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
//
// Copyright 2023, Colias Group, LLC
//
// SPDX-License-Identifier: BSD-2-Clause
//

#![no_std]

use core::marker::PhantomData;
use core::mem;
use core::ops::{BitAnd, BitAndAssign, BitOr, BitOrAssign, Not, Range, Shl, Shr};

pub trait UnsignedPrimInt:
    UnsignedPrimIntSealed
    + Copy
    + Eq
    + Not<Output = Self>
    + BitAnd<Output = Self>
    + BitOr<Output = Self>
    + BitAndAssign
    + BitOrAssign
    + Shl<usize, Output = Self>
    + Shr<usize, Output = Self>
    + From<bool> // HACK for generic 0 and 1
{
    const NUM_BITS: usize = mem::size_of::<Self>() * 8;

    fn zero() -> Self {
        false.into()
    }

    fn one() -> Self {
        true.into()
    }
}

pub trait PrimInt: PrimIntSealed {
    type Unsigned: UnsignedPrimInt;

    fn cast_from_unsigned(val: Self::Unsigned) -> Self;
    fn cast_to_unsigned(val: Self) -> Self::Unsigned;
}

impl<T> PrimInt for T
where
    T: UnsignedPrimInt + PrimIntSealed,
{
    type Unsigned = Self;

    fn cast_from_unsigned(val: Self::Unsigned) -> Self {
        val
    }

    fn cast_to_unsigned(val: Self) -> Self::Unsigned {
        val
    }
}

use sealing::{PrimIntSealed, UnsignedPrimIntSealed};

mod sealing {
    pub trait UnsignedPrimIntSealed {}

    pub trait PrimIntSealed {}

    impl<T: UnsignedPrimIntSealed> PrimIntSealed for T {}
}

macro_rules! impl_prim_int {
    ($unsigned:ty, $signed:ty) => {
        impl UnsignedPrimInt for $unsigned {}

        impl PrimInt for $signed {
            type Unsigned = $unsigned;

            fn cast_from_unsigned(val: Self::Unsigned) -> Self {
                val as Self
            }

            fn cast_to_unsigned(val: Self) -> Self::Unsigned {
                val as Self::Unsigned
            }
        }

        impl UnsignedPrimIntSealed for $unsigned {}

        impl PrimIntSealed for $signed {}
    };
}

impl_prim_int!(u8, i8);
impl_prim_int!(u16, i16);
impl_prim_int!(u32, i32);
impl_prim_int!(u64, i64);
impl_prim_int!(u128, i128);
impl_prim_int!(usize, isize);

// // //

trait UnsignedPrimIntExt: UnsignedPrimInt {
    fn mask(range: Range<usize>) -> Self {
        debug_assert!(range.start <= range.end);
        debug_assert!(range.end <= Self::NUM_BITS);
        let num_bits = range.end - range.start;
        // avoid overflow
        match num_bits {
            0 => Self::zero(),
            _ if num_bits == Self::NUM_BITS => !Self::zero(),
            _ => !(!Self::zero() << num_bits) << range.start,
        }
    }

    fn take(self, num_bits: usize) -> Self {
        self & Self::mask(0..num_bits)
    }
}

impl<T: UnsignedPrimInt> UnsignedPrimIntExt for T {}

// // //

pub fn get_bit<T: UnsignedPrimInt>(src: &[T], i: usize) -> bool {
    assert!(i < src.len() * T::NUM_BITS);
    src[i / T::NUM_BITS] & (T::one() << (i % T::NUM_BITS)) != T::zero()
}

pub fn get_bits<T: UnsignedPrimInt, U: UnsignedPrimInt + TryFrom<T>>(
    src: &[T],
    src_range: Range<usize>,
) -> U {
    check_range::<T, U>(src, &src_range);

    let num_bits = src_range.end - src_range.start;
    let index_of_first_primitive = src_range.start / T::NUM_BITS;
    let offset_into_first_primitive = src_range.start % T::NUM_BITS;
    let num_bits_from_first_primitive = (T::NUM_BITS - offset_into_first_primitive).min(num_bits);

    let bits_from_first_primitive = (src[index_of_first_primitive] >> offset_into_first_primitive)
        .take(num_bits_from_first_primitive);

    let mut bits = checked_cast::<T, U>(bits_from_first_primitive);
    let mut num_bits_so_far = num_bits_from_first_primitive;
    let mut index_of_cur_primitive = index_of_first_primitive + 1;

    while num_bits_so_far < num_bits {
        let num_bits_from_cur_primitive = (num_bits - num_bits_so_far).min(T::NUM_BITS);
        let bits_from_cur_primitive = src[index_of_cur_primitive].take(num_bits_from_cur_primitive);
        bits |= checked_cast::<T, U>(bits_from_cur_primitive) << num_bits_so_far;
        num_bits_so_far += num_bits_from_cur_primitive;
        index_of_cur_primitive += 1;
    }

    bits
}

pub fn set_bits<T: UnsignedPrimInt, U: UnsignedPrimInt + TryInto<T>>(
    dst: &mut [T],
    dst_range: Range<usize>,
    src: U,
) {
    check_range::<T, U>(dst, &dst_range);

    let num_bits = dst_range.end - dst_range.start;

    assert!(num_bits == U::NUM_BITS || src >> num_bits == U::zero());

    let index_of_first_primitive = dst_range.start / T::NUM_BITS;
    let offset_into_first_primitive = dst_range.start % T::NUM_BITS;
    let num_bits_for_first_primitive = (T::NUM_BITS - offset_into_first_primitive).min(num_bits);
    let bits_for_first_primitive = src.take(num_bits_for_first_primitive);

    dst[index_of_first_primitive] = (dst[index_of_first_primitive]
        & !T::mask(
            offset_into_first_primitive
                ..(offset_into_first_primitive + num_bits_for_first_primitive),
        ))
        | checked_cast(bits_for_first_primitive) << offset_into_first_primitive;

    let mut num_bits_so_far = num_bits_for_first_primitive;
    let mut index_of_cur_primitive = index_of_first_primitive + 1;

    while num_bits_so_far < num_bits {
        let num_bits_for_cur_primitive = (num_bits - num_bits_so_far).min(T::NUM_BITS);
        let bits_for_cur_primitive = (src >> num_bits_so_far).take(num_bits_for_cur_primitive);
        dst[index_of_cur_primitive] = (dst[index_of_cur_primitive]
            & T::mask(num_bits_for_cur_primitive..T::NUM_BITS))
            | checked_cast(bits_for_cur_primitive);
        num_bits_so_far += num_bits_for_cur_primitive;
        index_of_cur_primitive += 1;
    }
}

fn check_range<T: UnsignedPrimInt, U: UnsignedPrimInt>(arr: &[T], range: &Range<usize>) {
    assert!(range.start <= range.end);
    assert!(range.end <= arr.len() * T::NUM_BITS);
    assert!(range.end - range.start <= U::NUM_BITS);
}

fn checked_cast<T: TryInto<U>, U>(val: T) -> U {
    val.try_into().map_err(|_| unreachable!()).unwrap()
}

pub fn set_bits_from_slice<T, U>(
    dst: &mut [T],
    dst_range: Range<usize>,
    src: &[U],
    src_start: usize,
) where
    T: UnsignedPrimInt + TryFrom<usize>,
    U: UnsignedPrimInt,
    usize: TryFrom<U>,
{
    set_bits_from_slice_via::<_, _, usize>(dst, dst_range, src, src_start)
}

fn set_bits_from_slice_via<T, U, V>(
    dst: &mut [T],
    dst_range: Range<usize>,
    src: &[U],
    src_start: usize,
) where
    T: UnsignedPrimInt + TryFrom<V>,
    U: UnsignedPrimInt,
    V: UnsignedPrimInt + TryFrom<U>,
{
    let num_bits = dst_range.len();

    assert!(dst_range.start <= dst_range.end);
    assert!(dst_range.end <= dst.len() * T::NUM_BITS);
    assert!(src_start + num_bits <= src.len() * U::NUM_BITS);

    let mut cur_xfer_start = 0;
    while cur_xfer_start < num_bits {
        let cur_xfer_end = num_bits.min(cur_xfer_start + V::NUM_BITS);
        let cur_xfer_src_range = (src_start + cur_xfer_start)..(src_start + cur_xfer_end);
        let cur_xfer_dst_range =
            (dst_range.start + cur_xfer_start)..(dst_range.start + cur_xfer_end);
        let xfer: V = get_bits(src, cur_xfer_src_range);
        set_bits(dst, cur_xfer_dst_range, xfer);
        cur_xfer_start = cur_xfer_end;
    }
}

// // //

pub fn get<T: UnsignedPrimInt, U: PrimInt>(src: &[T], src_start_bit: usize) -> U
where
    U::Unsigned: TryFrom<T>,
{
    let src_range = src_start_bit..(src_start_bit + U::Unsigned::NUM_BITS);
    U::cast_from_unsigned(get_bits(src, src_range))
}

pub fn set<T: UnsignedPrimInt, U: PrimInt>(dst: &mut [T], dst_start_bit: usize, src: U)
where
    U::Unsigned: TryInto<T>,
{
    let dst_range = dst_start_bit..(dst_start_bit + U::Unsigned::NUM_BITS);
    set_bits(dst, dst_range, U::cast_to_unsigned(src))
}

// // //

#[repr(transparent)]
#[derive(Copy, Clone, Eq, PartialEq, Ord, PartialOrd, Hash, Debug)]
pub struct Bitfield<T, U> {
    inner: T,
    _phantom: PhantomData<U>,
}

impl<T, U> Bitfield<T, U> {
    pub fn new(inner: T) -> Self {
        Self {
            inner,
            _phantom: PhantomData,
        }
    }

    pub fn into_inner(self) -> T {
        self.inner
    }

    pub fn inner(&self) -> &T {
        &self.inner
    }

    pub fn inner_mut(&mut self) -> &mut T {
        &mut self.inner
    }
}

impl<T: UnsignedPrimInt, const N: usize> Bitfield<[T; N], T> {
    pub fn zeroed() -> Self {
        Self::new([T::zero(); N])
    }
}

impl<T: AsRef<[U]>, U: UnsignedPrimInt> Bitfield<T, U> {
    pub fn bits(&self) -> &[U] {
        self.inner().as_ref()
    }

    pub fn get_bits<V: UnsignedPrimInt + TryFrom<U>>(&self, range: Range<usize>) -> V {
        get_bits(self.bits(), range)
    }

    pub fn get_bits_into_slice<V>(&self, range: Range<usize>, dst: &mut [V], dst_start: usize)
    where
        V: UnsignedPrimInt + TryFrom<usize>,
        usize: TryFrom<U>,
    {
        let dst_range = dst_start..(dst_start + range.len());
        set_bits_from_slice(dst, dst_range, self.bits(), range.start)
    }

    pub fn get<V: PrimInt>(&self, start_bit: usize) -> V
    where
        V::Unsigned: TryFrom<U>,
    {
        get(self.bits(), start_bit)
    }
}

impl<T: AsMut<[U]>, U: UnsignedPrimInt> Bitfield<T, U> {
    pub fn bits_mut(&mut self) -> &mut [U] {
        self.inner_mut().as_mut()
    }

    pub fn set_bits<V: UnsignedPrimInt + TryInto<U>>(&mut self, range: Range<usize>, src: V) {
        set_bits(self.bits_mut(), range, src)
    }

    pub fn set_bits_from_slice<V: UnsignedPrimInt>(
        &mut self,
        range: Range<usize>,
        src: &[V],
        src_start: usize,
    ) where
        U: TryFrom<usize>,
        usize: TryFrom<V>,
    {
        set_bits_from_slice(self.bits_mut(), range, src, src_start)
    }

    pub fn set<V: PrimInt>(&mut self, start_bit: usize, src: V)
    where
        V::Unsigned: TryInto<U>,
    {
        set(self.bits_mut(), start_bit, src)
    }
}

// // //

#[cfg(test)]
#[allow(unused_imports)]
mod test {

    extern crate std;

    use std::eprintln;
    use std::fmt;

    use super::*;

    #[test]
    fn zero_gets_zero() {
        assert_eq!(Bitfield::<[u64; 2], _>::zeroed().get_bits::<u64>(50..80), 0);
    }

    fn set_and_get<
        T: UnsignedPrimInt,
        const N: usize,
        U: UnsignedPrimInt + TryInto<T> + TryFrom<T> + fmt::Debug,
    >(
        range: Range<usize>,
        val: U,
    ) {
        let mut arr = Bitfield::<[T; N], _>::zeroed();
        set_bits(arr.inner_mut(), range.clone(), val);
        let observed_val: U = get_bits(arr.inner(), range);
        assert_eq!(observed_val, val);
    }

    #[test]
    fn get_returns_what_was_set() {
        set_and_get::<u8, 3, _>(8..16, !0u8);
        set_and_get::<u8, 3, _>(2..18, !0u32 >> 16);
        set_and_get::<u128, 1, _>(2..18, !0u32 >> 16);
    }

    #[test]
    fn multiple_gets_return_what_was_set_with_multiple_sets() {
        for init in [0, !0] {
            let mut arr = Bitfield::<[u64; 1], u64>::new([init]);
            arr.set_bits::<u64>(0..2, 0b11);
            arr.set_bits::<u64>(60..64, 0b1111);
            arr.set_bits::<u64>(10..11, 0b1);
            assert_eq!(arr.get_bits::<u64>(0..2), 0b11);
            assert_eq!(arr.get_bits::<u64>(60..64), 0b1111);
            assert_eq!(arr.get_bits::<u64>(10..11), 0b1);
        }
    }
}

#[cfg(kani)]
mod verification {
    use super::*;

    #[kani::proof]
    #[kani::unwind(4)]
    fn slice_ops() {
        slice_ops_generic::<u64, 3, u8, 3, u8>(kani::any());
        slice_ops_generic::<u8, 3, u64, 3, u8>(kani::any());
        slice_ops_generic::<u64, 3, u8, 3, u32>(kani::any());
        slice_ops_generic::<u8, 3, u64, 3, u32>(kani::any());
    }

    // The type of kani::any() can't depend on generic parameters, so we pass the arrays as args.
    fn slice_ops_generic<T, const N: usize, U, const M: usize, V>((a, b): ([T; N], [U; M]))
    where
        T: UnsignedPrimInt + TryFrom<V>,
        U: UnsignedPrimInt + TryFrom<V>,
        V: UnsignedPrimInt + TryFrom<T> + TryFrom<U>,
    {
        let n: usize = kani::any();
        let start_a: usize = kani::any();
        let start_b: usize = kani::any();

        kani::assume(n <= a.len());
        kani::assume(n <= b.len());
        kani::assume(
            start_a
                .checked_add(n)
                .map(|end| end <= a.len())
                .unwrap_or(false),
        );
        kani::assume(
            start_b
                .checked_add(n)
                .map(|end| end <= b.len())
                .unwrap_or(false),
        );

        let range_a = start_a..(start_a + n);

        let mut a_mut = a;

        set_bits_from_slice_via::<_, _, V>(&mut a_mut, range_a.clone(), &b, start_b);

        let i: usize = kani::any();
        kani::assume(i < a.len() * T::NUM_BITS);

        let val = get_bit(&a_mut, i);

        let val_expected = if range_a.contains(&i) {
            get_bit(&b, i - start_a + start_b)
        } else {
            get_bit(&a, i)
        };

        assert_eq!(val, val_expected);
    }
}