Asymptote: Logical Operators and Loops

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Asymptote (Vector Graphics Language)
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Asymptote uses loops and logical operators that are almost identical to those in C++. Loops are absolutely essential if you want to make diagrams that look like this:


This particular example was produced with the following code:

import graph;
real r=5; 
picture smiley;
for (int i=0; i<5; ++i)
 for (int j=0; j<5; ++j)
  if (floor((i-j)/2)==((i-j)/2))

Above, we created a picture called smiley and added it to currentpicture many times using a for loop, as the indices $i$ and $j$ each ranged from $0$ to $4$. Basically, the arguments in the parentheses for the first for loop first declare $i$ to be an integer and assign to i the value $0$. Then, if $i<5$, it executes what is inside the {} brackets and when it is finished, it adds $1$ to $i$ (++i). This process repeats until the boolean statement $i<5$ has the value false, i.e. 5 times (hence the 5 columns of smileys). The if statement is self-explanatory; if $\lfloor(i-j)/2\rfloor=(i-j)/2$ (which checks if $i$ and $j$ have the same parity or not), then the smiley is added, and if not it skips the brackets that follow.

For more information on logical operators and loops, see [here].