MetaFun - Pragma ADE

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84 Figure 2.5 Circles with minimized inflection and 50% randomized points. Figure 2.6 Circles with minimized inflection and 100% randomized points. A few more details Inflection, tension and curl
The tension specifier can be used to influence the curvature. To quote the METAPOST manual once more: “The tension parameter can be less than one, but it must be at least 3/4”. The following paths are the same: z1 .. z2 z1 .. tension 1 .. z2 z1 .. tension 1 and 1 .. z2 The triple dot command ... is actually a macro that makes the following commands equivalent. Both commands will draw identical paths. z1 ... z2 z1 .. tension atleast 1 .. z2 The atleast directive tells METAPOST to do some magic behind the screens. Both the 3/4 and the atleast lead directly to the question: “What, exactly, is the influence of the tension directive?” We will try to demystify the tension specifier through a sequence of graphics. u := 1cm ; z1 = (0,0) ; z2 = (2u,4u) ; z3 = (4u,0) ; def sample (expr p, c) = draw p withpen pencircle scaled 2.5mm withcolor white ; draw p withpen pencircle scaled 2.0mm withcolor c ; enddef ; for i=.75 step .05 until 1 : sample (z1 .. tension i .. z2 .. z3, .625red) ; endfor ; for i=1 step .05 until 2 : sample (z1 .. tension i .. z2 .. z3, .625yellow) ; endfor ; sample (z1 .. z2 .. z3, .625white) ; sample (z1 ... z2 ... z3, .625white) ; Indeed values less than .75 give an error message, but large values are okay. As you can see, the two gray curves are the same. Here, atleast 1 means 1, even if larger values are useful. Inflection, tension and curl A few more details 85
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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
Page 37 and 38: If in the definition of doublescale
Page 39 and 40: test (a) (b) (c) (d) ; test (a,b) (
Page 41 and 42: If you forget about the colors, the
Page 43 and 44: linejoin=mitered linecap=butt linej
Page 45 and 46: 1.15 Text Most dashpatterns can be
Page 47 and 48: Z13 Z24 Z14 Z1 Z12 Z2 Z21 Z23 Z11 Z
Page 49 and 50: 3 Because we want to call this macr
Page 51 and 52: dotlabel.rt ("$Z_{3}$", z3) ; dotla
Page 53 and 54: A different approach is to use a tw
Page 55 and 56: The graphic extends beyond the boun
Page 57 and 58: p := (p shifted (5cm,0)) randomized
Page 59 and 60: path p ; p := (0,0) -- (2cm,3cm) ;
Page 61 and 62: path p ; p := (0cm,0cm) -- (4cm,1cm
Page 63 and 64: Here, the image macro creates an (a
Page 65 and 66: So, in addition to on to specify a
Page 67 and 68: Watch how we can pass a point (poin
Page 69 and 70: 2 A few more details In this chapte
Page 71 and 72: The second line does just as it say
Page 73 and 74: fill shape ; draw shape ; filldraw
Page 75 and 76: 2.3 Units 6 As you can see here, as
Page 77 and 78: 2.4 Scaling and shifting When we dr
Page 79 and 80: Especially when a path results from
Page 81 and 82: points first order curve second ord
Page 83 and 84: first iteration second iteration th
Page 85 and 86: and get: We don't even need that mu
Page 87: Figure 2.3 Circles with minimized i
Page 91 and 92: The asymetrical tensions are less p
Page 93 and 94: z0 .. z1 .. z2 z0 {curl 1} .. z1 ..
Page 95 and 96: 7 In literature concerning POSTSCRI
Page 97 and 98: currentpicture := currentpicture sl
Page 99 and 100: We can achieve this by defining poi
Page 101 and 102: We're still not there. Like in a pr
Page 103 and 104: Due to the thicker line width used
Page 105 and 106: left up down right The previous def
Page 107 and 108: Here the & glues strings together,
Page 109 and 110: picture p ; p := "MetaFun" normalin
Page 111 and 112: pickup pencircle scaled 2pt ; draw
Page 113 and 114: Because the z--variables are used f
Page 115 and 116: 3 Embedded graphics In addition to
Page 117 and 118: \startMPcode fill fullcircle scaled
Page 119 and 120: \startuniqueMPgraphic{right or wron
Page 121 and 122: {\externalfigure[mprun:extrafun::my
Page 123 and 124: \startlinecorrection[blank] \proces
Page 125 and 126: In order to prevent problems, we ad
Page 127 and 128: There are a few more low level swit
Page 129 and 130: When we convert color to gray, we u
Page 131 and 132: 4 Enhancing the layout One of the m
Page 133 and 134: 4.2 Overlay variables [offset=3pt,f
Page 135 and 136: This background demonstrates that a
Page 137 and 138: 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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2 − ×10 1 − 1 0×100 Figure 9.
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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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