1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
use crate::map::CloneBorrow;
use crate::range_values::{MapIntoRangesIter, MapRangesIter, RangeValuesToRangesIter};
use crate::ranges::RangesIter;
use crate::RangeSetBlaze;
use crate::{BitOrMerge, IntoRangesIter, UnionIter};
use alloc::format;
use alloc::string::String;
use core::array;
use core::{
    iter::FusedIterator,
    ops::{self, RangeInclusive},
};

use crate::{map::ValueOwned, SortedDisjointMap};
use itertools::Itertools;

use crate::{
    BitAndMerge, BitSubMerge, BitXorMerge, DynSortedDisjoint, Integer, NotIter, SymDiffIter,
};

/// A trait used to mark iterators that provide ranges sorted by start, but not necessarily by end,
/// and may overlap.
pub trait SortedStarts<T: Integer>: Iterator<Item = RangeInclusive<T>> + FusedIterator {}

/// The trait used to mark iterators that provide ranges that are sorted by start and disjoint. Set operations on
/// iterators that implement this trait can be performed in linear time.
///
/// # Table of Contents
/// * [`SortedDisjoint` Constructors](#sorteddisjoint-constructors)
///   * [Examples](#constructor-examples)
/// * [`SortedDisjoint` Set and Other Operations](#sorteddisjoint-set-and-other-operations)
///   * [Performance](#performance)
///   * [Examples](#examples)
/// * [How to mark your type as `SortedDisjoint`](#how-to-mark-your-type-as-sorteddisjoint)
///   * [Example – Find the ordinal weekdays in September 2023](#example--find-the-ordinal-weekdays-in-september-2023)
///
/// # `SortedDisjoint` Constructors
///
/// You'll usually construct a `SortedDisjoint` iterator from a [`RangeSetBlaze`] or a [`CheckSortedDisjoint`].
/// Here is a summary table, followed by [examples](#constructor-examples). You can also [define your own
/// `SortedDisjoint`](#how-to-mark-your-type-as-sorteddisjoint).
///
/// | Input type | Method |
/// |------------|--------|
/// | [`RangeSetBlaze`] | [`ranges`] |
/// | [`RangeSetBlaze`] | [`into_ranges`] |
/// | [`RangeSetBlaze`]'s [`RangesIter`] | [`clone`] |
/// | sorted & disjoint ranges | [`CheckSortedDisjoint::new`] |
/// | `SortedDisjoint` iterator | [itertools `tee`] |
/// | `SortedDisjoint` iterator | [`crate::dyn_sorted_disjoint::DynSortedDisjoint::new`] |
/// |  *your iterator type* | *[How to mark your type as `SortedDisjoint`][1]* |
///
/// [`ranges`]: RangeSetBlaze::ranges
/// [`into_ranges`]: RangeSetBlaze::into_ranges
/// [`clone`]: crate::RangesIter::clone
/// [itertools `tee`]: https://docs.rs/itertools/latest/itertools/trait.Itertools.html#method.tee
/// [1]: #how-to-mark-your-type-as-sorteddisjoint
/// [`RangesIter`]: crate::RangesIter
///
/// ## Constructor Examples
///
/// ```
/// use range_set_blaze::prelude::*;
/// use itertools::Itertools;
///
/// // RangeSetBlaze's .ranges(), .range().clone() and .into_ranges()
/// let r = RangeSetBlaze::from_iter([3, 2, 1, 100, 1]);
/// let a = r.ranges();
/// let b = a.clone();
/// assert!(a.into_string() == "1..=3, 100..=100");
/// assert!(b.into_string() == "1..=3, 100..=100");
/// //    'into_ranges' takes ownership of the 'RangeSetBlaze'
/// let a = RangeSetBlaze::from_iter([3, 2, 1, 100, 1]).into_ranges();
/// assert!(a.into_string() == "1..=3, 100..=100");
///
/// // CheckSortedDisjoint -- unsorted or overlapping input ranges will cause a panic.
/// let a = CheckSortedDisjoint::from([1..=3, 100..=100]);
/// assert!(a.into_string() == "1..=3, 100..=100");
///
/// // tee of a SortedDisjoint iterator
/// let a = CheckSortedDisjoint::from([1..=3, 100..=100]);
/// let (a, b) = a.tee();
/// assert!(a.into_string() == "1..=3, 100..=100");
/// assert!(b.into_string() == "1..=3, 100..=100");
///
/// // DynamicSortedDisjoint of a SortedDisjoint iterator
/// let a = CheckSortedDisjoint::from([1..=3, 100..=100]);
/// let b = DynSortedDisjoint::new(a);
/// assert!(b.into_string() == "1..=3, 100..=100");
/// ```
///
/// # `SortedDisjoint` Set Operations
///
/// | Method | Operator | Multiway (same type) | Multiway (different types) |
/// |--------|----------|----------------------|----------------------------|
/// | `a.`[`union`]`(b)` | `a` &#124; `b` | `[a, b, c].`[`union`][crate::MultiwaySortedDisjoint::union]`()` | [`crate::MultiwayRangeSetBlaze::union`]`!(a, b, c)` |
/// | `a.`[`intersection`]`(b)` | `a & b` | `[a, b, c].`[`intersection`][crate::MultiwaySortedDisjoint::intersection]`()` | [`crate::MultiwayRangeSetBlaze::intersection`]`!(a, b, c)` |
/// | `a.`[`difference`]`(b)` | `a - b` |  |  |
/// | `a.`[`symmetric_difference`]`(b)` | `a ^ b` |  |  |
/// | `a.`[`complement`]`()` | `!a` |  |  |
///
///
/// ## Performance
///
/// Every operation is implemented as a single pass over the sorted & disjoint ranges, with minimal memory.
///
/// This is true even when applying multiple operations. The last example below demonstrates this.
///
/// ## Examples
///
/// ```
/// use range_set_blaze::prelude::*;
///
/// let a0 = RangeSetBlaze::from_iter([1..=2, 5..=100]);
/// let b0 = RangeSetBlaze::from_iter([2..=6]);
/// let c0 = RangeSetBlaze::from_iter([2..=2, 6..=200]);
///
/// // 'union' method and 'to_string' method
/// let (a, b) = (a0.ranges(), b0.ranges());
/// let result = a.union(b);
/// assert_eq!(result.into_string(), "1..=100");
///
/// // '|' operator and 'equal' method
/// let (a, b) = (a0.ranges(), b0.ranges());
/// let result = a | b;
/// assert!(result.equal(CheckSortedDisjoint::from([1..=100])));
///
/// // multiway union of same type
/// let (a, b, c) = (a0.ranges(), b0.ranges(), c0.ranges());
/// let result = [a, b, c].union();
/// assert_eq!(result.into_string(), "1..=200");
///
/// // multiway union of different types
/// let (a, b, c) = (a0.ranges(), b0.ranges(), c0.ranges());
/// let result = union_dyn!(a, b, !c);
/// assert_eq!(result.into_string(), "-2147483648..=100, 201..=2147483647");
///
/// // Applying multiple operators makes only one pass through the inputs with minimal memory.
/// let (a, b, c) = (a0.ranges(), b0.ranges(), c0.ranges());
/// let result = a - (b | c);
/// assert!(result.into_string() == "1..=1");
/// ```
///
/// # How to mark your type as `SortedDisjoint`
///
/// To mark your iterator type as `SortedDisjoint`, you implement the `SortedStarts` and `SortedDisjoint` traits.
/// This is your promise to the compiler that your iterator will provide inclusive ranges that disjoint and sorted by start.
///
/// When you do this, your iterator will get access to the
/// efficient set operations methods, such as [`intersection`] and [`complement`]. The example below shows this.
///
/// > To use operators such as `&` and `!`, you must also implement the [`BitAnd`], [`Not`], etc. traits.
/// >
/// > If you want others to use your marked iterator type, reexport:
/// > `pub use range_set_blaze::{SortedDisjoint, SortedStarts};`
///
/// [`BitAnd`]: https://doc.rust-lang.org/std/ops/trait.BitAnd.html
/// [`Not`]: https://doc.rust-lang.org/std/ops/trait.Not.html
/// [`intersection`]: SortedDisjoint::intersection
/// [`complement`]: SortedDisjoint::complement
/// [`union`]: SortedDisjoint::union
/// [`symmetric_difference`]: SortedDisjoint::symmetric_difference
/// [`difference`]: SortedDisjoint::difference
/// [`to_string`]: SortedDisjoint::to_string
/// [`equal`]: SortedDisjoint::equal
/// [multiway_union]: crate::MultiwaySortedDisjoint::union
/// [multiway_intersection]: crate::MultiwaySortedDisjoint::intersection
///
/// ## Example -- Find the ordinal weekdays in September 2023
/// ```
/// use core::ops::RangeInclusive;
/// pub use range_set_blaze::{SortedDisjoint, SortedStarts};
///
/// // Ordinal dates count January 1 as day 1, February 1 as day 32, etc.
/// struct OrdinalWeekends2023 {
///     next_range: RangeInclusive<i32>,
/// }
///
/// // We promise the compiler that our iterator will provide
/// // ranges that are sorted and disjoint.
/// impl SortedStarts<i32> for OrdinalWeekends2023 {}
/// impl SortedDisjoint<i32> for OrdinalWeekends2023 {}
///
/// impl OrdinalWeekends2023 {
///     fn new() -> Self {
///         Self { next_range: 0..=1 }
///     }
/// }
/// impl Iterator for OrdinalWeekends2023 {
///     type Item = RangeInclusive<i32>;
///     fn next(&mut self) -> Option<Self::Item> {
///         let (start, end) = self.next_range.clone().into_inner();
///         if start > 365 {
///             None
///         } else {
///             self.next_range = (start + 7)..=(end + 7);
///             Some(start.max(1)..=end.min(365))
///         }
///     }
/// }
///
/// use range_set_blaze::prelude::*;
///
/// let weekends = OrdinalWeekends2023::new();
/// let september = CheckSortedDisjoint::from([244..=273]);
/// let september_weekdays = september.intersection(weekends.complement());
/// assert_eq!(
///     september_weekdays.into_string(),
///     "244..=244, 247..=251, 254..=258, 261..=265, 268..=272"
/// );
/// ```
pub trait SortedDisjoint<T: Integer>: SortedStarts<T> {
    // I think this is 'Sized' because will sometimes want to create a struct (e.g. BitOrIter) that contains a field of this type

    /// Given two [`SortedDisjoint`] iterators, efficiently returns a [`SortedDisjoint`] iterator of their union.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjoint::from([1..=1]);
    /// let b = RangeSetBlaze::from_iter([2..=2]).into_ranges();
    /// let union = a.union(b);
    /// assert_eq!(union.into_string(), "1..=2");
    ///
    /// // Alternatively, we can use "|" because CheckSortedDisjoint defines
    /// // ops::bitor as SortedDisjoint::union.
    /// let a = CheckSortedDisjoint::from([1..=1]);
    /// let b = RangeSetBlaze::from_iter([2..=2]).into_ranges();
    /// let union = a | b;
    /// assert_eq!(union.into_string(), "1..=2");
    /// ```
    #[inline]
    fn union<R>(self, other: R) -> BitOrMerge<T, Self, R::IntoIter>
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        BitOrMerge::new2(self, other.into_iter())
    }

    /// Given two [`SortedDisjoint`] iterators, efficiently returns a [`SortedDisjoint`] iterator of their intersection.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjoint::from([1..=2]);
    /// let b = RangeSetBlaze::from_iter([2..=3]).into_ranges();
    /// let intersection = a.intersection(b);
    /// assert_eq!(intersection.into_string(), "2..=2");
    ///
    /// // Alternatively, we can use "&" because CheckSortedDisjoint defines
    /// // ops::bitand as SortedDisjoint::intersection.
    /// let a = CheckSortedDisjoint::from([1..=2]);
    /// let b = RangeSetBlaze::from_iter([2..=3]).into_ranges();
    /// let intersection = a & b;
    /// assert_eq!(intersection.into_string(), "2..=2");
    /// ```
    #[inline]
    fn intersection<R>(self, other: R) -> BitAndMerge<T, Self, R::IntoIter>
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        !(self.complement() | other.into_iter().complement())
    }

    /// Given two [`SortedDisjoint`] iterators, efficiently returns a [`SortedDisjoint`] iterator of their set difference.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjoint::from([1..=2]);
    /// let b = RangeSetBlaze::from_iter([2..=3]).into_ranges();
    /// let difference = a.difference(b);
    /// assert_eq!(difference.into_string(), "1..=1");
    ///
    /// // Alternatively, we can use "-" because CheckSortedDisjoint defines
    /// // ops::sub as SortedDisjoint::difference.
    /// let a = CheckSortedDisjoint::from([1..=2]);
    /// let b = RangeSetBlaze::from_iter([2..=3]).into_ranges();
    /// let difference = a - b;
    /// assert_eq!(difference.into_string(), "1..=1");
    /// ```
    #[inline]
    fn difference<R>(self, other: R) -> BitSubMerge<T, Self, R::IntoIter>
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        !(self.complement() | other.into_iter())
    }

    /// Given a [`SortedDisjoint`] iterator, efficiently returns a [`SortedDisjoint`] iterator of its complement.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjoint::from([-10i16..=0, 1000..=2000]);
    /// let complement = a.complement();
    /// assert_eq!(complement.into_string(), "-32768..=-11, 1..=999, 2001..=32767");
    ///
    /// // Alternatively, we can use "!" because CheckSortedDisjoint defines
    /// // ops::not as SortedDisjoint::complement.
    /// let a = CheckSortedDisjoint::from([-10i16..=0, 1000..=2000]);
    /// let complement = !a;
    /// assert_eq!(complement.into_string(), "-32768..=-11, 1..=999, 2001..=32767");
    /// ```
    #[inline]
    fn complement(self) -> NotIter<T, Self>
    where
        Self: Sized,
    {
        NotIter::new(self)
    }

    /// Given two [`SortedDisjoint`] iterators, efficiently returns a [`SortedDisjoint`] iterator
    /// of their symmetric difference.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjoint::from([1..=2]);
    /// let b = RangeSetBlaze::from_iter([2..=3]).into_ranges();
    /// let symmetric_difference = a.symmetric_difference(b);
    /// assert_eq!(symmetric_difference.into_string(), "1..=1, 3..=3");
    ///
    /// // Alternatively, we can use "^" because CheckSortedDisjoint defines
    /// // ops::bitxor as SortedDisjoint::symmetric_difference.
    /// let a = CheckSortedDisjoint::from([1..=2]);
    /// let b = RangeSetBlaze::from_iter([2..=3]).into_ranges();
    /// let symmetric_difference = a ^ b;
    /// assert_eq!(symmetric_difference.into_string(), "1..=1, 3..=3");
    /// ```
    #[inline]
    fn symmetric_difference<R>(self, other: R) -> BitXorMerge<T, Self, R::IntoIter>
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjoint<T>,
        <R as IntoIterator>::IntoIter:,
        Self: Sized,
    {
        let result: SymDiffIter<T, crate::Merge<T, Self, <R as IntoIterator>::IntoIter>> =
            SymDiffIter::new2(self, other.into_iter());
        result
    }

    /// Given two [`SortedDisjoint`] iterators, efficiently tells if they are equal. Unlike most equality testing in Rust,
    /// this method takes ownership of the iterators and consumes them.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjoint::from([1..=2]);
    /// let b = RangeSetBlaze::from_iter([1..=2]).into_ranges();
    /// assert!(a.equal(b));
    /// ```
    fn equal<R>(self, other: R) -> bool
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        itertools::equal(self, other)
    }

    /// Given a [`SortedDisjoint`] iterators, produces a string version. Unlike most `to_string` and `fmt` in Rust,
    /// this method takes ownership of the iterator and consumes it.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjoint::from([1..=2]);
    /// assert_eq!(a.into_string(), "1..=2");
    /// ```
    fn into_string(self) -> String
    where
        Self: Sized,
    {
        self.map(|range| format!("{range:?}")).join(", ")
    }

    /// Deprecated. Use [`into_string`] instead.
    #[deprecated(since = "0.1.cmk", note = "Use `into_string` instead")]
    fn to_string(self) -> String
    where
        Self: Sized,
    {
        self.into_string()
    }

    /// Returns `true` if the set contains no elements.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::RangeSetBlaze;
    ///
    /// let mut v = RangeSetBlaze::new();
    /// assert!(v.is_empty());
    /// v.insert(1);
    /// assert!(!v.is_empty());
    /// ```
    #[inline]
    #[allow(clippy::wrong_self_convention)]
    fn is_empty(mut self) -> bool
    where
        Self: Sized,
    {
        self.next().is_none()
    }

    /// Returns `true` if the set is a subset of another,
    /// i.e., `other` contains at least all the elements in `self`.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let sup = CheckSortedDisjoint::from([1..=3]);
    /// let set: CheckSortedDisjoint<i32, _> = [].into();
    /// assert_eq!(set.is_subset(sup), true);
    ///
    /// let sup = CheckSortedDisjoint::from([1..=3]);
    /// let set = CheckSortedDisjoint::from([2..=2]);
    /// assert_eq!(set.is_subset(sup), true);
    ///
    /// let sup = CheckSortedDisjoint::from([1..=3]);
    /// let set = CheckSortedDisjoint::from([2..=2, 4..=4]);
    /// assert_eq!(set.is_subset(sup), false);
    /// ```
    #[must_use]
    #[inline]
    #[allow(clippy::wrong_self_convention)]
    fn is_subset<R>(self, other: R) -> bool
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        self.difference(other).is_empty()
    }

    // cmk define a comp that returns an Ordering and use that to define is_subset, is_superset, and equal

    /// Returns `true` if the set is a superset of another,
    /// i.e., `self` contains at least all the elements in `other`.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::RangeSetBlaze;
    ///
    /// let sub = RangeSetBlaze::from_iter([1, 2]);
    /// let mut set = RangeSetBlaze::new();
    ///
    /// assert_eq!(set.is_superset(&sub), false);
    ///
    /// set.insert(0);
    /// set.insert(1);
    /// assert_eq!(set.is_superset(&sub), false);
    ///
    /// set.insert(2);
    /// assert_eq!(set.is_superset(&sub), true);
    /// ```
    #[inline]
    #[must_use]
    #[allow(clippy::wrong_self_convention)]
    fn is_superset<R>(self, other: R) -> bool
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        other.into_iter().is_subset(self)
    }

    /// Returns `true` if `self` has no elements in common with `other`.
    /// This is equivalent to checking for an empty intersection.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::RangeSetBlaze;
    ///
    /// let a = RangeSetBlaze::from_iter([1..=3]);
    /// let mut b = RangeSetBlaze::new();
    ///
    /// assert_eq!(a.is_disjoint(&b), true);
    /// b.insert(4);
    /// assert_eq!(a.is_disjoint(&b), true);
    /// b.insert(1);
    /// assert_eq!(a.is_disjoint(&b), false);
    /// ```
    #[must_use]
    #[inline]
    #[allow(clippy::wrong_self_convention)]
    fn is_disjoint<R>(self, other: R) -> bool
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        self.intersection(other).is_empty()
    }

    /// Create a [`RangeSetBlaze`] from a [`SortedDisjoint`] iterator.
    ///
    /// *For more about constructors and performance, see [`RangeSetBlaze` Constructors](struct.RangeSetBlaze.html#constructors).*
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a0 = RangeSetBlaze::from_sorted_disjoint(CheckSortedDisjoint::from([-10..=-5, 1..=2]));
    /// let a1: RangeSetBlaze<i32> = CheckSortedDisjoint::from([-10..=-5, 1..=2]).into_range_set_blaze();
    /// assert!(a0 == a1 && a0.into_string() == "-10..=-5, 1..=2");
    /// ```
    fn into_range_set_blaze(self) -> RangeSetBlaze<T>
    where
        Self: Sized,
    {
        RangeSetBlaze::from_sorted_disjoint(self)
    }
}

/// Gives the [`SortedDisjoint`] trait to any iterator of ranges. The iterator will panic
/// if/when it finds that the ranges are not actually sorted and disjoint.
///
/// # Performance
///
/// All checking is done at runtime, but it should still be fast.
///
/// # Example
///
/// ```
/// use range_set_blaze::prelude::*;
///
/// let a = CheckSortedDisjoint::new([1..=2, 5..=100]);
/// let b = CheckSortedDisjoint::from([2..=6]);
/// let union = a | b;
/// assert_eq!(union.into_string(), "1..=100");
/// ```
///
/// Here the ranges are not sorted and disjoint, so the iterator will panic.
///```should_panic
/// use range_set_blaze::prelude::*;
///
/// let a = CheckSortedDisjoint::new([1..=2, 5..=100]);
/// let b = CheckSortedDisjoint::from([2..=6,-10..=-5]);
/// let union = a | b;
/// assert_eq!(union.into_string(), "1..=100");
/// ```
#[derive(Debug, Clone)]
#[must_use = "iterators are lazy and do nothing unless consumed"]
pub struct CheckSortedDisjoint<T, I>
where
    T: Integer,
    I: Iterator<Item = RangeInclusive<T>> + FusedIterator,
{
    pub(crate) iter: I,
    prev_end: Option<T>,
    seen_none: bool,
}

// cmk0 change new to accept into_iter. Update from/into to use the new new and update examples
impl<T, I> CheckSortedDisjoint<T, I>
where
    T: Integer,
    I: Iterator<Item = RangeInclusive<T>> + FusedIterator,
{
    /// Creates a new [`CheckSortedDisjoint`] from an iterator of ranges. See [`CheckSortedDisjoint`] for details and examples.
    pub fn new<J: IntoIterator<IntoIter = I>>(iter: J) -> Self {
        CheckSortedDisjoint {
            iter: iter.into_iter(),
            prev_end: None,
            seen_none: false,
        }
    }
}

impl<T> Default for CheckSortedDisjoint<T, array::IntoIter<RangeInclusive<T>, 0>>
where
    T: Integer,
{
    // Default is an empty iterator.
    fn default() -> Self {
        Self::new([])
        // cmk00 Self::new(I::default())
    }
}

impl<T, I> FusedIterator for CheckSortedDisjoint<T, I>
where
    T: Integer,
    I: Iterator<Item = RangeInclusive<T>> + FusedIterator,
{
}

impl<T, I> Iterator for CheckSortedDisjoint<T, I>
where
    T: Integer,
    I: Iterator<Item = RangeInclusive<T>> + FusedIterator,
{
    type Item = RangeInclusive<T>;

    fn next(&mut self) -> Option<Self::Item> {
        let next = self.iter.next();

        let Some(range) = next.as_ref() else {
            self.seen_none = true;
            return next;
        };

        assert!(
            !self.seen_none,
            "iterator cannot return Some after returning None"
        );
        let (start, end) = range.clone().into_inner();
        assert!(start <= end, "start must be less or equal to end");
        assert!(
            end <= T::safe_max_value(),
            "end must be less than or equal to safe_max_value"
        );
        if let Some(prev_end) = self.prev_end {
            assert!(
                prev_end < T::safe_max_value() && prev_end + T::one() < start,
                "ranges must be disjoint"
            );
        }
        self.prev_end = Some(end);

        next
    }

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

impl<T: Integer, const N: usize> From<[RangeInclusive<T>; N]>
    for CheckSortedDisjoint<T, array::IntoIter<RangeInclusive<T>, N>>
{
    /// You may create a [`CheckSortedDisjoint`] from an array of integers.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a0 = CheckSortedDisjoint::from([1..=3, 100..=100]);
    /// let a1: CheckSortedDisjoint<_,_> = [1..=3, 100..=100].into();
    /// assert_eq!(a0.into_string(), "1..=3, 100..=100");
    /// assert_eq!(a1.into_string(), "1..=3, 100..=100");
    /// ```
    fn from(arr: [RangeInclusive<T>; N]) -> Self {
        let iter = arr.into_iter();
        Self::new(iter)
    }
}

pub trait AnythingGoes<T: Integer>: Iterator<Item = RangeInclusive<T>> + FusedIterator {}
impl<T: Integer, I> AnythingGoes<T> for I where I: Iterator<Item = RangeInclusive<T>> + FusedIterator
{}

/// cmk doc
#[macro_export]
macro_rules! impl_sorted_traits_and_ops {
    ($IterType:ty, $($more_generics:tt)*) => {
        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T: Integer> SortedStarts<T> for $IterType {}
        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T: Integer> SortedDisjoint<T> for $IterType {}

        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T: Integer> ops::Not for $IterType
        {
            type Output = NotIter<T, Self>;

            fn not(self) -> Self::Output {
                self.complement()
            }
        }

        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T: Integer, R> ops::BitOr<R> for $IterType
        where
            R: SortedDisjoint<T>,
        {
            type Output = BitOrMerge<T, Self, R>;

            fn bitor(self, other: R) -> Self::Output {
                SortedDisjoint::union(self, other)
            }
        }

        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T: Integer, R> ops::Sub<R> for $IterType
        where
            R: SortedDisjoint<T>,
        {
            type Output = BitSubMerge<T, Self, R>;

            fn sub(self, other: R) -> Self::Output {
                // It would be fun to optimize !!self.iter into self.iter
                // but that would require also considering fields 'start_not' and 'next_time_return_none'.
                SortedDisjoint::difference(self, other)
            }
        }

        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T: Integer, R> ops::BitXor<R> for $IterType
        where
            R: SortedDisjoint<T>,
        {
            type Output = BitXorMerge<T, Self, R>;

            #[allow(clippy::suspicious_arithmetic_impl)]
            fn bitxor(self, other: R) -> Self::Output {
                SortedDisjoint::symmetric_difference(self, other)
            }
        }

        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T: Integer, R> ops::BitAnd<R> for $IterType
        where
            R: SortedDisjoint<T>,
        {
            type Output = BitAndMerge<T, Self, R>;

            fn bitand(self, other: R) -> Self::Output {
                SortedDisjoint::intersection(self, other)
            }
        }
    };
}

// cmk CheckList: Be sure that these are all tested in 'test_every_sorted_disjoint_method'

impl_sorted_traits_and_ops!(CheckSortedDisjoint<T, I>, I: AnythingGoes<T>);
impl_sorted_traits_and_ops!(NotIter<T, I>, I: SortedDisjoint<T>);
impl_sorted_traits_and_ops!(MapIntoRangesIter<T, V>, V: ValueOwned);
impl_sorted_traits_and_ops!(MapRangesIter<'a, T, V>, 'a, V: ValueOwned);
impl_sorted_traits_and_ops!(DynSortedDisjoint<'a, T>, 'a);
impl_sorted_traits_and_ops!(RangeValuesToRangesIter<T, V, VR, I>, V: ValueOwned, VR: CloneBorrow<V>, I: SortedDisjointMap<T, V, VR>);
impl_sorted_traits_and_ops!(SymDiffIter<T, I>, I: SortedStarts<T>);
impl_sorted_traits_and_ops!(UnionIter<T, I>, I: SortedStarts<T>);
impl_sorted_traits_and_ops!(RangesIter<'a, T>, 'a);
impl_sorted_traits_and_ops!(IntoRangesIter<T>, 'ignore);

// We're not allowed to define methods on outside types, so we only define the traits
// cmk0
// impl<T: Integer, I: SortedStarts<T>> SortedStarts<T> for Tee<I> {}
// impl<T: Integer, I: SortedDisjoint<T>> SortedDisjoint<T> for Tee<I> {}