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
//-
// Copyright 2017, 2018 The proptest developers
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.

use crate::std_facade::{fmt, Arc, Box, Rc};
use core::cmp;

use crate::strategy::*;
use crate::test_runner::*;

//==============================================================================
// Traits
//==============================================================================

/// A new [`ValueTree`] from a [`Strategy`] when [`Ok`] or otherwise [`Err`]
/// when a new value-tree can not be produced for some reason such as
/// in the case of filtering with a predicate which always returns false.
/// You should pass in your strategy as the type parameter.
///
/// [`Strategy`]: trait.Strategy.html
/// [`ValueTree`]: trait.ValueTree.html
/// [`Ok`]: https://doc.rust-lang.org/nightly/std/result/enum.Result.html#variant.Ok
/// [`Err`]: https://doc.rust-lang.org/nightly/std/result/enum.Result.html#variant.Err
pub type NewTree<S> = Result<<S as Strategy>::Tree, Reason>;

/// A strategy for producing arbitrary values of a given type.
///
/// `fmt::Debug` is a hard requirement for all strategies currently due to
/// `prop_flat_map()`. This constraint will be removed when specialisation
/// becomes stable.
#[must_use = "strategies do nothing unless used"]
pub trait Strategy: fmt::Debug {
    /// The value tree generated by this `Strategy`.
    type Tree: ValueTree<Value = Self::Value>;

    /// The type of value used by functions under test generated by this Strategy.
    ///
    /// This corresponds to the same type as the associated type `Value`
    /// in `Self::Tree`. It is provided here to simplify usage particularly
    /// in conjunction with `-> impl Strategy<Value = MyType>`.
    type Value: fmt::Debug;

    /// Generate a new value tree from the given runner.
    ///
    /// This may fail if there are constraints on the generated value and the
    /// generator is unable to produce anything that satisfies them. Any
    /// failure is wrapped in `TestError::Abort`.
    ///
    /// This method is generally expected to be deterministic. That is, given a
    /// `TestRunner` with its RNG in a particular state, this should produce an
    /// identical `ValueTree` every time. Non-deterministic strategies do not
    /// cause problems during normal operation, but they do break failure
    /// persistence since it is implemented by simply saving the seed used to
    /// generate the test case.
    fn new_tree(&self, runner: &mut TestRunner) -> NewTree<Self>;

    /// Returns a strategy which produces values transformed by the function
    /// `fun`.
    ///
    /// There is no need (or possibility, for that matter) to define how the
    /// output is to be shrunken. Shrinking continues to take place in terms of
    /// the source value.
    ///
    /// `fun` should be a deterministic function. That is, for a given input
    /// value, it should produce an equivalent output value on every call.
    /// Proptest assumes that it can call the function as many times as needed
    /// to generate as many identical values as needed. For this reason, `F` is
    /// `Fn` rather than `FnMut`.
    fn prop_map<O: fmt::Debug, F: Fn(Self::Value) -> O>(
        self,
        fun: F,
    ) -> Map<Self, F>
    where
        Self: Sized,
    {
        Map {
            source: self,
            fun: Arc::new(fun),
        }
    }

    /// Returns a strategy which produces values of type `O` by transforming
    /// `Self` with `Into<O>`.
    ///
    /// You should always prefer this operation instead of `prop_map` when
    /// you can as it is both clearer and also currently more efficient.
    ///
    /// There is no need (or possibility, for that matter) to define how the
    /// output is to be shrunken. Shrinking continues to take place in terms of
    /// the source value.
    fn prop_map_into<O: fmt::Debug>(self) -> MapInto<Self, O>
    where
        Self: Sized,
        Self::Value: Into<O>,
    {
        MapInto::new(self)
    }

    /// Returns a strategy which produces values transformed by the function
    /// `fun`, which is additionally given a random number generator.
    ///
    /// This is exactly like `prop_map()` except for the addition of the second
    /// argument to the function. This allows introducing chaotic variations to
    /// generated values that are not easily expressed otherwise while allowing
    /// shrinking to proceed reasonably.
    ///
    /// During shrinking, `fun` is always called with an identical random
    /// number generator, so if it is a pure function it will always perform
    /// the same perturbation.
    ///
    /// ## Example
    ///
    /// ```
    /// // The prelude also gets us the `Rng` trait.
    /// use proptest::prelude::*;
    ///
    /// proptest! {
    ///   #[test]
    ///   fn test_something(a in (0i32..10).prop_perturb(
    ///       // Perturb the integer `a` (range 0..10) to a pair of that
    ///       // integer and another that's ± 10 of it.
    ///       // Note that this particular case would be better implemented as
    ///       // `(0i32..10, -10i32..10).prop_map(|(a, b)| (a, a + b))`
    ///       // but is shown here for simplicity.
    ///       |centre, rng| (centre, centre + rng.gen_range(-10, 10))))
    ///   {
    ///       // Test stuff
    ///   }
    /// }
    /// # fn main() { }
    /// ```
    fn prop_perturb<O: fmt::Debug, F: Fn(Self::Value, TestRng) -> O>(
        self,
        fun: F,
    ) -> Perturb<Self, F>
    where
        Self: Sized,
    {
        Perturb {
            source: self,
            fun: Arc::new(fun),
        }
    }

    /// Maps values produced by this strategy into new strategies and picks
    /// values from those strategies.
    ///
    /// `fun` is used to transform the values produced by this strategy into
    /// other strategies. Values are then chosen from the derived strategies.
    /// Shrinking proceeds by shrinking individual values as well as shrinking
    /// the input used to generate the internal strategies.
    ///
    /// ## Shrinking
    ///
    /// In the case of test failure, shrinking will not only shrink the output
    /// from the combinator itself, but also the input, i.e., the strategy used
    /// to generate the output itself. Doing this requires searching the new
    /// derived strategy for a new failing input. The combinator will generate
    /// up to `Config::cases` values for this search.
    ///
    /// As a result, nested `prop_flat_map`/`Flatten` combinators risk
    /// exponential run time on this search for new failing values. To ensure
    /// that test failures occur within a reasonable amount of time, all of
    /// these combinators share a single "flat map regen" counter, and will
    /// stop generating new values if it exceeds `Config::max_flat_map_regens`.
    ///
    /// ## Example
    ///
    /// Generate two integers, where the second is always less than the first,
    /// without using filtering:
    ///
    /// ```
    /// use proptest::prelude::*;
    ///
    /// proptest! {
    ///   # /*
    ///   #[test]
    ///   # */
    ///   fn test_two(
    ///     // Pick integers in the 1..65536 range, and derive a strategy
    ///     // which emits a tuple of that integer and another one which is
    ///     // some value less than it.
    ///     (a, b) in (1..65536).prop_flat_map(|a| (Just(a), 0..a))
    ///   ) {
    ///     prop_assert!(b < a);
    ///   }
    /// }
    /// #
    /// # fn main() { test_two(); }
    /// ```
    ///
    /// ## Choosing the right flat-map
    ///
    /// `Strategy` has three "flat-map" combinators. They look very similar at
    /// first, and can be used to produce superficially identical test results.
    /// For example, the following three expressions all produce inputs which
    /// are 2-tuples `(a,b)` where the `b` component is less than `a`.
    ///
    /// ```no_run
    /// # #![allow(unused_variables)]
    /// use proptest::prelude::*;
    ///
    /// let flat_map = (1..10).prop_flat_map(|a| (Just(a), 0..a));
    /// let ind_flat_map = (1..10).prop_ind_flat_map(|a| (Just(a), 0..a));
    /// let ind_flat_map2 = (1..10).prop_ind_flat_map2(|a| 0..a);
    /// ```
    ///
    /// The three do differ however in terms of how they shrink.
    ///
    /// For `flat_map`, both `a` and `b` will shrink, and the invariant that
    /// `b < a` is maintained. This is a "dependent" or "higher-order" strategy
    /// in that it remembers that the strategy for choosing `b` is dependent on
    /// the value chosen for `a`.
    ///
    /// For `ind_flat_map`, the invariant `b < a` is maintained, but only
    /// because `a` does not shrink. This is due to the fact that the
    /// dependency between the strategies is not tracked; `a` is simply seen as
    /// a constant.
    ///
    /// Finally, for `ind_flat_map2`, the invariant `b < a` is _not_
    /// maintained, because `a` can shrink independently of `b`, again because
    /// the dependency between the two variables is not tracked, but in this
    /// case the derivation of `a` is still exposed to the shrinking system.
    ///
    /// The use-cases for the independent flat-map variants is pretty narrow.
    /// For the majority of cases where invariants need to be maintained and
    /// you want all components to shrink, `prop_flat_map` is the way to go.
    /// `prop_ind_flat_map` makes the most sense when the input to the map
    /// function is not exposed in the output and shrinking across strategies
    /// is not expected to be useful. `prop_ind_flat_map2` is useful for using
    /// related values as starting points while not constraining them to that
    /// relation.
    fn prop_flat_map<S: Strategy, F: Fn(Self::Value) -> S>(
        self,
        fun: F,
    ) -> Flatten<Map<Self, F>>
    where
        Self: Sized,
    {
        Flatten::new(Map {
            source: self,
            fun: Arc::new(fun),
        })
    }

    /// Maps values produced by this strategy into new strategies and picks
    /// values from those strategies while considering the new strategies to be
    /// independent.
    ///
    /// This is very similar to `prop_flat_map()`, but shrinking will *not*
    /// attempt to shrink the input that produces the derived strategies. This
    /// is appropriate for when the derived strategies already fully shrink in
    /// the desired way.
    ///
    /// In most cases, you want `prop_flat_map()`.
    ///
    /// See `prop_flat_map()` for a more detailed explanation on how the
    /// three flat-map combinators differ.
    fn prop_ind_flat_map<S: Strategy, F: Fn(Self::Value) -> S>(
        self,
        fun: F,
    ) -> IndFlatten<Map<Self, F>>
    where
        Self: Sized,
    {
        IndFlatten(Map {
            source: self,
            fun: Arc::new(fun),
        })
    }

    /// Similar to `prop_ind_flat_map()`, but produces 2-tuples with the input
    /// generated from `self` in slot 0 and the derived strategy in slot 1.
    ///
    /// See `prop_flat_map()` for a more detailed explanation on how the
    /// three flat-map combinators differ differ.
    fn prop_ind_flat_map2<S: Strategy, F: Fn(Self::Value) -> S>(
        self,
        fun: F,
    ) -> IndFlattenMap<Self, F>
    where
        Self: Sized,
    {
        IndFlattenMap {
            source: self,
            fun: Arc::new(fun),
        }
    }

    /// Returns a strategy which only produces values accepted by `fun`.
    ///
    /// This results in a very naïve form of rejection sampling and should only
    /// be used if (a) relatively few values will actually be rejected; (b) it
    /// isn't easy to express what you want by using another strategy and/or
    /// `map()`.
    ///
    /// There are a lot of downsides to this form of filtering. It slows
    /// testing down, since values must be generated but then discarded.
    /// Proptest only allows a limited number of rejects this way (across the
    /// entire `TestRunner`). Rejection can interfere with shrinking;
    /// particularly, complex filters may largely or entirely prevent shrinking
    /// from substantially altering the original value.
    ///
    /// Local rejection sampling is still preferable to rejecting the entire
    /// input to a test (via `TestCaseError::Reject`), however, and the default
    /// number of local rejections allowed is much higher than the number of
    /// whole-input rejections.
    ///
    /// `whence` is used to record where and why the rejection occurred.
    fn prop_filter<R: Into<Reason>, F: Fn(&Self::Value) -> bool>(
        self,
        whence: R,
        fun: F,
    ) -> Filter<Self, F>
    where
        Self: Sized,
    {
        Filter::new(self, whence.into(), fun)
    }

    /// Returns a strategy which only produces transformed values where `fun`
    /// returns `Some(value)` and rejects those where `fun` returns `None`.
    ///
    /// Using this method is preferable to using `.prop_map(..).prop_filter(..)`.
    ///
    /// This results in a very naïve form of rejection sampling and should only
    /// be used if (a) relatively few values will actually be rejected; (b) it
    /// isn't easy to express what you want by using another strategy and/or
    /// `map()`.
    ///
    /// There are a lot of downsides to this form of filtering. It slows
    /// testing down, since values must be generated but then discarded.
    /// Proptest only allows a limited number of rejects this way (across the
    /// entire `TestRunner`). Rejection can interfere with shrinking;
    /// particularly, complex filters may largely or entirely prevent shrinking
    /// from substantially altering the original value.
    ///
    /// Local rejection sampling is still preferable to rejecting the entire
    /// input to a test (via `TestCaseError::Reject`), however, and the default
    /// number of local rejections allowed is much higher than the number of
    /// whole-input rejections.
    ///
    /// `whence` is used to record where and why the rejection occurred.
    fn prop_filter_map<F: Fn(Self::Value) -> Option<O>, O: fmt::Debug>(
        self,
        whence: impl Into<Reason>,
        fun: F,
    ) -> FilterMap<Self, F>
    where
        Self: Sized,
    {
        FilterMap::new(self, whence.into(), fun)
    }

    /// Returns a strategy which picks uniformly from `self` and `other`.
    ///
    /// When shrinking, if a value from `other` was originally chosen but that
    /// value can be shrunken no further, it switches to a value from `self`
    /// and starts shrinking that.
    ///
    /// Be aware that chaining `prop_union` calls will result in a very
    /// right-skewed distribution. If this is not what you want, you can call
    /// the `.or()` method on the `Union` to add more values to the same union,
    /// or directly call `Union::new()`.
    ///
    /// Both `self` and `other` must be of the same type. To combine
    /// heterogeneous strategies, call the `boxed()` method on both `self` and
    /// `other` to erase the type differences before calling `prop_union()`.
    fn prop_union(self, other: Self) -> Union<Self>
    where
        Self: Sized,
    {
        Union::new(vec![self, other])
    }

    /// Generate a recursive structure with `self` items as leaves.
    ///
    /// `recurse` is applied to various strategies that produce the same type
    /// as `self` with nesting depth _n_ to create a strategy that produces the
    /// same type with nesting depth _n+1_. Generated structures will have a
    /// depth between 0 and `depth` and will usually have up to `desired_size`
    /// total elements, though they may have more. `expected_branch_size` gives
    /// the expected maximum size for any collection which may contain
    /// recursive elements and is used to control branch probability to achieve
    /// the desired size. Passing a too small value can result in trees vastly
    /// larger than desired.
    ///
    /// Note that `depth` only counts branches; i.e., `depth = 0` is a single
    /// leaf, and `depth = 1` is a leaf or a branch containing only leaves.
    ///
    /// In practise, generated values usually have a lower depth than `depth`
    /// (but `depth` is a hard limit) and almost always under
    /// `expected_branch_size` (though it is not a hard limit) since the
    /// underlying code underestimates probabilities.
    ///
    /// Shrinking shrinks both the inner values and attempts switching from
    /// recursive to non-recursive cases.
    ///
    /// ## Example
    ///
    /// ```rust,no_run
    /// # #![allow(unused_variables)]
    /// use std::collections::HashMap;
    ///
    /// use proptest::prelude::*;
    ///
    /// /// Define our own JSON AST type
    /// #[derive(Debug, Clone)]
    /// enum JsonNode {
    ///   Null,
    ///   Bool(bool),
    ///   Number(f64),
    ///   String(String),
    ///   Array(Vec<JsonNode>),
    ///   Map(HashMap<String, JsonNode>),
    /// }
    ///
    /// # fn main() {
    /// #
    /// // Define a strategy for generating leaf nodes of the AST
    /// let json_leaf = prop_oneof![
    ///   Just(JsonNode::Null),
    ///   prop::bool::ANY.prop_map(JsonNode::Bool),
    ///   prop::num::f64::ANY.prop_map(JsonNode::Number),
    ///   ".*".prop_map(JsonNode::String),
    /// ];
    ///
    /// // Now define a strategy for a whole tree
    /// let json_tree = json_leaf.prop_recursive(
    ///   4, // No more than 4 branch levels deep
    ///   64, // Target around 64 total elements
    ///   16, // Each collection is up to 16 elements long
    ///   |element| prop_oneof![
    ///     // NB `element` is an `Arc` and we'll need to reference it twice,
    ///     // so we clone it the first time.
    ///     prop::collection::vec(element.clone(), 0..16)
    ///       .prop_map(JsonNode::Array),
    ///     prop::collection::hash_map(".*", element, 0..16)
    ///       .prop_map(JsonNode::Map)
    ///   ]);
    /// # }
    /// ```
    fn prop_recursive<
        R: Strategy<Value = Self::Value> + 'static,
        F: Fn(BoxedStrategy<Self::Value>) -> R,
    >(
        self,
        depth: u32,
        desired_size: u32,
        expected_branch_size: u32,
        recurse: F,
    ) -> Recursive<Self::Value, F>
    where
        Self: Sized + 'static,
    {
        Recursive::new(self, depth, desired_size, expected_branch_size, recurse)
    }

    /// Shuffle the contents of the values produced by this strategy.
    ///
    /// That is, this modifies a strategy producing a `Vec`, slice, etc, to
    /// shuffle the contents of that `Vec`/slice/etc.
    ///
    /// Initially, the value is fully shuffled. During shrinking, the input
    /// value will initially be unchanged while the result will gradually be
    /// restored to its original order. Once de-shuffling either completes or
    /// is cancelled by calls to `complicate()` pinning it to a particular
    /// permutation, the inner value will be simplified.
    ///
    /// ## Example
    ///
    /// ```
    /// use proptest::prelude::*;
    ///
    /// static VALUES: &'static [u32] = &[0, 1, 2, 3, 4];
    ///
    /// fn is_permutation(orig: &[u32], mut actual: Vec<u32>) -> bool {
    ///   actual.sort();
    ///   orig == &actual[..]
    /// }
    ///
    /// proptest! {
    ///   # /*
    ///   #[test]
    ///   # */
    ///   fn test_is_permutation(
    ///       ref perm in Just(VALUES.to_owned()).prop_shuffle()
    ///   ) {
    ///       assert!(is_permutation(VALUES, perm.clone()));
    ///   }
    /// }
    /// #
    /// # fn main() { test_is_permutation(); }
    /// ```
    fn prop_shuffle(self) -> Shuffle<Self>
    where
        Self: Sized,
        Self::Value: Shuffleable,
    {
        Shuffle(self)
    }

    /// Erases the type of this `Strategy` so it can be passed around as a
    /// simple trait object.
    ///
    /// See also `sboxed()` if this `Strategy` is `Send` and `Sync` and you
    /// want to preserve that information.
    ///
    /// Strategies of this type afford cheap shallow cloning via reference
    /// counting by using an `Arc` internally.
    fn boxed(self) -> BoxedStrategy<Self::Value>
    where
        Self: Sized + 'static,
    {
        BoxedStrategy(Arc::new(BoxedStrategyWrapper(self)))
    }

    /// Erases the type of this `Strategy` so it can be passed around as a
    /// simple trait object.
    ///
    /// Unlike `boxed()`, this conversion retains the `Send` and `Sync` traits
    /// on the output.
    ///
    /// Strategies of this type afford cheap shallow cloning via reference
    /// counting by using an `Arc` internally.
    fn sboxed(self) -> SBoxedStrategy<Self::Value>
    where
        Self: Sized + Send + Sync + 'static,
    {
        SBoxedStrategy(Arc::new(BoxedStrategyWrapper(self)))
    }

    /// Wraps this strategy to prevent values from being subject to shrinking.
    ///
    /// Suppressing shrinking is useful when testing things like linear
    /// approximation functions. Ordinarily, proptest will tend to shrink the
    /// input to the function until the result is just barely outside the
    /// acceptable range whereas the original input may have produced a result
    /// far outside of it. Since this makes it harder to see what the actual
    /// problem is, making the input `NoShrink` allows learning about inputs
    /// that produce more incorrect results.
    fn no_shrink(self) -> NoShrink<Self>
    where
        Self: Sized,
    {
        NoShrink(self)
    }
}

/// A generated value and its associated shrinker.
///
/// Conceptually, a `ValueTree` represents a spectrum between a "minimally
/// complex" value and a starting, randomly-chosen value. For values such as
/// numbers, this can be thought of as a simple binary search, and this is how
/// the `ValueTree` state machine is defined.
///
/// The `ValueTree` state machine notionally has three fields: low, current,
/// and high. Initially, low is the "minimally complex" value for the type, and
/// high and current are both the initially chosen value. It can be queried for
/// its current state. When shrinking, the controlling code tries simplifying
/// the value one step. If the test failure still happens with the simplified
/// value, further simplification occurs. Otherwise, the code steps back up
/// towards the prior complexity.
///
/// The main invariants here are that the "high" value always corresponds to a
/// failing test case, and that repeated calls to `complicate()` will return
/// `false` only once the "current" value has returned to what it was before
/// the last call to `simplify()`.
///
/// While it would be possible for default do-nothing implementations of
/// `simplify()` and `complicate()` to be provided, this was not done
/// deliberately since the majority of strategies will want to define their own
/// shrinking anyway, and the minority that do not must call it out explicitly
/// by their own implementation.
pub trait ValueTree {
    /// The type of the value produced by this `ValueTree`.
    type Value: fmt::Debug;

    /// Returns the current value.
    fn current(&self) -> Self::Value;
    /// Attempts to simplify the current value. Notionally, this sets the
    /// "high" value to the current value, and the current value to a "halfway
    /// point" between high and low, rounding towards low.
    ///
    /// Returns whether any state changed as a result of this call. This does
    /// not necessarily imply that the value of `current()` has changed, since
    /// in the most general case, it is not possible for an implementation to
    /// determine this.
    ///
    /// This call needs to correctly handle being called even immediately after
    /// it had been called previously and returned `false`.
    fn simplify(&mut self) -> bool;
    /// Attempts to partially undo the last simplification. Notionally, this
    /// sets the "low" value to one plus the current value, and the current
    /// value to a "halfway point" between high and the new low, rounding
    /// towards low.
    ///
    /// Returns whether any state changed as a result of this call. This does
    /// not necessarily imply that the value of `current()` has changed, since
    /// in the most general case, it is not possible for an implementation to
    /// determine this.
    ///
    /// It is usually expected that, immediately after a call to `simplify()`
    /// which returns true, this call will itself return true. However, this is
    /// not always the case; in some strategies, particularly those that use
    /// some form of rejection sampling, the act of trying to simplify may
    /// change the state such that `simplify()` returns true, yet ultimately
    /// left the resulting value unchanged, in which case there is nothing left
    /// to complicate.
    ///
    /// This call does not need to gracefully handle being called before
    /// `simplify()` was ever called, but does need to correctly handle being
    /// called even immediately after it had been called previously and
    /// returned `false`.
    fn complicate(&mut self) -> bool;
}

//==============================================================================
// NoShrink
//==============================================================================

/// Wraps a `Strategy` or `ValueTree` to suppress shrinking of generated
/// values.
///
/// See `Strategy::no_shrink()` for more details.
#[derive(Clone, Copy, Debug)]
#[must_use = "strategies do nothing unless used"]
pub struct NoShrink<T>(T);

impl<T: Strategy> Strategy for NoShrink<T> {
    type Tree = NoShrink<T::Tree>;
    type Value = T::Value;

    fn new_tree(&self, runner: &mut TestRunner) -> NewTree<Self> {
        self.0.new_tree(runner).map(NoShrink)
    }
}

impl<T: ValueTree> ValueTree for NoShrink<T> {
    type Value = T::Value;

    fn current(&self) -> T::Value {
        self.0.current()
    }

    fn simplify(&mut self) -> bool {
        false
    }
    fn complicate(&mut self) -> bool {
        false
    }
}

//==============================================================================
// Trait objects
//==============================================================================

macro_rules! proxy_strategy {
    ($typ:ty $(, $lt:tt)*) => {
        impl<$($lt,)* S : Strategy + ?Sized> Strategy for $typ {
            type Tree = S::Tree;
            type Value = S::Value;

            fn new_tree(&self, runner: &mut TestRunner) -> NewTree<Self> {
                (**self).new_tree(runner)
            }
        }
    };
}
proxy_strategy!(Box<S>);
proxy_strategy!(&'a S, 'a);
proxy_strategy!(&'a mut S, 'a);
proxy_strategy!(Rc<S>);
proxy_strategy!(Arc<S>);

impl<T: ValueTree + ?Sized> ValueTree for Box<T> {
    type Value = T::Value;
    fn current(&self) -> Self::Value {
        (**self).current()
    }
    fn simplify(&mut self) -> bool {
        (**self).simplify()
    }
    fn complicate(&mut self) -> bool {
        (**self).complicate()
    }
}

/// A boxed `ValueTree`.
type BoxedVT<T> = Box<dyn ValueTree<Value = T>>;

/// A boxed `Strategy` trait object as produced by `Strategy::boxed()`.
///
/// Strategies of this type afford cheap shallow cloning via reference
/// counting by using an `Arc` internally.
#[derive(Debug)]
#[must_use = "strategies do nothing unless used"]
pub struct BoxedStrategy<T>(Arc<dyn Strategy<Value = T, Tree = BoxedVT<T>>>);

/// A boxed `Strategy` trait object which is also `Sync` and
/// `Send`, as produced by `Strategy::sboxed()`.
///
/// Strategies of this type afford cheap shallow cloning via reference
/// counting by using an `Arc` internally.
#[derive(Debug)]
#[must_use = "strategies do nothing unless used"]
pub struct SBoxedStrategy<T>(
    Arc<dyn Strategy<Value = T, Tree = BoxedVT<T>> + Sync + Send>,
);

impl<T> Clone for BoxedStrategy<T> {
    fn clone(&self) -> Self {
        BoxedStrategy(Arc::clone(&self.0))
    }
}

impl<T> Clone for SBoxedStrategy<T> {
    fn clone(&self) -> Self {
        SBoxedStrategy(Arc::clone(&self.0))
    }
}

impl<T: fmt::Debug> Strategy for BoxedStrategy<T> {
    type Tree = BoxedVT<T>;
    type Value = T;

    fn new_tree(&self, runner: &mut TestRunner) -> NewTree<Self> {
        self.0.new_tree(runner)
    }

    // Optimization: Don't rebox the strategy.

    fn boxed(self) -> BoxedStrategy<Self::Value>
    where
        Self: Sized + 'static,
    {
        self
    }
}

impl<T: fmt::Debug> Strategy for SBoxedStrategy<T> {
    type Tree = BoxedVT<T>;
    type Value = T;

    fn new_tree(&self, runner: &mut TestRunner) -> NewTree<Self> {
        self.0.new_tree(runner)
    }

    // Optimization: Don't rebox the strategy.

    fn sboxed(self) -> SBoxedStrategy<Self::Value>
    where
        Self: Sized + Send + Sync + 'static,
    {
        self
    }

    fn boxed(self) -> BoxedStrategy<Self::Value>
    where
        Self: Sized + 'static,
    {
        BoxedStrategy(self.0)
    }
}

#[derive(Debug)]
struct BoxedStrategyWrapper<T>(T);
impl<T: Strategy> Strategy for BoxedStrategyWrapper<T>
where
    T::Tree: 'static,
{
    type Tree = Box<dyn ValueTree<Value = T::Value>>;
    type Value = T::Value;

    fn new_tree(&self, runner: &mut TestRunner) -> NewTree<Self> {
        Ok(Box::new(self.0.new_tree(runner)?))
    }
}

//==============================================================================
// Sanity checking
//==============================================================================

/// Options passed to `check_strategy_sanity()`.
#[derive(Clone, Copy, Debug)]
pub struct CheckStrategySanityOptions {
    /// If true (the default), require that `complicate()` return `true` at
    /// least once after any call to `simplify()` which itself returns once.
    ///
    /// This property is not required by contract, but many strategies are
    /// designed in a way that this is expected to hold.
    pub strict_complicate_after_simplify: bool,

    /// If true, cause local rejects to return an error instead of retrying.
    /// Defaults to false. Useful for testing behaviors around error handling.
    pub error_on_local_rejects: bool,

    // Needs to be public for FRU syntax.
    #[allow(missing_docs)]
    #[doc(hidden)]
    pub _non_exhaustive: (),
}

impl Default for CheckStrategySanityOptions {
    fn default() -> Self {
        CheckStrategySanityOptions {
            strict_complicate_after_simplify: true,
            error_on_local_rejects: false,
            _non_exhaustive: (),
        }
    }
}

/// Run some tests on the given `Strategy` to ensure that it upholds the
/// simplify/complicate contracts.
///
/// This is used to internally test proptest, but is made generally available
/// for external implementations to use as well.
///
/// `options` can be passed to configure the test; if `None`, the defaults are
/// used. Note that the defaults check for certain properties which are **not**
/// actually required by the `Strategy` and `ValueTree` contracts; if you think
/// your code is right but it fails the test, consider whether a non-default
/// configuration is necessary.
///
/// This can work with fallible strategies, but limits how many times it will
/// retry failures.
pub fn check_strategy_sanity<S: Strategy>(
    strategy: S,
    options: Option<CheckStrategySanityOptions>,
) where
    S::Tree: Clone + fmt::Debug,
    S::Value: cmp::PartialEq,
{
    // Like assert_eq!, but also pass if both values do not equal themselves.
    // This allows the test to work correctly with things like NaN.
    macro_rules! assert_same {
        ($a:expr, $b:expr, $($stuff:tt)*) => { {
            let a = $a;
            let b = $b;
            if a == a || b == b {
                assert_eq!(a, b, $($stuff)*);
            }
        } }
    }

    let options = options.unwrap_or_else(CheckStrategySanityOptions::default);
    let mut config = Config::default();
    if options.error_on_local_rejects {
        config.max_local_rejects = 0;
    }
    let mut runner = TestRunner::new(config);

    for _ in 0..1024 {
        let mut gen_tries = 0;
        let mut state;
        loop {
            let err = match strategy.new_tree(&mut runner) {
                Ok(s) => {
                    state = s;
                    break;
                }
                Err(e) => e,
            };

            gen_tries += 1;
            if gen_tries > 100 {
                panic!(
                    "Strategy passed to check_strategy_sanity failed \
                     to generate a value over 100 times in a row; \
                     last failure reason: {}",
                    err
                );
            }
        }

        {
            let mut state = state.clone();
            let mut count = 0;
            while state.simplify() || state.complicate() {
                count += 1;
                if count > 65536 {
                    panic!(
                        "Failed to converge on any value. State:\n{:#?}",
                        state
                    );
                }
            }
        }

        let mut num_simplifies = 0;
        let mut before_simplified;
        loop {
            before_simplified = state.clone();
            if !state.simplify() {
                break;
            }

            let mut complicated = state.clone();
            let before_complicated = state.clone();
            if options.strict_complicate_after_simplify {
                assert!(
                    complicated.complicate(),
                    "complicate() returned false immediately after \
                     simplify() returned true. internal state after \
                     {} calls to simplify():\n\
                     {:#?}\n\
                     simplified to:\n\
                     {:#?}\n\
                     complicated to:\n\
                     {:#?}",
                    num_simplifies,
                    before_simplified,
                    state,
                    complicated
                );
            }

            let mut prev_complicated = complicated.clone();
            let mut num_complications = 0;
            loop {
                if !complicated.complicate() {
                    break;
                }
                prev_complicated = complicated.clone();
                num_complications += 1;

                if num_complications > 65_536 {
                    panic!(
                        "complicate() returned true over 65536 times in a \
                         row; aborting due to possible infinite loop. \
                         If this is not an infinite loop, it may be \
                         necessary to reconsider how shrinking is \
                         implemented or use a simpler test strategy. \
                         Internal state:\n{:#?}",
                        state
                    );
                }
            }

            assert_same!(
                before_simplified.current(),
                complicated.current(),
                "Calling simplify(), then complicate() until it \
                 returned false, did not return to the value before \
                 simplify. Expected:\n\
                 {:#?}\n\
                 Actual:\n\
                 {:#?}\n\
                 Internal state after {} calls to simplify():\n\
                 {:#?}\n\
                 Internal state after another call to simplify():\n\
                 {:#?}\n\
                 Internal state after {} subsequent calls to \
                 complicate():\n\
                 {:#?}",
                before_simplified.current(),
                complicated.current(),
                num_simplifies,
                before_simplified,
                before_complicated,
                num_complications + 1,
                complicated
            );

            for iter in 1..16 {
                assert_same!(
                    prev_complicated.current(),
                    complicated.current(),
                    "complicate() returned false but changed the output \
                     value anyway.\n\
                     Old value:\n\
                     {:#?}\n\
                     New value:\n\
                     {:#?}\n\
                     Old internal state:\n\
                     {:#?}\n\
                     New internal state after {} calls to complicate()\
                     including the :\n\
                     {:#?}",
                    prev_complicated.current(),
                    complicated.current(),
                    prev_complicated,
                    iter,
                    complicated
                );

                assert!(
                    !complicated.complicate(),
                    "complicate() returned true after having returned \
                     false;\n\
                     Internal state before:\n{:#?}\n\
                     Internal state after calling complicate() {} times:\n\
                     {:#?}",
                    prev_complicated,
                    iter + 1,
                    complicated
                );
            }

            num_simplifies += 1;
            if num_simplifies > 65_536 {
                panic!(
                    "simplify() returned true over 65536 times in a row, \
                     aborting due to possible infinite loop. If this is not \
                     an infinite loop, it may be necessary to reconsider \
                     how shrinking is implemented or use a simpler test \
                     strategy. Internal state:\n{:#?}",
                    state
                );
            }
        }

        for iter in 0..16 {
            assert_same!(
                before_simplified.current(),
                state.current(),
                "simplify() returned false but changed the output \
                 value anyway.\n\
                 Old value:\n\
                 {:#?}\n\
                 New value:\n\
                 {:#?}\n\
                 Previous internal state:\n\
                 {:#?}\n\
                 New internal state after calling simplify() {} times:\n\
                 {:#?}",
                before_simplified.current(),
                state.current(),
                before_simplified,
                iter,
                state
            );

            if state.simplify() {
                panic!(
                    "simplify() returned true after having returned false. \
                     Previous internal state:\n\
                     {:#?}\n\
                     New internal state after calling simplify() {} times:\n\
                     {:#?}",
                    before_simplified,
                    iter + 1,
                    state
                );
            }
        }
    }
}