quadrank 0.2.0

Fast rank over binary and size-4 DNA alphabets.
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
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
#![allow(non_camel_case_types)]

use std::{arch::x86_64::_mm_sign_epi32, array::from_fn};
use wide::u32x4;

use crate::quad::{
    BasicBlock, Ranks,
    count1::{count_u8x8, count_u64_mask, count_u64_mid_mask},
    count4::{CountFn, SimdCount10, SimdCount11B, count4_u8x8, double_mid},
};

use super::count4::{
    DOUBLE_TRANSPOSED_MID_MASKS, SimdCountSlice, TRANSPOSED_MID_MASKS, WideSimdCount2,
};

#[inline(always)]
fn strict_add(a: Ranks, b: Ranks) -> Ranks {
    from_fn(|c| a[c].strict_add(b[c]))
}

#[inline(always)]
fn extra_counted<const B: usize, const T: bool, CF: CountFn<B, T>>(pos: usize) -> u32 {
    if CF::S == 0 {
        return 0;
    }
    let ans = (if CF::FIXED {
        (CF::S * 4) - pos % (CF::S * 4)
    } else {
        -(pos as isize) as usize % (CF::S * 4)
    }) as u32;
    ans
}

/// A 512 bit block that does not store any counts itself.
#[repr(align(64))]
#[derive(mem_dbg::MemSize)]
pub struct Basic512 {
    seq: [u8; 64],
}

impl BasicBlock for Basic512 {
    const X: usize = 2; // DNA
    const B: usize = 64; // Bytes of characters in block.
    const N: usize = 256; // Number of characters in block.
    const C: usize = 64; // Bytes of the underlying count function.
    const W: usize = 0;
    const TRANSPOSED: bool = false;

    fn new(_ranks: Ranks, data: &[u8]) -> Self {
        Basic512 {
            seq: *data.as_array().unwrap(),
        }
    }

    #[inline(always)]
    fn count4(&self, pos: usize) -> Ranks {
        type CF = SimdCountSlice;
        let mut ranks = CF::count(&self.seq, pos);
        ranks[0] -= extra_counted::<64, false, CF>(pos);
        ranks
    }
}

/// A 256 bit block that does not store any counts itself.
#[repr(align(32))]
#[derive(mem_dbg::MemSize)]
pub struct Basic256 {
    seq: [u8; 32],
}

impl BasicBlock for Basic256 {
    const X: usize = 2; // DNA
    const B: usize = 32; // Bytes of characters in block.
    const N: usize = 128; // Number of characters in block.
    const C: usize = 32; // Bytes of the underlying count function.
    const W: usize = 0;
    const TRANSPOSED: bool = false;

    fn new(_ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; _] = data.as_array().unwrap();
        Self { seq: *data }
    }

    #[inline(always)]
    fn count4(&self, pos: usize) -> Ranks {
        type CF = SimdCountSlice;
        let mut ranks = CF::count(&self.seq, pos);
        ranks[0] -= extra_counted::<32, false, CF>(pos);
        ranks
    }
}

/// A 256 bit block that does not store any counts itself.
#[repr(align(16))]
#[derive(mem_dbg::MemSize)]
pub struct Basic128 {
    seq: [u8; 16],
}

impl BasicBlock for Basic128 {
    const X: usize = 2; // DNA
    const B: usize = 16; // Bytes of characters in block.
    const N: usize = 64; // Number of characters in block.
    const C: usize = 16; // Bytes of the underlying count function.
    const W: usize = 0;
    const TRANSPOSED: bool = false;

    fn new(_ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; _] = data.as_array().unwrap();
        Self { seq: *data }
    }

    #[inline(always)]
    fn count4(&self, pos: usize) -> Ranks {
        type CF = WideSimdCount2;
        let mut ranks = CF::count(&self.seq, pos);
        ranks[0] -= extra_counted::<_, false, CF>(pos);
        ranks
    }
}

/// u32 global offset to start and 1/2.
#[repr(align(64))]
#[derive(mem_dbg::MemSize)]
pub struct QuadBlock32x2P {
    // 32bit counts for the first and second half.
    ranks: [[u32; 4]; 2],
    // 4*64 = 32*8 = 256 bit packed sequence
    seq: [u8; 32],
}

impl BasicBlock for QuadBlock32x2P {
    const X: usize = 2; // DNA
    const B: usize = 32;
    const N: usize = 128;
    const C: usize = 16;
    const W: usize = 32;
    const TRANSPOSED: bool = false;

    fn new(ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; Self::B] = data.as_array().unwrap();
        let mut half_ranks = ranks;
        // count first half.
        for chunk in &data.as_chunks::<8>().0[0..2] {
            for c in 0..4 {
                half_ranks[c as usize] =
                    half_ranks[c as usize].strict_add(count_u8x8(chunk, c) as u32);
            }
        }
        QuadBlock32x2P {
            ranks: [ranks, half_ranks],
            seq: *data,
        }
    }

    #[inline(always)]
    fn count4(&self, pos: usize) -> Ranks {
        type CF = SimdCount10;
        let mut ranks = [0; 4];

        // 0 or 1 for left or right half
        let half = pos / 64;
        let half_pos = pos % 64;

        let idx = half * 16;
        let inner_counts = CF::count(&self.seq[idx..idx + 16].try_into().unwrap(), half_pos);

        ranks[0] -= extra_counted::<_, _, CF>(pos);

        for c in 0..4 {
            ranks[c] += inner_counts[c];
        }
        for c in 0..4 {
            ranks[c] += self.ranks[half][c];
        }

        ranks
    }
}

/// u32 global offset and 4 8bit deltas to each 64 bit part.
#[repr(align(64))]
#[derive(mem_dbg::MemSize)]
pub struct QuadBlock32_8_8_8FP {
    /// 32bit counts for the entire block
    ranks: [u32; 4],
    /// Each u32 is equivalent to [u8; 4] with counts from start to each u64 quart.
    part_ranks: [u32; 4],
    seq: [u8; 32],
}

impl BasicBlock for QuadBlock32_8_8_8FP {
    const X: usize = 2; // DNA
    const B: usize = 32;
    const N: usize = 128;
    const C: usize = 8;
    const W: usize = 32;
    const TRANSPOSED: bool = false;

    fn new(ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; Self::B] = data.as_array().unwrap();
        let mut part_ranks = [0; 4];
        let mut block_ranks = [0u32; 4];
        // count each part half.
        for (i, chunk) in data.as_chunks::<8>().0.iter().enumerate() {
            for c in 0..4 {
                part_ranks[c] |= block_ranks[c] << (i * 8);
            }
            for c in 0..4 {
                let cnt = count_u8x8(chunk, c) as u32;
                block_ranks[c as usize] += cnt;
            }
        }
        QuadBlock32_8_8_8FP {
            ranks,
            part_ranks,
            seq: *data,
        }
    }

    #[inline(always)]
    fn count4(&self, pos: usize) -> Ranks {
        type CF = SimdCount10;
        let mut ranks = [0; 4];

        let quart = pos / 32;
        let quart_pos = pos % 32;

        let idx = quart * 8;
        let chunk = &self.seq[idx..idx + 8].try_into().unwrap();
        let inner_counts = CF::count(chunk, quart_pos);
        for c in 0..4 {
            ranks[c] += inner_counts[c];
        }

        for c in 0..4 {
            ranks[c] += self.ranks[c];
        }

        for c in 0..4 {
            ranks[c] += (self.part_ranks[c] >> (quart * 8)) & 0xff;
        }

        ranks
    }

    #[inline(always)]
    fn count1(&self, pos: usize, c: u8) -> u32 {
        let mut rank = 0;
        let quart = pos / 32;
        let quart_pos = pos % 32;
        let idx = quart * 8;
        let chunk = u64::from_le_bytes(self.seq[idx..idx + 8].try_into().unwrap());
        let inner_count = count_u64_mask(chunk, c, quart_pos);
        rank += inner_count;
        rank += (self.part_ranks[c as usize] >> (quart * 8)) & 0xff;
        rank += self.ranks[c as usize];

        rank
    }
    #[inline(always)]
    fn count1x2(&self, other: &Self, pos0: usize, pos1: usize, c: u8) -> (u32, u32) {
        let mut rank0 = 0;
        let mut rank1 = 0;
        let quart0 = pos0 / 32;
        let quart_pos0 = pos0 % 32;
        let quart1 = pos1 / 32;
        let quart_pos1 = pos1 % 32;
        let idx0 = quart0 * 8;
        let idx1 = quart1 * 8;
        let chunk0 = u64::from_le_bytes(self.seq[idx0..idx0 + 8].try_into().unwrap());
        let chunk1 = u64::from_le_bytes(other.seq[idx1..idx1 + 8].try_into().unwrap());
        let inner_count0 = count_u64_mask(chunk0, c, quart_pos0);
        let inner_count1 = count_u64_mask(chunk1, c, quart_pos1);
        rank0 += inner_count0;
        rank1 += inner_count1;
        rank0 += (self.part_ranks[c as usize] >> (quart0 * 8)) & 0xff;
        rank1 += (other.part_ranks[c as usize] >> (quart1 * 8)) & 0xff;
        rank0 += self.ranks[c as usize];
        rank1 += other.ranks[c as usize];
        (rank0, rank1)
    }
}

/// Store four 18 bit offsets to 3/6th, and two 7 bit deltas from there to to 1/6th and 5/6th.
/// Then count the previous or next 32bp.
#[repr(align(64))]
#[derive(mem_dbg::MemSize)]
pub struct QuadBlock7_18_7P {
    /// high half: 18bit counts for the global offset to position 32 (middle of first u128).
    /// low half: 2x 7bit counts for the first half of 2nd and 3rd 128 parts.
    ranks: [u32; 4],
    // u128x3 = u8x48 = 384 bit packed sequence
    seq: [u8; 48],
}

impl BasicBlock for QuadBlock7_18_7P {
    const X: usize = 2; // DNA
    const B: usize = 48;
    const N: usize = 192;
    const C: usize = 8;
    const W: usize = 18;
    const TRANSPOSED: bool = false;

    fn new(mut ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; Self::B] = data.as_array().unwrap();
        // Counts before each u64 block.
        let mut bs = [[0u32; 4]; 6];
        // count each part half.
        for (i, chunk) in data.as_chunks::<8>().0.iter().enumerate() {
            bs[i] = strict_add(bs[i], count4_u8x8(*chunk));
        }
        // global ranks are to the middle
        ranks = strict_add(strict_add(ranks, bs[0]), strict_add(bs[1], bs[2]));
        let p1 = strict_add(bs[1], bs[2]);
        let p2 = strict_add(bs[3], bs[4]);
        let part_ranks: Ranks = from_fn(|c| (p1[c] << 7) | p2[c]);
        Self {
            ranks: from_fn(|c| (ranks[c] << 14) | part_ranks[c]),
            seq: *data,
        }
    }

    #[inline(always)]
    fn count4(&self, pos: usize) -> Ranks {
        type CF = SimdCount10;
        let mut ranks = u32x4::splat(0);

        let hex = pos / 32;

        let idx = hex * 8;

        let inner_counts = CF::count_mid(&self.seq[idx..idx + 8].try_into().unwrap(), pos % 64);

        use std::mem::transmute as t;
        let sign = (pos as u32 % 64).wrapping_sub(32);
        ranks += unsafe { t::<_, u32x4>(_mm_sign_epi32(t(inner_counts), t(u32x4::splat(sign)))) };

        let self_ranks = u32x4::new(self.ranks);
        ranks += self_ranks >> 14;

        let shuffle = u32x4::splat(0x000077u32);
        let shift = (shuffle >> (4 * hex) as u32) & u32x4::splat(7);

        let parts = self_ranks & u32x4::splat(0x3fff);
        let sign2 = (hex / 2).wrapping_sub(1);
        ranks += unsafe {
            t::<_, u32x4>(_mm_sign_epi32(
                t((parts >> shift) & u32x4::splat(0x7f)),
                t(u32x4::splat(sign2 as u32)),
            ))
        };
        ranks.to_array()
    }

    #[inline(always)]
    fn count1(&self, pos: usize, c: u8) -> u32 {
        let hex = pos / 32;

        let idx = hex * 8;

        let self_ranks = self.ranks[c as usize];
        let mut rank = self_ranks >> 14;

        let word = u64::from_le_bytes(self.seq[idx..idx + 8].try_into().unwrap());
        let inner = count_u64_mid_mask(word, c, pos % 64);

        rank += if (pos & 32) > 0 {
            inner
        } else {
            inner.wrapping_neg()
        };

        let shuffle = 0x000707u64;
        let shift = (shuffle >> (8 * hex)) & 7;
        let parts = self_ranks & 0x3fff;
        let sign2 = (hex / 2).wrapping_sub(1);
        rank = rank.wrapping_add((((parts) >> shift) & 0x7f).wrapping_mul(sign2 as u32));
        rank
    }

    #[inline(always)]
    fn count1x2(&self, other: &Self, pos0: usize, pos1: usize, c: u8) -> (u32, u32) {
        let hex0 = pos0 / 32;
        let hex1 = pos1 / 32;

        let idx0 = hex0 * 8;
        let idx1 = hex1 * 8;

        let word0 = u64::from_le_bytes(self.seq[idx0..idx0 + 8].try_into().unwrap());
        let inner0 = count_u64_mid_mask(word0, c, pos0 % 64);
        let word1 = u64::from_le_bytes(other.seq[idx1..idx1 + 8].try_into().unwrap());
        let inner1 = count_u64_mid_mask(word1, c, pos1 % 64);

        let mut rank0 = if (pos0 & 32) > 0 {
            inner0
        } else {
            inner0.wrapping_neg()
        };
        let mut rank1 = if (pos1 & 32) > 0 {
            inner1
        } else {
            inner1.wrapping_neg()
        };

        let self_ranks0 = self.ranks[c as usize];
        let self_ranks1 = other.ranks[c as usize];

        rank0 = rank0.wrapping_add(self_ranks0 >> 14);
        rank1 = rank1.wrapping_add(self_ranks1 >> 14);

        let shuffle = 0x000077u32;
        let shift0 = (shuffle >> (4 * hex0) as u32) & 7;
        let shift1 = (shuffle >> (4 * hex1) as u32) & 7;
        let parts0 = self_ranks0 & 0x3fff;
        let parts1 = self_ranks1 & 0x3fff;
        let sign20 = (hex0 / 2).wrapping_sub(1);
        let sign21 = (hex1 / 2).wrapping_sub(1);
        rank0 = rank0.wrapping_add((((parts0) >> shift0) & 0x7f).wrapping_mul(sign20 as u32));
        rank1 = rank1.wrapping_add((((parts1) >> shift1) & 0x7f).wrapping_mul(sign21 as u32));
        (rank0, rank1)
    }
}

fn transpose_bits(data: &[u8; 16]) -> [u64; 2] {
    let mut out = [0u64; 2];
    for i in 0..16 {
        let byte = data[i];
        for b in 0..4 {
            let l = (byte >> (2 * b)) & 1;
            let h = (byte >> (2 * b + 1)) & 1;
            out[0] |= (l as u64) << (4 * i + b);
            out[1] |= (h as u64) << (4 * i + b);
        }
    }
    out
}
fn negate_and_transpose_bits(data: &[u8; 16]) -> [u64; 2] {
    let [l, h] = transpose_bits(data);
    [!l, !h]
}

/// Store four 24 bit offsets to 1/3th, and an 8 bit deltas to the end.
/// Then count the previous or next 64bp.
#[repr(align(64))]
#[derive(mem_dbg::MemSize)]
pub struct QuadBlock24_8 {
    /// 24 high bits: offset to end
    /// 8 low bits: delta to end of first trip
    ranks: [u32; 4],
    // u128x3 = u8x48 = 384 bit packed sequence
    seq: [[u8; 16]; 3],
}

impl BasicBlock for QuadBlock24_8 {
    const X: usize = 2; // DNA
    const B: usize = 48;
    const N: usize = 192;
    const C: usize = 16;
    // TODO: Make this 25
    const W: usize = 24;
    const TRANSPOSED: bool = true;

    fn new(mut ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; Self::B] = data.as_array().unwrap();
        // Counts before each u64 block.
        let mut bs = [[0u32; 4]; 6];
        let mut sum = [0u32; 4];
        // count each part half.
        for (i, chunk) in data.as_chunks::<8>().0.iter().enumerate() {
            bs[i] = strict_add(bs[i], count4_u8x8(*chunk));
            sum = strict_add(sum, bs[i]);
        }
        // global ranks are to block
        ranks = strict_add(ranks, sum);
        let part_rank = strict_add(strict_add(bs[2], bs[3]), strict_add(bs[4], bs[5]));
        Self {
            ranks: from_fn(|c| ranks[c].strict_shl(8).strict_add(part_rank[c])),
            seq: from_fn(|i| unsafe {
                std::mem::transmute(transpose_bits(
                    &data[i * 16..i * 16 + 16].try_into().unwrap(),
                ))
            }),
        }
    }

    #[inline(always)]
    fn count4(&self, pos: usize) -> Ranks {
        type CF = SimdCount11B;
        let mut ranks = u32x4::splat(0);

        let tri = pos / 64;

        let inner_counts = CF::count_mid(&self.seq[tri], pos % 128);

        use std::mem::transmute as t;
        let sign = (pos as u32 % 128).wrapping_sub(64);
        ranks += unsafe { t::<_, u32x4>(_mm_sign_epi32(t(inner_counts), t(u32x4::splat(sign)))) };

        let self_ranks = u32x4::new(self.ranks);
        ranks += self_ranks >> 8;

        // for tri=0 and tri=1, shift down by 0
        // for tri=2, shift down by 8
        let shift = (tri as u32 / 2) * 8;
        let parts = self_ranks & u32x4::splat(0x00ff);
        ranks -= parts >> u32x4::splat(shift);
        ranks.to_array()
    }

    #[inline(always)]
    fn count1(&self, pos: usize, c: u8) -> u32 {
        let tri = pos / 64;
        let [l, h]: [u64; 2] = unsafe { std::mem::transmute(self.seq[tri]) };
        let mask = TRANSPOSED_MID_MASKS[pos % 128];
        let c2 = !(c as u64);
        let l = l ^ (c2 & 1).wrapping_neg();
        let h = h ^ ((c2 >> 1) & 1).wrapping_neg();
        let cnt = (l & h & mask).count_ones();

        let mut rank = self.ranks[c as usize] >> 8;
        let shift = (tri as u32 / 2) * 8;
        let part = self.ranks[c as usize] & 0x00ff;
        rank -= part >> shift;

        if pos % 128 < 64 {
            rank - cnt
        } else {
            rank + cnt
        }
    }
}

/// Store four 64 bit offsets to the middle, then count 64 bp.
///
/// Like BWA-MEM.
#[repr(align(64))]
#[derive(mem_dbg::MemSize)]
pub struct QuadBlock64 {
    // 4*64 = 256 bit counts
    // FIXME: Update to actual u64 values
    ranks: [[u32; 4]; 2],
    // 2x transposed packed sequence
    seq: [[u8; 16]; 2],
}

impl BasicBlock for QuadBlock64 {
    const X: usize = 2; // DNA
    const B: usize = 32;
    const N: usize = 128;
    const C: usize = 16;
    const W: usize = 32;
    const TRANSPOSED: bool = true;

    fn new(mut ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; Self::B] = data.as_array().unwrap();
        // Counts before each u64 block.
        let mut bs = [[0u32; 4]; 4];
        let mut sum = [0u32; 4];
        // count each part half.
        for (i, chunk) in data.as_chunks::<8>().0.iter().enumerate() {
            bs[i] = strict_add(bs[i], count4_u8x8(*chunk));
            sum = strict_add(sum, bs[i]);
        }
        // global ranks are to block
        ranks = strict_add(ranks, strict_add(bs[0], bs[1]));
        Self {
            ranks: [ranks; 2],
            seq: from_fn(|i| unsafe {
                std::mem::transmute(transpose_bits(
                    &data[i * 16..i * 16 + 16].try_into().unwrap(),
                ))
            }),
        }
    }

    #[inline(always)]
    fn count4(&self, pos: usize) -> Ranks {
        type CF = SimdCount11B;
        let mut ranks = u32x4::splat(0);

        let half = pos / 64;

        let inner_counts = CF::count_mid(&self.seq[half], pos % 128);

        use std::mem::transmute as t;
        let sign = (pos as u32).wrapping_sub(64);
        ranks += unsafe { t::<_, u32x4>(_mm_sign_epi32(t(inner_counts), t(u32x4::splat(sign)))) };

        let self_ranks = u32x4::new(self.ranks[0]);
        ranks += self_ranks;

        // for tri=0 and tri=1, shift down by 0
        // for tri=2, shift down by 8
        ranks.to_array()
    }

    #[inline(always)]
    fn count1(&self, pos: usize, c: u8) -> u32 {
        let half = pos / 64;
        let mask = TRANSPOSED_MID_MASKS[pos];
        let [l, h]: [u64; 2] = unsafe { std::mem::transmute(self.seq[half]) };
        let c2 = !(c as u64);
        let l = l ^ (c2 & 1).wrapping_neg();
        let h = h ^ ((c2 >> 1) & 1).wrapping_neg();
        let inner_count = (l & h & mask).count_ones();
        let rank = self.ranks[0][c as usize];
        if pos < 64 {
            rank - inner_count
        } else {
            rank + inner_count
        }
    }
}

/// Store four 32 bit offsets to the middle, then count 128 bp.
#[repr(align(64))]
#[derive(mem_dbg::MemSize)]
pub struct QuadBlock32 {
    // First [u32; 4]: ranks
    // Then [[u64;2];3] of (high, low) transposed pairs
    seq: [[u8; 16]; 4],
}

impl BasicBlock for QuadBlock32 {
    const X: usize = 2; // DNA
    const B: usize = 48;
    const N: usize = 192;
    const C: usize = 0;
    const W: usize = 32;
    const TRANSPOSED: bool = true;

    fn new(mut ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; Self::B] = data.as_array().unwrap();
        // Counts before each u64 block.
        let mut bs = [[0u32; 4]; 6];
        // count each part half.
        for (i, chunk) in data.as_chunks::<8>().0.iter().enumerate() {
            bs[i] = strict_add(bs[i], count4_u8x8(*chunk));
        }
        // global ranks are to block
        unsafe {
            let mut seq = [[0u64; 2]; 4];
            ranks = strict_add(ranks, strict_add(bs[0], bs[1]));
            seq[0] = std::mem::transmute(ranks);
            for i in 0..3 {
                seq[i + 1] = std::mem::transmute(negate_and_transpose_bits(
                    &data[i * 16..i * 16 + 16].try_into().unwrap(),
                ))
            }
            Self {
                seq: std::mem::transmute(seq),
            }
        }
    }

    #[inline(always)]
    fn count4(&self, mut pos: usize) -> Ranks {
        let mut ranks = u32x4::splat(0);

        // correct for 128bits of ranks
        pos += 64;

        let half = pos / 128;

        let inner_counts = double_mid(&self.seq[2 * half..2 * half + 2].try_into().unwrap(), pos);

        use std::mem::transmute as t;
        let sign = (pos as u32).wrapping_sub(128);
        ranks += unsafe { t::<_, u32x4>(_mm_sign_epi32(t(inner_counts), t(u32x4::splat(sign)))) };

        let self_ranks = u32x4::new(unsafe { t(self.seq[0]) });
        ranks += self_ranks;

        ranks.to_array()
    }
}

/// Store four 16 bit offsets to the middle, then count 128 bp.
///
/// The offsets are interleaved with the transposed sequence data:
/// The `[u16; 8]` is `[A, C, high, high, G, T, low, low]`.
#[repr(align(64))]
#[derive(mem_dbg::MemSize)]
pub struct QuadBlock16 {
    seq: [[u8; 16]; 4],
}

impl BasicBlock for QuadBlock16 {
    const X: usize = 2; // DNA
    const B: usize = 56;
    const N: usize = 224;
    const C: usize = 0;
    const W: usize = 16;
    const TRANSPOSED: bool = true;

    fn new(mut ranks: Ranks, data: &[u8]) -> Self {
        let data: &[u8; Self::B] = data.as_array().unwrap();
        // FIXME
        // Counts before each u64 block.
        // count each part half.
        for chunk in data[0..24].as_chunks::<8>().0 {
            ranks = strict_add(ranks, count4_u8x8(*chunk));
        }
        // global ranks are to block
        unsafe {
            let mut seq = [[0u16; 8]; 4];

            let [low, high] = negate_and_transpose_bits(&data[0..16].try_into().unwrap());

            seq[0] = [
                ranks[0].try_into().unwrap(),
                ranks[1].try_into().unwrap(),
                low as u16,
                (low >> 16) as u16,
                ranks[2].try_into().unwrap(),
                ranks[3].try_into().unwrap(),
                high as u16,
                (high >> 16) as u16,
            ];
            for i in 0..3 {
                seq[i + 1] = std::mem::transmute(negate_and_transpose_bits(
                    &data[8 + i * 16..8 + i * 16 + 16].try_into().unwrap(),
                ))
            }
            Self {
                seq: std::mem::transmute(seq),
            }
        }
    }

    #[inline(always)]
    fn count4(&self, mut pos: usize) -> Ranks {
        let mut ranks = u32x4::splat(0);

        // correct for 128bits of ranks
        pos += 32;

        let half = pos / 128;
        // FIXME: Avoid convertion from u64x4 to u32x4 and then back.
        let inner_counts = double_mid(&self.seq[2 * half..2 * half + 2].try_into().unwrap(), pos);

        use std::mem::transmute as t;
        let sign = (pos as u32).wrapping_sub(128);
        // FIXME: Is there a u64x4 equivalent of this?
        ranks += unsafe { t::<_, u32x4>(_mm_sign_epi32(t(inner_counts), t(u32x4::splat(sign)))) };

        let u16s: &[u16; 8] = unsafe { t(&self.seq[0]) };
        // This becomes a single simd shuffle.
        let self_ranks = u32x4::new([
            u16s[0] as u32,
            u16s[1] as u32,
            u16s[4] as u32,
            u16s[5] as u32,
        ]);
        ranks += self_ranks;

        ranks.to_array()
    }

    #[inline(always)]
    fn count1(&self, mut pos: usize, c: u8) -> u32 {
        pos += 32;
        let half = pos / 128;
        let data: &[[u8; 16]; 2] = (self.seq[2 * half..2 * half + 2]).try_into().unwrap();
        let masks = DOUBLE_TRANSPOSED_MID_MASKS[pos];
        let mut cnt = 0;

        for i in 0..2 {
            let l = u64::from_le_bytes(data[i][0..8].try_into().unwrap());
            let h = u64::from_le_bytes(data[i][8..16].try_into().unwrap());
            let mask = masks[i];
            // chunk &= mask;

            let l = l ^ (c as u64 & 1).wrapping_neg();
            let h = h ^ ((c as u64) >> 1).wrapping_neg();
            cnt += (l & h & mask).count_ones();
        }

        let seq_u16 = unsafe { &*(self.seq[0].as_ptr() as *const [u16; 8]) };
        let idx = c + (c & 2);
        let rank = seq_u16[idx as usize] as u32;
        if pos < 128 { rank - cnt } else { rank + cnt }
    }
}