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@graninas
graninas / haskeller_competency_matrix.md
Last active October 5, 2024 13:40
Haskeller competency matrix

Magic

It’s folklore that if you’re summing a list of numbers, then you should always use strict foldl. Is that really true though? foldr is useful for lists when the function we use is lazy in its second argument. For (+) :: Int -> Int -> Int this is tyically not the case, but in some sense that’s because Int is “too strict”. An alternative representation of numbers is to represent them inductively. If we do this, sumation can be lazy, and foldr can do things that foldl simply can’t!

First, let’s define natural numbers inductively, and say how to add them:

data Nat = Zero | OnePlus Nat deriving Show

one :: Nat
@gcanti
gcanti / GADT.ts
Last active September 23, 2022 10:55
Approximating GADTs in TypeScript
// Adapted from http://code.slipthrough.net/2016/08/10/approximating-gadts-in-purescript/
import { Kind, URIS } from 'fp-ts/lib/HKT'
import { URI } from 'fp-ts/lib/Identity'
import { identity } from 'fp-ts/lib/function'
// ------------------------------------------
// Leibniz
// ------------------------------------------

Monads and delimited control are very closely related, so it isn’t too hard to understand them in terms of one another. From a monadic point of view, the big idea is that if you have the computation m >>= f, then f is m’s continuation. It’s the function that is called with m’s result to continue execution after m returns.

If you have a long chain of binds, the continuation is just the composition of all of them. So, for example, if you have

m >>= f >>= g >>= h

then the continuation of m is f >=> g >=> h. Likewise, the continuation of m >>= f is g >=> h.

@maksbotan
maksbotan / generic-validation.md
Last active July 5, 2020 20:34
Generic validation of nested data

Generic validation of nested data

TLDR

This technique helps validate arbitrary conditions in deeply nested structures without writing additional code — with the help of Haskell Generics.

It boils down to this pattern:

@aroslov
aroslov / LazyParameter.ts
Last active June 3, 2019 10:46
Lazy Parameter from AWS SSM
import { getParameterFromSsm } from 'aws-ssm.sdk'
function getParameterValue(name: string, defaultValue: string) {
return process.env[name] || getParameterFromSsm(name, defaultValue);
}
export class LazyParameter extends LazyValue<string> {
constructor(name: string, defaultValue?: string) {
super(async () => {
return getParameterValue(name, defaultValue);
@ismyrnow
ismyrnow / mac-clear-icon-cache.sh
Created May 5, 2017 19:28
Clear the icon cache on a Mac when you start seeing generic icons in Finder or the Dock
sudo rm -rfv /Library/Caches/com.apple.iconservices.store; sudo find /private/var/folders/ \( -name com.apple.dock.iconcache -or -name com.apple.iconservices \) -exec rm -rfv {} \; ; sleep 3;sudo touch /Applications/* ; killall Dock; killall Finder
@hediet
hediet / main.md
Last active November 13, 2024 17:23
Proof that TypeScript's Type System is Turing Complete
type StringBool = "true"|"false";


interface AnyNumber { prev?: any, isZero: StringBool };
interface PositiveNumber { prev: any, isZero: "false" };

type IsZero<TNumber extends AnyNumber> = TNumber["isZero"];
type Next<TNumber extends AnyNumber> = { prev: TNumber, isZero: "false" };
type Prev<TNumber extends PositiveNumber> = TNumber["prev"];

Applied Functional Programming with Scala - Notes

Copyright © 2016-2018 Fantasyland Institute of Learning. All rights reserved.

1. Mastering Functions

A function is a mapping from one set, called a domain, to another set, called the codomain. A function associates every element in the domain with exactly one element in the codomain. In Scala, both domain and codomain are types.

val square : Int => Int = x => x * x