Added Integer Keyboard to the Calculator

[anastasia-mbithe]

Fixes #7483
This is still in progress.

[rdstern]

@anastasia-mbithe that's a good start.
a) I think call it Integer, rather than arithmetic.
b) Change Prime as the label to prime. And get rid of the dash in the function- it doesn't work currently.
c) Add the factorizeZ key and the chooseZ functions, as factorial and choose keys.
d) add a nextprime key.
That should be quick - next some puzzles:
e) Now some puzzles for you - not so simple, and each to be considered only if there is a reasonably easy solution.

1. I really like factorize, but it seems to work for just a single number, rather than a column of numbers. And it gives the result in a short column, which then get repeated down the variable. Could you get it to produce the results in a single list each time, and to work for a variable, rather than a number?
2. And a fib key would be nice. Again that works only for a single number, while fib2 gives 2 Fibonacci numbers. Could you add sapply as described under the Eulerian in the guide?
3. And look for more keys to add from the package

[anastasia-mbithe]

@rdstern, if its integer then I'll change the first key to "bigz" instead of bigq. I can still keep the bigq if you need it too.

[lloyddewit]

@anastasia-mbithe Thank you for this, is this PR ready again for test/review or is it still in progress?
Thanks

[anastasia-mbithe]

Hello @lloyddewit, This is still in progress.

[rdstern]

@anastasia-mbithe this is starting to look good. And well done on using the Desctools package.
a) I know the keyboard is called integer, but is there any advantage using bigz, rather than bigq as the first function? If so, then perhaps we include both? But we may want to use the function on non-integer data, and bigz truncates, while bigq seems fine. I tried on the fert column in the survey data.
b) Could you and @Wycklife add tooltips to the keys?
c) Then I am happy to approve. But could you also, between you, find any other keys that could be useful to add? I am particularly thinking of interesting things that would be fun in a maths camp.

[anastasia-mbithe]

@rdstern , I have added some other functions as Fibonacci(), Divisors(), PercentRank() and DigitSum() from the DescTools package. I have also added the tooltips and bigq function.
Have a look at it.

[rdstern]

Sounds good. Can you add an example of each that I can use. Do they all work with columns of data, or are some simpler than that?

[anastasia-mbithe]

Fibonacci(c(1,2,5,7,8,10))
[1] 1 1 5 13 21 55
Divisors(c(4,8,21,45))
$4
[1] 1 2

$8
[1] 1 2 4

$21
[1] 1 3 7

$45
[1] 1 3 5 9 15

PercentRank(c(1,2,5,6,7))
[1] 0.2 0.4 0.6 0.8 1.0
DigitSum(c(234,567,12345,987))
[1] 9 18 15 24

Yeah they all can work with a number, a list and even a column.

[rdstern]

I'd be happy for this to be merged. We may wish to add more, but that may always be the case.