Seeing imaginary numbers as rotations was one of my favorite aha moments: i, the square root of -1, is a number in a different dimension! Once that clicks, we can use multiplication to "combine" rotations of two complex numbers: Yowza, did that ever blow my mind: add angles without sine or cosine!…

Imaginary numbers have an intuitive explanation: they “rotate” numbers, just like negatives make a “mirror image” of a number. This insight makes arithmetic with complex numbers easier to understand, and is a great way to double-check your results. Here’s our cheatsheet: This post will walk through…

Popcount is the function that returns the number of set bits in its argument. Showing that a popcount implementation does what it claims to do has become one of my favorite examples to use when I need to quickly show students how we can reason about programs mathematically. Something like a…

Published April 26, 2019 - 0 Comments Today’s post is written by Louis-Charles Caron. Louis-Charles is a software engineer at Advanced Silicon, working on image processing for low latency human-machine interaction. Fan of coding, Louis-Charles enjoys programming in Python and C++ and likes to design…

For a recent project I've been working on, I wanted to include a graph showing the relationships between different artists on Spotify. Spotify provides the data directly from their API, and I had everything set up to pull it for a user's top artists and into the browser. This is the story of how I…

Suppose we’ve had a recent error with a Kubernetes cluster. As often happens with a problem in our systems, we noticed it first in terms of the visible error, which we could state as “Builds did not complete.” Now we want to trace backwards to figure out what happened. A common technique is the…

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Our Software Dependency Problem Posted on Wednesday, January 23, 2019. PDF For decades, discussion of software reuse was far more common than actual software reuse. Today, the situation is reversed: developers reuse software written by others every day, in the form of software dependencies, and the…

The iterator pattern allows you to perform some task on a sequence of items in turn. An iterator is responsible for the logic of iterating over each item and determining when the sequence has finished. When you use iterators, you don’t have to reimplement that logic yourself. In Rust, iterators are…

Models of Generics and Metaprogramming: Go, Rust, Swift, D and More In some domains of programming it’s common to want to write a data structure or algorithm that can work with elements of many different types, such as a generic list or a sorting algorithm that only needs a comparison function.…