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
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
use crate::map::BitSubRangesMap;
use crate::range_values::RangeValuesIter;
use crate::range_values::RangeValuesToRangesIter;
use crate::sym_diff_iter_map::SymDiffIterMap;
use crate::BitOrMapMerge;
use crate::BitXorMapMerge;
use crate::DynSortedDisjointMap;
use alloc::format;
use alloc::string::String;
use alloc::vec::Vec;
use core::cmp::Ordering;
use core::fmt::Debug;
use core::iter::FusedIterator;
use core::marker::PhantomData;
// use alloc::format;
// use alloc::string::String;
// use core::{
//     iter::FusedIterator,
//     ops::{self, RangeInclusive},
// };
use crate::intersection_iter_map::IntersectionIterMap;
use crate::map::BitAndRangesMap;
use crate::map::CloneBorrow;
use crate::sorted_disjoint::SortedDisjoint;
use crate::NotIter;
use crate::{map::ValueOwned, union_iter_map::UnionIterMap, Integer, RangeMapBlaze};
use core::ops;
use core::ops::RangeInclusive;

/// Internally, a trait used to mark iterators that provide ranges sorted by start, but not necessarily by end,
/// and may overlap.
#[doc(hidden)] // cmk don't hide so much stuff.ks
pub trait SortedStartsMap<T, V, VR>:
    Iterator<Item = (RangeInclusive<T>, VR)> + FusedIterator
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
}

/// This is sorted by starts and contains priority information, but it is not sorted by priority.
pub trait PrioritySortedStartsMap<T, V, VR>:
    Iterator<Item = Priority<T, V, VR>> + FusedIterator
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
}

/// This is sorted and disjoint and contains priority information, but it is not sorted by priority.
pub trait PrioritySortedDisjointMap<T, V, VR>: PrioritySortedStartsMap<T, V, VR>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
}

/// 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
/// * [`SortedDisjointMap` Constructors](#SortedDisjointMap-constructors)
///   * [Examples](#constructor-examples)
/// * [`SortedDisjointMap` Set and Other Operations](#SortedDisjointMap-set-and-other-operations)
///   * [Performance](#performance)
///   * [Examples](#examples)
/// * [How to mark your type as `SortedDisjointMap`](#how-to-mark-your-type-as-SortedDisjointMap)
///   * [Example – Find the ordinal weekdays in September 2023](#example--find-the-ordinal-weekdays-in-september-2023)
///
/// # `SortedDisjointMap` Constructors
///
/// You'll usually construct a `SortedDisjointMap` iterator from a [`RangeMapBlaze`] or a [`CheckSortedDisjointMap`].
/// Here is a summary table, followed by [examples](#constructor-examples). You can also [define your own
/// `SortedDisjointMap`](#how-to-mark-your-type-as-SortedDisjointMap).
///
/// | Input type | Method |
/// |------------|--------|
/// | [`RangeMapBlaze`] | [`ranges`] |
/// | [`RangeMapBlaze`] | [`into_ranges`] |
/// | [`RangeMapBlaze`]'s [`RangesIter`] | [`clone`] |
/// | sorted & disjoint ranges | [`CheckSortedDisjointMap::new`] |
/// | `SortedDisjointMap` iterator | [itertools `tee`] |
/// | `SortedDisjointMap` iterator | [`crate::dyn_sorted_disjoint::DynSortedDisjointMap::new`] |
/// |  *your iterator type* | *[How to mark your type as `SortedDisjointMap`][1]* |
///
/// [`ranges`]: RangeMapBlaze::ranges
/// [`into_ranges`]: RangeMapBlaze::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-SortedDisjointMap
/// [`RangesIter`]: crate::RangesIter
///
/// ## Constructor Examples
///
/// ```
/// use range_set_blaze::prelude::*;
/// use itertools::Itertools;
///
/// // RangeMapBlaze's .ranges(), .range().clone() and .into_ranges()
/// let r = RangeMapBlaze::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 'RangeMapBlaze'
/// let a = RangeMapBlaze::from_iter([3, 2, 1, 100, 1]).into_ranges();
/// assert!(a.into_string() == "1..=3, 100..=100");
///
/// // CheckSortedDisjointMap -- unsorted or overlapping input ranges will cause a panic.
/// let a = CheckSortedDisjointMap::new([1..=3, 100..=100]);
/// assert!(a.into_string() == "1..=3, 100..=100");
///
/// // tee of a SortedDisjointMap iterator
/// let a = CheckSortedDisjointMap::new([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");
///
/// // DynamicSortedDisjointMap of a SortedDisjointMap iterator
/// let a = CheckSortedDisjointMap::new([1..=3, 100..=100]);
/// let b = DynSortedDisjointMap::new(a);
/// assert!(b.into_string() == "1..=3, 100..=100");
/// ```
///
/// # `SortedDisjointMap` Set Operations
///
/// | Method | Operator | Multiway (same type) | Multiway (different types) |
/// |--------|----------|----------------------|----------------------------|
/// | `a.`[`union`]`(b)` | `a` &#124; `b` | `[a, b, c].`[`union`][crate::MultiwaySortedDisjointMap::union]`()` | [`crate::MultiwayRangeSetBlaze::union`]`!(a, b, c)` |
/// | `a.`[`intersection`]`(b)` | `a & b` | `[a, b, c].`[`intersection`][crate::MultiwaySortedDisjointMap::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 = RangeMapBlaze::from_iter([1..=2, 5..=100]);
/// let b0 = RangeMapBlaze::from_iter([2..=6]);
/// let c0 = RangeMapBlaze::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(CheckSortedDisjointMap::new([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 `SortedDisjointMap`
///
/// To mark your iterator type as `SortedDisjointMap`, you implement the `SortedStartsMap` and `SortedDisjointMap` 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::{SortedDisjointMap, SortedStartsMap};`
///
/// [`BitAnd`]: https://doc.rust-lang.org/std/ops/trait.BitAnd.html
/// [`Not`]: https://doc.rust-lang.org/std/ops/trait.Not.html
/// [`intersection`]: SortedDisjointMap::intersection
/// [`complement`]: SortedDisjointMap::complement
/// [`union`]: SortedDisjointMap::union
/// [`symmetric_difference`]: SortedDisjointMap::symmetric_difference
/// [`difference`]: SortedDisjointMap::difference
/// [`to_string`]: SortedDisjointMap::to_string
/// [`equal`]: SortedDisjointMap::equal
/// [multiway_union]: crate::MultiwaySortedDisjointMap::union
/// [multiway_intersection]: crate::MultiwaySortedDisjointMap::intersection
///
/// ## Example -- Find the ordinal weekdays in September 2023
/// ```
/// use core::ops::RangeInclusive;
/// pub use range_set_blaze::{SortedDisjointMap, SortedStartsMap};
///
/// // 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 SortedStartsMap<i32> for OrdinalWeekends2023 {}
/// impl SortedDisjointMap<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 = CheckSortedDisjointMap::new([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 SortedDisjointMap<T, V, VR>: SortedStartsMap<T, V, VR>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
    ///cmk
    #[inline]
    fn into_sorted_disjoint(self) -> RangeValuesToRangesIter<T, V, VR, Self>
    where
        Self: Sized,
    {
        RangeValuesToRangesIter::new(self)
    }
    // 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 [`SortedDisjointMap`] iterators, efficiently returns a [`SortedDisjointMap`] iterator of their union.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjointMap::new([1..=1]);
    /// let b = RangeMapBlaze::from_iter([2..=2]).into_ranges();
    /// let union = a.union(b);
    /// assert_eq!(union.into_string(), "1..=2");
    ///
    /// // Alternatively, we can use "|" because CheckSortedDisjointMap defines
    /// // ops::bitor as SortedDisjointMap::union.
    /// let a = CheckSortedDisjointMap::new([1..=1]);
    /// let b = RangeMapBlaze::from_iter([2..=2]).into_ranges();
    /// let union = a | b;
    /// assert_eq!(union.into_string(), "1..=2");
    /// ```
    #[inline]
    fn union<R>(self, other: R) -> BitOrMapMerge<T, V, VR, Self, R::IntoIter>
    where
        // cmk why must say SortedDisjointMap here by sorted_disjoint doesn't.
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjointMap<T, V, VR>,
        Self: Sized,
    {
        // cmk why this into iter stuff that is not used?
        UnionIterMap::new2(self, other.into_iter())
    }

    /// Given two [`SortedDisjointMap`] iterators, efficiently returns a [`SortedDisjointMap`] iterator of their intersection.
    ///
    /// /// cmk Tell that right-and-side must be a set, not a map
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::from_iter([2..=3]).into_ranges();
    /// let intersection = a.intersection(b);
    /// assert_eq!(intersection.into_string(), "2..=2");
    ///
    /// // Alternatively, we can use "&" because CheckSortedDisjointMap defines
    /// // ops::bitand as SortedDisjointMap::intersection.
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::from_iter([2..=3]).into_ranges();
    /// let intersection = a & b;
    /// assert_eq!(intersection.into_string(), "2..=2");
    /// ```
    #[inline]
    fn intersection<R>(
        self,
        other: R,
    ) -> BitAndRangesMap<T, V, VR, Self, RangeValuesToRangesIter<T, V, VR, R::IntoIter>>
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjointMap<T, V, VR>,
        Self: Sized,
    {
        let sorted_disjoint_map = other.into_iter();
        let sorted_disjoint = sorted_disjoint_map.into_sorted_disjoint();
        IntersectionIterMap::new(self, sorted_disjoint)
    }

    /// Given two [`SortedDisjointMap`] iterators, efficiently returns a [`SortedDisjointMap`] iterator of their intersection.
    ///
    /// /// cmk Tell that right-and-side must be a set, not a map
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::from_iter([2..=3]).into_ranges();
    /// let intersection = a.intersection(b);
    /// assert_eq!(intersection.into_string(), "2..=2");
    ///
    /// // Alternatively, we can use "&" because CheckSortedDisjointMap defines
    /// // ops::bitand as SortedDisjointMap::intersection.
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::from_iter([2..=3]).into_ranges();
    /// let intersection = a & b;
    /// assert_eq!(intersection.into_string(), "2..=2");
    /// ```
    #[inline]
    fn intersection_with_set<R>(self, other: R) -> BitAndRangesMap<T, V, VR, Self, R::IntoIter>
    where
        R: IntoIterator<Item = RangeInclusive<T>>, // cmk0 is this bound needed?
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        let sorted_disjoint = other.into_iter();
        IntersectionIterMap::new(self, sorted_disjoint)
    }

    /// Given two [`SortedDisjointMap`] iterators, efficiently returns a [`SortedDisjointMap`] iterator of their set difference.
    ///
    /// cmk Tell that right-and-side must be a set, not a map
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::from_iter([2..=3]).into_ranges();
    /// let difference = a.difference(b);
    /// assert_eq!(difference.into_string(), "1..=1");
    ///
    /// // Alternatively, we can use "-" because CheckSortedDisjointMap defines
    /// // ops::sub as SortedDisjointMap::difference.
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::from_iter([2..=3]).into_ranges();
    /// let difference = a - b;
    /// assert_eq!(difference.into_string(), "1..=1");
    /// ```
    #[inline]
    fn difference<R>(
        self,
        other: R,
    ) -> BitSubRangesMap<T, V, VR, Self, RangeValuesToRangesIter<T, V, VR, R::IntoIter>>
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjointMap<T, V, VR>,
        Self: Sized,
    {
        let sorted_disjoint_map = other.into_iter();
        let complement = sorted_disjoint_map.complement_to_set();
        IntersectionIterMap::new(self, complement)
    }

    /// Given two [`SortedDisjointMap`] iterators, efficiently returns a [`SortedDisjointMap`] iterator of their set difference.
    ///
    /// cmk Tell that right-and-side must be a set, not a map
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::from_iter([2..=3]).into_ranges();
    /// let difference = a.difference(b);
    /// assert_eq!(difference.into_string(), "1..=1");
    ///
    /// // Alternatively, we can use "-" because CheckSortedDisjointMap defines
    /// // ops::sub as SortedDisjointMap::difference.
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::from_iter([2..=3]).into_ranges();
    /// let difference = a - b;
    /// assert_eq!(difference.into_string(), "1..=1");
    /// ```
    #[inline]
    fn difference_with_set<R>(self, other: R) -> BitSubRangesMap<T, V, VR, Self, R::IntoIter>
    where
        R: IntoIterator<Item = RangeInclusive<T>>,
        R::IntoIter: SortedDisjoint<T>,
        Self: Sized,
    {
        let sorted_disjoint = other.into_iter();
        let complement = sorted_disjoint.complement();
        IntersectionIterMap::new(self, complement)
    }

    /// cmk
    /// returns a set, not a map
    #[inline]
    fn complement_to_set(self) -> NotIter<T, RangeValuesToRangesIter<T, V, VR, Self>>
    where
        Self: Sized,
    {
        let sorted_disjoint = self.into_sorted_disjoint();
        sorted_disjoint.complement()
    }

    /// cmk
    /// returns a set, not a map
    #[inline]
    fn complement(self, v: &V) -> RangeToRangeValueIter<T, V, NotIter<T, impl SortedDisjoint<T>>>
    where
        Self: Sized,
    {
        let complement = self.complement_to_set();
        RangeToRangeValueIter::new(complement, v)
    }

    /// Given two [`SortedDisjointMap`] iterators, efficiently returns a [`SortedDisjointMap`] iterator
    /// of their symmetric difference.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::prelude::*;
    ///
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::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 CheckSortedDisjointMap defines
    /// // ops::bitxor as SortedDisjointMap::symmetric_difference.
    /// let a = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::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) -> BitXorMapMerge<T, V, VR, Self, R::IntoIter>
    where
        R: IntoIterator<Item = Self::Item>,
        R::IntoIter: SortedDisjointMap<T, V, VR>,
        Self: Sized,
        VR: CloneBorrow<V>,
    {
        SymDiffIterMap::new2(self, other.into_iter())
    }

    /// Given two [`SortedDisjointMap`] 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 = CheckSortedDisjointMap::new([1..=2]);
    /// let b = RangeMapBlaze::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: SortedDisjointMap<T, V, VR>,
        Self: Sized,
    {
        use itertools::Itertools;

        self.zip_longest(other.into_iter()).all(|pair| {
            match pair {
                itertools::EitherOrBoth::Both(
                    (self_range, self_value),
                    (other_range, other_value),
                ) => {
                    // Place your custom equality logic here for matching elements
                    self_range == other_range && self_value.borrow() == other_value.borrow()
                }
                _ => false, // Handles the case where iterators are of different lengths
            }
        })
    }

    /// Returns `true` if the set contains no elements.
    ///
    /// # Examples
    ///
    /// ```
    /// use range_set_blaze::RangeMapBlaze;
    ///
    /// let mut v = RangeMapBlaze::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 = CheckSortedDisjointMap::new([1..=3]);
    /// let set: CheckSortedDisjointMap<i32, _> = [].into();
    /// assert_eq!(set.is_subset(sup), true);
    ///
    /// let sup = CheckSortedDisjointMap::new([1..=3]);
    /// let set = CheckSortedDisjointMap::new([2..=2]);
    /// assert_eq!(set.is_subset(sup), true);
    ///
    /// let sup = CheckSortedDisjointMap::new([1..=3]);
    /// let set = CheckSortedDisjointMap::new([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: SortedDisjointMap<'a, T, V, VR>,
    //     Self: Sized,
    // {
    //     self.difference(other).is_empty()
    // }

    /// 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::RangeMapBlaze;
    ///
    /// let sub = RangeMapBlaze::from_iter([1, 2]);
    /// let mut set = RangeMapBlaze::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: SortedDisjointMap<'a, T, V, VR>,
    //     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::RangeMapBlaze;
    ///
    /// let a = RangeMapBlaze::from_iter([1..=3]);
    /// let mut b = RangeMapBlaze::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: SortedDisjointMap<'a, T, V, VR>,
    //     Self: Sized,
    // {
    //     self.intersection(other).is_empty()
    // }

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

/// Converts the implementing type into a String by consuming it.
/// It is intended for types where items are Debug-able.
pub trait IntoString {
    /// cmk doc
    fn into_string(self) -> String;
}

impl<T, I> IntoString for I
where
    T: Debug,
    I: Iterator<Item = T>,
{
    fn into_string(self) -> String {
        self.map(|item| format!("{:?}", item))
            .collect::<Vec<String>>()
            .join(", ")
    }
}

// cmk0
// impl<T: Integer, V: ValueOwned, VR, I: SortedStartsMap<T, V, VR>> SortedStartsMap<T, V, VR>
//     for Tee<I>
// where
//     VR: CloneBorrow<V> + Clone, // cmk is the clone a good idea?
// {
// }

// // If the inputs have sorted starts, the output is sorted and disjoint.
// impl<T: Integer, V: ValueOwned, VR, I: SortedStartsMap<T, V, VR>> SortedDisjointMap<T, V, VR>
//     for Tee<I>
// where
//     VR: CloneBorrow<V> + Clone, // cmk is the clone a good idea?
// {
// }

// impl<'a, T, V, VR> PartialEq for RangeValue<T, V, VR>
// where
//     T: Integer,
//     V: ValueOwned + 'a,
//     VR: CloneBorrow<V> + 'a,
// {
//     fn eq(&self, other: &Self) -> bool {
//         self.range == other.range && self.1.borrow() == other.1.borrow()
//     }
// }

// // Implement `Eq` because `BinaryHeap` requires it.
// impl<'a, T, V, VR> Eq for RangeValue<T, V, VR>
// where
//     T: Integer,
//     V: ValueOwned + 'a,
//     VR: CloneBorrow<V> + 'a,
// {
// }

/// Gives any iterator of cmk implements the [`SortedDisjointMap`] trait without any checking.
// cmk0 why was this hidden? check for others#[doc(hidden)]
/// doc
pub struct CheckSortedDisjointMap<T, V, VR, I>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
    I: Iterator<Item = (RangeInclusive<T>, VR)>,
{
    iter: I,
    seen_none: bool,
    previous: Option<(RangeInclusive<T>, VR)>,
    phantom_data: PhantomData<V>,
}

// define new
impl<T, V, VR, I> CheckSortedDisjointMap<T, V, VR, I>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
    I: Iterator<Item = (RangeInclusive<T>, VR)>,
{
    /// cmk doc
    pub fn new<J>(iter: J) -> Self
    where
        J: IntoIterator<Item = (RangeInclusive<T>, VR), IntoIter = I>,
    {
        CheckSortedDisjointMap {
            iter: iter.into_iter(),
            seen_none: false,
            previous: None,
            phantom_data: PhantomData,
        }
    }
}

impl<T, V, VR, I, J> From<J> for CheckSortedDisjointMap<T, V, VR, I>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
    I: Iterator<Item = (RangeInclusive<T>, VR)>,
    J: IntoIterator<Item = (RangeInclusive<T>, VR), IntoIter = I>,
{
    fn from(iter: J) -> Self {
        CheckSortedDisjointMap::new(iter)
    }
}

impl<T, V, VR, I> Default for CheckSortedDisjointMap<T, V, VR, I>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
    I: Iterator<Item = (RangeInclusive<T>, VR)> + Default,
{
    fn default() -> Self {
        // Utilize I::default() to satisfy the iterator requirement.
        Self::new(I::default())
    }
}
// implement fused
impl<T, V, VR, I> FusedIterator for CheckSortedDisjointMap<T, V, VR, I>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
    I: Iterator<Item = (RangeInclusive<T>, VR)>,
{
}

fn range_value_clone<T, V, VR>(range_value: &(RangeInclusive<T>, VR)) -> (RangeInclusive<T>, VR)
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
    let (range, value) = range_value;
    (range.clone(), value.clone_borrow())
}

// implement iterator
impl<T, V, VR, I> Iterator for CheckSortedDisjointMap<T, V, VR, I>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
    I: Iterator<Item = (RangeInclusive<T>, VR)>,
{
    type Item = (RangeInclusive<T>, VR);

    fn next(&mut self) -> Option<Self::Item> {
        let range_value = self.iter.next();
        let Some(range_value) = range_value else {
            self.seen_none = true;
            return None;
        };
        // cmk should test all these
        assert!(!self.seen_none, "A value must not be returned after None");
        let Some(previous) = self.previous.take() else {
            self.previous = Some(range_value_clone(&range_value));
            return Some(range_value);
        };

        let previous_end = *previous.0.end();
        let (start, end) = range_value.0.clone().into_inner();
        assert!(start <= end, "Start must be <= end.",);
        assert!(
            end <= T::safe_max_value(),
            "End must be <= T::safe_max_value()"
        );
        assert!(previous_end < start, "Ranges must be disjoint and sorted");
        if previous_end + T::one() == start {
            assert!(
                previous.1.borrow() != range_value.1.borrow(),
                "Touching ranges must have different values"
            );
        }
        self.previous = Some(range_value_clone(&range_value));
        Some(range_value_clone(&range_value))
    }

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

// // cmk00 check
// // cmk00 make Fused but don't require it

/// cmk doc
#[derive(Clone, Debug)]
pub struct Priority<T, V, VR>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
    range_value: (RangeInclusive<T>, VR),
    priority_number: usize,
    phantom_data: PhantomData<V>,
}

// new
impl<T, V, VR> Priority<T, V, VR>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
    /// cmk doc
    pub fn new(range_value: (RangeInclusive<T>, VR), priority_number: usize) -> Self {
        Self {
            range_value,
            priority_number,
            phantom_data: PhantomData,
        }
    }
}

impl<T, V, VR> Priority<T, V, VR>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
    /// Returns the priority number.
    pub fn priority_number(&self) -> usize {
        self.priority_number
    }
    /// Returns a reference to `range_value`.
    pub fn range_value(&self) -> &(RangeInclusive<T>, VR) {
        &self.range_value
    }

    /// Updates `range_value` with the given value.
    pub fn set_range_value(&mut self, value: (RangeInclusive<T>, VR)) {
        self.range_value = value;
    }

    /// Consumes `Priority` and returns `range_value`.
    pub fn into_range_value(self) -> (RangeInclusive<T>, VR) {
        self.range_value
    }

    /// Updates the range part of `range_value`.
    pub fn set_range(&mut self, range: RangeInclusive<T>) {
        self.range_value.0 = range;
    }

    /// Consumes `Priority` and returns the range part of `range_value`.
    pub fn into_range(self) -> RangeInclusive<T> {
        self.range_value.0
    }

    /// Returns the start of the range.
    pub fn start(&self) -> T {
        *self.range_value.0.start()
    }

    /// Returns the end of the range.
    pub fn end(&self) -> T {
        *self.range_value.0.end()
    }

    /// Returns the start and end of the range. (Assuming direct access to start and end)
    pub fn start_and_end(&self) -> (T, T) {
        (
            (*self.range_value.0.start()).clone(),
            (*self.range_value.0.end()).clone(),
        )
    }

    /// Returns a reference to the value part of `range_value`.
    pub fn value(&self) -> &VR {
        &self.range_value.1
    }
}
// Implement `PartialEq` to allow comparison (needed for `Eq`).
impl<T, V, VR> PartialEq for Priority<T, V, VR>
where
    T: Integer,
    V: ValueOwned,
    VR: CloneBorrow<V>,
{
    fn eq(&self, other: &Self) -> bool {
        let result_cmk = self.priority_number == other.priority_number;
        assert!(!result_cmk, "Don't expect identical priority numbers");
        result_cmk
    }
}

// Implement `Eq` because `BinaryHeap` requires it.
impl<'a, T, V, VR> Eq for Priority<T, V, VR>
where
    T: Integer,
    V: ValueOwned + 'a,
    VR: CloneBorrow<V> + 'a,
{
}

// Implement `Ord` so the heap knows how to compare elements.
impl<'a, T, V, VR> Ord for Priority<T, V, VR>
where
    T: Integer,
    V: ValueOwned + 'a,
    VR: CloneBorrow<V> + 'a,
{
    fn cmp(&self, other: &Self) -> Ordering {
        // smaller is better
        other.priority_number.cmp(&self.priority_number)
    }
}

// Implement `PartialOrd` to allow comparison (needed for `Ord`).
impl<'a, T, V, VR> PartialOrd for Priority<T, V, VR>
where
    T: Integer,
    V: ValueOwned + 'a,
    VR: CloneBorrow<V> + 'a,
{
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        Some(self.cmp(other))
    }
}

pub struct RangeToRangeValueIter<'a, T, V, I>
where
    T: Integer,
    V: ValueOwned,
    I: SortedDisjoint<T>,
{
    inner: I,
    value: &'a V,
    phantom: PhantomData<T>,
}

impl<'a, T, V, I> RangeToRangeValueIter<'a, T, V, I>
where
    T: Integer,
    V: ValueOwned,
    I: SortedDisjoint<T>,
{
    pub fn new(inner: I, value: &'a V) -> Self {
        Self {
            inner,
            value,
            phantom: PhantomData,
        }
    }
}

impl<T, V, I> FusedIterator for RangeToRangeValueIter<'_, T, V, I>
where
    T: Integer,
    V: ValueOwned,
    I: SortedDisjoint<T>,
{
}

impl<'a, T, V, I> Iterator for RangeToRangeValueIter<'a, T, V, I>
where
    T: Integer,
    V: ValueOwned,
    I: SortedDisjoint<T>,
{
    type Item = (RangeInclusive<T>, &'a V);

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

// implements SortedDisjointMap
impl<'a, T, V, I> SortedStartsMap<T, V, &'a V> for RangeToRangeValueIter<'a, T, V, I>
where
    T: Integer,
    V: ValueOwned,
    I: SortedDisjoint<T>,
{
}
impl<'a, T, V, I> SortedDisjointMap<T, V, &'a V> for RangeToRangeValueIter<'a, T, V, I>
where
    T: Integer,
    V: ValueOwned,
    I: SortedDisjoint<T>,
{
}

pub trait AnythingGoesMap<'a, T: Integer, V: ValueOwned + 'a, VR: CloneBorrow<V> + 'a>:
    Iterator<Item = (RangeInclusive<T>, VR)>
{
}

impl<'a, T, V, VR, I> AnythingGoesMap<'a, T, V, VR> for I
where
    T: Integer,
    V: ValueOwned + 'a,
    VR: CloneBorrow<V> + 'a,
    I: Iterator<Item = (RangeInclusive<T>, VR)>,
{
}

macro_rules! impl_sorted_map_traits_and_ops {
    ($IterType:ty, $V:ty, $VR:ty, $($more_generics:tt)*) => {

        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T> SortedStartsMap<T, $V, $VR> for $IterType
        where
            T: Integer,
        {
        }

        #[allow(single_use_lifetimes)]
        impl<$($more_generics)*, T> SortedDisjointMap<T, $V, $VR> for $IterType
        where
            T: Integer,
        {
        }

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

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

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

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

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

            fn sub(self, other: R) -> Self::Output {
                SortedDisjointMap::difference(self, other)
            }
        }

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

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

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

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

    }
}

// cmk CheckList: Be sure that these are all tested in 'test_every_sorted_disjoint_method'
impl_sorted_map_traits_and_ops!(CheckSortedDisjointMap<T, V, VR, I>, V, VR, V: ValueOwned, VR: CloneBorrow<V>, I: Iterator<Item = (RangeInclusive<T>,  VR)>);
impl_sorted_map_traits_and_ops!(UnionIterMap<T, V, VR, I>, V, VR, VR: CloneBorrow<V>, V: ValueOwned, I: PrioritySortedStartsMap<T, V, VR>);
impl_sorted_map_traits_and_ops!(IntersectionIterMap< T, V, VR, I0, I1>, V, VR, V: ValueOwned, VR: CloneBorrow<V>, I0: SortedDisjointMap<T, V, VR>, I1: SortedDisjoint<T>);
impl_sorted_map_traits_and_ops!(SymDiffIterMap<T, V, VR, I>, V, VR, VR: CloneBorrow<V>, V: ValueOwned, I: PrioritySortedStartsMap<T, V, VR>);
impl_sorted_map_traits_and_ops!(RangeValuesIter<'a, T, V>, V, &'a V, 'a, V: ValueOwned );
impl_sorted_map_traits_and_ops!(DynSortedDisjointMap<'a, T, V, VR>, V, VR, 'a, V: ValueOwned, VR: CloneBorrow<V>);
// cmk remove impl_sorted_map_traits_and_ops!(SortedDisjointToUnitMap<T, I>, (), &'static (), I: SortedDisjoint<T>);
// cmk RangeIter and IntoRangesIter