at my job, i studied very quickly something that involved computing all
the ways one can build a positive integer from the addition of other
positive integers.
enters the `ways-to-add-up-to` command i've written and added to the
`math` module in this PR.
## example
`ways-to-add-up-to 4` will be `[[1, 1, 1, 1], [1, 1, 2], [1, 3], [2, 2],
[4]]]` because $4$
can be obtained as follows:
$$ 1 + 1 + 1 + 1 $$
$$ 1 + 1 + 2 = 1 + 2 + 1 = 2 + 1 + 1 $$
$$ 1 + 3 = 3 + 1 $$
$$ 2 + 2 $$
$$ 4 $$
> **Note**
> $1 + 1 + 2$ and $1 + 2 + 1$ are considered the same because addition
is _commutative_ and thus only `[1, 1, 2]` will be returned
I used [typos](https://github.com/crate-ci/typos/).
I manually checked all the corrections and they seem safe to me.
There are still some left, but those in this PR are good
related to
- https://github.com/nushell/nushell/pull/10383
this PR resurrects the `cartesian product` command from
https://github.com/nushell/nushell/pull/10383 and adds it to the `maths`
module of the `nu_scripts`:
- a new `cartesian product` command
- some unit tests for it
## use the command
i've installed the `nu_scripts` with `nupm`, thus i'm able to do
```nushell
use nu-scripts/modules/maths/math_functions.nu "cartesian product"
cartesian product ...
```
## run the tests
from the root of the `nu_scripts`, checked out on this PR, run
```nushell
use std; std testing run-tests --path modules/maths/ --test cartesian_product
```
* refactor: ✨ move in one commit
Eveything in modules should probably be changed to `exported` defs.
The idea is to move everything first to keep proper history.
* refactor: 📝 add modules readme (wip)
* refactor: ✨ small move
* refactor: 📝 changed nestring, updated modules readme
* refactor: 📝 to document or not to document
* fix: 🐛 themes
replaced the template to use `main` and regenerated them
from lemnos themes.
* Revert "fix: 🐛 themes"
This reverts commit 4918d3633c8d2d81950a0ed0cfd9eb84241bc886.
* refactor: ✨ introduce sourced
- Created a source `root` in which sourcable demos are stored.
Some might get converted to modules later on.
- Moved some files to bin too.
* fix: 🐛 fehbg.nu
* fix: 🐛 modules/after.nu
* moved some other stuff around
---------
Co-authored-by: Darren Schroeder <343840+fdncred@users.noreply.github.com>
