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#[allow(dead_code)]
use std::rc::Rc;
pub trait Functor {
type Elm;
type M<B>: Functor<Elm = B>;
fn fmap<B, F>(self, f: F) -> Self::M<B>
where
F: Fn(&Self::Elm) -> B;
}
impl<A> Functor for Rc<A> {
type Elm = A;
type M<U> = Rc<U>;
fn fmap<B, F>(self, f: F) -> Self::M<B>
where
F: FnOnce(&Self::Elm) -> B,
{
let v = f(&self);
Rc::new(v)
}
}
impl<A> Functor for Box<A> {
type Elm = A;
type M<U> = Box<U>;
fn fmap<B, F>(self, f: F) -> Self::M<B>
where
F: FnOnce(&Self::Elm) -> B,
{
let v = f(&self);
Box::new(v)
}
}
impl<A> Functor for Option<A> {
type Elm = A;
type M<B> = Option<B>;
fn fmap<B, F>(self, f: F) -> Self::M<B>
where
F: FnOnce(&Self::Elm) -> B,
{
match self {
Some(ref v) => Some(f(v)),
None => None,
}
}
}
impl<A, E> Functor for Result<A, E> {
type Elm = A;
type M<B> = Result<B, E>;
fn fmap<B, F>(self, f: F) -> Self::M<B>
where
F: FnOnce(&Self::Elm) -> B,
{
match self {
Ok(v) => Ok(f(&v)),
Err(e) => Err(e),
}
}
}
impl<A> Functor for Vec<A> {
type Elm = A;
type M<B> = Vec<B>;
fn fmap<B, F>(self, f: F) -> Self::M<B>
where
F: Fn(&Self::Elm) -> B,
{
self.iter().map(f).collect::<Vec<B>>()
}
}
#[cfg(test)]
mod laws {
use functor::Functor;
use std::convert::identity;
#[quickcheck]
fn option_law1(n: Option<i32>) -> bool {
n.fmap(|x| identity(*x)) == n
}
#[quickcheck]
fn option_law2(n: Option<i32>) -> bool {
let f1: fn(&i32) -> i32 = |x| *x * 2;
let f2: fn(&i32) -> i32 = |x| *x + 4;
n.fmap(f1).fmap(f2) == n.fmap(|x| f2(&f1(x)))
}
#[quickcheck]
fn result_law1(n: Result<i32, String>) -> bool {
let expected = n.clone();
n.fmap(|x| identity(*x)) == expected
}
#[quickcheck]
fn result_law2(n: Result<i32, String>) -> bool {
let expected = n.clone();
let f1: fn(&i32) -> i32 = |x| *x * 2;
let f2: fn(&i32) -> i32 = |x| *x + 4;
n.fmap(f1).fmap(f2) == expected.fmap(|x| f2(&f1(x)))
}
#[quickcheck]
fn vec_law1(n: Vec<i32>) -> bool {
let expected = n.clone();
n.fmap(|x| identity(*x)) == expected
}
#[quickcheck]
fn vec_law2(n: Vec<i32>) -> bool {
let expected = n.clone();
let f1: fn(&i32) -> i32 = |x| *x * 2;
let f2: fn(&i32) -> i32 = |x| *x + 4;
n.fmap(f1).fmap(f2) == expected.fmap(|x| f2(&f1(x)))
}
}