Asymptote (vector graphics language)

Syntax and notable features

Asymptote typesets labels and equations with LaTeX, producing high-quality PostScript, PDF, SVG, or 3D PRC output. It is inspired by MetaPost, but has a C-like syntax. It provides a language for typesetting mathematical figures, just as TeX/LaTeX provides a language for typesetting equations. It is mathematically oriented (e.g. rotation of vectors by complex multiplication), and uses the simplex method and deferred drawing to solve overall size constraint issues between fixed-sized objects (labels and arrowheads) and objects that should scale with figure size.

Asymptote fully generalizes MetaPost path construction algorithms to three dimensions, and compiles commands into virtual machine code for speed without sacrificing portability. High-level graphics commands are implemented in the Asymptote language itself, allowing them to be easily tailored to specific applications. It also appears to be the first software package to lift TeX into three dimensions. This allows Asymptote to be used as a 3D vector file format.

Asymptote is also notable for having a graphical interface coded in Python (and the Tk widget set), xasy.py – this allows an inexperienced user to quickly draw up objects and save them as .asy source code which can then be examined or edited by hand.

The program's syntax was originally described by using a Yacc compatible grammar.

Application examples

The following source code allows you to draw a graph of the Heaviside function by means of the Asymptote language.

import graph;
import settings;
outformat="pdf";

size(300,300);

// Function.
real[] x1 = {-1.5,0};
real[] y1 = {0,0};
real[] x2 = {0,1.5};
real[] y2 = {1,1};
draw(graph(x1,y1),red+2);
draw(graph(x2,y2),red+2);

draw((0,0)--(0,1),red+1.5+linetype("4 4"));
fill( circle((0,1),0.035), red);
filldraw( circle((0,0),0.03), white, red+1.5);

// Axes.
xaxis( Label("$x$"), Ticks(new real[]{-1,-0.5,0.5,1}), Arrow);
yaxis( Label("$y$"), Ticks(new real[]{0.5,1}), Arrow, ymin=-0.18, ymax=1.25);
// Origin.
labelx("$O$",0,SW);

The code above yields the following pdf output.

References

References

1. [http://www.math.ualberta.ca/~bowman/publications/asyTUG.pdf Asymptote: A vector graphics language, J. C. Bowman and A. Hammerlindl, TUGBOAT: The Communications of the TeX Users Group, 29:2, 288-294 (2008).]
2. [http://www.math.ualberta.ca/~bowman/publications/asy3d.pdf The 3D Asymptote Generalization of MetaPost Bézier Interpolation, J. C. Bowman, Proceedings in Applied Mathematics and Mechanics, 7:1, 2010021-2010022 (2007)].
3. [http://www.math.ualberta.ca/~bowman/publications/asyTUG3.pdf Asymptote: Lifting TeX to three dimensions, J. C. Bowman and Orest Shardt, TUGBOAT: The Communications of the TeX Users Group, 30:1, 58-63 (2009).]
4. [http://www.math.ualberta.ca/~bowman/publications/cad10.pdf Surface Parametrization of Nonsimply Connected Planar Bézier Regions, O. Shardt and J. C. Bowman, Computer-Aided Design, '''44:5''' (2012).]