Asymptote: Graphing

Asymptote (Vector Graphics Language)

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Note These example are for the AoPS forums, If you want to use them on your computer, you must "import graph;".

There are two parts to a graph.

The axes' codes:

Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0)); 
yaxis(-8,8,Ticks(f, 2.0)); 

This means ticks at an interval of 2.0, between -8 and 8 for both the x and y axes.

And the graph code:

real f(real x) 
{ 
return x^3; 
} 
draw(graph(f,-2,2));

The return is the function of the graph, and the draw command draws the graph from the coordinate of to .

We can also alter the ticks code. For example, if we want intervals of 2 labeled, then 0.5 in between each one, we can use the following code:

Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0,0.5)); 
yaxis(-8,8,Ticks(f, 2.0,0.5)); 

This graph, like with any draw command, can have several attributes fixed to it, such as color:

import graph; 
size(300); 
Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0)); 
yaxis(-8,8,Ticks(f, 2.0)); 
real f(real x) 
{ 
return x^3; 
} 
draw(graph(f,-2,2),green+linewidth(1));

Remember, you can still draw normal functions, so you can create lines, circles and ellipses.