fuzzcheck 0.13.0

A modular, structure-aware, and feedback-driven fuzzing engine for Rust functions
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
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
use std::collections::{HashMap, HashSet};
use std::convert::TryFrom;
use std::path::{Path, PathBuf};

use flate2::Status;
use object::{Object, ObjectSection};

use super::leb128;

type CovMap = HashMap<[u8; 8], Vec<String>>;

extern "C" {
    pub(crate) fn get_start_instrumentation_counters() -> *mut u64;
    pub(crate) fn get_end_instrumentation_counters() -> *mut u64;
    pub(crate) fn get_start_prf_data() -> *const u8;
    pub(crate) fn get_end_prf_data() -> *const u8;
    pub(crate) fn get_start_prf_names() -> *const u8;
    pub(crate) fn get_end_prf_names() -> *const u8;
}

#[coverage(off)]
pub unsafe fn get_counters() -> &'static mut [u64] {
    let start = get_start_instrumentation_counters();
    let end = get_end_instrumentation_counters();
    let len = end.offset_from(start) as usize;
    std::slice::from_raw_parts_mut(start, len)
}
#[coverage(off)]
pub unsafe fn get_prf_data() -> &'static [u8] {
    let start = get_start_prf_data();
    let end = get_end_prf_data();
    let len = end.offset_from(start) as usize;
    std::slice::from_raw_parts(start, len)
}
#[coverage(off)]
pub unsafe fn get_prf_names() -> &'static [u8] {
    let start = get_start_prf_names();
    let end = get_end_prf_names();
    let len = end.offset_from(start) as usize;
    std::slice::from_raw_parts(start, len)
}

pub struct LLVMCovSections {
    pub covfun: Vec<u8>,
    pub covmap: Vec<u8>,
    pub prf_names: Vec<u8>,
}

#[coverage(off)]
pub fn get_llvm_cov_sections(path: &Path) -> Result<LLVMCovSections, ReadCovMapError> {
    let bin_data = std::fs::read(path).map_err(
        #[coverage(off)]
        |_| ReadCovMapError::CannotReadObjectFile {
            path: path.to_path_buf(),
        },
    )?;
    let obj_file = object::File::parse(&*bin_data).map_err(
        #[coverage(off)]
        |_| ReadCovMapError::CannotReadObjectFile {
            path: path.to_path_buf(),
        },
    )?;
    let covmap = obj_file
        .section_by_name("__llvm_covmap")
        .ok_or(ReadCovMapError::CannotFindSection {
            section: CovMapSection::CovMap,
        })?
        .data()
        .unwrap()
        .to_vec();
    let covfun = obj_file
        .section_by_name("__llvm_covfun")
        .ok_or(ReadCovMapError::CannotFindSection {
            section: CovMapSection::CovFun,
        })?
        .data()
        .unwrap()
        .to_vec();
    Ok(LLVMCovSections {
        covfun,
        covmap,
        prf_names: unsafe { get_prf_names() }.to_vec(),
    })
}

#[coverage(off)]
fn read_counter(counter: usize) -> RawCounter {
    let mask_tag = 0b11;
    let zero_kind = 0b0;
    let reference_kind = 0b01;
    let subtraction_expression_kind = 0b10;
    let addition_expression_kind = 0b11;
    let kind_bits = counter & mask_tag;
    let mask_id = !mask_tag;
    let id = (counter & mask_id) as u32 >> 2;

    if kind_bits == zero_kind {
        return RawCounter::Zero;
    }
    if kind_bits == reference_kind {
        RawCounter::Counter { idx: id as usize }
    } else if kind_bits == addition_expression_kind {
        RawCounter::Expression {
            operation_sign: Sign::Positive,
            idx: id as usize,
        }
    } else if kind_bits == subtraction_expression_kind {
        RawCounter::Expression {
            operation_sign: Sign::Negative,
            idx: id as usize,
        }
    } else {
        unreachable!()
    }
}

#[coverage(off)]
fn read_leb_usize(slice: &[u8], idx: &mut usize) -> usize {
    assert!(!slice.is_empty());
    let (result, pos) = leb128::read_u64_leb128(&slice[*idx..]);
    *idx += pos;
    result as usize
}

#[coverage(off)]
fn read_i64(slice: &[u8], idx: &mut usize) -> i64 {
    assert!(slice.len() >= 8);
    let subslice = <[u8; 8]>::try_from(&slice[*idx..*idx + 8]).unwrap();
    let x = i64::from_le_bytes(subslice);
    *idx += 8;
    x
}
#[coverage(off)]
fn read_u64(slice: &[u8], idx: &mut usize) -> u64 {
    assert!(slice.len() >= 8);
    let subslice = <[u8; 8]>::try_from(&slice[*idx..*idx + 8]).unwrap();
    let x = u64::from_le_bytes(subslice);
    *idx += 8;
    x
}
#[coverage(off)]
fn read_i32(slice: &[u8], idx: &mut usize) -> i32 {
    assert!(slice.len() >= 4);
    let subslice = <[u8; 4]>::try_from(&slice[*idx..*idx + 4]).unwrap();
    let x = i32::from_le_bytes(subslice);
    *idx += 4;
    x
}
#[coverage(off)]
fn read_i16(slice: &[u8], idx: &mut usize) -> i16 {
    assert!(slice.len() >= 2);
    let subslice = <[u8; 2]>::try_from(&slice[*idx..*idx + 2]).unwrap();
    let x = i16::from_le_bytes(subslice);
    *idx += 2;
    x
}
#[coverage(off)]
fn read_u32(slice: &[u8], idx: &mut usize) -> u32 {
    assert!(slice.len() >= 4);
    let subslice = <[u8; 4]>::try_from(&slice[*idx..*idx + 4]).unwrap();
    let x = u32::from_le_bytes(subslice);
    *idx += 4;
    x
}

#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub struct FunctionIdentifier {
    pub name_md5: i64,
    pub structural_hash: u64,
}

#[derive(Clone, Debug)]
pub struct FunctionRecordHeader {
    pub id: FunctionIdentifier,
    pub hash_translation_unit: [u8; 8],
    length_encoded_data: usize,
}

#[coverage(off)]
fn read_first_function_record_fields(covfun: &[u8], idx: &mut usize) -> FunctionRecordHeader {
    let name_md5 = read_i64(covfun, idx);
    let length_encoded_data = read_i32(covfun, idx) as usize;
    let structural_hash = read_u64(covfun, idx);
    let hash_translation_unit = <[u8; 8]>::try_from(&covfun[*idx..*idx + 8]).unwrap();
    *idx += 8;
    FunctionRecordHeader {
        id: FunctionIdentifier {
            name_md5,
            structural_hash,
        },
        hash_translation_unit,
        length_encoded_data,
    }
}

#[derive(Clone, Debug)]
pub struct FileIDMapping {
    pub filename_indices: Vec<usize>,
}

#[coverage(off)]
fn read_file_id_mapping(covfun: &[u8], idx: &mut usize) -> FileIDMapping {
    assert!(!covfun.is_empty());
    let num_indices = read_leb_usize(covfun, idx);
    let mut filename_indices = Vec::new();
    for _ in 0..num_indices {
        filename_indices.push(read_leb_usize(covfun, idx));
    }
    FileIDMapping { filename_indices }
}

#[coverage(off)]
fn read_coverage_expressions(covfun: &[u8], idx: &mut usize) -> Vec<RawExpression> {
    assert!(!covfun.is_empty());

    let num_expressions = read_leb_usize(covfun, idx);
    let mut result = Vec::with_capacity(num_expressions);

    for _ in 0..num_expressions {
        let lhs = read_counter(read_leb_usize(covfun, idx));
        let rhs = read_counter(read_leb_usize(covfun, idx));
        result.push(RawExpression { lhs, rhs });
    }
    result
}

#[derive(Clone, Debug)]
pub struct MappingRegion {
    pub filename_index: usize,
    pub line_start: usize,
    pub line_end: usize,
    pub col_start: usize,
    pub col_end: usize,
}

#[coverage(off)]
fn read_mapping_regions(
    covfun: &[u8],
    idx: &mut usize,
    filename_indices: &[usize],
) -> Result<Vec<(RawCounter, MappingRegion)>, ReadCovMapError> {
    assert!(!covfun.is_empty());
    let mut result = Vec::new();
    // the reference says we should read this number, but it doesn't actually exist
    // and their example doesn't have it either, so I have included here and commented it out
    // let num_regions_arrays = read_leb_usize(covfun, idx);
    // assert_eq!(num_regions_arrays, filename_indices.len());
    for &filename_index in filename_indices {
        let num_regions = read_leb_usize(covfun, idx);
        let mut prev_line_start = 0;
        for _ in 0..num_regions {
            let raw_header = read_leb_usize(covfun, idx);
            let header = read_counter(raw_header); //read_leb_usize(covfun, idx)); // counter or pseudo-counter
            match header {
                RawCounter::Zero if raw_header != 0 => {
                    // TODO: interpret the pseudo counter
                    return Err(ReadCovMapError::PseudoCountersNotSupportedYet { raw_header });
                }
                _ => {}
            }
            let delta_line_start = read_leb_usize(covfun, idx);
            let col_start = read_leb_usize(covfun, idx);
            let num_lines = read_leb_usize(covfun, idx);
            let col_end = read_leb_usize(covfun, idx);

            let line_start = prev_line_start + delta_line_start;
            let line_end = line_start + num_lines;
            prev_line_start = line_start;
            let file_region = MappingRegion {
                filename_index,
                line_start,
                line_end,
                col_start,
                col_end,
            };

            result.push((header, file_region));
        }
    }

    Ok(result)
}

#[coverage(off)]
pub fn read_covfun(covfun: &[u8]) -> Result<Vec<RawFunctionCounters>, ReadCovMapError> {
    let mut results = Vec::new();
    let mut idx = 0;
    while idx < covfun.len() {
        let function_record_header = read_first_function_record_fields(covfun, &mut idx);
        let idx_before_encoding_data = idx;

        // somehow, length_encoded_data == 0 is possible!
        let (file_id_mapping, expressions, counters) = if function_record_header.length_encoded_data == 0 {
            (
                FileIDMapping {
                    filename_indices: vec![],
                },
                vec![],
                vec![],
            )
        } else {
            let file_id_mapping = read_file_id_mapping(covfun, &mut idx);
            let expressions = read_coverage_expressions(covfun, &mut idx);
            let counters = read_mapping_regions(covfun, &mut idx, &file_id_mapping.filename_indices)?;
            (file_id_mapping, expressions, counters)
        };

        if idx_before_encoding_data + function_record_header.length_encoded_data != idx {
            return Err(ReadCovMapError::InconsistentLengthOfEncodedData {
                section: CovMapSection::CovFun,
            });
        }

        let padding = if idx < covfun.len() && idx % 8 != 0 {
            8 - idx % 8
        } else {
            0
        };
        idx += padding;

        if function_record_header.length_encoded_data == 0 {
            assert_eq!(function_record_header.id.structural_hash, 0);
        }
        if function_record_header.id.structural_hash == 0 {
            // dummy function, ignore
            continue;
        }
        results.push(RawFunctionCounters {
            header: function_record_header,
            file_id_mapping,
            expression_list: expressions,
            counters_list: counters,
        });
    }

    Ok(results)
}

pub struct PrfData {
    pub function_id: FunctionIdentifier,
    number_of_counters: usize,
}

#[coverage(off)]
/// This function reads the __llvm_prf_data section.
///
/// ### Implementation notes
/// The `__llvm_prf_data`/profile data section is a list of structs which
/// contain data about the functions which are being instrumented.
///
/// The struct definition can be found here (this is fixed to a given commit, so
/// you may need to look at more recent ones):
/// https://github.com/llvm/llvm-project/blob/7c3b67d2038cfb48a80299089f6a1308eee1df7f/compiler-rt/include/profile/InstrProfData.inc#L65-L95
pub fn read_prf_data(prf_data: &[u8]) -> Result<Vec<PrfData>, ReadCovMapError> {
    let mut counts = Vec::new();
    let mut idx = 0;

    while idx < prf_data.len() {
        let name_md5 = read_i64(prf_data, &mut idx);
        let structural_hash = read_u64(prf_data, &mut idx);
        let function_id = FunctionIdentifier {
            name_md5,
            structural_hash,
        };
        let _relative_counter_ptr = read_u64(prf_data, &mut idx);
        let _relative_bitmap_ptr = read_u64(prf_data, &mut idx);
        let _function_ptr = read_u64(prf_data, &mut idx);
        let _values = read_u64(prf_data, &mut idx); // values are only used for PGO, not coverage instrumentation

        // u32 counters
        let nbr_counters = read_u32(prf_data, &mut idx);

        assert!(nbr_counters >= 1);

        if structural_hash == 0 {
            // it is a dummy function, so it doesn't have counters
            // 1 counter seems to be the minimum for some reason
            assert!(nbr_counters <= 1, "actual number = {nbr_counters}");
        }

        // u16 but aligned
        let _num_value_site_1 = read_i16(prf_data, &mut idx); // this is used for PGO only, I think
        let _num_value_site_2 = read_i16(prf_data, &mut idx);

        let _num_bitmap_bytes = read_u32(prf_data, &mut idx);

        idx += 4;

        // This is no longer a valid check with LLVM 14.0, I think?
        // Maybe due to:
        //     https://github.com/llvm/llvm-project/commit/a1532ed27582038e2d9588108ba0fe8237f01844
        //     https://github.com/llvm/llvm-project/commit/24c615fa6b6b7910c8743f9044226499adfac4e6
        // if let Some((prv_counter_pointer, prv_nbr_counters)) = prv_counter_pointer_and_nbr_counters {
        //     if prv_counter_pointer + 8 * prv_nbr_counters != counter_ptr {
        //         return Err(
        //             ReadCovMapError::InconsistentCounterPointersAndLengths {
        //                 prev_pointer: prv_counter_pointer as usize,
        //                 length: prv_nbr_counters as usize,
        //                 cur_pointer: counter_ptr as usize,
        //             }
        //         );
        //     }
        // }
        // prv_counter_pointer_and_nbr_counters = Some((counter_ptr, nbr_counters as u64));

        counts.push(PrfData {
            function_id,
            number_of_counters: nbr_counters as usize,
        });
    }

    Ok(counts)
}

#[coverage(off)]
fn read_func_names(slice: &[u8], names: &mut Vec<String>) -> Result<(), ReadCovMapError> {
    let slices = slice.split(
        #[coverage(off)]
        |&x| x == 0x01,
    );
    for slice in slices {
        let string = String::from_utf8(slice.to_vec()).map_err(
            #[coverage(off)]
            |_| ReadCovMapError::CannotParseUTF8 {
                section: CovMapSection::PrfNames,
            },
        )?;
        names.push(string);
    }
    Ok(())
}

#[coverage(off)]
pub fn read_prf_names(slice: &[u8], idx: &mut usize) -> Result<Vec<String>, ReadCovMapError> {
    let mut names = Vec::new();
    while *idx < slice.len() {
        let length_uncompressed = read_leb_usize(slice, idx);
        let length_compressed = read_leb_usize(slice, idx);
        if length_compressed == 0 {
            read_func_names(&slice[*idx..*idx + length_uncompressed], &mut names)?;
            *idx += length_uncompressed;
        } else {
            let mut decompressed = vec![0; length_uncompressed];
            let mut decompress = flate2::Decompress::new(true);
            let decompress_result = decompress.decompress(
                &slice[*idx..*idx + length_compressed],
                &mut decompressed,
                flate2::FlushDecompress::Finish,
            );
            if !matches!(decompress_result, Ok(flate2::Status::StreamEnd)) {
                return Err(ReadCovMapError::FailedToDecompress {
                    section: CovMapSection::PrfNames,
                    decompress_result,
                });
            }

            *idx += length_compressed;
            read_func_names(&decompressed, &mut names)?;
        }
    }
    Ok(names)
}
#[derive(Debug)]
pub struct PartialFunctionRecord {
    pub name_function: String,
    pub filenames: Vec<PathBuf>,
    pub counters: RawFunctionCounters,
}

#[derive(Clone, Debug)]
pub struct FunctionRecord {
    pub header: FunctionRecordHeader,
    pub file_id_mapping: FileIDMapping,
    pub expressions: Vec<(ExpandedExpression, Vec<MappingRegion>)>,
    pub inferred_expressions: Vec<(Vec<MappingRegion>, Vec<usize>)>,
    pub name_function: String,
    pub filenames: Vec<PathBuf>,
}

#[coverage(off)]
pub fn filter_covfun(
    records: Vec<RawFunctionCounters>,
    prf_names: HashMap<i64, String>,
    covmap: &CovMap,
    keep: impl Fn(&Path, &str) -> bool,
) -> Vec<PartialFunctionRecord> {
    records
        .into_iter()
        .filter_map(
            #[coverage(off)]
            |function_counters| {
                let name_function = prf_names[&function_counters.header.id.name_md5].clone();
                let name_function = rustc_demangle::demangle(&name_function).to_string();

                let filenames = &covmap[&function_counters.header.hash_translation_unit];
                let mut filepaths = Vec::new();
                for idx in function_counters.file_id_mapping.filename_indices.iter() {
                    let filename = &filenames[*idx];
                    let filepath = Path::new(filename).to_path_buf();
                    if !keep(&filepath, name_function.as_str()) {
                        return None;
                    }
                    filepaths.push(filepath);
                }

                Some(PartialFunctionRecord {
                    name_function,
                    filenames: filepaths,
                    counters: function_counters,
                })
            },
        )
        .collect()
}

#[coverage(off)]
pub fn process_function_records(records: Vec<PartialFunctionRecord>) -> Vec<FunctionRecord> {
    let mut all_expressions = Vec::new();
    for function_record in records {
        let mut expressions: Vec<(ExpandedExpression, Vec<MappingRegion>)> = vec![];
        // map from expanded expression to an index in `expressions`
        let mut expressions_map: HashMap<ExpandedExpression, usize> = HashMap::new();
        let mut all_subexpressions = HashSet::new();

        // NOTE: the order with which the `expressions` variable is built matters
        for (raw_counter, mapping_region) in function_record.counters.counters_list.iter() {
            let mut expanded = ExpandedExpression::default();
            expanded.push_counter(
                raw_counter,
                Sign::Positive,
                &function_record.counters,
                &mut all_subexpressions,
            );
            expanded.sort(); // sort them to canonicalise their representation
            all_subexpressions.insert(expanded.clone());
            if let Some(idx) = expressions_map.get(&expanded) {
                expressions[*idx].1.push(mapping_region.clone());
            } else {
                expressions_map.insert(expanded.clone(), expressions.len());
                expressions.push((expanded.clone(), vec![mapping_region.clone()]));
            }
        }

        let mut to_delete: HashMap<usize, HashSet<ExpandedExpression>> = HashMap::new();

        'outer: for (i, (e1, _)) in expressions.iter().enumerate() {
            if to_delete.contains_key(&i) {
                continue 'outer;
            };
            if e1.add_terms.is_empty() {
                continue 'outer;
            }
            'inner: for (j, (e2, _)) in expressions.iter().enumerate() {
                if i == j {
                    continue 'inner;
                }
                // the below means that every add_term in e1 is also included in e2
                // in other words, the add_terms of e2 are a superset of those of e1
                for c1 in &e1.add_terms {
                    if !e2.add_terms.contains(c1) {
                        continue 'inner;
                    }
                }
                // the below means that every sub_term in e2 is also included in e1
                // in other words, the sub_terms of e1 are a superset of those of e2

                for c2 in &e2.sub_terms {
                    if !e1.sub_terms.contains(c2) {
                        continue 'inner;
                    }
                }

                // for example
                // e1: [1, 2, 3] [4, 5]
                // e2: [1, 2, 3, 6] [4]

                // so if e1 > 0, it follows that e2 > 0
                // so reaching e1 is a sufficient condition to reaching e2

                // we keep track of all sufficient conditions for all deleted expressions
                let mut sufficient_expressions = vec![e1.clone()];
                // also take into consideration the difference of sub terms between e1 and e2
                // e.g. e1 = [c1] [c3, diff_sub_terms]
                //      e2 = [c1, diff_add_terms] [c3]
                // whenever e1 > 0, then e2 > 0
                // diff_sub_terms = [diff_sub_terms]
                // whenever e1 = 0 && diff_sub_terms > 0, then we know e2 > 0 as well
                // otherwise, if e1 = 0 && diff_sub_terms > 0 and e2 = 0, we have:
                // e1 = c1 - c3 - diff_sub_terms = 0 => c1 = c3 + diff_sub_terms
                // e2 = c1 + diff_add_terms - c3 = 0 => diff_add_terms + diff_sub_terms = 0
                // but diff_sub_terms > 0 and diff_add_terms >= 0 ! ---> contradiction
                let mut diff_sub_terms = ExpandedExpression::default();
                for &sub_term in &e1.sub_terms {
                    if !e2.sub_terms.contains(&sub_term) {
                        diff_sub_terms.add_terms.push(sub_term);
                    }
                }
                'q: for (e_suff, _) in expressions.iter() {
                    if e_suff.add_terms.is_empty() {
                        continue 'q;
                    }
                    if !e_suff.sub_terms.is_empty() {
                        continue 'q;
                    }
                    // all terms in e_suff.add_terms must be in diff_sub_terms.add_terms
                    // at least one term in diff_sub_terms.add_terms must be in e_suff.add_terms
                    // e.g.
                    // diff_sub_terms : [c4]
                    // e_suff : [c4]
                    // or
                    // diff_sub_terms: [c4, c5]
                    // e_suff: [c5]
                    for c1 in &e_suff.add_terms {
                        if !diff_sub_terms.add_terms.contains(c1) {
                            continue 'q;
                        }
                    }
                    sufficient_expressions.push(e_suff.clone());
                }
                to_delete.entry(j).or_default().extend(sufficient_expressions);
            }
        }

        let mut to_delete = to_delete.into_iter().collect::<Vec<_>>();
        to_delete.sort_by(
            #[coverage(off)]
            |a, b| b.0.cmp(&a.0),
        );
        let mut deleted = vec![];
        for (e_idx, sufficient_expressions) in to_delete {
            deleted.push((expressions.remove(e_idx).1, sufficient_expressions));
        }

        let mut expression_to_index = HashMap::new();
        for (i, (e, _)) in expressions.iter().enumerate() {
            expression_to_index.insert(e, i);
        }
        let inferred_expressions = deleted
            .into_iter()
            .filter(
                #[coverage(off)]
                |(regions, _)| !regions.is_empty(),
            )
            .map(
                #[coverage(off)]
                |(regions, suff_expressions)| {
                    let suff_expressions = suff_expressions
                        .into_iter()
                        .filter_map(
                            #[coverage(off)]
                            |e| expression_to_index.get(&e).copied(),
                        )
                        .collect::<Vec<_>>();
                    (regions, suff_expressions)
                },
            )
            .collect::<Vec<_>>();

        all_expressions.push(FunctionRecord {
            header: function_record.counters.header,
            file_id_mapping: function_record.counters.file_id_mapping,
            expressions,
            inferred_expressions,
            name_function: function_record.name_function,
            filenames: function_record.filenames,
        });
    }
    all_expressions
}

#[derive(Debug)]
pub enum CovMapSection {
    CovFun,
    CovMap,
    // PrfData,
    PrfNames,
}

#[derive(Debug)]
pub enum ReadCovMapError {
    InconsistentLengthOfEncodedData {
        section: CovMapSection,
    },
    CannotReadObjectFile {
        path: PathBuf,
    },
    CannotFindSection {
        section: CovMapSection,
    },
    PseudoCountersNotSupportedYet {
        raw_header: usize,
    },
    FailedToDecompress {
        section: CovMapSection,
        decompress_result: Result<Status, flate2::DecompressError>,
    },
    NumberOfFilenamesDoesNotMatch {
        actual: usize,
        expected: usize,
    },
    InvalidVersion(i32),
    CannotParseUTF8 {
        section: CovMapSection,
    },
}

#[coverage(off)]
/// Reads the contents of the LLVM coverage map, returning an error if this is
/// not possible.
pub fn read_covmap(covmap: &[u8], idx: &mut usize) -> Result<CovMap, ReadCovMapError> {
    let mut translation_unit_map = HashMap::new();
    while *idx < covmap.len() {
        let _always_0 = read_i32(covmap, idx);
        let length_encoded_data = read_i32(covmap, idx) as usize;
        let _always_0 = read_i32(covmap, idx);
        let version = read_i32(covmap, idx);
        if (3..=6).contains(&version) == false {
            return Err(ReadCovMapError::InvalidVersion(version));
        }

        let encoded_data = &covmap[*idx..*idx + length_encoded_data];
        let filenames = read_list_filenames(encoded_data, &mut 0)?;
        let hash_encoded_data = md5::compute(encoded_data);
        let hash_encoded_data = <[u8; 8]>::try_from(&hash_encoded_data[0..8]).unwrap();

        translation_unit_map.insert(hash_encoded_data, filenames);

        *idx += length_encoded_data;
        let padding = if *idx < covmap.len() && *idx % 8 != 0 {
            8 - *idx % 8
        } else {
            0
        };
        *idx += padding;
    }
    Ok(translation_unit_map)
}

#[coverage(off)]
pub fn read_list_filenames(slice: &[u8], idx: &mut usize) -> Result<Vec<String>, ReadCovMapError> {
    let nbr_filenames = read_leb_usize(slice, idx);
    let length_uncompressed = read_leb_usize(slice, idx);
    let length_compressed = read_leb_usize(slice, idx);

    #[coverage(off)]
    fn read_filenames(slice: &[u8], idx: &mut usize) -> Result<Vec<String>, ReadCovMapError> {
        let mut filenames = Vec::new();
        while *idx < slice.len() {
            let len = read_leb_usize(slice, idx);
            let filename = String::from_utf8(slice[*idx..*idx + len].to_vec()).map_err(
                #[coverage(off)]
                |_| ReadCovMapError::CannotParseUTF8 {
                    section: CovMapSection::CovMap,
                },
            )?;
            filenames.push(filename);
            *idx += len;
        }
        Ok(filenames)
    }

    let filenames = if length_compressed == 0 {
        read_filenames(slice, idx)?
    } else {
        let mut decompressed = vec![0; length_uncompressed];
        let mut decompress = flate2::Decompress::new(true);
        let decompress_result = decompress.decompress(
            &slice[*idx..*idx + length_compressed],
            &mut decompressed,
            flate2::FlushDecompress::Finish,
        );
        if !matches!(decompress_result, Ok(flate2::Status::StreamEnd)) {
            return Err(ReadCovMapError::FailedToDecompress {
                section: CovMapSection::CovMap,
                decompress_result,
            });
        }

        *idx += length_compressed;
        let mut decompressed_idx = 0;
        read_filenames(&decompressed, &mut decompressed_idx)?
    };

    if filenames.len() != nbr_filenames {
        return Err(ReadCovMapError::NumberOfFilenamesDoesNotMatch {
            actual: filenames.len(),
            expected: nbr_filenames,
        });
    }

    Ok(filenames)
}

// an expression read in function records (__llvm_covfun section)
#[derive(Debug)]
pub struct RawExpression {
    pub lhs: RawCounter,
    pub rhs: RawCounter,
}

// a counter read in function records (__llvm_covfun section)
#[derive(Debug)]
pub enum RawCounter {
    Zero,
    Counter { idx: usize },
    Expression { operation_sign: Sign, idx: usize },
}

#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub enum Sign {
    Negative,
    Positive,
}

#[derive(Debug)]
pub struct RawFunctionCounters {
    pub header: FunctionRecordHeader,
    pub file_id_mapping: FileIDMapping,
    pub expression_list: Vec<RawExpression>,
    pub counters_list: Vec<(RawCounter, MappingRegion)>,
}

#[derive(Clone, Debug, Default, PartialEq, Eq, Hash, PartialOrd, Ord)]
pub struct ExpandedExpression {
    pub add_terms: Vec<usize>, // Counter indices
    pub sub_terms: Vec<usize>, // Counter indices
}

impl Sign {
    #[coverage(off)]
    fn negated(self) -> Self {
        match self {
            Sign::Negative => Sign::Positive,
            Sign::Positive => Sign::Negative,
        }
    }
    #[coverage(off)]
    fn and(self, other: Self) -> Self {
        match other {
            Sign::Negative => self.negated(),
            Sign::Positive => self,
        }
    }
}

impl ExpandedExpression {
    #[coverage(off)]
    fn push_leaf_counter(&mut self, term: usize, expr_operation_sign: Sign) {
        let (recipient, counterpart) = match expr_operation_sign {
            Sign::Negative => (&mut self.sub_terms, &mut self.add_terms),
            Sign::Positive => (&mut self.add_terms, &mut self.sub_terms),
        };
        if let Some(index_in_counterpart) = counterpart.iter().position(
            #[coverage(off)]
            |&x| x == term,
        ) {
            counterpart.remove(index_in_counterpart);
        } else {
            recipient.push(term);
        }
    }
    #[coverage(off)]
    pub fn push_counter(
        &mut self,
        c: &RawCounter,
        sign: Sign,
        ctx: &RawFunctionCounters,
        expressions: &mut HashSet<ExpandedExpression>,
    ) {
        match c {
            RawCounter::Zero => {}
            RawCounter::Counter { idx } => {
                self.push_leaf_counter(*idx, sign);
                let mut e = ExpandedExpression::default();
                e.add_terms.push(*idx);
                expressions.insert(e);
            }
            RawCounter::Expression { operation_sign, idx } => {
                let e = &ctx.expression_list[*idx];
                let lhs = &e.lhs;
                self.push_counter(lhs, sign, ctx, expressions);
                let rhs = &e.rhs;
                self.push_counter(rhs, sign.and(*operation_sign), ctx, expressions);
            }
        }
    }
    #[coverage(off)]
    pub fn sort(&mut self) {
        self.add_terms.sort_unstable();
        self.sub_terms.sort_unstable();
    }
}

pub struct OptimisedExpandedExpression {
    add_terms: Vec<*const u64>,
    sub_terms: Vec<*const u64>,
}
impl OptimisedExpandedExpression {
    #[coverage(off)]
    pub fn compute(&self) -> u64 {
        unsafe {
            let mut result = 0;
            for &add_term in self.add_terms.iter() {
                result += *add_term;
            }
            for &sub_term in self.sub_terms.iter() {
                result -= *sub_term;
            }
            result
        }
    }
}

impl ExpandedExpression {
    #[coverage(off)]
    fn optimised(&self, counters: &[u64]) -> OptimisedExpandedExpression {
        let mut add_terms = Vec::new();
        let mut sub_terms = Vec::new();
        for &add_term in &self.add_terms {
            add_terms.push(&counters[add_term] as *const _);
        }
        for &sub_term in &self.sub_terms {
            sub_terms.push(&counters[sub_term] as *const _);
        }
        add_terms.sort_unstable();
        sub_terms.sort_unstable();
        OptimisedExpandedExpression { add_terms, sub_terms }
    }
}

pub struct Coverage {
    pub function_record: FunctionRecord,
    pub start_counters: *mut u64,
    pub counters_len: usize,
    pub single_counters: Vec<*mut u64>,
    pub expression_counters: Vec<OptimisedExpandedExpression>,
}

impl Coverage {
    #[coverage(off)]
    pub fn new(
        function_records: Vec<FunctionRecord>,
        prf_datas: Vec<PrfData>,
        all_counters: &'static mut [u64],
    ) -> Result<Vec<Coverage>, ReadCovMapError> {
        let mut start_idx = 0;
        prf_datas
            .iter()
            .filter_map(
                #[coverage(off)]
                |prf_data| {
                    let prf_data: &PrfData = prf_data;
                    if prf_data.function_id.structural_hash == 0 {
                        return None;
                    }
                    let range = start_idx..start_idx + prf_data.number_of_counters;
                    start_idx = range.end;
                    let f_r = function_records.iter().find(
                        #[coverage(off)]
                        |fr| fr.header.id == prf_data.function_id,
                    )?;

                    let slice = &mut all_counters[range];
                    let mut single_counters = Vec::new();
                    let mut expression_counters = Vec::new();

                    for (e, _) in f_r.expressions.iter() {
                        if e.add_terms.is_empty() && e.sub_terms.is_empty() {
                            continue;
                        } else if e.add_terms.len() == 1 && e.sub_terms.is_empty() {
                            single_counters.push(&mut slice[e.add_terms[0]] as *mut _);
                        } else if !e.add_terms.is_empty() {
                            expression_counters.push(e.optimised(slice));
                        } else {
                            panic!(
                                "An expression contains only sub terms\nAdd terms: {:?}\nSub terms: {:?}",
                                e.add_terms, e.sub_terms
                            );
                        }
                    }
                    Some(Ok(Coverage {
                        function_record: f_r.clone(),
                        start_counters: slice.as_mut_ptr(),
                        counters_len: slice.len(),
                        single_counters,
                        expression_counters,
                    }))
                },
            )
            .collect()
    }
}