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Christian Muirhead
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Nov 4, 2015
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#![recursion_limit="2048"] | ||
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use std::marker::PhantomData; | ||
use std::fmt; | ||
use std::fmt::Debug; | ||
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pub struct Z( () ); | ||
pub struct S<T> (PhantomData<T>); | ||
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pub trait Nat { | ||
fn sing() -> Self; | ||
fn get(&self) -> usize; | ||
} | ||
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impl Nat for Z { | ||
fn sing() -> Z { Z( () ) } | ||
#[inline(always)] | ||
fn get(&self) -> usize { | ||
0 | ||
} | ||
} | ||
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impl<T : Nat> Nat for S<T> { | ||
fn sing() -> S<T> { S::<T>( PhantomData::<T> ) } | ||
#[inline(always)] | ||
fn get(&self) -> usize { | ||
let prd : T = Nat::sing(); | ||
1 + prd.get() | ||
} | ||
} | ||
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pub type N0 = Z; | ||
pub type N1 = S<N0>; | ||
pub type N2 = S<N1>; | ||
pub type N3 = S<N2>; | ||
pub type N4 = S<N3>; | ||
pub type N5 = S<N4>; | ||
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pub struct Node<D : Nat>(usize,PhantomData<D>); | ||
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impl<D:Nat> Node<D> { | ||
pub fn push(&self, c : usize) -> Node<S<D>> { | ||
let Node(i,_) = *self; | ||
Node(10*i+c, PhantomData::<S<D>>) | ||
} | ||
} | ||
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impl<D:Nat> Node<S<D>> { | ||
pub fn pop(&self) -> (Node<D>,usize) { | ||
let Node(i,_) = *self; | ||
(Node(i/10, PhantomData::<D>), i-10*(i/10)) | ||
} | ||
} | ||
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impl<D:Nat> Debug for Node<D> { | ||
fn fmt(&self, f : &mut fmt::Formatter) -> fmt::Result { | ||
let s : D = Nat::sing(); | ||
write!(f, "Node<{}>: i= {}", | ||
s.get(), self.0) | ||
} | ||
} | ||
pub trait Step { | ||
fn step(&self, usize) -> Self; | ||
} | ||
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impl Step for Node<N0> { | ||
#[inline(always)] | ||
fn step(&self, n : usize) -> Node<N0> { | ||
println!("base case"); | ||
Node(n,PhantomData::<N0>) | ||
} | ||
} | ||
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impl<D:Nat> Step for Node<S<D>> | ||
where Node<D> : Step { | ||
#[inline(always)] | ||
fn step(&self, n : usize) -> Node<S<D>> { | ||
println!("rec"); | ||
let (par,c) = self.pop(); | ||
let cnew = c+n; | ||
par.step(c).push(cnew) | ||
} | ||
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} | ||
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fn tst<D:Nat>(ref p : &Node<D>, c : usize) -> usize | ||
where Node<D> : Step { | ||
let Node(i,_) = p.step(c); | ||
i | ||
} | ||
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fn main() { | ||
let nd : Node<N3> = Node(555,PhantomData::<N3>); | ||
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// overflow...core::marker::Size | ||
let Node(g,_) = tst(nd,1); | ||
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// ok | ||
//let Node(g,_) = nd.step(1); | ||
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println!("{:?}", g); | ||
} |