Asymptote: Olympiad Package Part 1

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Sometimes, you don't want to write the coordinate (3.5,6.2) over and over and over again. Thus, the olympiad package is a lifesaver. Let's look at this simple bit of code: (Note, the import olympiad command is not needed on the forum).

import olympiad;
real r=2.5, a=3.5;
dot((r,a));

Or something like:

import olympiad;
pair A=origin, B=(3,0), C=(3,2), D=(0,2);
draw(A--B--C--D--cycle);

(Note that the origin is the point (0,0)).

Now let's go even farther:

import olympiad;
pair A=origin, B=(3,0), C=(3,2), D=(0,2);
path p=A--B--C--D--cycle;
draw(p);

At the moment, this does nothing to shorten our code. However, in this bit:

import olympiad;
pair A=origin, B=(3,0), C=(3,2), D=(0,2);
path p=A--B--C--D--cycle;
draw(p);
draw(shift(3.5,0)*p);
draw(shift(7,0)*p);

the code works nicely. Without defining the path, the code would have been much longer.