monadic 0.4.7

macro to define Haskell style monadic action blocks
Documentation
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# rust-monadic

* [A monad bloc macro based on Bind and Monad as supertraits of IntoIterator (iterables)]#mdo
* [A Reader monad bloc macro]#rdrdo
* [A ReaderT monad transformer bloc macro]#rdrt_mdo
* [A Writer monad bloc macro]#wrdo
* [A State monad bloc macro]#stdo

<a name="mdo" id="mdo"></a>
### The macro mdo! 

A macro to write Haskell style monadic code

for [**IntoIterator**](https://doc.rust-lang.org/std/iter/trait.IntoIterator.html) (iterables) as monads

Each step monad expression is [flat_mapped](https://doc.rust-lang.org/std/iter/trait.Iterator.html#method.flat_map) with the rest into a lazy *FlatMap* expression which implements *IntoIterator* with lambdas as [*move* closures](https://doc.rust-lang.org/1.30.0/book/first-edition/closures.html#move-closures) capturing the environment and argument. The lambda body will be recursively parsed as monadic, and its type should also be an instance of *IntoIterator*.

Aside from the types that implement *IntoIterator*, all iterators also do it as [documented](https://doc.rust-lang.org/stable/core/iter/#for-loops-and-intoiterator).

The traits **Bind** and **Monad** are defined in module *monad* as supertraits of IntoIterator.

Here is a table where a **monadic_expression** is one of a type which must be instance of IntoIterator: 

<table>
<tr><td>* to return an expression value:</td> <th>`pure return_expresion`</th></tr>
<tr><td>* to end with a monadic expr.:</td> <th>`monadic_expression`</th></tr>
<tr><td>* to bind the monad result:</td> <th>`v <- monadic_expression`</th></tr>
<tr><td>* to bind by ref. a by ref. container:</td> <th>`&v <- &container`</th></tr>
<tr><td>* to lift a value and bind it:</td> <th>`v <- pure expression`</th></tr>
<tr><td>* to ignore the monad result:</td> <th>`_ <- monadic_expression`</th></tr>
<tr><td>* to combine monad results:</td> <th>`let z = expression`</th></tr>
<tr><td>* to filter results:</td> <th>`guard boolean_expression`</th></tr>
</table>

Note: *let*, within the macro, introduces only one binding.


Example1: monadic comprehensions à la Haskell (file: examples/comprehension.rs)

```rust
use monadic::{mdo, monad::{Bind, Monad}};
use num::Integer;

fn main() {
    let xs = mdo!{ 
    
        x <- 1..7;
        y <- 1..x;
        guard (&y).is_odd() ;
        let z = match x.is_even() { 
                    true => &y + 1,
                    _ => &y - 1,
                };
        pure (x, z)
        
    }.collect::<Vec<_>>();
    
    println!("result: {:?}", xs); 
}

```
Execution:

```bash
$ cargo run --example comprehension

result: [(2, 2), (3, 0), (4, 2), (4, 4), (5, 0), (5, 2), (6, 2), (6, 4), (6, 6)]
```
Example2: variation with references to container and lambda argument position (file: examples/comprehension2.rs)

```rust
use monadic::{mdo, monad::{Bind, Monad}};
use num::Integer;

fn main() {
    let xs = mdo!{ 
    
        &x <- &vec![1,2,3,4];   // with item ref pattern (&x) in the lambda argument position
        guard x.is_odd() ;
        let z = x + 1 ;
        pure (x, z)
        
    }.collect::<Vec<_>>();
    
    println!("result: {:?}", xs); 
}

```
Execution:

```bash
$ cargo run --example comprehension2

result: [(1, 2), (3, 4)]
```

Example: console io. If you want to return String variables, you may do it through cloning

```rust
// example console io

use monadic::{mdo, monad::{Bind, Monad}, 
                   mio::{read_line, print_str, stdout_flush}};

fn main() {
    let res =mdo!{
    
                x <- pure 1;
                let y = x + 1;
                
                _ <- print_str("enter integer i32>");
                _ <- stdout_flush();
                
                li1 <- read_line();
                z <- li1.trim().parse::<i32>() ;
                
                pure (y, z, li1.clone())
                
              }.collect::<Vec<_>>();

    println!("result: {:?}", res);              
}
```
```bash
$ cargo run --example console_io

enter integer i32>10
result: [(2, 10, "10")]

```

<a name="rdrdo" id="rdrdo"></a>
### The Reader monad macro rdrdo! 

A [Reader monad](https://wiki.haskell.org/All_About_Monads#The_Reader_monad) adaptation macro example

```rust
//! examples/reader1
//!
//! You must specify in a type restriction the type of the environment of the Reader bloc
//!
//! `local` can be used as a function or as a method

use monadic::{rdrdo, reader::{Reader, ask, local}};
use partial_application::partial;
use std::collections::HashMap;

type Env = HashMap<String, i32>;

fn immutable_insert( k_slice: &str, v: i32, dict: Env) -> Env {
   let mut dict1 = dict.clone();
   dict1.insert( String::from(k_slice), v);
   dict1
}

fn my_initial_env() -> Env {
   immutable_insert( "a", 1, HashMap::new())
}   


fn main() {

  let modify_env = partial!(immutable_insert => "b", 2, _);
  
  let bloc1: Reader<'_, Env, _>  = rdrdo!{
  
       env1 <- ask();
       
       // run a subbloc with a modified environment
       pair <- local( modify_env, rdrdo!{ 
       
               x <- pure 9;
               y <- ask();
               pure (x, y)
             }) ;
             
       pure (env1.clone(), pair.0, pair.1)      
    };


  let res = bloc1.initial_env( my_initial_env() );

  println!("result: {:?}", res);  
}
```
Execution:

```bash
$ cargo run --example reader1

result: ({"a": 1}, 9, {"b": 2, "a": 1})
```
<a name="rdrt_mdo" id="rdrt_mdo"></a>
### The ReaderT monad transformer macro rdrt_mdo! 

This monad transformer works only for monads that implement FromIterator, such as Vec, LinkedList and VecDeque.

This macro requires more type annotations.

Let bindings are not supported here. Instead you can use

    v <- lift vec![expression]

Example:
```rust
// examples/reader_trans1

#[allow(unused_imports)]
use monadic::{rdrt_mdo, monad::{Monad}, 
              reader_trans::{ReaderT, lift, ask, local}};
use num::Integer;
use partial_application::partial;
use std::collections::HashMap;

type Env = HashMap<String, i32>;

fn immutable_insert( k_slice: &str, v: i32, dict: Env) -> Env {
   let mut dict1 = dict.clone();
   dict1.insert( String::from(k_slice), v);
   dict1
}

fn my_initial_env() -> Env {
   immutable_insert( "a", 1, HashMap::new())
}   

fn main() {
  let modify_env = partial!(immutable_insert => "b", 2, _);

  // example with Vec as the nested monad
  
  let bloc = rdrt_mdo!{   // possible type restriction as ReaderT<'_, Env, Vec<_>>
  
       env1 <- ask() as ReaderT<'_, Env, Vec<Env>>;
       pair <- local( modify_env, rdrt_mdo!{
       
               x <- lift (5..9).collect::<Vec<i32>>();
               guard x.is_odd();
               
               y <- ask() as ReaderT<'_, Env, Vec<Env>>;
               
               // this acts as a typed `pure` specifying the monad type
               
               lift Vec::pure((x, y))   
             }) ;
             
       // reader type restriction unnecessary ending with lift instead of pure
       
       lift Vec::pure((env1.clone(), pair.0, pair.1))      
    };

  // applying the initial_env() returns the nested monad structure
  
  let res = bloc.initial_env( my_initial_env() );

  println!("result: {:?}", res);  
}
```
Execution:

```bash
$ cargo run --example reader_trans1

result: [({"a": 1}, 5, {"a": 1, "b": 2}), ({"a": 1}, 7, {"a": 1, "b": 2})]
```

<a name="wrdo" id="wrdo"></a>
### The Writer monad macro wrdo! 

A [Writer monad](https://wiki.haskell.org/All_About_Monads#The_Writer_monad) adaptation macro example with String as logger, from examples/writer1.rs

```rust
//! examples/writer1.rs
//!
//! you may set the logger type 
//! by beginning with a `tell...` function within the macro `wrdo` 
//! or by declaring it as the result type 
//! where String is the default if omitted
//! as in `let res : Writer< _, String > = wrdo!{...}`
//!
//! `censor(), listen() and listens()` can be used as functions or as methods of a Writer bloc

#[allow(unused_imports)]
use monadic::{wrdo, writer::{Writer, tell, tell_str, censor, listen}};
use monadic::util::concat_string_str;
use partial_application::partial;

fn main() {
    
    let modify_log = partial!( concat_string_str => _, "log2");
    
    let res : Writer< _, String> = wrdo!{ 
    
        _ <- tell_str( "log1") ;
        
        // run a subbloc and modify the log afterwards
        censor( modify_log,
                   wrdo!{
                        listen( Writer::pure( 2))
                    })
        }.listen() ;
    
    println!("result: {:?}", res.unwrap()); 
}
```
Exec:

```bash
$ cargo run --example writer1

result: ((2, ""), "log1log2")

```
Example 2 with Vec as logger from examples/writer2.rs

```rust
//! examples/writer2.rs
//! 
//! you may set the logger type 
//! by beginning with a `tell...` function within the macro `wrdo` 
//! or by declaring it as the result type 
//! where String is the default if omitted
//! as in `let res : Writer< _, Vec<_> > = wrdo!{...}`
//!
//! `censor(), listen() and listens()` can be used as functions or as methods of a Writer bloc

use monadic::{wrdo, writer::{Writer, tell, censor, listen}};
use monadic::util::concat_vec_array;
use partial_application::partial;


fn main() {

    let modify_log = partial!( concat_vec_array => _, &[4,5,6]);
    
    let res : Writer< _, Vec<_>> = wrdo!{ 
    
        _ <- tell( vec![1,2,3]) ;
        
        // run a subbloc and modify the log afterwards
        censor( modify_log,
                   wrdo!{
                        listen( Writer::pure( 2))
                    })
        }.listen() ;
    
    println!("result: {:?}", res.unwrap()); 
}
```

```bash
$ cargo run --example writer2

result: ((2, []), [1, 2, 3, 4, 5, 6])

```
<a name="stdo" id="stdo"></a>
### The State monad macro stdo! 

A [State monad](https://wiki.haskell.org/All_About_Monads#The_State_monad) adaptation macro example from examples/state1.rs

```rust
//! examples/state1.rs
//!
//! You may specify in a type restriction the type of the State bloc
//! or apply it directly to an initial_state without the type restriction

use monadic::{stdo, state::{State, get, put}};

fn main() {
  let bloc: State<'_, i32, _> = stdo!{
  
       x <- pure 9;
       y <- get();
       _ <- put( 1);
       z <- get(); 
       pure (x, y, z) 
       
    };
    
  let res = bloc.initial_state(0);  

  println!("result: {:?}", res);  
}
```

```bash
$ cargo run --example state1

result: ((9, 0, 1), 1)

```
Some tests:

```bash
$ cargo test
running 1 test
test monad::tests::prop_monad_comprehension_vs_iteration ... ok

test result: ok. 1 passed; 0 failed; 0 ignored; 0 measured; 0 filtered out
```

Changes:

v. 0.4.7: added the ReaderT transformer for monads that implement FromIterator (Vec, LinkedList, VecDeque)

v. 0.4.5 and 0.4.6: doc cleaning

v. 0.4.4: doc cleaning of old intoiter macro refs. Suppressed experimental MonadPlus, which is not ready.

v. 0.4.3: readme typos.

v. 0.4.2: added MonadPlus with **quickcheck** tests

v. 0.4.1: console_io example showing String return through cloning

v. 0.4.0: 
* renamed writer function `censor_do` as censor
* added writer function listen() and listens()
* renamed local_do() as local()
* removed intoiter module as it duplicates functionality without added applicability, use module monad's `mdo` macro instead

v. 0.3.14: added writer function `censor_do`

v. 0.3.13: added reader function `local_do`

v. 0.3.12: example reader1 simplification.

v. 0.3.11: suppressed  the form "&v <- ..." from Writer and State monads.

v. 0.3.10: Added the Reader macro. It runs good over clonable environments e.g. HashMap. 
The State macro has been updated, using a non static lifetime for the boxed closure
           
v. 0.3.9: Added (<-) rhs `pure`.