseif stroked i : +% addto _p_ doublepath pathpart i +% dashed dashpart i withpen penpart i +% withcolor _f_ % (redpart i, greenpart i, bluepart i) +% if mode=2 : t fi ; +% elseif filled i : +% addto _p_ contour pathpart i +% withcolor _f_ +% if (mode=1) and (_f_<>refillbackground) : t fi ; +% elseif textual i : % textpart i <> "" : +% if mode <> 4 : +% % transform _t_ ; +% % (xpart _t_, xxpart _t_, xypart _t_) = (xpart i, xxpart i, xypart i) ; +% % (ypart _t_, yypart _t_, yxpart _t_) = (ypart i, yypart i, yxpart i) ; +% % addto _p_ also +% % textpart i infont fontpart i % todo : other font +% % transformed _t_ +% % withpen penpart i +% % withcolor _f_ +% % if mode=3 : t fi ; +% addto _p_ also i if mode=3 : t fi ; +% fi ; +% else : +% addto _p_ also i ; +% fi ; +% endfor ; +% setbounds _p_ to _b_ ; +% _p_ +% endgroup +% enddef ; + +def restroke suffix p = p := repathed (21,p) enddef ; % keep attributes +def reprocess suffix p = p := repathed (22,p) enddef ; % no attributes + +% also 11 and 12 + +vardef repathed (expr mode, p) text t = + begingroup ; + if mode = 0 : + save withcolor ; + remapcolors ; + fi ; + save _p_, _pp_, _ppp_, _f_, _b_, _t_ ; + picture _p_, _pp_, _ppp_ ; color _f_ ; path _b_ ; transform _t_ ; + _b_ := boundingbox p ; + _p_ := nullpicture ; + for i within p : + _f_ := (redpart i, greenpart i, bluepart i) ; + if bounded i : + _pp_ := repathed(mode,i) t ; + setbounds _pp_ to pathpart i ; + addto _p_ also _pp_ ; + elseif clipped i : + _pp_ := repathed(mode,i) t ; + clip _pp_ to pathpart i ; + addto _p_ also _pp_ ; + elseif stroked i : + if mode=21 : + _ppp_ := i ; % indirectness is needed + addto _p_ also image(scantokens(t & " pathpart _ppp_") + dashed dashpart i withpen penpart i + withcolor _f_ ; ) ; + elseif mode=22 : + _ppp_ := i ; % indirectness is needed + addto _p_ also image(scantokens(t & " pathpart _ppp_")) ; + else : + addto _p_ doublepath pathpart i + dashed dashpart i withpen penpart i + withcolor _f_ % (redpart i, greenpart i, bluepart i) + if mode = 2 : + t + fi ; + fi ; + elseif filled i : + if mode=11 : + _ppp_ := i ; % indirectness is needed + addto _p_ also image(scantokens(t & " pathpart _ppp_") + withcolor _f_ ; ) ; + elseif mode=12 : + _ppp_ := i ; % indirectness is needed + addto _p_ also image(scantokens(t & " pathpart _ppp_")) ; + else : + addto _p_ contour pathpart i + withcolor _f_ + if (mode=1) and (_f_<>refillbackground) : + t + fi ; + fi ; + elseif textual i : % textpart i <> "" : + if mode <> 4 : + % transform _t_ ; + % (xpart _t_, xxpart _t_, xypart _t_) = (xpart i, xxpart i, xypart i) ; + % (ypart _t_, yypart _t_, yxpart _t_) = (ypart i, yypart i, yxpart i) ; + % addto _p_ also + % textpart i infont fontpart i % todo : other font + % transformed _t_ + % withpen penpart i + % withcolor _f_ + % if mode=3 : t fi ; + addto _p_ also i + if mode=3 : + t + fi ; + fi ; + else : + addto _p_ also i ; + fi ; + endfor ; + setbounds _p_ to _b_ ; + _p_ + endgroup +enddef ; + +% After a question of Denis on how to erase a z variable, Jacko +% suggested to assign whatever to x and y. So a clearz +% variable can be defined as: +% +% vardef clearz@# = +% x@# := whatever ; +% y@# := whatever ; +% enddef ; +% +% but Jacko suggested a redefinition of clearxy: +% +% def clearxy text s = +% clearxy_index_:=0; +% for $:=s: +% clearxy_index_:=clearxy_index_+1; endfor; +% if clearxy_index_=0: +% save x,y; +% else: +% forsuffixes $:=s: x$:=whatever; y$:=whatever; endfor; +% fi +% enddef; +% +% which i decided to simplify to: + +def clearxy text s = + if false for $ := s : or true endfor : + forsuffixes $ := s : x$ := whatever ; y$ := whatever ; endfor ; + else : + save x, y ; + fi +enddef ; + +% so now we can say: clearxy ; as well as clearxy 1, 2, 3 ; + +% show x0 ; z0 = (10,10) ; +% show x0 ; x0 := whatever ; y0 := whatever ; +% show x0 ; z0 = (20,20) ; +% show x0 ; clearxy 0 ; +% show x0 ; z0 = (30,30) ; + +primarydef p smoothed d = + (p llmoved (-xpart paired(d),0) -- p lrmoved (-xpart paired(d),0) {right} .. + p lrmoved (0,-ypart paired(d)) -- p urmoved (0,-ypart paired(d)) {up} .. + p urmoved (-xpart paired(d),0) -- p ulmoved (-xpart paired(d),0) {left} .. + p ulmoved (0,-ypart paired(d)) -- p llmoved (0,-ypart paired(d)) {down} .. cycle) +enddef ; + +primarydef p cornered c = + ((point 0 of p) shifted (c*(unitvector(point 1 of p - point 0 of p))) -- + for i=1 upto length(p) : + (point i-1 of p) shifted (c*(unitvector(point i of p - point i-1 of p))) -- + (point i of p) shifted (c*(unitvector(point i-1 of p - point i of p))) .. + controls point i of p .. + endfor cycle) +enddef ; + +% cmyk color support + +vardef cmyk(expr c,m,y,k) = + (1-c-k,1-m-k,1-y-k) +enddef ; + +% handy + +% vardef bbwidth (expr p) = % vardef width_of primary p = +% if known p : +% if path p or picture p : +% xpart (lrcorner p - llcorner p) +% else : +% 0 +% fi +% else : +% 0 +% fi +% enddef ; + +vardef bbwidth primary p = + if unknown p : + 0 + elseif path p or picture p : + xpart (lrcorner p - llcorner p) + else : + 0 + fi +enddef ; + +% vardef bbheight (expr p) = % vardef heigth_of primary p = +% if known p : +% if path p or picture p : +% ypart (urcorner p - lrcorner p) +% else : +% 0 +% fi +% else : +% 0 +% fi +% enddef ; + +vardef bbheight primary p = + if unknown p : + 0 + elseif path p or picture p : + ypart (urcorner p - lrcorner p) + else : + 0 + fi +enddef ; + +color nocolor ; numeric noline ; % both unknown signals + +def dowithpath (expr p, lw, lc, bc) = + if known p : + if known bc : + fill p withcolor bc ; + fi ; + if known lw and known lc : + draw p withpen pencircle scaled lw withcolor lc ; + elseif known lw : + draw p withpen pencircle scaled lw ; + elseif known lc : + draw p withcolor lc ; + fi ; + fi ; +enddef ; + +% result from metafont discussion list (denisr/boguslawj) + +def [[ = [ [ enddef ; def [[[ = [ [ [ enddef ; +def ]] = ] ] enddef ; def ]]] = ] ] ] enddef ; + +let == = = ; + +% added + +picture oddly ; % evenly already defined + +evenly := dashpattern(on 3 off 3) ; +oddly := dashpattern(off 3 on 3) ; + +% not perfect, but useful since it removes redundant points. + +vardef mfun_straightened(expr sign, p) = + save _p_, _q_ ; path _p_, _q_ ; + _p_ := p ; + forever : + _q_ := mfun_do_straightened(sign, _p_) ; + exitif length(_p_) = length(_q_) ; + _p_ := _q_ ; + endfor ; + _q_ +enddef ; + +vardef mfun_do_straightened(expr sign, p) = + if length(p)>2 : % was 1, but straight lines are ok + save pp ; path pp ; + pp := point 0 of p ; + for i=1 upto length(p)-1 : + if round(point i of p) <> round(point length(pp) of pp) : + pp := pp -- point i of p ; + fi ; + endfor ; + save n, ok ; numeric n ; boolean ok ; + n := length(pp) ; ok := false ; + if n>2 : + for i=0 upto n : % evt hier ook round + if unitvector(round(point i of pp - point if i=0 : n else : i-1 fi of pp)) <> + sign * unitvector(round(point if i=n : 0 else : i+1 fi of pp - point i of pp)) : + if ok : + -- + else : + ok := true ; + fi point i of pp + fi + endfor + if ok and (cycle p) : + -- cycle + fi + else : + pp + fi + else : + p + fi +enddef ; + +vardef simplified expr p = ( + reverse mfun_straightened(+1,mfun_straightened(+1,reverse p)) +) enddef ; + +vardef unspiked expr p = ( + reverse mfun_straightened(-1,mfun_straightened(-1,reverse p)) +) enddef ; + +% path p ; +% p := (2cm,1cm) -- (2cm,1cm) -- (2cm,1cm) -- (3cm,1cm) -- +% (4cm,1cm) -- (4cm,2cm) -- (4cm,2.5cm) -- (4cm,3cm) -- +% (3cm,3cm) -- (2cm,3cm) -- (1cm,3cm) -- (-1cm,3cm) -- +% .5[(-1cm,3cm),(1cm,1cm)] -- (1cm,1cm) -- cycle ; +% +% p := unitcircle scaled 4cm ; +% +% drawpath p ; drawpoints p ; drawpointlabels p ; +% p := p shifted (4cm,0) ; p := straightened p ; +% drawpath p ; drawpoints p ; drawpointlabels p ; +% p := p shifted (4cm,0) ; p := straightened p ; +% drawpath p ; drawpoints p ; drawpointlabels p ; + +% new + +path originpath ; originpath := origin -- cycle ; + +vardef unitvector primary z = + if abs z = abs origin : z else : z/abs z fi +enddef; + +% also new + +% vardef anchored@#(expr p, z) = % maybe use the textext variant +% p shifted (z + (labxf@#*lrcorner p + labyf@#*ulcorner p + (1-labxf@#-labyf@#)*llcorner p)) +% enddef ; + +% epsed(1.2345) + +vardef epsed (expr e) = + e if e>0 : + eps elseif e<0 : - eps fi +enddef ; + +% handy + +def withgray primary g = + withcolor (g,g,g) +enddef ; + +% for metafun + +if unknown darkred : color darkred ; darkred := .625(1,0,0) fi ; +if unknown darkgreen : color darkgreen ; darkgreen := .625(0,1,0) fi ; +if unknown darkblue : color darkblue ; darkblue := .625(0,0,1) fi ; +if unknown darkcyan : color darkcyan ; darkcyan := .625(0,1,1) fi ; +if unknown darkmagenta : color darkmagenta ; darkmagenta := .625(1,0,1) fi ; +if unknown darkyellow : color darkyellow ; darkyellow := .625(1,1,0) fi ; +if unknown darkgray : color darkgray ; darkgray := .625(1,1,1) fi ; +if unknown lightgray : color lightgray ; lightgray := .850(1,1,1) fi ; + +% an improved plain mp macro + +vardef center primary p = + if pair p : + p + else : + .5[llcorner p, urcorner p] + fi +enddef; + +% new, yet undocumented + +vardef rangepath (expr p, d, a) = + if length p>0 : + (d*unitvector(direction 0 of p) rotated a) shifted point 0 of p + -- p -- + (d*unitvector(direction length(p) of p) rotated a) shifted point length(p) of p + else : + p + fi +enddef ; + +% under construction + +vardef straightpath (expr a, b, method) = + if (method<1) or (method>6) : + (a--b) + elseif method = 1 : + (a -- + if xpart a > xpart b : + if ypart a > ypart b : + (xpart b,ypart a) -- + elseif ypart a < ypart b : + (xpart a,ypart b) -- + fi + elseif xpart a < xpart b : + if ypart a > ypart b : + (xpart a,ypart b) -- + elseif ypart a < ypart b : + (xpart b,ypart a) -- + fi + fi + b) + elseif method = 3 : + (a -- + if xpart a > xpart b : + (xpart b,ypart a) -- + elseif xpart a < xpart b : + (xpart a,ypart b) -- + fi + b) + elseif method = 5 : + (a -- + if ypart a > ypart b : + (xpart b,ypart a) -- + elseif ypart a < ypart b : + (xpart a,ypart b) -- + fi + b) + else : + (reverse straightpath(b,a,method-1)) + fi +enddef ; + +% handy for myself + +def addbackground text t = + begingroup ; + save p, b ; picture p ; path b ; + b := boundingbox currentpicture ; + p := currentpicture ; currentpicture := nullpicture ; + fill b t ; + setbounds currentpicture to b ; + addto currentpicture also p ; + endgroup ; +enddef ; + +% makes a (line) into an infinite one (handy for calculating +% intersection points + +vardef infinite expr p = + (-infinity*unitvector(direction 0 of p) + shifted point 0 of p + -- p -- + +infinity*unitvector(direction length(p) of p) + shifted point length(p) of p) +enddef ; + +% obscure macros: create var from string and replace - and : +% (needed for process color id's) .. will go away + +string mfun_clean_ascii[] ; + +def register_dirty_chars(expr str) = + for i = 0 upto length(str)-1 : + mfun_clean_ascii[ASCII substring(i,i+1) of str] := "_" ; + endfor ; +enddef ; + +register_dirty_chars("+-*/:;., ") ; + +vardef cleanstring (expr s) = + save ss ; string ss, si ; ss = "" ; save i ; + for i=0 upto length(s) : + si := substring(i,i+1) of s ; + ss := ss & if known mfun_clean_ascii[ASCII si] : mfun_clean_ascii[ASCII si] else : si fi ; + endfor ; + ss +enddef ; + +vardef asciistring (expr s) = + save ss ; string ss, si ; ss = "" ; save i ; + for i=0 upto length(s) : + si := substring(i,i+1) of s ; + if (ASCII si >= ASCII "0") and (ASCII si <= ASCII "9") : + ss := ss & char(scantokens(si) + ASCII "A") ; + else : + ss := ss & si ; + fi ; + endfor ; + ss +enddef ; + +vardef setunstringed (expr s, v) = + scantokens(cleanstring(s)) := v ; +enddef ; + +vardef getunstringed (expr s) = + scantokens(cleanstring(s)) +enddef ; + +vardef unstringed (expr s) = + expandafter known scantokens(cleanstring(s)) +enddef ; + +% for david arnold: + +% showgrid(-5,10,1cm,-10,10,1cm); + +def showgrid (expr MinX, MaxX, DeltaX, MinY, MaxY, DeltaY) = % will move + begingroup + save size ; numeric size ; size := 2pt ; + for x=MinX upto MaxX : + for y=MinY upto MaxY : + draw (x*DeltaX, y*DeltaY) withpen pencircle scaled + if (x mod 5 = 0) and (y mod 5 = 0) : + 1.5size withcolor .50white + else : + size withcolor .75white + fi ; + endfor ; + endfor ; + for x=MinX upto MaxX: + label.bot(textext("\infofont " & decimal x), (x*DeltaX,-size)) ; + endfor ; + for y=MinY upto MaxY: + label.lft(textext("\infofont " & decimal y), (-size,y*DeltaY)) ; + endfor ; + endgroup +enddef; + +% new, handy for: +% +% \startuseMPgraphic{map}{n} +% \includeMPgraphic{map:germany} ; +% c_phantom (\MPvar{n}<1) ( +% fill map_germany withcolor \MPcolor{lightgray} ; +% draw map_germany withpen pencircle scaled 1pt withcolor \MPcolor{darkgray} ; +% ) ; +% \includeMPgraphic{map:austria} ; +% c_phantom (\MPvar{n}<2) ( +% fill map_austria withcolor \MPcolor{lightgray} ; +% draw map_austria withpen pencircle scaled 1pt withcolor \MPcolor{darkgray} ; +% ) ; +% c_phantom (\MPvar{n}<3) ( +% \includeMPgraphic{map:swiss} ; +% fill map_swiss withcolor \MPcolor{lightgray} ; +% draw map_swiss withpen pencircle scaled 1pt withcolor \MPcolor{darkgray} ; +% ) ; +% c_phantom (\MPvar{n}<4) ( +% \includeMPgraphic{map:luxembourg} ; +% fill map_luxembourg withcolor \MPcolor{lightgray} ; +% draw map_luxembourg withpen pencircle scaled 1pt withcolor \MPcolor{darkgray} ; +% ) ; +% \stopuseMPgraphic +% +% \useMPgraphic{map}{n=3} + +vardef phantom (text t) = % to be checked + picture _p_ ; + _p_ := image(t) ; + addto _p_ also currentpicture ; + setbounds currentpicture to boundingbox _p_ ; +enddef ; + +vardef c_phantom (expr b) (text t) = + if b : + picture _p_ ; + _p_ := image(t) ; + addto _p_ also currentpicture ; + setbounds currentpicture to boundingbox _p_ ; + else : + t ; + fi ; +enddef ; + +%D Handy: + +def break = + exitif true fi ; +enddef ; + +%D New too: + +primarydef p xstretched w = ( + p if (bbwidth (p)>0) and (w>0) : xscaled (w/bbwidth (p)) fi +) enddef ; + +primarydef p ystretched h = ( + p if (bbheight(p)>0) and (h>0) : yscaled (h/bbheight(p)) fi +) enddef ; + +primarydef p snapped s = + hide ( + if path p : + forever : + exitif (bbheight(p) <= s) and (bbwidth(p) <= s) ; + p := p scaled (1/2) ; + endfor ; + elseif numeric p : + forever : + exitif p <= s ; + p := p scaled (1/2) ; + endfor ; + fi ; + ) + p +enddef ; + +% vardef somecolor = (1,1,0,0) enddef ; + +% fill OverlayBox withcolor (rcomponent somecolor,gcomponent somecolor,bcomponent somecolor) ; +% fill OverlayBox withcolor (ccomponent somecolor,mcomponent somecolor,ycomponent somecolor,bcomponent somecolor) ; + +% This could be standard mplib 2 behaviour: + +vardef rcomponent expr p = if rgbcolor p : redpart p elseif cmykcolor p : 1 - cyanpart p else : p fi enddef ; +vardef gcomponent expr p = if rgbcolor p : greenpart p elseif cmykcolor p : 1 - magentapart p else : p fi enddef ; +vardef bcomponent expr p = if rgbcolor p : bluepart p elseif cmykcolor p : 1 - yellowpart p else : p fi enddef ; +vardef ccomponent expr p = if cmykcolor p : cyanpart p elseif rgbcolor p : 1 - redpart p else : p fi enddef ; +vardef mcomponent expr p = if cmykcolor p : magentapart p elseif rgbcolor p : 1 - greenpart p else : p fi enddef ; +vardef ycomponent expr p = if cmykcolor p : yellowpart p elseif rgbcolor p : 1 - bluepart p else : p fi enddef ; +vardef bcomponent expr p = if cmykcolor p : blackpart p elseif rgbcolor p : 0 else : p fi enddef ; + +% draw image (...) ... ; % prescripts prepended to first, postscripts appended to last +% draw decorated (...) ... ; % prescripts prepended to each, postscripts appended to each +% draw redecorated (...) ... ; % prescripts assigned to each, postscripts assigned to each +% draw undecorated (...) ... ; % following properties are ignored, existing properties are kept +% +% draw decorated ( +% draw fullcircle scaled 20cm withpen pencircle scaled 20mm withcolor red withtransparency (1,.40) ; +% draw fullcircle scaled 15cm withpen pencircle scaled 15mm withcolor green withtransparency (1,.30) ; +% draw fullcircle scaled 10cm withpen pencircle scaled 10mm withcolor blue withtransparency (1,.20) ; +% ) +% withcolor blue +% withtransparency (1,.125) % selectively applied +% withpen pencircle scaled 10mm +% ; + +% vardef image (text imagedata) = % already defined +% save currentpicture ; +% picture currentpicture ; +% currentpicture := nullpicture ; +% imagedata ; +% currentpicture +% enddef ; + +vardef undecorated (text imagedata) text decoration = + save currentpicture ; + picture currentpicture ; + currentpicture := nullpicture ; + imagedata ; + currentpicture +enddef ; + + +if metapostversion < 1.770 : + + vardef decorated (text imagedata) text decoration = + save mfun_decorated_path, currentpicture ; + picture mfun_decorated_path, currentpicture ; + currentpicture := nullpicture ; + imagedata ; + mfun_decorated_path := currentpicture ; + currentpicture := nullpicture ; + for i within mfun_decorated_path : + addto currentpicture + if stroked i : + doublepath pathpart i + dashed dashpart i + withpen penpart i + withcolor colorpart i + decoration + elseif filled i : + contour pathpart i + withpen penpart i + withcolor colorpart i + decoration + elseif textual i : + also i + withcolor colorpart i + decoration + else : + also i + fi + ; + endfor ; + currentpicture + enddef ; + +else: + + vardef decorated (text imagedata) text decoration = + save mfun_decorated_path, currentpicture ; + picture mfun_decorated_path, currentpicture ; + currentpicture := nullpicture ; + imagedata ; + mfun_decorated_path := currentpicture ; + currentpicture := nullpicture ; + for i within mfun_decorated_path : + addto currentpicture + if stroked i : + doublepath pathpart i + dashed dashpart i + withpen penpart i + withcolor colorpart i + withprescript prescriptpart i + withpostscript postscriptpart i + decoration + elseif filled i : + contour pathpart i + withpen penpart i + withcolor colorpart i + withprescript prescriptpart i + withpostscript postscriptpart i + decoration + elseif textual i : + also i + withcolor colorpart i + withprescript prescriptpart i + withpostscript postscriptpart i + decoration + else : + also i + fi + ; + endfor ; + currentpicture + enddef ; + +fi ; + +vardef redecorated (text imagedata) text decoration = + save mfun_decorated_path, currentpicture ; + picture mfun_decorated_path, currentpicture ; + currentpicture := nullpicture ; + imagedata ; + mfun_decorated_path := currentpicture ; + currentpicture := nullpicture ; + for i within mfun_decorated_path : + addto currentpicture + if stroked i : + doublepath pathpart i + dashed dashpart i + withpen penpart i + decoration + elseif filled i : + contour pathpart i + withpen penpart i + decoration + elseif textual i : + also i + decoration + else : + also i + fi + ; + endfor ; + currentpicture +enddef ; + +% path mfun_bleed_box ; + +% primarydef p bleeded d = +% image ( +% mfun_bleed_box := boundingbox p ; +% if pair d : +% draw p xysized (bbwidth(p)+2*xpart d,bbheight(p)+2*ypart d) shifted -d ; +% else : +% draw p xysized (bbwidth(p)+2d,bbheight(p)+2d) shifted (-d,-d) ; +% fi ; +% setbounds currentpicture to mfun_bleed_box ; +% ) +% enddef ; + +%D New helpers: + +def beginglyph(expr unicode, width, height, depth) = + beginfig(unicode) ; % the number is irrelevant + charcode := unicode ; + charwd := width ; + charht := height ; + chardp := depth ; +enddef ; + +def endglyph = + setbounds currentpicture to (boundingbox unitsquare xscaled charwd yscaled (charht + chardp) shifted (0,-chardp)) ; + if known charscale : + currentpicture := currentpicture scaled charscale ; + fi ; + endfig ; +enddef ; + +%D Dimensions have bever been an issue as traditional MP can't make that large +%D pictures, but with double mode we need a catch: + +newinternal maxdimensions ; maxdimensions := 14000 ; + +def mfun_apply_max_dimensions = % not a generic helper, we want to protect this one + if bbwidth currentpicture > maxdimensions : + currentpicture := currentpicture if bbheight currentpicture > bbwidth currentpicture : ysized else : xsized fi maxdimensions ; + elseif bbheight currentpicture > maxdimensions : + currentpicture := currentpicture ysized maxdimensions ; + fi ; +enddef; + +extra_endfig := extra_endfig & "mfun_apply_max_dimensions ;" ; + +let dump = relax ; |