Problem 24. Function Iterator

Created by Cody Team

Solve Later

Given a handle fh to a function which takes a scalar input and returns a scalar output and an integer n >= 1, return a handle fh2 to a function which applies the given function n times.

Examples:

 >> addOne = @(x)x+1;
 >> addTen = iterate_fcn(addOne, 10);
 >> addTen(3)
 ans =
     13

 >> squarer = @(a) a^2;
 >> fh2 = iterate_fcn(squarer, 3);
 >> fh2(3)
 ans =
         6561

 % Golden Ratio
 >> fh = @(y)sqrt(y+1);
 >> fh2 = iterate_fcn(fh,30);
 >> fh2(1)
 ans =
     1.6180

Solve

Solution Stats

4083 Solutions
860 Solvers

Last Solution submitted on Jan 19, 2020

Last 200 Solutions

Problem Comments

21 Comments

21 Comments

Show 18 older comments

Alan Chalker on 12 Feb 2012

This problem nicely illustrates a very frustrating aspect of Cody: if you have no idea how to solve a problem that involves some sort of 'trick', you are completely stuck with no chance to learn or improve upon your solution. I've spent an inordinate amount of time today trying a variety of solutions to this, and I suspect the correct solution involves something like arrayfun or cellfun or eval. But I can't get any solution to work, no matter how 'ugly' or 'brute force' it is. I'm really curious as to how to do this, since function handles clearly are an area I need to improve my skills in. At least with other problems you can usually come up with some sort of solution, go solve another problem, and then come back to look at all the 'elegant' solutions and hopefully learn from them. With problems like this that type of feedback cycle is impossible.

bym on 14 Feb 2012

I would agree. I had an eval solution that worked on my older Matlab version, but using eval is prohibited by the test suite. Test suite also checks for more than 32 levels of parenthesis,ruling out a str2func solution :(

AMITAVA BISWAS on 20 Feb 2012

This is the kind of problem I love and hate at the same time, was worse than nightmare when I was a student. I was able to solve with great relief after searching by the keyword 'functions' in Matlab Help and looking at the examples presented there.

James on 9 Apr 2012

Right now, I'm in the same boat as Alan was when he wrote his comment.

Is there any chance of getting a "You win, Cody. Just tell me how to solve it, pretty please with sugar on top." button for some of these problems?

Freddy on 9 Apr 2012

A little hint: funception

David Hruska on 13 Apr 2012

For anyone who gets stuck on this problem, or who wants more practice with function handles, I've created a few more similar problems: http://www.mathworks.com/matlabcentral/cody/problems/581-function-composition, http://www.mathworks.com/matlabcentral/cody/problems/582-function-composition-harder, http://www.mathworks.com/matlabcentral/cody/problems/583-implement-a-counter

Aurelien Queffurust on 18 Apr 2012

@freddy: what is funception?

I really got stuck with this problem although I managed to solve those from David Hruska.

@CODY TEAM: I suggest that when a player reaches 1000 points , he receives a joker that he can use to get the solution for 1 problem ;)

Freddy on 18 Apr 2012

@Aurelien Queffurust: My intention with funception was to combine func(tion) and (inc)eption - based on the film. Function Iterator is quite similar to this "new" word creation, but in the first case, one could use e.g. str2func solutions. My intention was point to think of a nested concept.

Aurelien Queffurust on 23 May 2012

Ouf! I finally managed to solve it! FYI, I have created a trend for this issue with trendy : http://www.mathworks.com/matlabcentral/trendy/plots/862
to monitor how correct solutions are computed for this problem ;)

Pascal Geschwill on 9 Aug 2014

Now this happens to be the last problem in the Cody Challenge that I still have absolutley no idea how to solve. I skipped it it a while ago so I could work on the other problems. I am absolutely lost and feel very similar as Alan. Unfortunately, reading through the links you suggested also did not help. Would it be possible to at least provide a small hint on how to structure the code? I think I get what the code is supposed to do but I am completely in the dark about how to build it up. Any help will be greatly appreciated!

Jean-Marie Sainthillier on 10 Aug 2014

Don't give up Pascal. This problem has been THE nightmare for everybody. You can find some hints in the Loren's Blog (http://blogs.mathworks.com/loren/).

Pascal Geschwill on 12 Aug 2014

Still not making an progress. I know it's a little obtrusive, especially considering that this is just a game but would you mind if I wrote you an email explaining my thought processes so far?

Pascal Geschwill on 15 Aug 2014

I finally got it! Thanks again for your help :)

Adr Paw on 10 Aug 2016

Hey..can sb help me? I'm stuck on Test1 and Test5. Why in Test1 the answer is pi? I thought it should be 50, as we pass 50 to the function and no matter how many iternations are it should return 50. And Test5 - why 1.6180? We input 30 and iterate once so sqrt(31) is 5.5678. The rest of test seems to be ok for me.

SERGII DENEGA on 16 Oct 2016

this sort of problems i like to see more on Cody

Hans Kramer on 22 Oct 2018

Took me way longer than i thought it would.

Burak Bayram on 15 Jan 2019

phew! that was so hard for someone has little understanding of functions let alone sub functions, function handles and nested functions.Those are my tips by the way :) They're saying nested function is way to go but the hardest thing to nail for me was function handle actually!

Also first examples can be deceptive, at first I thought n was not the iteration time and found golden ratio to be sqrt(31) but actually they want you to iterate 1 with the golden ratio function, 30 times.

Fabio Squizzato on 20 Feb 2019

I don´t believe... I didn´t... Very interesting probleam really, easier to make in paper

Carlos Castillo on 8 Jun 2019

Wow! This was a wild one to throw in this spot, after only 23 sort of basic problems for the ones that do the challenge in this order.

Shout out to those fellow members who pointed out to the nested functions documentation.

Probably it would help a lot if the explanation was a bit more clear. For example, that thing about "returns a scalar output and an integer n >= 1" is very confusing. The only thing that's returned is the scalar output. Probably you meant that the function takes a scalar input and an integer n>=1—which is actually true—but it's not clear.

Another thing, the examples can really be misleading, especially that addTen handle, which doesn't really mean "add ten" but "add one ten times."

Anyway, great problem. I see it served as an introduction function handles and nested functions for many, including myself.

Banister on 5 Aug 2019

That was tough !
New to sub-functions and getting the syntax correct (understanding it ) was tricky. Arguments in - out shake them all about.

Sanzhar Askaruly on 11 Aug 2019

new concept for me after 3 years. now gotta use

Solution Comments

Solution 1604270

1 Comment

1 Comment

Shawn Neal on 9 Aug 2018

I have a question, this code ran well on my Matlab. But it reports "Undefined function 'syms' for input arguments of type 'char'." all test.So I have no idea what's wrong with it. Can somebody help me?

Solution 1431538

1 Comment

1 Comment

Chuck Saunders on 1 Feb 2018

Wow a useful challenge!

Solution 1321955

1 Comment

1 Comment

Simon Thomas on 31 Oct 2017

This took me 3 days but I am old and slow.

Work through, modify, play with and understand the examples given in the Matlab documentation about Nested Functions.

My solution is adapted from their second example: makefcn.m.

Solution 1171152

1 Comment

1 Comment

yurenchu on 25 Apr 2017

Will also work for n = 0.

Solution 719312

1 Comment

1 Comment

Richard on 21 Aug 2015

I thought I'd need a class to save 'fh' and 'n', but it seems that nested functions are magical.

Solution 476900

1 Comment

1 Comment

Christopher Creutzig on 28 Jul 2014

Cheater. :-) (And not even *that* short.)

Solution 441301

1 Comment

1 Comment

Alvery on 15 Jul 2014

Good to see someone else try the recursive approach. It may be larger than the iterative alternative, but in my opinion it is more elegant.

Solution 436290

2 Comments

2 Comments

Daniel Pereira on 29 Apr 2014

That was amazingly hard! Never used function handles. And I think i never will...

David Verrelli on 10 Apr 2017

Interesting to see you used the same variable name for both input and output of your nested function.

Solution 336137

2 Comments

2 Comments

Ian on 3 Nov 2013

How do I understand this? Never seen such a kind of code before.

David Verrelli on 10 Apr 2017

Nice use of an anonymous function in your recursive approach. (I had used a nested function in an 'iterative' approach.)

Solution 303070

3 Comments

3 Comments

Philip on 27 Feb 2014

Hmm, my version of Matlab doesn't have that function :)

Daniel Pereira on 29 Apr 2014

WTF?

David Verrelli on 10 Apr 2017

Nobody's version of Matlab has that 'function'. Have a look at https://au.mathworks.com/matlabcentral/cody/problems/1774-free-passes-for-everyone

Solution 283839

1 Comment

1 Comment

Jan Orwat on 17 Jul 2013

"iterative iterator"

Solution 208601

2 Comments

2 Comments

Richard on 25 Feb 2013

Hey, I finished the cody challenge a few months ago but when I just checked back my old solution to this problem is no longer valid! So my solution was retroactively rejected! What gives Cody team?

Ned Gulley on 25 Feb 2013

Yes... sorry about that. It turns out the STR2FUNC function was being badly abused in the name of writing short answers. Since we saw almost no places where it was being used responsibly, we decided to invalidate all answers with STR2FUNC. It's a compromise, but we think on balance that it's the right thing to do.

Solution 202214

2 Comments

2 Comments

Michael Eldredge on 21 Nov 2017

I hit like because this is the first "leading solution" that is not a cheat.

Michael Eldredge on 21 Nov 2017

I hit like because this is the first "leading solution" that I have seen that is not a cheat.

Solution 179137

1 Comment

1 Comment

Des Mc Manus on 18 Dec 2012

To be fair, you should point out in the preamble that you cannot use the 'eval' command in your code

Solution 63253

2 Comments

2 Comments

Freddy on 20 Mar 2012

Have tried some solutions, but couldn't figure out a working one...

Daniel Pereira on 29 Apr 2014

I managed to solve it thanks to matlab help. Tip: "Nested Functions"

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