diff --git a/croaring/benches/benches.rs b/croaring/benches/benches.rs
index 4f85f34..31638ce 100644
--- a/croaring/benches/benches.rs
+++ b/croaring/benches/benches.rs
@@ -228,7 +228,7 @@ fn random_iter(c: &mut Criterion) {
         // Super simple LCG iterator
         let mut z = 20170705; // seed
         std::iter::from_fn(move || {
-            z = (MULTIPLIER * z) % MODULUS;
+            z = (MULTIPLIER.wrapping_mul(z)) % MODULUS;
             Some(z % MAX)
         })
     };
diff --git a/croaring/src/bitmap/iter.rs b/croaring/src/bitmap/iter.rs
index b65f19e..f9007e6 100644
--- a/croaring/src/bitmap/iter.rs
+++ b/croaring/src/bitmap/iter.rs
@@ -10,7 +10,7 @@ use super::Bitmap;
 ///
 /// A cursor points at a single value in the bitmap, or at a "ghost" position,
 /// either one before the beginning of the bitmap, or one after the end of the bitmap.
-#[derive(Clone)]
+#[derive(Debug, Clone)]
 pub struct BitmapCursor<'a> {
     raw: ffi::roaring_uint32_iterator_t,
     _bitmap: PhantomData<&'a Bitmap>,
@@ -403,7 +403,7 @@ impl<'a> BitmapIterator<'a> {
     /// # print_by_chunks(&Bitmap::of(&[1, 2, 8, 20, 1000]));
     /// ```
     #[inline]
-    #[doc(alias = "roaring_read_uint32_iterator")]
+    #[doc(alias = "roaring_uint32_iterator_read")]
     pub fn next_many(&mut self, dst: &mut [u32]) -> usize {
         self.cursor.read_many(dst)
     }
@@ -432,10 +432,26 @@ impl<'a> BitmapIterator<'a> {
     /// assert_eq!(iter.next(), None);
     /// ```
     #[inline]
-    #[doc(alias = "roaring_move_uint32_iterator_equalorlarger")]
+    #[doc(alias = "roaring_uint32_iterator_move_equalorlarger")]
     pub fn reset_at_or_after(&mut self, val: u32) {
         self.cursor.reset_at_or_after(val);
     }
+
+    /// Peek at the next value to be returned by the iterator (if any), without consuming it
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// use croaring::Bitmap;
+    /// let mut bitmap = Bitmap::of(&[1, 2, 3]);
+    /// let mut iter = bitmap.iter();
+    /// assert_eq!(iter.peek(), Some(1));
+    /// assert_eq!(iter.next(), Some(1));
+    /// ```
+    #[inline]
+    pub fn peek(&self) -> Option<u32> {
+        self.cursor.current()
+    }
 }
 
 impl<'a> Iterator for BitmapIterator<'a> {
@@ -499,12 +515,46 @@ impl Bitmap {
     }
 }
 
+/// Converts this iterator into a cursor
+///
+/// The cursor's current value will be the the item which would have been returned by the next call to `next()`
+/// or one past the end of the bitmap if the iterator is exhausted.
+///
+/// # Examples
+///
+/// ```
+/// use croaring::bitmap::{Bitmap, BitmapCursor};
+/// let mut bitmap = Bitmap::of(&[1, 2, 3]);
+/// let mut iter = bitmap.iter();
+/// assert_eq!(iter.peek(), Some(1));
+/// assert_eq!(iter.next(), Some(1));
+///
+/// assert_eq!(iter.peek(), Some(2));
+/// let mut cursor: BitmapCursor = iter.into();
+/// assert_eq!(cursor.current(), Some(2));
+/// ```
 impl<'a> From<BitmapIterator<'a>> for BitmapCursor<'a> {
     fn from(iterator: BitmapIterator<'a>) -> Self {
         iterator.cursor
     }
 }
 
+/// Converts this cursor into an iterator
+///
+/// The next value returned by the iterator will be the current value of the cursor (if any).
+///
+/// # Examples
+///
+/// ```
+/// use croaring::bitmap::{Bitmap, BitmapIterator};
+///
+/// let mut bitmap = Bitmap::of(&[1, 2, 3]);
+/// let mut cursor = bitmap.cursor();
+/// assert_eq!(cursor.current(), Some(1));
+///
+/// let mut iter = BitmapIterator::from(cursor);
+/// assert_eq!(iter.next(), Some(1));
+/// ```
 impl<'a> From<BitmapCursor<'a>> for BitmapIterator<'a> {
     fn from(cursor: BitmapCursor<'a>) -> Self {
         BitmapIterator { cursor }
diff --git a/croaring/src/bitmap64/iter.rs b/croaring/src/bitmap64/iter.rs
index 3f32287..7b9884b 100644
--- a/croaring/src/bitmap64/iter.rs
+++ b/croaring/src/bitmap64/iter.rs
@@ -381,12 +381,46 @@ impl<'a> Bitmap64Cursor<'a> {
     }
 }
 
+/// Converts this iterator into a cursor
+///
+/// The cursor's current value will be the the item which would have been returned by the next call to `next()`
+/// or one past the end of the bitmap if the iterator is exhausted.
+///
+/// # Examples
+///
+/// ```
+/// use croaring::bitmap64::{Bitmap64, Bitmap64Cursor};
+/// let mut bitmap = Bitmap64::of(&[1, 2, 3]);
+/// let mut iter = bitmap.iter();
+/// assert_eq!(iter.peek(), Some(1));
+/// assert_eq!(iter.next(), Some(1));
+///
+/// assert_eq!(iter.peek(), Some(2));
+/// let mut cursor: Bitmap64Cursor = iter.into();
+/// assert_eq!(cursor.current(), Some(2));
+/// ```
 impl<'a> From<Bitmap64Iterator<'a>> for Bitmap64Cursor<'a> {
     fn from(iter: Bitmap64Iterator<'a>) -> Self {
-        iter.into_cursor()
+        iter.cursor
     }
 }
 
+/// Converts this cursor into an iterator
+///
+/// The next value returned by the iterator will be the current value of the cursor (if any).
+///
+/// # Examples
+///
+/// ```
+/// use croaring::bitmap64::{Bitmap64, Bitmap64Iterator};
+///
+/// let mut bitmap = Bitmap64::of(&[1, 2, 3]);
+/// let mut cursor = bitmap.cursor();
+/// assert_eq!(cursor.current(), Some(1));
+///
+/// let mut iter = Bitmap64Iterator::from(cursor);
+/// assert_eq!(iter.next(), Some(1));
+/// ```
 impl<'a> From<Bitmap64Cursor<'a>> for Bitmap64Iterator<'a> {
     fn from(cursor: Bitmap64Cursor<'a>) -> Self {
         Bitmap64Iterator { cursor }
@@ -418,26 +452,92 @@ impl<'a> Bitmap64Iterator<'a> {
         self.cursor.move_next();
     }
 
-    /// Peek at the next value to be returned by the iterator (if any), without consuming it
+    /// Attempt to read many values from the iterator into `dst`
+    ///
+    /// Returns the number of items read from the iterator, may be `< dst.len()` iff
+    /// the iterator is exhausted or `dst.len() > u64::MAX`.
+    ///
+    /// This can be much more efficient than repeated iteration.
     ///
     /// # Examples
     ///
     /// ```
     /// use croaring::Bitmap64;
-    /// let mut bitmap = Bitmap64::of(&[1, 2, 3]);
+    ///
+    /// let mut bitmap: Bitmap64 = Bitmap64::new();
+    /// bitmap.add_range(0..100);
+    /// bitmap.add(222);
+    /// bitmap.add(555);
+    ///
+    /// let mut buf = [0; 100];
     /// let mut iter = bitmap.iter();
-    /// assert_eq!(iter.peek(), Some(1));
-    /// assert_eq!(iter.next(), Some(1));
+    /// assert_eq!(iter.next_many(&mut buf), 100);
+    /// // Get the first 100 items, from the original range added
+    /// for (i, item) in buf.iter().enumerate() {
+    ///     assert_eq!(*item, i as u32);
+    /// }
+    /// // Calls to next_many() can be interleaved with calls to next()
+    /// assert_eq!(iter.next(), Some(222));
+    /// assert_eq!(iter.next_many(&mut buf), 1);
+    /// assert_eq!(buf[0], 555);
+    ///
+    /// assert_eq!(iter.next(), None);
+    /// assert_eq!(iter.next_many(&mut buf), 0);
+    /// ```
+    ///
+    /// ```
+    /// use croaring::Bitmap64;
+    ///
+    /// fn print_by_chunks(bitmap: &Bitmap64) {
+    ///     let mut buf = [0; 1024];
+    ///     let mut iter = bitmap.iter();
+    ///     loop {
+    ///         let n = iter.next_many(&mut buf);
+    ///         if n == 0 {
+    ///             break;
+    ///         }
+    ///         println!("{:?}", &buf[..n]);
+    ///     }
+    /// }
+    ///
+    /// # print_by_chunks(&Bitmap64::of(&[1, 2, 8, 20, 1000]));
     /// ```
     #[inline]
-    pub fn peek(&self) -> Option<u64> {
-        self.cursor.current()
+    #[doc(alias = "roaring64_iterator_read")]
+    pub fn next_many(&mut self, dst: &mut [u64]) -> usize {
+        self.cursor.read_many(dst)
     }
 
-    /// Converts this iterator into a cursor
+    /// Reset the iterator to the first value `>= val`
+    ///
+    /// This can move the iterator forwards or backwards.
     ///
-    /// The cursor's current value will be the the item which would have been returned by the next call to `next()`
-    /// or one past the end of the bitmap if the iterator is exhausted.
+    /// # Examples
+    /// ```
+    /// use croaring::Bitmap;
+    ///
+    /// let mut bitmap = Bitmap::of(&[0, 1, 100, 1000, u32::MAX]);
+    /// let mut iter = bitmap.iter();
+    /// iter.reset_at_or_after(0);
+    /// assert_eq!(iter.next(), Some(0));
+    /// iter.reset_at_or_after(0);
+    /// assert_eq!(iter.next(), Some(0));
+    ///
+    /// iter.reset_at_or_after(101);
+    /// assert_eq!(iter.next(), Some(1000));
+    /// assert_eq!(iter.next(), Some(u32::MAX));
+    /// assert_eq!(iter.next(), None);
+    /// iter.reset_at_or_after(u32::MAX);
+    /// assert_eq!(iter.next(), Some(u32::MAX));
+    /// assert_eq!(iter.next(), None);
+    /// ```
+    #[inline]
+    #[doc(alias = "roaring64_iterator_move_equalorlarger")]
+    pub fn reset_at_or_after(&mut self, val: u64) {
+        self.cursor.reset_at_or_after(val);
+    }
+
+    /// Peek at the next value to be returned by the iterator (if any), without consuming it
     ///
     /// # Examples
     ///
@@ -447,13 +547,10 @@ impl<'a> Bitmap64Iterator<'a> {
     /// let mut iter = bitmap.iter();
     /// assert_eq!(iter.peek(), Some(1));
     /// assert_eq!(iter.next(), Some(1));
-    ///
-    /// assert_eq!(iter.peek(), Some(2));
-    /// let mut cursor = iter.into_cursor();
-    /// assert_eq!(cursor.current(), Some(2));
     /// ```
-    pub fn into_cursor(self) -> Bitmap64Cursor<'a> {
-        self.cursor
+    #[inline]
+    pub fn peek(&self) -> Option<u64> {
+        self.cursor.current()
     }
 }
 
diff --git a/croaring/tests/lib.rs b/croaring/tests/lib.rs
index da8388f..f0b8fe9 100644
--- a/croaring/tests/lib.rs
+++ b/croaring/tests/lib.rs
@@ -116,7 +116,7 @@ fn empty_cursor() {
 
 #[test]
 fn cursor_return_from_the_edge() {
-    let mut bitmap = Bitmap::from([1, 2, u32::MAX]);
+    let bitmap = Bitmap::from([1, 2, u32::MAX]);
     let mut cursor = bitmap.cursor_to_last();
     assert_eq!(cursor.current(), Some(u32::MAX));
     assert_eq!(cursor.next(), None);