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
|
//------------------------------------------------------------------------------
// <copyright file="XmlBinaryWriter.cs" company="Microsoft">
// Copyright (c) Microsoft Corporation. All rights reserved.
// </copyright>
// <owner current="true" primary="true">Microsoft</owner>
//------------------------------------------------------------------------------
using System;
using System.Collections;
using System.IO;
using System.Text;
using System.Diagnostics;
using System.Globalization;
namespace System.Xml {
// This is mostly just a copy of code in SqlTypes.SqlDecimal
internal struct BinXmlSqlDecimal {
internal byte m_bLen;
internal byte m_bPrec;
internal byte m_bScale;
internal byte m_bSign;
internal uint m_data1;
internal uint m_data2;
internal uint m_data3;
internal uint m_data4;
public bool IsPositive {
get {
return (m_bSign == 0);
}
}
private static readonly byte NUMERIC_MAX_PRECISION = 38; // Maximum precision of numeric
private static readonly byte MaxPrecision = NUMERIC_MAX_PRECISION; // max SS precision
private static readonly byte MaxScale = NUMERIC_MAX_PRECISION; // max SS scale
private static readonly int x_cNumeMax = 4;
private static readonly long x_lInt32Base = ((long)1) << 32; // 2**32
private static readonly ulong x_ulInt32Base = ((ulong)1) << 32; // 2**32
private static readonly ulong x_ulInt32BaseForMod = x_ulInt32Base - 1; // 2**32 - 1 (0xFFF...FF)
internal static readonly ulong x_llMax = Int64.MaxValue; // Max of Int64
//private static readonly uint x_ulBase10 = 10;
private static readonly double DUINT_BASE = (double)x_lInt32Base; // 2**32
private static readonly double DUINT_BASE2 = DUINT_BASE * DUINT_BASE; // 2**64
private static readonly double DUINT_BASE3 = DUINT_BASE2 * DUINT_BASE; // 2**96
//private static readonly double DMAX_NUME = 1.0e+38; // Max value of numeric
//private static readonly uint DBL_DIG = 17; // Max decimal digits of double
//private static readonly byte x_cNumeDivScaleMin = 6; // Minimum result scale of numeric division
// Array of multipliers for lAdjust and Ceiling/Floor.
private static readonly uint[] x_rgulShiftBase = new uint[9] {
10,
10 * 10,
10 * 10 * 10,
10 * 10 * 10 * 10,
10 * 10 * 10 * 10 * 10,
10 * 10 * 10 * 10 * 10 * 10,
10 * 10 * 10 * 10 * 10 * 10 * 10,
10 * 10 * 10 * 10 * 10 * 10 * 10 * 10,
10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10
};
public BinXmlSqlDecimal (byte[] data, int offset, bool trim) {
byte b = data[offset];
switch (b) {
case 7: m_bLen = 1; break;
case 11: m_bLen = 2; break;
case 15: m_bLen = 3; break;
case 19: m_bLen = 4; break;
default: throw new XmlException(Res.XmlBinary_InvalidSqlDecimal, (string[])null);
}
m_bPrec = data[offset+1];
m_bScale = data[offset+2];
m_bSign = 0 == data[offset+3] ? (byte)1 : (byte)0;
m_data1 = UIntFromByteArray(data, offset+4);
m_data2 = (m_bLen > 1) ? UIntFromByteArray(data, offset+8) : 0;
m_data3 = (m_bLen > 2) ? UIntFromByteArray(data, offset+12) : 0;
m_data4 = (m_bLen > 3) ? UIntFromByteArray(data, offset+16) : 0;
if (m_bLen == 4 && m_data4 == 0)
m_bLen = 3;
if (m_bLen == 3 && m_data3 == 0)
m_bLen = 2;
if (m_bLen == 2 && m_data2 == 0)
m_bLen = 1;
AssertValid();
if (trim) {
TrimTrailingZeros();
AssertValid();
}
}
public void Write(Stream strm) {
strm.WriteByte((byte)(this.m_bLen * 4 + 3));
strm.WriteByte(this.m_bPrec);
strm.WriteByte(this.m_bScale);
strm.WriteByte(0 == this.m_bSign ? (byte)1 : (byte)0);
WriteUI4(this.m_data1, strm);
if (this.m_bLen > 1) {
WriteUI4(this.m_data2, strm);
if (this.m_bLen > 2) {
WriteUI4(this.m_data3, strm);
if (this.m_bLen > 3) {
WriteUI4(this.m_data4, strm);
}
}
}
}
private void WriteUI4(uint val, Stream strm) {
strm.WriteByte((byte)(val & 0xFF));
strm.WriteByte((byte)((val >> 8) & 0xFF));
strm.WriteByte((byte)((val >> 16) & 0xFF));
strm.WriteByte((byte)((val >> 24) & 0xFF));
}
private static uint UIntFromByteArray(byte[] data, int offset) {
int val = (data[offset]) << 0;
val |= (data[offset+1]) << 8;
val |= (data[offset+2]) << 16;
val |= (data[offset+3]) << 24;
return unchecked((uint)val);
}
// check whether is zero
private bool FZero() {
return (m_data1 == 0) && (m_bLen <= 1);
}
// Store data back from rguiData[] to m_data*
private void StoreFromWorkingArray(uint[] rguiData) {
Debug.Assert(rguiData.Length == 4);
m_data1 = rguiData[0];
m_data2 = rguiData[1];
m_data3 = rguiData[2];
m_data4 = rguiData[3];
}
// Find the case where we overflowed 10**38, but not 2**128
private bool FGt10_38(uint[] rglData) {
//Debug.Assert(rglData.Length == 4, "rglData.Length == 4", "Wrong array length: " + rglData.Length.ToString(CultureInfo.InvariantCulture));
return rglData[3] >= 0x4b3b4ca8L && ((rglData[3] > 0x4b3b4ca8L) || (rglData[2] > 0x5a86c47aL) || (rglData[2] == 0x5a86c47aL) && (rglData[1] >= 0x098a2240L));
}
// Multi-precision one super-digit divide in place.
// U = U / D,
// R = U % D
// Length of U can decrease
private static void MpDiv1(uint[] rgulU, // InOut| U
ref int ciulU, // InOut| # of digits in U
uint iulD, // In | D
out uint iulR // Out | R
) {
Debug.Assert(rgulU.Length == x_cNumeMax);
uint ulCarry = 0;
ulong dwlAccum;
ulong ulD = (ulong)iulD;
int idU = ciulU;
Debug.Assert(iulD != 0, "iulD != 0", "Divided by zero!");
Debug.Assert(iulD > 0, "iulD > 0", "Invalid data: less than zero");
Debug.Assert(ciulU > 0, "ciulU > 0", "No data in the array");
while (idU > 0) {
idU--;
dwlAccum = (((ulong)ulCarry) << 32) + (ulong)(rgulU[idU]);
rgulU[idU] = (uint)(dwlAccum / ulD);
ulCarry = (uint)(dwlAccum - (ulong)rgulU[idU] * ulD); // (ULONG) (dwlAccum % iulD)
}
iulR = ulCarry;
MpNormalize(rgulU, ref ciulU);
}
// Normalize multi-precision number - remove leading zeroes
private static void MpNormalize(uint[] rgulU, // In | Number
ref int ciulU // InOut| # of digits
) {
while (ciulU > 1 && rgulU[ciulU - 1] == 0)
ciulU--;
}
// AdjustScale()
//
// Adjust number of digits to the right of the decimal point.
// A positive adjustment increases the scale of the numeric value
// while a negative adjustment decreases the scale. When decreasing
// the scale for the numeric value, the remainder is checked and
// rounded accordingly.
//
internal void AdjustScale(int digits, bool fRound) {
uint ulRem; //Remainder when downshifting
uint ulShiftBase; //What to multiply by to effect scale adjust
bool fNeedRound = false; //Do we really need to round?
byte bNewScale, bNewPrec;
int lAdjust = digits;
//If downshifting causes truncation of data
if (lAdjust + m_bScale < 0)
throw new XmlException(Res.SqlTypes_ArithTruncation, (string)null);
//If uphifting causes scale overflow
if (lAdjust + m_bScale > NUMERIC_MAX_PRECISION)
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
bNewScale = (byte)(lAdjust + m_bScale);
bNewPrec = (byte)(Math.Min(NUMERIC_MAX_PRECISION, Math.Max(1, lAdjust + m_bPrec)));
if (lAdjust > 0) {
m_bScale = bNewScale;
m_bPrec = bNewPrec;
while (lAdjust > 0) {
//if lAdjust>=9, downshift by 10^9 each time, otherwise by the full amount
if (lAdjust >= 9) {
ulShiftBase = x_rgulShiftBase[8];
lAdjust -= 9;
}
else {
ulShiftBase = x_rgulShiftBase[lAdjust - 1];
lAdjust = 0;
}
MultByULong(ulShiftBase);
}
}
else if (lAdjust < 0) {
do {
if (lAdjust <= -9) {
ulShiftBase = x_rgulShiftBase[8];
lAdjust += 9;
}
else {
ulShiftBase = x_rgulShiftBase[-lAdjust - 1];
lAdjust = 0;
}
ulRem = DivByULong(ulShiftBase);
} while (lAdjust < 0);
// Do we really need to round?
fNeedRound = (ulRem >= ulShiftBase / 2);
m_bScale = bNewScale;
m_bPrec = bNewPrec;
}
AssertValid();
// After adjusting, if the result is 0 and remainder is less than 5,
// set the sign to be positive and return.
if (fNeedRound && fRound) {
// If remainder is 5 or above, increment/decrement by 1.
AddULong(1);
}
else if (FZero())
this.m_bSign = 0;
}
// AddULong()
//
// Add ulAdd to this numeric. The result will be returned in *this.
//
// Parameters:
// this - IN Operand1 & OUT Result
// ulAdd - IN operand2.
//
private void AddULong(uint ulAdd) {
ulong dwlAccum = (ulong)ulAdd;
int iData; // which UI4 in this we are on
int iDataMax = (int)m_bLen; // # of UI4s in this
uint[] rguiData = new uint[4] { m_data1, m_data2, m_data3, m_data4 };
// Add, starting at the LS UI4 until out of UI4s or no carry
iData = 0;
do {
dwlAccum += (ulong)rguiData[iData];
rguiData[iData] = (uint)dwlAccum; // equivalent to mod x_dwlBaseUI4
dwlAccum >>= 32; // equivalent to dwlAccum /= x_dwlBaseUI4;
if (0 == dwlAccum) {
StoreFromWorkingArray(rguiData);
return;
}
iData++;
} while (iData < iDataMax);
// There is carry at the end
Debug.Assert(dwlAccum < x_ulInt32Base, "dwlAccum < x_lInt32Base", "");
// Either overflowed
if (iData == x_cNumeMax)
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
// Or need to extend length by 1 UI4
rguiData[iData] = (uint)dwlAccum;
m_bLen++;
if (FGt10_38(rguiData))
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
StoreFromWorkingArray(rguiData);
}
// multiply by a long integer
private void MultByULong(uint uiMultiplier) {
int iDataMax = m_bLen; // How many UI4s currently in *this
ulong dwlAccum = 0; // accumulated sum
ulong dwlNextAccum = 0; // accumulation past dwlAccum
int iData; // which UI4 in *This we are on.
uint[] rguiData = new uint[4] { m_data1, m_data2, m_data3, m_data4 };
for (iData = 0; iData < iDataMax; iData++) {
Debug.Assert(dwlAccum < x_ulInt32Base);
ulong ulTemp = (ulong)rguiData[iData];
dwlNextAccum = ulTemp * (ulong)uiMultiplier;
dwlAccum += dwlNextAccum;
if (dwlAccum < dwlNextAccum) // Overflow of int64 add
dwlNextAccum = x_ulInt32Base; // how much to add to dwlAccum after div x_dwlBaseUI4
else
dwlNextAccum = 0;
rguiData[iData] = (uint)dwlAccum; // equivalent to mod x_dwlBaseUI4
dwlAccum = (dwlAccum >> 32) + dwlNextAccum; // equivalent to div x_dwlBaseUI4
}
// If any carry,
if (dwlAccum != 0) {
// Either overflowed
Debug.Assert(dwlAccum < x_ulInt32Base, "dwlAccum < x_dwlBaseUI4", "Integer overflow");
if (iDataMax == x_cNumeMax)
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
// Or extend length by one uint
rguiData[iDataMax] = (uint)dwlAccum;
m_bLen++;
}
if (FGt10_38(rguiData))
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
StoreFromWorkingArray(rguiData);
}
// DivByULong()
//
// Divide numeric value by a ULONG. The result will be returned
// in the dividend *this.
//
// Parameters:
// this - IN Dividend & OUT Result
// ulDivisor - IN Divisor
// Returns: - OUT Remainder
//
internal uint DivByULong(uint iDivisor) {
ulong dwlDivisor = (ulong)iDivisor;
ulong dwlAccum = 0; //Accumulated sum
uint ulQuotientCur = 0; // Value of the current UI4 of the quotient
bool fAllZero = true; // All of the quotient (so far) has been 0
int iData; //Which UI4 currently on
// Check for zero divisor.
if (dwlDivisor == 0)
throw new XmlException(Res.SqlTypes_DivideByZero, (string)null);
// Copy into array, so that we can iterate through the data
uint[] rguiData = new uint[4] { m_data1, m_data2, m_data3, m_data4 };
// Start from the MS UI4 of quotient, divide by divisor, placing result
// in quotient and carrying the remainder.
//DEVNOTE DWORDLONG sufficient accumulator since:
// Accum < Divisor <= 2^32 - 1 at start each loop
// initially,and mod end previous loop
// Accum*2^32 < 2^64 - 2^32
// multiply both side by 2^32 (x_dwlBaseUI4)
// Accum*2^32 + m_rgulData < 2^64
// rglData < 2^32
for (iData = m_bLen; iData > 0; iData--) {
Debug.Assert(dwlAccum < dwlDivisor);
dwlAccum = (dwlAccum << 32) + (ulong)(rguiData[iData - 1]); // dwlA*x_dwlBaseUI4 + rglData
Debug.Assert((dwlAccum / dwlDivisor) < x_ulInt32Base);
//Update dividend to the quotient.
ulQuotientCur = (uint)(dwlAccum / dwlDivisor);
rguiData[iData - 1] = ulQuotientCur;
//Remainder to be carried to the next lower significant byte.
dwlAccum = dwlAccum % dwlDivisor;
// While current part of quotient still 0, reduce length
fAllZero = fAllZero && (ulQuotientCur == 0);
if (fAllZero)
m_bLen--;
}
StoreFromWorkingArray(rguiData);
// If result is 0, preserve sign but set length to 5
if (fAllZero)
m_bLen = 1;
AssertValid();
// return the remainder
Debug.Assert(dwlAccum < x_ulInt32Base);
return (uint)dwlAccum;
}
//Determine the number of uints needed for a numeric given a precision
//Precision Length
// 0 invalid
// 1-9 1
// 10-19 2
// 20-28 3
// 29-38 4
// The array in Shiloh. Listed here for comparison.
//private static readonly byte[] rgCLenFromPrec = new byte[] {5,5,5,5,5,5,5,5,5,9,9,9,9,9,
// 9,9,9,9,9,13,13,13,13,13,13,13,13,13,17,17,17,17,17,17,17,17,17,17};
private static readonly byte[] rgCLenFromPrec = new byte[] {
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4
};
private static byte CLenFromPrec(byte bPrec) {
Debug.Assert(bPrec <= MaxPrecision && bPrec > 0, "bPrec <= MaxPrecision && bPrec > 0", "Invalid numeric precision");
return rgCLenFromPrec[bPrec - 1];
}
private static char ChFromDigit(uint uiDigit) {
Debug.Assert(uiDigit < 10);
return (char)(uiDigit + '0');
}
public Decimal ToDecimal() {
if ((int)m_data4 != 0 || m_bScale > 28)
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
return new Decimal((int)m_data1, (int)m_data2, (int)m_data3, !IsPositive, m_bScale);
}
void TrimTrailingZeros() {
uint[] rgulNumeric = new uint[4] { m_data1, m_data2, m_data3, m_data4};
int culLen = m_bLen;
uint ulRem; //Remainder of a division by x_ulBase10, i.e.,least significant digit
// special-case 0
if (culLen == 1 && rgulNumeric[0] == 0) {
m_bScale = 0;
return;
}
while (m_bScale > 0 && (culLen > 1 || rgulNumeric[0] != 0)) {
MpDiv1 (rgulNumeric, ref culLen, 10, out ulRem);
if ( ulRem == 0 ) {
m_data1 = rgulNumeric[0];
m_data2 = rgulNumeric[1];
m_data3 = rgulNumeric[2];
m_data4 = rgulNumeric[3];
m_bScale--;
}
else {
break;
}
}
if (m_bLen == 4 && m_data4 == 0)
m_bLen = 3;
if (m_bLen == 3 && m_data3 == 0)
m_bLen = 2;
if (m_bLen == 2 && m_data2 == 0)
m_bLen = 1;
}
public override String ToString() {
AssertValid();
// Make local copy of data to avoid modifying input.
uint[] rgulNumeric = new uint[4] { m_data1, m_data2, m_data3, m_data4};
int culLen = m_bLen;
char[] pszTmp = new char[NUMERIC_MAX_PRECISION + 1]; //Local Character buffer to hold
//the decimal digits, from the
//lowest significant to highest significant
int iDigits = 0;//Number of significant digits
uint ulRem; //Remainder of a division by x_ulBase10, i.e.,least significant digit
// Build the final numeric string by inserting the sign, reversing
// the order and inserting the decimal number at the correct position
//Retrieve each digit from the lowest significant digit
while (culLen > 1 || rgulNumeric[0] != 0) {
MpDiv1 (rgulNumeric, ref culLen, 10, out ulRem);
//modulo x_ulBase10 is the lowest significant digit
pszTmp[iDigits++] = ChFromDigit(ulRem);
}
// if scale of the number has not been
// reached pad remaining number with zeros.
while (iDigits <= m_bScale) {
pszTmp[iDigits++] = ChFromDigit(0);
}
bool fPositive = IsPositive;
// Increment the result length if negative (need to add '-')
int uiResultLen = fPositive ? iDigits : iDigits + 1;
// Increment the result length if scale > 0 (need to add '.')
if (m_bScale > 0)
uiResultLen++;
char[] szResult = new char[uiResultLen];
int iCurChar = 0;
if (!fPositive)
szResult[iCurChar ++] = '-';
while (iDigits > 0) {
if (iDigits-- == m_bScale)
szResult[iCurChar ++] = '.';
szResult[iCurChar ++] = pszTmp[iDigits];
}
AssertValid();
return new String(szResult);
}
// Is this RE numeric valid?
[System.Diagnostics.Conditional("DEBUG")]
private void AssertValid() {
// Scale,Prec in range
Debug.Assert(m_bScale <= NUMERIC_MAX_PRECISION, "m_bScale <= NUMERIC_MAX_PRECISION", "In AssertValid");
Debug.Assert(m_bScale <= m_bPrec, "m_bScale <= m_bPrec", "In AssertValid");
Debug.Assert(m_bScale >= 0, "m_bScale >= 0", "In AssertValid");
Debug.Assert(m_bPrec > 0, "m_bPrec > 0", "In AssertValid");
Debug.Assert(CLenFromPrec(m_bPrec) >= m_bLen, "CLenFromPrec(m_bPrec) >= m_bLen", "In AssertValid");
Debug.Assert(m_bLen <= x_cNumeMax, "m_bLen <= x_cNumeMax", "In AssertValid");
uint[] rglData = new uint[4] { m_data1, m_data2, m_data3, m_data4 };
// highest UI4 is non-0 unless value "zero"
if (rglData[m_bLen - 1] == 0) {
Debug.Assert(m_bLen == 1, "m_bLen == 1", "In AssertValid");
}
// All UI4s from length to end are 0
for (int iulData = m_bLen; iulData < x_cNumeMax; iulData++)
Debug.Assert(rglData[iulData] == 0, "rglData[iulData] == 0", "In AssertValid");
}
}
internal struct BinXmlSqlMoney {
long data;
public BinXmlSqlMoney(int v) { this.data = v; }
public BinXmlSqlMoney(long v) { this.data = v; }
public Decimal ToDecimal() {
bool neg;
ulong v;
if (this.data < 0) {
neg = true;
v = (ulong)unchecked(-this.data);
}
else {
neg = false;
v = (ulong)this.data;
}
// SQL Server stores money8 as ticks of 1/10000.
const byte MoneyScale = 4;
return new Decimal(unchecked((int)v), unchecked((int)(v >> 32)), 0, neg, MoneyScale);
}
public override String ToString() {
Decimal money = ToDecimal();
// Formatting of SqlMoney: At least two digits after decimal point
return money.ToString("#0.00##", CultureInfo.InvariantCulture);
}
}
internal abstract class BinXmlDateTime {
const int MaxFractionDigits = 7;
static internal int[] KatmaiTimeScaleMultiplicator = new int[8] {
10000000,
1000000,
100000,
10000,
1000,
100,
10,
1,
};
static void Write2Dig( StringBuilder sb, int val ) {
Debug.Assert(val >= 0 && val < 100);
sb.Append((char)('0' + (val/10)));
sb.Append((char)('0' + (val%10)));
}
static void Write4DigNeg(StringBuilder sb, int val) {
Debug.Assert(val > -10000 && val < 10000);
if (val < 0) {
val = -val;
sb.Append('-');
}
Write2Dig(sb, val/100);
Write2Dig(sb, val%100);
}
static void Write3Dec(StringBuilder sb, int val) {
Debug.Assert(val >= 0 && val < 1000);
int c3 = val % 10;
val /= 10;
int c2 = val % 10;
val /= 10;
int c1 = val;
sb.Append('.');
sb.Append((char)('0'+c1));
sb.Append((char)('0'+c2));
sb.Append((char)('0'+c3));
}
static void WriteDate(StringBuilder sb, int yr, int mnth, int day) {
Write4DigNeg(sb, yr);
sb.Append('-');
Write2Dig(sb, mnth);
sb.Append('-');
Write2Dig(sb, day);
}
static void WriteTime(StringBuilder sb, int hr, int min, int sec, int ms) {
Write2Dig(sb, hr);
sb.Append(':');
Write2Dig(sb, min);
sb.Append(':');
Write2Dig(sb, sec);
if (ms != 0) {
Write3Dec(sb, ms);
}
}
static void WriteTimeFullPrecision(StringBuilder sb, int hr, int min, int sec, int fraction) {
Write2Dig(sb, hr);
sb.Append(':');
Write2Dig(sb, min);
sb.Append(':');
Write2Dig(sb, sec);
if (fraction != 0) {
int fractionDigits = MaxFractionDigits;
while (fraction % 10 == 0) {
fractionDigits --;
fraction /= 10;
}
char[] charArray = new char[fractionDigits];
while(fractionDigits > 0) {
fractionDigits--;
charArray[fractionDigits] = (char)(fraction % 10 + '0');
fraction /= 10;
}
sb.Append('.');
sb.Append(charArray);
}
}
static void WriteTimeZone(StringBuilder sb, TimeSpan zone) {
bool negTimeZone = true;
if (zone.Ticks < 0) {
negTimeZone = false;
zone = zone.Negate();
}
WriteTimeZone(sb, negTimeZone, zone.Hours, zone.Minutes);
}
static void WriteTimeZone(StringBuilder sb, bool negTimeZone, int hr, int min) {
if (hr == 0 && min == 0) {
sb.Append('Z');
}
else {
sb.Append(negTimeZone ? '+' : '-');
Write2Dig(sb, hr);
sb.Append(':');
Write2Dig(sb, min);
}
}
static void BreakDownXsdDateTime(long val, out int yr, out int mnth, out int day, out int hr, out int min, out int sec, out int ms) {
if (val < 0)
goto Error;
long date = val / 4; // trim indicator bits
ms = (int)(date % 1000);
date /= 1000;
sec = (int)(date % 60);
date /= 60;
min = (int)(date % 60);
date /= 60;
hr = (int)(date % 24);
date /= 24;
day = (int)(date % 31) + 1;
date /= 31;
mnth = (int)(date % 12) + 1;
date /= 12;
yr = (int)(date - 9999);
if (yr < -9999 || yr > 9999)
goto Error;
return;
Error:
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
}
static void BreakDownXsdDate(long val, out int yr, out int mnth, out int day, out bool negTimeZone, out int hr, out int min) {
if (val < 0)
goto Error;
val = val / 4; // trim indicator bits
int totalMin = (int)(val % (29*60)) - 60*14;
long totalDays = val / (29*60);
if (negTimeZone = (totalMin < 0))
totalMin = -totalMin;
min = totalMin % 60;
hr = totalMin / 60;
day = (int)(totalDays % 31) + 1;
totalDays /= 31;
mnth = (int)(totalDays % 12) + 1;
yr = (int)(totalDays / 12) - 9999;
if (yr < -9999 || yr > 9999)
goto Error;
return;
Error:
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
}
static void BreakDownXsdTime(long val, out int hr, out int min, out int sec, out int ms) {
if (val < 0)
goto Error;
val = val / 4; // trim indicator bits
ms = (int)(val % 1000);
val /= 1000;
sec = (int)(val % 60);
val /= 60;
min = (int)(val % 60);
hr = (int)(val / 60);
if (0 > hr || hr > 23)
goto Error;
return;
Error:
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
}
public static string XsdDateTimeToString(long val) {
int yr; int mnth; int day; int hr; int min; int sec; int ms;
BreakDownXsdDateTime(val, out yr, out mnth, out day, out hr, out min, out sec, out ms);
StringBuilder sb = new StringBuilder(20);
WriteDate(sb, yr, mnth, day);
sb.Append('T');
WriteTime(sb, hr, min, sec, ms);
sb.Append('Z');
return sb.ToString();
}
public static DateTime XsdDateTimeToDateTime(long val) {
int yr; int mnth; int day; int hr; int min; int sec; int ms;
BreakDownXsdDateTime(val, out yr, out mnth, out day, out hr, out min, out sec, out ms);
return new DateTime(yr, mnth, day, hr, min, sec, ms, DateTimeKind.Utc);
}
public static string XsdDateToString(long val) {
int yr; int mnth; int day; int hr; int min; bool negTimeZ;
BreakDownXsdDate(val, out yr, out mnth, out day, out negTimeZ, out hr, out min);
StringBuilder sb = new StringBuilder(20);
WriteDate(sb, yr, mnth, day);
WriteTimeZone(sb, negTimeZ, hr, min);
return sb.ToString();
}
public static DateTime XsdDateToDateTime(long val) {
int yr; int mnth; int day; int hr; int min; bool negTimeZ;
BreakDownXsdDate(val, out yr, out mnth, out day, out negTimeZ, out hr, out min);
DateTime d = new DateTime(yr, mnth, day, 0, 0, 0, DateTimeKind.Utc);
// adjust for timezone
int adj = (negTimeZ ? -1 : 1) * ( (hr * 60) + min );
return TimeZone.CurrentTimeZone.ToLocalTime( d.AddMinutes(adj) );
}
public static string XsdTimeToString(long val) {
int hr; int min; int sec; int ms;
BreakDownXsdTime(val, out hr, out min, out sec, out ms);
StringBuilder sb = new StringBuilder(16);
WriteTime(sb, hr, min, sec, ms);
sb.Append('Z');
return sb.ToString();
}
public static DateTime XsdTimeToDateTime(long val) {
int hr; int min; int sec; int ms;
BreakDownXsdTime(val, out hr, out min, out sec, out ms);
return new DateTime(1, 1, 1, hr, min, sec, ms, DateTimeKind.Utc);
}
public static string SqlDateTimeToString(int dateticks, uint timeticks) {
DateTime dateTime = SqlDateTimeToDateTime(dateticks, timeticks);
string format = (dateTime.Millisecond != 0) ? "yyyy/MM/dd\\THH:mm:ss.ffff" : "yyyy/MM/dd\\THH:mm:ss";
return dateTime.ToString(format, CultureInfo.InvariantCulture);
}
public static DateTime SqlDateTimeToDateTime(int dateticks, uint timeticks) {
DateTime SQLBaseDate = new DateTime(1900, 1, 1);
//long millisecond = (long)(((ulong)timeticks * 20 + (ulong)3) / (ulong)6);
long millisecond = (long)(timeticks / SQLTicksPerMillisecond + 0.5);
return SQLBaseDate.Add( new TimeSpan( dateticks * TimeSpan.TicksPerDay +
millisecond * TimeSpan.TicksPerMillisecond ) );
}
// Number of (100ns) ticks per time unit
private static readonly double SQLTicksPerMillisecond = 0.3;
public static readonly int SQLTicksPerSecond = 300;
public static readonly int SQLTicksPerMinute = SQLTicksPerSecond * 60;
public static readonly int SQLTicksPerHour = SQLTicksPerMinute * 60;
private static readonly int SQLTicksPerDay = SQLTicksPerHour * 24;
public static string SqlSmallDateTimeToString(short dateticks, ushort timeticks) {
DateTime dateTime = SqlSmallDateTimeToDateTime(dateticks, timeticks);
return dateTime.ToString("yyyy/MM/dd\\THH:mm:ss", CultureInfo.InvariantCulture);
}
public static DateTime SqlSmallDateTimeToDateTime(short dateticks, ushort timeticks) {
return SqlDateTimeToDateTime( (int)dateticks, (uint)(timeticks * SQLTicksPerMinute) );
}
// Conversions of the Katmai date & time types to DateTime
public static DateTime XsdKatmaiDateToDateTime(byte[] data, int offset) {
// Katmai SQL type "DATE"
long dateTicks = GetKatmaiDateTicks(data, ref offset);
DateTime dt = new DateTime(dateTicks);
return dt;
}
public static DateTime XsdKatmaiDateTimeToDateTime(byte[] data, int offset) {
// Katmai SQL type "DATETIME2"
long timeTicks = GetKatmaiTimeTicks(data, ref offset);
long dateTicks = GetKatmaiDateTicks(data, ref offset);
DateTime dt = new DateTime(dateTicks + timeTicks);
return dt;
}
public static DateTime XsdKatmaiTimeToDateTime(byte[] data, int offset) {
// TIME without zone is stored as DATETIME2
return XsdKatmaiDateTimeToDateTime(data, offset);
}
public static DateTime XsdKatmaiDateOffsetToDateTime( byte[] data, int offset ) {
// read the timezoned value into DateTimeOffset and then convert to local time
return XsdKatmaiDateOffsetToDateTimeOffset(data, offset).LocalDateTime;
}
public static DateTime XsdKatmaiDateTimeOffsetToDateTime(byte[] data, int offset) {
// read the timezoned value into DateTimeOffset and then convert to local time
return XsdKatmaiDateTimeOffsetToDateTimeOffset(data, offset).LocalDateTime;
}
public static DateTime XsdKatmaiTimeOffsetToDateTime(byte[] data, int offset) {
// read the timezoned value into DateTimeOffset and then convert to local time
return XsdKatmaiTimeOffsetToDateTimeOffset(data, offset).LocalDateTime;
}
// Conversions of the Katmai date & time types to DateTimeOffset
public static DateTimeOffset XsdKatmaiDateToDateTimeOffset( byte[] data, int offset ) {
// read the value into DateTime and then convert it to DateTimeOffset, which adds local time zone
return (DateTimeOffset)XsdKatmaiDateToDateTime(data, offset);
}
public static DateTimeOffset XsdKatmaiDateTimeToDateTimeOffset(byte[] data, int offset) {
// read the value into DateTime and then convert it to DateTimeOffset, which adds local time zone
return (DateTimeOffset)XsdKatmaiDateTimeToDateTime(data, offset);
}
public static DateTimeOffset XsdKatmaiTimeToDateTimeOffset(byte[] data, int offset) {
// read the value into DateTime and then convert it to DateTimeOffset, which adds local time zone
return (DateTimeOffset)XsdKatmaiTimeToDateTime(data, offset);
}
public static DateTimeOffset XsdKatmaiDateOffsetToDateTimeOffset(byte[] data, int offset) {
// DATE with zone is stored as DATETIMEOFFSET
return XsdKatmaiDateTimeOffsetToDateTimeOffset(data, offset);
}
public static DateTimeOffset XsdKatmaiDateTimeOffsetToDateTimeOffset(byte[] data, int offset) {
// Katmai SQL type "DATETIMEOFFSET"
long timeTicks = GetKatmaiTimeTicks(data, ref offset);
long dateTicks = GetKatmaiDateTicks(data, ref offset);
long zoneTicks = GetKatmaiTimeZoneTicks(data, offset);
// The DATETIMEOFFSET values are serialized in UTC, but DateTimeOffset takes adjusted time -> we need to add zoneTicks
DateTimeOffset dto = new DateTimeOffset(dateTicks + timeTicks + zoneTicks, new TimeSpan(zoneTicks));
return dto;
}
public static DateTimeOffset XsdKatmaiTimeOffsetToDateTimeOffset(byte[] data, int offset) {
// TIME with zone is stored as DATETIMEOFFSET
return XsdKatmaiDateTimeOffsetToDateTimeOffset(data, offset);
}
// Conversions of the Katmai date & time types to string
public static string XsdKatmaiDateToString(byte[] data, int offset) {
DateTime dt = XsdKatmaiDateToDateTime(data, offset);
StringBuilder sb = new StringBuilder(10);
WriteDate(sb, dt.Year, dt.Month, dt.Day);
return sb.ToString();
}
public static string XsdKatmaiDateTimeToString(byte[] data, int offset) {
DateTime dt = XsdKatmaiDateTimeToDateTime(data, offset);
StringBuilder sb = new StringBuilder(33);
WriteDate(sb, dt.Year, dt.Month, dt.Day);
sb.Append('T');
WriteTimeFullPrecision(sb, dt.Hour, dt.Minute, dt.Second, GetFractions(dt));
return sb.ToString();
}
public static string XsdKatmaiTimeToString(byte[] data, int offset) {
DateTime dt = XsdKatmaiTimeToDateTime(data, offset);
StringBuilder sb = new StringBuilder(16);
WriteTimeFullPrecision(sb, dt.Hour, dt.Minute, dt.Second, GetFractions(dt));
return sb.ToString();
}
public static string XsdKatmaiDateOffsetToString(byte[] data, int offset) {
DateTimeOffset dto = XsdKatmaiDateOffsetToDateTimeOffset(data, offset);
StringBuilder sb = new StringBuilder(16);
WriteDate(sb, dto.Year, dto.Month, dto.Day);
WriteTimeZone(sb, dto.Offset);
return sb.ToString();
}
public static string XsdKatmaiDateTimeOffsetToString(byte[] data, int offset) {
DateTimeOffset dto = XsdKatmaiDateTimeOffsetToDateTimeOffset(data, offset);
StringBuilder sb = new StringBuilder(39);
WriteDate(sb, dto.Year, dto.Month, dto.Day);
sb.Append('T');
WriteTimeFullPrecision(sb, dto.Hour, dto.Minute, dto.Second, GetFractions(dto));
WriteTimeZone(sb, dto.Offset);
return sb.ToString();
}
public static string XsdKatmaiTimeOffsetToString(byte[] data, int offset) {
DateTimeOffset dto = XsdKatmaiTimeOffsetToDateTimeOffset(data, offset);
StringBuilder sb = new StringBuilder(22);
WriteTimeFullPrecision(sb, dto.Hour, dto.Minute, dto.Second, GetFractions(dto));
WriteTimeZone(sb, dto.Offset);
return sb.ToString();
}
// Helper methods for the Katmai date & time types
static long GetKatmaiDateTicks(byte[] data, ref int pos) {
int p = pos;
pos = p + 3;
return (data[p] | data[p + 1] << 8 | data[p + 2] << 16) * TimeSpan.TicksPerDay;
}
static long GetKatmaiTimeTicks(byte[] data, ref int pos) {
int p = pos;
byte scale = data[p];
long timeTicks;
p++;
if (scale <= 2) {
timeTicks = data[p] | (data[p + 1] << 8) | (data[p + 2] << 16);
pos = p + 3;
}
else if (scale <= 4) {
timeTicks = data[p] | (data[p + 1] << 8) | (data[p + 2] << 16);
timeTicks |= ((long)data[p + 3] << 24);
pos = p + 4;
}
else if (scale <= 7) {
timeTicks = data[p] | (data[p + 1] << 8) | (data[p + 2] << 16);
timeTicks |= ((long)data[p + 3] << 24) | ((long)data[p + 4] << 32);
pos = p + 5;
}
else {
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
}
return timeTicks * KatmaiTimeScaleMultiplicator[scale];
}
static long GetKatmaiTimeZoneTicks(byte[] data, int pos) {
return (short)(data[pos] | data[pos + 1] << 8) * TimeSpan.TicksPerMinute;
}
static int GetFractions(DateTime dt) {
return (int)(dt.Ticks - new DateTime(dt.Year, dt.Month, dt.Day, dt.Hour, dt.Minute, dt.Second).Ticks);
}
static int GetFractions(DateTimeOffset dt) {
return (int)(dt.Ticks - new DateTime(dt.Year, dt.Month, dt.Day, dt.Hour, dt.Minute, dt.Second).Ticks);
}
/*
const long SqlDateTicks2Ticks = (long)10000 * 1000 * 60 * 60 * 24;
const long SqlBaseDate = 693595;
public static void DateTime2SqlDateTime(DateTime datetime, out int dateticks, out uint timeticks) {
dateticks = (int)(datetime.Ticks / SqlDateTicks2Ticks) - 693595;
double time = (double)(datetime.Ticks % SqlDateTicks2Ticks);
time = time / 10000; // adjust to ms
time = time * 0.3 + .5; // adjust to sqlticks (and round correctly)
timeticks = (uint)time;
}
public static void DateTime2SqlSmallDateTime(DateTime datetime, out short dateticks, out ushort timeticks) {
dateticks = (short)((int)(datetime.Ticks / SqlDateTicks2Ticks) - 693595);
int time = (int)(datetime.Ticks % SqlDateTicks2Ticks);
timeticks = (ushort)(time / (10000 * 1000 * 60)); // adjust to min
}
public static long DateTime2XsdTime(DateTime datetime) {
// adjust to ms
return (datetime.TimeOfDay.Ticks / 10000) * 4 + 0;
}
public static long DateTime2XsdDateTime(DateTime datetime) {
long t = datetime.TimeOfDay.Ticks / 10000;
t += (datetime.Day-1) * (long)1000*60*60*24;
t += (datetime.Month-1) * (long)1000*60*60*24*31;
int year = datetime.Year;
if (year < -9999 || year > 9999)
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
t += (datetime.Year+9999) * (long)1000*60*60*24*31*12;
return t*4 + 2;
}
public static long DateTime2XsdDate(DateTime datetime) {
// compute local offset
long tzOffset = -TimeZone.CurrentTimeZone.GetUtcOffset(datetime).Ticks / TimeSpan.TicksPerMinute;
tzOffset += 14*60;
// adjust datetime to UTC
datetime = TimeZone.CurrentTimeZone.ToUniversalTime(datetime);
Debug.Assert( tzOffset >= 0 );
int year = datetime.Year;
if (year < -9999 || year > 9999)
throw new XmlException(Res.SqlTypes_ArithOverflow, (string)null);
long t = (datetime.Day - 1)
+ 31*(datetime.Month - 1)
+ 31*12*((long)(year+9999));
t *= (29*60); // adjust in timezone
t += tzOffset;
return t*4+1;
}
* */
}
}
|