Functional Programming Past Present Future
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The document discusses the evolution of functional programming, tracing its roots from lambda calculus and its foundational theories to contemporary languages such as Haskell, Scala, and Java, highlighting key concepts like higher-order functions, currying, and lazy evaluation. It emphasizes the importance of functional programming paradigms in fostering code reusability, readability, and correctness while addressing challenges related to performance and design patterns. The paper suggests that functional programming represents a significant paradigm shift that changes how programmers think about software development.
![Erlang – Higher-order functions
%base salaries
S = [10000, 30000, 40000, 15000].
%The Bonus calculator
Bonus = fun(X)-> X + X*0.2 + 1500 end.
%Total salaries
T = lists:map(Bonus, S)
>> [13500, 37500, 49500, 19500]](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-16-320.jpg)
![Erlang – Higher-order functions
%find total salaries exceeding 30000
MoreThan30K = fun(Y) -> Y > 30000 end.
lists:filter(MoreThan30K,T).
>> [37500, 49500]
You just learnt “map” and “filter”. Let them sink in!](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-17-320.jpg)
![Haskell – Pattern Matching
-- construct a List from an list
makeList (x:xs) = Cons x (makeList xs)
makeList [] = Nil
-- construct an list from a List
makeArr (Cons x (xs)) = x:(makeArr xs)
makeArr Nil = []](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-20-320.jpg)
![Currying in OCaml
Function to add 2 to all numbers of a list
let add2 x = x + 2
List.map add2 [1;2;3;4;5];;
Function to add 3 to all numbers of a list
let add3 x = x + 3
List.map add3 [1;2;3;4;5];;](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-28-320.jpg)
![Currying in OCaml
With currying:
let add x y = x + y
List.map (add 2) [1;2;3;4;5]
List.map (add 3) [1;2;3;4;5]
•Better reuse of code
•Improved readability](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-29-320.jpg)
![Scala
Simple functional code to find the length of a list:
(no loops in functional programming!)
def listLength (list: List[_]): Int =
list match {
case Nil => 0
case _ => 1 + listLength(list.tail)
}
Any problems here?](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-33-320.jpg)
![Scala - TCO
No! You have tail recursion and tail-recursion
optimization (TCO)
def length(as: List[_]): Int = {
@tailrec
def length0(as: List[_], count: Int = 0): Int =
as match {
case Nil => count
case head :: tail => length0(tail, count+ 1)
}
length0(as)
}](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-35-320.jpg)
![Clojure
(defn fib[n]
(condp = n
0 1
1 1
(+ (fib (- n 1)) (fib (- n 2)))))
user=> (time (fib 40))
"Elapsed time: 2946.136757 msecs"
165580141
user=> (time (fib 40))
"Elapsed time: 2882.10746 msecs"
165580141](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-38-320.jpg)
![Clojure - Memoization
(def m-fib
(memoize (fn [n]
(condp = n
0 1
1 1
(+ (m-fib (- n 1)) (m-fib (- n 2)))))))](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-40-320.jpg)
![Idris – dependent types
ListType : (singleton : Bool) -> Type
ListType False = List Nat
ListType True = Nat
sumList : (singleton : Bool)->ListType singleton->Nat
sumList False (x :: xs) = x + sumList False xs
sumList False [] = 0
sumList True x = x](https://image.slidesharecdn.com/functionalprogrammingindicthreads-160605130033/85/Functional-Programming-Past-Present-Future-50-320.jpg)
Functional Programming Past Present Future
- 1. Functional Programming Past, Present and Future Pushkar N Kulkarni IBM Runtimes IBM India Software Lab
- 2. Functional Programming - today’s special … • Timeline – parallel to the imperative timeline • Languages • Concepts Goal: Bootstrapping for functional programming
- 3. The beginning of all creation …
- 4. Theory of Computation <- Math + Logic Alonzo Church Lambda Calculus Alan Turing Turing Machine Stephen Kleene Recursive Function Theory
- 5. Lambda Calculus It’s a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution. ~ Wikipedia
- 6. Lambda Calculus – Fundamental Idea x //variable t //lambda term Λx.t //lambda abstraction Λx. x2 +1 // x is bound in t by Λx Λx. x2 +1(2) = 22 +1 = 5 //application Note: A lambda abstraction has no name
- 7. LISP - 1958 LIST Processor Influenced by Church’s lambda calculus notation Multi-paradigm, pre-fix notation John McCarthy
- 8. LISP ;;Employee compensation (defun total (bonus-calc base) (+ (funcall bonus-calc base) base)) ;; Good month (total #'(lambda (x)(* 0.8 x)) 10000) ;; Bad month (total #'(lambda (x)(+ (* 0.2 x) 10)) 10000)
- 9. LISP – Well known dialects • Scheme – 1970 • Common Lisp – 1984 • Racket – 1984 • Clojure – 2007 • Lisp Flavoured Erlang (LFE) – 2008 (v1 March 2016)
- 11. Academic Research (1960 – 1985) • ISWIM – If You See What I Mean – 1966 • SASL – St. Andrews Static Language – 1972 • ML – MetaLanguage – 1973 => Ocaml, F# • Miranda – 1985 => Haskell
- 12. Back to some Lambda Calculus F(x) = x3 +4x //F(x) id a first-order function //maps values to values dF(x)/dx = 3x2 + 4 //d/dx maps functions to functions d/dx is an example of higher-order functions
- 13. Higher-order Functions A function is a higher-order function if: • It takes at least one function as an argument OR • It returns a function All other functions are first–order functions!
- 14. Erlang - 1984 Designed for massive scalable soft real time systems Fault-tolerance and concurrency
- 15. Erlang Multi-paradigm, but has a functional core •First-class functions Functions can be passed to functions First-class citizens => Higher-order functions •Immutable values Immutable “variables” – creating new values instead Minimizing moving parts has benefits
- 16. Erlang – Higher-order functions %base salaries S = [10000, 30000, 40000, 15000]. %The Bonus calculator Bonus = fun(X)-> X + X*0.2 + 1500 end. %Total salaries T = lists:map(Bonus, S) >> [13500, 37500, 49500, 19500]
- 17. Erlang – Higher-order functions %find total salaries exceeding 30000 MoreThan30K = fun(Y) -> Y > 30000 end. lists:filter(MoreThan30K,T). >> [37500, 49500] You just learnt “map” and “filter”. Let them sink in!
- 18. Haskell - 1990 • Full blown functional language • Algebraic data types and type classes • No statements – the entire program is an ”expression” • Pattern matching • Lazy evaluation • Purely functional – functions have no side effect
- 19. Haskell – Algebraic Data Types (ADT) • Derived from Type Theory • A composite type - formed by combining other types data List a = Nil | Cons a (List a) data Tree a = Node a (Tree a) (Tree a) | Nil
- 20. Haskell – Pattern Matching -- construct a List from an list makeList (x:xs) = Cons x (makeList xs) makeList [] = Nil -- construct an list from a List makeArr (Cons x (xs)) = x:(makeArr xs) makeArr Nil = []
- 21. Quiz Why was the language named Haskell?
- 22. Haskell Curry (1900 – 1982)
- 23. Currying Introduced by Shönfinkel Lambda calculus deals with single argument functions What about multiple argument functions then? If F(X, Y, Z) -> N, then curry(F): X -> (Y -> (Z -> N))
- 24. Lambda Calculus - Currying F(X, Y, Z) = X + Y + Z F(1, 2, 3) = Fcurried(1)(2)(3) //apply only one argument at a time Fcurried (1) = F’curried F’curried(2) = F”curried F”curried(3) = 6
- 25. OCaml - 1996 • Multi-paradigm • Derived from ML • Static type system helps eliminate runtime problems • Emphasis on performance – good optimizing compiler
- 26. Currying in OCaml # let plus x y z = x + y + z;; # plus 1 2 3;; - : int = 6 # let x = plus 1;; val x : int -> int -> int = <fun>
- 27. Currying in OCaml # let y = x 2;; val y : int -> int = <fun> # y 3;; - : int = 6 Cool, but what’s the use of all this?
- 28. Currying in OCaml Function to add 2 to all numbers of a list let add2 x = x + 2 List.map add2 [1;2;3;4;5];; Function to add 3 to all numbers of a list let add3 x = x + 3 List.map add3 [1;2;3;4;5];;
- 29. Currying in OCaml With currying: let add x y = x + y List.map (add 2) [1;2;3;4;5] List.map (add 3) [1;2;3;4;5] •Better reuse of code •Improved readability
- 30. Quiz What significant event occurred around 1995 in the Programming Languages space?
- 31. Functional Programming on the JVM (2004 – date) • Groovy - 2003 • Scala - 2004 • Clojure - 2007 • Java 8 - 2014
- 32. Scala • Seamless integration with Java • Combines object oriented programming and functional programming • Type inference • Higher order functions • Pattern matchingMartin Odersky
- 33. Scala Simple functional code to find the length of a list: (no loops in functional programming!) def listLength (list: List[_]): Int = list match { case Nil => 0 case _ => 1 + listLength(list.tail) } Any problems here?
- 34. Scala listLength(List.Range(0, 100000)) >> StackOverflow Are loops better than recursive calls then? Has functional programming hit a barrier here?
- 35. Scala - TCO No! You have tail recursion and tail-recursion optimization (TCO) def length(as: List[_]): Int = { @tailrec def length0(as: List[_], count: Int = 0): Int = as match { case Nil => count case head :: tail => length0(tail, count+ 1) } length0(as) }
- 36. Scala - TCO Simplistic essence of tail-call optimization Execution state Single, reusable stack frame
- 37. Clojure - 2007 Our fascination with LISP is never ending! Rich Hickey • LISP for the JVM • Java-Clojure interoperability • Other implementations – ClojureScript, ClojureCLR • Used in creative computing!
- 38. Clojure (defn fib[n] (condp = n 0 1 1 1 (+ (fib (- n 1)) (fib (- n 2))))) user=> (time (fib 40)) "Elapsed time: 2946.136757 msecs" 165580141 user=> (time (fib 40)) "Elapsed time: 2882.10746 msecs" 165580141
- 39. Clojure Pure functions •Referential Transparency •No side effects – stateless programs •Given an argument, the function must return the same value! (fib 4) is always 3, for example. => Values (fib K) can be reused for all K Speed up? Caching?
- 40. Clojure - Memoization (def m-fib (memoize (fn [n] (condp = n 0 1 1 1 (+ (m-fib (- n 1)) (m-fib (- n 2)))))))
- 41. Clojure - Memoization user=> (time (m-fib 40)) "Elapsed time: 0.823773 msecs" 165580141 user=> (time (m-fib 40)) "Elapsed time: 0.082013 msecs" 165580141
- 42. Java 8 - 2014 The exciting times begin! •Lambdas •Stream Interface – lazy evaluation! •Functional Interfaces •Default methods – for backward compatibility A mammoth like Java embracing the functional paradigm is a big cue about the times to come.
- 43. Lazy Evaluation Laziness is not always bad
- 44. Lazy Evaluation • Evaluate an expression only when it’s use is encountered • Values are created only when needed • Reduction in memory footprint • Fast • In combination with memoization, results in very efficient functional code
- 45. Problem Find the number of first deliveries of overs, when a batsman who scored at least five centuries and hit at least 100 sixes, was out.
- 46. Java 8 – Lazy Evaluation allDeliveries.stream() .filter(d -> d.deliveryNumber() == 1) .filter(d -> d.wicket()) .map(d -> d.getBatsman()) .filter(b -> b.totalCenturies() >= 5) .filter(b -> b.totalSixes >= 100) .count() //terminal operation •Lambdas •Immutability •Lazy evaluation, terminal operation •Map/filter
- 47. Java 8 - Parallelism Parallel execution. Almost zero change to your code. allDeliveries.parallelStream() .filter(d -> d.deliveryNumber() == 1) .filter(d -> d.wicket()) .map(d -> d.getBatsman()) .filter(b -> b.totalCenturies() >= 5) .filter(b -> b.totalSixes >= 100) .count() //terminal operation
- 48. Java 8 • No intentions of becoming a full blown functional language • Lambdas and lazy evaluation provide a big boost • Readability improved – anonymous classes not needed • Reusability improved – lambdas, functional interfaces • Java 9 – better Stream interface expected
- 49. Idris – A peek into the future • Data types are first class objects! • You can generate data types, store them, pass them around • Dependent types were developed by Haskell Curry to deepen the connection between programming and logic (Curry-Howard correspondence) • Dependent types – types that depend on values! • Influenced by Agda
- 50. Idris – dependent types ListType : (singleton : Bool) -> Type ListType False = List Nat ListType True = Nat sumList : (singleton : Bool)->ListType singleton->Nat sumList False (x :: xs) = x + sumList False xs sumList False [] = 0 sumList True x = x
- 51. Why Functional Programming • Higher levels of behavioural abstraction – tell what is to be done, not how to do it • Agile Methodologies - Code reuse, readability • Correctness • Exploiting massively parallel hardware
- 52. Challenges • Paradigm shift in thinking needed • Newer design patterns – no imperative design patterns • Performance evaluation difficult – recursive data structures, recursive functions • Runtime performance – garbage collection critical
- 53. Recap • Lambda Calculus • Lambdas • First-class functions, higher order functions • Algebraic data types • Pattern matching • Currying
- 54. Recap • Tail-call recursion and TCO • Pure functions, referential transparency • Memoization • Lazy evaluation • Parallelism • Dependent data types
- 55. A programming language that does not change the way you think is not worth knowing ~ Alan Perlis Functional programming changes the way you think. It’s worth knowing!
- 56. (Thank you!) (twitter @pushkar_nk) (github pushkarnk)