Coding/Learn/haskell/haskell typeclasses basics
Learn Haskell & Pure Functional Programming
01.Introduction to Haskell & GHC
02.Syntax, Comments & Program Layout
03.Basic Types & Immutability
04.Arithmetic, Precedence & Infix Functions
05.Strings, Lists & the Cons Operator (:)
06.Booleans, Equality & Logical Operators
07.Conditional Expressions (if then else)
08.Function Guards (| condition = result)
09.Pattern Matching on Functions
10.Case Expressions (case of)
11.Local Bindings with let ... in
12.Auxiliary Bindings with where Clauses
13.Function Signatures & Referential Transparency
14.Currying & Partial Function Application
15.Anonymous Lambda Expressions (\x -> expr)
16.Higher-Order Functions: map, filter, foldl & foldr
17.Function Composition (.) & Application ($)
18.Recursion Patterns & Tail Recursion
19.Tuples & Pair Operations (fst, snd)
20.List Functions: head, tail, take, drop & null
21.Arithmetic Sequences & List Ranges
22.List Comprehensions
23.Zipping & Combining Lists (zip, zipWith)
24.Lazy Evaluation & Infinite Streams
25.Type Inference & Type Variables
26.Standard Typeclasses: Eq, Ord, Show & Num
27.Defining Custom Typeclasses & Instances
28.Type Synonyms (type) & newtype Wrappers
29.Algebraic Data Types (data ADT)
30.Record Syntax & Named Fields
31.The Maybe Type & Null Safety
32.The Either Type for Detailed Errors
33.Pattern Matching on Maybe & Either
34.Domain Errors & Validation Pipelines
35.Recursive Data Structures: Binary Trees
36.Strictness, seq & Bang Patterns (!)
37.The Functor Typeclass & fmap (<$>)
38.Applicative Functors: pure & (<*>)
39.The Monad Typeclass & Bind Operator (>>=)
40.Do Notation & Monadic Desugaring
41.The Three Monad Laws
42.Monadic Utilities: sequence, mapM, forM & when
43.The IO Monad & Pure/Impure Separation
44.File I/O: Reading & Writing Files
45.Modules, Exports & Qualified Imports
46.Monad Transformers: Reader, Writer & State
47.Concurrency, forkIO & MVars
48.Property-Based Testing with QuickCheck
49.Unit Testing & Test Suites (HUnit / Hspec)
50.Monadic Parsing & Parser Combinators
51.Production Architecture: Cabal & Stack
52.Comprehensive Functional Practice Challenges
53.Final Knowledge Assessment Quiz
54.Capstone Project: Domain Expression Evaluator & AST Engine
55.Verified Haskell Developer Certificate
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LearnStandard Typeclasses: Eq, Ord, Show & Num
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Lesson 26 of 55
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Standard Typeclasses: Eq, Ord, Show & Num

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In Plain English

A typeclass defines an interface of functions that can be implemented for various types. Learn the core typeclasses: Eq (equality), Ord (ordering), Show (string conversion), and Num (numbers).

Deep Dive: How It Works

Typeclass Constraints: (Eq a) => a -> a -> Bool states that type a must be an instance of the Eq typeclass.

Show & Read: Show converts values to String (show x); Read parses String into values (read "42" :: Int).

Num Typeclass: Unifies Int, Integer, Float, and Double for common operators (+, -, *).

PointCore Rules to Remember

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Class Constraints (=>): Constrain type variables to specific capabilities (e.g. (Ord a) => [a] -> [a]).
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Not Object-Oriented Classes: Typeclasses are akin to interfaces/traits, defining behavior contracts for types.

Live Interactive Example

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Typeclass Constraints and Comparisons
Python 3.12
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Output Console
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How it works: maxOfThree works on any type satisfying the Ord typeclass contract.

Your Turn: Micro Challenge

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Micro Exercise

Check Equality with Eq Constraint

  • PointDefine `bothEqual :: (Eq a) => a -> a -> a -> Bool` checking `a == b && b == c`.
  • PointPrint `"Result: "` followed by `show (bothEqual 5 5 5)`.
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Sandbox Output
Click "Run & Check" to test your solution.

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