It compiles! Store the future and poll it instead of creating multiple new ones

src/stream/mod.rs

@@ -303,6 +303,7 @@
 pub use empty::{empty, Empty};
 pub use from_fn::{from_fn, FromFn};
 pub use from_iter::{from_iter, FromIter};
+pub use successor::{successor, Successor};
 pub use once::{once, Once};
 pub use repeat::{repeat, Repeat};
 pub use repeat_with::{repeat_with, RepeatWith};
@@ -316,6 +317,7 @@ mod from_iter;
 mod once;
 mod repeat;
 mod repeat_with;
+mod successor;
 
 cfg_unstable! {
     mod double_ended_stream;

src/stream/stream/mod.rs

@@ -57,7 +57,6 @@ mod partial_cmp;
 mod position;
 mod scan;
 mod skip;
-mod successor;
 mod skip_while;
 mod step_by;
 mod take;

src/stream/stream/successor.rs

@@ -1,59 +0,0 @@
-use std::pin::Pin;
-use std::marker::PhantomData;
-
-use crate::future::Future;
-use crate::stream::Stream;
-use crate::task::{Context, Poll};
-
-#[derive(Debug)]
-pub struct Successor<F, Fut, T> 
-where Fut: Future<Output=T>
-{
-    successor: F,
-    next: T,
-    _marker: PhantomData<Fut>
-}
-
-pub fn successor<F, Fut, T>(func: F, start: T) -> Successor<F, Fut, T>
-where
-    F: FnMut(T) -> Fut,
-    Fut: Future<Output = T>,
-    T: Copy,
-    {
-        Successor {
-            successor: func,
-            next: start,
-            _marker: PhantomData,
-        }
-    }
-
-impl <F, Fut, T> Successor<F, Fut, T>
-where
-    F: FnMut(T) -> Fut,
-    Fut: Future<Output = T>,
-    T: Copy,
-
-{
-    pin_utils::unsafe_unpinned!(successor: F);
-    pin_utils::unsafe_unpinned!(next: T);
-}
-
-impl <F, Fut, T> Stream for Successor<F, Fut, T>
-where
-    Fut: Future<Output = T>,
-    F: FnMut(T) -> Fut,
-    T: Copy,
-{
-    type Item = T;
-
-    fn poll_next(mut self: Pin<&mut Self>, cx: &mut Context<'_>) -> Poll<Option<Self::Item>> {
-
-        match self.as_mut().successor()(self.next).poll(cx) {
-            Poll::Pending => Poll::Pending,
-            Poll::Ready(val) => {
-                self.next = val;
-                Poll::Ready(Some(val))
-            }
-        }
-    }
-}

src/stream/successor.rs

@@ -0,0 +1,102 @@
+use std::pin::Pin;
+use std::marker::PhantomData;
+
+use crate::future::Future;
+use crate::stream::Stream;
+use crate::task::{Context, Poll};
+
+/// A stream that yields elements by calling an async closure with the previous value as an
+/// argument
+///
+/// This stream is constructed by [`successor`] function
+///
+/// [`successor`]: fn.successor.html
+#[derive(Debug)]
+pub struct Successor<F, Fut, T> 
+where Fut: Future<Output=T>
+{
+    successor: F,
+    future: Option<Fut>,
+    next: T,
+    _marker: PhantomData<Fut>
+}
+
+/// Creates a new stream where to produce each new element a clousre is called with the previous
+/// value.
+///
+/// #Examples
+///
+/// ```
+/// # fn main() { async_std::task::block_on(async {
+/// #
+/// use async_std::prelude::*;
+/// use async_std::stream;
+///
+/// let s = stream::successor(22, |val| {
+///     async move {
+///         val + 1
+///     }
+/// });
+///
+/// pin_utils::pin_mut!(s);
+/// assert_eq!(s.next().await, Some(1));
+/// assert_eq!(s.next().await, Some(2));
+/// assert_eq!(s.next().await, Some(3));
+/// #
+/// # }) }
+///
+/// ```
+pub fn successor<F, Fut, T>(start: T, func: F) -> Successor<F, Fut, T>
+where
+    F: FnMut(T) -> Fut,
+    Fut: Future<Output = T>,
+    T: Copy,
+    {
+        Successor {
+            successor: func,
+            future: None,
+            next: start,
+            _marker: PhantomData,
+        }
+    }
+
+impl <F, Fut, T> Successor<F, Fut, T>
+where
+    F: FnMut(T) -> Fut,
+    Fut: Future<Output = T>,
+    T: Copy,
+
+{
+    pin_utils::unsafe_unpinned!(successor: F);
+    pin_utils::unsafe_unpinned!(next: T);
+    pin_utils::unsafe_pinned!(future: Option<Fut>);
+
+}
+
+impl <F, Fut, T> Stream for Successor<F, Fut, T>
+where
+    Fut: Future<Output = T>,
+    F: FnMut(T) -> Fut,
+    T: Copy,
+{
+    type Item = T;
+
+    fn poll_next(mut self: Pin<&mut Self>, cx: &mut Context<'_>) -> Poll<Option<Self::Item>> {
+        match &self.future {
+            Some(_) => {
+                let next = futures_core::ready!(self.as_mut().future().as_pin_mut().unwrap().poll(cx));
+                self.as_mut().future().set(None);
+
+                Poll::Ready(Some(next))
+            },
+            None => {
+                let x = self.next;
+                let fut = (self.as_mut().successor())(x);
+                self.as_mut().future().set(Some(fut));
+                // Probably can poll the value here?
+                Poll::Pending
+            }
+        }
+    }
+}
+