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CBOR Common Deterministic Encoding (CDE)
draft-ietf-cbor-cde-13

Document Type Active Internet-Draft (cbor WG)
Author Carsten Bormann
Last updated 2025-10-19 (Latest revision 2025-10-13)
Replaces draft-bormann-cbor-cde
RFC stream Internet Engineering Task Force (IETF)
Intended RFC status Best Current Practice
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Stream WG state Parked WG Document
Other - see Comment Log
Document shepherd Paul E. Hoffman
IESG IESG state I-D Exists
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Send notices to paul.hoffman@icann.org
draft-ietf-cbor-cde-13
CBOR                                                          C. Bormann
Internet-Draft                                    Universität Bremen TZI
Updates: 8949 (if approved)                              14 October 2025
Intended status: Best Current Practice                                  
Expires: 17 April 2026

                CBOR Common Deterministic Encoding (CDE)
                         draft-ietf-cbor-cde-13

Abstract

   CBOR (STD 94, RFC 8949) defines the concept of "Deterministically
   Encoded CBOR" in its Section 4.2, determining one specific way to
   encode each particular CBOR value.  This definition is instantiated
   by "core requirements", providing some flexibility for application
   specific decisions; this makes it harder than necessary to offer
   Deterministic Encoding as a selectable feature of generic CBOR
   encoders.

   The present specification documents the Best Current Practice for
   CBOR _Common Deterministic Encoding_ (CDE), which can be shared by a
   large set of applications with potentially diverging detailed
   application requirements.

   The document also discusses the desire for partial implementations,
   which can be another reason for constraining CBOR encoders, and
   singles out the encoding constraint "definite-length-only" as a
   likely constraint to be used in application protocol and media type
   definitions.

   This specification updates RFC 8949 in that it provides
   clarifications and definitions of additional terms as well as more
   examples and explanatory text; it does not make technical changes to
   RFC 8949.

   // This revision -13 merges all active pull requests in preparation
   // for the 2025-cbor-17 interim on 2025-10-15.

About This Document

   This note is to be removed before publishing as an RFC.

   Status information for this document may be found at
   https://datatracker.ietf.org/doc/draft-ietf-cbor-cde/.

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   Discussion of this document takes place on the Concise Binary Object
   Representation Maintenance and Extensions (CBOR) Working Group
   mailing list (mailto:cbor@ietf.org), which is archived at
   https://mailarchive.ietf.org/arch/browse/cbor/.  Subscribe at
   https://www.ietf.org/mailman/listinfo/cbor/.

   Source for this draft and an issue tracker can be found at
   https://github.com/cbor-wg/draft-ietf-cbor-cde.

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
   provisions of BCP 78 and BCP 79.

   Internet-Drafts are working documents of the Internet Engineering
   Task Force (IETF).  Note that other groups may also distribute
   working documents as Internet-Drafts.  The list of current Internet-
   Drafts is at https://datatracker.ietf.org/drafts/current/.

   Internet-Drafts are draft documents valid for a maximum of six months
   and may be updated, replaced, or obsoleted by other documents at any
   time.  It is inappropriate to use Internet-Drafts as reference
   material or to cite them other than as "work in progress."

   This Internet-Draft will expire on 17 April 2026.

Copyright Notice

   Copyright (c) 2025 IETF Trust and the persons identified as the
   document authors.  All rights reserved.

   This document is subject to BCP 78 and the IETF Trust's Legal
   Provisions Relating to IETF Documents (https://trustee.ietf.org/
   license-info) in effect on the date of publication of this document.
   Please review these documents carefully, as they describe your rights
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   provided without warranty as described in the Revised BSD License.

Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
     1.1.  Structure of This Document  . . . . . . . . . . . . . . .   4
     1.2.  Conventions and Definitions . . . . . . . . . . . . . . .   5
   2.  Encoding Choices in CBOR  . . . . . . . . . . . . . . . . . .   8
   3.  CBOR Common Deterministic Encoding (CDE)  . . . . . . . . . .  10
     3.1.  The preferred-serialization Constraint  . . . . . . . . .  11

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       3.1.1.  shortest-head and Integer Serialization . . . . . . .  12
       3.1.2.  shortest-head and IEEE754 Floating Point  . . . . . .  12
     3.2.  The definite-length-only Encoding Constraint  . . . . . .  15
     3.3.  The lexicographic-map-sorting Encoding Constraint . . . .  15
   4.  CDDL support  . . . . . . . . . . . . . . . . . . . . . . . .  16
   5.  Security Considerations . . . . . . . . . . . . . . . . . . .  17
   6.  IANA Considerations . . . . . . . . . . . . . . . . . . . . .  17
   7.  References  . . . . . . . . . . . . . . . . . . . . . . . . .  18
     7.1.  Normative References  . . . . . . . . . . . . . . . . . .  18
     7.2.  Informative References  . . . . . . . . . . . . . . . . .  19
   Appendix A.  Information Model, Data Model and Serialization  . .  21
     A.1.  Data Model, Encoding Variants and Interoperability with
           Partial Implementations . . . . . . . . . . . . . . . . .  22
   Appendix B.  Application-level Deterministic Representation . . .  23
   Appendix C.  Implementers' Checklists . . . . . . . . . . . . . .  26
     C.1.  Preferred Serialization . . . . . . . . . . . . . . . . .  27
       C.1.1.  Preferred Serialization Encoders  . . . . . . . . . .  28
       C.1.2.  Decoders and Preferred Serialization  . . . . . . . .  29
     C.2.  definite-length-only  . . . . . . . . . . . . . . . . . .  30
     C.3.  CDE . . . . . . . . . . . . . . . . . . . . . . . . . . .  30
       C.3.1.  CDE Encoders  . . . . . . . . . . . . . . . . . . . .  30
       C.3.2.  CDE-checking Decoders . . . . . . . . . . . . . . . .  31
   Appendix D.  Encoding Examples  . . . . . . . . . . . . . . . . .  31
     D.1.  CDE: Integer Value Examples . . . . . . . . . . . . . . .  32
     D.2.  CDE: Floating Point Value Examples  . . . . . . . . . . .  33
     D.3.  Failing Examples: Not CDE . . . . . . . . . . . . . . . .  38
   Appendix E.  Examples for Preferred Serialization of Integers . .  38
   Appendix F.  Example Code for Encoding into 16-bit Floating
           Point . . . . . . . . . . . . . . . . . . . . . . . . . .  39
   List of Figures . . . . . . . . . . . . . . . . . . . . . . . . .  40
   List of Tables  . . . . . . . . . . . . . . . . . . . . . . . . .  40
   Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . .  41
   Contributors  . . . . . . . . . . . . . . . . . . . . . . . . . .  41
   Author's Address  . . . . . . . . . . . . . . . . . . . . . . . .  41

1.  Introduction

   CBOR (STD 94, RFC 8949) defines the concept of "Deterministically
   Encoded CBOR" in its Section 4.2, determining one specific way to
   encode each particular CBOR value.  This definition is instantiated
   by "core requirements", providing some flexibility for application
   specific decisions; this makes it harder than necessary to offer
   Deterministic Encoding as a selectable feature of generic CBOR
   encoders.

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   The present specification documents the Best Current Practice for
   CBOR _Common Deterministic Encoding_ (CDE), which can be shared by a
   large set of applications with potentially diverging detailed
   application requirements.

   The document also discusses the desire for partial implementations,
   which can be another reason for constraining CBOR encoders, and
   singles out the encoding constraint "definite-length-only" as a
   likely constraint to be used in application protocol and media type
   definitions.

   This specification updates RFC 8949 in that it provides
   clarifications and definitions of additional terms as well as more
   examples and explanatory text; it does not make technical changes to
   RFC 8949.

1.1.  Structure of This Document

   After introductory material (this introduction and Section 2),
   Section 3 defines the CBOR Common Deterministic Encoding (CDE).
   Section 4 defines Concise Data Definition Language (CDDL) support for
   indicating the use of CDE.  This is followed by the conventional
   sections for Security Considerations (5), IANA Considerations (6),
   and References (7).

   For use as background material, Appendix A introduces terminology for
   the layering of models used to describe CBOR.

   Instead of giving rise to the definition of application-specific,
   non-interoperable variants of CDE, this document identifies
   Application-level Deterministic Representation (ALDR) rules as a
   concept that is separate from CDE itself (Appendix B) and therefore
   out of scope for this document.  ALDR rules are situated at the
   application-level, i.e., on top of CDE, and address requirements on
   deterministic representation of application data that are specific to
   an application or a set of applications.  ALDR rules are routinely
   provided as part of a specification for a CBOR-based protocol, or, if
   needed, can be provided by referencing a shared "ALDR ruleset" that
   is defined in a separate document.

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   The informative Appendix C provides brief checklists that
   implementers can use to check their CDE implementations.
   Appendix C.1 provides a checklist for implementing preferred-
   serialization.  Appendix C.2 discusses the definite-length-only
   encoding constraint, which may be used by encoders to hit a sweet
   spot for maximizing interoperability with partial (e.g., constrained)
   CBOR decoder implementations.  Appendix C.3 discusses lexicographic-
   map-sorting, which is added to these two encoding constraints to
   arrive at CDE.

   Appendix D provides a few examples for CBOR data items in CDE
   encoding, as well as a few failing examples; Appendix E examines
   preferred serialization of the number 1 in more detail.  For
   reference by implementers, Appendix F shows an implementation that
   attempts to encode a floating point number as "half precision"
   binary16.

1.2.  Conventions and Definitions

   The conventions and definitions of [STD94] apply.  Appendix A
   provides additional discussion of the terms information model, data
   model, and serialization.

   The terms specifically called out for this document fall into four
   categories:

   1.  terms defined in Section 1.2 of RFC 8949 [STD94] (among others,
       Well-Formed, Valid, and Expected);

   2.  terms defined (or consistently used) in the text of RFC8949, but
       possibly supplemented with a concise definition here ("RFC8949
       terms"), such as Preferred Serialization;

   3.  terms we use in their English/computer science sense ("generic
       terms"), for which we may still want to supply a sharpened
       definition here, such as Deterministic Encoding;

   4.  terms specifically defined in this document ("CDE terms"), such
       as CDE or Encoding constraint.

   "CBOR Application" ("application" for short, RFC8949 term):
      application that uses CBOR as an interchange format and uses
      (often generic) CBOR encoders/decoders to serialize/ingest the
      CBOR form of their application data to be exchanged.

   "CBOR Protocol" (RFC8949 term):
      the protocol that governs the interchange of data in CBOR format
      for a specific application or set of applications.

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   "Representation" (RFC8949 term):
      the process, and its result, of building the representation format
      out of (information-model level) application data.

   "Serialization" (RFC8949 term):
      the subset of the representation process, and its result, that
      represents ("serializes") a data item at the CBOR generic data
      model form into encoded data items.  "Encoding" is often used as a
      synonym when the focus is on that.  Often involves choosing one of
      several equivalent encodings (serializations), i.e., providing
      "variation".

   "Encoding constraint" (CDE):
      A rule that governs the choice of one of several otherwise
      equivalent CBOR encodings for a CBOR data item.  Several encoding
      constraints can be combined into an encoding constraint set, which
      is itself an encoding constraint that requires that all encoding
      constraints in the set are met.
      When giving encoding constraints names, this document uses lower-
      case words separated by hyphens, rendered in a typewriter font, as
      in lexicographic-map-sorting.

   "Preferred serialization" (RFC8949 term):
      Defined in Section 4.1 of RFC 8949 [STD94] for the basic data
      model, Preferred Serialization is one specific set of encoding
      constraints.  Tag specifications can also define the Preferred
      Serialization of the specific tag that are defining (e.g., in
      Section 3.4.3 of RFC 8949 [STD94]).  Collectively the encoding
      constraint is named preferred-serialization.

   "Deterministic encoding" (generic):
      An encoding process (or, more specifically, encoding constraint)
      that deterministically always chooses the same encoding for each
      data item with several encoding choices.  (The term refers both to
      such a process and a result of a specific such process.)  Note
      that there can be many rule sets that each can yield deterministic
      encodings; for instance, [STD94] defines elements of a legacy
      deterministic encoding in Section 4.2.3 of RFC 8949 [STD94] that
      is distinct from the one for which requirements are defined in
      Section 4.2.1 of RFC 8949 [STD94].

   "Generic encoder"/"Generic decoder" (RFC8949 term):

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      Defined in Section 5.2 of RFC 8949 [STD94], a generic CBOR decoder
      can decode all well-formed (Section 1.2 of RFC 8949 [STD94])
      encoded CBOR data items and present the data items to an
      application.  Similarly, generic CBOR encoders provide an
      application interface that allows the application to specify any
      well-formed value to be encoded as a CBOR data item, including
      simple values and tags that are unknown to the encoder.

   "Partial Implementation" (CDE):
      A decoder or encoder that is not generic, but usually limited to
      the needs of specific (a specific set of) applications.

   "Common Deterministic Encoding" (CDE):
      The common deterministic encoding process defined in the present
      BCP, based on Preferred Serialization and Section 4.2.1 of RFC
      8949 [STD94].  Out of many potential and actual deterministic
      encodings, CDE is RECOMMENDED for implementation and specification
      where deterministic encoding is required or desired.

   "CDE-checking decoder" (CDE):
      A decoder that checks that the encoding constraints of CDE have
      been met.  (Note that a decoder can also provide other types of
      checks, such validity-checking and duplicate-checking (RFC8949);
      just speaking of "checking decoders" without further qualification
      can therefore be imprecise.)  Note that an encoder can meet a set
      of encoding constraints without the CBOR decoder then checking
      them (or even being aware of the constraints or that they have
      been used).  Certain benefits of specific encoding constraints may
      only be available in conjunction with decoders checking those
      constraints.

   Bignum (RFC8949 term):
      An integer that is represented using CBOR tag 2 or tag 3.  (Not
      called Bigint as that term may be in use for a platform
      representation.)

   NaN payload ([IEEE754]):
      All but the first bit (Q-bit) of the trailing significand
      component of the [IEEE754] value for a NaN.  Separate from sign
      bit and Q-bit.

   Trivial NaN (CDE):
      A NaN with a zero sign bit, and a payload composed of zero bits
      only.  Note that in [IEEE754], all-zero payload implies that the
      Q-bit is set to one.  Represented in CDE as the three bytes
      0xf97e00.

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   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
   "OPTIONAL" in this document are to be interpreted as described in
   [BCP14] (RFC2119) (RFC8174) when, and only when, they appear in all
   capitals, as shown here.

2.  Encoding Choices in CBOR

   In many cases, CBOR provides more than one way to encode a data item,
   i.e., to serialize it into a sequence of bytes that is well-formed
   CBOR.  This flexibility can provide convenience for the generator of
   the encoded data item, but handling the resulting variation can also
   put an onus on the decoder.  In general, there is no single perfect
   encoding choice that is optimal for all applications.  Determining
   whether encoding constraints are needed and, if yes, choosing the
   right encoding constraints can be one element of application protocol
   design.  Having predefined sets of such choices is a useful way to
   reduce variation between applications, enabling generic
   implementations.

   The default choice of course is not to employ any encoding
   constraints at all.  The name well-formed is a good name for the
   empty set of encoding constraints, as well-formed CBOR is the
   baseline that is required for any interoperability.  Many CBOR
   applications have no need for encoding constraints and therefore have
   no requirement beyond well-formed encoding.

   Still, an encoder has to make a decision at some point, even if it
   could use any well-formed CBOR encoding.  Section 4.1 of RFC 8949
   [STD94] provides a recommendation for a _Preferred Serialization_.
   This recommendation is a useful guideline for generic encoders, and
   it is a good choice for specialized encoders for most applications.
   Its main constraint is to choose the shortest _head_ (Section 3 of
   RFC 8949 [STD94]) that preserves the value of a data item (shortest-
   head encoding constraint).  In addition, tag definitions can specify
   a preferred serialization for a tag (Section 3.4 of RFC 8949
   [STD94]); the shortest-head encoding constraint together with the
   preferred serializations of tags constitute the preferred-
   serialization encoding constraint.  Typically, this encoding
   constraint is relevant only for the encoder, as there is nothing to
   be gained by enforcing it by itself in a decoder, which will instead
   accept all well-formed CBOR.

   Preferred Serialization allows indefinite length encoding
   (Section 3.2 of RFC 8949 [STD94]), which does not express the length
   of a string, an array, or a map in its head.  Supporting both
   definite length and indefinite length encoding is an additional onus
   on the decoder.  Many applications therefore choose not to use

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   indefinite length encoding at all (definite-length-encoding encoding
   constraint), which enables the use of _partial implementations_ that
   do not support decoding indefinite length encoding.  In contrast to
   preferred-serialization, relying on this constraint enforces the
   choice at the decoder, we therefore speak about an _interoperability
   constraint_.

   Combining preferred-serialization with definite-length-encoding still
   allows some variation.  Specifically, there is more than one
   serialization for data items that contain maps that have more than
   one entry: The order of serialization of map entries in a map is not
   significant in CBOR (the same as in JSON), so maps with more than one
   entry have all permutations of these entries as valid serializations.

   The encoding constraint lexicographic-map-sorting defines a common
   order for the entries in a map, requiring lexicographic ordering for
   the representations of the map keys.  For many applications, ensuring
   this common order is an additional onus on the generator that is not
   actually needed, so they do not choose to apply this encoding
   constraint.  However, there are several use cases for Deterministic
   Serialization (further discussed in Section 2 of
   [I-D.bormann-cbor-det]), and if the objective is minimal effort for
   the consuming application, deterministic map ordering can be useful
   even outside those use cases.  For most of these use cases, the
   benefits of the encoding constraints for deterministic serialization
   not only require the encoder to follow them, but also need the
   constraints to be enforced ("checked") by the decoder.  We speak of
   "checking decoders", which also turn the encoding constraints into
   interoperability constraints.

   Table 1 summarizes the sets of encoding choices that have been given
   names in this section.

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   +=========================+===========================+============+
   |Encoding Constraint      | Interoperability          |Applications|
   |                         | Constraint?               |            |
   +=========================+===========================+============+
   |well-formed (no          |                           |            |
   |constraints)             |                           |            |
   +-------------------------+---------------------------+------------+
   |preferred-serialization  | typically no (encoding    |most        |
   |                         | guideline only)           |            |
   +-------------------------+---------------------------+------------+
   |definite-length-encoding | often yes (enabling       |many        |
   |                         | partial implementations   |            |
   |                         | in the decoder)           |            |
   +-------------------------+---------------------------+------------+
   |lexicographic-map-sorting| an interoperability       |specific    |
   |                         | constraint specifically   |            |
   |                         | for _Common Deterministic |            |
   |                         | Encoding_ (CDE)           |            |
   +-------------------------+---------------------------+------------+
   |cde                      | the combination of        |specific    |
   |                         | preferred-serialization,  |            |
   |                         | definite-length-encoding  |            |
   |                         | and lexicographic-map-    |            |
   |                         | sorting as                |            |
   |                         | interoperability          |            |
   |                         | constraints to obtain CDE |            |
   +-------------------------+---------------------------+------------+

            Table 1: Constraints on the Serialization of CBOR

   Note that the objective to have a deterministic serialization for a
   specific application data item can only be fulfilled if the
   application itself does not generate multiple different CBOR data
   items that represent that same (equivalent) application data item.
   We speak of the need for Application-level Deterministic
   Representation (ALDR), and we may want to aid achieving this by the
   application defining rules for ALDR (see also Appendix B).  Where
   Deterministic Representation is not actually needed, application-
   level representation rules of course can still be useful to
   facilitate processing at the recipient.

3.  CBOR Common Deterministic Encoding (CDE)

   This specification documents the _CBOR Common Deterministic Encoding_
   (CDE) Best Current Practice that is based on the _Core Deterministic
   Encoding Requirements_ defined for CBOR in Section 4.2.1 of RFC 8949
   [STD94].

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   Note that, for RFC8949, this specific set of requirements is elective
   — in principle, other variants of deterministic encoding can be
   defined (and have been, now being phased out, as detailed in
   Section 4.2.3 of RFC 8949 [STD94]).  In many applications of CBOR,
   deterministic encoding is not used at all, as its restriction of
   choices can create some additional performance cost and code
   complexity.

   [STD94]'s "Core Deterministic Encoding Requirements" are designed to
   provide well-understood and easy-to-implement rules while maximizing
   coverage, i.e., the subset of CBOR data items that are fully
   specified by these rules, and also placing minimal burden on
   implementations.

   Formally, Common Deterministic Encoding (CDE) is an encoding
   constraint (named cde for short), built from multiple constituent
   encoding constraints (which may, in turn, be built from multiple
   constituent encoding constraints).  As discussed in Section 2, CDE
   combines the constraints of preferred-serialization with definite-
   length-only and the lexicographic-map-sorting constraint.

      |  While many CBOR encoder implementations do set out to provide
      |  Preferred Serialization, there is less of a practical
      |  requirement to fully conform, as generic CBOR decoders do not
      |  normally check for Preferred Serialization.  In contrast, an
      |  application that relies on deterministic representation, during
      |  ingestion of an encoded CBOR data item will often need to
      |  employ a "CDE-checking decoder", i.e., a CBOR decoder
      |  configured to also check that all CDE encoding constraints are
      |  satisfied (see also Appendix C).  Here, small deviations from
      |  CDE, including deviations from preferred-serialization, turn
      |  into interoperability problems; hence the additional attention
      |  of the present document on these constraints.

   The remaining section discusses the three constituent encoding
   constraints from which cde is defined.

3.1.  The preferred-serialization Constraint

   The preferred-serialization encoding constraint is a combination of
   the shortest-head constraint and tag-specific encoding constraints
   defined to be part of preferred-serialization.

   The shortest-head constraint is somewhat trivial (see Appendix E for
   examples), except for two fine points having to do with the numeric
   systems underlying CBOR.

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3.1.1.  shortest-head and Integer Serialization

   Section 4.2.2 of RFC 8949 [STD94] picks up on the interaction of
   extensibility (CBOR tags) and deterministic encoding.  CBOR itself
   uses some tags to increase the range of its basic generic data types.
   Specifically, tags 2/3 extend the range of basic major types 0/1 in a
   seamless way.  Section 4.2.2 of RFC 8949 [STD94] recommends handling
   this transition the same way as with the transition between different
   integer representation lengths in the basic generic data model, i.e.,
   by mandating the Preferred Serialization for all integers
   (Section 3.4.3 of RFC 8949 [STD94]; see also Appendix D.1 and
   Appendix E).

   By adopting the encoding constraints from Preferred Serialization,
   CDE turns this recommendation into a mandate: Integers that can be
   represented by basic major type 0 and 1 MUST be encoded using the
   (shortest-head) deterministic encoding defined for them, and integers
   outside this range MUST be encoded using the Preferred Serialization
   (Section 3.4.3 of RFC 8949 [STD94]) of tag 2 and 3 (i.e., no leading
   zero bytes).

      |  Not only for numbers, most tags capture more specific
      |  application semantics than tag 2/3 and therefore may be harder
      |  to define a deterministic encoding for.  While the
      |  deterministic encoding of their tag internals is often covered
      |  by the _Core Deterministic Encoding Requirements_, the mapping
      |  of diverging platform application data types onto the tag
      |  contents may require additional attention to perform it in a
      |  deterministic way; see Section 3.2 of [I-D.bormann-cbor-det]
      |  for more explanation as well as examples.
      |  As CDE would continually need to address additional issues
      |  raised by the registration of new tags, this specification
      |  recommends that new tag registrations address deterministic
      |  encoding in the context of CDE.  Note that not in all cases the
      |  tag's deterministic encoding constraints will be confined to
      |  its definition of Preferred Serialization.

3.1.2.  shortest-head and [IEEE754] Floating Point

   A particularly difficult field to obtain deterministic encoding for
   is floating point numbers, partially because they themselves are
   often obtained from processes that are not entirely deterministic
   between platforms.  See Section 3.2.2 of [I-D.bormann-cbor-det] for
   more details.  Section 4.2.2 of RFC 8949 [STD94] presents a number of
   choices that need to be made to obtain deterministic representation,
   some of which are application-level choices.  To obtain the CBOR
   Common Deterministic Encoding (CDE), this specification entirely
   recurs to the shortest-head component of Preferred Serialization and

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   does _not_ itself define any additional constraints.

   Similar to the shortest-head constraint for major types 0 to 6,
   floating point values are represented with the shortest head
   (Section 3 of RFC 8949 [STD94]) that preserves the value of the data
   item.  This means that the application has no control over the
   representation size, e.g., the number 1.0 will always be serialized
   as a binary16 floating point number (0xf93c00) as that is the
   shortest representation that preserves the value.  It also means that
   generic decoders often will expand floating point numbers to a single
   size that is convenient on the platform (such as binary64).

   The rest of this section responds to a perceived need to clarify some
   of the Preferred Serialization constraints for floating point values.
   Specifically, CDE specifies (in the order of the bullet list at the
   end of Section 4.2.2 of RFC 8949 [STD94]):

   1.  Besides the mandated use of Preferred Serialization, there is no
       further specific action for the two different zero values, e.g.,
       an encoder that is asked by an application to represent a
       negative floating point zero (-0.0) will generate 0xf98000.

   2.  There is no attempt to mix integers and floating point numbers,
       i.e., all floating point values are encoded as the preferred
       floating-point representation that accurately represents the
       value, independent of whether the floating point value is,
       mathematically, an integral value (choice 2 of the second bullet
       in Section 4.2.2 of RFC 8949 [STD94]).

   3.  Apart from finite and infinite numbers, [IEEE754] floating point
       values include NaN (not a number) values
       [I-D.bormann-cbor-numbers].  In CDE, there is no special handling
       of NaN values, except a clarification that the Preferred
       Serialization rules also apply to NaNs (with zero or non-zero
       payloads), using the encoding of NaNs as defined in Section 6.2.1
       of [IEEE754].  Note that [IEEE754] leaves several details about
       handling NaNs implementation-defined; CBOR makes several
       decisions here: Specifically, shorter forms of encodings for a
       NaN are used when that can be achieved by only removing trailing
       zeros in the NaN payload (example serializations are available in
       Appendix A.1.2 of [I-D.bormann-cbor-numbers]; see also the aside
       below).  Further clarifying a "should"-level statement in
       Section 6.2.1 of [IEEE754], the CBOR encoding always uses a
       leading bit of 1 in the significand to encode a quiet NaN; the
       use of signaling NaNs by application protocols is NOT RECOMMENDED
       but when presented by an application these are encoded by using a
       leading significand bit of 0.

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       Typically, most applications that employ NaNs in their storage
       and communication interfaces will only use a single NaN value:
       quiet, non-negative NaN with a payload of all zero bits.  This
       value therefore deterministically encodes as 0xf97e00.

   4.  There is no special handling of subnormal values.

   5.  CDE does not presume equivalence of basic floating point values
       with floating point values using other representations (e.g., tag
       4/5).  Such equivalences and related deterministic representation
       rules can be added at the ALDR level if desired, e.g., by
       stipulating additional equivalences and deterministically
       choosing exactly one representation for each such equivalence,
       and by restricting in general the set of data item values
       actually used by an application.
       (A new tag definition might define Preferred Serializations that
       are basic major-type 7 floating point values; this is
       unproblematic as long as the tag definition does not attempt to
       redefine the Preferred Serialization for basic floating point
       values.)

   The main intent here is to preserve the basic generic data model, so
   applications (in their ALDR rules or by referencing a separate ALDR
   ruleset document, see Appendix B) can make their own decisions within
   that data model.  E.g., an application's ALDR rules can decide that
   it only ever allows a single NaN value that would be encoded as
   0xf97e00, so a CDE implementation focusing on this application would
   not even need to provide processing for other NaN values.  Basing the
   definition of both CDE and ALDR rules on the generic data model of
   CBOR also means that there is no effect on the Concise Data
   Definition Language (CDDL) [RFC8610], except where the data
   description is documenting specific encoding decisions for byte
   strings that carry embedded CBOR (see Section 4).

      |  Section 9.7 of [IEEE754] specifies an implementation-defined
      |  programming interface for accessing non-zero NaN payloads, the
      |  getpayload/setpayload functions.  (A version of these, with
      |  separate sets of functions for each representation size, is
      |  also included in the revision of the C language that is most
      |  recent at the time of writing [C23].)  When using these
      |  functions, it is important to be aware that their effects are
      |  specific to the representation size of the floating point
      |  values they are applied to (e.g., half, single, or double
      |  precision).  The representation size for interchange will be
      |  chosen by Preferred Serialization for each value, which may not
      |  always be the size that was intended for the use of getpayload/
      |  setpayload.  A good way to handle this diversity is, upon
      |  decoding, to widen the representation size of all NaNs to a

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      |  common size, often double precision ([IEEE754] binary64),
      |  before applying getpayload/setpayload.  The inverse to the
      |  narrowing performed by preferred serialization, this widening
      |  operation successively adds the necessary one bits to the
      |  exponent and trailing zero bits to the payload to build the
      |  next longer form until the desired size for the NaN has been
      |  reached.

3.2.  The definite-length-only Encoding Constraint

   The definite-length-only encoding constraint means that indefinite
   length encoding MUST NOT be used.  In many encoders, the use of
   indefinite length encoding is controlled by its configuration and can
   simply be switched off.

      |  Indefinite length strings require non-trivial implementation
      |  effort when a with zero allocation/zero copy approach is in
      |  use.  Therefore, there can be a strong argument to not include
      |  them in a partial implementation.  Application protocols may
      |  cater to this argument by specifying the encoding constraint
      |  definite-length-only.

3.3.  The lexicographic-map-sorting Encoding Constraint

   In line with Section 4.2.1 of RFC 8949 [STD94], the third constituent
   of CDE is the constraint to sort map entries bytewise
   lexicographically by their map keys.

      |  In some implementations, where platform representations of maps
      |  preserve ordering, lexicographic-map-sorting can be achieved
      |  using a generic CBOR encoder by pre-ordering all maps to be
      |  encoded, as long as that generic encoder also preserves the
      |  ordering in maps.  In implementations without these properties,
      |  a specialized CBOR encoder may need to be employed.

   Specifically, for lexicographic-map-sorting the (CDE-encoded) map key
   of a map entry MUST be lexicographically strictly greater than that
   of the map entry immediately preceding it in the encoding of the map,
   if any.  (Note that this constraint is trivially satisfied by data
   items that do not contain maps or only contain maps that have zero or
   one map entry.)  The bytewise lexicographic comparison steps in
   parallel through the bytes of the two encoded map keys, comparing the
   (unsigned integer values of the) bytes.  If the bytes differ, the
   difference determines the outcome of the comparison.  If the bytes
   are the same, the next pair of bytes are examined.  If there is no
   such next pair, the comparison and thus CDE serialization fails
   entirely (the map keys of the two map entries are the same, which is
   not valid in a CBOR map, or one is an extension of the other, which

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   is not possible in the self-delimiting CBOR encoding).  See the last
   bullet of Section 4.2.1 of RFC 8949 [STD94] for examples and
   additional explanation.

      |  RFC 8949 has a validity requirement that maps cannot contain
      |  multiple entries with the same key (“no duplicate keys”,
      |  Sections 5.3.1 and 5.6 of RFC 8949 [STD94]).  This is only a
      |  validity requirement as enforcing this requires the encoder to
      |  be aware of all map keys at the same time, which may be
      |  particularly difficult to implement for streaming encoders.
      |  The lexicographic-map-sorting encoding constraint does require
      |  such awareness already as a prerequisite to sorting the entries
      |  by map key.  In combination with the other CDE encoding
      |  constraints preferred-serialization and definite-length-only,
      |  the check therefore becomes trivial: multiple entries with the
      |  same map key would have the same (deterministic) map key
      |  serialization and would therefore be consecutive when sorted.
      |  Given this opportunity, the lexicographic-map-sorting encoding
      |  constraint therefore is deliberately phrased to require
      |  consecutive entries to have strictly increasing map keys; with
      |  the other CDE encoding constraints, this prevents encoding
      |  multiple entries that have the same key.  Note that
      |  Section 5.6.1 of RFC 8949 [STD94] lists one specific case
      |  "(specifically, -0.0 is equal to 0.0)" where two different keys
      |  are considered equivalent for the purpose of duplicate map
      |  keys; this needs to be checked with extra code for a full
      |  validity checker.

4.  CDDL support

   CDDL defines the structure of CBOR data items at the data model
   level; it enables being specific about the data items allowed in a
   particular place.  It does not specify encoding; CBOR protocols can
   specify the use of CDE (or simply definite-length-only encoding)
   independent of the CDDL data model.

   CDDL operates by restricting the set of data-model level data items.
   E.g., CDDL allows the specification of a floating point data item as
   "float16"; this means the application data model only foresees data
   that can be encoded as [IEEE754] binary16.  Note that specifying
   "float32" for a floating point data item enables all floating point
   values that can be represented as binary32; this includes values that
   can also be represented as binary16 and that will be so represented
   in Preferred Serialization.

   [RFC8610] defines control operators to indicate that the contents of
   a byte string carries a CBOR-encoded data item (.cbor) or a sequence
   of CBOR-encoded data items (.cborseq).

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   CDDL specifications may want to specify that the data items should be
   encoded in Common CBOR Deterministic Encoding.  The present
   specification adds two CDDL control operators that can be used for
   this.

   The control operators .cde and .cdeseq are exactly like .cbor and
   .cborseq except that they also require the encoded data item(s) to be
   encoded according to CDE.
   // Note that there is no .dlo or .dloseq for definite-length-only,
   // as, so far, a requirement for these hasn't been detected.

   For example, a byte string of embedded CBOR that is to be encoded
   according to CDE can be formalized as:

   leaf = #6.24(bytes .cde any)

   More importantly, if the encoded data item also needs to have a
   specific structure, this can be expressed by the right-hand side
   (instead of using the most general CDDL type any here).

   (Note that the .cdeseq control operator does not enable specifying
   different deterministic encoding requirements for the elements of the
   sequence.  If a use case for such a feature becomes known, it could
   be added, or the CBOR sequence could be constructed with .join
   (Section 3.1 of [RFC9741]).)

   Obviously, specifications that document ALDR rules can define related
   control operators that also embody the processing required by those
   ALDR rules, and are encouraged to do so.

5.  Security Considerations

   The security considerations in Section 10 of RFC 8949 [STD94] apply.
   The use of deterministic encoding can mitigate issues arising out of
   the use of non-preferred serializations specially crafted by an
   attacker.  However, this effect only accrues if the decoder actually
   checks that deterministic encoding was applied correctly.  More
   generally, additional security properties of deterministic encoding
   can rely on this check being performed properly.

6.  IANA Considerations

   // RFC Editor: please replace RFCXXXX with the RFC number of this RFC
   // and remove this note.

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   This document requests IANA to register the contents of Table 2 into
   the registry "CDDL Control Operators" of the [IANA.cddl] registry
   group:

                          +---------+-----------+
                          | Name    | Reference |
                          +---------+-----------+
                          | .cde    | [RFCXXXX] |
                          | .cdeseq | [RFCXXXX] |
                          +---------+-----------+

                            Table 2: New control
                              operators to be
                                 registered

7.  References

7.1.  Normative References

   [BCP14]    Best Current Practice 14,
              <https://www.rfc-editor.org/info/bcp14>.
              At the time of writing, this BCP comprises the following:

              Bradner, S., "Key words for use in RFCs to Indicate
              Requirement Levels", BCP 14, RFC 2119,
              DOI 10.17487/RFC2119, March 1997,
              <https://www.rfc-editor.org/info/rfc2119>.

              Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC
              2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
              May 2017, <https://www.rfc-editor.org/info/rfc8174>.

   [IANA.cddl]
              IANA, "Concise Data Definition Language (CDDL)",
              <https://www.iana.org/assignments/cddl>.

   [IEEE754]  IEEE, "IEEE Standard for Floating-Point Arithmetic", IEEE
              Std 754-2019, DOI 10.1109/IEEESTD.2019.8766229,
              <https://ieeexplore.ieee.org/document/8766229>.

   [RFC8610]  Birkholz, H., Vigano, C., and C. Bormann, "Concise Data
              Definition Language (CDDL): A Notational Convention to
              Express Concise Binary Object Representation (CBOR) and
              JSON Data Structures", RFC 8610, DOI 10.17487/RFC8610,
              June 2019, <https://www.rfc-editor.org/rfc/rfc8610>.

   [STD94]    Internet Standard 94,
              <https://www.rfc-editor.org/info/std94>.

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              At the time of writing, this STD comprises the following:

              Bormann, C. and P. Hoffman, "Concise Binary Object
              Representation (CBOR)", STD 94, RFC 8949,
              DOI 10.17487/RFC8949, December 2020,
              <https://www.rfc-editor.org/info/rfc8949>.

7.2.  Informative References

   [C23]      International Organization for Standardization,
              "Information technology — Programming languages — C", ISO/
              IEC 9899:2024, October 2024,
              <https://www.iso.org/standard/82075.html>.  This revision
              of the standard is widely known as C23.  Technically
              equivalent specification text is available at
              https://www.open-std.org/jtc1/sc22/wg14/www/docs/n3220.pdf
              (https://www.open-std.org/jtc1/sc22/wg14/www/docs/
              n3220.pdf).

   [I-D.bormann-cbor-det]
              Bormann, C., "CBOR: On Deterministic Encoding and
              Representation", Work in Progress, Internet-Draft, draft-
              bormann-cbor-det-04, 21 January 2025,
              <https://datatracker.ietf.org/doc/html/draft-bormann-cbor-
              det-04>.

   [I-D.bormann-cbor-numbers]
              Bormann, C., "On Numbers in CBOR", Work in Progress,
              Internet-Draft, draft-bormann-cbor-numbers-02, 7 July
              2025, <https://datatracker.ietf.org/doc/html/draft-
              bormann-cbor-numbers-02>.

   [I-D.bormann-dispatch-modern-network-unicode]
              Bormann, C., "Modern Network Unicode", Work in Progress,
              Internet-Draft, draft-bormann-dispatch-modern-network-
              unicode-07, 30 August 2025,
              <https://datatracker.ietf.org/doc/html/draft-bormann-
              dispatch-modern-network-unicode-07>.

   [I-D.ietf-cbor-edn-literals]
              Bormann, C., "CBOR Extended Diagnostic Notation (EDN)",
              Work in Progress, Internet-Draft, draft-ietf-cbor-edn-
              literals-18, 7 July 2025,
              <https://datatracker.ietf.org/doc/html/draft-ietf-cbor-
              edn-literals-18>.

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   [I-D.mcnally-deterministic-cbor]
              McNally, W., Allen, C., Bormann, C., and L. Lundblade,
              "dCBOR: A Deterministic CBOR Application Profile", Work in
              Progress, Internet-Draft, draft-mcnally-deterministic-
              cbor-13, 10 August 2025,
              <https://datatracker.ietf.org/doc/html/draft-mcnally-
              deterministic-cbor-13>.

   [RFC7493]  Bray, T., Ed., "The I-JSON Message Format", RFC 7493,
              DOI 10.17487/RFC7493, March 2015,
              <https://www.rfc-editor.org/rfc/rfc7493>.

   [RFC8392]  Jones, M., Wahlstroem, E., Erdtman, S., and H. Tschofenig,
              "CBOR Web Token (CWT)", RFC 8392, DOI 10.17487/RFC8392,
              May 2018, <https://www.rfc-editor.org/rfc/rfc8392>.

   [RFC9581]  Bormann, C., Gamari, B., and H. Birkholz, "Concise Binary
              Object Representation (CBOR) Tags for Time, Duration, and
              Period", RFC 9581, DOI 10.17487/RFC9581, August 2024,
              <https://www.rfc-editor.org/rfc/rfc9581>.

   [RFC9679]  Isobe, K., Tschofenig, H., and O. Steele, "CBOR Object
              Signing and Encryption (COSE) Key Thumbprint", RFC 9679,
              DOI 10.17487/RFC9679, December 2024,
              <https://www.rfc-editor.org/rfc/rfc9679>.

   [RFC9741]  Bormann, C., "Concise Data Definition Language (CDDL):
              Additional Control Operators for the Conversion and
              Processing of Text", RFC 9741, DOI 10.17487/RFC9741, March
              2025, <https://www.rfc-editor.org/rfc/rfc9741>.

   [STD96]    Internet Standard 96,
              <https://www.rfc-editor.org/info/std96>.
              At the time of writing, this STD comprises the following:

              Schaad, J., "CBOR Object Signing and Encryption (COSE):
              Structures and Process", STD 96, RFC 9052,
              DOI 10.17487/RFC9052, August 2022,
              <https://www.rfc-editor.org/info/rfc9052>.

              Schaad, J., "CBOR Object Signing and Encryption (COSE):
              Countersignatures", STD 96, RFC 9338,
              DOI 10.17487/RFC9338, December 2022,
              <https://www.rfc-editor.org/info/rfc9338>.

   [UAX-15]   "Unicode Normalization Forms", Unicode Standard Annex,
              <https://unicode.org/reports/tr15/>.

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Appendix A.  Information Model, Data Model and Serialization

   This appendix is informative.

   For a good understanding of this document, it is helpful to
   understand the difference between an information model, a data model
   and serialization.

   +=============+============+==============+=========+==============+
   |             |Abstraction |Example       |Standards|Implementation|
   |             |Level       |              |         |Representation|
   +=============+============+==============+=========+==============+
   |Information  |Top level;  |The           |         |              |
   |Model        |conceptual  |temperature of|         |              |
   |             |            |something     |         |              |
   +-------------+------------+--------------+---------+--------------+
   |Data Model   |Realization |A floating-   |CDDL     |API input to  |
   |             |of          |point number  |         |CBOR encoder  |
   |             |information |representing  |         |library,      |
   |             |in data     |the           |         |output from   |
   |             |structures  |temperature   |         |CBOR decoder  |
   |             |and data    |              |         |library       |
   |             |types       |              |         |              |
   +-------------+------------+--------------+---------+--------------+
   |Serialization|Actual bytes|Encoded CBOR  |CBOR     |Encoded CBOR  |
   |             |encoded for |of a floating-|         |in memory or  |
   |             |transmission|point number  |         |for           |
   |             |            |              |         |transmission  |
   +-------------+------------+--------------+---------+--------------+

        Table 3: A three-layer model of information representation

   CBOR does not provide facilities for expressing information models.
   They are mentioned here for completeness and to provide some context.

   CBOR defines a palette of basic data items that can be grouped into
   data types such as the usual integer or floating-point numbers, text
   or byte strings, arrays and maps, and certain special "simple values"
   such as Booleans and null.  Extended data types may be constructed
   from these basic types.  These basic and extended types are used to
   construct the data model of a CBOR protocol.  One notation that is
   often used for describing the data model of a CBOR protocol is CDDL
   [RFC8610].  The various types of data items in the data model are
   serialized per RFC 8949 [STD94] to create encoded CBOR data items.

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A.1.  Data Model, Encoding Variants and Interoperability with Partial
      Implementations

   In contrast to JSON, CBOR-related documents explicitly discuss the
   data model separately from its serialization.  Both JSON and CBOR
   allow variation in the way some data items can be serialized:

   *  In JSON, the number 1 can be serialized in several different ways
      (1, 0.1e1, 1.0, 1.00, 100e-2) — while it may seem obvious to use 1
      for this case, this is less clear for
      1000000000000000000000000000000 vs. 1e+30 or 1e30.  (As its
      serialization also doubles as a human-readable interface, JSON
      also allows the introduction of blank space for readability.)  The
      lack of an agreed data model for JSON led to the need for a
      complementary specification documenting an interoperable subset
      [RFC7493].

   *  The CBOR standard addresses constrained environments, both by
      being concise and by limiting variation, but also by conversely
      allowing certain data items in the data model to be serialized in
      multiple ways, which may ease implementation on low-resource
      platforms.  On the other hand, constrained environments may
      further save resources by only partially implementing the decoder
      functionality, e.g., by not implementing all those variations.

   Note that partial implementations of a representation format are
   quite common in embedded applications.  Protocols for embedded
   applications often reduce the footprint of an embedded JSON
   implementation by explicitly restricting the breadth of the data
   model, e.g., by not using floating point numbers with 64 bits of
   precision or by not using floating point numbers at all.  These data-
   model-level restrictions do not get in the way of using complete
   implementations ("generic encoders/decoders", Section 5.2 of RFC 8949
   [STD94]).

   Intended as as a routine way for encoders to deal with this encoding
   variability exhibited by certain data items, CBOR defines a
   _Preferred Serialization_ (Section 4.1 of RFC 8949 [STD94]). _Partial
   CBOR implementations_ are more likely to interoperate if their
   encoder uses Preferred Serialization and the decoder implements
   decoding at least the Preferred Serialization for the data items
   supported.  On the other hand, a specific protocol for a constrained
   application may specify restrictions that for instance allow or even
   specify some fields to be of fixed length, leaving the envelope of
   Preferred Serialization, but guaranteeing interoperability even with
   partial implementations optimized for this application.

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   Another encoding variation is provided by indefinite-length encoding
   for strings, arrays, and maps, which enables these to be streamed
   without knowing their length upfront (Section 3.2 of RFC 8949
   [STD94]).  For applications that do not perform streaming of this
   kind, variation can be reduced (and often performance improved) by
   only allowing definite-length encoding, as in the encoding constraint
   definite-length-only.

   The Common Deterministic Encoding, CDE, finally combines preferred-
   serialization and definite-length-only with a deterministic ordering
   of entries in a map (lexicographic-map-sorting, see also Table 1).

   (Note that applications may need to complement deterministic encoding
   with decisions on the deterministic representation of application
   data into CBOR data items, see Appendix B.)

   Encoding constraints (unconstrained well-formed, preferred-
   serialization, definite-length-only, cde) are orthogonal to data-
   model-level data definitions as provided by [RFC8610].  To be useful
   in all applications, these constraints have been defined for all
   possible data items, covering the full range of values offered by
   CBOR's data types.  This ensures that these serialization constraints
   can be applied to any CBOR protocol, without requiring protocol-
   specific modifications to generic encoder/decoder implementations.

Appendix B.  Application-level Deterministic Representation

   This appendix is informative.

   CBOR application protocols are agreements about how to use CBOR for a
   specific application or set of applications.

   For a CBOR protocol to provide deterministic representation, both the
   encoding and application layer must be deterministic.  While CDE
   ensures determinism at the encoding layer, requirements at the
   application layer may also be necessary.

   Application protocols make representation decisions in order to
   constrain the variety of ways in which some aspect of the information
   model could be represented in the CBOR data model for the
   application.  For instance, there are several CBOR tags that can be
   used to represent a time stamp (such as tag 0, 1, 1001), each with
   some specific properties.

      |  For example, an application protocol that needs to represent
      |  birthdate/times could specify:
      |  

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      |     *  At the sender’s convenience, the birthdate/time MAY be
      |        sent either in epoch date format (as in tag 1) or string
      |        date format (as in tag 0).
      |  
      |     *  The receiver MUST decode both formats.
      |  
      |  While this specification is interoperable, it lacks
      |  determinism.  There is variability in the application layer
      |  akin to variability in the CBOR encoding layer when CDE is not
      |  required.
      |  
      |  To make this example application layer specification
      |  deterministic, allow only one date format (or at least be
      |  deterministic when there is a choice, e.g., by specifying
      |  string format for leap seconds only).

   Application protocols that need to represent a timestamp typically
   choose a specific tag and further constrain its use where necessary
   (e.g., tag 1001 was designed to cover a wide variety of applications
   [RFC9581]).  Where no tag is available, the application protocol can
   design its own format for some application data.  Even where a tag is
   available, the application data can choose to use its definitions
   without actually encoding the tag (e.g., by using its content in
   specific places in an "unwrapped" form).

   Another source of application layer variability comes from the
   variety of number types CBOR offers.  For instance, the number 2 can
   be represented as an integer, float, big number, decimal fraction and
   other.  Most protocols designs will just specify one number type to
   use, and that will give determinism, but here’s an example
   specification that doesn’t:

      |  For instance, CWT [RFC8392] defines an application data type
      |  "NumericDate" which (as an application-level rule) is formed by
      |  "unwrapping" tag 1 (see Sections 2 and 5 of [RFC8392]).  CWT
      |  does stop short of using deterministic encoding.  A
      |  hypothetical deterministic variant of CWT would need to make an
      |  additional ALDR rule for NumericDate, as the definition of tag
      |  1 allows both integer and floating point numbers (Section 3.4.2
      |  of RFC 8949 [STD94]), which allows multiple application-level
      |  representations of integral numbers.  These application rules
      |  may choose to only ever use integers, or to always use integers
      |  when the numeric value can be represented as such without loss
      |  of information, or to always use floating point numbers, or
      |  some of these for some application data and different ones for
      |  other application data.

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   Applications that require Deterministic Representation, and that
   derive CBOR data items from application data without maintaining a
   record of which choices are to be made when representing these
   application data, generally make rules for these choices as part of
   the application protocol.  In this document, we speak about these
   choices as Application-level Deterministic Representation Rules (ALDR
   rules for short).

      |  As an example, [RFC9679] is intended to derive a
      |  (deterministic) thumbprint from a COSE key [STD96].  Section 4
      |  of [RFC9679] provides the rules that are used to construct a
      |  deterministic application-level representation (ALDR rules).
      |  Only certain data from a COSE key are selected to be included
      |  in that ALDR, and, where the COSE can choose multiple
      |  representations of semantically equivalent application data,
      |  the ALDR rules choose one of them, potentially requiring a
      |  conversion (Section 4.2 of [RFC9679]):
      |  
      |     |  Note: [RFC9052] supports both compressed and uncompressed
      |     |  point representations.  For interoperability,
      |     |  implementations adhering to this specification MUST use
      |     |  the uncompressed point representation.  Therefore, the
      |     |  y-coordinate is expressed as a bstr.  If an
      |     |  implementation uses the compressed point representation,
      |     |  it MUST first convert it to the uncompressed form for the
      |     |  purpose of thumbprint calculation.

   CDE provides for encoding commonality between different applications
   of CBOR once these application-level choices have been made.  It can
   be useful for an application or a group of applications to document
   their choices aimed at deterministic representation of application
   data in a general way, constraining the set of data items handled
   (_exclusions_, e.g., no compressed point representations) and
   defining further mappings (_reductions_, e.g., conversions to
   uncompressed form) that help the application(s) get by with the
   exclusions.  This can be done in the application protocol
   specification (as in [RFC9679]) or as a separate document.

      |  An early example of a separate document is the dCBOR
      |  specification [I-D.mcnally-deterministic-cbor]. dCBOR specifies
      |  the use of CDE together with some application-level rules,
      |  i.e., an ALDR ruleset, such as a requirement for all text
      |  strings to be in Unicode Normalization Form C (NFC) [UAX-15] —
      |  this specific requirement is an example for an _exclusion_ of
      |  non-NFC data at the application level, and it invites
      |  implementing a _reduction_ by routine normalization of text
      |  strings.

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   ALDR rules (including rules specified in a ALDR ruleset document)
   enable simply using implementations of the common CDE; they do not
   "fork" CBOR in the sense of requiring distinct generic encoder/
   decoder implementations for each application.

   An implementation of specific ALDR rules combined with a CDE
   implementation produces well-formed, deterministically encoded CBOR
   according to [STD94], and existing generic CBOR decoders will
   therefore be able to decode it, including those that check for
   Deterministic Encoding ("CDE-checking decoders", see also
   Appendix C).  Similarly, generic CBOR encoders will be able to
   produce valid CBOR that can be ingested by an implementation that
   enforces an application's ALDR rules if the encoder was handed data
   model level information from an application that simply conformed to
   those ALDR rules.

   Please note that the separation between standard CBOR processing and
   the processing required by the ALDR rules is a conceptual one:
   Instead of employing generic encoders/decoders, both ALDR rule
   processing and standard CBOR processing can be combined into a
   specialized encoder/decoder specifically designed for a particular
   set of ALDR rules.

   ALDR rules are intended to be used in conjunction with an
   application, which typically will naturally use a subset of the CBOR
   generic data model, which in turn influences which subset of the ALDR
   rules is used by the specific application (in particular if the
   application simply references a more general ALDR ruleset document).
   As a result, ALDR rules themselves place no direct requirement on
   what minimum subset of CBOR is implemented.  For instance, a set of
   ALDR rules might include rules for the processing of floating point
   values, but there is no requirement that implementations of that set
   of ALDR rules support floating point numbers (or any other kind of
   number, such as arbitrary precision integers or 64-bit negative
   integers) when they are used with applications that do not use them.

Appendix C.  Implementers' Checklists

   This appendix is informative.  It provides brief checklists that
   implementers can use to check their implementations.  It uses RFC2119
   language, specifically the keyword MUST, to highlight the specific
   items that implementers may want to check.  It does not contain any
   normative mandates.  This appendix is informative.

   Notes:

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   *  This is largely a restatement of parts of Section 4 of RFC 8949
      [STD94].  The purpose of the restatement is to aid the work of
      implementers, not to redefine anything.

      Preferred Serialization Encoders as well as CDE Encoders and CDE-
      checking Decoders have certain properties that are expressed using
      RFC2119 keywords in this appendix.

   *  Duplicate map keys are never valid in CBOR at all (see list item
      "Major type 5" in Section 3.1 of RFC 8949 [STD94]) no matter what
      sort of serialization is used.  Of the various strategies listed
      in Section 5.6 of RFC 8949 [STD94], detecting duplicates and
      handling them as an error instead of passing invalid data to the
      application is the most robust one; achieving this level of
      robustness is a mark of quality of implementation.

   *  Preferred serialization and CDE only affect serialization.  They
      do not place any requirements, exclusions, mappings or such on the
      data model level.  ALDR rules such as the ALDR ruleset defined by
      dCBOR are different as they can affect the data model by
      restricting some values and ranges.

   *  CBOR decoders in general (as opposed to "CDE-checking decoders"
      specifically advertised as supporting CDE) are not required to
      check for preferred serialization or CDE and reject inputs that do
      not fulfill these requirements.  However, in an environment that
      employs deterministic encoding, employing non-checking CBOR
      decoders negates many of its benefits.  Decoder implementations
      that advertise "support" for preferred serialization or CDE need
      to check the encoding and reject input that is not encoded to the
      encoding specification in use.  Again, ALDR rules such as those in
      dCBOR may pose additional requirements, such as requiring
      rejection of non-conforming inputs.

      If a generic decoder needs to be used that does not "support" CDE,
      a simple (but somewhat clumsy) way to check its input for proper
      CDE encoding is to re-encode the decoded data with CDE and check
      for bit-to-bit equality with the original input.

C.1.  Preferred Serialization

   In the following, the abbreviation "ai" will be used for the 5-bit
   additional information field in the first byte of an encoded CBOR
   data item, which follows the 3-bit field for the major type.

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C.1.1.  Preferred Serialization Encoders

   1.  Shortest-form encoding of the argument MUST be used for all major
       types (shortest-head constraint).  Major type 7 is used for
       floating-point and simple values; floating point values have its
       specific rules for how the shortest form is derived for the
       argument.  The shortest form encoding for any argument that is
       not a floating point value is:

       *  0 to 23 and -1 to -24 MUST be encoded in the same byte as the
          major type.

       *  24 to 255 and -25 to -256 MUST be encoded only with one
          additional byte (ai = 0x18).

       *  256 to 65535 and -257 to -65536 MUST be encoded only with an
          additional two bytes (ai = 0x19).

       *  65536 to 4294967295 and -65537 to -4294967296 MUST be encoded
          only with an additional four bytes (ai = 0x1a).

   2.  If floating-point numbers are emitted, the following apply:

       *  The length of the argument indicates half (binary16, ai =
          0x19), single (binary32, ai = 0x1a) and double (binary64, ai =
          0x1b) precision encoding.  If multiple of these encodings
          preserve the precision of the value to be encoded, only the
          shortest form of these MUST be emitted.  That is, encoders
          MUST support half-precision and single-precision floating
          point.

       *  [IEEE754] Infinites and NaNs, and thus NaN payloads, MUST be
          supported, to the extent possible on the platform.

          As with all floating point numbers, Infinites and NaNs MUST be
          encoded in the shortest of double, single or half precision
          that preserves the value:

          -  Positive and negative infinity and zero MUST be represented
             in half-precision floating point.

          -  For NaNs, the value to be preserved includes the sign bit,
             the quiet bit, and the NaN payload (whether zero or non-
             zero).  The shortest form is obtained by removing the
             rightmost N bits of the payload, where N is the difference
             in the number of bits in the significand (mantissa
             representation) between the original format and the
             shortest format.  This trimming is performed only

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             (preserves the value only) if all the rightmost bits
             removed are zero.  (This means that a double or single
             quiet NaN that has a zero NaN payload will always be
             represented in a half-precision quiet NaN.)

   3.  If tags 2 and 3 are supported, the following apply:

       *  Positive integers from 0 to 2^64 - 1 MUST be encoded as a type
          0 integer.

       *  Negative integers from -(2^64) to -1 MUST be encoded as a type
          1 integer.

       *  Leading zeros MUST NOT be present in the byte string content
          of tag 2 and 3.

       (This also applies to the use of tags 2 and 3 within other tags,
       such as 4 or 5.)

C.1.2.  Decoders and Preferred Serialization

   There are no special requirements that CBOR decoders need to meet to
   be what could be called a "Preferred Serialization Decoder".

   Partial decoder implementations that want to accept at least
   Preferred Serialization need to pay attention to at least the
   following requirements:

   1.  Decoders MUST accept shortest-form encoded arguments (see
       Section 3 of RFC 8949 [STD94]).

   2.  If arrays or maps are supported, both definite-length and
       indefinite-length arrays or maps MUST be accepted.

   3.  If text or byte strings are supported, both definite-length and
       indefinite-length text or byte strings MUST be accepted.

   4.  If floating-point numbers are supported, the following apply:

       *  Half-precision values MUST be accepted.

       *  Double- and single-precision values SHOULD be accepted;
          leaving these out is only foreseen for decoders that need to
          work in exceptionally constrained environments.

       *  If double-precision values are accepted, single-precision
          values MUST be accepted.

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       *  Infinites and NaNs, and thus NaN payloads, MUST be accepted
          and presented to the application (not necessarily in the
          platform number format, if that doesn't support those values).

   5.  If big numbers (tags 2 and 3) are supported, type 0 and type 1
       integers MUST be accepted where a tag 2 or 3 would be accepted.
       Leading zero bytes in the tag content of a tag 2 or 3 MUST be
       ignored.

C.2.  definite-length-only

   The encoding constraint definite-length-only excludes the use of
   indefinite length encoding, both for (binary/text) strings and for
   arrays and maps.  A CBOR encoder can choose to employ this encoding
   constraint in order to reduce the variability that needs to be
   handled by decoders, potentially maximizing interoperability with
   partial (e.g., constrained) CBOR decoder implementations.  A popular
   partial implementation of a CBOR decoder would be to not support
   indefinite length encoding, requiring the encoder to implement
   definite-length-only encoding.

      |  Some encoders turn to indefinite length encoding for arrays and
      |  maps with 256 or more elements/entries, to use the slightly
      |  smaller serialization size indefinite length encoding offers
      |  for these cases.  Since leaving out support for indefinite
      |  length encoding is a common form of partial implementation,
      |  this may reduce interoperability.  (Indefinite length encoding
      |  may also be used conditionally to avoid having to compute the
      |  total size ahead of time if the platform uses some form of
      |  chunking.)  As CDE requires definite-length-only, such behavior
      |  needs to be turned off for CDE.

C.3.  CDE

C.3.1.  CDE Encoders

   1.  CDE encoders MUST only emit CBOR that fulfills the encoding
       constraints preferred-serialization and definite-length-only.

   2.  CDE encoders MUST only emit CBOR that fulfills the encoding
       constraints lexicographic-map-sorting, i.e., sort maps by the
       CBOR representation of the map key.  The sorting is byte-wise
       lexicographic order of the encoded map key data items.

   3.  CDE encoders MUST generate CBOR that fulfills basic validity
       (Section 5.3.1 of RFC 8949 [STD94]).  Note that this includes not
       emitting duplicate keys in a major type 5 map as well as emitting
       only valid UTF-8 in major type 3 text strings.

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       Note also that CDE does NOT include a requirement for Unicode
       normalization [UAX-15]; Appendix C of
       [I-D.bormann-dispatch-modern-network-unicode] contains some
       rationale that went into not requiring routine use of Unicode
       normalization processes.

C.3.2.  CDE-checking Decoders

   The term "CDE-checking Decoder" is a shorthand for a CBOR decoder
   that advertises _supporting_ CDE (see the start of this appendix).

   1.  CDE-checking decoders MUST check the input for keeping the
       preferred-serialization and definite-length-only encoding
       constraints.

   2.  CDE-checking decoders MUST check the input for keeping the
       lexicographic-map-sorting encoding constraints, i.e., they need
       to check for strict ordering of map (major type 5) entries by
       lexicographically comparing their keys (including rejecting
       duplicate map keys).

   3.  To complete checking for basic validity of the CBOR encoding (see
       Section 5.3.1 of RFC 8949 [STD94], CDE-checking decoders MUST
       check the validity of the UTF-8 encoding of text strings (major
       type 3).

   To be called a CDE-checking decoder, it MUST NOT present to the
   application a decoded data item that fails one of these checks
   (except maybe via special diagnostic channels with no potential for
   confusion with a correctly CDE-decoded data item).

Appendix D.  Encoding Examples

   The following three tables provide examples of CDE-encoded CBOR data
   items, each giving Diagnostic Notation (EDN
   [I-D.ietf-cbor-edn-literals]), the encoded data item in hexadecimal,
   and a comment:

   *  The comments use f16, f32, and f64 as abbreviations for 16-bit
      float (half precision, C language _Float16), 32-bit float (single
      precision, C language _Float32, fits in float), and 64-bit float
      (double precision, C language _Float64, fits in double),
      respectively, as well as qNaN for quiet NaN and sNaN for signaling
      NaN.

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   *  As there is no established EDN for notating NaNs with non-zero
      payloads at the time of writing, this table uses float'hex', where
      hex is a hexadecimal representation of the IEEE 754 interchange
      format for the NaN value.

   Implementers that want to use these examples as test input may be
   interested in the file example-table-input.csv in the github
   repository cbor-wg/draft-ietf-cbor-cde.

D.1.  CDE: Integer Value Examples

    +-----------------------+------------------------+----------------+
    | EDN                   | CBOR (hex)             | Comment        |
    +-----------------------+------------------------+----------------+
    | 0                     | 00                     | Smallest       |
    |                       |                        | unsigned       |
    |                       |                        | immediate int  |
    | -1                    | 20                     | Largest        |
    |                       |                        | negative       |
    |                       |                        | immediate int  |
    | 23                    | 17                     | Largest        |
    |                       |                        | unsigned       |
    |                       |                        | immediate int  |
    | -24                   | 37                     | Smallest       |
    |                       |                        | negative       |
    |                       |                        | immediate int  |
    | 24                    | 1818                   | Smallest       |
    |                       |                        | unsigned one-  |
    |                       |                        | byte int       |
    | -25                   | 3818                   | Largest        |
    |                       |                        | negative one-  |
    |                       |                        | byte int       |
    | 255                   | 18ff                   | Largest        |
    |                       |                        | unsigned one-  |
    |                       |                        | byte int       |
    | -256                  | 38ff                   | Smallest       |
    |                       |                        | negative one-  |
    |                       |                        | byte int       |
    | 256                   | 190100                 | Smallest       |
    |                       |                        | unsigned two-  |
    |                       |                        | byte int       |
    | -257                  | 390100                 | Largest        |
    |                       |                        | negative two-  |
    |                       |                        | byte int       |
    | 65535                 | 19ffff                 | Largest        |
    |                       |                        | unsigned two-  |
    |                       |                        | byte int       |
    | -65536                | 39ffff                 | Smallest       |

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    |                       |                        | negative two-  |
    |                       |                        | byte int       |
    | 65536                 | 1a00010000             | Smallest       |
    |                       |                        | unsigned four- |
    |                       |                        | byte int       |
    | -65537                | 3a00010000             | Largest        |
    |                       |                        | negative four- |
    |                       |                        | byte int       |
    | 4294967295            | 1affffffff             | Largest        |
    |                       |                        | unsigned four- |
    |                       |                        | byte int       |
    | -4294967296           | 3affffffff             | Smallest       |
    |                       |                        | negative four- |
    |                       |                        | byte int       |
    | 4294967296            | 1b0000000100000000     | Smallest       |
    |                       |                        | unsigned       |
    |                       |                        | eight-byte int |
    | -4294967297           | 3b0000000100000000     | Largest        |
    |                       |                        | negative       |
    |                       |                        | eight-byte int |
    | 18446744073709551615  | 1bffffffffffffffff     | Largest        |
    |                       |                        | unsigned       |
    |                       |                        | eight-byte int |
    | -18446744073709551616 | 3bffffffffffffffff     | Smallest       |
    |                       |                        | negative       |
    |                       |                        | eight-byte int |
    | 18446744073709551616  | c249010000000000000000 | Smallest       |
    |                       |                        | unsigned       |
    |                       |                        | bignum         |
    | -18446744073709551617 | c349010000000000000000 | Largest        |
    |                       |                        | negative       |
    |                       |                        | bignum         |
    +-----------------------+------------------------+----------------+

                    Table 4: CDE: Integer Value Examples

D.2.  CDE: Floating Point Value Examples

   +---------------------------+--------------------+------------------+
   | EDN                       | CBOR (hex)         | Comment          |
   +---------------------------+--------------------+------------------+
   | 0.0                       | f90000             | Zero             |
   | -0.0                      | f98000             | Negative zero    |
   | Infinity                  | f97c00             | Infinity         |
   | -Infinity                 | f9fc00             | -Infinity        |
   | NaN                       | f97e00             | NaN with zero    |
   |                           |                    | payload (see     |
   |                           |                    | further down     |

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   |                           |                    | for more NaN     |
   |                           |                    | examples)        |
   | 5.960464477539063e-8      | f90001             | Smallest         |
   |                           |                    | positive f16     |
   |                           |                    | (subnormal)      |
   | 0.00006097555160522461    | f903ff             | Largest          |
   |                           |                    | positive         |
   |                           |                    | subnormal f16    |
   | 0.00006103515625          | f90400             | Smallest non-    |
   |                           |                    | subnormal        |
   |                           |                    | positive f16     |
   | 65504.0                   | f97bff             | Largest          |
   |                           |                    | positive f16     |
   | 1.401298464324817e-45     | fa00000001         | Smallest         |
   |                           |                    | positive f32     |
   |                           |                    | (subnormal)      |
   | 1.1754942106924411e-38    | fa007fffff         | Largest          |
   |                           |                    | positive         |
   |                           |                    | subnormal f32    |
   | 1.1754943508222875e-38    | fa00800000         | Smallest non-    |
   |                           |                    | subnormal        |
   |                           |                    | positive f32     |
   | 3.4028234663852886e+38    | fa7f7fffff         | Largest          |
   |                           |                    | positive f32     |
   | 5.0e-324                  | fb0000000000000001 | Smallest         |
   |                           |                    | positive f64     |
   |                           |                    | (subnormal)      |
   | 2.225073858507201e-308    | fb000fffffffffffff | Largest          |
   |                           |                    | positive         |
   |                           |                    | subnormal f64    |
   | 2.2250738585072014e-308   | fb0010000000000000 | Smallest non-    |
   |                           |                    | subnormal        |
   |                           |                    | positive f64     |
   | 1.7976931348623157e+308   | fb7fefffffffffffff | Largest          |
   |                           |                    | positive f64     |
   | -0.0000033333333333333333 | fbbecbf647612f3696 | Arbitrarily      |
   |                           |                    | selected         |
   |                           |                    | number           |
   | 10.559998512268066        | fa4128f5c1         | -"-              |
   | 10.559998512268068        | fb40251eb820000001 | Next in          |
   |                           |                    | succession       |
   | 295147905179352830000.0   | fa61800000         | 2^68             |
   |                           |                    | (diagnostic      |
   |                           |                    | notation         |
   |                           |                    | truncates        |
   |                           |                    | precision)       |
   | 2.0                       | f94000             | Number           |
   |                           |                    | without a        |

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   |                           |                    | fractional       |
   |                           |                    | part             |
   | -5.960464477539063e-8     | f98001             | Largest          |
   |                           |                    | negative         |
   |                           |                    | subnormal f16    |
   | -5.960464477539062e-8     | fbbe6fffffffffffff | Adjacent to      |
   |                           |                    | largest          |
   |                           |                    | negative         |
   |                           |                    | subnormal f16    |
   | -5.960464477539064e-8     | fbbe70000000000001 | -"-              |
   | -5.960465188081798e-8     | fab3800001         | -"-              |
   | 0.0000609755516052246     | fb3f0ff7ffffffffff | Adjacent to      |
   |                           |                    | largest          |
   |                           |                    | subnormal f16    |
   | 0.000060975551605224616   | fb3f0ff80000000001 | -"-              |
   | 0.000060975555243203416   | fa387fc001         | -"-              |
   | 0.00006103515624999999    | fb3f0fffffffffffff | Adjacent to      |
   |                           |                    | smallest f16     |
   | 0.00006103515625000001    | fb3f10000000000001 | -"-              |
   | 0.00006103516352595761    | fa38800001         | -"-              |
   | 65503.99999999999         | fb40effbffffffffff | Adjacent to      |
   |                           |                    | largest f16      |
   | 65504.00000000001         | fb40effc0000000001 | -"-              |
   | 65504.00390625            | fa477fe001         | -"-              |
   | 1.4012984643248169e-45    | fb369fffffffffffff | Adjacent to      |
   |                           |                    | smallest         |
   |                           |                    | subnormal f32    |
   | 1.4012984643248174e-45    | fb36a0000000000001 | -"-              |
   | 1.175494210692441e-38     | fb380fffffbfffffff | Adjacent to      |
   |                           |                    | largest          |
   |                           |                    | subnormal f32    |
   | 1.1754942106924412e-38    | fb380fffffc0000001 | -"-              |
   | 1.1754943508222874e-38    | fb380fffffffffffff | Adjacent to      |
   |                           |                    | smallest f32     |
   | 1.1754943508222878e-38    | fb3810000000000001 | -"-              |
   | 3.4028234663852882e+38    | fb47efffffdfffffff | Adjacent to      |
   |                           |                    | largest f32      |
   | 3.402823466385289e+38     | fb47efffffe0000001 | -"-              |
   | float'7e01'               | f97e01             | f16 qNaN with    |
   |                           |                    | non-zero         |
   |                           |                    | payload          |
   | float'7f800001'           | fa7f800001         | f32 sNan with    |
   |                           |                    | payload of       |
   |                           |                    | rightmost bit    |
   |                           |                    | set -- no        |
   |                           |                    | shorter          |
   |                           |                    | encoding         |
   | float'7fbfe000'           | f97dff             | f32 sNaN with    |

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   |                           |                    | 9 bit payload    |
   |                           |                    | -- shortens      |
   |                           |                    | to f16           |
   | float'7fbff000'           | fa7fbff000         | f32 sNaN with    |
   |                           |                    | 10 bit           |
   |                           |                    | payload -- no    |
   |                           |                    | shorter          |
   |                           |                    | encoding         |
   | float'7fc00000'           | f97e00             | f32 qNaN with    |
   |                           |                    | zero payload     |
   |                           |                    | -- shortens      |
   |                           |                    | to f16           |
   | float'7ff0000000000001'   | fb7ff0000000000001 | f64 sNaN with    |
   |                           |                    | payload of       |
   |                           |                    | rightmost bit    |
   |                           |                    | set -- no        |
   |                           |                    | shorter          |
   |                           |                    | encoding         |
   | float'7ff00000000003ff'   | fb7ff00000000003ff | f64 sNaN with    |
   |                           |                    | 10 rightmost     |
   |                           |                    | payload bits     |
   |                           |                    | set -- no        |
   |                           |                    | shorter          |
   |                           |                    | encoding         |
   | float'7ff0000020000000'   | fa7f800001         | f64 sNaN with    |
   |                           |                    | 23rd leftmost    |
   |                           |                    | payload bit      |
   |                           |                    | set --           |
   |                           |                    | shortens to      |
   |                           |                    | f32              |
   | float'7ff43d7c40000000'   | fa7fa1ebe2         | f64 sNaN with    |
   |                           |                    | randomly         |
   |                           |                    | chosen bit       |
   |                           |                    | pattern --       |
   |                           |                    | shortens to      |
   |                           |                    | f32              |
   | float'7ff7fffff0000000'   | fb7ff7fffff0000000 | f64 sNaN with    |
   |                           |                    | 23 leftmost      |
   |                           |                    | payload bits     |
   |                           |                    | set -- no        |
   |                           |                    | shorter          |
   |                           |                    | encoding         |
   | float'7ff8000000000000'   | f97e00             | f64 qNaN --      |
   |                           |                    | shortens to      |
   |                           |                    | f16              |
   | float'7fffe000'           | f97fff             | f32 qNaN with    |
   |                           |                    | 9 bit payload    |
   |                           |                    | -- shortens      |

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   |                           |                    | to f16           |
   | float'7ffff000'           | fa7ffff000         | f32 qNaN with    |
   |                           |                    | 10 bit           |
   |                           |                    | payload -- no    |
   |                           |                    | shorter          |
   |                           |                    | encoding         |
   | float'7ffffc0000000000'   | f97fff             | f64 qNaN with    |
   |                           |                    | 9 leftmost       |
   |                           |                    | payload bits     |
   |                           |                    | set --           |
   |                           |                    | shortens to      |
   |                           |                    | f16              |
   | float'7fffffffe0000000'   | fa7fffffff         | f64 qNaN with    |
   |                           |                    | 22 leftmost      |
   |                           |                    | payload bits     |
   |                           |                    | set --           |
   |                           |                    | shortens to      |
   |                           |                    | f32              |
   | float'7fffffffffffffff'   | fb7fffffffffffffff | f64 qNaN with    |
   |                           |                    | all bits set     |
   |                           |                    | -- no shorter    |
   |                           |                    | encoding         |
   | float'fe00'               | f9fe00             | negative NaN     |
   |                           |                    | with zero        |
   |                           |                    | payload          |
   | float'fff0000000000001'   | fbfff0000000000001 | f64 negative     |
   |                           |                    | sNaN with        |
   |                           |                    | payload of       |
   |                           |                    | rightmost bit    |
   |                           |                    | set -- no        |
   |                           |                    | shorter          |
   |                           |                    | encoding         |
   | float'fff8000000000000'   | f9fe00             | f64 negative     |
   |                           |                    | qNaN with        |
   |                           |                    | zero payload     |
   |                           |                    | -- shortens      |
   |                           |                    | to f16           |
   | float'ffffffffe0000000'   | faffffffff         | f64 negative     |
   |                           |                    | qNaN with 22     |
   |                           |                    | leftmost         |
   |                           |                    | payload bits     |
   |                           |                    | set --           |
   |                           |                    | shortens to      |
   |                           |                    | f32              |
   +---------------------------+--------------------+------------------+

                Table 5: CDE: Floating Point Value Examples

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D.3.  Failing Examples: Not CDE

   +-----------------------+--------------------------+---------------+
   | EDN                   | CBOR (hex)               | Comment       |
   +-----------------------+--------------------------+---------------+
   | {"b":0,"a":1}         | a2616200616101           | Incorrect map |
   |                       |                          | key ordering  |
   | [4, 5]                | 98020405                 | Array length  |
   |                       |                          | not in        |
   |                       |                          | preferred     |
   |                       |                          | serialization |
   | 255                   | 1900ff                   | Integer not   |
   |                       |                          | in preferred  |
   |                       |                          | serialization |
   | -18446744073709551617 | c34a00010000000000000000 | Bignum with   |
   |                       |                          | leading zero  |
   |                       |                          | bytes         |
   | 10.5                  | fa41280000               | Not in        |
   |                       |                          | preferred     |
   |                       |                          | serialization |
   | NaN                   | fa7fc00000               | Not in        |
   |                       |                          | preferred     |
   |                       |                          | serialization |
   | 65536                 | c243010000               | Integer value |
   |                       |                          | too small for |
   |                       |                          | bignum        |
   | (_ h'01', h'0203')    | 5f4101420203ff           | Indefinite    |
   |                       |                          | length        |
   |                       |                          | encoding      |
   +-----------------------+--------------------------+---------------+

                    Table 6: Failing Examples: Not CDE

Appendix E.  Examples for Preferred Serialization of Integers

   This appendix looks at the set of encoded CBOR data items that
   represent the integer number 1.  Preferred Serialization chooses one
   of them (0x01), which is then always used to encode the number.  The
   CDE encoding constraints include those of preferred serialization.  A
   CDE-checking decoder checks that no other serialization is being used
   in the encoded data item being decoded.

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        +===================================+=====================+
        | Serialization of integer number 1 | Preferred?          |
        +===================================+=====================+
        | 0x01                              | yes (shortest mt0)  |
        +-----------------------------------+---------------------+
        | 0x1801, 0x190001, 0x1a00000001,   | no (mt0, but not    |
        | 0x1b0000000000000001              | shortest argument)  |
        +-----------------------------------+---------------------+
        | 0xc24101                          | no (could use mt0)  |
        +-----------------------------------+---------------------+
        | 0xc2420001, 0xc243000001, etc.    | no (could use mt0,  |
        |                                   | uses leading zeros) |
        +-----------------------------------+---------------------+
        | 0xc25f41004101ff, and similar     | no (could use mt0,  |
        |                                   | uses leading zeros) |
        +-----------------------------------+---------------------+

                Table 7: Serializations of integer number 1

   For the integer number 100000000000000000000 (1 with 20 decimal
   zeros), the only serialization that meets the preferred-serialization
   and definite-length-only constraints is:

   C2                       # tag(2)
      49                    # bytes(9)
         056BC75E2D63100000 #

   (Note that, in addition to this serialization, there are multiple
   serializations that would also count as _preferred_ serializations,
   as the preferred serialization constraint by itself does not exclude
   indefinite length encoding of the byte string that is the content of
   tag 2.)

Appendix F.  Example Code for Encoding into 16-bit Floating Point

   Appendix D (Half-Precision) of RFC 8949 [STD94] provides example C
   and Python code for decoding 16-bit ("Half Precision", binary16)
   floating point numbers.  Providing this code was considered important
   at the time to aid in the creation of generic decoders.

   Given that CDE implementations that support floating point Numbers
   not only need to decode, but also to encode their 16-bit format, this
   appendix provides example C code to convert a floating point number
   that is in 64-bit form ("Double Precision", binary64) into binary16.

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   If such a conversion is not possible (i.e., there is no 16-bit
   representation for the 64-bit value given), the function
   try_float16_encode returns -1.  Otherwise it returns a two-byte
   integer (range 0x0000 to 0xFFFF) that, prefixed with 0xF9, is
   suitable to encode the value.

   /* returns 0..0xFFFF if float16 encoding possible, -1 otherwise.
      b64 is a binary64 floating point as an unsigned long. */
   int try_float16_encode(unsigned long b64) {
     unsigned long s16 = b64 >> 48 & 0x8000UL;
     unsigned long mant = b64 & 0xfffffffffffffUL;
     unsigned long exp = b64 >> 52 & 0x7ffUL;
     if (exp == 0 && mant == 0)    /* f64 denorms are out of range */
       return s16;                 /* so handle 0.0 and -0.0 only */
     if (exp >= 999 && exp < 1009) { /* f16 denorm, exp16 = 0 */
       if (mant & ((1UL << (1051 - exp)) - 1))
         return -1;                /* bits lost in f16 denorm */
       return s16 + ((mant + 0x10000000000000UL) >> (1051 - exp));
     }
     if (mant & 0x3ffffffffffUL)   /* bits lost in f16 */
       return -1;
     if (exp >= 1009 && exp <= 1038) /* normalized f16 */
       return s16 + ((exp - 1008) << 10) + (mant >> 42);
     if (exp == 2047)              /* Inf, NaN */
       return s16 + 0x7c00 + (mant >> 42);
     return -1;
   }

           Figure 1: Example C Code for a Half-Precision Encoder

List of Figures

   Figure 1:  Example C Code for a Half-Precision Encoder

List of Tables

   Table 1:   Constraints on the Serialization of CBOR
   Table 2:   New control operators to be registered
   Table 3:   A three-layer model of information representation
   Table 4:   CDE: Integer Value Examples
   Table 5:   CDE: Floating Point Value Examples
   Table 6:   Failing Examples: Not CDE
   Table 7:   Serializations of integer number 1

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Acknowledgments

   An early version of this document was based on the work of Wolf
   McNally and Christopher Allen as documented in
   [I-D.mcnally-deterministic-cbor], which serves as an example for an
   ALDR ruleset document.  We would like to explicitly acknowledge that
   this work has contributed greatly to shaping the concept of a CBOR
   Common Deterministic Encoding and the use of ALDR rules/rulesets on
   top of that.  Mikolai Gütschow proposed adding Section 2.  Anders
   Rundgren provided most of the initial text that turned into
   Appendix D, Laurence Lundblade provided examples for "NaN" (not a
   number) floating point values.

Contributors

   Laurence Lundblade
   Security Theory LLC
   Email: lgl@securitytheory.com

   Laurence provided most of the text that became Appendix A and
   Appendix C.

Author's Address

   Carsten Bormann
   Universität Bremen TZI
   Postfach 330440
   D-28359 Bremen
   Germany
   Phone: +49-421-218-63921
   Email: cabo@tzi.org

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