normalize_interval 0.14.0

Normalizing interval library
Documentation
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
// Copyright 2018 Skylor R. Schermer.
//
// 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.
////////////////////////////////////////////////////////////////////////////////
//!
//! Testing module for [`minus`] operations.
//!
//! [`minus`]: struct.RawInterval.html#method.minus
//!
////////////////////////////////////////////////////////////////////////////////

// Local imports.
use crate::raw_interval::RawInterval;

// Local enum shortcuts.
use crate::raw_interval::RawInterval::*;


#[test]
fn empty() {
    let a: RawInterval<i32> = Empty;

    assert_eq_u!(a.minus(&Empty),             []);
    assert_eq_u!(a.minus(&Point(3)),          []);
    assert_eq_u!(a.minus(&Open(0, 3)),        []);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    []);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   []);
    assert_eq_u!(a.minus(&Closed(0, 3)),      []);
    assert_eq_u!(a.minus(&UpTo(3)),           []);
    assert_eq_u!(a.minus(&UpFrom(3)),         []);
    assert_eq_u!(a.minus(&To(3)),             []);
    assert_eq_u!(a.minus(&From(3)),           []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn point_center() {
    let a: RawInterval<i32> = Point(3);

    assert_eq_u!(a.minus(&Empty),             [Point(3)]);
    assert_eq_u!(a.minus(&Point(3)),          []);
    assert_eq_u!(a.minus(&Open(0, 3)),        [Point(3)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    []);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   [Point(3)]);
    assert_eq_u!(a.minus(&Closed(0, 3)),      []);
    assert_eq_u!(a.minus(&UpTo(3)),           [Point(3)]);
    assert_eq_u!(a.minus(&UpFrom(3)),         [Point(3)]);
    assert_eq_u!(a.minus(&To(3)),             []);
    assert_eq_u!(a.minus(&From(3)),           []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn point_left() {
    let a: RawInterval<i32> = Point(3);

    assert_eq_u!(a.minus(&Empty),             [Point(3)]);
    assert_eq_u!(a.minus(&Point(-1)),         [Point(3)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [Point(3)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [Point(3)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [Point(3)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [Point(3)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [Point(3)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        []);
    assert_eq_u!(a.minus(&To(-3)),            [Point(3)]);
    assert_eq_u!(a.minus(&From(-3)),          []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn point_right() {
    let a: RawInterval<i32> = Point(3);

    assert_eq_u!(a.minus(&Empty),             [Point(3)]);
    assert_eq_u!(a.minus(&Point(10)),         [Point(3)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [Point(3)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [Point(3)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [Point(3)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [Point(3)]);
    assert_eq_u!(a.minus(&UpTo(13)),          []);
    assert_eq_u!(a.minus(&UpFrom(13)),        [Point(3)]);
    assert_eq_u!(a.minus(&To(13)),            []);
    assert_eq_u!(a.minus(&From(13)),          [Point(3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn open_center() {
    let a: RawInterval<i32> = Open(0, 3);

    assert_eq_u!(a.minus(&Empty),             [Open(0, 3)]);
    assert_eq_u!(a.minus(&Point(2)),          [Open(0, 2), Open(2, 3)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        []);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    []);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   []);
    assert_eq_u!(a.minus(&Closed(0, 3)),      []);
    assert_eq_u!(a.minus(&UpTo(2)),           [RightOpen(2, 3)]);
    assert_eq_u!(a.minus(&UpFrom(2)),         [LeftOpen(0, 2)]);
    assert_eq_u!(a.minus(&To(2)),             [Open(2, 3)]);
    assert_eq_u!(a.minus(&From(2)),           [Open(0, 2)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn open_left() {
    let a: RawInterval<i32> = Open(0, 3);

    assert_eq_u!(a.minus(&Empty),             [Open(0, 3)]);
    assert_eq_u!(a.minus(&Point(-3)),         [Open(0, 3)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [Open(0, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [Open(0, 3)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [Open(0, 3)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [Open(0, 3)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [Open(0, 3)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        []);
    assert_eq_u!(a.minus(&To(-3)),            [Open(0, 3)]);
    assert_eq_u!(a.minus(&From(-3)),          []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn open_right() {
    let a: RawInterval<i32> = Open(0, 3);

    assert_eq_u!(a.minus(&Empty),             [Open(0, 3)]);
    assert_eq_u!(a.minus(&Point(13)),         [Open(0, 3)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [Open(0, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [Open(0, 3)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [Open(0, 3)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [Open(0, 3)]);
    assert_eq_u!(a.minus(&UpTo(13)),          []);
    assert_eq_u!(a.minus(&UpFrom(13)),        [Open(0, 3)]);
    assert_eq_u!(a.minus(&To(13)),            []);
    assert_eq_u!(a.minus(&From(13)),          [Open(0, 3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn left_open_center() {
    let a: RawInterval<i32> = LeftOpen(0, 3);

    assert_eq_u!(a.minus(&Empty),             [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&Point(2)),          [Open(0, 2), LeftOpen(2, 3)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        [Point(3)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    []);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   [Point(3)]);
    assert_eq_u!(a.minus(&Closed(0, 3)),      []);
    assert_eq_u!(a.minus(&UpTo(2)),           [Closed(2, 3)]);
    assert_eq_u!(a.minus(&UpFrom(2)),         [LeftOpen(0, 2)]);
    assert_eq_u!(a.minus(&To(2)),             [LeftOpen(2, 3)]);
    assert_eq_u!(a.minus(&From(2)),           [Open(0, 2)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn left_open_left() {
    let a: RawInterval<i32> = LeftOpen(0, 3);

    assert_eq_u!(a.minus(&Empty),             [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&Point(-3)),         [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        []);
    assert_eq_u!(a.minus(&To(-3)),            [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&From(-3)),          []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn left_open_right() {
    let a: RawInterval<i32> = LeftOpen(0, 3);

    assert_eq_u!(a.minus(&Empty),             [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&Point(13)),         [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&UpTo(13)),          []);
    assert_eq_u!(a.minus(&UpFrom(13)),        [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&To(13)),            []);
    assert_eq_u!(a.minus(&From(13)),          [LeftOpen(0, 3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn right_open_center() {
    let a: RawInterval<i32> = RightOpen(0, 3);

    assert_eq_u!(a.minus(&Empty),             [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&Point(2)),          [RightOpen(0, 2), Open(2, 3)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        [Point(0)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    [Point(0)]);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   []);
    assert_eq_u!(a.minus(&Closed(0, 3)),      []);
    assert_eq_u!(a.minus(&UpTo(2)),           [RightOpen(2, 3)]);
    assert_eq_u!(a.minus(&UpFrom(2)),         [Closed(0, 2)]);
    assert_eq_u!(a.minus(&To(2)),             [Open(2, 3)]);
    assert_eq_u!(a.minus(&From(2)),           [RightOpen(0, 2)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn right_open_left() {
    let a: RawInterval<i32> = RightOpen(0, 3);

    assert_eq_u!(a.minus(&Empty),             [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&Point(-3)),         [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        []);
    assert_eq_u!(a.minus(&To(-3)),            [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&From(-3)),          []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn right_open_right() {
    let a: RawInterval<i32> = RightOpen(0, 3);

    assert_eq_u!(a.minus(&Empty),             [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&Point(13)),         [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&UpTo(13)),          []);
    assert_eq_u!(a.minus(&UpFrom(13)),        [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&To(13)),            []);
    assert_eq_u!(a.minus(&From(13)),          [RightOpen(0, 3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn closed_center() {
    let a: RawInterval<i32> = Closed(0, 3);

    assert_eq_u!(a.minus(&Empty),             [Closed(0, 3)]);
    assert_eq_u!(a.minus(&Point(2)),          [RightOpen(0, 2), LeftOpen(2, 3)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        [Point(0), Point(3)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    [Point(0)]);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   [Point(3)]);
    assert_eq_u!(a.minus(&Closed(0, 3)),      []);
    assert_eq_u!(a.minus(&UpTo(2)),           [Closed(2, 3)]);
    assert_eq_u!(a.minus(&UpFrom(2)),         [Closed(0, 2)]);
    assert_eq_u!(a.minus(&To(2)),             [LeftOpen(2, 3)]);
    assert_eq_u!(a.minus(&From(2)),           [RightOpen(0, 2)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn closed_left() {
    let a: RawInterval<i32> = Closed(0, 3);

    assert_eq_u!(a.minus(&Empty),             [Closed(0, 3)]);
    assert_eq_u!(a.minus(&Point(-3)),         [Closed(0, 3)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [Closed(0, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [Closed(0, 3)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [Closed(0, 3)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [Closed(0, 3)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [Closed(0, 3)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        []);
    assert_eq_u!(a.minus(&To(-3)),            [Closed(0, 3)]);
    assert_eq_u!(a.minus(&From(-3)),          []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn closed_right() {
    let a: RawInterval<i32> = Closed(0, 3);

    assert_eq_u!(a.minus(&Empty),             [Closed(0, 3)]);
    assert_eq_u!(a.minus(&Point(13)),         [Closed(0, 3)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [Closed(0, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [Closed(0, 3)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [Closed(0, 3)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [Closed(0, 3)]);
    assert_eq_u!(a.minus(&UpTo(13)),          []);
    assert_eq_u!(a.minus(&UpFrom(13)),        [Closed(0, 3)]);
    assert_eq_u!(a.minus(&To(13)),            []);
    assert_eq_u!(a.minus(&From(13)),          [Closed(0, 3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn up_to_center() {
    let a: RawInterval<i32> = UpTo(3);

    assert_eq_u!(a.minus(&Empty),             [UpTo(3)]);
    assert_eq_u!(a.minus(&Point(2)),          [UpTo(2), Open(2, 3)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        [To(0)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    [To(0)]);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   [UpTo(0)]);
    assert_eq_u!(a.minus(&Closed(0, 3)),      [UpTo(0)]);
    assert_eq_u!(a.minus(&UpTo(2)),           [RightOpen(2, 3)]);
    assert_eq_u!(a.minus(&UpFrom(2)),         [To(2)]);
    assert_eq_u!(a.minus(&To(2)),             [Open(2, 3)]);
    assert_eq_u!(a.minus(&From(2)),           [UpTo(2)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn up_to_left() {
    let a: RawInterval<i32> = UpTo(3);

    assert_eq_u!(a.minus(&Empty),             [UpTo(3)]);
    assert_eq_u!(a.minus(&Point(-3)),         [UpTo(-3), Open(-3, 3)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [To(-3), RightOpen(-1, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [To(-3), Open(-1, 3)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [UpTo(-3), RightOpen(-1, 3)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [UpTo(-3), Open(-1, 3)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [RightOpen(-3, 3)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        [To(-3)]);
    assert_eq_u!(a.minus(&To(-3)),            [Open(-3, 3)]);
    assert_eq_u!(a.minus(&From(-3)),          [UpTo(-3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn up_to_right() {
    let a: RawInterval<i32> = UpTo(3);

    assert_eq_u!(a.minus(&Empty),             [UpTo(3)]);
    assert_eq_u!(a.minus(&Point(13)),         [UpTo(3)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [UpTo(3)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [UpTo(3)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [UpTo(3)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [UpTo(3)]);
    assert_eq_u!(a.minus(&UpTo(13)),          []);
    assert_eq_u!(a.minus(&UpFrom(13)),        [UpTo(3)]);
    assert_eq_u!(a.minus(&To(13)),            []);
    assert_eq_u!(a.minus(&From(13)),          [UpTo(3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn up_from_center() {
    let a: RawInterval<i32> = UpFrom(0);

    assert_eq_u!(a.minus(&Empty),             [UpFrom(0)]);
    assert_eq_u!(a.minus(&Point(2)),          [Open(0, 2), UpFrom(2)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        [From(3)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    [UpFrom(3)]);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   [From(3)]);
    assert_eq_u!(a.minus(&Closed(0, 3)),      [UpFrom(3)]);
    assert_eq_u!(a.minus(&UpTo(2)),           [From(2)]);
    assert_eq_u!(a.minus(&UpFrom(2)),         [LeftOpen(0, 2)]);
    assert_eq_u!(a.minus(&To(2)),             [UpFrom(2)]);
    assert_eq_u!(a.minus(&From(2)),           [Open(0, 2)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn up_from_left() {
    let a: RawInterval<i32> = UpFrom(0);

    assert_eq_u!(a.minus(&Empty),             [UpFrom(0)]);
    assert_eq_u!(a.minus(&Point(-3)),         [UpFrom(0)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [UpFrom(0)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [UpFrom(0)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [UpFrom(0)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [UpFrom(0)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [UpFrom(0)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        []);
    assert_eq_u!(a.minus(&To(-3)),            [UpFrom(0)]);
    assert_eq_u!(a.minus(&From(-3)),          []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn up_from_right() {
    let a: RawInterval<i32> = UpFrom(0);

    assert_eq_u!(a.minus(&Empty),             [UpFrom(0)]);
    assert_eq_u!(a.minus(&Point(13)),         [Open(0, 13), UpFrom(13)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [LeftOpen(0, 10), From(13)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [LeftOpen(0, 10), UpFrom(13)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [Open(0, 10), From(13)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [Open(0, 10), UpFrom(13)]);
    assert_eq_u!(a.minus(&UpTo(13)),          [From(13)]);
    assert_eq_u!(a.minus(&UpFrom(13)),        [LeftOpen(0, 13)]);
    assert_eq_u!(a.minus(&To(13)),            [UpFrom(13)]);
    assert_eq_u!(a.minus(&From(13)),          [Open(0, 13)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn to_center() {
    let a: RawInterval<i32> = To(3);

    assert_eq_u!(a.minus(&Empty),             [To(3)]);
    assert_eq_u!(a.minus(&Point(2)),          [UpTo(2), LeftOpen(2, 3)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        [To(0), Point(3)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    [To(0)]);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   [UpTo(0), Point(3)]);
    assert_eq_u!(a.minus(&Closed(0, 3)),      [UpTo(0)]);
    assert_eq_u!(a.minus(&UpTo(2)),           [Closed(2, 3)]);
    assert_eq_u!(a.minus(&UpFrom(2)),         [To(2)]);
    assert_eq_u!(a.minus(&To(2)),             [LeftOpen(2, 3)]);
    assert_eq_u!(a.minus(&From(2)),           [UpTo(2)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn to_left() {
    let a: RawInterval<i32> = To(3);

    assert_eq_u!(a.minus(&Empty),             [To(3)]);
    assert_eq_u!(a.minus(&Point(-3)),         [UpTo(-3), LeftOpen(-3, 3)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [To(-3), Closed(-1, 3)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [To(-3), LeftOpen(-1, 3)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [UpTo(-3), Closed(-1, 3)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [UpTo(-3), LeftOpen(-1, 3)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [Closed(-3, 3)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        [To(-3)]);
    assert_eq_u!(a.minus(&To(-3)),            [LeftOpen(-3, 3)]);
    assert_eq_u!(a.minus(&From(-3)),          [UpTo(-3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn to_right() {
    let a: RawInterval<i32> = To(3);

    assert_eq_u!(a.minus(&Empty),             [To(3)]);
    assert_eq_u!(a.minus(&Point(13)),         [To(3)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [To(3)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [To(3)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [To(3)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [To(3)]);
    assert_eq_u!(a.minus(&UpTo(13)),          []);
    assert_eq_u!(a.minus(&UpFrom(13)),        [To(3)]);
    assert_eq_u!(a.minus(&To(13)),            []);
    assert_eq_u!(a.minus(&From(13)),          [To(3)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn from_center() {
    let a: RawInterval<i32> = From(0);

    assert_eq_u!(a.minus(&Empty),             [From(0)]);
    assert_eq_u!(a.minus(&Point(2)),          [RightOpen(0, 2), UpFrom(2)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        [Point(0), From(3)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    [Point(0), UpFrom(3)]);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   [From(3)]);
    assert_eq_u!(a.minus(&Closed(0, 3)),      [UpFrom(3)]);
    assert_eq_u!(a.minus(&UpTo(2)),           [From(2)]);
    assert_eq_u!(a.minus(&UpFrom(2)),         [Closed(0, 2)]);
    assert_eq_u!(a.minus(&To(2)),             [UpFrom(2)]);
    assert_eq_u!(a.minus(&From(2)),           [RightOpen(0, 2)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn from_left() {
    let a: RawInterval<i32> = From(0);

    assert_eq_u!(a.minus(&Empty),             [From(0)]);
    assert_eq_u!(a.minus(&Point(-3)),         [From(0)]);
    assert_eq_u!(a.minus(&Open(-3, -1)),      [From(0)]);
    assert_eq_u!(a.minus(&LeftOpen(-3, -1)),  [From(0)]);
    assert_eq_u!(a.minus(&RightOpen(-3, -1)), [From(0)]);
    assert_eq_u!(a.minus(&Closed(-3, -1)),    [From(0)]);
    assert_eq_u!(a.minus(&UpTo(-3)),          [From(0)]);
    assert_eq_u!(a.minus(&UpFrom(-3)),        []);
    assert_eq_u!(a.minus(&To(-3)),            [From(0)]);
    assert_eq_u!(a.minus(&From(-3)),          []);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn from_right() {
    let a: RawInterval<i32> = From(0);

    assert_eq_u!(a.minus(&Empty),             [From(0)]);
    assert_eq_u!(a.minus(&Point(13)),         [RightOpen(0, 13), UpFrom(13)]);
    assert_eq_u!(a.minus(&Open(10, 13)),      [Closed(0, 10), From(13)]);
    assert_eq_u!(a.minus(&LeftOpen(10, 13)),  [Closed(0, 10), UpFrom(13)]);
    assert_eq_u!(a.minus(&RightOpen(10, 13)), [RightOpen(0, 10), From(13)]);
    assert_eq_u!(a.minus(&Closed(10, 13)),    [RightOpen(0, 10), UpFrom(13)]);
    assert_eq_u!(a.minus(&UpTo(13)),          [From(13)]);
    assert_eq_u!(a.minus(&UpFrom(13)),        [Closed(0, 13)]);
    assert_eq_u!(a.minus(&To(13)),            [UpFrom(13)]);
    assert_eq_u!(a.minus(&From(13)),          [RightOpen(0, 13)]);
    assert_eq_u!(a.minus(&Full),              []);
}

#[test]
fn full() {
    let a: RawInterval<i32> = Full;

    assert_eq_u!(a.minus(&Empty),             [Full]);
    assert_eq_u!(a.minus(&Point(0)),          [UpTo(0), UpFrom(0)]);
    assert_eq_u!(a.minus(&Open(0, 3)),        [To(0), From(3)]);
    assert_eq_u!(a.minus(&LeftOpen(0, 3)),    [To(0), UpFrom(3)]);
    assert_eq_u!(a.minus(&RightOpen(0, 3)),   [UpTo(0), From(3)]);
    assert_eq_u!(a.minus(&Closed(0, 3)),      [UpTo(0), UpFrom(3)]);
    assert_eq_u!(a.minus(&UpTo(0)),           [From(0)]);
    assert_eq_u!(a.minus(&UpFrom(0)),         [To(0)]);
    assert_eq_u!(a.minus(&To(0)),             [UpFrom(0)]);
    assert_eq_u!(a.minus(&From(0)),           [UpTo(0)]);
    assert_eq_u!(a.minus(&Full),              []);
}