File: statistics.go

package info (click to toggle)
golang-github-apache-arrow-go 18.2.0-1
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid, trixie
  • size: 32,200 kB
  • sloc: asm: 477,547; ansic: 5,369; cpp: 759; sh: 585; makefile: 319; python: 190; sed: 5
file content (1065 lines) | stat: -rw-r--r-- 31,428 bytes parent folder | download
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
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements.  See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership.  The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License.  You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

package metadata

import (
	"bytes"
	"encoding/binary"
	"fmt"
	"math"
	"unsafe"

	"github.com/apache/arrow-go/v18/arrow"
	"github.com/apache/arrow-go/v18/arrow/float16"
	"github.com/apache/arrow-go/v18/arrow/memory"
	"github.com/apache/arrow-go/v18/internal/bitutils"
	shared_utils "github.com/apache/arrow-go/v18/internal/utils"
	"github.com/apache/arrow-go/v18/parquet"
	"github.com/apache/arrow-go/v18/parquet/internal/debug"
	"github.com/apache/arrow-go/v18/parquet/internal/encoding"
	format "github.com/apache/arrow-go/v18/parquet/internal/gen-go/parquet"
	"github.com/apache/arrow-go/v18/parquet/schema"
)

//go:generate go run ../../arrow/_tools/tmpl/main.go -i -data=statistics_types.tmpldata statistics_types.gen.go.tmpl

type StatProvider interface {
	GetMin() []byte
	GetMax() []byte
	GetNullCount() int64
	GetDistinctCount() int64
	IsSetMax() bool
	IsSetMin() bool
	IsSetNullCount() bool
	IsSetDistinctCount() bool
}

// EncodedStatistics are raw statistics with encoded values that will be written
// to the parquet file, or was read from the parquet file.
type EncodedStatistics struct {
	HasMax           bool
	Max              []byte
	HasMin           bool
	Min              []byte
	Signed           bool
	HasNullCount     bool
	NullCount        int64
	HasDistinctCount bool
	DistinctCount    int64

	AllNullValue bool
}

// ApplyStatSizeLimits sets the maximum size of the min/max values.
//
// from parquet-mr
// we don't write stats larger than the max size rather than truncating.
// the rationale is that some engines may use the minimum value in the page
// as the true minimum for aggregations and there is no way to mark that
// a value has been truncated and is a lower bound and not in the page
func (e *EncodedStatistics) ApplyStatSizeLimits(length int) {
	if len(e.Max) > length {
		e.HasMax = false
	}
	if len(e.Min) > length {
		e.HasMin = false
	}
}

// IsSet returns true iff one of the Has* values is true.
func (e *EncodedStatistics) IsSet() bool {
	return e.HasMin || e.HasMax || e.HasNullCount || e.HasDistinctCount
}

// SetMax sets the encoded Max value to val and sets HasMax to true
func (e *EncodedStatistics) SetMax(val []byte) *EncodedStatistics {
	e.Max = val[:]
	e.HasMax = true
	return e
}

// SetMin sets the encoded Min value to val, and sets HasMin to true
func (e *EncodedStatistics) SetMin(val []byte) *EncodedStatistics {
	e.Min = val[:]
	e.HasMin = true
	return e
}

// SetNullCount sets the NullCount to val and sets HasNullCount to true
func (e *EncodedStatistics) SetNullCount(val int64) *EncodedStatistics {
	e.NullCount = val
	e.HasNullCount = true
	return e
}

// SetDistinctCount sets the DistinctCount to val and sets HasDistinctCount to true
func (e *EncodedStatistics) SetDistinctCount(val int64) *EncodedStatistics {
	e.DistinctCount = val
	e.HasDistinctCount = true
	return e
}

func (e *EncodedStatistics) ToThrift() (stats *format.Statistics) {
	stats = format.NewStatistics()
	if e.HasMin {
		stats.MinValue = e.Min
		// if sort order is SIGNED then the old min value must be set too for backwards compatibility
		if e.Signed {
			stats.Min = e.Min
		}
	}
	if e.HasMax {
		stats.MaxValue = e.Max
		// if sort order is SIGNED then old max value must be set to
		if e.Signed {
			stats.Max = e.Max
		}
	}
	if e.HasNullCount {
		stats.NullCount = &e.NullCount
	}
	if e.HasDistinctCount {
		stats.DistinctCount = &e.DistinctCount
	}
	return
}

// TypedStatistics is the base interface for dealing with stats as
// they are being populated
type TypedStatistics interface {
	// Type is the underlying physical type for this stat block
	Type() parquet.Type
	// Returns true if there is a min and max value set for this stat object
	HasMinMax() bool
	// Returns true if a nullcount has been set
	HasNullCount() bool
	// returns true only if a distinct count has been set
	// current implementation does of the writer does not automatically populate
	// the distinct count right now.
	HasDistinctCount() bool
	NullCount() int64
	DistinctCount() int64
	NumValues() int64
	// return the column descriptor that this stat object was initialized with
	Descr() *schema.Column

	// Encode the current min value and return the bytes. ByteArray does not
	// include the len in the encoded bytes, otherwise this is identical to
	// plain encoding
	EncodeMin() []byte
	// Encode the current max value and return the bytes. ByteArray does not
	// include the len in the encoded bytes, otherwise this is identical to
	// plain encoding
	EncodeMax() []byte
	// Populate an EncodedStatistics object from the current stats
	Encode() (EncodedStatistics, error)
	// Resets all values to 0 to enable reusing this stat object for multiple
	// columns, by calling Encode to get the finished values and then calling
	// reset
	Reset()
	// Merge the min/max/nullcounts and distinct count from the passed stat object
	// into this one.
	Merge(TypedStatistics)

	// UpdateFromArrow updates the statistics from an Arrow Array,
	// only updating the null and num value counts if updateCounts
	// is true.
	UpdateFromArrow(values arrow.Array, updateCounts bool) error
	// IncNulls increments the number of nulls in the statistics
	// and marks HasNullCount as true
	IncNulls(int64)
	// IncDistinct increments the number of distinct values in
	// the statistics and marks HasDistinctCount as true
	IncDistinct(int64)
	// IncNumValues increments the total number of values in
	// the statistics
	IncNumValues(int64)
}

type statistics struct {
	descr            *schema.Column
	hasMinMax        bool
	hasNullCount     bool
	hasDistinctCount bool
	mem              memory.Allocator
	nvalues          int64
	stats            EncodedStatistics
	order            schema.SortOrder

	encoder encoding.TypedEncoder
}

func (s *statistics) IncNumValues(n int64) {
	s.nvalues += n
}
func (s *statistics) IncNulls(n int64) {
	s.stats.NullCount += n
	s.hasNullCount = true
}
func (s *statistics) IncDistinct(n int64) {
	s.stats.DistinctCount += n
	s.hasDistinctCount = true
}

func (s *statistics) Descr() *schema.Column  { return s.descr }
func (s *statistics) Type() parquet.Type     { return s.descr.PhysicalType() }
func (s *statistics) HasDistinctCount() bool { return s.hasDistinctCount }
func (s *statistics) HasMinMax() bool        { return s.hasMinMax }
func (s *statistics) HasNullCount() bool     { return s.hasNullCount }
func (s *statistics) NullCount() int64       { return s.stats.NullCount }
func (s *statistics) DistinctCount() int64   { return s.stats.DistinctCount }
func (s *statistics) NumValues() int64       { return s.nvalues }

func (s *statistics) Reset() {
	s.stats.NullCount = 0
	s.stats.DistinctCount = 0
	s.nvalues = 0
	s.hasMinMax = false
	s.hasDistinctCount = false
	s.hasNullCount = false
}

// base merge function for base non-typed stat object so we don't have to
// duplicate this in each of the typed implementations
func (s *statistics) merge(other TypedStatistics) {
	s.nvalues += other.NumValues()
	if other.HasNullCount() {
		s.stats.NullCount += other.NullCount()
	}
	if other.HasDistinctCount() {
		// this isn't technically correct as it should be keeping an actual set
		// of the distinct values and then combining the sets to get a new count
		// but for now we'll do this to match the C++ implementation at the current
		// time.
		s.stats.DistinctCount += other.DistinctCount()
	}
}

func coalesce(val, fallback interface{}) interface{} {
	switch v := val.(type) {
	case float32:
		if math.IsNaN(float64(v)) {
			return fallback
		}
	case float64:
		if math.IsNaN(v) {
			return fallback
		}
	}
	return val
}

func signedByteLess(a, b []byte) bool {
	// signed comparison is used for integers encoded as big-endian twos complement
	// integers (e.g. decimals)

	// if at least one of the lengths is zero, we can short circuit
	if len(a) == 0 || len(b) == 0 {
		return len(a) == 0 && len(b) > 0
	}

	sa := *(*[]int8)(unsafe.Pointer(&a))
	sb := *(*[]int8)(unsafe.Pointer(&b))

	// we can short circuit for different signed numbers or for equal length byte
	// arrays that have different first bytes. The equality requirement is necessary
	// for sign extension cases. 0xFF10 should be equal to 0x10 (due to big endian sign extension)
	if int8(0x80&uint8(sa[0])) != int8(0x80&uint8(sb[0])) || (len(sa) == len(sb) && sa[0] != sb[0]) {
		return sa[0] < sb[0]
	}

	// when the lengths are unequal and the numbers are of the same sign, we need
	// to do comparison by sign extending the shorter value first, and once we get
	// to equal sized arrays, lexicographical unsigned comparison of everything but
	// the first byte is sufficient.

	if len(a) != len(b) {
		var lead []byte
		if len(a) > len(b) {
			leadLen := len(a) - len(b)
			lead = a[:leadLen]
			a = a[leadLen:]
		} else {
			debug.Assert(len(a) < len(b), "something weird in byte slice signed comparison")
			leadLen := len(b) - len(a)
			lead = b[:leadLen]
			b = b[leadLen:]
		}

		// compare extra bytes to the sign extension of the first byte of the other number
		var extension byte
		if sa[0] < 0 {
			extension = 0xFF
		}

		notequal := false
		for _, c := range lead {
			if c != extension {
				notequal = true
				break
			}
		}

		if notequal {
			// since sign extension are extrema values for unsigned bytes:
			//
			// Four cases exist:
			//	 negative values:
			//	   b is the longer value
			//       b must be the lesser value: return false
			//     else:
			//       a must be the lesser value: return true
			//
			//   positive values:
			//     b is the longer value
			//       values in b must be greater than a: return true
			//     else:
			//       values in a must be greater than b: return false
			neg := sa[0] < 0
			blonger := len(sa) < len(sb)
			return neg != blonger
		}
	} else {
		a = a[1:]
		b = b[1:]
	}

	return bytes.Compare(a, b) == -1
}

func (BooleanStatistics) defaultMin() bool { return true }
func (BooleanStatistics) defaultMax() bool { return false }
func (s *Int32Statistics) defaultMin() int32 {
	if s.order == schema.SortUNSIGNED {
		val := uint32(math.MaxUint32)
		return int32(val)
	}
	return math.MaxInt32
}

func (s *Int32Statistics) defaultMax() int32 {
	if s.order == schema.SortUNSIGNED {
		return int32(0)
	}
	return math.MinInt32
}

func (s *Int64Statistics) defaultMin() int64 {
	if s.order == schema.SortUNSIGNED {
		val := uint64(math.MaxUint64)
		return int64(val)
	}
	return math.MaxInt64
}

func (s *Int64Statistics) defaultMax() int64 {
	if s.order == schema.SortUNSIGNED {
		return int64(0)
	}
	return math.MinInt64
}

var (
	defaultMinInt96  parquet.Int96
	defaultMinUInt96 parquet.Int96
	defaultMaxInt96  parquet.Int96
	defaultMaxUInt96 parquet.Int96

	defaultMinFloat16 parquet.FixedLenByteArray = float16.MaxNum.ToLEBytes()
	defaultMaxFloat16 parquet.FixedLenByteArray = float16.MinNum.ToLEBytes()
)

func init() {
	i96 := arrow.Uint32Traits.CastFromBytes(defaultMinInt96[:])
	i96[0] = math.MaxUint32
	i96[1] = math.MaxUint32
	i96[2] = math.MaxInt32

	i96 = arrow.Uint32Traits.CastFromBytes(defaultMinUInt96[:])
	i96[0] = math.MaxUint32
	i96[1] = math.MaxUint32
	i96[2] = math.MaxUint32

	// golang will initialize the bytes to 0
	i96 = arrow.Uint32Traits.CastFromBytes(defaultMaxInt96[:])
	i96[2] = math.MaxInt32 + 1

	// defaultMaxUInt96 will be initialized to 0 as desired
}

func (s *Int96Statistics) defaultMin() parquet.Int96 {
	if s.order == schema.SortUNSIGNED {
		return defaultMinUInt96
	}
	return defaultMinInt96
}

func (s *Int96Statistics) defaultMax() parquet.Int96 {
	if s.order == schema.SortUNSIGNED {
		return defaultMaxUInt96
	}
	return defaultMaxInt96
}

func (Float16Statistics) defaultMin() parquet.FixedLenByteArray {
	return defaultMinFloat16
}

func (Float16Statistics) defaultMax() parquet.FixedLenByteArray {
	return defaultMaxFloat16
}

func (Float32Statistics) defaultMin() float32                             { return math.MaxFloat32 }
func (Float32Statistics) defaultMax() float32                             { return -math.MaxFloat32 }
func (Float64Statistics) defaultMin() float64                             { return math.MaxFloat64 }
func (Float64Statistics) defaultMax() float64                             { return -math.MaxFloat64 }
func (ByteArrayStatistics) defaultMin() parquet.ByteArray                 { return nil }
func (ByteArrayStatistics) defaultMax() parquet.ByteArray                 { return nil }
func (FixedLenByteArrayStatistics) defaultMin() parquet.FixedLenByteArray { return nil }
func (FixedLenByteArrayStatistics) defaultMax() parquet.FixedLenByteArray { return nil }

func (BooleanStatistics) equal(a, b bool) bool                { return a == b }
func (Int32Statistics) equal(a, b int32) bool                 { return a == b }
func (Int64Statistics) equal(a, b int64) bool                 { return a == b }
func (Float32Statistics) equal(a, b float32) bool             { return a == b }
func (Float64Statistics) equal(a, b float64) bool             { return a == b }
func (Int96Statistics) equal(a, b parquet.Int96) bool         { return bytes.Equal(a[:], b[:]) }
func (ByteArrayStatistics) equal(a, b parquet.ByteArray) bool { return bytes.Equal(a, b) }
func (FixedLenByteArrayStatistics) equal(a, b parquet.FixedLenByteArray) bool {
	return bytes.Equal(a, b)
}

func (Float16Statistics) equal(a, b parquet.FixedLenByteArray) bool {
	return float16.FromLEBytes(a).Equal(float16.FromLEBytes(b))
}

func (BooleanStatistics) less(a, b bool) bool {
	return !a && b
}

func (s *Int32Statistics) less(a, b int32) bool {
	if s.order == schema.SortUNSIGNED {
		return uint32(a) < uint32(b)
	}
	return a < b
}

func (s *Int64Statistics) less(a, b int64) bool {
	if s.order == schema.SortUNSIGNED {
		return uint64(a) < uint64(b)
	}
	return a < b
}
func (Float32Statistics) less(a, b float32) bool { return a < b }
func (Float64Statistics) less(a, b float64) bool { return a < b }
func (s *Int96Statistics) less(a, b parquet.Int96) bool {
	i96a := arrow.Uint32Traits.CastFromBytes(a[:])
	i96b := arrow.Uint32Traits.CastFromBytes(b[:])

	a0, a1, a2 := shared_utils.ToLEUint32(i96a[0]), shared_utils.ToLEUint32(i96a[1]), shared_utils.ToLEUint32(i96a[2])
	b0, b1, b2 := shared_utils.ToLEUint32(i96b[0]), shared_utils.ToLEUint32(i96b[1]), shared_utils.ToLEUint32(i96b[2])

	if a2 != b2 {
		// only the msb bit is by signed comparison
		if s.order == schema.SortSIGNED {
			return int32(a2) < int32(b2)
		}
		return a2 < b2
	} else if a1 != b1 {
		return a1 < b1
	}
	return a0 < b0
}

func (s *ByteArrayStatistics) less(a, b parquet.ByteArray) bool {
	if s.order == schema.SortUNSIGNED {
		return bytes.Compare(a, b) == -1
	}

	return signedByteLess([]byte(a), []byte(b))
}

func (s *FixedLenByteArrayStatistics) less(a, b parquet.FixedLenByteArray) bool {
	if s.order == schema.SortUNSIGNED {
		return bytes.Compare(a, b) == -1
	}

	return signedByteLess([]byte(a), []byte(b))
}

func (Float16Statistics) less(a, b parquet.FixedLenByteArray) bool {
	return float16.FromLEBytes(a).Less(float16.FromLEBytes(b))
}

func (BooleanStatistics) cleanStat(minMax minmaxPairBoolean) *minmaxPairBoolean { return &minMax }
func (Int32Statistics) cleanStat(minMax minmaxPairInt32) *minmaxPairInt32       { return &minMax }
func (Int64Statistics) cleanStat(minMax minmaxPairInt64) *minmaxPairInt64       { return &minMax }
func (Int96Statistics) cleanStat(minMax minmaxPairInt96) *minmaxPairInt96       { return &minMax }

// in the case of floating point types, the following rules are applied as per parquet-mr:
// - if any of min/max is NaN, return nothing
// - if min is 0.0f replace with -0.0f
// - if max is -0.0f replace with 0.0f
//
// https://issues.apache.org/jira/browse/PARQUET-1222 tracks the official documenting of
// a well-defined order for floats and doubles.
func (Float32Statistics) cleanStat(minMax minmaxPairFloat32) *minmaxPairFloat32 {
	if math.IsNaN(float64(minMax[0])) || math.IsNaN(float64(minMax[1])) {
		return nil
	}

	if minMax[0] == math.MaxFloat32 && minMax[1] == -math.MaxFloat32 {
		return nil
	}

	var zero float32 = 0
	if minMax[0] == zero && !math.Signbit(float64(minMax[0])) {
		minMax[0] = -minMax[0]
	}

	if minMax[1] == zero && math.Signbit(float64(minMax[1])) {
		minMax[1] = -minMax[1]
	}

	return &minMax
}

func (Float64Statistics) cleanStat(minMax minmaxPairFloat64) *minmaxPairFloat64 {
	if math.IsNaN(minMax[0]) || math.IsNaN(minMax[1]) {
		return nil
	}

	if minMax[0] == math.MaxFloat64 && minMax[1] == -math.MaxFloat64 {
		return nil
	}

	var zero float64 = 0
	if minMax[0] == zero && !math.Signbit(minMax[0]) {
		minMax[0] = -minMax[0]
	}

	if minMax[1] == zero && math.Signbit(minMax[1]) {
		minMax[1] = -minMax[1]
	}

	return &minMax
}

func (Float16Statistics) cleanStat(minMax minmaxPairFloat16) *minmaxPairFloat16 {
	min := float16.FromLEBytes(minMax[0][:])
	max := float16.FromLEBytes(minMax[1][:])

	if min.IsNaN() || max.IsNaN() {
		return nil
	}

	if min.Equal(float16.MaxNum) && max.Equal(float16.MinNum) {
		return nil
	}

	zero := float16.New(0)
	if min.Equal(zero) && !min.Signbit() {
		minMax[0] = min.Negate().ToLEBytes()
	}
	if max.Equal(zero) && max.Signbit() {
		minMax[1] = max.Negate().ToLEBytes()
	}

	return &minMax
}

func (ByteArrayStatistics) cleanStat(minMax minmaxPairByteArray) *minmaxPairByteArray {
	if minMax[0] == nil || minMax[1] == nil {
		return nil
	}
	return &minMax
}

func (FixedLenByteArrayStatistics) cleanStat(minMax minmaxPairFixedLenByteArray) *minmaxPairFixedLenByteArray {
	if minMax[0] == nil || minMax[1] == nil {
		return nil
	}
	return &minMax
}

func GetStatValue(typ parquet.Type, val []byte) interface{} {
	switch typ {
	case parquet.Types.Boolean:
		return val[0] != 0
	case parquet.Types.Int32:
		return int32(binary.LittleEndian.Uint32(val))
	case parquet.Types.Int64:
		return int64(binary.LittleEndian.Uint64(val))
	case parquet.Types.Int96:
		p := parquet.Int96{}
		copy(p[:], val)
		return p
	case parquet.Types.Float:
		return math.Float32frombits(binary.LittleEndian.Uint32(val))
	case parquet.Types.Double:
		return math.Float64frombits(binary.LittleEndian.Uint64(val))
	case parquet.Types.ByteArray:
		fallthrough
	case parquet.Types.FixedLenByteArray:
		return val
	}
	return nil
}

type Comparator[T parquet.ColumnTypes] interface {
	// return true if a is strictly less than b
	Compare(a, b T) bool
	GetMinMax(vals []T) (min, max T)
	GetMinMaxSpaced(vals []T, validBits []byte, validBitsOffset int64) (min, max T)
}

func NewComparator(descr *schema.Column) (any, error) {
	if descr.SortOrder() == schema.SortSIGNED {
		switch descr.PhysicalType() {
		case parquet.Types.Boolean:
			return &booleanComparator{}, nil
		case parquet.Types.Int32:
			return &intComparator[int32]{sortOrder: schema.SortSIGNED}, nil
		case parquet.Types.Int64:
			return &intComparator[int64]{sortOrder: schema.SortSIGNED}, nil
		case parquet.Types.Int96:
			return &int96Comparator{sortOrder: schema.SortSIGNED}, nil
		case parquet.Types.Float:
			return &floatComparator[float32]{}, nil
		case parquet.Types.Double:
			return &floatComparator[float64]{}, nil
		case parquet.Types.ByteArray:
			return &byteArrayComparator[parquet.ByteArray]{sortOrder: schema.SortSIGNED}, nil
		case parquet.Types.FixedLenByteArray:
			if descr.LogicalType().Equals(schema.Float16LogicalType{}) {
				return &float16Comparator{}, nil
			}
			return &byteArrayComparator[parquet.FixedLenByteArray]{sortOrder: schema.SortSIGNED}, nil
		default:
			return nil, fmt.Errorf("%w: signed compare not implemented for %s",
				arrow.ErrNotImplemented, descr.PhysicalType())
		}
	} else if descr.SortOrder() == schema.SortUNKNOWN {
		return nil, fmt.Errorf("%w: sort order is unknown", arrow.ErrNotImplemented)
	}

	switch descr.PhysicalType() {
	case parquet.Types.Int32:
		return &intComparator[int32]{sortOrder: schema.SortUNSIGNED}, nil
	case parquet.Types.Int64:
		return &intComparator[int64]{sortOrder: schema.SortUNSIGNED}, nil
	case parquet.Types.Int96:
		return &int96Comparator{sortOrder: schema.SortUNSIGNED}, nil
	case parquet.Types.ByteArray:
		return &byteArrayComparator[parquet.ByteArray]{sortOrder: schema.SortUNSIGNED}, nil
	case parquet.Types.FixedLenByteArray:
		return &byteArrayComparator[parquet.FixedLenByteArray]{sortOrder: schema.SortUNSIGNED}, nil
	default:
		return nil, fmt.Errorf("%w: unsigned compare not implemented for %s", arrow.ErrNotImplemented, descr.PhysicalType())
	}
}

func NewTypedComparator[T parquet.ColumnTypes](descr *schema.Column) (Comparator[T], error) {
	comp, err := NewComparator(descr)
	if err != nil {
		return nil, err
	}

	c, ok := comp.(Comparator[T])
	if !ok {
		return nil, fmt.Errorf("unexpected comparator type %T", comp)
	}
	return c, nil
}

type intComparator[T int32 | int64] struct {
	sortOrder    schema.SortOrder
	bitSetReader bitutils.SetBitRunReader
}

func (c *intComparator[T]) defaultMin() T {
	var z T
	switch any(z).(type) {
	case int32:
		if c.sortOrder == schema.SortUNSIGNED {
			val := uint32(math.MaxUint32)
			return T(val)
		}
		return math.MaxInt32
	case int64:
		if c.sortOrder == schema.SortUNSIGNED {
			val := uint64(math.MaxUint64)
			return T(val)
		}
		var v int64 = math.MaxInt64
		return T(v)
	}
	panic("unreachable")
}

func (c *intComparator[T]) defaultMax() T {
	if c.sortOrder == schema.SortUNSIGNED {
		return T(0)
	}

	var z T
	switch any(z).(type) {
	case int32:
		return math.MinInt32
	case int64:
		var v int64 = math.MinInt64
		return T(v)
	}
	panic("unreachable")
}

func (c *intComparator[T]) Compare(a, b T) bool {
	if c.sortOrder == schema.SortUNSIGNED {
		return uint64(a) < uint64(b)
	}
	return a < b
}

func (c *intComparator[T]) GetMinMax(vals []T) (min, max T) {
	if c.sortOrder == schema.SortSIGNED {
		switch v := any(vals).(type) {
		case []int32:
			minv, maxv := shared_utils.GetMinMaxInt32(v)
			return T(minv), T(maxv)
		case []int64:
			minv, maxv := shared_utils.GetMinMaxInt64(v)
			return T(minv), T(maxv)
		}
		panic("unreachable")
	}

	switch v := any(vals).(type) {
	case []int32:
		minv, maxv := shared_utils.GetMinMaxUint32(arrow.GetData[uint32](arrow.GetBytes(v)))
		return T(minv), T(maxv)
	case []int64:
		minv, maxv := shared_utils.GetMinMaxUint64(arrow.GetData[uint64](arrow.GetBytes(v)))
		return T(minv), T(maxv)
	}
	panic("unreachable")
}

func (c *intComparator[T]) GetMinMaxSpaced(vals []T, validBits []byte, validBitsOffset int64) (minv, maxv T) {
	minv, maxv = c.defaultMin(), c.defaultMax()
	var fn func([]T) (T, T)
	switch any(vals).(type) {
	case []int32:
		if c.sortOrder == schema.SortSIGNED {
			fn = func(t []T) (T, T) {
				minv, maxv := shared_utils.GetMinMaxInt32(any(t).([]int32))
				return T(minv), T(maxv)
			}
		} else {
			fn = func(t []T) (T, T) {
				minv, maxv := shared_utils.GetMinMaxUint32(arrow.GetData[uint32](arrow.GetBytes(any(t).([]int32))))
				return T(minv), T(maxv)
			}
		}
	case []int64:
		if c.sortOrder == schema.SortSIGNED {
			fn = func(t []T) (T, T) {
				minv, maxv := shared_utils.GetMinMaxInt64(any(t).([]int64))
				return T(minv), T(maxv)
			}
		} else {
			fn = func(t []T) (T, T) {
				minv, maxv := shared_utils.GetMinMaxUint64(arrow.GetData[uint64](arrow.GetBytes(any(t).([]int64))))
				return T(minv), T(maxv)
			}
		}
	}

	if c.bitSetReader == nil {
		c.bitSetReader = bitutils.NewSetBitRunReader(validBits, validBitsOffset, int64(len(vals)))
	} else {
		c.bitSetReader.Reset(validBits, validBitsOffset, int64(len(vals)))
	}

	for {
		run := c.bitSetReader.NextRun()
		if run.Length == 0 {
			break
		}

		localMin, localMax := fn(vals[int(run.Pos):int(run.Pos+run.Length)])
		minv, maxv = min(minv, localMin), max(maxv, localMax)
	}
	return
}

func basicMinMax[T any](vals []T, defMin, defMax T, coalesce, min, max func(T, T) T) (minv, maxv T) {
	minv, maxv = defMin, defMax

	for _, v := range vals {
		minv = min(minv, coalesce(v, defMin))
		maxv = max(maxv, coalesce(v, defMax))
	}
	return
}

func basicMinMaxSpaced[T any](vals []T, validBits []byte, validOffset int64, bitSetReader *bitutils.SetBitRunReader,
	defMin, defMax T, coalesce, min, max func(T, T) T) (minv, maxv T) {

	minv, maxv = defMin, defMax
	if *bitSetReader == nil {
		*bitSetReader = bitutils.NewSetBitRunReader(validBits, validOffset, int64(len(vals)))
	} else {
		(*bitSetReader).Reset(validBits, validOffset, int64(len(vals)))
	}

	for {
		run := (*bitSetReader).NextRun()
		if run.Length == 0 {
			break
		}

		for _, v := range vals[int(run.Pos):int(run.Pos+run.Length)] {
			minv = min(minv, coalesce(v, defMin))
			maxv = max(maxv, coalesce(v, defMax))
		}
	}
	return
}

type floatComparator[T float32 | float64] struct {
	bitSetReader bitutils.SetBitRunReader
}

func (floatComparator[T]) coalesce(val, fallback T) T {
	if math.IsNaN(float64(val)) {
		return fallback
	}
	return val
}

func (c *floatComparator[T]) defaultMin() T {
	var z T
	switch any(z).(type) {
	case float32:
		return math.MaxFloat32
	case float64:
		v := math.MaxFloat64
		return T(v)
	}
	panic("unreachable")
}

func (c *floatComparator[T]) defaultMax() T {
	return -c.defaultMin()
}

func (c *floatComparator[T]) Compare(a, b T) bool {
	return a < b
}

func (c *floatComparator[T]) GetMinMax(vals []T) (minv, maxv T) {
	return basicMinMax(vals, c.defaultMin(), c.defaultMax(), c.coalesce,
		func(a, b T) T { return min(a, b) }, func(a, b T) T { return max(a, b) })
}

func (c *floatComparator[T]) GetMinMaxSpaced(vals []T, validBits []byte, validBitsOffset int64) (minv, maxv T) {
	return basicMinMaxSpaced(vals, validBits, validBitsOffset, &c.bitSetReader, c.defaultMin(), c.defaultMax(), c.coalesce,
		func(a, b T) T { return min(a, b) }, func(a, b T) T { return max(a, b) })
}

func byteArrMinVal[T parquet.ByteArray | parquet.FixedLenByteArray](cmpFn func(T, T) bool) func(a, b T) T {
	return func(a, b T) T {
		switch {
		case a == nil:
			return b
		case b == nil:
			return a
		case cmpFn(a, b):
			return a
		default:
			return b
		}
	}
}

func byteArrMaxVal[T parquet.ByteArray | parquet.FixedLenByteArray](cmpFn func(T, T) bool) func(a, b T) T {
	return func(a, b T) T {
		switch {
		case a == nil:
			return b
		case b == nil:
			return a
		case cmpFn(a, b):
			return b
		default:
			return a
		}
	}
}

type float16Comparator struct {
	bitSetReader bitutils.SetBitRunReader
}

func (*float16Comparator) coalesce(v, fallback parquet.FixedLenByteArray) parquet.FixedLenByteArray {
	if float16.FromLEBytes(v).IsNaN() {
		return fallback
	}
	return v
}

func (*float16Comparator) Compare(a, b parquet.FixedLenByteArray) bool {
	return float16.FromLEBytes(a).Less(float16.FromLEBytes(b))
}

func (c *float16Comparator) GetMinMax(vals []parquet.FixedLenByteArray) (minv, maxv parquet.FixedLenByteArray) {
	return basicMinMax(vals, defaultMinFloat16, defaultMaxFloat16, c.coalesce, byteArrMinVal(c.Compare), byteArrMaxVal(c.Compare))
}

func (c *float16Comparator) GetMinMaxSpaced(vals []parquet.FixedLenByteArray, validBits []byte, validBitsOffset int64) (minv, maxv parquet.FixedLenByteArray) {
	return basicMinMaxSpaced(vals, validBits, validBitsOffset, &c.bitSetReader, defaultMinFloat16, defaultMaxFloat16, c.coalesce, byteArrMinVal(c.Compare), byteArrMaxVal(c.Compare))
}

type int96Comparator struct {
	sortOrder    schema.SortOrder
	bitSetReader bitutils.SetBitRunReader
}

func (c *int96Comparator) defaultMin() parquet.Int96 {
	if c.sortOrder == schema.SortUNSIGNED {
		return defaultMinUInt96
	}
	return defaultMinInt96
}

func (c *int96Comparator) defaultMax() parquet.Int96 {
	if c.sortOrder == schema.SortUNSIGNED {
		return defaultMaxUInt96
	}
	return defaultMaxInt96
}

func (c *int96Comparator) Compare(a, b parquet.Int96) bool {
	i96a := arrow.Uint32Traits.CastFromBytes(a[:])
	i96b := arrow.Uint32Traits.CastFromBytes(b[:])

	a0, a1, a2 := shared_utils.ToLEUint32(i96a[0]), shared_utils.ToLEUint32(i96a[1]), shared_utils.ToLEUint32(i96a[2])
	b0, b1, b2 := shared_utils.ToLEUint32(i96b[0]), shared_utils.ToLEUint32(i96b[1]), shared_utils.ToLEUint32(i96b[2])

	if a2 != b2 {
		// only the msb bit is by signed comparison
		if c.sortOrder == schema.SortSIGNED {
			return int32(a2) < int32(b2)
		}
		return a2 < b2
	} else if a1 != b1 {
		return a1 < b1
	}
	return a0 < b0
}

func (c *int96Comparator) GetMinMax(vals []parquet.Int96) (minv, maxv parquet.Int96) {
	return basicMinMax(vals, c.defaultMin(), c.defaultMax(), func(v, _ parquet.Int96) parquet.Int96 { return v },
		func(a, b parquet.Int96) parquet.Int96 {
			if c.Compare(a, b) {
				return a
			}
			return b
		}, func(a, b parquet.Int96) parquet.Int96 {
			if c.Compare(a, b) {
				return b
			}
			return a
		})
}

func (c *int96Comparator) GetMinMaxSpaced(vals []parquet.Int96, validBits []byte, validBitsOffset int64) (minv, maxv parquet.Int96) {
	return basicMinMaxSpaced(vals, validBits, validBitsOffset, &c.bitSetReader, c.defaultMin(), c.defaultMax(),
		func(v, _ parquet.Int96) parquet.Int96 { return v },
		func(a, b parquet.Int96) parquet.Int96 {
			if c.Compare(a, b) {
				return a
			}
			return b
		}, func(a, b parquet.Int96) parquet.Int96 {
			if c.Compare(a, b) {
				return b
			}
			return a
		})
}

type byteArrayComparator[T parquet.ByteArray | parquet.FixedLenByteArray] struct {
	sortOrder    schema.SortOrder
	bitSetReader bitutils.SetBitRunReader
}

func (c *byteArrayComparator[T]) Compare(a, b T) bool {
	if c.sortOrder == schema.SortUNSIGNED {
		return bytes.Compare(a, b) == -1
	}

	return signedByteLess(a, b)
}

func (c *byteArrayComparator[T]) GetMinMax(vals []T) (minv, maxv T) {
	return basicMinMax(vals, nil, nil, func(v, _ T) T { return v },
		byteArrMinVal(c.Compare), byteArrMaxVal(c.Compare))
}

func (c *byteArrayComparator[T]) GetMinMaxSpaced(vals []T, validBits []byte, validBitsOffset int64) (minv, maxv T) {
	return basicMinMaxSpaced(vals, validBits, validBitsOffset, &c.bitSetReader, nil, nil,
		func(v, _ T) T { return v }, byteArrMinVal(c.Compare), byteArrMaxVal(c.Compare))
}

type booleanComparator struct {
	bitSetReader bitutils.SetBitRunReader
}

func (*booleanComparator) Compare(a, b bool) bool {
	return !a && b
}

func (c *booleanComparator) GetMinMax(vals []bool) (minv, maxv bool) {
	return basicMinMax(vals, true, false, func(v, _ bool) bool { return v },
		func(a, b bool) bool {
			if c.Compare(a, b) {
				return a
			}
			return b
		}, func(a, b bool) bool {
			if c.Compare(a, b) {
				return b
			}
			return a
		})
}

func (c *booleanComparator) GetMinMaxSpaced(vals []bool, validBits []byte, validBitsOffset int64) (minv, maxv bool) {
	return basicMinMaxSpaced(vals, validBits, validBitsOffset, &c.bitSetReader, true, false, func(v, _ bool) bool { return v },
		func(a, b bool) bool {
			if c.Compare(a, b) {
				return a
			}
			return b
		}, func(a, b bool) bool {
			if c.Compare(a, b) {
				return b
			}
			return a
		})
}