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Data-directed programming in Haskell (SICP 2.4.3)

The author explores data-directed programming in Haskell, as introduced in SICP section 2.4.3, focusing on complex numbers that can be represented in both rectangular and polar forms with operations to query real, imaginary, magnitude, and angle values.

Background

SICP (Structure and Interpretation of Computer Programs, often called "The Wizard Book") is a legendary computer science textbook from MIT that uses Scheme (a Lisp dialect) to teach fundamental programming concepts. This article translates one of its ideas — data-directed programming — into Haskell, a modern functional programming language.

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