summaryrefslogtreecommitdiff
path: root/source4/heimdal/doc/standardisation/rfc4506.txt
blob: 9bd6a8905e431342c2ca732927151fb3370ab157 (plain)
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
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515






Network Working Group                                     M. Eisler, Ed.
Request for Comments: 4506                       Network Appliance, Inc.
STD: 67                                                         May 2006
Obsoletes: 1832
Category: Standards Track


               XDR: External Data Representation Standard

Status of This Memo

   This document specifies an Internet standards track protocol for the
   Internet community, and requests discussion and suggestions for
   improvements.  Please refer to the current edition of the "Internet
   Official Protocol Standards" (STD 1) for the standardization state
   and status of this protocol.  Distribution of this memo is unlimited.

Copyright Notice

   Copyright (C) The Internet Society (2006).

Abstract

   This document describes the External Data Representation Standard
   (XDR) protocol as it is currently deployed and accepted.  This
   document obsoletes RFC 1832.

























Eisler                      Standards Track                     [Page 1]

RFC 4506       XDR: External Data Representation Standard       May 2006


Table of Contents

   1. Introduction ....................................................3
   2. Changes from RFC 1832 ...........................................3
   3. Basic Block Size ................................................3
   4. XDR Data Types ..................................................4
      4.1. Integer ....................................................4
      4.2. Unsigned Integer ...........................................4
      4.3. Enumeration ................................................5
      4.4. Boolean ....................................................5
      4.5. Hyper Integer and Unsigned Hyper Integer ...................5
      4.6. Floating-Point .............................................6
      4.7. Double-Precision Floating-Point ............................7
      4.8. Quadruple-Precision Floating-Point .........................8
      4.9. Fixed-Length Opaque Data ...................................9
      4.10. Variable-Length Opaque Data ...............................9
      4.11. String ...................................................10
      4.12. Fixed-Length Array .......................................11
      4.13. Variable-Length Array ....................................11
      4.14. Structure ................................................12
      4.15. Discriminated Union ......................................12
      4.16. Void .....................................................13
      4.17. Constant .................................................13
      4.18. Typedef ..................................................13
      4.19. Optional-Data ............................................14
      4.20. Areas for Future Enhancement .............................16
   5. Discussion .....................................................16
   6. The XDR Language Specification .................................17
      6.1. Notational Conventions ....................................17
      6.2. Lexical Notes .............................................18
      6.3. Syntax Information ........................................18
      6.4. Syntax Notes ..............................................20
   7. An Example of an XDR Data Description ..........................21
   8. Security Considerations ........................................22
   9. IANA Considerations ............................................23
   10. Trademarks and Owners .........................................23
   11. ANSI/IEEE Standard 754-1985 ...................................24
   12. Normative References ..........................................25
   13. Informative References ........................................25
   14. Acknowledgements ..............................................26











Eisler                      Standards Track                     [Page 2]

RFC 4506       XDR: External Data Representation Standard       May 2006


1.  Introduction

   XDR is a standard for the description and encoding of data.  It is
   useful for transferring data between different computer
   architectures, and it has been used to communicate data between such
   diverse machines as the SUN WORKSTATION*, VAX*, IBM-PC*, and Cray*.
   XDR fits into the ISO presentation layer and is roughly analogous in
   purpose to X.409, ISO Abstract Syntax Notation.  The major difference
   between these two is that XDR uses implicit typing, while X.409 uses
   explicit typing.

   XDR uses a language to describe data formats.  The language can be
   used only to describe data; it is not a programming language.  This
   language allows one to describe intricate data formats in a concise
   manner.  The alternative of using graphical representations (itself
   an informal language) quickly becomes incomprehensible when faced
   with complexity.  The XDR language itself is similar to the C
   language [KERN], just as Courier [COUR] is similar to Mesa.
   Protocols such as ONC RPC (Remote Procedure Call) and the NFS*
   (Network File System) use XDR to describe the format of their data.

   The XDR standard makes the following assumption: that bytes (or
   octets) are portable, where a byte is defined as 8 bits of data.  A
   given hardware device should encode the bytes onto the various media
   in such a way that other hardware devices may decode the bytes
   without loss of meaning.  For example, the Ethernet* standard
   suggests that bytes be encoded in "little-endian" style [COHE], or
   least significant bit first.

2.  Changes from RFC 1832

   This document makes no technical changes to RFC 1832 and is published
   for the purposes of noting IANA considerations, augmenting security
   considerations, and distinguishing normative from informative
   references.

3.  Basic Block Size

   The representation of all items requires a multiple of four bytes (or
   32 bits) of data.  The bytes are numbered 0 through n-1.  The bytes
   are read or written to some byte stream such that byte m always
   precedes byte m+1.  If the n bytes needed to contain the data are not
   a multiple of four, then the n bytes are followed by enough (0 to 3)
   residual zero bytes, r, to make the total byte count a multiple of 4.

   We include the familiar graphic box notation for illustration and
   comparison.  In most illustrations, each box (delimited by a plus
   sign at the 4 corners and vertical bars and dashes) depicts a byte.



Eisler                      Standards Track                     [Page 3]

RFC 4506       XDR: External Data Representation Standard       May 2006


   Ellipses (...) between boxes show zero or more additional bytes where
   required.

        +--------+--------+...+--------+--------+...+--------+
        | byte 0 | byte 1 |...|byte n-1|    0   |...|    0   |   BLOCK
        +--------+--------+...+--------+--------+...+--------+
        |<-----------n bytes---------->|<------r bytes------>|
        |<-----------n+r (where (n+r) mod 4 = 0)>----------->|

4.   XDR Data Types

   Each of the sections that follow describes a data type defined in the
   XDR standard, shows how it is declared in the language, and includes
   a graphic illustration of its encoding.

   For each data type in the language we show a general paradigm
   declaration.  Note that angle brackets (< and >) denote variable-
   length sequences of data and that square brackets ([ and ]) denote
   fixed-length sequences of data.  "n", "m", and "r" denote integers.
   For the full language specification and more formal definitions of
   terms such as "identifier" and "declaration", refer to Section 6,
   "The XDR Language Specification".

   For some data types, more specific examples are included.  A more
   extensive example of a data description is in Section 7, "An Example
   of an XDR Data Description".

4.1.  Integer

   An XDR signed integer is a 32-bit datum that encodes an integer in
   the range [-2147483648,2147483647].  The integer is represented in
   two's complement notation.  The most and least significant bytes are
   0 and 3, respectively.  Integers are declared as follows:

         int identifier;

           (MSB)                   (LSB)
         +-------+-------+-------+-------+
         |byte 0 |byte 1 |byte 2 |byte 3 |                      INTEGER
         +-------+-------+-------+-------+
         <------------32 bits------------>

4.2.  Unsigned Integer

   An XDR unsigned integer is a 32-bit datum that encodes a non-negative
   integer in the range [0,4294967295].  It is represented by an
   unsigned binary number whose most and least significant bytes are 0
   and 3, respectively.  An unsigned integer is declared as follows:



Eisler                      Standards Track                     [Page 4]

RFC 4506       XDR: External Data Representation Standard       May 2006


         unsigned int identifier;

           (MSB)                   (LSB)
            +-------+-------+-------+-------+
            |byte 0 |byte 1 |byte 2 |byte 3 |           UNSIGNED INTEGER
            +-------+-------+-------+-------+
            <------------32 bits------------>

4.3.  Enumeration

   Enumerations have the same representation as signed integers.
   Enumerations are handy for describing subsets of the integers.
   Enumerated data is declared as follows:

         enum { name-identifier = constant, ... } identifier;

   For example, the three colors red, yellow, and blue could be
   described by an enumerated type:

         enum { RED = 2, YELLOW = 3, BLUE = 5 } colors;

   It is an error to encode as an enum any integer other than those that
   have been given assignments in the enum declaration.

4.4.  Boolean

   Booleans are important enough and occur frequently enough to warrant
   their own explicit type in the standard.  Booleans are declared as
   follows:

         bool identifier;

   This is equivalent to:

         enum { FALSE = 0, TRUE = 1 } identifier;

4.5.  Hyper Integer and Unsigned Hyper Integer

   The standard also defines 64-bit (8-byte) numbers called hyper
   integers and unsigned hyper integers.  Their representations are the
   obvious extensions of integer and unsigned integer defined above.
   They are represented in two's complement notation.  The most and
   least significant bytes are 0 and 7, respectively.  Their
   declarations:

   hyper identifier; unsigned hyper identifier;





Eisler                      Standards Track                     [Page 5]

RFC 4506       XDR: External Data Representation Standard       May 2006


        (MSB)                                                   (LSB)
      +-------+-------+-------+-------+-------+-------+-------+-------+
      |byte 0 |byte 1 |byte 2 |byte 3 |byte 4 |byte 5 |byte 6 |byte 7 |
      +-------+-------+-------+-------+-------+-------+-------+-------+
      <----------------------------64 bits---------------------------->
                                                 HYPER INTEGER
                                                 UNSIGNED HYPER INTEGER

4.6.  Floating-Point

   The standard defines the floating-point data type "float" (32 bits or
   4 bytes).  The encoding used is the IEEE standard for normalized
   single-precision floating-point numbers [IEEE].  The following three
   fields describe the single-precision floating-point number:

      S: The sign of the number.  Values 0 and 1 represent positive and
         negative, respectively.  One bit.

      E: The exponent of the number, base 2.  8 bits are devoted to this
         field.  The exponent is biased by 127.

      F: The fractional part of the number's mantissa, base 2.  23 bits
         are devoted to this field.

   Therefore, the floating-point number is described by:

         (-1)**S * 2**(E-Bias) * 1.F

   It is declared as follows:

         float identifier;

         +-------+-------+-------+-------+
         |byte 0 |byte 1 |byte 2 |byte 3 |              SINGLE-PRECISION
         S|   E   |           F          |         FLOATING-POINT NUMBER
         +-------+-------+-------+-------+
         1|<- 8 ->|<-------23 bits------>|
         <------------32 bits------------>

   Just as the most and least significant bytes of a number are 0 and 3,
   the most and least significant bits of a single-precision floating-
   point number are 0 and 31.  The beginning bit (and most significant
   bit) offsets of S, E, and F are 0, 1, and 9, respectively.  Note that
   these numbers refer to the mathematical positions of the bits, and
   NOT to their actual physical locations (which vary from medium to
   medium).





Eisler                      Standards Track                     [Page 6]

RFC 4506       XDR: External Data Representation Standard       May 2006


   The IEEE specifications should be consulted concerning the encoding
   for signed zero, signed infinity (overflow), and denormalized numbers
   (underflow) [IEEE].  According to IEEE specifications, the "NaN" (not
   a number) is system dependent and should not be interpreted within
   XDR as anything other than "NaN".

4.7.  Double-Precision Floating-Point

   The standard defines the encoding for the double-precision floating-
   point data type "double" (64 bits or 8 bytes).  The encoding used is
   the IEEE standard for normalized double-precision floating-point
   numbers [IEEE].  The standard encodes the following three fields,
   which describe the double-precision floating-point number:

      S: The sign of the number.  Values 0 and 1 represent positive and
            negative, respectively.  One bit.

      E: The exponent of the number, base 2.  11 bits are devoted to
            this field.  The exponent is biased by 1023.

      F: The fractional part of the number's mantissa, base 2.  52 bits
            are devoted to this field.

   Therefore, the floating-point number is described by:

         (-1)**S * 2**(E-Bias) * 1.F

   It is declared as follows:

         double identifier;

         +------+------+------+------+------+------+------+------+
         |byte 0|byte 1|byte 2|byte 3|byte 4|byte 5|byte 6|byte 7|
         S|    E   |                    F                        |
         +------+------+------+------+------+------+------+------+
         1|<--11-->|<-----------------52 bits------------------->|
         <-----------------------64 bits------------------------->
                                        DOUBLE-PRECISION FLOATING-POINT

   Just as the most and least significant bytes of a number are 0 and 3,
   the most and least significant bits of a double-precision floating-
   point number are 0 and 63.  The beginning bit (and most significant
   bit) offsets of S, E, and F are 0, 1, and 12, respectively.  Note
   that these numbers refer to the mathematical positions of the bits,
   and NOT to their actual physical locations (which vary from medium to
   medium).





Eisler                      Standards Track                     [Page 7]

RFC 4506       XDR: External Data Representation Standard       May 2006


   The IEEE specifications should be consulted concerning the encoding
   for signed zero, signed infinity (overflow), and denormalized numbers
   (underflow) [IEEE].  According to IEEE specifications, the "NaN" (not
   a number) is system dependent and should not be interpreted within
   XDR as anything other than "NaN".

4.8.  Quadruple-Precision Floating-Point

   The standard defines the encoding for the quadruple-precision
   floating-point data type "quadruple" (128 bits or 16 bytes).  The
   encoding used is designed to be a simple analog of the encoding used
   for single- and double-precision floating-point numbers using one
   form of IEEE double extended precision.  The standard encodes the
   following three fields, which describe the quadruple-precision
   floating-point number:

      S: The sign of the number.  Values 0 and 1 represent positive and
         negative, respectively.  One bit.

      E: The exponent of the number, base 2.  15 bits are devoted to
         this field.  The exponent is biased by 16383.

      F: The fractional part of the number's mantissa, base 2.  112 bits
         are devoted to this field.

   Therefore, the floating-point number is described by:

         (-1)**S * 2**(E-Bias) * 1.F

   It is declared as follows:

         quadruple identifier;

         +------+------+------+------+------+------+-...--+------+
         |byte 0|byte 1|byte 2|byte 3|byte 4|byte 5| ...  |byte15|
         S|    E       |                  F                      |
         +------+------+------+------+------+------+-...--+------+
         1|<----15---->|<-------------112 bits------------------>|
         <-----------------------128 bits------------------------>
                                      QUADRUPLE-PRECISION FLOATING-POINT

   Just as the most and least significant bytes of a number are 0 and 3,
   the most and least significant bits of a quadruple-precision
   floating-point number are 0 and 127.  The beginning bit (and most
   significant bit) offsets of S, E , and F are 0, 1, and 16,
   respectively.  Note that these numbers refer to the mathematical
   positions of the bits, and NOT to their actual physical locations
   (which vary from medium to medium).



Eisler                      Standards Track                     [Page 8]

RFC 4506       XDR: External Data Representation Standard       May 2006


   The encoding for signed zero, signed infinity (overflow), and
   denormalized numbers are analogs of the corresponding encodings for
   single and double-precision floating-point numbers [SPAR], [HPRE].
   The "NaN" encoding as it applies to quadruple-precision floating-
   point numbers is system dependent and should not be interpreted
   within XDR as anything other than "NaN".

4.9.  Fixed-Length Opaque Data

   At times, fixed-length uninterpreted data needs to be passed among
   machines.  This data is called "opaque" and is declared as follows:

         opaque identifier[n];

   where the constant n is the (static) number of bytes necessary to
   contain the opaque data.  If n is not a multiple of four, then the n
   bytes are followed by enough (0 to 3) residual zero bytes, r, to make
   the total byte count of the opaque object a multiple of four.

          0        1     ...
      +--------+--------+...+--------+--------+...+--------+
      | byte 0 | byte 1 |...|byte n-1|    0   |...|    0   |
      +--------+--------+...+--------+--------+...+--------+
      |<-----------n bytes---------->|<------r bytes------>|
      |<-----------n+r (where (n+r) mod 4 = 0)------------>|
                                                   FIXED-LENGTH OPAQUE

4.10.  Variable-Length Opaque Data

   The standard also provides for variable-length (counted) opaque data,
   defined as a sequence of n (numbered 0 through n-1) arbitrary bytes
   to be the number n encoded as an unsigned integer (as described
   below), and followed by the n bytes of the sequence.

   Byte m of the sequence always precedes byte m+1 of the sequence, and
   byte 0 of the sequence always follows the sequence's length (count).
   If n is not a multiple of four, then the n bytes are followed by
   enough (0 to 3) residual zero bytes, r, to make the total byte count
   a multiple of four.  Variable-length opaque data is declared in the
   following way:

         opaque identifier<m>;
      or
         opaque identifier<>;

   The constant m denotes an upper bound of the number of bytes that the
   sequence may contain.  If m is not specified, as in the second
   declaration, it is assumed to be (2**32) - 1, the maximum length.



Eisler                      Standards Track                     [Page 9]

RFC 4506       XDR: External Data Representation Standard       May 2006


   The constant m would normally be found in a protocol specification.
   For example, a filing protocol may state that the maximum data
   transfer size is 8192 bytes, as follows:

         opaque filedata<8192>;

            0     1     2     3     4     5   ...
         +-----+-----+-----+-----+-----+-----+...+-----+-----+...+-----+
         |        length n       |byte0|byte1|...| n-1 |  0  |...|  0  |
         +-----+-----+-----+-----+-----+-----+...+-----+-----+...+-----+
         |<-------4 bytes------->|<------n bytes------>|<---r bytes--->|
                                 |<----n+r (where (n+r) mod 4 = 0)---->|
                                                  VARIABLE-LENGTH OPAQUE

   It is an error to encode a length greater than the maximum described
   in the specification.

4.11.  String

   The standard defines a string of n (numbered 0 through n-1) ASCII
   bytes to be the number n encoded as an unsigned integer (as described
   above), and followed by the n bytes of the string.  Byte m of the
   string always precedes byte m+1 of the string, and byte 0 of the
   string always follows the string's length.  If n is not a multiple of
   four, then the n bytes are followed by enough (0 to 3) residual zero
   bytes, r, to make the total byte count a multiple of four.  Counted
   byte strings are declared as follows:

         string object<m>;
      or
         string object<>;

   The constant m denotes an upper bound of the number of bytes that a
   string may contain.  If m is not specified, as in the second
   declaration, it is assumed to be (2**32) - 1, the maximum length.
   The constant m would normally be found in a protocol specification.
   For example, a filing protocol may state that a file name can be no
   longer than 255 bytes, as follows:

         string filename<255>;

            0     1     2     3     4     5   ...
         +-----+-----+-----+-----+-----+-----+...+-----+-----+...+-----+
         |        length n       |byte0|byte1|...| n-1 |  0  |...|  0  |
         +-----+-----+-----+-----+-----+-----+...+-----+-----+...+-----+
         |<-------4 bytes------->|<------n bytes------>|<---r bytes--->|
                                 |<----n+r (where (n+r) mod 4 = 0)---->|
                                                                  STRING



Eisler                      Standards Track                    [Page 10]

RFC 4506       XDR: External Data Representation Standard       May 2006


   It is an error to encode a length greater than the maximum described
   in the specification.

4.12.  Fixed-Length Array

   Declarations for fixed-length arrays of homogeneous elements are in
   the following form:

         type-name identifier[n];

   Fixed-length arrays of elements numbered 0 through n-1 are encoded by
   individually encoding the elements of the array in their natural
   order, 0 through n-1.  Each element's size is a multiple of four
   bytes.  Though all elements are of the same type, the elements may
   have different sizes.  For example, in a fixed-length array of
   strings, all elements are of type "string", yet each element will
   vary in its length.

         +---+---+---+---+---+---+---+---+...+---+---+---+---+
         |   element 0   |   element 1   |...|  element n-1  |
         +---+---+---+---+---+---+---+---+...+---+---+---+---+
         |<--------------------n elements------------------->|

                                               FIXED-LENGTH ARRAY

4.13.  Variable-Length Array

   Counted arrays provide the ability to encode variable-length arrays
   of homogeneous elements.  The array is encoded as the element count n
   (an unsigned integer) followed by the encoding of each of the array's
   elements, starting with element 0 and progressing through element
   n-1.  The declaration for variable-length arrays follows this form:

         type-name identifier<m>;
      or
         type-name identifier<>;

   The constant m specifies the maximum acceptable element count of an
   array; if m is not specified, as in the second declaration, it is
   assumed to be (2**32) - 1.

           0  1  2  3
         +--+--+--+--+--+--+--+--+--+--+--+--+...+--+--+--+--+
         |     n     | element 0 | element 1 |...|element n-1|
         +--+--+--+--+--+--+--+--+--+--+--+--+...+--+--+--+--+
         |<-4 bytes->|<--------------n elements------------->|
                                                         COUNTED ARRAY




Eisler                      Standards Track                    [Page 11]

RFC 4506       XDR: External Data Representation Standard       May 2006


   It is an error to encode a value of n that is greater than the
   maximum described in the specification.

4.14.  Structure

   Structures are declared as follows:

         struct {
            component-declaration-A;
            component-declaration-B;
            ...
         } identifier;

   The components of the structure are encoded in the order of their
   declaration in the structure.  Each component's size is a multiple of
   four bytes, though the components may be different sizes.

         +-------------+-------------+...
         | component A | component B |...                      STRUCTURE
         +-------------+-------------+...

4.15.  Discriminated Union

   A discriminated union is a type composed of a discriminant followed
   by a type selected from a set of prearranged types according to the
   value of the discriminant.  The type of discriminant is either "int",
   "unsigned int", or an enumerated type, such as "bool".  The component
   types are called "arms" of the union and are preceded by the value of
   the discriminant that implies their encoding.  Discriminated unions
   are declared as follows:

         union switch (discriminant-declaration) {
         case discriminant-value-A:
            arm-declaration-A;
         case discriminant-value-B:
            arm-declaration-B;
         ...
         default: default-declaration;
         } identifier;

   Each "case" keyword is followed by a legal value of the discriminant.
   The default arm is optional.  If it is not specified, then a valid
   encoding of the union cannot take on unspecified discriminant values.
   The size of the implied arm is always a multiple of four bytes.

   The discriminated union is encoded as its discriminant followed by
   the encoding of the implied arm.




Eisler                      Standards Track                    [Page 12]

RFC 4506       XDR: External Data Representation Standard       May 2006


           0   1   2   3
         +---+---+---+---+---+---+---+---+
         |  discriminant |  implied arm  |          DISCRIMINATED UNION
         +---+---+---+---+---+---+---+---+
         |<---4 bytes--->|

4.16.  Void

   An XDR void is a 0-byte quantity.  Voids are useful for describing
   operations that take no data as input or no data as output.  They are
   also useful in unions, where some arms may contain data and others do
   not.  The declaration is simply as follows:

         void;

   Voids are illustrated as follows:

           ++
           ||                                                     VOID
           ++
         --><-- 0 bytes

4.17.  Constant

   The data declaration for a constant follows this form:

         const name-identifier = n;

   "const" is used to define a symbolic name for a constant; it does not
   declare any data.  The symbolic constant may be used anywhere a
   regular constant may be used.  For example, the following defines a
   symbolic constant DOZEN, equal to 12.

         const DOZEN = 12;

4.18.  Typedef

   "typedef" does not declare any data either, but serves to define new
   identifiers for declaring data.  The syntax is:

         typedef declaration;

   The new type name is actually the variable name in the declaration
   part of the typedef.  For example, the following defines a new type
   called "eggbox" using an existing type called "egg":

         typedef egg eggbox[DOZEN];




Eisler                      Standards Track                    [Page 13]

RFC 4506       XDR: External Data Representation Standard       May 2006


   Variables declared using the new type name have the same type as the
   new type name would have in the typedef, if it were considered a
   variable.  For example, the following two declarations are equivalent
   in declaring the variable "fresheggs":

         eggbox  fresheggs; egg     fresheggs[DOZEN];

   When a typedef involves a struct, enum, or union definition, there is
   another (preferred) syntax that may be used to define the same type.
   In general, a typedef of the following form:

         typedef <<struct, union, or enum definition>> identifier;

   may be converted to the alternative form by removing the "typedef"
   part and placing the identifier after the "struct", "union", or
   "enum" keyword, instead of at the end.  For example, here are the two
   ways to define the type "bool":

         typedef enum {    /* using typedef */
            FALSE = 0,
            TRUE = 1
         } bool;

         enum bool {       /* preferred alternative */
            FALSE = 0,
            TRUE = 1
         };

   This syntax is preferred because one does not have to wait until the
   end of a declaration to figure out the name of the new type.

4.19.  Optional-Data

   Optional-data is one kind of union that occurs so frequently that we
   give it a special syntax of its own for declaring it.  It is declared
   as follows:

         type-name *identifier;

   This is equivalent to the following union:

         union switch (bool opted) {
         case TRUE:
            type-name element;
         case FALSE:
            void;
         } identifier;




Eisler                      Standards Track                    [Page 14]

RFC 4506       XDR: External Data Representation Standard       May 2006


   It is also equivalent to the following variable-length array
   declaration, since the boolean "opted" can be interpreted as the
   length of the array:

         type-name identifier<1>;

   Optional-data is not so interesting in itself, but it is very useful
   for describing recursive data-structures such as linked-lists and
   trees.  For example, the following defines a type "stringlist" that
   encodes lists of zero or more arbitrary length strings:

        struct stringentry {
           string item<>;
           stringentry *next;
        };

        typedef stringentry *stringlist;

   It could have been equivalently declared as the following union:

         union stringlist switch (bool opted) {
         case TRUE:
            struct {
               string item<>;
               stringlist next;
            } element;
         case FALSE:
            void;
         };

   or as a variable-length array:

        struct stringentry {
           string item<>;
           stringentry next<1>;
        };

        typedef stringentry stringlist<1>;

   Both of these declarations obscure the intention of the stringlist
   type, so the optional-data declaration is preferred over both of
   them.  The optional-data type also has a close correlation to how
   recursive data structures are represented in high-level languages
   such as Pascal or C by use of pointers.  In fact, the syntax is the
   same as that of the C language for pointers.






Eisler                      Standards Track                    [Page 15]

RFC 4506       XDR: External Data Representation Standard       May 2006


4.20.  Areas for Future Enhancement

   The XDR standard lacks representations for bit fields and bitmaps,
   since the standard is based on bytes.  Also missing are packed (or
   binary-coded) decimals.

   The intent of the XDR standard was not to describe every kind of data
   that people have ever sent or will ever want to send from machine to
   machine.  Rather, it only describes the most commonly used data-types
   of high-level languages such as Pascal or C so that applications
   written in these languages will be able to communicate easily over
   some medium.

   One could imagine extensions to XDR that would let it describe almost
   any existing protocol, such as TCP.  The minimum necessary for this
   is support for different block sizes and byte-orders.  The XDR
   discussed here could then be considered the 4-byte big-endian member
   of a larger XDR family.

5.  Discussion

   (1) Why use a language for describing data?  What's wrong with
       diagrams?

   There are many advantages in using a data-description language such
   as XDR versus using diagrams.  Languages are more formal than
   diagrams and lead to less ambiguous descriptions of data.  Languages
   are also easier to understand and allow one to think of other issues
   instead of the low-level details of bit encoding.  Also, there is a
   close analogy between the types of XDR and a high-level language such
   as C or Pascal.  This makes the implementation of XDR encoding and
   decoding modules an easier task.  Finally, the language specification
   itself is an ASCII string that can be passed from machine to machine
   to perform on-the-fly data interpretation.

   (2) Why is there only one byte-order for an XDR unit?

   Supporting two byte-orderings requires a higher-level protocol for
   determining in which byte-order the data is encoded.  Since XDR is
   not a protocol, this can't be done.  The advantage of this, though,
   is that data in XDR format can be written to a magnetic tape, for
   example, and any machine will be able to interpret it, since no
   higher-level protocol is necessary for determining the byte-order.

   (3) Why is the XDR byte-order big-endian instead of little-endian?
       Isn't this unfair to little-endian machines such as the VAX(r),
       which has to convert from one form to the other?




Eisler                      Standards Track                    [Page 16]

RFC 4506       XDR: External Data Representation Standard       May 2006


   Yes, it is unfair, but having only one byte-order means you have to
   be unfair to somebody.  Many architectures, such as the Motorola
   68000* and IBM 370*, support the big-endian byte-order.

   (4) Why is the XDR unit four bytes wide?

   There is a tradeoff in choosing the XDR unit size.  Choosing a small
   size, such as two, makes the encoded data small, but causes alignment
   problems for machines that aren't aligned on these boundaries.  A
   large size, such as eight, means the data will be aligned on
   virtually every machine, but causes the encoded data to grow too big.
   We chose four as a compromise.  Four is big enough to support most
   architectures efficiently, except for rare machines such as the
   eight-byte-aligned Cray*.  Four is also small enough to keep the
   encoded data restricted to a reasonable size.

   (5) Why must variable-length data be padded with zeros?

   It is desirable that the same data encode into the same thing on all
   machines, so that encoded data can be meaningfully compared or
   checksummed.  Forcing the padded bytes to be zero ensures this.

   (6) Why is there no explicit data-typing?

   Data-typing has a relatively high cost for what small advantages it
   may have.  One cost is the expansion of data due to the inserted type
   fields.  Another is the added cost of interpreting these type fields
   and acting accordingly.  And most protocols already know what type
   they expect, so data-typing supplies only redundant information.
   However, one can still get the benefits of data-typing using XDR.
   One way is to encode two things: first, a string that is the XDR data
   description of the encoded data, and then the encoded data itself.
   Another way is to assign a value to all the types in XDR, and then
   define a universal type that takes this value as its discriminant and
   for each value, describes the corresponding data type.

6.  The XDR Language Specification

6.1.  Notational Conventions

   This specification uses an extended Back-Naur Form notation for
   describing the XDR language.  Here is a brief description of the
   notation:

   (1) The characters '|', '(', ')', '[', ']', '"', and '*' are special.
   (2) Terminal symbols are strings of any characters surrounded by
   double quotes.  (3) Non-terminal symbols are strings of non-special
   characters.  (4) Alternative items are separated by a vertical bar



Eisler                      Standards Track                    [Page 17]

RFC 4506       XDR: External Data Representation Standard       May 2006


   ("|").  (5) Optional items are enclosed in brackets.  (6) Items are
   grouped together by enclosing them in parentheses.  (7) A '*'
   following an item means 0 or more occurrences of that item.

   For example, consider the following pattern:

         "a " "very" (", " "very")* [" cold " "and "]  " rainy "
         ("day" | "night")

   An infinite number of strings match this pattern.  A few of them are:

         "a very rainy day"
         "a very, very rainy day"
         "a very cold and  rainy day"
         "a very, very, very cold and  rainy night"

6.2.  Lexical Notes

   (1) Comments begin with '/*' and terminate with '*/'.  (2) White
   space serves to separate items and is otherwise ignored.  (3) An
   identifier is a letter followed by an optional sequence of letters,
   digits, or underbar ('_').  The case of identifiers is not ignored.
   (4) A decimal constant expresses a number in base 10 and is a
   sequence of one or more decimal digits, where the first digit is not
   a zero, and is optionally preceded by a minus-sign ('-').  (5) A
   hexadecimal constant expresses a number in base 16, and must be
   preceded by '0x', followed by one or hexadecimal digits ('A', 'B',
   'C', 'D', E', 'F', 'a', 'b', 'c', 'd', 'e', 'f', '0', '1', '2', '3',
   '4', '5', '6', '7', '8', '9').  (6) An octal constant expresses a
   number in base 8, always leads with digit 0, and is a sequence of one
   or more octal digits ('0', '1', '2', '3', '4', '5', '6', '7').

6.3.  Syntax Information

      declaration:
           type-specifier identifier
         | type-specifier identifier "[" value "]"
         | type-specifier identifier "<" [ value ] ">"
         | "opaque" identifier "[" value "]"
         | "opaque" identifier "<" [ value ] ">"
         | "string" identifier "<" [ value ] ">"
         | type-specifier "*" identifier
         | "void"

      value:
           constant
         | identifier




Eisler                      Standards Track                    [Page 18]

RFC 4506       XDR: External Data Representation Standard       May 2006


      constant:
         decimal-constant | hexadecimal-constant | octal-constant

      type-specifier:
           [ "unsigned" ] "int"
         | [ "unsigned" ] "hyper"
         | "float"
         | "double"
         | "quadruple"
         | "bool"
         | enum-type-spec
         | struct-type-spec
         | union-type-spec
         | identifier

      enum-type-spec:
         "enum" enum-body

      enum-body:
         "{"
            ( identifier "=" value )
            ( "," identifier "=" value )*
         "}"

      struct-type-spec:
         "struct" struct-body

      struct-body:
         "{"
            ( declaration ";" )
            ( declaration ";" )*
         "}"

      union-type-spec:
         "union" union-body

      union-body:
         "switch" "(" declaration ")" "{"
            case-spec
            case-spec *
            [ "default" ":" declaration ";" ]
         "}"

      case-spec:
        ( "case" value ":")
        ( "case" value ":") *
        declaration ";"




Eisler                      Standards Track                    [Page 19]

RFC 4506       XDR: External Data Representation Standard       May 2006


      constant-def:
         "const" identifier "=" constant ";"

      type-def:
           "typedef" declaration ";"
         | "enum" identifier enum-body ";"
         | "struct" identifier struct-body ";"
         | "union" identifier union-body ";"

      definition:
           type-def
         | constant-def

      specification:
           definition *

6.4.  Syntax Notes

   (1) The following are keywords and cannot be used as identifiers:
   "bool", "case", "const", "default", "double", "quadruple", "enum",
   "float", "hyper", "int", "opaque", "string", "struct", "switch",
   "typedef", "union", "unsigned", and "void".

   (2) Only unsigned constants may be used as size specifications for
   arrays.  If an identifier is used, it must have been declared
   previously as an unsigned constant in a "const" definition.

   (3) Constant and type identifiers within the scope of a specification
   are in the same name space and must be declared uniquely within this
   scope.

   (4) Similarly, variable names must be unique within the scope of
   struct and union declarations.  Nested struct and union declarations
   create new scopes.

   (5) The discriminant of a union must be of a type that evaluates to
   an integer.  That is, "int", "unsigned int", "bool", an enumerated
   type, or any typedefed type that evaluates to one of these is legal.
   Also, the case values must be one of the legal values of the
   discriminant.  Finally, a case value may not be specified more than
   once within the scope of a union declaration.










Eisler                      Standards Track                    [Page 20]

RFC 4506       XDR: External Data Representation Standard       May 2006


7.  An Example of an XDR Data Description

   Here is a short XDR data description of a thing called a "file",
   which might be used to transfer files from one machine to another.

         const MAXUSERNAME = 32;     /* max length of a user name */
         const MAXFILELEN = 65535;   /* max length of a file      */
         const MAXNAMELEN = 255;     /* max length of a file name */

         /*
          * Types of files:
          */
         enum filekind {
            TEXT = 0,       /* ascii data */
            DATA = 1,       /* raw data   */
            EXEC = 2        /* executable */
         };

         /*
          * File information, per kind of file:
          */
         union filetype switch (filekind kind) {
         case TEXT:
            void;                           /* no extra information */
         case DATA:
            string creator<MAXNAMELEN>;     /* data creator         */
         case EXEC:
            string interpretor<MAXNAMELEN>; /* program interpretor  */
         };

         /*
          * A complete file:
          */
         struct file {
            string filename<MAXNAMELEN>; /* name of file    */
            filetype type;               /* info about file */
            string owner<MAXUSERNAME>;   /* owner of file   */
            opaque data<MAXFILELEN>;     /* file data       */
         };

   Suppose now that there is a user named "john" who wants to store his
   lisp program "sillyprog" that contains just the data "(quit)".  His
   file would be encoded as follows:








Eisler                      Standards Track                    [Page 21]

RFC 4506       XDR: External Data Representation Standard       May 2006


       OFFSET  HEX BYTES       ASCII    COMMENTS
       ------  ---------       -----    --------
        0      00 00 00 09     ....     -- length of filename = 9
        4      73 69 6c 6c     sill     -- filename characters
        8      79 70 72 6f     ypro     -- ... and more characters ...
       12      67 00 00 00     g...     -- ... and 3 zero-bytes of fill
       16      00 00 00 02     ....     -- filekind is EXEC = 2
       20      00 00 00 04     ....     -- length of interpretor = 4
       24      6c 69 73 70     lisp     -- interpretor characters
       28      00 00 00 04     ....     -- length of owner = 4
       32      6a 6f 68 6e     john     -- owner characters
       36      00 00 00 06     ....     -- length of file data = 6
       40      28 71 75 69     (qui     -- file data bytes ...
       44      74 29 00 00     t)..     -- ... and 2 zero-bytes of fill

8.  Security Considerations

   XDR is a data description language, not a protocol, and hence it does
   not inherently give rise to any particular security considerations.
   Protocols that carry XDR-formatted data, such as NFSv4, are
   responsible for providing any necessary security services to secure
   the data they transport.

   Care must be take to properly encode and decode data to avoid
   attacks.  Known and avoidable risks include:

   *    Buffer overflow attacks.  Where feasible, protocols should be
        defined with explicit limits (via the "<" [ value ] ">" notation
        instead of "<" ">") on elements with variable-length data types.
        Regardless of the feasibility of an explicit limit on the
        variable length of an element of a given protocol, decoders need
        to ensure the incoming size does not exceed the length of any
        provisioned receiver buffers.

   *    Nul octets embedded in an encoded value of type string.  If the
        decoder's native string format uses nul-terminated strings, then
        the apparent size of the decoded object will be less than the
        amount of memory allocated for the string.  Some memory
        deallocation interfaces take a size argument.  The caller of the
        deallocation interface would likely determine the size of the
        string by counting to the location of the nul octet and adding
        one.  This discrepancy can cause memory leakage (because less
        memory is actually returned to the free pool than allocated),
        leading to system failure and a denial of service attack.

   *    Decoding of characters in strings that are legal ASCII
        characters but nonetheless are illegal for the intended
        application.  For example, some operating systems treat the '/'



Eisler                      Standards Track                    [Page 22]

RFC 4506       XDR: External Data Representation Standard       May 2006


        character as a component separator in path names.  For a
        protocol that encodes a string in the argument to a file
        creation operation, the decoder needs to ensure that '/' is not
        inside the component name.  Otherwise, a file with an illegal
        '/' in its name will be created, making it difficult to remove,
        and is therefore a denial of service attack.

   *    Denial of service caused by recursive decoder or encoder
        subroutines.  A recursive decoder or encoder might process data
        that has a structured type with a member of type optional data
        that directly or indirectly refers to the structured type (i.e.,
        a linked list).  For example,

              struct m {
                int x;
                struct m *next;
              };

        An encoder or decoder subroutine might be written to recursively
        call itself each time another element of type "struct m" is
        found.  An attacker could construct a long linked list of
        "struct m" elements in the request or response, which then
        causes a stack overflow on the decoder or encoder.  Decoders and
        encoders should be written non-recursively or impose a limit on
        list length.

9.  IANA Considerations

   It is possible, if not likely, that new data types will be added to
   XDR in the future.  The process for adding new types is via a
   standards track RFC and not registration of new types with IANA.
   Standards track RFCs that update or replace this document should be
   documented as such in the RFC Editor's database of RFCs.

10.  Trademarks and Owners

   SUN WORKSTATION  Sun Microsystems, Inc.
   VAX              Hewlett-Packard Company
   IBM-PC           International Business Machines Corporation
   Cray             Cray Inc.
   NFS              Sun Microsystems, Inc.
   Ethernet         Xerox Corporation.
   Motorola 68000   Motorola, Inc.
   IBM 370          International Business Machines Corporation







Eisler                      Standards Track                    [Page 23]

RFC 4506       XDR: External Data Representation Standard       May 2006


11.  ANSI/IEEE Standard 754-1985

   The definition of NaNs, signed zero and infinity, and denormalized
   numbers from [IEEE] is reproduced here for convenience.  The
   definitions for quadruple-precision floating point numbers are
   analogs of those for single and double-precision floating point
   numbers and are defined in [IEEE].

   In the following, 'S' stands for the sign bit, 'E' for the exponent,
   and 'F' for the fractional part.  The symbol 'u' stands for an
   undefined bit (0 or 1).

   For single-precision floating point numbers:

    Type                  S (1 bit)   E (8 bits)    F (23 bits)
    ----                  ---------   ----------    -----------
    signalling NaN        u           255 (max)     .0uuuuu---u
                                                    (with at least
                                                     one 1 bit)
    quiet NaN             u           255 (max)     .1uuuuu---u

    negative infinity     1           255 (max)     .000000---0

    positive infinity     0           255 (max)     .000000---0

    negative zero         1           0             .000000---0

    positive zero         0           0             .000000---0

   For double-precision floating point numbers:

    Type                  S (1 bit)   E (11 bits)   F (52 bits)
    ----                  ---------   -----------   -----------
    signalling NaN        u           2047 (max)    .0uuuuu---u
                                                    (with at least
                                                     one 1 bit)
    quiet NaN             u           2047 (max)    .1uuuuu---u

    negative infinity     1           2047 (max)    .000000---0

    positive infinity     0           2047 (max)    .000000---0

    negative zero         1           0             .000000---0

    positive zero         0           0             .000000---0






Eisler                      Standards Track                    [Page 24]

RFC 4506       XDR: External Data Representation Standard       May 2006


   For quadruple-precision floating point numbers:

    Type                  S (1 bit)   E (15 bits)   F (112 bits)
    ----                  ---------   -----------   ------------
    signalling NaN        u           32767 (max)   .0uuuuu---u
                                                    (with at least
                                                     one 1 bit)
    quiet NaN             u           32767 (max)   .1uuuuu---u

    negative infinity     1           32767 (max)   .000000---0

    positive infinity     0           32767 (max)   .000000---0

    negative zero         1           0             .000000---0

    positive zero         0           0             .000000---0

   Subnormal numbers are represented as follows:

    Precision            Exponent       Value
    ---------            --------       -----
    Single               0              (-1)**S * 2**(-126) * 0.F

    Double               0              (-1)**S * 2**(-1022) * 0.F

    Quadruple            0              (-1)**S * 2**(-16382) * 0.F

12.  Normative References

   [IEEE]  "IEEE Standard for Binary Floating-Point Arithmetic",
           ANSI/IEEE Standard 754-1985, Institute of Electrical and
           Electronics Engineers, August 1985.

13.  Informative References

   [KERN]  Brian W. Kernighan & Dennis M. Ritchie, "The C Programming
           Language", Bell Laboratories, Murray Hill, New Jersey, 1978.

   [COHE]  Danny Cohen, "On Holy Wars and a Plea for Peace", IEEE
           Computer, October 1981.

   [COUR]  "Courier: The Remote Procedure Call Protocol", XEROX
           Corporation, XSIS 038112, December 1981.

   [SPAR]  "The SPARC Architecture Manual: Version 8", Prentice Hall,
           ISBN 0-13-825001-4.

   [HPRE]  "HP Precision Architecture Handbook", June 1987, 5954-9906.



Eisler                      Standards Track                    [Page 25]

RFC 4506       XDR: External Data Representation Standard       May 2006


14.  Acknowledgements

   Bob Lyon was Sun's visible force behind ONC RPC in the 1980s.  Sun
   Microsystems, Inc., is listed as the author of RFC 1014.  Raj
   Srinivasan and the rest of the old ONC RPC working group edited RFC
   1014 into RFC 1832, from which this document is derived.  Mike Eisler
   and Bill Janssen submitted the implementation reports for this
   standard.  Kevin Coffman, Benny Halevy, and Jon Peterson reviewed
   this document and gave feedback.  Peter Astrand and Bryan Olson
   pointed out several errors in RFC 1832 which are corrected in this
   document.

Editor's Address

   Mike Eisler
   5765 Chase Point Circle
   Colorado Springs, CO 80919
   USA

   Phone: 719-599-9026
   EMail: email2mre-rfc4506@yahoo.com

   Please address comments to: nfsv4@ietf.org




























Eisler                      Standards Track                    [Page 26]

RFC 4506       XDR: External Data Representation Standard       May 2006


Full Copyright Statement

   Copyright (C) The Internet Society (2006).

   This document is subject to the rights, licenses and restrictions
   contained in BCP 78, and except as set forth therein, the authors
   retain all their rights.

   This document and the information contained herein are provided on an
   "AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS
   OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY AND THE INTERNET
   ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED,
   INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE
   INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED
   WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.

Intellectual Property

   The IETF takes no position regarding the validity or scope of any
   Intellectual Property Rights or other rights that might be claimed to
   pertain to the implementation or use of the technology described in
   this document or the extent to which any license under such rights
   might or might not be available; nor does it represent that it has
   made any independent effort to identify any such rights.  Information
   on the procedures with respect to rights in RFC documents can be
   found in BCP 78 and BCP 79.

   Copies of IPR disclosures made to the IETF Secretariat and any
   assurances of licenses to be made available, or the result of an
   attempt made to obtain a general license or permission for the use of
   such proprietary rights by implementers or users of this
   specification can be obtained from the IETF on-line IPR repository at
   http://www.ietf.org/ipr.

   The IETF invites any interested party to bring to its attention any
   copyrights, patents or patent applications, or other proprietary
   rights that may cover technology that may be required to implement
   this standard.  Please address the information to the IETF at
   ietf-ipr@ietf.org.

Acknowledgement

   Funding for the RFC Editor function is provided by the IETF
   Administrative Support Activity (IASA).







Eisler                      Standards Track                    [Page 27]