Composing functions that yield in ruby - ruby

New to ruby language. I'm aware that ruby has then keyword to compose blocks and << for proc objects to compose proc. However, the question I have focuses on named functions that yield value to each other. I'm wondering what is the best way to implement such pipeline paradigm in ruby.
Consider the following code I came up with. I don't know if this is idiomatic.
# #param [Proc] lproc
# #param [Proc] rproc
def then_proc(lproc, rproc)
proc { |x| lproc.call(x, &rproc) }
end
def n(x)
yield x
end
def branch(x)
yield x + 1 if x > 2
0
end
def add_one(x)
x + 1
end
then_proc(method(:n).to_proc,
then_proc(method(:branch).to_proc, method(:add_one).to_proc)).call 2
=> 0
then_proc(method(:n).to_proc,
then_proc(method(:branch).to_proc, method(:add_one).to_proc)).call 3
=> 4
To me this is more similar to the forms of pipelines seen in other programming languages (Promise in javascript, for example), because functions can have branches to not yield and terminate early, whereas then requires the pipeline to be completely executed. I'm wondering if there is some mechanism in ruby that can achieve this. If not, how would go about this problem?
Thank you.
Clarification on the question
I would like to build a pipeline using a series of named functions that might but not necessarily yield to a block. Per my understanding, in the existing ruby then/yield_self function, the block is always invoked, which is not the intention. Notice in the toy example I gave, the final add_one block is only executed if previous branch function receives x > 2.

I would like to build a pipeline using a series of named functions that might but not necessarily yield to a block.
A method does not need to yield.
The following implements a conditional using procs:
def _if(v, cond, yes, no = nil)
if cond.call(v)
yes.call(v)
else
no&.call(v)
end
end
cond = lambda { |v| v > 2 }
yes = lambda { |v| v + 1 }
no = lambda { |v| 0 }
_if(1, cond, yes, no)
_if(3, cond, yes, no)
_if(1, cond, yes)

Related

Ruby and Lambda calculus

I'm trying to understand lambda calculus with procs and ruby. Here is some code:
puts -> x { -> y {x.call(y) } }
# => #<Proc:0x2a3beb0#C:/first-ruby.rb:1 (lambda)>
puts -> x { x + 2}.call(1)
# => 3
What does -> signify in above example? Is the call method passing the value to the caller, so in the first example, value y is passed to y and in the second example, 1 is passed to x? In the second example, why is 1 evaluated to x?
This is a shortcut for the pure lambda expression:
lmbd = -> arg{ something to do with arg } # With ->{} notation
lmbd = lambda { |arg| something to do with arg } # Standard notation
In your first example you invoke puts method with Proc(lambda) object, and that's why you see #<Proc:0x2a3beb0#C:/first-ruby.rb:1 (lambda)> in the output.
In the second example you invoke puts with lmbd.call(1) method, i.e. puts outputs the result of lambda calculation.
So, if you have lmbd variable which is lambda object, you can pass it like any argument and then get it's result by invoke lmbd.call():
lmbd = -> greeting{ puts "#{greeting}, lambda-expression!" }
def say_hello l, text
l.call(text)
end
say_hello lmbd, "Aloha" # => Aloha, lambda-expression!
What does -> signify in above example?
-> is part of the literal syntax for lambdas, just like, say, ' is part of the literal syntax for strings.
Is the .call method just passing the value from to caller,
The call method is the method, which, well, calls (or executes) the lambda. The arguments to the call method are bound to the parameters of the lambda.
so in first example value y is passed to y and in second example 1 is passed to x.
No, in the first example, y is passed to the outer lambda and bound to its x parameter. In the second example, 1 is passed to the lambda and bound to its x parameter.
In second example why how is 1 evaluated to x?
1 does not evalute to x. 1 is an immediate value, and in Ruby, immediate values always evaluate to themselves. 1 will always evaluate to 1, never to x or anything else.
Let's define a function using Ruby lambda.
def plus_two # no args here
->(x) {x + 2} # args go here
end
# assign a value
x = 1
# call it
plus_two.call(x)
# => 3
Your first example is a bit more complex but using this idea you should be able to come up with functional methods.
I'm studying Scala and functional programming is based upon these substitution principles.
Try doing some recursion using these.
It's like calling functions of functions n times.
What would be the base case then?
As for the Lambda Calculus https://github.com/mackorone/lambda/blob/master/intro.pdf
Try to keep things simple and show the steps rather than trying to figure out what a one liner is doing. Yes they are nice but if you can't read it you can't understand it.
Here's something I was just recently working on:
require 'date'
num = DateTime.now.to_time.utc.to_datetime.ajd - 2451545.0
#t = num / 36525.0
# the terms in reverse order form for the array
#l0_a = [1.0/-19880000.0,
1.0/-152990.0,
1.0/499310.0,
0.0003032028,
36000.76982779,
280.4664567]
# make an enumerator
#l0_e = #l0_a.each
# make a lambda to pass the enumerator to.
def my_lambda
->(x) {x.reduce {|acc, el| acc * #t + el} % 360}
end
puts my_lambda.call(#l0_e)
This is mean longitude of the sun formula using enumerator methods and of course a lambda.

What is recursion and how does it work?

Could someone please explain what exactly recursion is (and how it works in Ruby, if that's not too much to ask for). I came across a lengthy code snippet relying on recursion and it confused me (I lost it now, and it's not entirely relevant).
A recursive function/method calls itself. For a recursive algorithm to terminate you need a base case (e.g. a condition where the function does not call itself recursively) and you also need to make sure that you get closer to that base case in each recursive call. Let's look at a very simple example:
def countdown(n)
return if n.zero? # base case
puts n
countdown(n-1) # getting closer to base case
end
countdown(5)
5
4
3
2
1
Some problems can be very elegantly expressed with recursion, e.g a lot of mathematical functions are described in a recursive way.
To understand recursion, you first need to understand recursion.
Now, on a serious note, a recursive function is one that calls itself. One classic example of this construct is the fibonacci sequence:
def fib(n)
return n if (0..1).include? n
fib(n-1) + fib(n-2) if n > 1
end
Using recursive functions gives you great power, but also comes with a lot of responsability (pun intended) and it presents some risk. For instance, you could end up with stack overflows (I'm on a roll) if your recursiveness is too big :-)
Ruby on Rails example:
Recursion will generate array of parents parents
a/m/document.rb
class Document < ActiveRecord::Base
belongs_to :parent, class_name: 'Document'
def self.get_ancestors(who)
#tree ||= []
# #tree is instance variable of Document class object not document instance object
# so: Document.get_instance_variable('#tree')
if who.parent.nil?
return #tree
else
#tree << who.parent
get_ancestors(who.parent)
end
end
def ancestors
#ancestors ||= Document.get_ancestors(self)
end
end
console:
d = Document.last
d.ancestors.collect(&:id)
# => [570, 569, 568]
https://gist.github.com/equivalent/5063770
Typically recursion is about method calling themselves, but maybe what you encountered were recursive structures, i.e. objects referring to themselves. Ruby 1.9 handles these really well:
h = {foo: 42, bar: 666}
parent = {child: {foo: 42, bar: 666}}
h[:parent] = parent
h.inspect # => {:foo=>42, :bar=>666, :parent=>{:child=>{...}}}
x = []
y = [x]
x << y
x.inspect # => [[[...]]]
x == [x] # => true
I find that last line is quite wicked; I blogged about this kind of issues with comparison of recursive structures a couple of years ago.
I just wanted to add to the answers in here that every recursion algorithm is composed of two things:
base case
recursive case
Base case is what tells your algorithm to break out so it does not continue to infinity or your memory runs out.
Recursive case is the part that ensures to call itself but shaving or shrinking the arguments you are calling it with.

Where and when to use Lambda?

I am trying to understand why do we really need lambda or proc in ruby (or any other language for that matter)?
#method
def add a,b
c = a+b
end
#using proc
def add_proc a,b
f = Proc.new {|x,y| x + y }
f.call a,b
end
#using lambda function
def add_lambda a,b
f = lambda {|x,y| x + y}
f.call a,b
end
puts add 1,1
puts add_proc 1,2
puts add_lambda 1,3
I can do a simple addition using: 1. normal function def, 2. using proc and 3. using lambda.
But why and where use lambda in the real world? Any examples where functions cannot be used and lambda should be used.
It's true, you don't need anonymous functions (or lambdas, or whatever you want to call them). But there are a lot of things you don't need. You don't need classes—just pass all the instance variables around to ordinary functions. Then
class Foo
attr_accessor :bar, :baz
def frob(x)
bar = baz*x
end
end
would become
def new_Foo(bar,baz)
[bar,baz]
end
def bar(foo)
foo[0]
end
# Other attribute accessors stripped for brevity's sake
def frob(foo,x)
foo[0] = foo[1]*x
end
Similarly, you don't need any loops except for loop...end with if and break. I could go on and on.1 But you want to program with classes in Ruby. You want to be able to use while loops, or maybe even array.each { |x| ... }, and you want to be able to use unless instead of if not.
Just like these features, anonymous functions are there to help you express things elegantly, concisely, and sensibly. Being able to write some_function(lambda { |x,y| x + f(y) }) is much nicer than having to write
def temp(x,y)
x + f(y)
end
some_function temp
It's much bulkier to have to break off the flow of code to write out a deffed function, which then has to be given a useless name, when it's just as clear to write the operation in-line. It's true that there's nowhere you must use a lambda, but there are lots of places I'd much rather use a lambda.
Ruby solves a lot of the lambda-using cases with blocks: all the functions like each, map, and open which can take a block as an argument are basically taking a special-cased anonymous function. array.map { |x| f(x) + g(x) } is the same as array.map(&lambda { |x| f(x) + g(x) }) (where the & just makes the lambda "special" in the same way that the bare block is). Again, you could write out a separate deffed function every time—but why would you want to?
Languages other than Ruby which support that style of programming don't have blocks, but often support a lighter-weight lambda syntax, such as Haskell's \x -> f x + g x, or C#'s x => f(x) + g(x);2. Any time I have a function which needs to take some abstract behavior, such as map, or each, or on_clicked, I'm going to be thankful for the ability to pass in a lambda instead of a named function, because it's just that much easier. Eventually, you stop thinking of them as somehow special—they're about as exciting as literal syntax for arrays instead of empty().append(1).append(2).append(3). Just another useful part of the language.
1: In the degenerate case, you really only need eight instructions: +-<>[].,. <> move an imaginary "pointer" along an array; +- increment and decrement the integer in the current cell; [] perform a loop-while-non-zero; and ., do input and output. In fact, you really only need just one instruction, such as subleq a b c (subtract a from b and jump to c if the result is less than or equal to zero).
2: I've never actually used C#, so if that syntax is wrong, feel free to correct it.
Blocks are more-or-less the same thing
Well, in Ruby, one doesn't usually use lambda or proc, because blocks are about the same thing and much more convenient.
The uses are infinite, but we can list some typical cases. One normally thinks of functions as lower-level blocks performing a piece of the processing, perhaps written generally and made into a library.
But quite often one wants to automate the wrapper and provide a custom library. Imagine a function that makes an HTTP or HTTPS connection, or a straight TCP one, feeds the I/O to its client, and then closes the connection. Or perhaps just does the same thing with a plain old file.
So in Ruby we would put the function in a library and have it take a block for the user .. the client .. the "caller" to write his application logic.
In another language this would have to be done with a class that implements an interface, or a function pointer. Ruby has blocks, but they are all examples of a lambda-style design pattern.
1) It is just a convenience. You don't need to name certain blocks
special_sort(array, :compare_proc => lambda { |left, right| left.special_param <=> right.special_param }
(imagine if you had to name all these blocks)
2) #lambda is usually used to create clojures:
def generate_multiple_proc(cofactor)
lambda { |element| element * cofactor }
end
[1, 2, 3, 4].map(&generate_multiple_proc(2)) # => [2, 3, 5, 8]
[1, 2, 3, 4].map(&generate_multiple_proc(3)) # => [3, 6, 9, 12]
It comes down to style. Lambdas are a a declarative style, methods are an imperative style. Consider this:
Lambda, blocks, procs, are all different types of closure. Now the question is, when and why to use an anonymous closure. I can answer that - at least in ruby!
Closures contain the lexical context of where they were called from. If you call a method from within a method, you do not get the context of where the method was called. This is due to the way the object chain is stored in the AST.
A Closure (lambda) on the other hand, can be passed WITH lexical context through a method, allowing for lazy evaluation.
Also lambdas naturally lend themselves to recursion and enumeration.
In case of OOP, you should create a function in a class only if there should be such an operation on the class according to your domain modeling.
If you need a quick function which can be written inline such as for comparison etc, use a lambda
Also check these SO posts -
When to use lambda, when to use Proc.new?
C# Lambda expressions: Why should I use them?
When to use a lambda in Ruby on Rails?
They're used as "higher-order" functions. Basically, for cases where you pass one function to another, so that the receiving function can call the passed-in one according to its own logic.
This is common in Ruby for iteration, e.g. some_list.each { |item| ... } to do something to each item of some_list. Although notice here that we don't use the keyword lambda; as noted, a block is basically the same thing.
In Python (since we have a language-agnostic tag on this question) you can't write anything quite like a Ruby block, so the lambda keyword comes up more often. However, you can get a similar "shortcut" effect from list comprehensions and generator expressions.
I found this helpful in understanding the differences:
http://www.robertsosinski.com/2008/12/21/understanding-ruby-blocks-procs-and-lambdas/
But in general the point is sometimes your writing a method but you don't know what you're going to want to do at a certain point in that method, so you let the caller decide.
E.g.:
def iterate_over_two_arrays(arr1, arr2, the_proc)
arr1.each do |x|
arr2.each do |y|
# ok I'm iterating over two arrays, but I could do lots of useful things now
# so I'll leave it up to the caller to decide by passing in a proc
the_proc.call(x,y)
end
end
end
Then instead of writing a iterate_over_two_arrays_and_print_sum method and a iterate_over_two_arrays_and_print_product method you just call:
iterate_over_two_arrays([1,2,3], [4,5,6], Proc.new {|x,y| puts x + y }
or
iterate_over_two_arrays([1,2,3], [4,5,6], Proc.new {|x,y| puts x * y }
so it's more flexible.

Monad equivalent in Ruby

What would an equivalent construct of a monad be in Ruby?
The precise technical definition: A monad, in Ruby, would be any class with bind and self.unit methods defined such that for all instances m:
m.class.unit[a].bind[f] == f[a]
m.bind[m.class.unit] == m
m.bind[f].bind[g] == m.bind[lambda {|x| f[x].bind[g]}]
Some practical examples
A very simple example of a monad is the lazy Identity monad, which emulates lazy semantics in Ruby (a strict language):
class Id
def initialize(lam)
#v = lam
end
def force
#v[]
end
def self.unit
lambda {|x| Id.new(lambda { x })}
end
def bind
x = self
lambda {|f| Id.new(lambda { f[x.force] })}
end
end
Using this, you can chain procs together in a lazy manner. For example, in the following, x is a container "containing" 40, but the computation is not performed until the second line, evidenced by the fact that the puts statement doesn't output anything until force is called:
x = Id.new(lambda {20}).bind[lambda {|x| puts x; Id.unit[x * 2]}]
x.force
A somewhat similar, less abstract example would be a monad for getting values out of a database. Let's presume that we have a class Query with a run(c) method that takes a database connection c, and a constructor of Query objects that takes, say, an SQL string. So DatabaseValue represents a value that's coming from the database. DatabaseValue is a monad:
class DatabaseValue
def initialize(lam)
#cont = lam
end
def self.fromQuery(q)
DatabaseValue.new(lambda {|c| q.run(c) })
end
def run(c)
#cont[c]
end
def self.unit
lambda {|x| DatabaseValue.new(lambda {|c| x })}
end
def bind
x = self
lambda {|f| DatabaseValue.new(lambda {|c| f[x.run(c)].run(c) })}
end
end
This would let you chain database calls through a single connection, like so:
q = unit["John"].bind[lambda {|n|
fromQuery(Query.new("select dep_id from emp where name = #{n}")).
bind[lambda {|id|
fromQuery(Query.new("select name from dep where id = #{id}"))}].
bind[lambda { |name| unit[doSomethingWithDeptName(name)] }]
begin
c = openDbConnection
someResult = q.run(c)
rescue
puts "Error #{$!}"
ensure
c.close
end
OK, so why on earth would you do that? Because there are extremely useful functions that can be written once for all monads. So code that you would normally write over and over can be reused for any monad once you simply implement unit and bind. For example, we can define a Monad mixin that endows all such classes with some useful methods:
module Monad
I = lambda {|x| x }
# Structure-preserving transform that applies the given function
# across the monad environment.
def map
lambda {|f| bind[lambda {|x| self.class.unit[f[x]] }]}
end
# Joins a monad environment containing another into one environment.
def flatten
bind[I]
end
# Applies a function internally in the monad.
def ap
lambda {|x| liftM2[I,x] }
end
# Binds a binary function across two environments.
def liftM2
lambda {|f, m|
bind[lambda {|x1|
m.bind[lambda {|x2|
self.class.unit[f[x1,x2]]
}]
}]
}
end
end
And this in turn lets us do even more useful things, like define this function:
# An internal array iterator [m a] => m [a]
def sequence(m)
snoc = lambda {|xs, x| xs + [x]}
lambda {|ms| ms.inject(m.unit[[]], &(lambda {|x, xs| x.liftM2[snoc, xs] }))}
end
The sequence method takes a class that mixes in Monad, and returns a function that takes an array of monadic values and turns it into a monadic value containing an array. They could be Id values (turning an array of Identities into an Identity containing an array), or DatabaseValue objects (turning an array of queries into a query that returns an array), or functions (turning an array of functions into a function that returns an array), or arrays (turning an array of arrays inside-out), or parsers, continuations, state machines, or anything else that could possibly mix in the Monad module (which, as it turns out, is true for almost all data structures).
To add my two cents, I'd say that hzap has misunderstood the concept of monads.
It's not only a « type interface » or a « structure providing some specific functions », it's muck more than that.
It's an abstract structure providing operations (bind (>>=) and unit (return)) which follow, as Ken and Apocalisp said, strict rules.
If you're interested by monads and want to know more about them than the few things said in these answers, I strongly advise you to read : Monads for functional programming (pdf), by Wadler.
See ya!
PS: I see I don't directly answer your question, but Apocalisp already did, and I think (at least hope) that my precisions were worth it
Monads are not language constructs. They're just types that implement a particular interface, and since Ruby is dynamically typed, any class that implement something like collect in arrays, a join method (like flatten but only flattens one level), and a constructor that can wrap anything, is a monad.
Following on the above answers:
You may be interested in checking out Rumonade, a ruby gem which implements a Monad mix-in for Ruby.
Romande is implemented as mix-in, so it expect its host class to implement the methods self.unit and #bind (and optionally, self.empty), and will do the rest to make things work for you.
You can use it to map over Option, as you are used to in Scala, and you can even get some nice multiple-failure return values from validations, a la Scalaz's Validation class.

How do I create a reusable block/proc/lambda in Ruby?

I want to create a filter, and be able to apply it to an array or hash. For example:
def isodd(i)
i % 2 == 1
end
The I want to be able to use it like so:
x = [1,2,3,4]
puts x.select(isodd)
x.delete_if(isodd)
puts x
This seems like it should be straight forward, but I can't figure out what I need to do it get it to work.
Create a lambda and then convert to a block with the & operator:
isodd = lambda { |i| i % 2 == 1 }
[1,2,3,4].select(&isodd)
puts x.select(&method(:isodd))
You can create a named Proc and pass it to the methods that take blocks:
isodd = Proc.new { |i| i % 2 == 1 }
x = [1,2,3,4]
x.select(&isodd) # returns [1,3]
The & operator converts between a Proc/lambda and a block, which is what methods like select expect.
If you are using this in an instance, and you do not require any other variables outside of the scope of the proc (other variables in the method you're using the proc in), you can make this a frozen constant like so:
ISODD = -> (i) { i % 2 == 1 }.freeze
x = [1,2,3,4]
x.select(&ISODD)
Creating a proc in Ruby is a heavy operation (even with the latest improvements), and doing this helps mitigate that in some cases.

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