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
/*! Bit Cursors

`bitvec` structures are parametric over any ordering of bits within an element.
The `Cursor` trait maps a cursor position (indicated by the `BitIdx` type) to an
electrical position (indicated by the `BitPos` type) within that element, and
also defines the order of traversal over an element.

The only requirement on implementors of `Cursor` is that the transform function
from cursor (`BitIdx`) to position (`BitPos`) is *total* (every integer in the
domain `0 .. T::BITS` is used) and *unique* (each cursor maps to one and only
one position, and each position is mapped by one and only one cursor).
Contiguity is not required.

`Cursor` is a stateless trait, and implementors should be zero-sized types.
!*/

use crate::store::{
	BitIdx,
	BitPos,
	BitStore,
};

/// Traverses an element from `MSbit` to `LSbit`.
#[derive(Clone, Copy, Debug, Eq, PartialEq)]
pub struct BigEndian;

/// Traverses an element from `LSbit` to `MSbit`.
#[derive(Clone, Copy, Debug, Eq, PartialEq)]
pub struct LittleEndian;

/** A cursor over an element.

# Usage

`bitvec` structures store and operate on semantic counts, not bit positions. The
`Cursor::at` function takes a semantic cursor, `BitIdx`, and produces an
electrical position, `BitPos`.
**/
pub trait Cursor {
	/// Name of the cursor type, for use in text display.
	const TYPENAME: &'static str;

	/// Translate a semantic bit index into an electrical bit position.
	///
	/// # Parameters
	///
	/// - `cursor`: The semantic bit value.
	///
	/// # Returns
	///
	/// - A concrete position. This value can be used for shifting and masking
	///   to extract a bit from an element. This must be in the domain
	///   `0 .. T::BITS`.
	///
	/// # Type Parameters
	///
	/// - `T: BitStore`: The storage type for which the position will be
	///   calculated.
	///
	/// # Invariants
	///
	/// The function **must** be *total* for the domain `.. T::BITS`. All values
	/// in this domain are valid indices that the library will pass to it, and
	/// which this function must satisfy.
	///
	/// The function **must** be *bijective* over the domain `.. T::BITS`. All
	/// input values in this domain must have one and only one correpsonding
	/// output, which must also be in this domain.
	///
	/// The function *may* support input in the domain `T::BITS ..`. The library
	/// will not produce any values in this domain as input indices. The
	/// function **must not** produce output in the domain `T::BITS ..`. It must
	/// choose between panicking, or producing an output in `.. T::BITS`. The
	/// reduction in domain from `T::BITS ..` to `.. T::BITS` removes the
	/// requirement for inputs in `T::BITS ..` to have unique outputs in
	/// `.. T::BITS`.
	///
	/// This function **must** be *pure*. Calls which have the same input must
	/// produce the same output. This invariant is only required to be upheld
	/// for the lifetime of all data structures which use an implementor. The
	/// behavior of the function *may* be modified after all existing dependent
	/// data structures are destroyed and before any new dependent data
	/// structures are created.
	///
	/// # Non-Invariants
	///
	/// This function is *not* required to be stateless. It *may* refer to
	/// immutable global state, subject to the purity requirement on lifetimes.
	///
	/// # Safety
	///
	/// This function requires that the output be in the domain `.. T::BITS`.
	/// Implementors must uphold this themselves. Outputs in the domain
	/// `T::BITS ..` will induce panics elsewhere in the library.
	fn at<T>(cursor: BitIdx) -> BitPos
	where T: BitStore;
}

impl Cursor for BigEndian {
	const TYPENAME: &'static str = "BigEndian";

	/// Maps a semantic count to a concrete position.
	///
	/// `BigEndian` order moves from `MSbit` first to `LSbit` last.
	fn at<T>(cursor: BitIdx) -> BitPos
	where T: BitStore {
		assert!(
			cursor.is_valid::<T>(),
			"Index {} is invalid for cursor {} on type {}",
			*cursor,
			Self::TYPENAME,
			T::TYPENAME,
		);
		(T::MASK - *cursor).into()
	}
}

impl Cursor for LittleEndian {
	const TYPENAME: &'static str = "LittleEndian";

	/// Maps a semantic count to a concrete position.
	///
	/// `LittleEndian` order moves from `LSbit` first to `MSbit` last.
	fn at<T>(cursor: BitIdx) -> BitPos
	where T: BitStore {
		assert!(
			cursor.is_valid::<T>(),
			"Index {} is invalid for cursor {} on type {}",
			*cursor,
			Self::TYPENAME,
			T::TYPENAME,
		);
		(*cursor).into()
	}
}

#[cfg(test)]
mod tests {
	use super::*;

	#[test]
	fn be_u8_range() {
		assert_eq!(BigEndian::at::<u8>(BitIdx(0)), BitPos(7));
		assert_eq!(BigEndian::at::<u8>(BitIdx(1)), BitPos(6));
		assert_eq!(BigEndian::at::<u8>(BitIdx(2)), BitPos(5));
		assert_eq!(BigEndian::at::<u8>(BitIdx(3)), BitPos(4));
		assert_eq!(BigEndian::at::<u8>(BitIdx(4)), BitPos(3));
		assert_eq!(BigEndian::at::<u8>(BitIdx(5)), BitPos(2));
		assert_eq!(BigEndian::at::<u8>(BitIdx(6)), BitPos(1));
		assert_eq!(BigEndian::at::<u8>(BitIdx(7)), BitPos(0));
	}

	#[test]
	#[should_panic]
	fn be_u8_ovf() {
		BigEndian::at::<u8>(BitIdx(8));
	}

	#[test]
	fn be_u16_range() {
		assert_eq!(BigEndian::at::<u16>(BitIdx(0)), BitPos(15));
		assert_eq!(BigEndian::at::<u16>(BitIdx(1)), BitPos(14));
		assert_eq!(BigEndian::at::<u16>(BitIdx(2)), BitPos(13));
		assert_eq!(BigEndian::at::<u16>(BitIdx(3)), BitPos(12));
		assert_eq!(BigEndian::at::<u16>(BitIdx(4)), BitPos(11));
		assert_eq!(BigEndian::at::<u16>(BitIdx(5)), BitPos(10));
		assert_eq!(BigEndian::at::<u16>(BitIdx(6)), BitPos(9));
		assert_eq!(BigEndian::at::<u16>(BitIdx(7)), BitPos(8));
		assert_eq!(BigEndian::at::<u16>(BitIdx(8)), BitPos(7));
		assert_eq!(BigEndian::at::<u16>(BitIdx(9)), BitPos(6));
		assert_eq!(BigEndian::at::<u16>(BitIdx(10)), BitPos(5));
		assert_eq!(BigEndian::at::<u16>(BitIdx(11)), BitPos(4));
		assert_eq!(BigEndian::at::<u16>(BitIdx(12)), BitPos(3));
		assert_eq!(BigEndian::at::<u16>(BitIdx(13)), BitPos(2));
		assert_eq!(BigEndian::at::<u16>(BitIdx(14)), BitPos(1));
		assert_eq!(BigEndian::at::<u16>(BitIdx(15)), BitPos(0));
	}

	#[test]
	#[should_panic]
	fn be_u16_ovf() {
		BigEndian::at::<u16>(BitIdx(16));
	}

	#[test]
	fn be_u32_range() {
		assert_eq!(BigEndian::at::<u32>(BitIdx(0)), BitPos(31));
		assert_eq!(BigEndian::at::<u32>(BitIdx(1)), BitPos(30));
		assert_eq!(BigEndian::at::<u32>(BitIdx(2)), BitPos(29));
		assert_eq!(BigEndian::at::<u32>(BitIdx(3)), BitPos(28));
		assert_eq!(BigEndian::at::<u32>(BitIdx(4)), BitPos(27));
		assert_eq!(BigEndian::at::<u32>(BitIdx(5)), BitPos(26));
		assert_eq!(BigEndian::at::<u32>(BitIdx(6)), BitPos(25));
		assert_eq!(BigEndian::at::<u32>(BitIdx(7)), BitPos(24));
		assert_eq!(BigEndian::at::<u32>(BitIdx(8)), BitPos(23));
		assert_eq!(BigEndian::at::<u32>(BitIdx(9)), BitPos(22));
		assert_eq!(BigEndian::at::<u32>(BitIdx(10)), BitPos(21));
		assert_eq!(BigEndian::at::<u32>(BitIdx(11)), BitPos(20));
		assert_eq!(BigEndian::at::<u32>(BitIdx(12)), BitPos(19));
		assert_eq!(BigEndian::at::<u32>(BitIdx(13)), BitPos(18));
		assert_eq!(BigEndian::at::<u32>(BitIdx(14)), BitPos(17));
		assert_eq!(BigEndian::at::<u32>(BitIdx(15)), BitPos(16));
		assert_eq!(BigEndian::at::<u32>(BitIdx(16)), BitPos(15));
		assert_eq!(BigEndian::at::<u32>(BitIdx(17)), BitPos(14));
		assert_eq!(BigEndian::at::<u32>(BitIdx(18)), BitPos(13));
		assert_eq!(BigEndian::at::<u32>(BitIdx(19)), BitPos(12));
		assert_eq!(BigEndian::at::<u32>(BitIdx(20)), BitPos(11));
		assert_eq!(BigEndian::at::<u32>(BitIdx(21)), BitPos(10));
		assert_eq!(BigEndian::at::<u32>(BitIdx(22)), BitPos(9));
		assert_eq!(BigEndian::at::<u32>(BitIdx(23)), BitPos(8));
		assert_eq!(BigEndian::at::<u32>(BitIdx(24)), BitPos(7));
		assert_eq!(BigEndian::at::<u32>(BitIdx(25)), BitPos(6));
		assert_eq!(BigEndian::at::<u32>(BitIdx(26)), BitPos(5));
		assert_eq!(BigEndian::at::<u32>(BitIdx(27)), BitPos(4));
		assert_eq!(BigEndian::at::<u32>(BitIdx(28)), BitPos(3));
		assert_eq!(BigEndian::at::<u32>(BitIdx(29)), BitPos(2));
		assert_eq!(BigEndian::at::<u32>(BitIdx(30)), BitPos(1));
		assert_eq!(BigEndian::at::<u32>(BitIdx(31)), BitPos(0));
	}

	#[test]
	#[should_panic]
	fn be_u32_ovf() {
		BigEndian::at::<u32>(BitIdx(32));
	}

	#[cfg(target_pointer_width = "64")]
	#[test]
	fn be_u64_range() {
		assert_eq!(BigEndian::at::<u64>(BitIdx(0)), BitPos(63));
		assert_eq!(BigEndian::at::<u64>(BitIdx(1)), BitPos(62));
		assert_eq!(BigEndian::at::<u64>(BitIdx(2)), BitPos(61));
		assert_eq!(BigEndian::at::<u64>(BitIdx(3)), BitPos(60));
		assert_eq!(BigEndian::at::<u64>(BitIdx(4)), BitPos(59));
		assert_eq!(BigEndian::at::<u64>(BitIdx(5)), BitPos(58));
		assert_eq!(BigEndian::at::<u64>(BitIdx(6)), BitPos(57));
		assert_eq!(BigEndian::at::<u64>(BitIdx(7)), BitPos(56));
		assert_eq!(BigEndian::at::<u64>(BitIdx(8)), BitPos(55));
		assert_eq!(BigEndian::at::<u64>(BitIdx(9)), BitPos(54));
		assert_eq!(BigEndian::at::<u64>(BitIdx(10)), BitPos(53));
		assert_eq!(BigEndian::at::<u64>(BitIdx(11)), BitPos(52));
		assert_eq!(BigEndian::at::<u64>(BitIdx(12)), BitPos(51));
		assert_eq!(BigEndian::at::<u64>(BitIdx(13)), BitPos(50));
		assert_eq!(BigEndian::at::<u64>(BitIdx(14)), BitPos(49));
		assert_eq!(BigEndian::at::<u64>(BitIdx(15)), BitPos(48));
		assert_eq!(BigEndian::at::<u64>(BitIdx(16)), BitPos(47));
		assert_eq!(BigEndian::at::<u64>(BitIdx(17)), BitPos(46));
		assert_eq!(BigEndian::at::<u64>(BitIdx(18)), BitPos(45));
		assert_eq!(BigEndian::at::<u64>(BitIdx(19)), BitPos(44));
		assert_eq!(BigEndian::at::<u64>(BitIdx(20)), BitPos(43));
		assert_eq!(BigEndian::at::<u64>(BitIdx(21)), BitPos(42));
		assert_eq!(BigEndian::at::<u64>(BitIdx(22)), BitPos(41));
		assert_eq!(BigEndian::at::<u64>(BitIdx(23)), BitPos(40));
		assert_eq!(BigEndian::at::<u64>(BitIdx(24)), BitPos(39));
		assert_eq!(BigEndian::at::<u64>(BitIdx(25)), BitPos(38));
		assert_eq!(BigEndian::at::<u64>(BitIdx(26)), BitPos(37));
		assert_eq!(BigEndian::at::<u64>(BitIdx(27)), BitPos(36));
		assert_eq!(BigEndian::at::<u64>(BitIdx(28)), BitPos(35));
		assert_eq!(BigEndian::at::<u64>(BitIdx(29)), BitPos(34));
		assert_eq!(BigEndian::at::<u64>(BitIdx(30)), BitPos(33));
		assert_eq!(BigEndian::at::<u64>(BitIdx(31)), BitPos(32));
		assert_eq!(BigEndian::at::<u64>(BitIdx(32)), BitPos(31));
		assert_eq!(BigEndian::at::<u64>(BitIdx(33)), BitPos(30));
		assert_eq!(BigEndian::at::<u64>(BitIdx(34)), BitPos(29));
		assert_eq!(BigEndian::at::<u64>(BitIdx(35)), BitPos(28));
		assert_eq!(BigEndian::at::<u64>(BitIdx(36)), BitPos(27));
		assert_eq!(BigEndian::at::<u64>(BitIdx(37)), BitPos(26));
		assert_eq!(BigEndian::at::<u64>(BitIdx(38)), BitPos(25));
		assert_eq!(BigEndian::at::<u64>(BitIdx(39)), BitPos(24));
		assert_eq!(BigEndian::at::<u64>(BitIdx(40)), BitPos(23));
		assert_eq!(BigEndian::at::<u64>(BitIdx(41)), BitPos(22));
		assert_eq!(BigEndian::at::<u64>(BitIdx(42)), BitPos(21));
		assert_eq!(BigEndian::at::<u64>(BitIdx(43)), BitPos(20));
		assert_eq!(BigEndian::at::<u64>(BitIdx(44)), BitPos(19));
		assert_eq!(BigEndian::at::<u64>(BitIdx(45)), BitPos(18));
		assert_eq!(BigEndian::at::<u64>(BitIdx(46)), BitPos(17));
		assert_eq!(BigEndian::at::<u64>(BitIdx(47)), BitPos(16));
		assert_eq!(BigEndian::at::<u64>(BitIdx(48)), BitPos(15));
		assert_eq!(BigEndian::at::<u64>(BitIdx(49)), BitPos(14));
		assert_eq!(BigEndian::at::<u64>(BitIdx(50)), BitPos(13));
		assert_eq!(BigEndian::at::<u64>(BitIdx(51)), BitPos(12));
		assert_eq!(BigEndian::at::<u64>(BitIdx(52)), BitPos(11));
		assert_eq!(BigEndian::at::<u64>(BitIdx(53)), BitPos(10));
		assert_eq!(BigEndian::at::<u64>(BitIdx(54)), BitPos(9));
		assert_eq!(BigEndian::at::<u64>(BitIdx(55)), BitPos(8));
		assert_eq!(BigEndian::at::<u64>(BitIdx(56)), BitPos(7));
		assert_eq!(BigEndian::at::<u64>(BitIdx(57)), BitPos(6));
		assert_eq!(BigEndian::at::<u64>(BitIdx(58)), BitPos(5));
		assert_eq!(BigEndian::at::<u64>(BitIdx(59)), BitPos(4));
		assert_eq!(BigEndian::at::<u64>(BitIdx(60)), BitPos(3));
		assert_eq!(BigEndian::at::<u64>(BitIdx(61)), BitPos(2));
		assert_eq!(BigEndian::at::<u64>(BitIdx(62)), BitPos(1));
		assert_eq!(BigEndian::at::<u64>(BitIdx(63)), BitPos(0));
	}

	#[cfg(target_pointer_width = "64")]
	#[test]
	#[should_panic]
	fn be_u64_ovf() {
		BigEndian::at::<u64>(BitIdx(64));
	}

	#[test]
	fn le_u8_range() {
		assert_eq!(LittleEndian::at::<u8>(BitIdx(0)), BitPos(0));
		assert_eq!(LittleEndian::at::<u8>(BitIdx(1)), BitPos(1));
		assert_eq!(LittleEndian::at::<u8>(BitIdx(2)), BitPos(2));
		assert_eq!(LittleEndian::at::<u8>(BitIdx(3)), BitPos(3));
		assert_eq!(LittleEndian::at::<u8>(BitIdx(4)), BitPos(4));
		assert_eq!(LittleEndian::at::<u8>(BitIdx(5)), BitPos(5));
		assert_eq!(LittleEndian::at::<u8>(BitIdx(6)), BitPos(6));
		assert_eq!(LittleEndian::at::<u8>(BitIdx(7)), BitPos(7));
	}

	#[test]
	#[should_panic]
	fn le_u8_ovf() {
		LittleEndian::at::<u8>(BitIdx(8));
	}

	#[test]
	fn le_u16_range() {
		assert_eq!(LittleEndian::at::<u16>(BitIdx(0)), BitPos(0));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(1)), BitPos(1));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(2)), BitPos(2));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(3)), BitPos(3));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(4)), BitPos(4));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(5)), BitPos(5));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(6)), BitPos(6));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(7)), BitPos(7));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(8)), BitPos(8));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(9)), BitPos(9));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(10)), BitPos(10));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(11)), BitPos(11));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(12)), BitPos(12));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(13)), BitPos(13));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(14)), BitPos(14));
		assert_eq!(LittleEndian::at::<u16>(BitIdx(15)), BitPos(15));
	}

	#[test]
	#[should_panic]
	fn le_u16_ovf() {
		LittleEndian::at::<u16>(BitIdx(16));
	}

	#[test]
	fn le_u32_range() {
		assert_eq!(LittleEndian::at::<u32>(BitIdx(0)), BitPos(0));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(1)), BitPos(1));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(2)), BitPos(2));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(3)), BitPos(3));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(4)), BitPos(4));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(5)), BitPos(5));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(6)), BitPos(6));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(7)), BitPos(7));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(8)), BitPos(8));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(9)), BitPos(9));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(10)), BitPos(10));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(11)), BitPos(11));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(12)), BitPos(12));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(13)), BitPos(13));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(14)), BitPos(14));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(15)), BitPos(15));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(16)), BitPos(16));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(17)), BitPos(17));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(18)), BitPos(18));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(19)), BitPos(19));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(20)), BitPos(20));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(21)), BitPos(21));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(22)), BitPos(22));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(23)), BitPos(23));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(24)), BitPos(24));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(25)), BitPos(25));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(26)), BitPos(26));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(27)), BitPos(27));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(28)), BitPos(28));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(29)), BitPos(29));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(30)), BitPos(30));
		assert_eq!(LittleEndian::at::<u32>(BitIdx(31)), BitPos(31));
	}

	#[test]
	#[should_panic]
	fn le_u32_ovf() {
		LittleEndian::at::<u32>(BitIdx(32));
	}

	#[cfg(target_pointer_width = "64")]
	#[test]
	fn le_u64_range() {
		assert_eq!(LittleEndian::at::<u64>(BitIdx(0)), BitPos(0));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(1)), BitPos(1));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(2)), BitPos(2));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(3)), BitPos(3));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(4)), BitPos(4));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(5)), BitPos(5));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(6)), BitPos(6));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(7)), BitPos(7));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(8)), BitPos(8));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(9)), BitPos(9));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(10)), BitPos(10));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(11)), BitPos(11));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(12)), BitPos(12));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(13)), BitPos(13));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(14)), BitPos(14));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(15)), BitPos(15));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(16)), BitPos(16));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(17)), BitPos(17));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(18)), BitPos(18));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(19)), BitPos(19));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(20)), BitPos(20));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(21)), BitPos(21));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(22)), BitPos(22));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(23)), BitPos(23));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(24)), BitPos(24));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(25)), BitPos(25));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(26)), BitPos(26));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(27)), BitPos(27));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(28)), BitPos(28));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(29)), BitPos(29));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(30)), BitPos(30));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(31)), BitPos(31));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(32)), BitPos(32));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(33)), BitPos(33));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(34)), BitPos(34));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(35)), BitPos(35));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(36)), BitPos(36));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(37)), BitPos(37));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(38)), BitPos(38));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(39)), BitPos(39));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(40)), BitPos(40));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(41)), BitPos(41));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(42)), BitPos(42));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(43)), BitPos(43));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(44)), BitPos(44));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(45)), BitPos(45));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(46)), BitPos(46));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(47)), BitPos(47));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(48)), BitPos(48));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(49)), BitPos(49));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(50)), BitPos(50));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(51)), BitPos(51));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(52)), BitPos(52));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(53)), BitPos(53));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(54)), BitPos(54));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(55)), BitPos(55));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(56)), BitPos(56));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(57)), BitPos(57));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(58)), BitPos(58));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(59)), BitPos(59));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(60)), BitPos(60));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(61)), BitPos(61));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(62)), BitPos(62));
		assert_eq!(LittleEndian::at::<u64>(BitIdx(63)), BitPos(63));
	}

	#[cfg(target_pointer_width = "64")]
	#[test]
	#[should_panic]
	fn le_u64_ovf() {
		LittleEndian::at::<u64>(BitIdx(64));
	}
}