rangemap/

inclusive_map.rs

use super::range_wrapper::RangeInclusiveStartWrapper;
use crate::range_wrapper::RangeInclusiveEndWrapper;
use crate::std_ext::*;
use alloc::collections::BTreeMap;
use core::borrow::Borrow;
use core::cmp::Ordering;
use core::fmt::{self, Debug};
use core::hash::Hash;
use core::iter::{DoubleEndedIterator, FromIterator};
use core::marker::PhantomData;
use core::ops::{RangeFrom, RangeInclusive};
use core::prelude::v1::*;

#[cfg(feature = "serde1")]
use serde::{
    de::{Deserialize, Deserializer, SeqAccess, Visitor},
    ser::{Serialize, Serializer},
};

/// A map whose keys are stored as ranges bounded
/// inclusively below and above `(start..=end)`.
///
/// Contiguous and overlapping ranges that map to the same value
/// are coalesced into a single range.
///
/// Successor and predecessor functions must be provided for
/// the key type `K`, so that we can detect adjacent but non-overlapping
/// (closed) ranges. (This is not a problem for half-open ranges,
/// because adjacent ranges can be detected using equality of range ends alone.)
///
/// You can provide these functions either by implementing the
/// [`StepLite`] trait for your key type `K`, or,
/// if this is impossible because of Rust's "orphan rules",
/// you can provide equivalent free functions using the `StepFnsT` type parameter.
/// [`StepLite`] is implemented for all standard integer types,
/// but not for any third party crate types.
#[derive(Clone)]
pub struct RangeInclusiveMap<K, V, StepFnsT = K> {
    // Wrap ranges so that they are `Ord`.
    // See `range_wrapper.rs` for explanation.
    pub(crate) btm: BTreeMap<RangeInclusiveStartWrapper<K>, V>,
    _phantom: PhantomData<StepFnsT>,
}

impl<K, V, StepFnsT> Default for RangeInclusiveMap<K, V, StepFnsT> {
    fn default() -> Self {
        Self {
            btm: BTreeMap::default(),
            _phantom: PhantomData,
        }
    }
}

impl<K, V, StepFnsT> Hash for RangeInclusiveMap<K, V, StepFnsT>
where
    K: Hash,
    V: Hash,
{
    fn hash<H: core::hash::Hasher>(&self, state: &mut H) {
        state.write_usize(self.btm.len());
        for elt in self.iter() {
            elt.hash(state);
        }
    }
}

impl<K, V, StepFnsT> PartialEq for RangeInclusiveMap<K, V, StepFnsT>
where
    K: PartialEq,
    V: PartialEq,
{
    fn eq(&self, other: &RangeInclusiveMap<K, V, StepFnsT>) -> bool {
        self.iter().eq(other.iter())
    }
}

impl<K, V, StepFnsT> Eq for RangeInclusiveMap<K, V, StepFnsT>
where
    K: Eq,
    V: Eq,
{
}

impl<K, V, StepFnsT> PartialOrd for RangeInclusiveMap<K, V, StepFnsT>
where
    K: PartialOrd,
    V: PartialOrd,
{
    #[inline]
    fn partial_cmp(&self, other: &RangeInclusiveMap<K, V, StepFnsT>) -> Option<Ordering> {
        self.expanded_iter().partial_cmp(other.expanded_iter())
    }
}

impl<K, V, StepFnsT> Ord for RangeInclusiveMap<K, V, StepFnsT>
where
    K: Ord,
    V: Ord,
{
    #[inline]
    fn cmp(&self, other: &RangeInclusiveMap<K, V, StepFnsT>) -> Ordering {
        self.expanded_iter().cmp(other.expanded_iter())
    }
}

#[cfg(feature = "quickcheck")]
impl<K, V> quickcheck::Arbitrary for RangeInclusiveMap<K, V>
where
    K: quickcheck::Arbitrary + Ord + StepLite,
    V: quickcheck::Arbitrary + PartialEq,
{
    fn arbitrary(g: &mut quickcheck::Gen) -> Self {
        // REVISIT: allocation could be avoided if Gen::gen_size were public (https://github.com/BurntSushi/quickcheck/issues/326#issue-2653601170)
        <alloc::vec::Vec<(RangeInclusive<_>, _)>>::arbitrary(g)
            .into_iter()
            .filter(|(range, _)| !range.is_empty())
            .collect()
    }
}

impl<K, V, StepFnsT> RangeInclusiveMap<K, V, StepFnsT> {
    /// Gets an iterator over all pairs of key range and value,
    /// ordered by key range.
    ///
    /// The iterator element type is `(&'a RangeInclusive<K>, &'a V)`.
    pub fn iter(&self) -> Iter<'_, K, V> {
        Iter {
            inner: self.btm.iter(),
        }
    }

    // Iterate pairs of (range start, range end, value) for comparisons.
    fn expanded_iter(&self) -> impl Iterator<Item = (&K, &K, &V)> {
        self.btm.iter().map(|(k, v)| (k.start(), k.end(), v))
    }
}

impl<K, V> RangeInclusiveMap<K, V, K>
where
    K: Ord + Clone + StepLite,
    V: PartialEq + Clone,
{
    /// Makes a new empty `RangeInclusiveMap`.
    #[cfg(feature = "const_fn")]
    pub const fn new() -> Self {
        Self::new_with_step_fns()
    }

    /// Makes a new empty `RangeInclusiveMap`.
    #[cfg(not(feature = "const_fn"))]
    pub fn new() -> Self {
        Self::new_with_step_fns()
    }
}

impl<K, V, StepFnsT> RangeInclusiveMap<K, V, StepFnsT>
where
    K: Ord + Clone,
    V: PartialEq + Clone,
    StepFnsT: StepFns<K>,
{
    /// Makes a new empty `RangeInclusiveMap`, specifying successor and
    /// predecessor functions defined separately from `K` itself.
    ///
    /// This is useful as a workaround for Rust's "orphan rules",
    /// which prevent you from implementing `StepLite` for `K` if `K`
    /// is a foreign type.
    ///
    /// **NOTE:** This will likely be deprecated and then eventually
    /// removed once the standard library's [Step](core::iter::Step)
    /// trait is stabilised, as most crates will then likely implement [Step](core::iter::Step)
    /// for their types where appropriate.
    ///
    /// See [this issue](https://github.com/rust-lang/rust/issues/42168)
    /// for details about that stabilization process.
    #[cfg(not(feature = "const_fn"))]
    pub fn new_with_step_fns() -> Self {
        Self {
            btm: BTreeMap::new(),
            _phantom: PhantomData,
        }
    }

    #[cfg(feature = "const_fn")]
    pub const fn new_with_step_fns() -> Self {
        Self {
            btm: BTreeMap::new(),
            _phantom: PhantomData,
        }
    }
    /// Returns a reference to the value corresponding to the given key,
    /// if the key is covered by any range in the map.
    pub fn get(&self, key: &K) -> Option<&V> {
        self.get_key_value(key).map(|(_range, value)| value)
    }

    /// Returns the range-value pair (as a pair of references) corresponding
    /// to the given key, if the key is covered by any range in the map.
    pub fn get_key_value(&self, key: &K) -> Option<(&RangeInclusive<K>, &V)> {
        use core::ops::Bound;

        // The only stored range that could contain the given key is the
        // last stored range whose start is less than or equal to this key.
        let key_as_start = RangeInclusiveStartWrapper::new(key.clone()..=key.clone());
        self.btm
            .range((Bound::Unbounded, Bound::Included(key_as_start)))
            .next_back()
            .filter(|(range_start_wrapper, _value)| {
                // Does the only candidate range contain
                // the requested key?
                range_start_wrapper.contains(key)
            })
            .map(|(range_start_wrapper, value)| (&range_start_wrapper.range, value))
    }

    /// Returns `true` if any range in the map covers the specified key.
    pub fn contains_key(&self, key: &K) -> bool {
        self.get(key).is_some()
    }

    /// Clears the map, removing all elements.
    pub fn clear(&mut self) {
        self.btm.clear();
    }

    /// Returns the number of elements in the map.
    pub fn len(&self) -> usize {
        self.btm.len()
    }

    /// Returns true if the map contains no elements.
    pub fn is_empty(&self) -> bool {
        self.btm.is_empty()
    }

    /// Insert a pair of key range and value into the map.
    ///
    /// If the inserted range partially or completely overlaps any
    /// existing range in the map, then the existing range (or ranges) will be
    /// partially or completely replaced by the inserted range.
    ///
    /// If the inserted range either overlaps or is immediately adjacent
    /// any existing range _mapping to the same value_, then the ranges
    /// will be coalesced into a single contiguous range.
    ///
    /// # Panics
    ///
    /// Panics if range `start > end`.
    pub fn insert(&mut self, range: RangeInclusive<K>, value: V) {
        use core::ops::Bound;

        // Backwards ranges don't make sense.
        // `RangeInclusive` doesn't enforce this,
        // and we don't want weird explosions further down
        // if someone gives us such a range.
        assert!(
            range.start() <= range.end(),
            "Range start can not be after range end"
        );

        // Wrap up the given range so that we can "borrow"
        // it as a wrapper reference to either its start or end.
        // See `range_wrapper.rs` for explanation of these hacks.
        let mut new_range_start_wrapper: RangeInclusiveStartWrapper<K> =
            RangeInclusiveStartWrapper::new(range);
        let new_value = value;

        // Is there a stored range either overlapping the start of
        // the range to insert or immediately preceding it?
        //
        // If there is any such stored range, it will be the last
        // whose start is less than or equal to _one less than_
        // the start of the range to insert, or the one before that
        // if both of the above cases exist.
        let mut candidates = self
            .btm
            .range::<RangeInclusiveStartWrapper<K>, (
                Bound<&RangeInclusiveStartWrapper<K>>,
                Bound<&RangeInclusiveStartWrapper<K>>,
            )>((Bound::Unbounded, Bound::Included(&new_range_start_wrapper)))
            .rev()
            .take(2)
            .filter(|(stored_range_start_wrapper, _stored_value)| {
                // Does the candidate range either overlap
                // or immediately precede the range to insert?
                // (Remember that it might actually cover the _whole_
                // range to insert and then some.)
                stored_range_start_wrapper
                    .touches::<StepFnsT>(&new_range_start_wrapper.end_wrapper.range)
            });
        if let Some(mut candidate) = candidates.next() {
            // Or the one before it if both cases described above exist.
            if let Some(another_candidate) = candidates.next() {
                candidate = another_candidate;
            }
            let (stored_range_start_wrapper, stored_value) =
                (candidate.0.clone(), candidate.1.clone());
            self.adjust_touching_ranges_for_insert(
                stored_range_start_wrapper,
                stored_value,
                &mut new_range_start_wrapper.end_wrapper.range,
                &new_value,
            );
        }

        // Are there any stored ranges whose heads overlap or immediately
        // follow the range to insert?
        //
        // If there are any such stored ranges (that weren't already caught above),
        // their starts will fall somewhere after the start of the range to insert,
        // and on, before, or _immediately after_ its end. To handle that last case
        // without risking arithmetic overflow, we'll consider _one more_ stored item past
        // the end of the end of the range to insert.
        //
        // REVISIT: Possible micro-optimisation: `impl Borrow<T> for RangeInclusiveStartWrapper<T>`
        // and use that to search here, to avoid constructing another `RangeInclusiveStartWrapper`.
        let second_last_possible_start = new_range_start_wrapper.end().clone();
        let second_last_possible_start = RangeInclusiveStartWrapper::new(
            second_last_possible_start.clone()..=second_last_possible_start,
        );
        while let Some((stored_range_start_wrapper, stored_value)) = self
            .btm
            .range::<RangeInclusiveStartWrapper<K>, (
                Bound<&RangeInclusiveStartWrapper<K>>,
                Bound<&RangeInclusiveStartWrapper<K>>,
            )>((
                Bound::Included(&new_range_start_wrapper),
                // We would use something like `Bound::Included(&last_possible_start)`,
                // but making `last_possible_start` might cause arithmetic overflow;
                // instead decide inside the loop whether we've gone too far and break.
                Bound::Unbounded,
            ))
            .next()
        {
            // A couple of extra exceptions are needed at the
            // end of the subset of stored ranges we want to consider,
            // in part because we use `Bound::Unbounded` above.
            // (See comments up there, and in the individual cases below.)
            let stored_start = stored_range_start_wrapper.start();
            if *stored_start > *second_last_possible_start.start() {
                let latest_possible_start = StepFnsT::add_one(second_last_possible_start.start());
                if *stored_start > latest_possible_start {
                    // We're beyond the last stored range that could be relevant.
                    // Avoid wasting time on irrelevant ranges, or even worse, looping forever.
                    // (`adjust_touching_ranges_for_insert` below assumes that the given range
                    // is relevant, and behaves very poorly if it is handed a range that it
                    // shouldn't be touching.)
                    break;
                }

                if *stored_start == latest_possible_start && *stored_value != new_value {
                    // We are looking at the last stored range that could be relevant,
                    // but it has a different value, so we don't want to merge with it.
                    // We must explicitly break here as well, because `adjust_touching_ranges_for_insert`
                    // below assumes that the given range is relevant, and behaves very poorly if it
                    // is handed a range that it shouldn't be touching.
                    break;
                }
            }

            let stored_range_start_wrapper = stored_range_start_wrapper.clone();
            let stored_value = stored_value.clone();

            self.adjust_touching_ranges_for_insert(
                stored_range_start_wrapper,
                stored_value,
                &mut new_range_start_wrapper.end_wrapper.range,
                &new_value,
            );
        }

        // Insert the (possibly expanded) new range, and we're done!
        self.btm.insert(new_range_start_wrapper, new_value);
    }

    /// Removes a range from the map, if all or any of it was present.
    ///
    /// If the range to be removed _partially_ overlaps any ranges
    /// in the map, then those ranges will be contracted to no
    /// longer cover the removed range.
    ///
    ///
    /// # Panics
    ///
    /// Panics if range `start > end`.
    pub fn remove(&mut self, range: RangeInclusive<K>) {
        use core::ops::Bound;

        // Backwards ranges don't make sense.
        // `RangeInclusive` doesn't enforce this,
        // and we don't want weird explosions further down
        // if someone gives us such a range.
        assert!(
            range.start() <= range.end(),
            "Range start can not be after range end"
        );

        let range_start_wrapper: RangeInclusiveStartWrapper<K> =
            RangeInclusiveStartWrapper::new(range);
        let range = &range_start_wrapper.range;

        // Is there a stored range overlapping the start of
        // the range to insert?
        //
        // If there is any such stored range, it will be the last
        // whose start is less than or equal to the start of the range to insert.
        if let Some((stored_range_start_wrapper, stored_value)) = self
            .btm
            .range::<RangeInclusiveStartWrapper<K>, (
                Bound<&RangeInclusiveStartWrapper<K>>,
                Bound<&RangeInclusiveStartWrapper<K>>,
            )>((Bound::Unbounded, Bound::Included(&range_start_wrapper)))
            .next_back()
            .filter(|(stored_range_start_wrapper, _stored_value)| {
                // Does the only candidate range overlap
                // the range to insert?
                stored_range_start_wrapper.overlaps(range)
            })
            .map(|(stored_range_start_wrapper, stored_value)| {
                (stored_range_start_wrapper.clone(), stored_value.clone())
            })
        {
            self.adjust_overlapping_ranges_for_remove(
                stored_range_start_wrapper,
                stored_value,
                range,
            );
        }

        // Are there any stored ranges whose heads overlap the range to insert?
        //
        // If there are any such stored ranges (that weren't already caught above),
        // their starts will fall somewhere after the start of the range to insert,
        // and on or before its end.
        //
        // REVISIT: Possible micro-optimisation: `impl Borrow<T> for RangeInclusiveStartWrapper<T>`
        // and use that to search here, to avoid constructing another `RangeInclusiveStartWrapper`.
        let new_range_end_as_start =
            RangeInclusiveStartWrapper::new(range.end().clone()..=range.end().clone());
        while let Some((stored_range_start_wrapper, stored_value)) = self
            .btm
            .range::<RangeInclusiveStartWrapper<K>, (
                Bound<&RangeInclusiveStartWrapper<K>>,
                Bound<&RangeInclusiveStartWrapper<K>>,
            )>((
                Bound::Excluded(&range_start_wrapper),
                Bound::Included(&new_range_end_as_start),
            ))
            .next()
            .map(|(stored_range_start_wrapper, stored_value)| {
                (stored_range_start_wrapper.clone(), stored_value.clone())
            })
        {
            self.adjust_overlapping_ranges_for_remove(
                stored_range_start_wrapper,
                stored_value,
                range,
            );
        }
    }

    fn adjust_touching_ranges_for_insert(
        &mut self,
        stored_range_start_wrapper: RangeInclusiveStartWrapper<K>,
        stored_value: V,
        new_range: &mut RangeInclusive<K>,
        new_value: &V,
    ) {
        use core::cmp::{max, min};

        if stored_value == *new_value {
            // The ranges have the same value, so we can "adopt"
            // the stored range.
            //
            // This means that no matter how big or where the stored range is,
            // we will expand the new range's bounds to subsume it,
            // and then delete the stored range.
            let new_start = min(new_range.start(), stored_range_start_wrapper.start()).clone();
            let new_end = max(new_range.end(), stored_range_start_wrapper.end()).clone();
            *new_range = new_start..=new_end;
            self.btm.remove(&stored_range_start_wrapper);
        } else {
            // The ranges have different values.
            if new_range.overlaps(&stored_range_start_wrapper.range) {
                // The ranges overlap. This is a little bit more complicated.
                // Delete the stored range, and then add back between
                // 0 and 2 subranges at the ends of the range to insert.
                self.btm.remove(&stored_range_start_wrapper);
                if stored_range_start_wrapper.start() < new_range.start() {
                    // Insert the piece left of the range to insert.
                    self.btm.insert(
                        RangeInclusiveStartWrapper::new(
                            stored_range_start_wrapper.start().clone()
                                ..=StepFnsT::sub_one(new_range.start()),
                        ),
                        stored_value.clone(),
                    );
                }
                if stored_range_start_wrapper.end() > new_range.end() {
                    // Insert the piece right of the range to insert.
                    self.btm.insert(
                        RangeInclusiveStartWrapper::new(
                            StepFnsT::add_one(new_range.end())
                                ..=stored_range_start_wrapper.end().clone(),
                        ),
                        stored_value,
                    );
                }
            } else {
                // No-op; they're not overlapping,
                // so we can just keep both ranges as they are.
            }
        }
    }

    fn adjust_overlapping_ranges_for_remove(
        &mut self,
        stored_range_start_wrapper: RangeInclusiveStartWrapper<K>,
        stored_value: V,
        range_to_remove: &RangeInclusive<K>,
    ) {
        // Delete the stored range, and then add back between
        // 0 and 2 subranges at the ends of the range to insert.
        self.btm.remove(&stored_range_start_wrapper);
        let stored_range = stored_range_start_wrapper.end_wrapper.range;
        if stored_range.start() < range_to_remove.start() {
            // Insert the piece left of the range to insert.
            self.btm.insert(
                RangeInclusiveStartWrapper::new(
                    stored_range.start().clone()..=StepFnsT::sub_one(range_to_remove.start()),
                ),
                stored_value.clone(),
            );
        }
        if stored_range.end() > range_to_remove.end() {
            // Insert the piece right of the range to insert.
            self.btm.insert(
                RangeInclusiveStartWrapper::new(
                    StepFnsT::add_one(range_to_remove.end())..=stored_range.end().clone(),
                ),
                stored_value,
            );
        }
    }

    /// Gets an iterator over all the maximally-sized ranges
    /// contained in `outer_range` that are not covered by
    /// any range stored in the map.
    ///
    /// The iterator element type is `RangeInclusive<K>`.
    pub fn gaps<'a>(&'a self, outer_range: &'a RangeInclusive<K>) -> Gaps<'a, K, V, StepFnsT> {
        let overlap_iter = self.overlapping(outer_range);
        Gaps {
            candidate_needs_plus_one: false,
            candidate_start: outer_range.start(),
            query_end: outer_range.end(),
            btm_range_iter: overlap_iter.btm_range_iter,
            // We'll start the candidate range at the start of the outer range
            // without checking what's there. Each time we yield an item,
            // we'll skip any ranges we find before the next gap.
            _phantom: PhantomData,
        }
    }

    /// Gets an iterator over all the stored ranges that are
    /// either partially or completely overlapped by the given range.
    pub fn overlapping<R: Borrow<RangeInclusive<K>>>(
        &'_ self,
        range: R,
    ) -> Overlapping<'_, K, V, R> {
        // Find the first matching stored range by its _end_,
        // using sneaky layering and `Borrow` implementation. (See `range_wrappers` module.)
        let start_sliver = RangeInclusiveEndWrapper::new(
            range.borrow().start().clone()..=range.borrow().start().clone(),
        );
        let btm_range_iter = self
            .btm
            .range::<RangeInclusiveEndWrapper<K>, RangeFrom<&RangeInclusiveEndWrapper<K>>>(
                &start_sliver..,
            );
        Overlapping {
            query_range: range,
            btm_range_iter,
        }
    }

    /// Returns `true` if any range in the map completely or partially
    /// overlaps the given range.
    pub fn overlaps(&self, range: &RangeInclusive<K>) -> bool {
        self.overlapping(range).next().is_some()
    }

    /// Returns the first range-value pair in this map, if one exists. The range in this pair is the
    /// minimum range in the map.
    pub fn first_range_value(&self) -> Option<(&RangeInclusive<K>, &V)> {
        self.btm
            .first_key_value()
            .map(|(range, value)| (&range.end_wrapper.range, value))
    }

    /// Returns the last range-value pair in this map, if one exists. The range in this pair is the
    /// maximum range in the map.
    pub fn last_range_value(&self) -> Option<(&RangeInclusive<K>, &V)> {
        self.btm
            .last_key_value()
            .map(|(range, value)| (&range.end_wrapper.range, value))
    }
}

/// An iterator over the entries of a `RangeInclusiveMap`, ordered by key range.
///
/// The iterator element type is `(&'a RangeInclusive<K>, &'a V)`.
///
/// This `struct` is created by the [`iter`] method on [`RangeInclusiveMap`]. See its
/// documentation for more.
///
/// [`iter`]: RangeInclusiveMap::iter
pub struct Iter<'a, K, V> {
    inner: alloc::collections::btree_map::Iter<'a, RangeInclusiveStartWrapper<K>, V>,
}

impl<'a, K, V> Iterator for Iter<'a, K, V>
where
    K: 'a,
    V: 'a,
{
    type Item = (&'a RangeInclusive<K>, &'a V);

    fn next(&mut self) -> Option<Self::Item> {
        self.inner.next().map(|(by_start, v)| (&by_start.range, v))
    }

    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}

impl<'a, K, V> DoubleEndedIterator for Iter<'a, K, V>
where
    K: 'a,
    V: 'a,
{
    fn next_back(&mut self) -> Option<Self::Item> {
        self.inner
            .next_back()
            .map(|(range, value)| (&range.end_wrapper.range, value))
    }
}

/// An owning iterator over the entries of a `RangeInclusiveMap`, ordered by key range.
///
/// The iterator element type is `(RangeInclusive<K>, V)`.
///
/// This `struct` is created by the [`into_iter`] method on [`RangeInclusiveMap`]
/// (provided by the `IntoIterator` trait). See its documentation for more.
///
/// [`into_iter`]: IntoIterator::into_iter
pub struct IntoIter<K, V> {
    inner: alloc::collections::btree_map::IntoIter<RangeInclusiveStartWrapper<K>, V>,
}

impl<K, V> IntoIterator for RangeInclusiveMap<K, V> {
    type Item = (RangeInclusive<K>, V);
    type IntoIter = IntoIter<K, V>;
    fn into_iter(self) -> Self::IntoIter {
        IntoIter {
            inner: self.btm.into_iter(),
        }
    }
}

impl<K, V> Iterator for IntoIter<K, V> {
    type Item = (RangeInclusive<K>, V);
    fn next(&mut self) -> Option<(RangeInclusive<K>, V)> {
        self.inner
            .next()
            .map(|(by_start, v)| (by_start.end_wrapper.range, v))
    }
    fn size_hint(&self) -> (usize, Option<usize>) {
        self.inner.size_hint()
    }
}

impl<K, V> DoubleEndedIterator for IntoIter<K, V> {
    fn next_back(&mut self) -> Option<Self::Item> {
        self.inner
            .next_back()
            .map(|(range, value)| (range.end_wrapper.range, value))
    }
}

// We can't just derive this automatically, because that would
// expose irrelevant (and private) implementation details.
// Instead implement it in the same way that the underlying BTreeMap does.
impl<K: Debug, V: Debug> Debug for RangeInclusiveMap<K, V>
where
    K: Ord + Clone + StepLite,
    V: PartialEq + Clone,
{
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.debug_map().entries(self.iter()).finish()
    }
}

impl<K, V> FromIterator<(RangeInclusive<K>, V)> for RangeInclusiveMap<K, V>
where
    K: Ord + Clone + StepLite,
    V: PartialEq + Clone,
{
    fn from_iter<T: IntoIterator<Item = (RangeInclusive<K>, V)>>(iter: T) -> Self {
        let mut range_map = RangeInclusiveMap::new();
        range_map.extend(iter);
        range_map
    }
}

impl<K, V> Extend<(RangeInclusive<K>, V)> for RangeInclusiveMap<K, V>
where
    K: Ord + Clone + StepLite,
    V: PartialEq + Clone,
{
    fn extend<T: IntoIterator<Item = (RangeInclusive<K>, V)>>(&mut self, iter: T) {
        iter.into_iter().for_each(move |(k, v)| {
            self.insert(k, v);
        })
    }
}

#[cfg(feature = "serde1")]
impl<K, V> Serialize for RangeInclusiveMap<K, V>
where
    K: Ord + Clone + StepLite + Serialize,
    V: PartialEq + Clone + Serialize,
{
    fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
    where
        S: Serializer,
    {
        use serde::ser::SerializeSeq;
        let mut seq = serializer.serialize_seq(Some(self.btm.len()))?;
        for (k, v) in self.iter() {
            seq.serialize_element(&((k.start(), k.end()), &v))?;
        }
        seq.end()
    }
}

#[cfg(feature = "serde1")]
impl<'de, K, V> Deserialize<'de> for RangeInclusiveMap<K, V>
where
    K: Ord + Clone + StepLite + Deserialize<'de>,
    V: PartialEq + Clone + Deserialize<'de>,
{
    fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
    where
        D: Deserializer<'de>,
    {
        deserializer.deserialize_seq(RangeInclusiveMapVisitor::new())
    }
}

#[cfg(feature = "serde1")]
struct RangeInclusiveMapVisitor<K, V> {
    marker: PhantomData<fn() -> RangeInclusiveMap<K, V>>,
}

#[cfg(feature = "serde1")]
impl<K, V> RangeInclusiveMapVisitor<K, V> {
    fn new() -> Self {
        RangeInclusiveMapVisitor {
            marker: PhantomData,
        }
    }
}

#[cfg(feature = "serde1")]
impl<'de, K, V> Visitor<'de> for RangeInclusiveMapVisitor<K, V>
where
    K: Ord + Clone + StepLite + Deserialize<'de>,
    V: PartialEq + Clone + Deserialize<'de>,
{
    type Value = RangeInclusiveMap<K, V>;

    fn expecting(&self, formatter: &mut fmt::Formatter) -> fmt::Result {
        formatter.write_str("RangeInclusiveMap")
    }

    fn visit_seq<A>(self, mut access: A) -> Result<Self::Value, A::Error>
    where
        A: SeqAccess<'de>,
    {
        let mut range_inclusive_map = RangeInclusiveMap::new();
        while let Some(((start, end), value)) = access.next_element()? {
            range_inclusive_map.insert(start..=end, value);
        }
        Ok(range_inclusive_map)
    }
}

/// An iterator over all ranges not covered by a `RangeInclusiveMap`.
///
/// The iterator element type is `RangeInclusive<K>`.
///
/// This `struct` is created by the [`gaps`] method on [`RangeInclusiveMap`]. See its
/// documentation for more.
///
/// [`gaps`]: RangeInclusiveMap::gaps
pub struct Gaps<'a, K, V, StepFnsT> {
    /// Would be redundant, but we need an extra flag to
    /// avoid overflowing when dealing with inclusive ranges.
    ///
    /// All other things here are ignored if `done` is `true`.
    candidate_needs_plus_one: bool,
    candidate_start: &'a K,
    query_end: &'a K,
    btm_range_iter: alloc::collections::btree_map::Range<'a, RangeInclusiveStartWrapper<K>, V>,
    _phantom: PhantomData<StepFnsT>,
}

// `Gaps` is always fused. (See definition of `next` below.)
impl<'a, K, V, StepFnsT> core::iter::FusedIterator for Gaps<'a, K, V, StepFnsT>
where
    K: Ord + Clone,
    StepFnsT: StepFns<K>,
{
}

impl<'a, K, V, StepFnsT> Iterator for Gaps<'a, K, V, StepFnsT>
where
    K: Ord + Clone,
    StepFnsT: StepFns<K>,
{
    type Item = RangeInclusive<K>;

    fn next(&mut self) -> Option<Self::Item> {
        for overlap in self.btm_range_iter.by_ref() {
            let overlap = overlap.0;

            // If the range in the map has advanced beyond the query range, return
            // any tail gap.
            if *self.query_end < *overlap.start() {
                break;
            }

            let candidate_needs_plus_one =
                core::mem::replace(&mut self.candidate_needs_plus_one, true);

            let cur_candidate_start = core::mem::replace(&mut self.candidate_start, overlap.end());

            let cur_candidate_start = if candidate_needs_plus_one {
                StepFnsT::add_one(cur_candidate_start)
            } else {
                cur_candidate_start.clone()
            };

            if cur_candidate_start < *overlap.start() {
                let gap = cur_candidate_start..=StepFnsT::sub_one(overlap.start());
                return Some(gap);
            }
        }

        // Now that we've run out of items, the only other possible
        // gap is one at the end of the outer range.
        let candidate_needs_plus_one = core::mem::replace(&mut self.candidate_needs_plus_one, true);

        let cur_candidate_start = core::mem::replace(&mut self.candidate_start, self.query_end);
        if candidate_needs_plus_one {
            if *cur_candidate_start < *self.query_end {
                return Some(StepFnsT::add_one(cur_candidate_start)..=self.query_end.clone());
            }
        } else if *cur_candidate_start <= *self.query_end {
            // There's a gap at the end!
            return Some(cur_candidate_start.clone()..=self.query_end.clone());
        }

        None
    }
}

/// An iterator over all stored ranges partially or completely
/// overlapped by a given range.
///
/// The iterator element type is `(&'a RangeInclusive<K>, &'a V)`.
///
/// This `struct` is created by the [`overlapping`] method on [`RangeInclusiveMap`]. See its
/// documentation for more.
///
/// [`overlapping`]: RangeInclusiveMap::overlapping
pub struct Overlapping<'a, K, V, R: Borrow<RangeInclusive<K>> = &'a RangeInclusive<K>> {
    query_range: R,
    btm_range_iter: alloc::collections::btree_map::Range<'a, RangeInclusiveStartWrapper<K>, V>,
}

// `Overlapping` is always fused. (See definition of `next` below.)
impl<'a, K, V, R: Borrow<RangeInclusive<K>>> core::iter::FusedIterator for Overlapping<'a, K, V, R> where
    K: Ord + Clone
{
}

impl<'a, K, V, R: Borrow<RangeInclusive<K>>> Iterator for Overlapping<'a, K, V, R>
where
    K: Ord + Clone,
{
    type Item = (&'a RangeInclusive<K>, &'a V);

    fn next(&mut self) -> Option<Self::Item> {
        if let Some((k, v)) = self.btm_range_iter.next() {
            if k.start() <= self.query_range.borrow().end() {
                Some((&k.range, v))
            } else {
                // The rest of the items in the underlying iterator
                // are past the query range. We can keep taking items
                // from that iterator and this will remain true,
                // so this is enough to make the iterator fused.
                None
            }
        } else {
            None
        }
    }
}

impl<'a, K, V, R: Borrow<RangeInclusive<K>>> DoubleEndedIterator for Overlapping<'a, K, V, R>
where
    K: Ord + Clone,
{
    fn next_back(&mut self) -> Option<Self::Item> {
        while let Some((k, v)) = self.btm_range_iter.next_back() {
            if k.start() <= self.query_range.borrow().end() {
                return Some((&k.range, v));
            }
        }

        None
    }
}

impl<K: Ord + Clone + StepLite, V: Eq + Clone, const N: usize> From<[(RangeInclusive<K>, V); N]>
    for RangeInclusiveMap<K, V>
{
    fn from(value: [(RangeInclusive<K>, V); N]) -> Self {
        let mut map = Self::new();
        for (range, value) in IntoIterator::into_iter(value) {
            map.insert(range, value);
        }
        map
    }
}

/// Create a [`RangeInclusiveMap`] from key-value pairs.
///
/// # Example
///
/// ```rust
/// # use rangemap::range_inclusive_map;
/// let map = range_inclusive_map!{
///     0..=100 => "abc",
///     100..=200 => "def",
///     200..=300 => "ghi"
/// };
/// ```
#[macro_export]
macro_rules! range_inclusive_map {
    ($($k:expr => $v:expr),* $(,)?) => {{
        $crate::RangeInclusiveMap::from([$(($k, $v)),*])
    }};
}

#[cfg(test)]
mod tests {
    use super::*;
    use alloc as std;
    use alloc::{format, string::String, vec, vec::Vec};
    use proptest::prelude::*;
    use test_strategy::proptest;

    impl<K, V> Arbitrary for RangeInclusiveMap<K, V>
    where
        K: Ord + Clone + Debug + StepLite + Arbitrary + 'static,
        V: Clone + PartialEq + Arbitrary + 'static,
    {
        type Parameters = ();
        type Strategy = BoxedStrategy<Self>;

        fn arbitrary_with(_parameters: Self::Parameters) -> Self::Strategy {
            any::<Vec<(RangeInclusive<K>, V)>>()
                .prop_map(|ranges| ranges.into_iter().collect::<RangeInclusiveMap<K, V>>())
                .boxed()
        }
    }

    #[proptest]
    #[allow(clippy::len_zero)]
    fn test_len(mut map: RangeInclusiveMap<u64, String>) {
        assert_eq!(map.len(), map.iter().count());
        assert_eq!(map.is_empty(), map.len() == 0);
        map.clear();
        assert_eq!(map.len(), 0);
        assert!(map.is_empty());
        assert_eq!(map.iter().count(), 0);
    }

    #[proptest]
    fn test_first(set: RangeInclusiveMap<u64, String>) {
        assert_eq!(
            set.first_range_value(),
            set.iter().min_by_key(|(range, _)| range.start())
        );
    }

    #[proptest]
    fn test_last(set: RangeInclusiveMap<u64, String>) {
        assert_eq!(
            set.last_range_value(),
            set.iter().max_by_key(|(range, _)| range.end())
        );
    }

    #[proptest]
    fn test_iter_reversible(set: RangeInclusiveMap<u64, String>) {
        let forward: Vec<_> = set.iter().collect();
        let mut backward: Vec<_> = set.iter().rev().collect();
        backward.reverse();
        assert_eq!(forward, backward);
    }

    #[proptest]
    fn test_into_iter_reversible(set: RangeInclusiveMap<u64, String>) {
        let forward: Vec<_> = set.clone().into_iter().collect();
        let mut backward: Vec<_> = set.into_iter().rev().collect();
        backward.reverse();
        assert_eq!(forward, backward);
    }

    #[proptest]
    fn test_overlapping_reversible(
        set: RangeInclusiveMap<u64, String>,
        range: RangeInclusive<u64>,
    ) {
        let forward: Vec<_> = set.overlapping(&range).collect();
        let mut backward: Vec<_> = set.overlapping(&range).rev().collect();
        backward.reverse();
        assert_eq!(forward, backward);
    }

    #[proptest]
    fn test_arbitrary_map_u8(ranges: Vec<(RangeInclusive<u8>, String)>) {
        let ranges: Vec<_> = ranges
            .into_iter()
            .filter(|(range, _value)| range.start() != range.end())
            .collect();
        let set = ranges
            .iter()
            .fold(RangeInclusiveMap::new(), |mut set, (range, value)| {
                set.insert(range.clone(), value.clone());
                set
            });

        for value in 0..u8::MAX {
            assert_eq!(
                set.get(&value),
                ranges
                    .iter()
                    .rev()
                    .find(|(range, _value)| range.contains(&value))
                    .map(|(_range, value)| value)
            );
        }
    }

    #[proptest]
    #[allow(deprecated)]
    fn test_hash(left: RangeInclusiveMap<u64, u64>, right: RangeInclusiveMap<u64, u64>) {
        use core::hash::{Hash, Hasher, SipHasher};

        let hash = |set: &RangeInclusiveMap<_, _>| {
            let mut hasher = SipHasher::new();
            set.hash(&mut hasher);
            hasher.finish()
        };

        if left == right {
            assert!(
                hash(&left) == hash(&right),
                "if two values are equal, their hash must be equal"
            );
        }

        // if the hashes are equal the values might not be the same (collision)
        if hash(&left) != hash(&right) {
            assert!(
                left != right,
                "if two value's hashes are not equal, they must not be equal"
            );
        }
    }

    #[proptest]
    fn test_ord(left: RangeInclusiveMap<u64, u64>, right: RangeInclusiveMap<u64, u64>) {
        assert_eq!(
            left == right,
            left.cmp(&right).is_eq(),
            "ordering and equality must match"
        );
        assert_eq!(
            left.cmp(&right),
            left.partial_cmp(&right).unwrap(),
            "ordering is total for ordered parameters"
        );
    }

    #[test]
    fn test_from_array() {
        let mut map = RangeInclusiveMap::new();
        map.insert(0..=100, "hello");
        map.insert(200..=300, "world");
        assert_eq!(
            map,
            RangeInclusiveMap::from([(0..=100, "hello"), (200..=300, "world")])
        );
    }

    #[test]
    fn test_macro() {
        assert_eq!(
            range_inclusive_map![],
            RangeInclusiveMap::<i64, i64>::default()
        );
        assert_eq!(
            range_inclusive_map!(0..=100 => "abc", 100..=200 => "def", 200..=300 => "ghi"),
            [(0..=100, "abc"), (100..=200, "def"), (200..=300, "ghi")]
                .iter()
                .cloned()
                .collect(),
        );
    }

    trait RangeInclusiveMapExt<K, V> {
        fn to_vec(&self) -> Vec<(RangeInclusive<K>, V)>;
    }

    impl<K, V> RangeInclusiveMapExt<K, V> for RangeInclusiveMap<K, V, K>
    where
        K: Ord + Clone + StepLite,
        V: PartialEq + Clone,
    {
        fn to_vec(&self) -> Vec<(RangeInclusive<K>, V)> {
            self.iter().map(|(kr, v)| (kr.clone(), v.clone())).collect()
        }
    }

    //
    // Insertion tests
    //

    #[test]
    fn empty_map_is_empty() {
        let range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        assert_eq!(range_map.to_vec(), vec![]);
    }

    #[test]
    fn insert_into_empty_map() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(0..=50, false);
        assert_eq!(range_map.to_vec(), vec![(0..=50, false)]);
    }

    #[test]
    fn new_same_value_immediately_following_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---● ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=3, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ●---◌ ◌ ◌ ◌
        range_map.insert(4..=6, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---------◌ ◌ ◌ ◌
        assert_eq!(range_map.to_vec(), vec![(1..=6, false)]);
    }

    #[test]
    fn new_different_value_immediately_following_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---● ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=3, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◆---◇ ◌ ◌ ◌
        range_map.insert(4..=6, true);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---● ◌ ◌ ◌ ◌ ◌ ◌
        // ◌ ◌ ◌ ◌ ◆---◇ ◌ ◌ ◌
        assert_eq!(range_map.to_vec(), vec![(1..=3, false), (4..=6, true)]);
    }

    #[test]
    fn new_same_value_overlapping_end_of_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-----● ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=4, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ●---● ◌ ◌ ◌
        range_map.insert(4..=6, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---------● ◌ ◌ ◌
        assert_eq!(range_map.to_vec(), vec![(1..=6, false)]);
    }

    #[test]
    fn new_different_value_overlapping_end_of_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---● ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=3, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◆---◆ ◌ ◌ ◌ ◌
        range_map.insert(3..=5, true);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-● ◌ ◌ ◌ ◌ ◌ ◌ ◌
        // ◌ ◌ ◌ ◆---◇ ◌ ◌ ◌ ◌
        assert_eq!(range_map.to_vec(), vec![(1..=2, false), (3..=5, true)]);
    }

    #[test]
    fn new_same_value_immediately_preceding_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ●---● ◌ ◌ ◌ ◌
        range_map.insert(3..=5, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-● ◌ ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=2, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-------● ◌ ◌ ◌ ◌
        assert_eq!(range_map.to_vec(), vec![(1..=5, false)]);
    }

    #[test]
    fn new_different_value_immediately_preceding_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◆---◆ ◌ ◌ ◌ ◌
        range_map.insert(3..=5, true);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-● ◌ ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=2, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-● ◌ ◌ ◌ ◌ ◌ ◌ ◌
        // ◌ ◌ ◌ ◆---◇ ◌ ◌ ◌ ◌
        assert_eq!(range_map.to_vec(), vec![(1..=2, false), (3..=5, true)]);
    }

    #[test]
    fn new_same_value_wholly_inside_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-------● ◌ ◌ ◌ ◌
        range_map.insert(1..=5, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ●---● ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(2..=4, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-------● ◌ ◌ ◌ ◌
        assert_eq!(range_map.to_vec(), vec![(1..=5, false)]);
    }

    #[test]
    fn new_different_value_wholly_inside_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆-------◆ ◌ ◌ ◌ ◌
        range_map.insert(1..=5, true);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ●---● ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(2..=4, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌
        // ◌ ◌ ●---● ◌ ◌ ◌ ◌ ◌
        // ◌ ◌ ◌ ◌ ◌ ◆ ◌ ◌ ◌ ◌
        assert_eq!(
            range_map.to_vec(),
            vec![(1..=1, true), (2..=4, false), (5..=5, true)]
        );
    }

    #[test]
    fn replace_at_end_of_existing_range_should_coalesce() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---● ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=3, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ●---● ◌ ◌ ◌
        range_map.insert(4..=6, true);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ●---● ◌ ◌ ◌
        range_map.insert(4..=6, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---------● ◌ ◌ ◌
        assert_eq!(range_map.to_vec(), vec![(1..=6, false)]);
    }

    #[test]
    // Test every permutation of a bunch of touching and overlapping ranges.
    fn lots_of_interesting_ranges() {
        use crate::dense::DenseU32RangeMap;
        use permutator::Permutation;

        let mut ranges_with_values = [
            (2..=3, false),
            // A duplicate range
            (2..=3, false),
            // Almost a duplicate, but with a different value
            (2..=3, true),
            // A few small ranges, some of them overlapping others,
            // some of them touching others
            (3..=5, true),
            (4..=6, true),
            (6..=7, true),
            // A really big range
            (2..=6, true),
        ];

        ranges_with_values.permutation().for_each(|permutation| {
            let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
            let mut dense: DenseU32RangeMap<bool> = DenseU32RangeMap::new();

            for (k, v) in permutation {
                // Insert it into both maps.
                range_map.insert(k.clone(), v);
                dense.insert(k, v);

                // At every step, both maps should contain the same stuff.
                let sparse = range_map.to_vec();
                let dense = dense.to_vec();
                assert_eq!(sparse, dense);
            }
        });
    }

    //
    // Get* tests
    //

    #[test]
    fn get() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(0..=50, false);
        assert_eq!(range_map.get(&50), Some(&false));
        assert_eq!(range_map.get(&51), None);
    }

    #[test]
    fn get_key_value() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(0..=50, false);
        assert_eq!(range_map.get_key_value(&50), Some((&(0..=50), &false)));
        assert_eq!(range_map.get_key_value(&51), None);
    }

    //
    // Removal tests
    //

    #[test]
    fn remove_from_empty_map() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.remove(0..=50);
        assert_eq!(range_map.to_vec(), vec![]);
    }

    #[test]
    fn remove_non_covered_range_before_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(25..=75, false);
        range_map.remove(0..=24);
        assert_eq!(range_map.to_vec(), vec![(25..=75, false)]);
    }

    #[test]
    fn remove_non_covered_range_after_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(25..=75, false);
        range_map.remove(76..=100);
        assert_eq!(range_map.to_vec(), vec![(25..=75, false)]);
    }

    #[test]
    fn remove_overlapping_start_of_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(25..=75, false);
        range_map.remove(0..=25);
        assert_eq!(range_map.to_vec(), vec![(26..=75, false)]);
    }

    #[test]
    fn remove_middle_of_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(25..=75, false);
        range_map.remove(30..=70);
        assert_eq!(range_map.to_vec(), vec![(25..=29, false), (71..=75, false)]);
    }

    #[test]
    fn remove_overlapping_end_of_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(25..=75, false);
        range_map.remove(75..=100);
        assert_eq!(range_map.to_vec(), vec![(25..=74, false)]);
    }

    #[test]
    fn remove_exactly_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(25..=75, false);
        range_map.remove(25..=75);
        assert_eq!(range_map.to_vec(), vec![]);
    }

    #[test]
    fn remove_superset_of_stored() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        range_map.insert(25..=75, false);
        range_map.remove(0..=100);
        assert_eq!(range_map.to_vec(), vec![]);
    }

    //
    // Test extremes of key ranges; we do addition/subtraction in
    // the range domain so I want to make sure I haven't accidentally
    // introduced some arithmetic overflow there.
    //

    #[test]
    fn no_overflow_at_key_domain_extremes() {
        let mut range_map: RangeInclusiveMap<u8, bool> = RangeInclusiveMap::new();
        range_map.insert(0..=255, false);
        range_map.insert(0..=10, true);
        range_map.insert(245..=255, true);
        range_map.remove(0..=5);
        range_map.remove(0..=5);
        range_map.remove(250..=255);
        range_map.remove(250..=255);
        range_map.insert(0..=255, true);
        range_map.remove(1..=254);
        range_map.insert(254..=254, true);
        range_map.insert(255..=255, true);
        range_map.insert(255..=255, false);
        range_map.insert(0..=0, false);
        range_map.insert(1..=1, true);
        range_map.insert(0..=0, true);
    }

    // Gaps tests

    #[test]
    fn whole_range_is_a_gap() {
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌
        let range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆-------------◆ ◌
        let outer_range = 1..=8;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield the entire outer range.
        assert_eq!(gaps.next(), Some(1..=8));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn whole_range_is_covered_exactly() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---------● ◌ ◌ ◌
        range_map.insert(1..=6, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆---------◆ ◌ ◌ ◌
        let outer_range = 1..=6;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield no gaps.
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn item_before_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●---● ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=3, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◆-----◆ ◌
        let outer_range = 5..=8;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield the entire outer range.
        assert_eq!(gaps.next(), Some(5..=8));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn item_touching_start_of_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-----● ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=4, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◆-----◆ ◌
        let outer_range = 5..=8;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield the entire outer range.
        assert_eq!(gaps.next(), Some(5..=8));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn item_overlapping_start_of_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-------● ◌ ◌ ◌ ◌
        range_map.insert(1..=5, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◆-----◆ ◌
        let outer_range = 5..=8;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield from just past the end of the stored item
        // to the end of the outer range.
        assert_eq!(gaps.next(), Some(6..=8));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn item_starting_at_start_of_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ●-● ◌ ◌ ◌
        range_map.insert(5..=6, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◆-----◆ ◌
        let outer_range = 5..=8;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield from just past the item onwards.
        assert_eq!(gaps.next(), Some(7..=8));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn items_floating_inside_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◌ ●-● ◌ ◌
        range_map.insert(6..=7, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ●-● ◌ ◌ ◌ ◌ ◌
        range_map.insert(3..=4, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆-------------◆ ◌
        let outer_range = 1..=8;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield gaps at start, between items,
        // and at end.
        assert_eq!(gaps.next(), Some(1..=2));
        assert_eq!(gaps.next(), Some(5..=5));
        assert_eq!(gaps.next(), Some(8..=8));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn item_ending_at_end_of_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◌ ◌ ●-● ◌
        range_map.insert(7..=8, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◆-----◆ ◌
        let outer_range = 5..=8;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield from the start of the outer range
        // up to just before the start of the stored item.
        assert_eq!(gaps.next(), Some(5..=6));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn item_overlapping_end_of_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ●---● ◌ ◌
        range_map.insert(5..=6, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◆-----◆ ◌ ◌ ◌ ◌
        let outer_range = 2..=5;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield from the start of the outer range
        // up to the start of the stored item.
        assert_eq!(gaps.next(), Some(2..=4));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn item_touching_end_of_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ●-----● ◌
        range_map.insert(5..=9, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆-----◆ ◌ ◌ ◌ ◌ ◌
        let outer_range = 1..=4;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield the entire outer range.
        assert_eq!(gaps.next(), Some(1..=4));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn item_after_outer_range() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◌ ●---● ◌
        range_map.insert(6..=7, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆-----◆ ◌ ◌ ◌ ◌ ◌
        let outer_range = 1..=4;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield the entire outer range.
        assert_eq!(gaps.next(), Some(1..=4));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn zero_width_outer_range_with_items_away_from_both_sides() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆---◆ ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=3, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◆---◆ ◌ ◌
        range_map.insert(5..=7, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◆ ◌ ◌ ◌ ◌ ◌
        let outer_range = 4..=4;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield a zero-width gap.
        assert_eq!(gaps.next(), Some(4..=4));
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn zero_width_outer_range_with_items_touching_both_sides() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◆-◆ ◌ ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(2..=3, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◆---◆ ◌ ◌ ◌
        range_map.insert(5..=6, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◆ ◌ ◌ ◌ ◌ ◌
        let outer_range = 4..=4;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield no gaps.
        assert_eq!(gaps.next(), Some(4..=4));
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn empty_outer_range_with_item_straddling() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◆-----◆ ◌ ◌ ◌ ◌ ◌
        range_map.insert(2..=5, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◆ ◌ ◌ ◌ ◌ ◌
        let outer_range = 4..=4;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield no gaps.
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn no_empty_gaps() {
        // Make two ranges different values so they don't
        // get coalesced.
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◆-◆ ◌ ◌ ◌ ◌
        range_map.insert(4..=5, true);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◆-◆ ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(2..=3, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ●-------------● ◌
        let outer_range = 1..=8;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield gaps at start and end, but not between the
        // two touching items.
        assert_eq!(gaps.next(), Some(1..=1));
        assert_eq!(gaps.next(), Some(6..=8));
        assert_eq!(gaps.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    #[test]
    fn no_overflow_finding_gaps_at_key_domain_extremes() {
        // Items and outer range both at extremes.
        let mut range_map: RangeInclusiveMap<u8, bool> = RangeInclusiveMap::new();
        range_map.insert(0..=255, false);
        range_map.gaps(&(0..=255));

        // Items at extremes with gaps in middle.
        let mut range_map: RangeInclusiveMap<u8, bool> = RangeInclusiveMap::new();
        range_map.insert(0..=255, false);
        range_map.gaps(&(0..=5));
        range_map.gaps(&(250..=255));

        // Items just in from extremes.
        let mut range_map: RangeInclusiveMap<u8, bool> = RangeInclusiveMap::new();
        range_map.insert(0..=255, false);
        range_map.gaps(&(1..=5));
        range_map.gaps(&(250..=254));

        // Outer range just in from extremes,
        // items at extremes.
        let mut range_map: RangeInclusiveMap<u8, bool> = RangeInclusiveMap::new();
        range_map.insert(1..=254, false);
        range_map.gaps(&(0..=5));
        range_map.gaps(&(250..=255));
    }

    #[test]
    fn adjacent_unit_width_items() {
        // Items two items next to each other at the start, and at the end.
        let mut range_map: RangeInclusiveMap<u8, bool> = RangeInclusiveMap::new();
        range_map.insert(0..=0, false);
        range_map.insert(1..=1, true);
        range_map.insert(254..=254, false);
        range_map.insert(255..=255, true);

        let outer_range = 0..=255;
        let mut gaps = range_map.gaps(&outer_range);
        // Should yield one big gap in the middle.
        assert_eq!(gaps.next(), Some(2..=253));
        // Gaps iterator should be fused.
        assert_eq!(gaps.next(), None);
        assert_eq!(gaps.next(), None);
    }

    // Overlapping tests

    #[test]
    fn overlapping_ref_with_empty_map() {
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌
        let range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆-------------◆ ◌
        let query_range = 1..=8;
        let mut overlapping = range_map.overlapping(&query_range);
        // Should not yield any items.
        assert_eq!(overlapping.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(overlapping.next(), None);
    }

    #[test]
    fn overlapping_owned_with_empty_map() {
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌
        let range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆-------------◆ ◌
        let query_range = 1..=8;
        let mut overlapping = range_map.overlapping(query_range);
        // Should not yield any items.
        assert_eq!(overlapping.next(), None);
        // Gaps iterator should be fused.
        assert_eq!(overlapping.next(), None);
    }

    #[test]
    fn overlapping_partial_edges_complete_middle() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();

        // 0 1 2 3 4 5 6 7 8 9
        // ●-● ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(0..=1, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ●-● ◌ ◌ ◌ ◌ ◌
        range_map.insert(3..=4, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◌ ●-● ◌ ◌
        range_map.insert(6..=7, ());

        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆---------◆ ◌ ◌ ◌
        let query_range = 1..=6;

        let mut overlapping = range_map.overlapping(&query_range);

        // Should yield partially overlapped range at start.
        assert_eq!(overlapping.next(), Some((&(0..=1), &())));
        // Should yield completely overlapped range in middle.
        assert_eq!(overlapping.next(), Some((&(3..=4), &())));
        // Should yield partially overlapped range at end.
        assert_eq!(overlapping.next(), Some((&(6..=7), &())));
        // Gaps iterator should be fused.
        assert_eq!(overlapping.next(), None);
        assert_eq!(overlapping.next(), None);
    }

    #[test]
    fn overlapping_non_overlapping_edges_complete_middle() {
        let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();

        // 0 1 2 3 4 5 6 7 8 9
        // ●-● ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(0..=1, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ●-● ◌ ◌ ◌ ◌ ◌
        range_map.insert(3..=4, ());
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◌ ●-● ◌ ◌
        range_map.insert(6..=7, ());

        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◆-----◆ ◌ ◌ ◌ ◌
        let query_range = 2..=5;

        let mut overlapping = range_map.overlapping(&query_range);

        // Should only yield the completely overlapped range in middle.
        // (Not the ranges that are touched by not covered to either side.)
        assert_eq!(overlapping.next(), Some((&(3..=4), &())));
        // Gaps iterator should be fused.
        assert_eq!(overlapping.next(), None);
        assert_eq!(overlapping.next(), None);
    }

    ///
    /// impl Debug
    ///

    #[test]
    fn map_debug_repr_looks_right() {
        let mut map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();

        // Empty
        assert_eq!(format!("{:?}", map), "{}");

        // One entry
        map.insert(2..=5, ());
        assert_eq!(format!("{:?}", map), "{2..=5: ()}");

        // Many entries
        map.insert(7..=8, ());
        map.insert(10..=11, ());
        assert_eq!(format!("{:?}", map), "{2..=5: (), 7..=8: (), 10..=11: ()}");
    }

    // impl Default where T: ?Default

    #[test]
    fn always_default() {
        struct NoDefault;
        RangeInclusiveMap::<NoDefault, NoDefault>::default();
    }

    // impl Serialize

    #[cfg(feature = "serde1")]
    #[test]
    fn serialization() {
        let mut range_map: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◆---◆ ◌ ◌ ◌ ◌ ◌ ◌
        range_map.insert(1..=3, false);
        // 0 1 2 3 4 5 6 7 8 9
        // ◌ ◌ ◌ ◌ ◌ ◆---◆ ◌ ◌
        range_map.insert(5..=7, true);
        let output = serde_json::to_string(&range_map).expect("Failed to serialize");
        assert_eq!(output, "[[[1,3],false],[[5,7],true]]");
    }

    // impl Deserialize

    #[cfg(feature = "serde1")]
    #[test]
    fn deserialization() {
        let input = "[[[1,3],false],[[5,7],true]]";
        let range_map: RangeInclusiveMap<u32, bool> =
            serde_json::from_str(input).expect("Failed to deserialize");
        let reserialized = serde_json::to_string(&range_map).expect("Failed to re-serialize");
        assert_eq!(reserialized, input);
    }

    // const fn

    #[cfg(feature = "const_fn")]
    const _MAP: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new();
    #[cfg(feature = "const_fn")]
    const _MAP2: RangeInclusiveMap<u32, bool> = RangeInclusiveMap::new_with_step_fns();

    // Equality

    #[test]
    fn test_equality_same_start_different_end() {
        let mut a: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        a.insert(0..=5, ());

        let mut b: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        b.insert(0..=2, ());

        assert_ne!(a, b);
    }

    #[test]
    fn test_equality_identical_ranges() {
        let mut a: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        a.insert(0..=5, ());

        let mut b: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
        b.insert(0..=5, ());

        assert_eq!(a, b);
    }

    #[cfg(feature = "quickcheck")]
    quickcheck::quickcheck! {
        fn prop(xs: RangeInclusiveMap<usize, usize>) -> bool {
            xs == xs
        }
    }

    #[cfg(feature = "ordered-float5")]
    mod ordered_float {
        use super::*;
        use ::ordered_float::NotNan;

        type F64 = NotNan<f64>;

        #[proptest]
        #[allow(clippy::len_zero)]
        fn test_len(mut map: RangeInclusiveMap<F64, String>) {
            assert_eq!(map.len(), map.iter().count());
            assert_eq!(map.is_empty(), map.len() == 0);
            map.clear();
            assert_eq!(map.len(), 0);
            assert!(map.is_empty());
            assert_eq!(map.iter().count(), 0);
        }

        #[proptest]
        fn test_first(set: RangeInclusiveMap<F64, String>) {
            assert_eq!(
                set.first_range_value(),
                set.iter().min_by_key(|(range, _)| range.start())
            );
        }

        #[proptest]
        fn test_last(set: RangeInclusiveMap<F64, String>) {
            assert_eq!(
                set.last_range_value(),
                set.iter().max_by_key(|(range, _)| range.end())
            );
        }

        #[proptest]
        fn test_iter_reversible(set: RangeInclusiveMap<F64, String>) {
            let forward: Vec<_> = set.iter().collect();
            let mut backward: Vec<_> = set.iter().rev().collect();
            backward.reverse();
            assert_eq!(forward, backward);
        }

        #[proptest]
        fn test_into_iter_reversible(set: RangeInclusiveMap<F64, String>) {
            let forward: Vec<_> = set.clone().into_iter().collect();
            let mut backward: Vec<_> = set.into_iter().rev().collect();
            backward.reverse();
            assert_eq!(forward, backward);
        }

        #[proptest]
        fn test_overlapping_reversible(
            set: RangeInclusiveMap<F64, String>,
            range: RangeInclusive<F64>,
        ) {
            let forward: Vec<_> = set.overlapping(&range).collect();
            let mut backward: Vec<_> = set.overlapping(&range).rev().collect();
            backward.reverse();
            assert_eq!(forward, backward);
        }

        #[proptest]
        #[allow(deprecated)]
        fn test_hash(left: RangeInclusiveMap<F64, F64>, right: RangeInclusiveMap<F64, F64>) {
            use core::hash::{Hash, Hasher, SipHasher};

            let hash = |set: &RangeInclusiveMap<_, _>| {
                let mut hasher = SipHasher::new();
                set.hash(&mut hasher);
                hasher.finish()
            };

            if left == right {
                assert!(
                    hash(&left) == hash(&right),
                    "if two values are equal, their hash must be equal"
                );
            }

            // if the hashes are equal the values might not be the same (collision)
            if hash(&left) != hash(&right) {
                assert!(
                    left != right,
                    "if two value's hashes are not equal, they must not be equal"
                );
            }
        }

        #[proptest]
        fn test_ord(left: RangeInclusiveMap<F64, F64>, right: RangeInclusiveMap<F64, F64>) {
            assert_eq!(
                left == right,
                left.cmp(&right).is_eq(),
                "ordering and equality must match"
            );
            assert_eq!(
                left.cmp(&right),
                left.partial_cmp(&right).unwrap(),
                "ordering is total for ordered parameters"
            );
        }

        fn not_nan(x: f64) -> F64 {
            NotNan::new(x).unwrap()
        }

        #[test]
        fn ranges_one_ulp_apart_are_coalesced() {
            let mut map = RangeInclusiveMap::new();
            map.insert(not_nan(0.0)..=not_nan(1.0), "hello");
            map.insert(not_nan(1.0).add_one()..=not_nan(2.0), "hello");
            assert_eq!(
                map,
                RangeInclusiveMap::from([(not_nan(0.0)..=not_nan(2.0), "hello")])
            );
        }

        #[test]
        fn ranges_two_ulps_apart_are_not_coalesced() {
            let gap = not_nan(1.0).add_one();
            let mut map = RangeInclusiveMap::new();
            map.insert(not_nan(0.0)..=not_nan(1.0), "hello");
            map.insert(gap.add_one()..=not_nan(2.0), "hello");
            assert_eq!(
                map,
                RangeInclusiveMap::from([
                    (not_nan(0.0)..=not_nan(1.0), "hello"),
                    (gap.add_one()..=not_nan(2.0), "hello"),
                ])
            );
            // What's between them is a single float.
            assert_eq!(
                map.gaps(&(not_nan(0.0)..=not_nan(2.0))).collect::<Vec<_>>(),
                vec![gap..=gap]
            );
        }

        #[test]
        fn ranges_can_span_the_infinities() {
            let mut map = RangeInclusiveMap::new();
            map.insert(
                not_nan(f64::NEG_INFINITY)..=not_nan(f64::INFINITY),
                "everything",
            );
            map.insert(not_nan(0.0)..=not_nan(1.0), "something");

            // Splitting the outer range mustn't fall over at either infinity,
            // where stepping saturates instead of moving.
            assert_eq!(
                map.iter().map(|(_range, value)| *value).collect::<Vec<_>>(),
                vec!["everything", "something", "everything"]
            );
            assert_eq!(
                map.gaps(&(not_nan(f64::NEG_INFINITY)..=not_nan(f64::INFINITY)))
                    .count(),
                0
            );
        }
    }
}