| Name | cbirds JSON |
| Version |
0.1.0
JSON |
| download |
| home_page | |
| Summary | Combinatory Birds |
| upload_time | 2023-06-09 00:28:40 |
| maintainer | |
| docs_url | None |
| author | |
| requires_python | >=3.7 |
| license | |
| keywords |
cbirds
combinator
birds
combinator birds
logic
|
| VCS |
 |
| bugtrack_url |
|
| requirements |
No requirements were recorded.
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|
# cbirds
---
## Combinator Birds
> This is a port of the haskell package [Data.Aviary.Birds](https://hackage.haskell.org/package/data-aviary-0.4.0/docs/Data-Aviary-Birds.html). Please check this out if you want to see more details about the birds.
``cbirds`` is a module intended for demonstration purposes rather than functional or practical use. The objective is to
support the **combinator birds** in a pointfree style programming.
The only way to make sense of function combinators in python would be in a pointfree context.
Lucky for us, there is a [pointfree](https://pypi.org/project/pointfree/)
module that allows us, e.g., to compose functions smoothly and enable partial application of functions and methods.
Pointfree style has a few downsides. I'm afraid this is an unsuccessful attempt to join python pointfree and the
use combinator birds. It is just a matter of time before it becomes an unreadable mess.
## Examples
Let's define a function keephalf, keephalf is a function that return the first half of a list.
```
>>> keephalf([1,2,3,4,5,6,7,8,9,10])
[1, 2, 3, 4, 5]
```
I'll start by defining our own (@pointfree) version of length, integer division and and take,
these functions are going to useful in the making of keephalf.
```python
@pointfree
def pflen(l): return len(l)
@pointfree
def div(a,x): return a // x
@pointfree
def take(n,l): return l[0:n]
```
Although the code below does not look like python I can guarantee you that it is!
In the examples bellow the * symbol means function composition (from the ``pointfree`` module). For the ones wanting to
reach the highest level of bird use, there's a combinator that composes functions: the **bluebird** but for reasons of
readability we'll use * ,for now.
The most intuitive birds to use in the making of keephalf is the **phoenix**.
The phoenix passes a single value through two different functions,
and pass the results to a two-parameter function. We'll also use the **idiot** bird, that is the identity function.
```python
#phoenix x y z w = x (y w) (z w)
#idiot x = x
keephalf = phoenix (take, cardinal (div,2) * pflen, idiot)
```
Let's try different birds now, let's use the **starling** and the **cardinal** .
The starling passes a value straight and also through a function to another function of arity 2, and the
cardinal that swaps the argument order.
```python
#starling = x y z = x z (y z)
#cardinal x y z = x (z y)
keephalf2 = starling (cardinal (take), cardinal (div,2) * pflen)
```
We can also use the **warbler** and the **cardinal__**. The warbler is a elementary duplicator, the cardinal__
pass first argument straight, and second argument through a function,
to a two-parameter function
```python
#cardinal_ x y z w = x (y w) z
#warbler x y = x y y
keephalf3 = warbler (cardinal_ (take , cardinal(div, 2) * pflen))
```
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