Why ruby's inject doesn't sum correctly? - ruby

I'm not getting correct results from the following monkey-patching method in Integer:
def harm
1 + (2..self).inject{|sum, x| sum + 1/x.to_r}
end
2.harm #=> 3
it should return 3/2 instead, where is my mistake?

There are two problems here:
When you iterate across a closed range, such as 2..2, nothing actually happens:
(0..0).inject(){|s, x| s+= 99 }
# => 0
Which is why you get 3, as 1 + 2 is 3.
If you do not pass an argument into inject, it uses the first value you pass into the iterator as the starting memo, i.e. 2:
(2..2).inject(){|s, x| s+= 99 }
#=> 2
Putting in a 0 gets you an actual iteration:
(2..2).inject(0){|s, x| s+= 99 }
#=> 99
So try this instead in your method:
1 + (2..self).inject(0){|sum, x| sum + 1/x.to_r}
Standalone:
1 + (2..2).inject(0){|sum, x| sum + 1/x.to_r}
#=> 3/2

Here is the tip(you need to pass the initial value to the inject method):
def harm
1 + (2..2).inject(0){|sum, x| sum + 1/x.to_r}
end
harm # => (3/2)
Documentation of Enumerable#inject:
If you specify a block, then for each element in enum the block is passed an accumulator value (memo) and the element. If you specify a symbol instead, then each element in the collection will be passed to the named method of memo. In either case, the result becomes the new value for memo. At the end of the iteration, the final value of memo is the return value for the method.
If you do not explicitly specify an initial value for memo, then the first element of collection is used as the initial value of memo.

In the 1 minute of time that I decided to spend over your question, I was unable to realize what's wrong with your code. But I was able to write this method that does something similar to what you want to do:
class Integer
def harm
return 0 if self == 0
return -(-self).harm if self < 0
( 1 .. self ).map { |n| Rational 1, n }.reduce :+
end
end
0.harm #=> 0
2.harm #=> 3/2
7.harm #=> 363/140
-2.harm #=> (-3/2)
Note, though, that for large number, this highly readable code becomes inefficient, as it prepares the array in the memory before performing the summation.

Related

Deeper explanation of reduce / inject method in ruby

I've been racking my brains around this for some time.
When using reduce - why is the first element returned without executing the operation defined in the block? Or am I missing a crucial point in how reduce works?
In the following example:
arr = [1, 3, 5]
arr.reduce {|sum, n| sum + (n * 3) }
#=> 25
I would have expected the result to be 27.
Since:
0 + (1 * 3) = 3
3 + (3 * 3) = 12
12 + (5 * 3) = 27
After some time playing around with it I figured out that in the first "tick" - the object from the array just get's added to the sum instead of being multiplied. So that the calculation is more like:
??? = 1
1 + (3 * 3) = 10
10 + (5 * 3) = 25
Could someone help me figure out where I've gotten off the path?
It's in the docs.
If you do not explicitly specify an initial value for memo, then the first element of collection is used as the initial value of memo.
I had a similar issue with the default values in Ruby inject/reduce methods, so I've tried to visualize it:
I thnk that the explanation is in the help o¡f the methos in this case:
[1] pry(main)> cd Array
[2] pry(Array):1> ? reduce
From: enum.c (C Method):
Owner: Enumerable
Visibility: public
Signature: reduce(*arg1)
Number of lines: 33
Combines all elements of enum by applying a binary
operation, specified by a block or a symbol that names a
method or operator.
The inject and reduce methods are aliases. There
is no performance benefit to either.
If you specify a block, then for each element in enum
the block is passed an accumulator value (memo) and the element.
If you specify a symbol instead, then each element in the collection
will be passed to the named method of memo.
In either case, the result becomes the new value for memo.
At the end of the iteration, the final value of memo is the
return value for the method.
If you do not explicitly specify an initial value for memo,
then the first element of collection is used as the initial value
of memo.
# Sum some numbers
(5..10).reduce(:+) #=> 45
# Same using a block and inject
(5..10).inject { |sum, n| sum + n } #=> 45
# Multiply some numbers
(5..10).reduce(1, :*) #=> 151200
# Same using a block
(5..10).inject(1) { |product, n| product * n } #=> 151200
# find the longest word
longest = %w{ cat sheep bear }.inject do |memo, word|
memo.length > word.length ? memo : word
end
longest #=> "sheep"
So you need to specify the first memo as 0, in your case is one:
[4] pry(Array):1> [1,3,5].reduce(0) {|sum, n| sum + (n * 3) }
=> 27

Find the odd int - Ruby Nested Loop Error

I was doing this question on codewars: "Given an array, find the int that appears an odd number of times. There will always be only one integer that appears an odd number of times."
Code:
def find_it(seq)
int = []
for a in seq do
count = 0
for b in seq do
if a == b
count += 1
end
end
if count % 2.0 != 0
int << b
end
end
puts int.uniq[0].to_i
end
It was tested against a couple inputs, but the answers were wrong for these two arrays:
find_it([1,1,2,-2,5,2,4,4,-1,-2,5]) - returns 5 instead of -1
find_it([1,1,1,1,1,1,10,1,1,1,1]) - returns 1 instead of 10
What went wrong with my code?
if count % 2.0 != 0
int << b
end
The problem you have here is that your pushing b instead of a into the integer array, so what's happening is that instead of the value that you counted being pushed in, your pushing in the last value of b which is the last value element in the array regardless as long as the condition that the counter is an odd number, although b and counter have nothing to do with each other. so to fix it you replace b with a so that it pushes in the value you are testing comparing with the other elements in the second loop
fix:
if count % 2.0 != 0
int << a
end
a similar yet simpler code that does a similar job except in a shorter and more understandable way is:
def find_it(seq)
numberWithOddCount = 0
seq.each do |currentElement|
counter = 0
seq.each { |elementToCompare| counter += 1 if currentElement == elementToCompare}
numberWithOddCount = currentElement if counter % 2 != 0
end
numberWithOddCount
end
Just added a few tid-bits that you could also utilize to shorten and simplify code.
Happy Coding!
Note:
You could utilize built in ruby methods in creative ways to make the code do what you want in very few lines (or even one line) such as what #iGian did in the questions comments, but if your still new to ruby then its best to utilize those methods one by one when learning them otherwise you'll be confused. But if your willing to take the time now to learn them, I suggest you take his code and separate each method execution into its own line and output what each method had done to know what's doing what. and practice using each separately.
#aimen_alt is right about your mistake
but let's decompose your problem.
First, you need to calculate the appearances of each number.
Second, you need to find the one with the odd count of the appearances.
Accordingly to the problem, there is only one such number, so you can return it right away.
You can go your way and do it in O(N^2) complexity by scanning your sequence for each item in the sequence (so N items in the sequence multiply by the size of the sequence N = N*N). You can do it linearly* by constructing a Hash and than you'll be able to get the key with odd value:
def find_it(seq)
numbers = {}
seq.each do |item|
numbers[item] = numbers[item].to_i + 1
end
numbers.select{ |k,v| v.odd? }.first.first
end
to be more idiomatic you can use group_by to group the numbers themselves:
seq = [1, 2, 6, 1, 2]
seq.group_by{ |item| item }
#=> {1=>[1, 1], 2=>[2, 2], 6=>[6]}
You can see that each value is an Array, and you just need to get one with the odd amount of items:
seq = [1, 2, 6, 1, 2]
seq.group_by{ |item| item }.select{ |k, v| v.size.odd? }
#=> {6=>[6]}
And the last thing you would like to do is to get the value of the key:
seq.group_by{ |item| item }.select{ |k, v| v.size.odd? }.keys.first
So, the final solution would be
def find_it(seq)
seq.group_by{ |item| item }
.select{ |k, v| v.size.odd? }
.keys
.first
end
as #pascalbetz mentioned:
def find_it(seq)
seq.group_by{ |item| item }
.find{ |k, v| v.size.odd? }
.first
end
def find_it(seq)
seq.group_by{|x| x}.select{|k, v| (v.count % 2.0 !=0)}.first[0]
end
The above code will take a sequence in an array. Here we are grouping by elements:
For example:
[1,1,2,-2,5,2,4,4,-1,-2,5].group_by{|x| x}
# => {1=>[1, 1], 2=>[2, 2], -2=>[-2, -2], 5=>[5, 5], 4=>[4, 4], -1=>[-1]}
after getting the above results, we are finding the whose elements count not odd with the select condition.
ex:
[1,1,2,-2,5,2,4,4,-1,-2,5].group_by{|x| x}.select{|k, v| (v.count % 2.0 !=0)}
we will get the results as {-1=>[-1]}
we are taking the key as result element.
What about this one
def find_it(seq)
seq.reduce(:^)
end
^ -> this symbol is bitwise XOR.
reduce function is taking each value and doing whatever work assigned inside. In this case, it's taking each element and doing an XOR operation. the first element is doing XOR with zero and the next element doing XOR with the previous result and so on.
In this way, we found the odd element.
How XOR operation work
0 ^ 2 = 2
4 ^ 4 = 0
If you want to know more about XOR. kindly refer to this.
Thank you for all the detailed answers, I'm going over everyone's answers now. I'm new to Ruby, and I'm still in the process of learning the methods/rules of using them/Big O notation, so I much appreciated everyone's input. Codewar listed some top ranked solutions. This seems to be the fastest so far:
def find_it(seq)
seq.detect { |n| seq.count(n).odd? }
end

I don't understand this method

I'm a beginner in Ruby and I don't understand what this code is doing, could you explain it to me, please?
def a(n)
s = 0
for i in 0..n-1
s += i
end
s
end
def defines a method. Methods can be used to run the same code on different values. For example, lets say you wanted to get the square of a number:
def square(n)
n * n
end
Now I can do that with different values and I don't have to repeat n * n:
square(1) # => 1
square(2) # => 4
square(3) # => 9
= is an assignment.
s = 0 basically says, behind the name s, there is now a zero.
0..n-1 - constructs a range that holds all numbers between 0 and n - 1. For example:
puts (0..3).to_a
# 0
# 1
# 2
# 3
for assigns i each consecutive value of the range. It loops through all values. So first i is 0, then 1, then ... n - 1.
s += i is a shorthand for s = s + i. In other words, increments the existing value of s by i on each iteration.
The s at the end just says that the method (remember the thing we opened with def) will give you back the value of s. In other words - the sum we accumulated so far.
There is your programming lesson in 5 minutes.
This example isn't idiomatic Ruby code even if it is syntactically valid. Ruby hardly ever uses the for construct, iterators are more flexible. This might seem strange if you come from another language background where for is the backbone of many programs.
In any case, the program breaks down to this:
# Define a method called a which takes an argument n
def a(n)
# Assign 0 to the local variable s
s = 0
# For each value i in the range 0 through n minus one...
for i in 0..n-1
# ...add that value to s.
s += i
end
# The result of this method is s, the sum of those values.
s
end
The more Ruby way of expressing this is to use times:
def a(n)
s = 0
# Repeat this block n times, and in each iteration i will represent
# a value in the range 0 to n-1 in order.
n.times do |i|
s += i
end
s
end
That's just addressing the for issue. Already the code is more readable, mind you, where it's n.times do something. The do ... end block represents a chunk of code that's used for each iteration. Ruby blocks might be a little bewildering at first but understanding them is absolutely essential to being effective in Ruby.
Taking this one step further:
def a(n)
# For each element i in the range 0 to n-1...
(0..n-1).reduce |sum, i|
# ...add i to the sum and use that as the sum in the next round.
sum + i
end
end
The reduce method is one of the simple tools in Ruby that's quite potent if used effectively. It allows you to quickly spin through lists of things and compact them down to a single value, hence the name. It's also known as inject which is just an alias for the same thing.
You can also use short-hand for this:
def a(n)
# For each element in the range 0 to n-1, combine them with +
# and return that as the result of this method.
(0..n-1).reduce(&:+)
end
Where here &:+ is shorthand for { |a,b| a + b }, just as &:x would be short for { |a,b| a.x(b) }.
As you are a beginner in Ruby, let's start from the small slices.
0..n-1 => [0, n-1]. E.g. 0..3 => 0, 1, 2, 3 => [0, 3]
for i in 0.. n-1 => this is a for loop. i traverses [0, n-1].
s += i is same as s = s + i
So. Method a(n) initializes s = 0 then in the for loop i traverse [0, n - 1] and s = s + i
At the end of this method there is an s. Ruby omits key words return. so you can see it as return s
def a(n)
s = 0
for i in 0..n-1
s += i
end
s
end
is same as
def a(n)
s = 0
for i in 0..n-1
s = s + i
end
return s
end
a(4) = 0 + 1 + 2 + 3 = 6
Hope this is helpful.
The method a(n) calculates the sums of the first n natural numbers.
Example:
when n=4, then s = 0+1+2+3 = 6
Let's go symbol by symbol!
def a(n)
This is the start of a function definition, and you're defining the function a that takes a single parameter, n - all typical software stuff. Notably, you can define a function on other things, too:
foo = "foo"
def foo.bar
"bar"
end
foo.bar() # "bar"
"foo".bar # NoMethodError
Next line:
s = 0
In this line, you're both declaring the variable s, and setting it's initial value to 0. Also typical programming stuff.
Notably, the value of the entire expression; s = 0, is the value of s after the assignment:
s = 0
r = t = s += 1 # You can think: r = (t = (s += 1) )
# r and t are now 1
Next line:
for i in 0..n-1
This is starting a loop; specifically a for ... in ... loop. This one a little harder to unpack, but the entire statement is basically: "for each integer between 0 and n-1, assign that number to i and then do something". In fact, in Ruby, another way to write this line is:
(0..n-1).each do |i|
This line and your line are exactly the same.
For single line loops, you can use { and } instead of do and end:
(0..n-1).each{|i| s += i }
This line and your for loop are exactly the same.
(0..n-1) is a range. Ranges are super fun! You can use a lot of things to make up a range, particularly, time:
(Time.now..Time.new(2017, 1, 1)) # Now, until Jan 1st in 2017
You can also change the "step size", so that instead of every integer, it's, say, every 1/10:
(0..5).step(0.1).to_a # [0.0, 0.1, 0.2, ...]
Also, you can make the range exclude the last value:
(0..5).to_a # [0, 1, 2, 3, 4, 5]
(0...5).to_a # [0, 1, 2, 3, 4]
Next line!
s += i
Usually read aloud a "plus-equals". It's literally the same as: s = s + 1. AFAIK, almost every operator in Ruby can be paired up this way:
s = 5
s -= 2 # 3
s *= 4 # 12
s /= 2 # 6
s %= 4 # 2
# etc
Final lines (we'll take these as a group):
end
s
end
The "blocks" (groups of code) that are started by def and for need to be ended, that's what you're doing here.
But also!
Everything in Ruby has a value. Every expression has a value (including assignment, as you saw with line 2), and every block of code. The default value of a block is the value of the last expression in that block.
For your function, the last expression is simply s, and so the value of the expression is the value of s, after all is said and done. This is literally the same as:
return s
end
For the loop, it's weirder - it ends up being the evaluated range.
This example may make it clearer:
n = 5
s = 0
x = for i in (0..n-1)
s += i
end
# x is (0..4)
To recap, another way to write you function is:
def a(n)
s = 0
(0..n-1).each{ |i| s = s + i }
return s
end
Questions?

Why do I get a 'typeerror' when using inject in Ruby?

I am using this inject method to make a running total of values into an array. I am trying to figure out why I am getting an error.
def running_totals(myarray)
results = []
myarray.inject([]) do |sum,n|
results << sum + n
end
results
end
p running_totals([1,2,3,4,5])
I am getting the error
in `+': no implicit conversion of Fixnum into Array (TypeError)
When breaking this method down, isn't this the same as adding two integers and adding that into an array? I'm a bit confused here. Thanks for the help.
In the first iteration sum will be an array (as you specified an array as the default when calling inject([])) and you try to add a number to it. in the results << sum + n statement
Instead, set the initial value to 0, then add, then add the result to the array, then make sure you let sum get passed into the next iteration of inject.
def running_totals(myarray)
results = []
myarray.inject(0) do |sum,n| # First iteration sum will be 0.
sum += n # Add value to sum.
results << sum # Push to the result array.
sum # Make sure sum is passed to next iteration.
end
results
end
p running_totals([1,2,3,4,5]) #=> [1, 3, 6, 10, 15]
The result of results << sum + n is an array results and it's this that's replacing the sum value and so the next iteration you're trying to add a fixnum n into an array sum ... plus it doesn't help that you're initializing the value of sum to be an array.
Make sure that the last executed statement in your inject block is what you want the accumulated value to be.
def running_totals(myarray)
results = []
results << myarray.inject do |sum, n|
results << sum
sum + n
end
results
end
p running_totals([1,2,3,4,5])
=> [1, 3, 6, 10, 15]
Note that I moved the result of the inject into results array as well, so that the final value is also included, otherwise you'd only have the four values and would be missing the final (15) value.
The return value of the inject block is passed as the first argument the next time the block is called, so those have to match. In your code, you're passing an array as an intital value, and then returning an array; so far, so good. But inside the code block you treat that array parameter (sum) as a number, which won't work. Try this:
def running_totals(myarray)
myarray.inject([]) do |results,n|
results << n + (results.last || 0)
end
end
The [] passed as an argument to inject becomes the first value of results; the first array element (1 in your example) becomes the first value of n. Since results is empty, results.last is nil and the result of (results.last || 0) is 0, which we add to n to get 1, which we push onto results and then return that newly-modified array value from the block.
The second time into the block, results is the array we just returned from the first pass, [1], and n is 2. This time results.last is 1 instead of nil, so we add 1 to 2 to get 3 and push that onto the array, returning [1,3].
The third time into the block, results is [1,3], and n is 3, so it returns [1,3,6]. And so on.
According to ri, you have to return result of the computation from inject's block.
From: enum.c (C Method):
Owner: Enumerable
Visibility: public
Signature: inject(*arg1)
Number of lines: 31
Combines all elements of enum by applying a binary
operation, specified by a block or a symbol that names a
method or operator.
If you specify a block, then for each element in enum
the block is passed an accumulator value (memo) and the element.
If you specify a symbol instead, then each element in the collection
will be passed to the named method of memo.
In either case, the result becomes the new value for memo.
At the end of the iteration, the final value of memo is the
return value for the method.
If you do not explicitly specify an initial value for memo,
then uses the first element of collection is used as the initial value
of memo.
Examples:
# Sum some numbers
(5..10).reduce(:+) #=> 45
# Same using a block and inject
(5..10).inject {|sum, n| sum + n } #=> 45
# Multiply some numbers
(5..10).reduce(1, :*) #=> 151200
# Same using a block
(5..10).inject(1) {|product, n| product * n } #=> 151200
# find the longest word
longest = %w{ cat sheep bear }.inject do |memo,word|
memo.length > word.length ? memo : word
end
longest
So your sample would work if you return computation result for each iteration, something like this:
def running_totals(myarray)
results = []
myarray.inject do |sum,n|
results << sum + n
results.last # return computation result back to Array's inject
end
results
end
Hope it helps.

The 'upto' method in Ruby

I'm learning Ruby, and there has been a bit of talk about the upto method in the book from which I am learning. I'm confused. What exactly does it do?
Example:
grades = [88,99,73,56,87,64]
sum = 0
0.upto(grades.length - 1) do |loop_index|
sum += grades[loop_index]
end
average = sum/grades.length
puts average
Let's try an explanation:
You define an array
grades = [88,99,73,56,87,64]
and prepare a variable to store the sum:
sum = 0
grades.length is 6 (there are 6 elements in the array), (grades.length - 1) is 5.
with 0.upto(5) you loop from 0 to 5, loop_index will be 0, then 1...
The first element of the array is grades[0] (the index in the array starts with 0).
That's why you have to subtract 1 from the number of elements.
0.upto(grades.length - 1) do |loop_index|
Add the loop_index's value to sum.
sum += grades[loop_index]
end
Now you looped on each element and have the sum of all elements of the array.
You can calculate the average:
average = sum/grades.length
Now you write the result to stdout:
puts average
This was a non-ruby-like syntax. Ruby-like you would do it like this:
grades = [88,99,73,56,87,64]
sum = 0
grades.each do |value|
sum += value
end
average = sum/grades.length
puts average
Addendum based on Marc-Andrés comment:
You may use also inject to avoid to define the initial sum:
grades = [88,99,73,56,87,64]
sum = grades.inject do |sum, value|
sum + value
end
average = sum / grades.length
puts average
Or even shorter:
grades = [88,99,73,56,87,64]
average = grades.inject(:+) / grades.length
puts average
From http://www.ruby-doc.org/docs/ProgrammingRuby/html/ref_c_integer.html#upto:
upto int.upto( anInteger ) {| i | block }
Iterates block, passing in integer values from int up to and
including anInteger.
5.upto(10) { |i| print i, " " }
produces:
5 6 7 8 9 10
Upto executes the block given once for each number from the original number "upto" the argument passed. For example:
1.upto(10) {|x| puts x}
will print out the numbers 1 through 10.
It is just another way to do a loop/iterator in Ruby. It says do this action n times based on i being the first number the the number in parens as the limit.
My example would have been this:
1.upto(5) { |i| puts "Countup: #{i}" }
So what you're actually doing here is saying, I want to count up from 1 to the number 5, that's specifically what this part is saying:
1.upto(5)
The latter part of code (a block) is just outputting the iteration of going through the count from 1 up to 5. This is the output you might expect to see:
Countup: 1
Countup: 2
Countup: 3
Countup: 4
Countup: 5
Note: This can be written is another way if you're using multilines:
1.upto(5) do |i|
puts "Countup: #{i}"
end
Hope this helps.
An alternative that looks more like Ruby to me is
require 'descriptive_statistics'
grades=[88,99,73,56,87,64]
sum = grades.sum
average = grades.mean
sd = grades.standard_deviation
Of course it depends what you're doing.

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