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Continued Fractions: Haskell, Equational Reasoning, Property Testing, and Rewrite Rules in Action


Introduction to continued fractions
Let’s start with a challenge. Assume I know how to write down an integer. Now, how can I write down a real number? In school, we’ve all learned a few answers to this question. The big two are
fractions and
decimals.
Fractions have simple forms for rational numbers. Just write two integers, for the numerator and denominator. That’s great! But alas, they are no good at all for irrational numbers like pi, or the square root of 2. I could, of course, write a fraction that’s close to the irrational number, such as 22/7 as an approximation of pi. But this is only good up to a certain limit precision. I could even write an infinite sequence of fractions which converge to the rational number; yet, in the end, I will have wasted a lot of effort. Indeed, ....

David Lester , Joachim Breitner , Mark Dominu , Canonical Inf , Canonicalcont Inf , Nonnegative Rational , Convergents Inf , Negative Rational , Semigroup Mobius , Monoid Mobius , Arbitrary Mobius , Todecimal Inf , Rosetta Code , Nonnegative Inf , Integer Valarg , Type Integerrule , Template Haskell , டேவிட் லெஸ்டர் , ரொசெட்டா குறியீடு , வார்ப்புரு ஹ்யாஸ்கல் ,

Performance comparison: counting words in Python, Go, C++, C, AWK, Forth, and Rust


Performance comparison: counting words in Python, Go, C++, C, AWK, Forth, and Rust
March 2021
Summary: I describe a simple interview problem (counting frequencies of unique words), solve it in various languages, and compare performance across them. For each language, I’ve included a simple, idiomatic solution as well as a more optimized approach via profiling.
I’ve conducted many coding interviews over the past few years, and one of the questions I like to ask is this:
Write a program to count the frequencies of unique words from standard input, then print them out with their frequencies, ordered most frequent first. For example, given this input: ....

Anton Ertl , Jon Bentley , Andrew Gallant , Mike Haertel , Donald Knuth , Raymond Hettinger , Doug Mcilroy , Code Review Stack Exchange , King James Bible , Gophers Slack , Rosetta Code , அன்டன் ஏற்த்தல் , ஜான் பென்ட்லி , ஆண்ட்ரூ மகத்தான , மைக் ஹெர்டெல் , டொனால்ட் ந்யூத் , ரேமஂட் ஹெட்டிங்கர் , டக் அம்கில்‌ராய் , குறியீடு விமர்சனம் அடுக்கு பரிமாற்றம் , கிங் ஜேம்ஸ் திருவிவிலியம் , கோஃபர்ஸ் மந்தமான , ரொசெட்டா குறியீடு ,