6.3 Pens

In Asymptote, pens provide a context for the four basic drawing commands (see section Drawing commands). They are used to specify the following drawing attributes: color, line type, line width, line cap, line join, fill rule, text alignment, font, font size, pattern, overwrite mode, and calligraphic transforms on the pen nib. The default pen used by the drawing routines is called currentpen. This provides the same functionality as the MetaPost command pickup. The implicit initializer for pens is defaultpen.

Pens may be added together with the nonassociative binary operator +. This will add the colors of the two pens. All other non-default attributes of the rightmost pen will override those of the leftmost pen. Thus, one can obtain a yellow dashed pen by saying dashed+red+green or red+green+dashed or red+dashed+green. The binary operator * can be used to scale the color of a pen by a real number, until it saturates with one or more color components equal to 1.

• Colors are specified using one of the following colorspaces:

  pen gray(real g);

  This produces a grayscale color, where the intensity g lies in the interval [0,1], with 0.0 denoting black and 1.0 denoting white.

  pen rgb(real r, real g, real b);

  This produces an RGB color, where each of the red, green, and blue intensities r, g, b, lies in the interval [0,1].

  pen cmyk(real c, real m, real y, real k);

  This produces a CMYK color, where each of the cyan, magenta, yellow, and black intensities c, m, y, k, lies in the interval [0,1].

  pen invisible;

  This special pen writes in invisible ink, but adjusts the bounding box as if something had been drawn (like the \phantom command in TeX). The function bool invisible(pen) can be used to test whether a pen is invisible.

  The default color is black; this may be changed with the routine defaultpen(pen). The function colorspace(pen p) returns the colorspace of pen p as a string ("gray", "rgb", "cmyk", or "").

  The function real[] colors(pen) returns the color components of a pen. The functions pen gray(pen), pen rgb(pen), and pen cmyk(pen) return new pens obtained by converting their arguments to the respective color spaces. The function colorless(pen=currentpen) returns a copy of its argument with the color attributes stripped (to avoid color mixing).

  A 6-character RGB hexidecimal string can be converted to a pen with the routine

  pen rgb(string s);
  

  A pen can be converted to a hexidecimal string with

• string hex(pen p);

  Various shades and mixtures of the grayscale primary colors black and white, RGB primary colors red, green, and blue, and RGB secondary colors cyan, magenta, and yellow are defined as named colors, along with the CMYK primary colors Cyan, Magenta, Yellow, and Black, in the module plain:

  
  

  The standard 140 RGB X11 colors can be imported with the command

  import x11colors;
  

  and the standard 68 CMYK TeX colors can be imported with the command

  import texcolors;
  

  Note that there is some overlap between these two standards and the definitions of some colors (e.g. Green) actually disagree.

  Asymptote also comes with a asycolors.sty LaTeX package that defines to LaTeX CMYK versions of Asymptote’s predefined colors, so that they can be used directly within LaTeX strings. Normally, such colors are passed to LaTeX via a pen argument; however, to change the color of only a portion of a string, say for a slide presentation, (see section slide) it may be desirable to specify the color directly to LaTeX. This file can be passed to LaTeX with the Asymptote command

  usepackage("asycolors");
  

  The structure hsv defined in plain_pens.asy may be used to convert between HSV and RGB spaces, where the hue h is an angle in [0,360) and the saturation s and value v lie in [0,1]:

  pen p=hsv(180,0.5,0.75);
  write(p);           // ([default], red=0.375, green=0.75, blue=0.75)
  hsv q=p;
  write(q.h,q.s,q.v); // 180     0.5     0.75
  

• Line types are specified with the function pen linetype(real[] a, real offset=0, bool scale=true, bool adjust=true), where a is an array of real array numbers. The optional parameter offset specifies where in the pattern to begin. The first number specifies how far (if scale is true, in units of the pen line width; otherwise in PostScript units) to draw with the pen on, the second number specifies how far to draw with the pen off, and so on. If adjust is true, these spacings are automatically adjusted by Asymptote to fit the arclength of the path. Here are the predefined line types:

  pen solid=linetype(new real[]);
  pen dotted=linetype(new real[] {0,4});
  pen dashed=linetype(new real[] {8,8});
  pen longdashed=linetype(new real[] {24,8});
  pen dashdotted=linetype(new real[] {8,8,0,8});
  pen longdashdotted=linetype(new real[] {24,8,0,8});
  pen Dotted(pen p=currentpen) {return linetype(new real[] {0,3})+2*linewidth(p);}
  pen Dotted=Dotted();
  

  
  

  The default line type is solid; this may be changed with defaultpen(pen). The line type of a pen can be determined with the functions real[] linetype(pen p=currentpen), real offset(pen p), bool scale(pen p), and bool adjust(pen p).

• The pen line width is specified in PostScript units with pen linewidth(real). The default line width is 0.5 bp; this value may be changed with defaultpen(pen). The line width of a pen is returned by real linewidth(pen p=currentpen). For convenience, in the module plain_pens we define

  void defaultpen(real w) {defaultpen(linewidth(w));}
  pen operator +(pen p, real w) {return p+linewidth(w);}
  pen operator +(real w, pen p) {return linewidth(w)+p;}
  

  so that one may set the line width like this:

  defaultpen(2);
  pen p=red+0.5;
  

• A pen with a specific PostScript line cap is returned on calling linecap with an integer argument:

  pen squarecap=linecap(0);
  pen roundcap=linecap(1);
  pen extendcap=linecap(2);
  

  The default line cap, roundcap, may be changed with defaultpen(pen). The line cap of a pen is returned by int linecap(pen p=currentpen).

• A pen with a specific PostScript join style is returned on calling linejoin with an integer argument:

  pen miterjoin=linejoin(0);
  pen roundjoin=linejoin(1);
  pen beveljoin=linejoin(2);
  

  The default join style, roundjoin, may be changed with defaultpen(pen).The join style of a pen is returned by int linejoin(pen p=currentpen).

• A pen with a specific PostScript miter limit is returned by calling miterlimit(real). The default miterlimit, 10.0, may be changed with defaultpen(pen). The miter limit of a pen is returned by real miterlimit(pen p=currentpen).

• A pen with a specific PostScript fill rule is returned on calling fillrule with an integer argument:

  pen zerowinding=fillrule(0);
  pen evenodd=fillrule(1);
  

  The fill rule, which identifies the algorithm used to determine the insideness of a path or array of paths, only affects the clip, fill, and inside functions. For the zerowinding fill rule, a point z is outside the region bounded by a path if the number of upward intersections of the path with the horizontal line z--z+infinity minus the number of downward intersections is zero. For the evenodd fill rule, z is considered to be outside the region if the total number of such intersections is even. The default fill rule, zerowinding, may be changed with defaultpen(pen). The fill rule of a pen is returned by int fillrule(pen p=currentpen).

• A pen with a specific text alignment setting is returned on calling basealign with an integer argument:

  pen nobasealign=basealign(0);
  pen basealign=basealign(1);
  

  The default setting, nobasealign,which may be changed with defaultpen(pen), causes the label alignment routines to use the full label bounding box for alignment. In contrast, basealign requests that the TeX baseline be respected. The base align setting of a pen is returned by int basealigin(pen p=currentpen).

• The font size is specified in TeX points (1 pt = 1/72.27 inches) with the function pen fontsize(real size, real lineskip=1.2*size). The default font size, 12pt, may be changed with defaultpen(pen). Nonstandard font sizes may require inserting

  import fontsize;
  

  at the beginning of the file (this requires the type1cm package available from

  http://mirror.ctan.org/macros/latex/contrib/type1cm/

  and included in recent LaTeX distributions). The font size and line skip of a pen can be examined with the routines real fontsize(pen p=currentpen) and real lineskip(pen p=currentpen), respectively.

• A pen using a specific LaTeX NFSS font is returned by calling the function pen font(string encoding, string family, string series, string shape). The default setting, font("OT1","cmr","m","n"), corresponds to 12pt Computer Modern Roman; this may be changed with defaultpen(pen). The font setting of a pen is returned by string font(pen p=currentpen). Support for standardized international characters is provided by the unicode package (see section unicode).

  Alternatively, one may select a fixed-size TeX font (on which fontsize has no effect) like "cmr12" (12pt Computer Modern Roman) or "pcrr" (Courier) using the function pen font(string name). An optional size argument can also be given to scale the font to the requested size: pen font(string name, real size).

  A nonstandard font command can be generated with pen fontcommand(string).

  A convenient interface to the following standard PostScript fonts is also provided:

  pen AvantGarde(string series="m", string shape="n");
  pen Bookman(string series="m", string shape="n");
  pen Courier(string series="m", string shape="n");
  pen Helvetica(string series="m", string shape="n");
  pen NewCenturySchoolBook(string series="m", string shape="n");
  pen Palatino(string series="m", string shape="n");
  pen TimesRoman(string series="m", string shape="n");
  pen ZapfChancery(string series="m", string shape="n");
  pen Symbol(string series="m", string shape="n");
  pen ZapfDingbats(string series="m", string shape="n");
  

• The transparency of a pen can be changed with the command:

  pen opacity(real opacity=1, string blend="Compatible");
  

  The opacity can be varied from 0 (fully transparent) to the default value of 1 (opaque), and blend specifies one of the following foreground–background blending operations:

  "Compatible","Normal","Multiply","Screen","Overlay","SoftLight",
  "HardLight","ColorDodge","ColorBurn","Darken","Lighten","Difference",
  "Exclusion","Hue","Saturation","Color","Luminosity",
  

  as described in

  http://partners.adobe.com/public/developer/en/pdf/PDFReference16.pdf. Since PostScript does not support transparency, this feature is only effective with the -f pdf output format option; other formats can be produced from the resulting PDF file with the ImageMagick convert program. Labels are always drawn with an opacity of 1. A simple example of transparent filling is provided in the example file transparency.asy.

• PostScript commands within a picture may be used to create a tiling pattern, identified by the string name, for fill and draw operations by adding it to the global PostScript frame currentpatterns, with optional left-bottom margin lb and right-top margin rt.

  import patterns;
  void add(string name, picture pic, pair lb=0, pair rt=0);
  

  To fill or draw using pattern name, use the pen pattern("name"). For example, rectangular tilings can be constructed using the routines picture tile(real Hx=5mm, real Hy=0, pen p=currentpen, filltype filltype=NoFill), picture checker(real Hx=5mm, real Hy=0, pen p=currentpen), and picture brick(real Hx=5mm, real Hy=0, pen p=currentpen) defined in patterns.asy:

  size(0,90);
  import patterns;
  
  add("tile",tile());
  add("filledtilewithmargin",tile(6mm,4mm,red,Fill),(1mm,1mm),(1mm,1mm));
  add("checker",checker());
  add("brick",brick());
  
  real s=2.5;
  filldraw(unitcircle,pattern("tile"));
  filldraw(shift(s,0)*unitcircle,pattern("filledtilewithmargin"));
  filldraw(shift(2s,0)*unitcircle,pattern("checker"));
  filldraw(shift(3s,0)*unitcircle,pattern("brick"));
  

  
  

  Hatch patterns can be generated with the routines picture hatch(real H=5mm, pair dir=NE, pen p=currentpen), picture crosshatch(real H=5mm, pen p=currentpen):

  size(0,100);
  import patterns;
  
  add("hatch",hatch());
  add("hatchback",hatch(NW));
  add("crosshatch",crosshatch(3mm));
  
  real s=1.25;
  filldraw(unitsquare,pattern("hatch"));
  filldraw(shift(s,0)*unitsquare,pattern("hatchback"));
  filldraw(shift(2s,0)*unitsquare,pattern("crosshatch"));
  

  
  

  You may need to turn off aliasing in your PostScript viewer for patterns to appear correctly. Custom patterns can easily be constructed, following the examples in patterns.asy. The tiled pattern can even incorporate shading (see gradient shading), as illustrated in this example (not included in the manual because not all printers support PostScript 3):

  size(0,100);
  import patterns;
  
  real d=4mm;
  picture tiling;
  path square=scale(d)*unitsquare;
  axialshade(tiling,square,white,(0,0),black,(d,d));
  fill(tiling,shift(d,d)*square,blue);
  add("shadedtiling",tiling);
  
  filldraw(unitcircle,pattern("shadedtiling"));
  
  

• One can specify a custom pen nib as an arbitrary polygonal path with pen makepen(path); this path represents the mark to be drawn for paths containing a single point. This pen nib path can be recovered from a pen with path nib(pen). Unlike in MetaPost, the path need not be convex:

  size(200);
  pen convex=makepen(scale(10)*polygon(8))+grey;
  draw((1,0.4),convex);
  draw((0,0)---(1,1)..(2,0)--cycle,convex);
  
  pen nonconvex=scale(10)*
    makepen((0,0)--(0.25,-1)--(0.5,0.25)--(1,0)--(0.5,1.25)--cycle)+red;
  draw((0.5,-1.5),nonconvex);
  draw((0,-1.5)..(1,-0.5)..(2,-1.5),nonconvex);
  

  
  

  The value nullpath represents a circular pen nib (the default); an elliptical pen can be achieved simply by multiplying the pen by a transform: yscale(2)*currentpen.

• One can prevent labels from overwriting one another by using the pen attribute overwrite, which takes a single argument:

  Allow

  Allow labels to overwrite one another. This is the default behaviour (unless overridden with defaultpen(pen).

  Suppress

  Suppress, with a warning, each label that would overwrite another label.

  SuppressQuiet

  Suppress, without warning, each label that would overwrite another label.

  Move

  Move a label that would overwrite another out of the way and issue a warning. As this adjustment is during the final output phase (in PostScript coordinates) it could result in a larger figure than requested.

  MoveQuiet

  Move a label that would overwrite another out of the way, without warning. As this adjustment is during the final output phase (in PostScript coordinates) it could result in a larger figure than requested.

The routine defaultpen() returns the current default pen attributes. Calling the routine resetdefaultpen() resets all pen default attributes to their initial values.

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