29.11.2012
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216 9.3 Drawing functions Today there are powerful tools to draw functions on grids, but for simple functions you can comfortably use METAPOST. Let's first draw a simple log--linear grid. drawoptions(withpen pencircle scaled .25pt withcolor .5white) ; draw hlingrid (0, 20, .2, 20cm, 10cm) ; draw vloggrid (0, 10, .5, 10cm, 20cm) ; drawoptions(withpen pencircle scaled .50pt) ; draw hlingrid (0, 20, 1, 20cm, 10cm) ; draw vloggrid (0, 10, 1, 10cm, 20cm) ; To this grid we add some labels: fmt_pictures := false ; % use TeX as formatting engine textextoffset := ExHeight ; % a variable set by ConTeXt draw hlintext.lft(0, 20, 5, 20cm, "@3e") ; draw vlogtext.bot(0, 10, 9, 10cm, "@3e") ; The arguments to the text placement macros are similar to the ones for drawing the axes. Here we provide a format string. hlintext (Min, Max, Step, Length, Format) vlintext (Min, Max, Step, Length, Format) hlogtext (Min, Max, Step, Length, Format) vlogtext (Min, Max, Step, Length, Format) When drawing a smooth function related curve, you need to provide enough sample points. The function macro will generate them for you, but you need to make sure that for instance the maximum and minimum values are part of the generated series of points. Also, a smooth curve is not always the right curve. Therefore we provide three drawing modes: method result 1 a punked curve, drawn using -- 2 a smooth curve, drawn using .. 3 a tight curve, drawn using ... If method 2 or 3 do not give the desired outcome, you can try a smaller step combined with method 1. draw function(1,"log(x)","x",1,10,1) xyscaled (10cm,2cm) withpen pencircle scaled 5mm withcolor transparent(1,.5,yellow) ; draw Functions Drawing functions
2 − ×10 1 − 1 0×100 Figure 9.2 An example of a graphic with labels along the axes. Drawing functions Functions 217
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Hans Hagen metafun context mkiv
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Introduction This document is about
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Content Conventions . . . . . . . .
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1 Conventions When reading this man
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1 Welcome to MetaPost 1.1 Paths 2 I
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The open path is defined as: (1cm,1
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1.2 Transformations We can store a
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(x,y) zscaled (u,v) (xu − yv,xv +
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z0 = (0.5cm,1.5cm) ; z1 = (2.5cm,2.
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4 0 1 3 2 "z0..z1..z2..z3..z0" Only
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0 1 3 2 "z0..z1..z2--z3" Watch how
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0 1 0 2 2 1 "(z0..z1..z2..z3) cutaf
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2 0 1 Using ( ) is not mandatory bu
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0 4 1 3 2 0 These two graphics were
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Since we don't consider this unfill
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First there is the concept of varia
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1.8 Loops Yet another programming c
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If in the definition of doublescale
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test (a) (b) (c) (d) ; test (a,b) (
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If you forget about the colors, the
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linejoin=mitered linecap=butt linej
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1.15 Text Most dashpatterns can be
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Z13 Z24 Z14 Z1 Z12 Z2 Z21 Z23 Z11 Z
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3 Because we want to call this macr
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dotlabel.rt ("$Z_{3}$", z3) ; dotla
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A different approach is to use a tw
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The graphic extends beyond the boun
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p := (p shifted (5cm,0)) randomized
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path p ; p := (0,0) -- (2cm,3cm) ;
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path p ; p := (0cm,0cm) -- (4cm,1cm
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Here, the image macro creates an (a
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So, in addition to on to specify a
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Watch how we can pass a point (poin
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2 A few more details In this chapte
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The second line does just as it say
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fill shape ; draw shape ; filldraw
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2.3 Units 6 As you can see here, as
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2.4 Scaling and shifting When we dr
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Especially when a path results from
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points first order curve second ord
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first iteration second iteration th
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and get: We don't even need that mu
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Figure 2.3 Circles with minimized i
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The tension specifier can be used t
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The asymetrical tensions are less p
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z0 .. z1 .. z2 z0 {curl 1} .. z1 ..
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7 In literature concerning POSTSCRI
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currentpicture := currentpicture sl
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We can achieve this by defining poi
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We're still not there. Like in a pr
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Due to the thicker line width used
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left up down right The previous def
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Here the & glues strings together,
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picture p ; p := "MetaFun" normalin
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pickup pencircle scaled 2pt ; draw
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Because the z--variables are used f
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3 Embedded graphics In addition to
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\startMPcode fill fullcircle scaled
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\startuniqueMPgraphic{right or wron
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{\externalfigure[mprun:extrafun::my
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\startlinecorrection[blank] \proces
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In order to prevent problems, we ad
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There are a few more low level swit
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When we convert color to gray, we u
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4 Enhancing the layout One of the m
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4.2 Overlay variables [offset=3pt,f
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This background demonstrates that a
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As you may know, TEX's ambassador i
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This works as expected: \RotatedTex
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We will now apply this knowledge of
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p := p shifted (2o,OverlayHeight-yp
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We demonstrated that when defining
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5 Positional graphics In this chapt
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5.2 Anchors and layers In a previou
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pab := pab cutafter (pab intersecti
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fill p withcolor \MPcolor{lightgray
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The previous example also demonstra
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\setMPlayer [test] [somepos-1] [loc
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6 Page backgrounds Especially in in
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As soon as you want to make an elec
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do_it (1,4,false) ; do_it (5,4,fals
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gigigi Watch how the bounding boxes
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You can test this concept yourself
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StartPage ; fill Area[Text][Text] s
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fi ; Main := Main enlarged 6pt ; pi
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ulcorner Field[Text] [Text] -urcorn
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The left picture demonstrates what
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There are two more operators: inner
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7 Shapes, symbols and buttons One c
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Table 7.1 demonstrates how scratch
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for i := 1 upto \MPvar{n} : xpos :=
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This table is defined as: \bTABLE[f
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Since we have collected some nice b
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8 Special effects Sometimes we want
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Because of this implementation, sha
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test_shade(origin shifted (.25cm,0)
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fill p shifted (3cm,0) withcolor .5
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\definecolor [tred] [r=1,t=.5,a=exc
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Figure 8.4 Another clipped cow. \pl
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withpen pencircle scaled 4mm withco
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Because this graphic is the result
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The resulting PDF file can be inclu
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Including another METAPOST graphic,
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After these examples your are proba
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In this graphic, we have two text f
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} {}} Here we feed some MATHML int
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9 Functions METAPOST provides a wid
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9.2 Grids Some day you may want to
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13 13 13 13 Figure 9.1 Quick and di
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Figure 9.3 By using transparent col
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There are enough applications out t
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Of course we could extend this LUA
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10 Typesetting in METAPOST It is sa
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Meta is a female lion! Figure 10.2
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We use the low level CONTEXT macro
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So, now we have: M etaPostisFun! Wh
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n := n + 1 ; len[n] := \the\wd\MPbo
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ap := point at of RotPath ; ad := d
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\startoverlay {\startuseMPgraphic{f
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\startuseMPgraphic{text draw} draw
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vsize := ypart urcorner p - ypart l
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We are now ready for an attempt to
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We can manipulate the heigth and de
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\strutheight) ; % height of first l
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w := h := 6cm ; o := 6pt ; path p ;
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Donald Knuth has spent the past sev
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Donald Knuth has spent the past sev
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11 Debugging Those familiar with CO
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4 3 5 2 6 1 0 7 8 You can pass opti
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3 4 0 2 1 Of course you may want to
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12 Defining styles Since the integr
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color=gray, contrastcolor=gray, sty
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def right_menu_button (expr nn, rr,
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\Topic {Edward R. Tufte} \input tuf
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A Few Nice Quotes A Simple Style De
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13 A few applications For those who
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vardef spring (expr a, b, w, h, n)
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There is a numeric constant labelof
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text text text text text text text
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p := fullcircle scaled (2*length(lo
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These definitions of anglebetween a
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Because in most cases we want the l
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γ δ β ɛ α ζ δ γ β ɛ metho
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There are for sure more (efficient)
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The next circle that we draw shows
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popcurrentpicture ; enddef ; Here,
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draw (u,i) -- (2u,i) withcolor .5wh
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Figure 13.4 Koffka's examples of ma
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\startbuffer[a] def start_everythin
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pointC := circleA intersectionpoint
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draw_basics ; draw_circles ; draw_i
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Figure 13.6 Bisecting a line segmen
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z1 = (0, height/2) ; z2 = (width/2-
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The clipping path is applied by say
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13.8 Music sheets The next example
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The euro symbol A few applications
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draw i withpen pencircle scaled 1pt
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16 draw b withpen pencircle scaled
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\startMPcode \includeMPgraphic{gamb
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14 METAFUN macros CONTEXT comes wit
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A METAPOST syntax In the METAFONT b
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〈number or fraction〉 → 〈num
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〈suffix〉 → 〈empty〉 | 〈s
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〈assignment〉 → 〈variable〉
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〈command〉 → clip 〈picture v
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〈if test〉 → if 〈boolean exp
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B This document This document is pr
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C Reference C.1 Paths In this chapt
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tension atleast numeric (0,0)..(.75
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angle origin--dir(angle(1,1)) metap
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circle bcircle metafun variable lci
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path randomized numeric/pair unitsq
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path stretched numeric/pair (fullci
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path zscaled pair fullcircle zscale
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path llenlarged numeric fullcircle
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path urmoved numeric fullcircle urm
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everse path reverse fullcircle shif
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oundingbox path boundingbox fullcir
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C.3 Points top pair top center full
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C.4 Attributes withcolor rgbcolor w
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draw draw fullcircle metapost macro
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ounded linecap := rounded metapost
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label.top label.top("MetaFun",origi
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D Literature There is undoubtly mor
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Index a anchoring 143, 145 angles 2
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This document introduces you in the
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