<?xml version="1.0" encoding="utf-8"?>
<?xml-model href="rfc7991bis.rnc"?> encoding="UTF-8"?>

<!-- Required for schema
      validation and schema-aware editing pre-edited by ST 08/19/25 -->
<!-- formatted by ST 08/20/25 and 08/26/25-->

<!DOCTYPE rfc [
  <!ENTITY filename "draft-eastlake-fnv-35">
  <!ENTITY nbsp     "&#160;">
  <!ENTITY zwsp     "&#8203;">
  <!ENTITY nbhy     "&#8209;">
  <!ENTITY wj       "&#8288;">
]>
<!-- <?xml-stylesheet type="text/xsl" href="rfc2629.xslt" ?> -->
<!-- This third-party XSLT can be enabled for direct transformations
in XML processors, including most browsers -->
<!-- If further character entities are required then they should be
added to the DOCTYPE above. Use of an external entity file is not
recommended. -->
<?rfc strict="yes" ?>
<!-- give errors regarding ID-nits and DTD validation -->
<!-- control the table of contents (ToC) -->
<?rfc toc="yes"?>

<rfc xmlns:xi="http://www.w3.org/2001/XInclude" category="info"
  docName="&filename;" docName="draft-eastlake-fnv-35" number="9923" ipr="trust200902" obsoletes="" updates=""
  submissionType="IETF" submissionType="independent" xml:lang="en"
  version="3">
<!--
    * docName should be the name of your draft * category should be
    one of std, bcp, info, exp, historic * ipr should be one of
    trust200902, noModificationTrust200902, noDerivativesTrust200902,
    pre5378Trust200902 * updates can be an RFC number as NNNN *
    obsoletes can be an RFC number as NNNN
-->

<!-- ____________________FRONT_MATTER____________________ --> version="3" tocInclude="true" symRefs="true" sortRefs="true">

<front>
   <title abbrev="FNV">The FNV Non-Cryptographic Hash Algorithm</title>
   <!--  The abbreviated title is required if the full title is
        longer than 39 characters -->
   <seriesInfo name="Internet-Draft"
               value="&filename;"/> name="RFC" value="9923"/>

   <author fullname="Glenn S. Fowler" initials="G." surname="Fowler">
     <organization>Google</organization>
     <address>
       <email>glenn.s.fowler@gmail.com</email>
     </address>
   </author>

   <author fullname="Landon Curt Noll" initials="L." surname="Noll">
     <organization>Cisco Systems</organization>
     <address>
       <postal>
         <street>170 West Tasman Drive</street>
         <city>San Jose</city>
         <region>California</region>
         <code>95134</code>
         <country>USA</country>
         <country>United States of America</country>
       </postal>
       <phone>+1-408-424-1102</phone>
       <email>fnv-ietf7-mail@asthe.com</email>
       <email>fnv-ietf8-mail@asthe.com</email>
       <uri>http://www.isthe.com/chongo/index.html</uri>
     </address>
   </author>

   <author fullname="Kiem-Phong Vo" initials="K." surname="Vo">
     <organization>Google</organization>
     <address>
       <email>phongvo@gmail.com</email>
     </address>
   </author>

   <author fullname="Donald E. Eastlake 3rd" initials="D."
           surname="Eastlake"> surname="Eastlake 3rd">
     <organization>Independent</organization>
     <address>
       <postal>
         <street>2386 Panoramic Circle</street>
         <city>Apopka</city>
         <region>Florida</region>
         <code>32703</code>
         <country>USA</country>
         <country>United States of America</country>
       </postal>
       <phone>+1-508-333-2270</phone>
       <email>d3e3e3@gmail.com</email>
     </address>
   </author>

   <author fullname="Tony Hansen" initials="T." surname="Hansen">
     <organization>AT&amp;T</organization>
     <address>
       <postal>
         <street>200 Laurel Avenue South</street>
         <city>Middletown</city>
         <region>New Jersey</region>
         <code>07748</code>
         <country>USA</country>
         <country>United States of America</country>
       </postal>
      <email>tony@att.com</email>
     </address>
   </author>

   <date year="2025" month="6" day="6"/>

   <area/>

   <workgroup>Network Working Group</workgroup>
   <!-- "Internet Engineering Task Force" is fine for individual
        submissions.  If this element is not present, the default is
        "Network Working Group", which is used by the RFC Editor as a
        nod to the history of the RFC Series. -->

   <keyword></keyword> month="December"/>

<!-- Multiple [rfced] Please insert any keywords are allowed.  Keywords are incorporated
        into HTML output files (beyond those that appear in the
title) for use by search engines. on <https://www.rfc-editor.org/search>. -->

<abstract>
  <t>FNV (Fowler/Noll/Vo) is a fast, non-cryptographic hash algorithm
  with good dispersion that has been widely used and is referenced in a
  number of standards documents. The purpose of this document is to
  make information on FNV and open-source code performing all
  specified sizes of FNV conveniently available to the Internet
  community.</t>
</abstract>

</front>

<!-- ____________________MIDDLE_MATTER____________________ -->

<middle>

<section> <!-- 1. -->
  <name>Introduction</name>

  <t>FNV (Fowler/Noll/Vo) hashes are designed to be fast and have a
  small code footprint.  Their good dispersion makes them particularly
  well-suited
  well suited for hashing nearly identical strings, including URLs,
  hostnames, filenames, text, and IP and MAC Media Access Control (MAC) addresses. Their speed
  allows one to quickly hash lots of data.</t> data.

<!-- [rfced] Abbreviations:

a) Per Section 3.6 of RFC 7322 ("RFC Style Guide"
(https://www.rfc-editor.org/info/rfc7322)), we expanded "MAC" where
first used.  Please let us know any concerns.

Currently:
 Their good dispersion makes them particularly well
 suited for hashing nearly identical strings, including URLs,
 hostnames, filenames, text, and IP and Media Access Control (MAC)
 addresses.

b) For ease of the reader, should the following abbreviations also be
defined?  If yes, please provide the correct definitions.

 MASS

 IDE (We see "IDE" defined as "Integrated Development Environments"
   in [fasmlab].)

 BFD (perhaps "Bidirectional Forwarding Detection"?) -->

</t>

  <t>The purpose of this document is to make information on FNV and
  open-source code performing all specified sizes of FNV conveniently
  available to the Internet community. This work is not an Internet
  standard
  Standard and is does not have the result of consensus of the IETF community.</t>

  <section anchor="applicability">

<!-- [rfced] [ISE] Questions for the ISE:

a) Because the original Section 1.1 contains the key
word "NOT RECOMMENDED", we (1) prepended the existing Section 1.1
with a new Section 1.1 with the title "Conventions Used in This
Document", (2) added the typical boilerplate text, and (3) added
entries for RFCs 2119 and 8174 to the Normative References
section.  Please let us know any concerns.

b) May we list the years in the copyright notices within all of the
code components (17 instances) as "2016-2025" per guidance from our
legal counsel?

One example

Original:
   /* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
    * identified as authors of the code.  All rights reserved.

Perhaps:
   /* Copyright (c) 2016-2025 IETF Trust and the persons
    * identified as authors of the code.  All rights reserved.
 -->

  <section>
    <name>Conventions Used in This Document</name>
       <t>The key words "<bcp14>MUST</bcp14>", "<bcp14>MUST NOT</bcp14>",
       "<bcp14>REQUIRED</bcp14>", "<bcp14>SHALL</bcp14>",
       "<bcp14>SHALL NOT</bcp14>", "<bcp14>SHOULD</bcp14>",
       "<bcp14>SHOULD NOT</bcp14>",
       "<bcp14>RECOMMENDED</bcp14>", "<bcp14>NOT RECOMMENDED</bcp14>",
       "<bcp14>MAY</bcp14>", and "<bcp14>OPTIONAL</bcp14>" in this document
       are to be interpreted as described in BCP&nbsp;14
       <xref target="RFC2119"/> <xref target="RFC8174"/> when, and only
       when, they appear in all capitals, as shown here.</t>
</section>

  <section anchor="applicability">
    <name>Applicability of Non-Cryptographic Hashes and FNV</name>

  <t>While a general theory of hash function strength and utility is
  beyond the scope of this document, typical attacks on hash function functions
  involve one of the following:</t>

  <dl>

  <dl spacing="normal" newline="false">
    <dt>Collision:</dt><dd>Finding two data inputs that yield the same
    hash output.</dd>

    <dt>First Pre-Image:</dt><dd>Given a hash output, finding a data
    input that hashes to that output.</dd>

    <dt>Second Pre-Image:</dt><dd>Given a first data input, finding a
    second input that produces the same hash output as the first.</dd>
  </dl>

  <t>For a hash function producing N bits, there necessarily will be
  collisions among the hashes of more than 2**N distinct inputs. And
  if the hash function can produce hashes covering all 2**N possible
  outputs, then there will exist first and second pre-images. FNV is
  <bcp14>NOT RECOMMENDED</bcp14> for any application that requires that it be
  computationally infeasible for one of the above types of
  attacks to succeed.

<!-- [rfced] Sections 1.1 and subsequent:  Do the instances of "2**"
in running text (seven, by our count) indicate superscripted numbers?
If yes, would you like us to apply the <sup> (superscript) element,
even though the artwork and sourcecode will still use the "**"s?

Original:
...
 collisions among the hashes of more than 2**N distinct inputs.  And
 if the hash function can produce hashes covering all 2**N possible
...
 also a power of 2, in particular n = 2**s.  For each such n-bit FNV
...
 bits in it: one relatively high order one bit, the 2**9 bit, and 4 or
...
 hash size S such that 2**S > max.  Then, calculate the following:
...
 from a bias against large values with the bias being larger if 2**S
...
 arithmetic mod 2**HashSize. -->

<!-- [rfced] Section 1.1:  We found this sentence difficult to
follow.  We updated it as noted below.  If this is incorrect, please
provide clarifying text.

Original:
 FNV is
 NOT RECOMMENDED for any application that requires that it be
 computationally infeasible to succeed in one of the above
  attacks.</t> attacks.

Currently:
 FNV is
 NOT RECOMMENDED for any application that requires that it be
 computationally infeasible for one of the above types of attacks to
 succeed. -->

</t>

  <t>FNV hashes are generally not applicable for use when faced with
  an active adversary in a security scheme where the modest effort
  required to compute FNV hashes (see <xref target="Effort"/>) and
  their other noncryptographic non-cryptographic characteristics (see <xref
  target="noncrypto"/>) would make the scheme ineffective against the
  threat model being considered. It is sometimes hard to determine
  whether or not there are attack vectors via a hash.</t>

  <t>For a discussion of adversarial inducement of collisions, see
  <xref target="bang"/>.</t>

  </section>

  <section anchor="Uses">
    <name>FNV Hash Uses</name>

    <t>The FNV hash has been widely used. Examples include the
    following:</t>
    <ul>
      <li>NFS implementations (e.g., FreeBSD 4.3 <xref
      target="FreeBSD"/>, IRIX, Linux (NFS v4)),</li>
      <li>text based
      <li>text-based referenced resources for video games on the PS2,
      Gamecube, and XBOX</li>
      <li><xref target="Cohesia"/> XBOX,</li>
      <li>Cohesia MASS project server collision
      avoidance,</li> avoidance <xref target="Cohesia"/>,</li>
      <li>to improve the fragment cache <xref target="FragCache"/> at
      X (formerly Twitter),</li>
      <li>the flatassembler open source open-source x86 assembler - user-defined
      symbol hashtree <xref target="flatassembler"/>,</li>
      <li>Used
      <li>used in the speed-sensitive guts of <xref
      target="twistylists"/>, an open-source structured namespace
      manager,</li>
      <li>database indexing hashes,</li>
      <li>PowerBASIC <xref target="BASIC"/> inline assembly routine,</li> routine <xref target="BASIC"/>,</li>
      <li>major web search / indexing engines,</li>
      <li>the "calc" C-style calculator <xref target="calc"/> calculator,</li> target="calc"/>,</li>
      <li>netnews history file Message-ID lookup functions,</li>
      <li><xref target="FRET"/> - a tool to identify file data
      structures / helps to help understand file formats</li> formats,</li>
      <li>anti-spam filters,</li>
      <li>used in an implementation of libketama for use in items
      such as <xref target="memcache"/>,</li>

<!-- [rfced] Section 1.2:  Will "libketama" be clear to readers?
Would it be helpful to also cite <https://www.metabrew.com/article/
libketama-consistent-hashing-algo-memcached-clients> ("libketama:
Consistent Hashing library for memcached clients") here and list it
in the Informative References section?

We ask because we don't see "libketama" mentioned on the [memcache]
page.

Original:
 *  used in an implementation of libketama for use in items such as
    [memcache], -->

      <li>a spellchecker programmed in Ada 95,</li>
      <li>used in the BSD IDE project <xref target="fasmlab"/>,</li>
      <li>non-cryptographic file fingerprints,</li>
      <li>used in the deliantra game server for its shared
      string implementation <xref target="deliantra"/></li> target="deliantra"/>,</li>
      <li>computing Unique IDs in DASM (DTN (Delay Tolerant
      Networking) Applications for Symbian Mobile-phones),</li>
      <li>Microsoft's hash_map implementation for VC++ 2005,</li>
      <li>the realpath cache in PHP 5.x
      (php-5.2.3/TSRM/tsrm_virtual_cwd.c),</li>
      <li>DNS (Domain Name System) servers,</li>
      <li>used to improve <xref target="Leprechaun"/>, an extremely
      fast word list wordlist creator,</li>
      <li>the Vely framework <xref target="Vely"/> framework for the C language,</li>
      <li>Golf language hash tables <xref target="GolfHash"/>,</li>
      <li>the libstr libsir logging library <xref target="libstr"/>,</li> target="libsir"/>,</li>

<!-- [rfced] Section 1.2 and Informative References:  As the cited
page does not mention "libstr" and shows "Standard Incident Reporter
library" at the top of the page, we changed "libstr" to "libsir"
accordingly.  Please let us know any concerns.

Also, for the reference entry, we could not identify "Lederman, R." at
<https://github.com/aremmell/libsir>, and we were unsure if "RML aremmell"
is the same person. Please let us know if any further updates are needed.

Original:
 *  the libstr logging library [libstr],
...
 [libstr]   Lederman, R. and J. Johnson, "libstr logging library",
            <https://github.com/aremmell/libsir>.

Currently:
 *  the libsir logging library [libsir],
...
 [libsir]   Lederman, R. and J. Johnson, "libsir logging library",
            commit 0ae0173, 3 December 2025,
            <https://github.com/aremmell/libsir>. -->

      <li>a standard library for modern fortran Fortran <xref
      target="Fortran"/>,</li>
      <li>to help with seeding a pseudo random pseudorandom number generator <xref
      target="Vortetty"/>,</li>
    </ul>

    <t>and many other uses.  It is also referenced in the following standards documents: <xref target="RFC7357"/>, <xref target="RFC7873"/>, and <xref
    target="IEEE8021Qbp"/> standards documents.</t>
    target="IEEE8021Qbp"/>.</t>

  <t>A study has recommended FNV in connection with the IPv6 Flow
  Label field <xref target="IPv6flow"/>. Additionally, there was a
  proposal to use FNV for BFD sequence number generation <xref
  target="BFDseq"/>
  target="I-D.ietf-bfd-secure-sequence-numbers"/> and a recent article and study on
  non-cryptographic hash functions <xref target="NCHF"/>.</t> target="NCHF"/>.

<!-- [rfced] Section 1.2:  We had trouble following these sentences.
If the suggested text is not correct, please clarify.

Please note that [BFDseq] underwent significant changes since
March 2022 and no longer mentions FNV, so we took that into account
in the suggested text.  If the suggested text is incorrect, please
let us know how this text should be updated.

Original:
 A study has recommended FNV in connection with the IPv6 Flow Label
 field [IPv6flow].  Additionally, there was a proposal to use FNV for
 BFD sequence number generation [BFDseq] and a recent article and
 study on non-cryptographic hash functions [NCHF].

Suggested:
 [IPv6flow] researched and recommended using 32-bit FNV1a in
 connection with the IPv6 flow label value.  Additionally,
 [ISAAC-Auth] proposes the use of Indirection, Shift, Accumulate,
 Add, and Count (ISAAC) as a means of BFD sequence number generation,
 and [NCHF] discusses criteria for evaluating non-cryptographic hash
 functions. -->

</t>

  <t>If you use an FNV function in an application, you are kindly
  requested to send an EMail email about it to
  &lt;fnvhash-mail@asthe.com&gt; with "FNV hash function" forming
  part of the subject line.</t> line.

<!-- [rfced] Section 1.2:  Please confirm that
<fnvhash-mail@asthe.com> is still a valid, working email address.

Original:
 If you use an FNV function in an application, you are kindly
 requested to send an EMail about it to <fnvhash-mail@asthe.com> with
 "FNV hash function" forming part of the subject line. -->

</t>

</section>

<section anchor="noncrypto">
  <name>Why is Is FNV Non-Cryptographic?</name>

<t>A full discussion of cryptographic hash requirements and strength
is beyond the scope of this document. However, here are three
characteristics of FNV that would generally be considered to make it
non-cryptographic:</t>

<ol>

<ol spacing="normal">
  <li>Sticky State - A cryptographic hash should not have a state in
  which it can stick for a plausible input pattern. But, But in the very
  unlikely event that the FNV hash variable accidentally becomes zero
  and the input is a sequence of zero bytes, the hash variable will
  remain at zero until there is a non-zero input byte and the final
  hash value will be unaffected by the length of that sequence of zero
  input bytes. For the common case of fixed length fixed-length input, this would
  usually not be significant because the number of non-zero bytes
  would vary inversely with the number of zero bytes and for some
  types of input, runs of zeros do not occur. Furthermore, the use of
  a different offset_basis or the inclusion of even a little
  unpredictable input may be sufficient, under some circumstances, to
  stop an adversary from inducing a zero hash variable (see <xref
  target="bang"/>).</li>

  <li>Diffusion - Every output bit of a cryptographic hash should be
  an equally complex function of every input bit. But it is easy to
  see that the least significant bit of a direct FNV hash is the XOR
  of the least significant bits of every input byte and does not
  depend on any other input bits. While more complex, the second
  through seventh least significant bits of an FNV hash have a similar
  weakness; only the top bit of the bottom byte of output, and higher
  order higher-order bits, depend on all input bits. If these properties are
  considered a problem, they can be easily fixed by XOR folding (see
  <xref target="fold"/>).</li>

  <li>Work Factor - Depending on intended use, it is frequently
  desirable that a hash function should be computationally expensive
  for general purpose general-purpose and graphics processors processors, since these may be
  profusely available through elastic cloud services or botnets.  This
  is applied to slow down testing of possible inputs if the output is known or
  the like. But FNV is designed to be inexpensive on a general-purpose
  processor. (See
  processor (see <xref target="Effort"/>.)</li> target="Effort"/>).</li>
</ol>

<t>Nevertheless, none of the above have proven to be a problem in
actual practice for the many non-cryptographic applications of FNV
(see <xref target="Uses"/>).</t>

  </section>

</section> <!-- end 1. Introduction -->

<section> <!-- 2. -->
  <name>FNV Basics</name>

<t>This document focuses on the FNV-1a function function, whose pseudo-code pseudocode is
as follows:</t>

<!-- [rfced] <sourcecode> entries:  Please review the sourcecode-type
settings in this document, and please refer to
<https://www.rfc-editor.org/rpc/wiki/doku.php?id=sourcecode-types>
for the list of approved types.  Please note that we changed
'type="C"' to 'type="c"' per the sourcecode-types page.
Also, please note that "makefile" is not included on the
sourcecode-types page.  Does the page contain an acceptable
substitute that you could use?  If not, it's fine to leave the
"type" attribute unset.

Another option:  If the sourcecode-types page does not contain an
applicable type, please let us know if you would like us to request
that additional sourcecode types (e.g., "makefile") be approved and
listed on the sourcecode-types page.  (As noted above, it's also fine
to leave the "type" attribute unset.)

Also, please let us know whether any artwork elements should be
marked as sourcecode; if yes, please provide the sourcecode type. -->

<sourcecode type="pseudocode"> type="pseudocode"><![CDATA[
  hash = offset_basis
  for each octet_of_data to be hashed
      hash = hash xor octet_of_data
      hash = hash * FNV_Prime mod 2**HashSize
  return hash
</sourcecode>
]]></sourcecode>

<t>In the pseudo-code pseudocode above, hash is a power-of-two power-of-2 number of bits
(HashSize is 32, 64, 128, 256, 512, or 1024) 1024), and offset_basis and
FNV_Prime depend on the size of hash.</t>

<t>The FNV-1 algorithm is the same, including the values of
offset_basis and FNV_Prime, except that the order of the two lines
with the "xor" and multiply operations are is reversed. Operational
experience indicates better hash dispersion for small amounts of data
with FNV-1a. FNV-0 is the same as FNV-1 but with offset_basis set to
zero. FNV-1a is suggested for general use.</t>

<section> <!-- 2.1 -->
  <name>FNV Primes</name>

<t>The theory behind FNV_Prime's FNV_Primes is beyond the scope of this document document,
but the basic property to look for is how an FNV_Prime would impact
dispersion. Now, consider any n-bit FNV hash where n >= 32 and is also
a power of 2, 2 -- in particular particular, n = 2**s. For each such n-bit FNV hash, an
FNV_Prime p is defined as:</t> as follows:</t>

<ul>
  <li><t>When s is an integer and 4 &lt; s &lt; 11, then
  FNV_Prime is the smallest prime p of the form:</t>

<artwork align="center"> align="left"><![CDATA[                  256**int((5 + 2**s)/12) + 2**8 + b
</artwork>
]]></artwork>
  </li>

  <li><t>where b is an integer such that:</t>

<artwork align="center"> align="left"><![CDATA[                               0 &lt; < b &lt; < 2**8
</artwork>
]]></artwork>
</li>

<li><t>The number of one-bits in b is 4 four or 5</t></li> five</t></li>

<li><t>and where</t>
<artwork align="center"> align="left"><![CDATA[      ( p mod (2**40 - 2**24 - 1) ) > ( 2**24 + 2**8 + 2**7 )
</artwork>
]]></artwork>
</li>
</ul>

<t>Experimentally, FNV_Primes matching the above constraints tend to
have better dispersion properties. They improve the polynomial
feedback characteristic when an FNV_Prime multiplies an intermediate
hash value. As such, the hash values produced are more scattered
throughout the n-bit hash space.</t>

<t>The case where s &lt; 5 is not considered due to the resulting low
hash quality. Such small hashes can, if desired, be derived from a 32
bit
32-bit FNV hash by XOR folding (see <xref target="fold"/>). The case
where s > 10 is not considered because of the doubtful utility of such
large FNV hashes and because the criteria for such large FNV_Primes is
more complex, due to the sparsity of such large primes, and would
needlessly clutter the criteria given above.</t> above.

<!-- [rfced] Section 2.1:  Is "criteria" used in the singular here
(as currently indicated by "is more complex"), or is it used to
indicate more than one criterion (in which case "is more complex"
should be "are more complex")?

Original:
 The case where s > 10 is
 not considered because of the doubtful utility of such large FNV
 hashes and because the criteria for such large FNV_Primes is more
 complex, due to the sparsity of such large primes, and would
 needlessly clutter the criteria given above. -->

</t>

<t>Per the above constraints, an FNV_Prime should have only 6 six or 7 seven
one-bits in it: one relatively high order high-order one bit, the 2**9 bit, and 4 four
or 5 five one bits in the low order low-order byte. Therefore, some compilers may
seek to improve the performance of a multiplication with an FNV_Prime
by replacing the multiplication with shifts and adds.  However, the
performance of this substitution is highly hardware-dependent hardware dependent and
should be done with care. The selection of FNV_Primes prioritizes the
quality of the resulting hash function, not compiler optimization
considerations.</t>

</section>

<section anchor="constoffb"> <!-- 2.2 -->
  <name>FNV offset_basis</name>

<t>The offset_basis values for the n-bit FNV-1a algorithms are
computed by applying the n-bit FNV-0 algorithm to the following
32-octet ASCII <xref target="RFC0020"/> character string:</t>

<artwork align="center" type="ascii-art"> align="left"><![CDATA[                     chongo &lt;Landon <Landon Curt Noll> /\../\
</artwork>
]]></artwork>

<t>or, in C notation <xref target="C"/> notation, target="C"/>, the following string:</t>

<artwork align="center" type="ascii-art"> align="left"><![CDATA[                    "chongo &lt;Landon <Landon Curt Noll> /\\../\\"
</artwork>
]]></artwork>

<t>In the general case, almost any offset_basis would serve as long as
it is non-zero. However, FNV hashes calculated with different
offset_basis values will not interoperate. The choice of a
non-standard offset_basis may be beneficial in some limited
circumstances to defend against attacks that try to induce hash
collisions as discussed in <xref target="bang"/>. Any entity that can
observe the FNV hash output, and can cause the null string (the string
of length zero) to be hashed, will thereby be able to directly observe
the offset_basis which will be the hash output.</t> output.

<!-- [rfced] Section 2.2: Is the offset_basis sometimes the hash
output, or always?  If neither suggestion below is correct, please
clarify.

Original:
 Any entity that can observe the FNV hash
 output, and can cause the null string (the string of length zero) to
 be hashed, will thereby be able to directly observe the offset_basis
 which will be the hash output.

Suggestion #1 (sometimes):
 Any entity that can observe the FNV hash
 output, and can cause the null string (the string of length zero) to
 be hashed, will thereby be able to directly observe the offset_basis
 that will be the hash output.

Suggestion #2 (always):
 Any entity that can observe the FNV hash
 output, and can cause the null string (the string of length zero) to
 be hashed, will thereby be able to directly observe the
 offset_basis, which will be the hash output. -->

</t>

</section>

<section anchor="endian">  <!-- 2.3 -->
  <name>FNV Endianism</name>

<t>For persistent storage or interoperability between different
hardware platforms, an FNV hash shall be represented in the little
endian format <xref target="IEN137"/>. That is, the FNV hash will be
stored in an array hash[N] with N bytes such that its integer value
can be retrieved as follows:</t>

<sourcecode type="C"> type="c"><![CDATA[
  unsigned char   hash[N];
  for ( i = N-1, value = 0; i >= 0; --i )
      value = ( value &lt;&lt; << 8 ) + hash[i];
</sourcecode>
]]></sourcecode>

<t>However, when FNV hashes are used in a single process or a group
of processes sharing memory on processors with compatible endian-ness, endianness,
the natural endian-ness endianness of those processors can be used, as long as it
is used consistently, regardless of its type, type -- little, big, or some
other exotic form.</t>

<t>The code provided in Section 6 <xref target="sec-cons"/> has FNV hash functions that return a
little endian byte vector for all lengths. Because they are more
efficient, the code also provides functions that return FNV hashes as
32-bit integers or, where supported, 64-bit integers, for those sizes
of FNV hash. Such integers are compatible with the same size same-size byte
vectors on little endian computers computers, but the use of the functions returning
integers on big endian or other non-little-endian machines will be
byte-reversed or otherwise incompatible with the byte vector return
values.</t>

</section>
</section>
values.

<!-- 2. [rfced] Section 2.3:  We do not see any code provided in
Section 6 ("Security Considerations").  Please let us know which
section should be cited here.

Original:
 The code provided in Section 6 has FNV hash functions that return a
 little endian byte vector for all lengths. -->

</t>

</section>
</section>

<section anchor="fold">  <!-- 3. -->
  <name>Other Hash Sizes and XOR Folding</name>

<t>Many hash uses require a hash that is not one of the FNV sizes for
which constants are provided in <xref target="const"/>.  If a larger
hash size is needed, please contact the authors of this document.</t>

<t>For scenarios where a fixed-size binary field of k bits is desired
with k &lt; 1024 but not among the provided constants provided in Section 5, <xref target="const"/>,
the recommended approach involves using the smallest FNV hash of size
S where S > k and employing xor folding, as shown below. The final
bit masking
bit-masking operation is logically unnecessary if the size of the
variable k-bit-hash is exactly k bits.</t>

<sourcecode type="pseudocode"> type="pseudocode"><![CDATA[
  temp = FNV_S ( data-to-be-hashed )
  k-bit-hash = ( temp xor temp>>k ) bitwise-and ( 2**k - 1 )
</sourcecode>
]]></sourcecode>

<t>A somewhat stronger hash may be obtained for exact FNV sizes by
calculating an FNV twice as long as the desired output ( S = 2*k ) and
performing such xor data folding using a k equal to the size of the
desired output. However, if a much stronger hash is desired,
cryptographic algorithms, such as those specified in <xref target="FIPS202"/> or
<xref target="RFC6234"/>, should be used.</t>

<t>If it is desired to obtain a hash result that is a value between 0
and max, where max+1 is a not a power of two, 2, simply choose an FNV
hash size S such that 2**S > max. Then Then, calculate the following:</t>

<artwork align="center"> align="left"><![CDATA[                          FNV_S mod ( max+1 )
</artwork>
]]></artwork>

<t>The resulting remainder will be in the range desired but will
suffer from a bias against large values values, with the bias being larger if
2**S is only a little bigger slightly larger than max. If this bias is acceptable, no
further processing is needed. If this bias is unacceptable, it can be
avoided by retrying for certain high values of hash, as follows,
before applying the mod operation above:</t>

<sourcecode type="pseudocode"> type="pseudocode"><![CDATA[
  X = ( int( ( 2**S - 1 ) / ( max+1 ) ) ) * ( max+1 )
  while ( hash >= X )
      hash = ( hash * FNV_Prime ) + offset_basis
</sourcecode>
]]></sourcecode>

</section> <!-- 3 -->

<section>  <!-- 4. -->

<section anchor="sec-4">
  <name>Hashing Multiple Values Together</name>

<t>Sometimes

<t>Sometimes, there are multiple different component values, say three
strings X, Y, and Z, where a hash over all of them is desired.  The
simplest thing to do is to concatenate them in a fixed order and
compute the hash of that concatenation, as in</t>

<artwork align="center"> align="left"><![CDATA[                          hash ( X | Y | Z )
</artwork>
]]></artwork>

<t>where the vertical bar character ("|") represents string
concatenation. If the components being combined are of variable
length, some information is lost by simple concatenation. For example,
X = "12" and Y = "345" would not be distinguished from X = "123" and Y
= "45". To preserve that information, each component should be
preceded by an encoding of its length, length or should end with some sequence that
cannot occur within the component, or some similar technique should be
used.</t>

<t>For FNV, the same hash results if X, Y, and Z are actually
concatenated and the FNV hash applied to the resulting string or if
FNV is calculated on an initial substring and the result used as the
offset_basis when calculating the FNV hash of the remainder of the
string.  This can be done several times. Assuming that FNVoffset_basis ( v,
w ) is the FNV of w using v as the offset_basis, then in the example
above, fnvx = FNV ( X ) could be calculated and then fnvxy =
FNVoffset_basis ( fnvx, Y ), and finally fnvxyz = FNVoffset_basis (
fnvxy, Z). Z ). The resulting fnvxyz would be the same as FNV ( X | Y | Z&nbsp;).

<!-- [rfced] Section 4:  We had trouble parsing this sentence - in
particular, the "and ... or" relationships.  Will this sentence be
clear to readers as written?

Original:
 For FNV, the same hash results if X, Y, and Z
).</t> are actually
 concatenated and the FNV hash applied to the resulting string or if
 FNV is calculated on an initial substring and the result used as the
 offset_basis when calculating the FNV hash of the remainder of the
 string.

Possibly:
 For FNV, the same hash results if 1) X, Y, and Z are actually
 concatenated and the FNV hash is applied to the resulting string or
 2) FNV is calculated on an initial substring and the result is used
 as the offset_basis when calculating the FNV hash of the remainder
 of the string. -->

</t>

<t>This means that if you have the value of FNV ( X ) and you want to
calculate FNV ( X | Y ), you do not need to find X. You can simply
calculate FNVoffset_basis ( FNV ( X ), Y ) and thereby get FNV ( X |Y
).</t>

<t>Sometimes | Y&nbsp;).</t>

<t>Sometimes, such a hash needs to be repeatedly calculated and calculated; the
component values vary vary, but some vary more frequently than others.  For
example, assume that some sort of computer network traffic flow ID, such as
the IPv6 flow ID <xref target="RFC6437"/>, is to be calculated for
network packets based on the source and destination IPv6 address addresses and
the Traffic Class <xref target="RFC8200"/>. If the Flow ID is
calculated in the originating host, the source IPv6 address would
likely always be the same or would perhaps assume one of a very small number
of values. By placing this quasi-constant IPv6 source address first in
the string being FNV hashed, FNV-hashed, FNV ( IPv6source ) could be calculated
and used as the offset_basis for calculating the FNV of the IPv6
destination address and Traffic Class for each packet. As a result,
the per packet per-packet hash would be over 17 bytes rather than over 33 bytes bytes,
saving computational resources. The source code in this document
includes functions facilitating the use of a non-standard
offset_basis.</t>
offset_basis.

<!-- [rfced] Section 4:  We only see one mention of the idea of
"flow ID" in RFC 6437 ("a stateless method of flow identification and
label assignment") but quite a few instances of "Flow Label" and
"flow label" (and one instance of "Flow label").  Should "flow ID"
and "Flow ID" be "flow label" or "Flow Label" here?

Original:
 For example, assume some sort of computer network traffic flow ID,
 such as the IPv6 flow ID [RFC6437], is to be calculated for network
 packets based on the source and destination IPv6 address and the
 Traffic Class [RFC8200].  If the Flow ID is calculated in the
 originating host, the source IPv6 address would likely always be the
 same or perhaps assume one of a very small number of values. -->

</t>

<t>An alternative method of hashing multiple values is to concatenate
the hashes of those values and then hash the concatenation, this concatenation -- that is,
compute something like</t>

<artwork align="center"> align="left"><![CDATA[                 hash ( hash(X) hash (X) | hash (Y) | hash (Z) )
</artwork>
]]></artwork>

<t>This will involve more computation than simply computing the hash
of the concatenation of the values and thus, unless parallel
computational resources are available, greater latency; however, if
parallel computational resources are available and the values being
hashed together are long enough to overcome any initial/final hash
function overhead, which is very small for FNV, latency can be reduced
by hashing the concatenation of the hashes of the values.</t>

<t>For another example of a similar technique, assume a desire to use
FNV-N to hash a byte string of length L. Let B = N/8, the number of
bytes of FNV-N output. If that string is divided into k successive
substrings of equal length substrings and assuming, for simplicity, that L is an
integer multiple of k, hashing the substrings and then hashing the
concatenation of their hashes will hash a total of L + k*B bytes,
clearly more than the initial string size L. However, if sufficient
parallel computational resources are available to hash all the
substrings simultaneously, the elapsed time can be changed
approximately from on the order of L to on the order of L/k + k*B. For
sufficiently large L, this parallelization will reduce the elapsed
time to produce the overall hash.</t>

</section>  <!-- 4. -->

<section anchor="const"> <!-- 5. -->
  <name>FNV Constants</name>

  <t>The FNV Primes are as follows:</t>
<table>
  <thead>
<tr><th>Size FNV Prime = Expression</th></tr>
<tr><th align="right">= Decimal</th></tr>
<tr><th align="right">= Hexadecimal</th></tr>
  </thead>
  <tbody>

<tr><td>32-bit FNV_Prime = 2**24 + 2**8 + 0x93</td></tr>
<tr><td align="right">= 16,&zwsp;777,&zwsp;619</td></tr>
<tr><td align="right">= 0x01000193</td></tr>

<tr><td>64-bit FNV_Prime = 2**40 + 2**8 + 0xB3</td></tr>
<tr><td align="right">=
1,&zwsp;099,&zwsp;511,&zwsp;628,&zwsp;211</td></tr>
<tr><td align="right"> = 0x00000100 000001B3</td></tr>

<tr><td>128-bit FNV_Prime = 2**88 + 2**8 + 0x3B</td></tr>
<tr><td align="right">=
309,&zwsp;485,&zwsp;009,&zwsp;821,&zwsp;345,&zwsp;068,&zwsp;724,&zwsp;781,&zwsp;371</td></tr>
<tr><td align="right">= 0x00000000 01000000 00000000
0000013B</td></tr>

<tr><td>256-bit FNV_Prime = 2**168 + 2**8 + 0x63</td></tr>
<tr><td align="right">=
374,&zwsp;144,&zwsp;419,&zwsp;156,&zwsp;711,&zwsp;147,&zwsp;060,&zwsp;143,&zwsp;317,&zwsp;175,&zwsp;368,&zwsp;453,&zwsp;031,&zwsp;918,&zwsp;731,&zwsp;002,&zwsp;211</td></tr>
<tr><td align="right">= 0x0000000000000000
0000010000000000 0000000000000000 0000000000000163</td></tr>

<tr><td>512-bit FNV_Prime = 2**344 + 2**8 + 0x57</td></tr>
<tr><td align="right">= 35,&zwsp;835,&zwsp;915,&zwsp;874,&zwsp;844,&zwsp;867,&zwsp;368,&zwsp;919,&zwsp;076,&zwsp;489,&zwsp;095,&zwsp;108,&zwsp;449,&zwsp;946,&zwsp;327,&zwsp;955,&zwsp;754,&zwsp;392,&zwsp;558,&zwsp;399,&zwsp;825,&zwsp;615,&zwsp;420,&zwsp;669,&zwsp;938,&zwsp;882,&zwsp;575,&zwsp;126,&zwsp;094,&zwsp;039,&zwsp;892,&zwsp;345,&zwsp;713,&zwsp;852,&zwsp;759</td></tr>
<tr><td align="right">= 0x0000000000000000
0000000000000000 0000000001000000 0000000000000000 0000000000000000
0000000000000000 0000000000000000 0000000000000157</td></tr>

<tr><td>1024-bit FNV_Prime = 2**680 + 2**8 + 0x8D</td></tr>
<tr><td align="right">= 5,&zwsp;016,&zwsp;456,&zwsp;510,&zwsp;113,&zwsp;118,&zwsp;655,&zwsp;434,&zwsp;598,&zwsp;811,&zwsp;035,&zwsp;278,&zwsp;955,&zwsp;030,&zwsp;765,&zwsp;345,&zwsp;404,&zwsp;790,&zwsp;744,&zwsp;303,&zwsp;017,&zwsp;523,&zwsp;831,&zwsp;112,&zwsp;055,&zwsp;108,&zwsp;147,&zwsp;451,&zwsp;509,&zwsp;157,&zwsp;692,&zwsp;220,&zwsp;295,&zwsp;382,&zwsp;716,&zwsp;162,&zwsp;651,&zwsp;878,&zwsp;526,&zwsp;895,&zwsp;249,&zwsp;385,&zwsp;292,&zwsp;291,&zwsp;816,&zwsp;524,&zwsp;375,&zwsp;083,&zwsp;746,&zwsp;691,&zwsp;371,&zwsp;804,&zwsp;094,&zwsp;271,&zwsp;873,&zwsp;160,&zwsp;484,&zwsp;737,&zwsp;966,&zwsp;720,&zwsp;260,&zwsp;389,&zwsp;217,&zwsp;684,&zwsp;476,&zwsp;157,&zwsp;468,&zwsp;082,&zwsp;573</td></tr>
<tr><td align="right">= 0x0000000000000000
0000000000000000 0000000000000000 0000000000000000 0000000000000000
0000010000000000 0000000000000000 0000000000000000 0000000000000000
0000000000000000 0000000000000000 0000000000000000 0000000000000000
0000000000000000 0000000000000000 000000000000018D</td></tr>

  </tbody>
</table>

<t>The FNV offset_basis values are as follows:</t>

<table>
  <thead>
<tr><th>Size offset_basis</th></tr>
<tr><th align="right">= Decimal</th></tr>
<tr><th align="right">= Hexadecimal</th></tr>
  </thead>
  <tbody>

<tr><td>32-bit offset_basis</td></tr>
<tr><td align="right">= 2,&zwsp;166,&zwsp;136,&zwsp;261</td></tr>
<tr><td align="right">= 0x811C9DC5</td></tr>

<tr><td>64-bit offset_basis</td></tr>
<tr><td align="right">=
14,&zwsp;695,&zwsp;981,&zwsp;039,&zwsp;346,&zwsp;656,&zwsp;037</td></tr>
<tr><td align="right">= 0xCBF29CE4 84222325</td></tr>

<tr><td>128-bit offset_basis</td></tr>
<tr><td align="right">=
144,&zwsp;066,&zwsp;263,&zwsp;297,&zwsp;769,&zwsp;815,&zwsp;596,&zwsp;495,&zwsp;629,&zwsp;667,&zwsp;062,&zwsp;367,&zwsp;629</td></tr>
<tr><td align="right">= 0x6C62272E 07BB0142 62B82175 6295C58D</td></tr>

<tr><td>256-bit offset_basis</td></tr>
<tr><td align="right">=
100,&zwsp;029,&zwsp;257,&zwsp;958,&zwsp;052,&zwsp;580,&zwsp;907,&zwsp;070,&zwsp;968,&zwsp;620,&zwsp;625,&zwsp;704,&zwsp;837,&zwsp;092,&zwsp;796,&zwsp;014,&zwsp;241,&zwsp;193,&zwsp;945,&zwsp;225,&zwsp;284,&zwsp;501,&zwsp;741,&zwsp;471,&zwsp;925,&zwsp;557</td></tr>
<tr><td align="right">= 0xDD268DBCAAC55036 2D98C384C4E576CC
C8B1536847B6BBB3 1023B4C8CAEE0535</td></tr>

<tr><td>512-bit offset_basis</td></tr> <tr><td align="right">= 9,&zwsp;659,&zwsp;303,&zwsp;129,&zwsp;496,&zwsp;669,&zwsp;498,&zwsp;009,&zwsp;435,&zwsp;400,&zwsp;716,&zwsp;310,&zwsp;466,&zwsp;090,&zwsp;418,&zwsp;745,&zwsp;672,&zwsp;637,&zwsp;896,&zwsp;108,&zwsp;374,&zwsp;329,&zwsp;434,&zwsp;462,&zwsp;657,&zwsp;994,&zwsp;582,&zwsp;932,&zwsp;197,&zwsp;716,&zwsp;438,&zwsp;449,&zwsp;813,&zwsp;051,&zwsp;892,&zwsp;206,&zwsp;539,&zwsp;805,&zwsp;784,&zwsp;495,&zwsp;328,&zwsp;239,&zwsp;340,&zwsp;083,&zwsp;876,&zwsp;191,&zwsp;928,&zwsp;701,&zwsp;583,&zwsp;869,&zwsp;517,&zwsp;785</td></tr>
<tr><td align="right">= 0xB86DB0B1171F4416 DCA1E50F309990AC
AC87D059C9000000 0000000000000D21 E948F68A34C192F6 2EA79BC942DBE7CE
182036415F56E34B AC982AAC4AFE9FD9</td></tr>

<tr><td>1024-bit offset_basis</td></tr> <tr><td align="right">= 14,&zwsp;197,&zwsp;795,&zwsp;064,&zwsp;947,&zwsp;621,&zwsp;068,&zwsp;722,&zwsp;070,&zwsp;641,&zwsp;403,&zwsp;218,&zwsp;320,&zwsp;880,&zwsp;622,&zwsp;795,&zwsp;441,&zwsp;933,&zwsp;960,&zwsp;878,&zwsp;474,&zwsp;914,&zwsp;617,&zwsp;582,&zwsp;723,&zwsp;252,&zwsp;296,&zwsp;732,&zwsp;303,&zwsp;717,&zwsp;722,&zwsp;150,&zwsp;864,&zwsp;096,&zwsp;521,&zwsp;202,&zwsp;355,&zwsp;549,&zwsp;365,&zwsp;628,&zwsp;174,&zwsp;669,&zwsp;108,&zwsp;571,&zwsp;814,&zwsp;760,&zwsp;471,&zwsp;015,&zwsp;076,&zwsp;148,&zwsp;029,&zwsp;755,&zwsp;969,&zwsp;804,&zwsp;077,&zwsp;320,&zwsp;157,&zwsp;692,&zwsp;458,&zwsp;563,&zwsp;003,&zwsp;215,&zwsp;304,&zwsp;957,&zwsp;150,&zwsp;157,&zwsp;403,&zwsp;644,&zwsp;460,&zwsp;363,&zwsp;550,&zwsp;505,&zwsp;412,&zwsp;711,&zwsp;285,&zwsp;966,&zwsp;361,&zwsp;610,&zwsp;267,&zwsp;868,&zwsp;082,&zwsp;893,&zwsp;823,&zwsp;963,&zwsp;790,&zwsp;439,&zwsp;336,&zwsp;411,&zwsp;086,&zwsp;884,&zwsp;584,&zwsp;107,&zwsp;735,&zwsp;010,&zwsp;676,&zwsp;915</td></tr>
<tr><td align="right">= 0x0000000000000000 005F7A76758ECC4D
32E56D5A591028B7 4B29FC4223FDADA1 6C3BF34EDA3674DA 9A21D90000000000
0000000000000000 0000000000000000 0000000000000000 0000000000000000
0000000000000000 000000000004C6D7 EB6E73802734510A 555F256CC005AE55
6BDE8CC9C6A93B21 AFF4B16C71EE90B3</td></tr>

  </tbody>
</table>

</section>

<section>  <!-- 6. -->

<section anchor="sec-cons">
  <name>Security Considerations</name>

<t>No assertion of suitability for cryptographic applications is made
for the FNV hash algorithms.</t>

<t>Use

<t>The use of a cryptographic hash function should be considered when
active adversaries are a factor (see <xref
target="applicability"/>).</t>

<section anchor="bang">
  <name>Inducing Collisions</name>

<t>An attacker could attempt to induce collisions to cause denial or
degradation of service. Consider the following simplified example: a A
hash table of n buckets is being maintained with the bucket used by
some item i determined by</t>

<artwork align="center"> align="left"><![CDATA[                               hash(i) mod n
</artwork>
]]></artwork>

<t>and with a linked list out of each bucket of the items that all
hash to that bucket. Such an arrangement might be used for the symbol
table in a compiler or for some of the routing information (i.e., a RIB
(Routing Information Base)) in a router. Then a A large number of items
hashing to the same bucket will then likely result in much slower times to
retrieve from or update the information stored through the table for
one of those items. Typically, an attacker could arrange for the
number of distinct items being hashed to be orders of magnitude larger
than n, even if n was tens or hundreds of thousands, so collisions are
guaranteed to occur in this example regardless of the nature of the
hash function.</t> function.

<!-- [rfced] Section 6.1:  Is a Routing Information Base the only
source of routing information (in which case "i.e.," is correct), or
is it an example of a source of routing information (in which case
"e.g.," should be used here instead)?

Original:
 Such an arrangement might be used for the symbol table in a
 compiler or for some of the routing information (i.e., RIB
 (Routing Information Base)) in a router. -->

</t>

<t>There are a number of different circumstances that might surround
this example example, of which the following three are illustrative:</t>

<ul>
  <li>If a hash function is being used in an exactly known way for the
  above scenario, including a known offset_basis such as a standard
  offset_basis specified in this document, then an adversary could
  test items off-line offline and generate an arbitrary set of items whose
  hash table indexes would collide. Under these circumstances, the
  adversary would not have to conduct any trials of actually
  submitting items and would not have to measure performance to find
  collisions.  Then submitting  Submitting such a set of items would then degrade or
  deny service. For FNV, the use of an offset_basis not known by the
  adversary is adequate to defeat this case.</li>

  <li>If the adversary cannot detect when collisions occur, occur or when service
  is degraded, then it is sufficient for the adversary to be unable to
  predict the hash outcomes. For FNV, the use of an offset_basis not known
  by the adversary may be adequate to defend against this case.</li> case.

<!-- [rfced] Section 6.1:  As it appears to us that "occur, or
service is degraded" means "occur or when service is degraded" as
opposed to "occur or if service is degraded", we updated this
sentence accordingly.  If this is incorrect, please provide
clarifying text.

Original:
 *  If the adversary cannot detect when collisions occur, or service
    is degraded, then it is sufficient for the adversary to be unable
    to predict the hash outcomes.

Currently:
 *  If the adversary cannot detect when collisions occur or when
    service is degraded, then it is sufficient for the adversary to be
    unable to predict the hash outcomes. -->

</li>

  <li>If the adversary can detect the degradation in service caused by
  collisions in the above example and can feed large numbers of
  variable items to the process, then they can collect sets of items
  that appear to collide. Even if there are limits to the number of
  items that can be submitted, if there can be multiple trials, the
  adversary can collect multiple sets of items that collide within
  each set or one growing set of items items, all of which collide. Then, by
  submitting such items, the adversary can degrade or deny
  service. That is true regardless of whether the hash function used
  is a non-cryptographic hash function such as FNV or a cryptographic
  hash function such as those specified in <xref target="FIPS202"/> or <xref
  target="RFC6234"/>. One defense in this case is to detect when a
  large number of collisions are happening (which could, but would be
  unlikely to, occur by chance) and, when that is detected, rehash the
  items with some change to the hash algorithm and use the changed
  hash algorithm for subsequent items; items -- for example, if FNV is being
  used, to rehash with a different offset_basis and then continue
  using that new offset_basis. There exist commercially deployed
  routers that use this technique to ameliorate excessive hash
  collisions in internal tables.</li>
</ul>

</section>
</section> <!-- 6. -->

<section> <!-- 7. -->
  <name>Historical Notes</name>

  <t>The FNV hash algorithm originated from an idea submitted as
  reviewer comments to the <xref target="IEEE"/> IEEE POSIX P1003.2 committee <xref target="IEEE"/> in 1991 by Glenn Fowler <contact fullname="Glenn Fowler"/> and Phong Vo. <contact fullname="Phong Vo"/>. Subsequently, during
  a ballot round, Landon <contact fullname="Landon Curt Noll Noll"/> proposed an enhancement to their
  algorithm.  Some people tried this hash and found that it worked
  rather well. In an EMail email message to Landon, they named it the
  "Fowler/Noll/Vo" or FNV hash from their last names in alphabetic
  order. alphabetical
  order <xref target="FNV"/></t> target="FNV"/>.

</t>

<!-- [rfced] Section 7:  We found the citation for [IEEE] confusing,
as we could not readily locate information on the IEEE POSIX P1003.2
committee when searching [IEEE].  Also, in a general web search, we
saw a reference to a September 1991 draft
(https://mirror.math.princeton.edu/pub/oldlinux/Linux.old/
Ref-docs/POSIX/all.pdf) and a 1992 paper
(https://standards.ieee.org/ieee/1003.2/1408/).  Will this text and
citation be clear to readers?

Original:
 The FNV hash algorithm originated from an idea submitted as reviewer
 comments to the [IEEE] POSIX P1003.2 committee in 1991 by Glenn
 Fowler and Phong Vo. -->

<!-- LB:  Checked the quoted (DNE) text below, and fixed it to match
     what's listed in the reference. -->
  <t>The string used to calculate the offset_basis values (see <xref
  target="constoffb"/>) was selected because the person testing FNV
  with non-zero offset_basis values was looking at an email message
  from Landon and was copying his standard email signature line;
  however, they "didn't "did not see very well" <xref target="FNV"/> and copied
  it incorrectly. In fact, Landon uses</t>

  <artwork align="center" type="ascii-art"> align="left"><![CDATA[                      chongo (Landon Curt Noll) /\oo/\
  </artwork>
]]></artwork>

  <t>but, since it doesn't matter, no effort has been made to correct
  this.</t>

</section> <!-- 7. -->

<section anchor="SourceCode">  <!-- 8. -->
  <name>The Source Code</name>

<t>The following sub-sections subsections provide reference <xref target="C"/> C source code <xref target="C"/>
and a test driver with a command line interface for
FNV-1a.</t>

<t>Section 8.2

<t><xref target="sec-8.2"/> provides the C header and code source files for the FNV
functions. Section 8.3 <xref target="sec-8.3"/> provides the test driver. Section 8.4 <xref target="sec-8.4"/> provides
a simple makefile to build the test driver or a library file with all
FNV sizes.</t>

<t>Alternative source code for 32- and 64-bit FNV is available at
<xref target="LCN2"/>. Other alternative source code, including in x86
assembler, is currently available at <xref target="FNV"/>. In some
cases, this further source code has been further optimized.</t>

<section>  <!-- 8.1 -->
  <name>Source Code Details</name>

  <section>  <!-- 8.1.1 -->
    <name>FNV Functions Available</name>

  <t>The functions provided are listed below. The "xxx" in the
  function names is "32", "64", "128", "256", "512", or "1024" "1024",
  depending on the length of the FNV.  All of the FNV hash functions
  have as their return value an integer whose meaning is specified in
  FNVErrorCodes.h.</t>

  <t>Functions providing a byte vector hash are available for all
  lengths. For FNV-32, versions are available that provide a 32-bit
  integer and are identified by replacing "xxx" with "32INT". For
  example, FNV32string provides a 4-byte vector vector, but FNV32INTstring
  provides a 32-bit integer. For FNV-64, if compiled with 64-bit
  integers enabled (i.e., FNV_64bitIntegers defined, defined; see FNVconfig.h),
  versions are available that provide a 64-bit integer and are
  identified by replacing "xxx" with "64INT"`. "64INT". Versions providing an
  integer hash will not be compatible between systems of different
  endian-ness
  endianness (see <xref target="endian"/>).</t>

  <t>If you want to copy the source code from this document, note that
  it is indented by three spaces in the ".txt" version. It may be
  simplest to copy from the ".html" version of this document.</t>

  <dl>

    <dt>FNVxxxstring,
  <artwork align="left"><![CDATA[
FNVxxxstring, FNVxxxblock, FNVxxxfile:</dt><dd/>
    <dt>FNVxxxstringBase, FNVxxxfile:

FNVxxxstringBase, FNVxxxblockBase, FNVxxxfileBase:</dt><dd/>

    <dt>FNVxxxINTstring, FNVxxxfileBase:

FNVxxxINTstring, FNVxxxINTblock, FNVxxxINTfile:</dt><dd/> FNVxxxINTfile:
]]></artwork>
  <dl>
    <dt>FNVxxxINTstringBase, FNVxxxINTblockBase,
    FNVxxxINTfileBase:</dt>
    <dd>These are simple functions for directly returning the FNV hash
    of a zero terminated zero-terminated byte string not including that zero byte, the
    FNV hash of a counted block of bytes, and the FNV of a file,
    respectively. The functions whose name has names have the "Base" suffix take
    an additional parameter specifying the offset_basis. Note that for
    applications of FNV-32 and of FNV-64 where integers of that size
    are supported and an integer data type output is acceptable, the
    code is sufficiently simple that, to maximize performance, the use of
    open coding or macros may be more appropriate than calling a
    subroutine.</dd>

<!-- [rfced] Section 8.1.1:  Should "Base" be "Basis" for these
entries?  We don't see "Base" used anywhere else in comparable
parameter names (e.g., "FNV64stringBasis", "FNV32blockBasis" as
used later).

Original:
 FNVxxxstringBase, FNVxxxblockBase, FNVxxxfileBase:
...
 FNVxxxINTstringBase, FNVxxxINTblockBase, FNVxxxINTfileBase:
...
 The functions whose name has the "Base" suffix take an additional
 parameter specifying the offset_basis. -->

    <dt>FNVxxxinit, FNVxxxinitBasis:</dt><dd/>

<!-- [rfced] Section 8.1.1:  The following four entries don't seem to
have any descriptive information below them.  We also see that the
first three entries are contained in an <artwork> element but the
fourth entry is part of the description list.

Will the use/purpose of these four entries be clear to readers, or
should all of them have definitions and be part of the same
definition list?

Original:
 FNVxxxstring, FNVxxxblock, FNVxxxfile:

 FNVxxxstringBase, FNVxxxblockBase, FNVxxxfileBase:

 FNVxxxINTstring, FNVxxxINTblock, FNVxxxINTfile:
...
 FNVxxxinit, FNVxxxinitBasis: -->

    <dt>FNVxxxINTinitBasis:</dt><dd>These functions and the next two
    sets of functions below provide facilities for incrementally
    calculating FNV hashes. They all assume a data structure of type
    FNVxxxcontext that holds the current state of the hash. FNVxxxinit
    initializes that context to the standard
    offset_basis. FNVxxxinitBasis takes an offset_basis value as a
    parameter and may be useful for hashing concatenations, as
    described in Section 4, <xref target="sec-4"/>, as well as for simply using a non-standard
    offset_basis.</dd>

    <dt>FNVxxxblockin, FNVxxxstringin, FNVxxxfilein:</dt><dd>These
    functions hash a sequence of bytes into an FNVxxxcontext that was
    originally initialized by FNVxxxinit or
    FNVxxxinitBasis. FNVxxxblockin hashes in a counted block of
    bytes. FNVxxxstringin hashes in a zero terminated zero-terminated byte string not
    including the final zero byte. FNVxxxfilein hashes in the contents
    of a file.</dd>

    <dt>FNVxxxresult, FNVxxxINTresult:</dt><dd>This function extracts
    the final FNV hash result from an FNVxxxcontext.</dd>

  </dl>

    </section>

  <section>  <!-- 8.1.2 -->
    <name>Source Files and 64-bit 64-Bit Support </name>

<t>Code optimized for 64-bit integer support, support -- that is, support of
64-bit integer addition and 32x32-bit 32-bit x 32-bit multiplication producing a
64-bit product, product -- is provided based on whether or not the
FNV_64bitIntegers symbol is defined. By default, this is set in
FNVconfig.h based on the compilation target; however, this can be
overridden by editing that file or by defining certain symbols in, for
example, a command line invoking compilation.</t> compilation.

<!-- [rfced] Section 8.1.2:  Does "a command line invoking
compilation" mean "a compilation that invokes a command line"  or
"a command line invoking a compilation"?

Original:
 By default, this is set in FNVconfig.h based on
 the compilation target; however, this can be overridden by editing
 that file or by defining certain symbols in, for example, a command
 line invoking compilation. -->

</t>

<t>For support of a single FNV size, say "xxx", "xxx" (e.g., FNV64), in an application, the
application itself needs to include the appropriate FNVxxx.h file (which will, in turn,
include the FNVconfig.h and FNVErrorCodes.h) files. FNVErrorCodes.h files).  To build the
particular FNVxxx code itself, compile the FNVxxx.c file with
FNVconfig.h, fnv-private.h, FNVErrorCodes.h, and FNVxxx.h
available. (available in <xref target="sec-8.2"/>). Since the test program provided in Section 8.3 <xref target="sec-8.3"/> uses all sizes of FNV, all the .c and .h files are needed to compile it.</t>

  </section>
  <section> it.

<!-- 8.1.3 [rfced] Section 8.1.2:  We had trouble following these sentences.
We updated them as follows.  If these updates are incorrect, please
clarify the text.

Original:
 For support of a single FNV size, say "xxx", in an application, the
 application itself needs to include the FNVxxx.h (which will, in
 turn, include the FNVconfig.h and FNVErrorCodes.h) files.  To build
 the particular FNVxxx code itself, compile the FNVxxx.c file with
 FNVconfig.h, fnv-private.h, FNVErrorCodes.h, and FNVxxx.h available.

Currently:
 For support of a single FNV size, say "xxx" (e.g., FNV64), in an
 application, the application itself needs to include the appropriate
 FNVxxx.h file (which will, in turn, include the FNVconfig.h and
 FNVErrorCodes.h files).  To build the particular FNVxxx code itself,
 compile the FNVxxx.c file with FNVconfig.h, fnv-private.h,
 FNVErrorCodes.h, and FNVxxx.h (available in Section 8.2). -->

</t>

  </section>
  <section anchor="sec-8.1.3">
    <name>Command Line Interface</name>

    <t>The test program provided in Section 8.3 <xref target="sec-8.3"/> has a command line
    interface. By default, with no command line arguments, it runs
    tests of all FNV lengths. Command line options are as follows:</t>

<artwork align="center" type="ascii-art"> align="left"><![CDATA[   FNVhash [-a] [-h] [-t nnn] [-u nnn] [-v] [-f filename] [token ...]
</artwork>
]]></artwork>

<t>The option letters have the following meaning:</t>

<dl> meanings:</t>

<dl newline="false">
  <dt>-a</dt><dd>Run tests for all lengths.</dd>

  <dt>-h</dt><dd>Print a help message about the command line.</dd>

  <dt>-v</dt><dd>Complement the Verbose flag flag, which is initially
  off. When the flag is on, the program prints more information during
  tests, etc.</dd>

  <dt>-t nnn</dt><dd>Run tests for length nnn nnn, which must be one of 32,
  64, 128, 256, 512, or 1024.</dd>

  <dt>-u nnn</dt><dd>Use hash size nnn nnn, which must be one of 32, 64,
  128, 256, 512, or 1024. This is useful to set for setting the hash size for use
  by the -f option or in hashing tokens on the command line after the
  options.</dd>

  <dt>-f filename</dt><dd>Hash the contents of the file with name
  filename. The hash size must have been set by a prior -t or -u
  option in the command line.</dd>

  <dt>token</dt><dd>Tokens appearing on the command line after the
  options are hashed with the current hash size size, which must have been
  set by a prior -t or -u option in the command line.</dd>

</dl>

<t>For example,</t>
<artwork align="center" type="ascii-art"> align="left"><![CDATA[      FNVhash -t 128 -h -v -t 64 -v -u 256 -f foobar.txt RabOof 1234
</artwork>
]]></artwork>
<t>runs tests for FNV128, then prints a command line help message,
then turns on Verbose, then runs the tests for FNV64, then turns off
Verbose, then sets the hash size to 256, then hashes the contents of
file foobar.txt, then hashes the token "RabOof", and finally hashes
the token "1234".</t>

  </section>
</section>

<section>  <!-- 8.2 -->

<section anchor="sec-8.2">
  <name>FNV-1a C Code</name>

  <t>This section provides the direct FNV-1a function for each of the
  lengths for which it is specified in this document.</t>

<t>The following is a configuration header to set whether 64-bit
integers are supported and establish an enum used for return
values.</t>

<!-- [rfced] Sections 8.2 and subsequent: We changed instances of
"RFC NNNN" to "RFC 9923". Please let us know any concerns. -->

<sourcecode type="C" type="c" markers="true" name="FNVconfig.h">
<![CDATA[ name="FNVconfig.h"><![CDATA[
//************************ FNVconfig.h **************************//
//**************** See RFC NNNN 9923 for details. ********************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 *
 * See fnv-private.h for terms of use and redistribution.
 */

#ifndef _FNVconfig_H_
#define _FNVconfig_H_

/*
 *  Description:
 *      This file provides configuration ifdefs for the
 *      FNV-1a non-cryptographic hash algorithms. */

/*      FNV_64bitIntegers - Define this if your system supports
 *          64-bit arithmetic including 32-bit x 32-bit
 *          multiplication producing a 64-bit product.  If
 *          undefined, it will be assumed that 32-bit arithmetic
 *          is supported including 16-bit x 16-bit multiplication
 *          producing a 32-bit result.
 */

#include <stdint.h>

/* Check if 64-bit integers are supported in the target */

#ifdef UINT64_MAX
    #define FNV_64bitIntegers
#else
    #undef FNV_64bitIntegers
#endif

/*      The following allows overriding the
 *      above configuration setting.
 */

#ifdef FNV_TEST_PROGRAM
# ifdef TEST_FNV_64bitIntegers
#  ifndef FNV_64bitIntegers
#   define FNV_64bitIntegers
#  endif
# else
#  undef FNV_64bitIntegers
# endif
# ifndef FNV_64bitIntegers /* causes an error if uint64_t is used */
#  undef uint64_t
#  define uint64_t no_64_bit_integers
# endif
#endif

#endif /* _FNVconfig_H_ */
]]></sourcecode>

<t>The following code is a simple header file to define the return
value error codes for the FNV routines.</t>

<sourcecode type="C" type="c" markers="true" name="FNVErrorCodes.h"> name="FNVErrorCodes.h"><![CDATA[
//********************** FNVErrorCodes.h **************************//
//**************** See RFC NNNN 9923 for details. **********************//
/* Copyright (c) 2016, 2023, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

#ifndef _FNV_ErrCodes_
#define _FNV_ErrCodes_
//****************************************************************//
//
//  All FNV functions, except the FNVxxxfile functions,
//    return an integer as follows:
//       0 -> success
//      >0 -> error as listed below
//
enum {    /* success and errors */
    fnvSuccess = 0,
    fnvNull,        // 1 Null pointer parameter
    fnvStateError,  // 2 called Input after Result or before Init
    fnvBadParam     // 3 passed a bad parameter
};
#endif /* _FNV_ErrCodes_ */
</sourcecode>
]]></sourcecode>

  <t>The following code is a private header file that is used by all the FNV
  functions further below and which that states the terms for use and
  redistribution of all of this source code.</t>

  <sourcecode type="C" type="c" markers="true" name="fnv-private.h">
    //********************** name="fnv-private.h"><![CDATA[
//************************ fnv-private.h ************************//
//**************** **************************//
//****************** See RFC NNNN 9923 for details *******************// details. ********************//
/* Copyright (c) 2016, 2023, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *
 * *  Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * *  Redistributions in binary form must reproduce the above
 *    copyright notice, this list of conditions and the following
 *    disclaimer in the documentation and/or other materials provided
 *    with the distribution.
 *
 * *  Neither the name of Internet Society, IETF or IETF Trust, nor
 *    the names of specific contributors, may be used to endorse or
 *    promote products derived from this software without specific
 *    prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND
 * CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,
 * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
 * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
 * DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS
 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
 * TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
 * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR
 * TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
 * THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 */

#ifndef _FNV_PRIVATE_H_
#define _FNV_PRIVATE_H_

/*
 *      Six FNV-1a hashes are defined with these sizes:
 *              FNV32          32 bits, 4 bytes
 *              FNV64          64 bits, 8 bytes
 *              FNV128         128 bits, 16 bytes
 *              FNV256         256 bits, 32 bytes
 *              FNV512         512 bits, 64 bytes
 *              FNV1024        1024 bits, 128 bytes
 */

/* Private stuff used by this implementation of the FNV
 * (Fowler, Noll, Vo) (Fowler/Noll/Vo) non-cryptographic hash function FNV-1a.
 * External callers don't need to know any of this. */

enum {  /* State value bases for context->Computed */
    FNVinited = 22,
    FNVcomputed = 76,
    FNVemptied = 220,
    FNVclobber = 122 /* known bad value for testing */
};

/* Deltas to assure distinct state values for different lengths */
enum {
   FNV32state = 1,
   FNV64state = 3,
   FNV128state = 5,
   FNV256state = 7,
   FNV512state = 11,
   FNV1024state = 13
};

#endif /* _FNV_PRIVATE_H_ */
</sourcecode>
]]></sourcecode>

<section>
  <name>FNV32 Code</name>

<t>The following code is the header and C source for 32-bit FNV-1a providing a 32-bit
integer or 4-byte vector hash.</t>

<sourcecode type="C" type="c" markers="true" name="FNV32.h">
<![CDATA[ name="FNV32.h"><![CDATA[
//*************************** FNV32.h ****************************//
//****************** See RFC NNNN 9923 for details ********************// details. *******************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

#ifndef _FNV32_H_
#define _FNV32_H_

/*
 *  Description:
 *      This file provides headers for the 32-bit version of
 *      the FNV-1a non-cryptographic hash algorithm.
 */

#include "FNVconfig.h"
#include "FNVErrorCodes.h"

#include <stdint.h>
#define FNV32size (32/8)
#define FNV32basis 0x811C9DC5

/* If you do not have the ISO standard stdint.h header file, then
 * you must typedef the following types:
 *
 *    type              meaning
 *  uint32_t    unsigned 32-bit integer
 *  uint8_t     unsigned 8-bit integer (i.e., unsigned char)
 */

/*
 *  This structure holds context information for an FNV32 hash
 */
typedef struct FNV32context_s {
    int Computed;  /* state */
    uint32_t Hash;
} FNV32context;

/*
 *  Function Prototypes:
 *
 *    FNV32string: hash a zero-terminated string not including
 *                 the terminating zero
 *    FNV32stringBasis: also takes an offset_basis parameter
 *
 *    FNV32block: hash a specified length byte vector
 *    FNV32blockBasis: also takes an offset_basis parameter
 *
 *    FNV32file: hash the contents of a file
 *    FNV32fileBasis: also takes an offset_basis parameter
 *
 *    FNV32init:  initializes an FNV32 context
 *    FNV32initBasis: initializes an FNV32 context with a
 *                    provided 4-byte vector basis
 *    FNV32blockin:  hash in a specified length byte vector
 *    FNV32stringin: hash in a zero-terminated string not
 *                   including the terminating zero
 *    FNV32filein: hash in the contents of a file
 *    FNV32result: returns the hash value
 *
 * Hash is returned as a 4-byte vector by the functions above,
 *    and the following return a 32-bit unsigned integer:
 *
 *    FNV32INTstring: hash a zero-terminated string not including
 *                 the terminating zero
 *    FNV32INTstringBasis: also takes an offset_basis parameter
 *
 *    FNV32INTblock: hash a specified length byte vector
 *    FNV32INTblockBasis: also takes an offset_basis parameter
 *
 *    FNV32INTfile: hash the contents of a file
 *    FNV32INTfileBasis: also takes an offset_basis parameter
 *
 *    FNV32INTinitBasis: initializes an FNV32 context with a
 *                     provided 32-bit integer basis
 *    FNV32INTresult: returns the hash value
 */

#ifdef __cplusplus
extern "C" {
#endif

/* FNV32 */
extern int FNV32INTstring ( const char *in,
                            uint32_t * const out );
extern int FNV32INTstringBasis ( const char *in,
                                 uint32_t * const out,
                                 uint32_t basis );
extern int FNV32string ( const char *in,
                         uint8_t out[FNV32size] );
extern int FNV32stringBasis ( const char *in,
                              uint8_t out[FNV32size],
                              const uint8_t basis[FNV32size] );
extern int FNV32INTblock ( const void *vin,
                           long int length,
                           uint32_t * const out );
extern int FNV32INTblockBasis ( const void *vin,
                                long int length,
                                uint32_t * const out,
                                uint32_t basis );
extern int FNV32block ( const void *vin,
                        long int length,
                        uint8_t out[FNV32size] );
extern int FNV32blockBasis ( const void *vin,
                             long int length,
                             uint8_t out[FNV32size],
                             const uint8_t basis[FNV32size] );
extern int FNV32INTfile ( const char *fname,
                          uint32_t * const out );
extern int FNV32INTfileBasis ( const char *fname,
                               uint32_t * const out,
                               uint32_t basis );
extern int FNV32file ( const char *fname,
                       uint8_t out[FNV32size] );
extern int FNV32fileBasis ( const char *fname,
                            uint8_t out[FNV32size],
                            const uint8_t basis[FNV32size] );
extern int FNV32init ( FNV32context * const );
extern int FNV32INTinitBasis ( FNV32context * const,
                               uint32_t basis );
extern int FNV32initBasis ( FNV32context * const,
                            const uint8_t basis[FNV32size] );
extern int FNV32blockin ( FNV32context * const,
                          const void *vin,
                          long int length );
extern int FNV32stringin ( FNV32context * const,
                           const char *in );
extern int FNV32filein ( FNV32context * const,
                         const char *fname );
extern int FNV32INTresult ( FNV32context * const,
                            uint32_t * const out );
extern int FNV32result ( FNV32context * const,
                         uint8_t out[FNV32size] );

#ifdef __cplusplus
}
#endif

#endif /* _FNV32_H_ */
]]></sourcecode>

<!-- [rfced] Sections 8.2.1 and subsequent:  Does "a specified length
byte vector" mean "a specified 'length byte vector'", "a byte vector
of specified length", or something else?  We ask because we see text
such as "4-byte vector" and "the same size byte vectors" used
elsewhere.  Please clarify.

Examples from original:
 *    FNV32block: hash a specified length byte vector
...
 *    FNV32blockin:  hash in a specified length byte vector
...
 *    FNV32INTblock: hash a specified length byte vector
...
 *    FNV64block: hash a specified length byte vector -->

<sourcecode type="C" type="c" markers="true" name="FNV32.c">
<![CDATA[ name="FNV32.c"><![CDATA[
//************************** FNV32.c **************************//
//**************** See RFC NNNN 9923 for details. ******************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

/* This code implements the FNV (Fowler, Noll, Vo) (Fowler/Noll/Vo) non-cryptographic
 * hash function FNV-1a for 32-bit hashes.
 */

#include <stdio.h>

#include "fnv-private.h"
#include "FNV32.h"

/* 32-bit FNV_prime = 2^24 + 2^8 + 0x93 */
#define FNV32prime 0x01000193

/* FNV32 hash a zero-terminated string not including the zero
*****************************************************************/
int FNV32INTstring ( const char *in, uint32_t * const out ) {
    return FNV32INTstringBasis( FNV32INTstringBasis ( in, out, FNV32basis );
}   /* end FNV32INTstring */

/* FNV32 hash a zero-terminated string not including the zero
 * with a non-standard basis
*****************************************************************/
int FNV32INTstringBasis ( const char *in,
                          uint32_t * const out,
                          uint32_t basis ) {
    uint8_t     ch;

    if ( !in || !out )
        return fnvNull; /* Null input pointer */
    while ( (ch = *in++) )
        basis = FNV32prime * ( basis ^ ch );
    *out = basis;
    return fnvSuccess;
}   /* end FNV32INTstringBasis */

/* FNV32 hash a zero-terminated string not including the zero
*****************************************************************/
int FNV32string ( const char *in, uint8_t out[FNV32size] ) {
    uint32_t    temp;
    uint8_t     ch;

    if ( !in || !out )
        return fnvNull; /* Null input pointer */
    temp = FNV32basis;
    while ( (ch = *in++) )
        temp = FNV32prime * ( temp ^ ch );
    for ( int i=0; i<FNV32size; ++i )
        out[i] = ((uint8_t *)&temp)[i];
    return fnvSuccess;
}   /* end FNV32string */

/* FNV32 hash a zero-terminated string not including the zero
 * with a non-standard basis
*****************************************************************/
int FNV32stringBasis ( const char *in,
                       uint8_t out[FNV32size],
                       const uint8_t basis[FNV32size] ) {
    uint32_t temp;
    int i;
    uint8_t ch;

    if ( !in || !out || !basis )
        return fnvNull; /* Null input pointer */
    temp = basis[0]+(basis[1]<<8)+(basis[2]<<16)+(basis[3]<<24);
    while ( (ch = *in++) )
        temp = FNV32prime * ( temp ^ ch );
    out[0] = temp & 0xFF;
    for ( i=1; i<FNV32size; ++i ) {
        temp >>= 8;
        out[i] = temp & 0xFF;
    }
    return fnvSuccess;
}   /* end FNV32stringBasis */

/* FNV32 hash a counted block returning an integer
 ****************************************************************/
int FNV32INTblock ( const void *vin,
                   long int length,
                   uint32_t * const out ) {
    return FNV32INTblockBasis ( vin, length, out, FNV32basis );
}   /* end FNV32INTblock */

/* FNV32 hash a counted block with a non-standard basis
 ****************************************************************/
int FNV32INTblockBasis ( const void *vin,
                 long int length,
                 uint32_t * const out,
                 uint32_t basis ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp;

    if ( !in || !out )
        return fnvNull; /* Null input pointer */
    if ( length < 0 )
        return fnvBadParam;
    for ( temp = basis; length > 0; length-- )
        temp = FNV32prime * ( temp ^ *in++ );
    *out = temp;
    return fnvSuccess;
}   /* end FNV32INTblockBasis */

/* FNV32 hash a counted block returning a 4-byte vector
 ****************************************************************/
int FNV32block ( const void *vin,
                 long int length,
                 uint8_t out[FNV32size] ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp;

    if ( !in || !out )
        return fnvNull; /* Null input pointer */
    if ( length < 0 )
        return fnvBadParam;
    for ( temp = FNV32basis; length > 0; length-- )
        temp = FNV32prime * ( temp ^ *in++ );
    for ( int i=0; i<FNV32size; ++i )
        out[i] = ((uint8_t *)&temp)[i];
    return fnvSuccess;
}   /* end FNV32block */

/* FNV32 hash a counted block with a non-standard basis
 ****************************************************************/
int FNV32blockBasis ( const void *vin,
                 long int length,
                 uint8_t out[FNV32size],
                 const uint8_t basis[FNV32size] ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp;

    if ( !in || !out || !basis )
        return fnvNull; /* Null input pointer */
    if ( length < 0 )
        return fnvBadParam;
    temp = basis[0]+(basis[1]<<8)+(basis[2]<<16)+(basis[3]<<24);
    for ( ; length > 0; length-- )
        temp = FNV32prime * ( temp ^ *in++ );
    for ( int i=0; i<FNV32size; ++i )
        out[i] = ((uint8_t *)&temp)[i];
    return fnvSuccess;
}   /* end FNV32blockBasis */

/* hash the contents of a file, return 32-bit integer
 ******************************************************************/
int FNV32INTfile ( const char *fname,
                   uint32_t * const out ) {
    return FNV32INTfileBasis ( fname, out, FNV32basis );
}   /* end FNV32INTfile */

/* hash the contents of a file, return 32-bit integer
 * with a non-standard basis
 ******************************************************************/
int FNV32INTfileBasis ( const char *fname,
                        uint32_t * const out,
                        uint32_t basis ) {
    FNV32context e32Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV32INTinitBasis ( &e32Context, basis )) )
        return error;
    if ( (error = FNV32filein ( &e32Context, fname )) )
        return error;
    return FNV32INTresult ( &e32Context, out );
}   /* end FNV32INTfileBasis */

/* hash the contents of a file, return 4-byte vector
 ******************************************************************/
int FNV32file ( const char *fname,
                uint8_t out[FNV32size] ) {
    FNV32context e32Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV32init (&e32Context)) )
        return error;
    if ( (error = FNV32filein ( &e32Context, fname)) )
        return error;
    return FNV32result ( &e32Context, out );
}   /* end FNV32file */

/* hash the contents of a file, return 4-byte vector
 * with a non-standard basis
 ******************************************************************/
int FNV32fileBasis ( const char *fname,
                     uint8_t out[FNV32size],
                     const uint8_t basis[FNV32size] ) {
    FNV32context e32Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV32initBasis (&e32Context, basis)) )
        return error;
    if ( (error = FNV32filein ( &e32Context, fname)) )
        return error;
    return FNV32result ( &e32Context, out );
}   /* end FNV32fileBasis */

//**************************************************************
//       Set of init, input, and output functions below
//       to incrementally compute FNV32
//**************************************************************

/* initialize context
 ***************************************************************/
int FNV32init ( FNV32context * const ctx ) {
    return FNV32INTinitBasis ( ctx, FNV32basis );
}   /* end FNV32init */

/* initialize context with a provided 32-bit integer basis
 ***************************************************************/
int FNV32INTinitBasis ( FNV32context * const ctx,
                        uint32_t basis ) {
    if ( !ctx )
        return fnvNull;
    ctx->Hash = basis;
    ctx->Computed = FNVinited+FNV32state;
    return fnvSuccess;
}   /* end FNV32INTinitBasis */

/* initialize context with a provided 4-byte vector basis
 ***************************************************************/
int FNV32initBasis ( FNV32context * const ctx,
                     const uint8_t basis[FNV32size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    ctx->Hash =
        basis[0]+(basis[1]<<8)+(basis[2]<<16)+(basis[3]<<24);
    ctx->Computed = FNVinited+FNV32state;
    return fnvSuccess;
}   /* end FNV32initBasis */

/* hash in a counted block
 ***************************************************************/
int FNV32blockin ( FNV32context * const ctx,
                   const void *vin,
                   long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV32state:
            ctx->Computed = FNVcomputed+FNV32state;
            break;
        case FNVcomputed+FNV32state:
            break;
        default:
            return fnvStateError;
    }
    for ( temp = ctx->Hash; length > 0; length-- )
        temp = FNV32prime * ( temp ^ *in++ );
    ctx->Hash = temp;
    return fnvSuccess;
}   /* end FNV32blockin */

/* hash in a zero-terminated string not including the zero
 ***************************************************************/
int FNV32stringin ( FNV32context * const ctx, const char *in ) {
    uint32_t temp;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV32state:
            ctx->Computed = FNVcomputed+FNV32state;
            break;
        case FNVcomputed+FNV32state:
            break;
        default:
            return fnvStateError;
    }
    temp = ctx->Hash;
    while ( (ch = (uint8_t)*in++) )
        temp = FNV32prime * ( temp ^ ch );
    ctx->Hash = temp;
    return fnvSuccess;
}   /* end FNV32stringin */

/* hash in the contents of a file
 ******************************************************************/
int FNV32filein ( FNV32context * const e32Context,
                  const char *fname ) {
    FILE *fp;
    long int i;
    char buf[1024];
    int error;

    if ( !e32Context || !fname )
        return fnvNull;
    switch ( e32Context->Computed ) {
        case FNVinited+FNV32state:
            e32Context->Computed = FNVcomputed+FNV32state;
            break;
        case FNVcomputed+FNV32state:
            break;
        default:
            return fnvStateError;
    }
    if ( ( fp = fopen ( fname, "rb") ) == NULL )
        return fnvBadParam;
    if ( (error = FNV32blockin ( e32Context, "", 0)) ) {
        fclose(fp);
        return error;
    }
    while ( ( i = fread ( buf, 1, sizeof(buf), fp ) ) > 0 )
        if ( (error = FNV32blockin ( e32Context, buf, i)) ) {
            fclose(fp);
            return error;
        }
    error = ferror(fp);
    fclose(fp);
    if (error) return fnvBadParam;
    return fnvSuccess;
}   /* end FNV32filein */

/* return hash as an integer
 ***************************************************************/
int FNV32INTresult ( FNV32context * const ctx,
                     uint32_t * const out ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV32state )
        return fnvStateError;
    ctx->Computed = FNVemptied+FNV32state;
    *out = ctx->Hash;
    ctx->Hash = 0;
    return fnvSuccess;
}   /* end FNV32INTresult */

/* return hash as a 4-byte vector
 ***************************************************************/
int FNV32result ( FNV32context * const ctx,
                  uint8_t out[FNV32size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV32state )
        return fnvStateError;
    ctx->Computed = FNVemptied+FNV32state;
    for ( int i=0; i<FNV32size; ++i )
        out[i] = ((uint8_t *)&ctx->Hash)[i];
    ctx->Hash = 0;
    return fnvSuccess;
}   /* end FNV32result */
]]></sourcecode>

<!-- [rfced] Sections 8.2.1 and subsequent:  Do instances of
"FNV32 hash a ...", "FNV64 hash a", etc. mean "FNV32-hash a ...",
"FNV64-hash a", etc. (i.e., to indicate verbs), or do they mean
"FNV32: Hash a ...", "FNV64: Hash a", etc. (to indicate instructions,
e.g., per "Hash the contents of the file" in Section 8.1.3)?

Examples from original:
 /* FNV32 hash a zero-terminated string not including the zero
...
 /* FNV64 hash a zero-terminated string not including the zero
...
 *    FNV64string: hash a zero-terminated string not including
...
 *    FNV32block: hash a specified length byte vector
...
 *    FNV32blockin:  hash in a specified length byte vector -->

</section>

<!-- [rfced] Sections 8.2.2 and subsequent:  Please note that we
removed or added spaces in the following code items.

Original (these are most of the items that we modified):
 int  error;  (2 instances)
 int     rc;
 FNV128context  ctx;
 ( memcmp ( was, should, N) != 0 )
 (uint8_t *)0 ,   (we only found one instance of a space before a
                   comma, so we removed the space here)
 TestR ( "result2", fnvNull, RSLT ( &CTX, (uint8_t *)0  ) );
 FNV128result ( &e128Context, hash  ) );
 TestR ( "result3i", fnvStateError, RSLTINT ( &ctx, &INTV  ) );

The spacing changes can be seen in the latest rfc9923-rfcdiff file.

Please let us know if you do not agree with these changes, and we
will revert them.

Please also note that we did not make any changes to
Stefan Santesson's code, as we consider it "Do Not Edit" (DNE)
and have flagged it as such in the XML file. -->

<section>
  <name>FNV64 Code</name>

<t>The following code is the header and C source for 64-bit FNV-1a. Provides FNV-1a providing an 8-byte
vector or, optionally, if 64-bit integers are supported, a 64-bit
integer hash.</t>

<sourcecode type="C" type="c" markers="true" name="FNV64.h">
<![CDATA[ name="FNV64.h"><![CDATA[
//*************************** FNV64.h ****************************//
//***************** See RFC NNNN 9923 for details. ********************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

#ifndef _FNV64_H_
#define _FNV64_H_

/*
 *  Description:
 *      This file provides headers for the 64-bit version of
 *      the FNV-1a non-cryptographic hash algorithm.
 */

#include "FNVconfig.h"
#include "FNVErrorCodes.h"

#include <stdint.h>
#define FNV64size (64/8)
#ifdef FNV_64bitIntegers
#define FNV64basis 0xCBF29CE484222325
#endif

/* If you do not have the ISO standard stdint.h header file, then
 * you must typedef the following types:
 *
 *    type              meaning
 *  uint64_t    unsigned 64-bit integer (ifdef FNV_64bitIntegers)
 *  uint32_t    unsigned 32-bit integer
 *  uint16_t    unsigned 16-bit integer
 *  uint8_t     unsigned 8-bit integer (i.e., unsigned char)
 */

/*
 *  This structure holds context information for an FNV64 hash
 */
#ifdef FNV_64bitIntegers
    /* version if 64-bit integers supported */
typedef struct FNV64context_s {
        int Computed;  /* state */
        uint64_t Hash;
} FNV64context;

#else
    /* version if 64-bit integers NOT supported */
typedef struct FNV64context_s {
        int Computed;  /* state */
        uint16_t Hash[FNV64size/2];
} FNV64context;

#endif /* FNV_64bitIntegers */

/*  Function Prototypes:
 *
 *    FNV64string: hash a zero-terminated string not including
 *                 the terminating zero
 *    FNV164stringBasis:    FNV64stringBasis: also takes an offset_basis parameter
 *
 *    FNV64block: hash a specified length byte vector
 *    FNV64blockBasis: also takes an offset_basis parameter
 *
 *    FNV64file: hash the contents of a file
 *    FNV128fileBasis: also takes an offset_basis parameter
 *
 *    FNV64init: initializes an FNV64 context
 *    FNV64initBasis: initializes an FNV64 context with a
 *                    provided 8-byte vector basis
 *    FNV64blockin: hash in a specified length byte vector
 *    FNV64stringin: hash in a zero-terminated string not
 *                   including the terminating zero
 *    FNV128filein: hash in the contents of a file
 *    FNV64result: returns the hash value
 *
 * Hash is returned as an 8-byte vector by the functions above.
 *    If 64-bit integers are supported, the following return
 *    a 64-bit integer.
 *
 *    FNV64INTstring: hash a zero-terminated string not including
 *                 the terminating zero
 *    FNV32INTstringBasis: also takes an offset_basis parameter
 *
 *    FNV64INTblock: hash a specified length byte vector
 *    FNV32INTblockBasis: also takes an offset_basis parameter
 *
 *    FNV64INTfile: hash the contents of a file
 *    FNV32INTfileBasis: also takes an offset_basis parameter
 *
 *    FNV64INTinitBasis: initializes an FNV32 context with a
 *                     provided 64-bit integer basis
 *    FNV64INTresult: returns the hash value
 */

#ifdef __cplusplus
extern "C" {
#endif

/* FNV64 */
extern int FNV64string ( const char *in,
                         uint8_t out[FNV64size] );
extern int FNV64stringBasis ( const char *in,
                              uint8_t out[FNV64size],
                              const uint8_t basis[FNV64size] );
extern int FNV64block ( const void *vin,
                        long int length,
                        uint8_t out[FNV64size] );
extern int FNV64blockBasis ( const void *vin,
                             long int length,
                             uint8_t out[FNV64size],
                             const uint8_t basis[FNV64size] );
extern int FNV64file ( const char * fname,
                       uint8_t out[FNV64size] );
extern int FNV64fileBasis ( const char * fname,
                            uint8_t out[FNV64size],
                            const uint8_t basis[FNV64size] );
extern int FNV64init ( FNV64context * const );
extern int FNV64initBasis ( FNV64context * const,
                            const uint8_t basis[FNV64size] );
extern int FNV64blockin ( FNV64context * const,
                          const void * vin,
                          long int length );
extern int FNV64stringin ( FNV64context * const,
                           const char * in );
extern int FNV64filein ( FNV64context * const,
                        const char *fname );
extern int FNV64result ( FNV64context * const,
                         uint8_t out[FNV64size] );

#ifdef FNV_64bitIntegers
  extern int FNV64INTstring ( const char *in,
                              uint64_t * const out );
  extern int FNV64INTstringBasis ( const char *in,
                                   uint64_t * const out,
                                   uint64_t basis );
  extern int FNV64INTblock ( const void *vin,
                             long int length,
                             uint64_t * const out );
  extern int FNV64INTblockBasis ( const void *vin,
                                  long int length,
                                  uint64_t * const out,
                                  uint64_t basis );
  extern int FNV64INTfile ( const char * fname,
                            uint64_t * const out );
  extern int FNV64INTfileBasis ( const char * fname,
                                 uint64_t * const out,
                                 uint64_t basis );
  extern int FNV64INTinitBasis ( FNV64context * const,
                                 uint64_t basis );
  extern int FNV64INTresult ( FNV64context * const,
                              uint64_t * const out );
#endif /* FNV_64bitIntegers */

#ifdef __cplusplus
}
#endif

#endif /* _FNV64_H_ */
]]></sourcecode>

<!-- [rfced] Section 8.2.2:  Please review the items listed under
"Function Prototypes:" and under the "Hash is returned as an 8-byte
vector by the functions above.  If 64-bit integers are supported"
text in this section.  Because it appears that the focus here is on
"FNV64" parameters and there may have been some copy-paste issues in
this section, please review the following, and advise:

a) Because it appears that "FNV164stringBasis" should be
"FNV64stringBasis", we updated accordingly.  Please let us know
if this is incorrect.

Original:
  *    FNV164stringBasis: also takes an offset_basis parameter

Currently:
  *    FNV64stringBasis: also takes an offset_basis parameter

b) It appears that "FNV128fileBasis" and "FNV128filein" should be
"FNV64fileBasis" and "FNV64filein".  May we update accordingly?

Original:
 *    FNV64file: hash the contents of a file
 *    FNV128fileBasis: also takes an offset_basis parameter
 *
 *    FNV64init: initializes an FNV64 context
 *    FNV64initBasis: initializes an FNV64 context with a
 *                    provided 8-byte vector basis
 *    FNV64blockin: hash in a specified length byte vector
 *    FNV64stringin: hash in a zero-terminated string not
 *                   including the terminating zero
 *    FNV128filein: hash in the contents of a file
 *    FNV64result: returns the hash value

c) It appears that "FNV32INTstringBasis", "FNV32INTblockBasis", and
"FNV32INTfileBasis" should be "FNV64INTstringBasis",
"FNV64INTblockBasis", and "FNV64INTfileBasis".  Should we update
accordingly?

Original:
 *    FNV64INTstring: hash a zero-terminated string not including
 *                 the terminating zero
 *    FNV32INTstringBasis: also takes an offset_basis parameter
 *
 *    FNV64INTblock: hash a specified length byte vector
 *    FNV32INTblockBasis: also takes an offset_basis parameter
 *
 *    FNV64INTfile: hash the contents of a file
 *    FNV32INTfileBasis: also takes an offset_basis parameter
 *
 *    FNV64INTinitBasis: initializes an FNV32 context with a
 *                     provided 64-bit integer basis

d) Should "FNV64INTinitBasis: initializes an FNV32 context" be
"FNV64INTinitBasis: initializes an FNV64 context"?

 Original:
  FNV64INTinitBasis: initializes an FNV32 context with a -->

<sourcecode type="C" type="c" markers="true" name="FNV64.c">
<![CDATA[ name="FNV64.c"><![CDATA[
//*************************** FNV64.c ****************************//
//****************** See RFC NNNN 9923 for details ********************// details. *******************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

/* This file implements the FNV (Fowler, Noll, Vo) (Fowler/Noll/Vo) non-cryptographic
 * hash function FNV-1a for 64-bit hashes.
 */

#include <stdio.h>

#include "FNVconfig.h"
#include "fnv-private.h"
#include "FNV64.h"

//*****************************************************************
// CODE THAT IS THE SAME FOR 32-BIT and 64-BIT ARITHMETIC
//*****************************************************************

/* hash the contents of a file, return byte vector
 ******************************************************************/
int FNV64file ( const char *fname,
                uint8_t out[FNV64size] ) {
    FNV64context e64Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV64init (&e64Context)) )
        return error;
    if ( (error = FNV64filein (&e64Context, fname)) )
        return error;
    return FNV64result (&e64Context, out);
}   /* end FNV64file */

/* hash the contents of a file, return 64-bit integer
 * with a non-standard basis
 ******************************************************************/
int FNV64fileBasis ( const char *fname,
                     uint8_t out[FNV64size],
                     const uint8_t basis[FNV64size] ) {
    FNV64context e64Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV64initBasis (&e64Context, basis)) )
        return error;
    if ( (error = FNV64filein (&e64Context, fname)) )
        return error;
    return FNV64result (&e64Context, out);
}   /* end FNV64fileBasis */

/* hash in the contents of a file
 ******************************************************************/
int FNV64filein ( FNV64context * const e64Context,
                  const char *fname ) {
    FILE *fp;
    long int i;
    char buf[1024];
    int error;

    if ( !e64Context || !fname )
        return fnvNull;
    switch ( e64Context->Computed ) {
        case FNVinited+FNV64state:
            e64Context->Computed = FNVcomputed+FNV64state;
            break;
        case FNVcomputed+FNV64state:
            break;
        default:
            return fnvStateError;
    }
    if ( ( fp = fopen ( fname, "rb") ) == NULL )
        return fnvBadParam;
    if ( (error = FNV64blockin ( e64Context, "", 0)) ) {
        fclose(fp);
        return error;
    }
    while ( ( i = fread ( buf, 1, sizeof(buf), fp ) ) > 0 )
        if ( (error = FNV64blockin ( e64Context, buf, i)) ) {
            fclose(fp);
            return error;
        }
    error = ferror(fp);
    fclose(fp);
    if (error)
        return fnvBadParam;
    return fnvSuccess;
}

//*****************************************************************
// START VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//*****************************************************************
#ifdef FNV_64bitIntegers

/* 64-bit FNV_prime = 2^40 + 2^8 + 0xb3 */
#define FNV64prime 0x00000100000001B3

/* FNV64 hash a zero-terminated string not including the zero
 * to a 64-bit integer  (64-bit)
 ******************************************************************/
int FNV64INTstring ( const char *in, uint64_t * const out ) {
    return FNV64INTstringBasis (in, ( in, out, FNV64basis );
}   /* end FNV64INTstring */

/* FNV64 hash a zero-terminated string not including the zero
 * to a 64-bit integer  (64-bit) with a non-standard basis
 ******************************************************************/
int FNV64INTstringBasis ( const char *in,
                          uint64_t * const out,
                          uint64_t basis ) {
    uint64_t temp;
    uint8_t ch;

    if ( !in || !out )
        return fnvNull; /* Null input pointer */
    temp = basis;
    while ( (ch = *in++) )
        temp = FNV64prime * ( temp ^ ch );
    *out = temp;
    return fnvSuccess;
}   /* end FNV64INTstringBasis */

/* FNV64 hash a zero-terminated string to a 64-bit integer
 * to a byte vector  (64-bit)
 ******************************************************************/
int FNV64string ( const char *in, uint8_t out[FNV64size] ) {
    uint64_t temp;
    uint8_t ch;

    if ( !in || !out )
        return fnvNull; /* Null input pointer */
    temp = FNV64basis;
    while ( (ch = *in++) )
        temp = FNV64prime * ( temp ^ ch );
    for ( int i=0; i<FNV64size; ++i )
        out[i] = ((uint8_t *)&temp)[i];
    return fnvSuccess;
}   /* end FNV64string */

/* FNV64 hash a zero-terminated string to a 64-bit integer
 * to a byte vector  (64-bit) with a non-standard basis
 ******************************************************************/
int FNV64stringBasis ( const char *in,
                       uint8_t out[FNV64size],
                       const uint8_t basis[FNV64size] ) {
    uint64_t temp;
    int i;
    uint8_t ch;

    if ( !in || !out || !basis )
        return fnvNull; /* Null input pointer */
    temp = basis[7];
    for ( i = FNV64size-2; i>=0; --i )
        temp = (temp<<8) + basis[i];
    while ( (ch = *in++) )
        temp = FNV64prime * ( temp ^ ch );
    for ( i=0; i<FNV64size; ++i )
        out[i] = ((uint8_t *)&temp)[i];
    return fnvSuccess;
}   /* end FNV64stringBasis */

/* FNV64 hash a counted block to a 64-bit integer  (64-bit)
 ******************************************************************/
int FNV64INTblock ( const void *vin,
                    long int length,
                    uint64_t * const out ) {
    return FNV64INTblockBasis ( vin, length, out, FNV64basis );
}   /* end FNV64INTblock */

/* FNV64 hash a counted block to a 64-bit integer  (64-bit)
 * with a non-standard basis
 ******************************************************************/
int FNV64INTblockBasis ( const void *vin,
                         long int length,
                         uint64_t * const out,
                         uint64_t basis ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint64_t temp;

    if ( !in || !out )
        return fnvNull; /* Null input/out pointer */
    if ( length < 0 )
        return fnvBadParam;
    for ( temp = basis; length > 0; length-- )
        temp = FNV64prime * ( temp ^ *in++ );
    *out = temp;
    return fnvSuccess;
}   /* end FNV64INTblockBasis */

/* FNV64 hash a counted block to a byte vector  (64-bit)
 ******************************************************************/
int FNV64block ( const void *vin,
                 long int length,
                 uint8_t out[FNV64size] ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint64_t temp;

    if ( !in || !out )
        return fnvNull; /* Null input/out pointer */
    if ( length < 0 )
        return fnvBadParam;
    for ( temp = FNV64basis; length > 0; length-- )
        temp = FNV64prime * ( temp ^ *in++ );
    for ( int i=0; i<FNV64size; ++i )
        out[i] = ((uint8_t *)&temp)[i];
    return fnvSuccess;
}   /* end FNV64block */

/* FNV64 hash a counted block to a byte vector  (64-bit)
 * with a non-standard basis
 ******************************************************************/
int FNV64blockBasis ( const void *vin,
                      long int length,
                      uint8_t out[FNV64size],
                      const uint8_t basis[FNV64size] ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint64_t temp;
    int i;

    if ( !in || !out || !basis )
        return fnvNull; /* Null input/out pointer */
    if ( length < 0 )
        return fnvBadParam;
    temp = basis[7];
    for ( i = FNV64size-2; i>=0; --i )
        temp = (temp<<8) + basis[i];
    for (; length > 0; length-- )
        temp = FNV64prime * ( temp ^ *in++ );
    for ( i=0; i<FNV64size; ++i )
        out[i] = ((uint8_t *)&temp)[i];
    return fnvSuccess;
}   /* end FNV64blockBasis */

//*****************************************************************
//       Set of init, input, and output functions below
//       to incrementally compute FNV64
//*****************************************************************

/* initialize context  (64-bit)
 ******************************************************************/
int FNV64init( FNV64context * const ctx ) {
    return FNV64INTinitBasis ( ctx, FNV64basis );
}       /* end FNV64init */

/* initialize context with a provided 64-bit integer basis  (64-bit)
 ******************************************************************/
int FNV64INTinitBasis( FNV64context * const ctx, uint64_t basis ) {
    if ( !ctx )
        return fnvNull;
    ctx->Hash = basis;
    ctx->Computed = FNVinited+FNV64state;
    return fnvSuccess;
}   /* end FNV64INTinitBasis */

/* initialize context with a provided 8-byte vector basis  (64-bit)
 ******************************************************************/
int FNV64initBasis( FNV64context * const ctx,
                    const uint8_t basis[FNV64size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i<FNV64size; ++i )
        ((uint8_t *)&ctx->Hash)[i] = basis[i];
    ctx->Computed = FNVinited+FNV64state;
    return fnvSuccess;
}   /* end FNV64initBasis */

/* hash in a counted block  (64-bit)
 ******************************************************************/
int FNV64blockin( FNV64context * const ctx,
                   const void *vin,
                   long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint64_t temp;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV64state:
            ctx->Computed = FNVcomputed+FNV64state;
            break;
        case FNVcomputed+FNV64state:
            break;
        default:
            return fnvStateError;
    }
    for ( temp = ctx->Hash; length > 0; length-- )
        temp = FNV64prime * ( temp ^ *in++ );
    ctx->Hash = temp;
    return fnvSuccess;
}   /* end FNV64blockin */

/* hash in a zero-terminated string not including the zero  (64-bit)
 ******************************************************************/
int FNV64stringin ( FNV64context * const ctx, const char *in ) {
    uint64_t        temp;
    uint8_t         ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV64state:
            ctx->Computed = FNVcomputed+FNV64state;
            break;
        case FNVcomputed+FNV64state:
            break;
        default:
             return fnvStateError;
    }
    temp = ctx->Hash;
    while ( (ch = (uint8_t)*in++) )
        temp = FNV64prime * ( temp ^ ch );
    ctx->Hash = temp;
    return fnvSuccess;
}   /* end FNV64stringin */

/* return hash as 64-bit int  (64-bit)
 ******************************************************************/
int FNV64INTresult ( FNV64context * const ctx,
                     uint64_t * const out ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV64state )
        return fnvStateError;
    ctx->Computed = FNVemptied+FNV64state;
    *out = ctx->Hash;
    ctx->Hash = 0;
    return fnvSuccess;
}   /* end FNV64INTresult */

/* return hash as 8-byte vector  (64-bit)
 ******************************************************************/
int FNV64result ( FNV64context * const ctx,
                 uint8_t out[FNV64size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV64state )
        return fnvStateError;
    ctx->Computed = FNVemptied+FNV64state;
    for ( int i=0; i<FNV64size; ++i )
        out[i] = ((uint8_t *)&ctx->Hash)[i];
    ctx->Hash = 0;
    return fnvSuccess;
}   /* end FNV64result */

/* hash the contents of a file, return 64-bit integer
 ******************************************************************/
int FNV64INTfile ( const char *fname,
                   uint64_t * const out ) {
    FNV64context e64Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV64init (&e64Context)) )
        return error;
    if ( (error = FNV64filein (&e64Context, fname)) )
        return error;
    return FNV64INTresult ( &e64Context, out );
}   /* end FNV64INTfile */

/* hash the contents of a file, return 64-bit integer
 * with a non-standard basis
 ******************************************************************/
int FNV64INTfileBasis ( const char *fname,
                        uint64_t * const out,
                        uint64_t basis ) {
    FNV64context e64Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV64INTinitBasis (&e64Context, basis)) )
        return error;
    if ( (error = FNV64filein (&e64Context, fname)) )
        return error;
    return FNV64INTresult ( &e64Context, out );
}   /* end FNV64INTfileBasis */

//***************************************************************
// END VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//***************************************************************
#else    /*  FNV_64bitIntegers */
//***************************************************************
// START VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//***************************************************************

/* 64-bit FNV_prime = 2^40 + 2^8 + 0xb3 */
/* #define FNV64prime 0x00000100000001B3 */
#define FNV64primeX 0x01B3
#define FNV64shift 8

/* FNV64 hash a zero-terminated string not including the zero
 ******************************************************************/
int FNV64string ( const char *in, uint8_t out[FNV64size] ) {
    FNV64context ctx;
    int error;

    if ( (error = FNV64init (&ctx)) )
        return error;
    if ( (error = FNV64stringin (&ctx, in)) )
        return error;
    return FNV64result (&ctx, out);
}   /* end FNV64string */

/* FNV64 hash a zero-terminated string not including the zero
 * with a non-standard offset_basis
 ******************************************************************/
int FNV64stringBasis ( const char *in,
                  uint8_t out[FNV64size],
                  const uint8_t basis[FNV64size] ) {
    FNV64context ctx;
    int error;

    if ( (error = FNV64initBasis (&ctx, basis)) )
        return error;
    if ( (error = FNV64stringin (&ctx, in)) )
        return error;
    return FNV64result (&ctx, out);
}   /* end FNV64stringBasis */

/* FNV64 hash a counted block
 ******************************************************************/
int FNV64block ( const void *vin,
                 long int length,
                 uint8_t out[FNV64size] ) {
    FNV64context ctx;
    int error;

    if ( (error = FNV64init (&ctx)) )
        return error;
    if ( (error = FNV64blockin (&ctx, vin, length)) )
        return error;
    return FNV64result (&ctx, out);
}   /* end FNV64block */

/* FNV64 hash a counted block with a non-standard offset_basis
 ******************************************************************/
int FNV64blockBasis ( const void *vin,
                      long int length,
                      uint8_t out[FNV64size],
                      const uint8_t basis[FNV64size] ) {
    FNV64context ctx;
    int error;

    if ( (error = FNV64initBasis (&ctx, basis)) )
        return error;
    if ( (error = FNV64blockin (&ctx, vin, length)) )
        return error;
    return FNV64result (&ctx, out);
}   /* end FNV64blockBasis */

//*****************************************************************
//        Set of init, input, and output functions below
//        to incrementally compute FNV64
//*****************************************************************

/* initialize context  (32-bit)
 ******************************************************************/
int FNV64init ( FNV64context * const ctx ) {
    if ( !ctx )
        return fnvNull;
    ctx->Hash[0] = 0xCBF2;
    ctx->Hash[1] = 0x9CE4;
    ctx->Hash[2] = 0x8422;
    ctx->Hash[3] = 0x2325;
    ctx->Computed = FNVinited+FNV64state;
    return fnvSuccess;
}   /* end FNV64init */

/* initialize context with a non-standard basis  (32-bit)
 ******************************************************************/
int FNV64initBasis ( FNV64context * const ctx,
                     const uint8_t basis[FNV64size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV64size/2; ++i ) {
        uint32_t temp = *basis++;
        ctx->Hash[i] = ( temp<<8 ) +  *basis++;
    }
    ctx->Computed = FNVinited+FNV64state;
    return fnvSuccess;
}   /* end FNV64initBasis */

/* hash in a counted block  (32-bit)
 ******************************************************************/
int FNV64blockin ( FNV64context * const ctx,
                   const void *vin,
                   long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp[FNV64size/2];
    uint32_t temp2[2];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV64state:
            ctx->Computed = FNVcomputed+FNV64state;
            break;
        case FNVcomputed+FNV64state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV64size/2; ++i )
         temp[i] = ctx->Hash[i];
    for ( ; length > 0; length-- ) {
        /* temp = FNV64prime * ( temp ^ *in++ ); */
        temp[3] ^= *in++;
        temp2[1] = temp[3] << FNV64shift;
        temp2[0] = temp[2] << FNV64shift;
        for ( i=0; i<4; ++i )
            temp[i] *= FNV64primeX;
        temp[1] += temp2[1];
        temp[0] += temp2[0];
        for ( i=2; i>=0; --i ) {
            temp[i] += temp[i+1] >> 16;
            temp[i+1] &= 0xFFFF;
        }
    }
    for ( i=0; i<FNV64size/2; ++i )
        ctx->Hash[i] = temp[i];
    return fnvSuccess;
}   /* end FNV64blockin */

/* hash in a zero-terminated string not including the zero  (32-bit)
 ******************************************************************/
int FNV64stringin ( FNV64context * const ctx, const char *in ) {
    uint32_t temp[FNV64size/2];
    uint32_t temp2[2];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV64state:
            ctx->Computed = FNVcomputed+FNV64state;
            break;
        case FNVcomputed+FNV64state:
            break;
        default:
             return fnvStateError;
    }
    for ( i=0; i<FNV64size/2; ++i )
         temp[i] = ctx->Hash[i];
    while ( ( ch = (uint8_t)*in++ ) ) {
        /* temp = FNV64prime * ( temp ^ ch ); */
        temp[3] ^= ch;
        temp2[1] = temp[3] << FNV64shift;
        temp2[0] = temp[2] << FNV64shift;
        for ( i=0; i<4; ++i )
            temp[i] *= FNV64primeX;
        temp[1] += temp2[1];
        temp[0] += temp2[0];
        for ( i=2; i>=0; --i ) {
            temp[i] += temp[i+1] >> 16;
            temp[i+1] &= 0xFFFF;
        }
    }
    for ( i=0; i<FNV64size/2; ++i )
        ctx->Hash[i] = temp[i];
    return fnvSuccess;
}   /* end FNV64stringin */

/* return hash  (32-bit)
 ******************************************************************/
int FNV64result ( FNV64context * const ctx,
                  uint8_t out[FNV64size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV64state )
        return fnvStateError;
    for ( int i=0; i<FNV64size/2; ++i ) {
        out[2*i] = ctx->Hash[i] >> 8;
        out[2*i+1] = ctx->Hash[i];
        ctx -> Hash[i] = 0;
        }
    ctx->Computed = FNVemptied+FNV64state;
    return fnvSuccess;
}   /* end FNV64result */

#endif    /*  FNV_64bitIntegers */
//*****************************************************************
// END VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//*****************************************************************
]]></sourcecode>

<!-- [rfced] Section 8.2.2:  Does "Null input/out pointer" mean
"Null input/output pointer", "Null input pointer /out pointer", or
something else?

Original:
 return fnvNull; /* Null input/out pointer */ -->

</section>

<section>
  <name>FNV128 Code</name>

<t>The following code is the header and C source for 128-bit FNV-1a providing a byte
vector hash.</t>

<sourcecode type="C" type="c" markers="true" name="FNV128.h">
<![CDATA[ name="FNV128.h"><![CDATA[
//************************** FNV128.h ************************//
//*************** See RFC NNNN 9923 for details. ******************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

#ifndef _FNV128_H_
#define _FNV128_H_

/*
 *  Description:
 *      This file provides headers for the 128-bit version of
 *      the FNV-1a non-cryptographic hash algorithm.
 */

#include "FNVconfig.h"
#include "FNVErrorCodes.h"

#include <stdint.h>
#define FNV128size (128/8)

/* If you do not have the ISO standard stdint.h header file, then
 * you must typedef the following types:
 *
 *    type              meaning
 *  uint64_t    unsigned 64-bit integer (ifdef FNV_64bitIntegers)
 *  uint32_t    unsigned 32-bit integer
 *  uint16_t    unsigned 16-bit integer
 *  uint8_t     unsigned 8-bit integer (i.e., unsigned char)
 */

/*
 *  This structure holds context information for an FNV128 hash
 */
#ifdef FNV_64bitIntegers
    /* version if 64-bit integers supported */
typedef struct FNV128context_s {
        int Computed;  /* state */
        uint32_t Hash[FNV128size/4];
} FNV128context;

#else
    /* version if 64-bit integers NOT supported */
typedef struct FNV128context_s {
        int Computed;  /* state */
        uint16_t Hash[FNV128size/2];
} FNV128context;

#endif /* FNV_64bitIntegers */

/*  Function Prototypes:
 *
 *    FNV128string: hash a zero-terminated string not including
 *                  the terminating zero
 *    FNV128stringBasis: also takes an offset_basis parameter
 *
 *    FNV128block: hash a specified length byte vector
 *    FNV128blockBasis: also takes an offset_basis parameter
 *
 *    FNV128file: hash the contents of a file
 *    FNV128fileBasis: also takes an offset_basis parameter
 *
 *    FNV128init: initializes an FNV128 context
 *    FNV128initBasis: initializes an FNV128 context with a
 *                     provided 16-byte vector basis
 *    FNV128blockin: hash in a specified length byte vector
 *    FNV128stringin: hash in a zero-terminated string not
 *                    including the terminating zero
 *    FNV128filein: hash in the contents of a file
 *    FNV128result: returns the hash value
 *
 *    Hash is returned as an array of 8-bit unsigned integers
 */

#ifdef __cplusplus
extern "C" {
#endif

/* FNV128 */
extern int FNV128string ( const char *in,
                          uint8_t out[FNV128size] );
extern int FNV128stringBasis ( const char *in,
                               uint8_t out[FNV128size],
                               const uint8_t basis[FNV128size] );
extern int FNV128block ( const void *vin,
                         long int length,
                         uint8_t out[FNV128size] );
extern int FNV128blockBasis ( const void *vin,
                              long int length,
                              uint8_t out[FNV128size],
                              const uint8_t basis[FNV128size] );
extern int FNV128file ( const char *fname,
                        uint8_t out[FNV128size] );
extern int FNV128fileBasis ( const char *fname,
                             uint8_t out[FNV128size],
                             const uint8_t basis[FNV128size] );
extern int FNV128init ( FNV128context * const );
extern int FNV128initBasis ( FNV128context * const,
                             const uint8_t basis[FNV128size] );
extern int FNV128blockin ( FNV128context * const,
                           const void *vin,
                           long int length );
extern int FNV128stringin ( FNV128context * const,
                            const char *in );
extern int FNV128filein ( FNV128context * const,
                         const char *fname );
extern int FNV128result ( FNV128context * const,
                          uint8_t out[FNV128size] );

#ifdef __cplusplus
}
#endif

#endif /* _FNV128_H_ */
]]></sourcecode>

<!-- [rfced] Sections 8.2.3, 8.2.4, 8.2.5, and 8.2.6:  Please review
the following, and let us know if any changes are needed:

a) Please confirm that the same text - "Hash is returned as an array
of 8-bit unsigned integers" - is correct for all four sections.
We ask because of "Hash is returned as a 4-byte vector by the
functions above, and the following return a 32-bit unsigned integer"
in Section 8.2.1 ("FNV32 Code").

b) Please search for instances of "This structure holds context
information for an FNV", and let us know if the data that follows
these lines is correct.  The first and second instances appear to be
OK, but we want to confirm that the data that follows the third,
fourth, fifth, and sixth instances are also OK (i.e., should always
indicate 64-bit integers; apologies if we are missing a statement
that says support for 64-bit integers applies to all FNVs discussed
in this document).

c) Please search for instances of "version if", and confirm that
the text should always be "version if 64-bit ...". -->

<sourcecode type="C" type="c" markers="true" name="FNV128.c">
<![CDATA[ name="FNV128.c"><![CDATA[
//**************************** FNV128.c **************************//
//******************* See RFC NNNN 9923 for details *******************// details. ******************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

/* This file implements the FNV (Fowler, Noll, Vo) (Fowler/Noll/Vo) non-cryptographic
 * hash function FNV-1a for 128-bit hashes.
 */

#include <stdio.h>

#include "FNVconfig.h"
#include "fnv-private.h"
#include "FNV128.h"

//*****************************************************************
//  COMMON CODE FOR 64- AND 32-BIT INTEGER MODES
//*****************************************************************

/* FNV128 hash a zero-terminated string not including the zero
 ******************************************************************/
int FNV128string ( const char *in, uint8_t out[FNV128size] ) {
    FNV128context ctx;
    int error;

    if ( (error = FNV128init ( &ctx )) )
        return error;
    if ( (error = FNV128stringin ( &ctx, in )) )
        return error;
    return FNV128result (&ctx, out);
}   /* end FNV128string */

/* FNV128 hash a zero-terminated string not including the zero
 ******************************************************************/
int FNV128stringBasis ( const char *in,
                        uint8_t out[FNV128size],
                        const uint8_t basis[FNV128size] ) {
    FNV128context ctx;
    int error;

    if ( (error = FNV128initBasis ( &ctx, basis )) )
        return error;
    if ( (error = FNV128stringin ( &ctx, in )) )
        return error;
    return FNV128result ( &ctx, out );
}   /* end FNV128stringBasis */

/* FNV128 hash a counted block  (64/32-bit)
 ******************************************************************/
int FNV128block ( const void *vin,
                  long int length,
                  uint8_t out[FNV128size] ) {
    FNV128context ctx;
    int error;

    if ( (error = FNV128init ( &ctx )) )
        return error;
    if ( (error = FNV128blockin ( &ctx, vin, length )) )
        return error;
    return FNV128result ( &ctx, out );
}   /* end FNV128block */

/* FNV128 hash a counted block  (64/32-bit)
 ******************************************************************/
int FNV128blockBasis ( const void *vin,
                       long int length,
                       uint8_t out[FNV128size],
                       const uint8_t basis[FNV128size] ) {
    FNV128context ctx;
    int error;

    if ( (error = FNV128initBasis ( &ctx, basis )) )
        return error;
    if ( (error = FNV128blockin ( &ctx, vin, length )) )
        return error;
    return FNV128result ( &ctx, out );
}   /* end FNV128blockBasis */

/* hash the contents of a file
 ******************************************************************/
int FNV128file ( const char *fname,
                 uint8_t out[FNV128size] ) {
    FNV128context e128Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV128init (&e128Context)) )
        return error;
    if ( (error = FNV128filein (&e128Context, fname)) )
        return error;
    return FNV128result ( &e128Context, out );
}   /* end FNV128file */

/* hash the contents of a file with a non-standard basis
 ******************************************************************/
int FNV128fileBasis ( const char *fname,
                      uint8_t out[FNV128size],
                      const uint8_t basis[FNV128size] ) {
    FNV128context e128Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV128initBasis (&e128Context, basis)) )
        return error;
    if ( (error = FNV128filein (&e128Context, fname)) )
        return error;
    return FNV128result ( &e128Context, out );
}   /* end FNV128fileBasis */

/* hash in the contents of a file
 ******************************************************************/
int FNV128filein ( FNV128context * const e128Context,
                   const char *fname ) {
    FILE *fp;
    long int i;
    char buf[1024];
    int error;

    if ( !e128Context || !fname )
        return fnvNull;
    switch ( e128Context->Computed ) {
        case FNVinited+FNV128state:
            e128Context->Computed = FNVcomputed+FNV128state;
            break;
        case FNVcomputed+FNV128state:
            break;
        default:
            return fnvStateError;
    }
    if ( ( fp = fopen ( fname, "rb") ) == NULL )
        return fnvBadParam;
    if ( (error = FNV128blockin ( e128Context, "", 0)) ) {
        fclose(fp);
        return error;
    }
    while ( ( i = fread ( buf, 1, sizeof(buf), fp ) ) > 0 )
        if ( (error = FNV128blockin ( e128Context, buf, i)) ) {
            fclose(fp);
            return error;
        }
    error = ferror(fp);
    fclose(fp);
    if (error) return fnvBadParam;
    return fnvSuccess;
}   /* end FNV128filein */

//*****************************************************************
// START VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//*****************************************************************
#ifdef FNV_64bitIntegers

/* 128-bit FNV_prime = 2^88 + 2^8 + 0x3b */
/* 0x00000000 01000000 00000000 0000013B */
#define FNV128primeX 0x013B
#define FNV128shift 24

//*****************************************************************
//         Set of init, input, and output functions below
//         to incrementally compute FNV128
//*****************************************************************/

/* initialize context  (64-bit)
 ******************************************************************/
int FNV128init ( FNV128context * const ctx ) {
    const uint32_t FNV128basis[FNV128size/4] =
        { 0x6C62272E, 0x07BB0142, 0x62B82175, 0x6295C58D };

    if ( !ctx )
        return fnvNull;
    for ( int i=0; i<4; ++i )
        ctx->Hash[i] = FNV128basis[i];
    ctx->Computed = FNVinited+FNV128state;
    return fnvSuccess;
}   /* end FNV128init */

/* initialize context with a provided 16-byte vector basis  (64-bit)
 ******************************************************************/
int FNV128initBasis ( FNV128context * const ctx,
                      const uint8_t basis[FNV128size] ) {
   if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV128size/4; ++i ) {
        uint32_t temp = *basis++<<24;
        temp += *basis++<<16;
        temp += *basis++<<8;
        ctx->Hash[i] = temp + *basis++;
    }
    ctx->Computed = FNVinited+FNV128state;
    return fnvSuccess;
}   /* end FNV128initBasis */

/* hash in a counted block  (64-bit)
 ******************************************************************/
int FNV128blockin ( FNV128context * const ctx,
                    const void *vin,
                    long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint64_t temp[FNV128size/4];
    uint64_t temp2[2];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV128state:
            ctx->Computed = FNVcomputed+FNV128state;
            break;
        case FNVcomputed+FNV128state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV128size/4; ++i )
         temp[i] = ctx->Hash[i];
    for ( ; length > 0; length-- ) {
        /* temp = FNV128prime * ( temp ^ *in++ ); */
        temp[FNV128size/4-1] ^= *in++;
        temp2[1] = temp[3] << FNV128shift;
        temp2[0] = temp[2] << FNV128shift;
        for ( i=0; i < FNV128size/4; ++i )
            temp[i] *= FNV128primeX;
        temp[1] += temp2[1];
        temp[0] += temp2[0];
        for ( i = 3; i > 0; --i ) {
            temp[i-1] += temp[i] >> 32;
            temp[i] &= 0xFFFFFFFF;
        }
    }
    for ( i=0; i<FNV128size/4; ++i )
        ctx->Hash[i] = (uint32_t)temp[i];
    return fnvSuccess;
}   /* end FNV128blockin */

/* hash in a zero-terminated string not including the zero  (64-bit)
 ******************************************************************/
int FNV128stringin ( FNV128context * const ctx, const char *in ) {
    uint64_t temp[FNV128size/4];
    uint64_t temp2[2];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV128state:
            ctx->Computed = FNVcomputed+FNV128state;
            break;
        case FNVcomputed+FNV128state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV128size/4; ++i )
         temp[i] = ctx->Hash[i];
    while ( ( ch = (uint8_t)*in++ ) ) {
        /* temp = FNV128prime * ( temp ^ ch ); */
        temp[3] ^= ch;
        temp2[1] = temp[3] << FNV128shift;
        temp2[0] = temp[2] << FNV128shift;
        for ( i=0; i < FNV128size/4; ++i )
            temp[i] *= FNV128primeX;
        temp[1] += temp2[1];
        temp[0] += temp2[0];
        for ( i = 3; i > 0; --i ) {
            temp[i-1] += temp[i] >> 32;
            temp[i] &= 0xFFFFFFFF;
        }
    }
    for ( i=0; i<FNV128size/4; ++i )
        ctx->Hash[i] = (uint32_t)temp[i];
    return fnvSuccess;
}   /* end FNV128stringin */

/* return hash as 16-byte vector  (64-bit)
 ******************************************************************/
int FNV128result ( FNV128context * const ctx,
                   uint8_t out[FNV128size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV128state )
        return fnvStateError;
    for ( int i=0; i<FNV128size/4; ++i ) {
        out[4*i] = ctx->Hash[i] >> 24;
        out[4*i+1] = ctx->Hash[i] >> 16;
        out[4*i+2] = ctx->Hash[i] >> 8;
        out[4*i+3] = ctx->Hash[i];
        ctx -> Hash[i] = 0;
    }
    ctx->Computed = FNVemptied+FNV128state;
    return fnvSuccess;
}   /* end FNV128result */

//****************************************************************
// END VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//****************************************************************
#else    /*  FNV_64bitIntegers */
//****************************************************************
// START VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//****************************************************************

/* 128-bit FNV_prime = 2^88 + 2^8 + 0x3b */
/* 0x00000000 01000000 00000000 0000013B */
#define FNV128primeX 0x013B
#define FNV128shift 8

//*****************************************************************
//         Set of init, input, and output functions below
//         to incrementally compute FNV128
//*****************************************************************

/* initialize context  (32-bit)
 ******************************************************************/
int FNV128init ( FNV128context * const ctx ) {
    const uint16_t FNV128basis[FNV128size/2] =
             { 0x6C62, 0x272E, 0x07BB, 0x0142,
               0x62B8, 0x2175, 0x6295, 0xC58D };

    if ( !ctx )
        return fnvNull;
    for ( int i=0; i<FNV128size/2; ++i )
        ctx->Hash[i] = FNV128basis[i];
    ctx->Computed = FNVinited+FNV128state;
    return fnvSuccess;
}   /* end FNV128init */

/* initialize context with a provided 16-byte vector basis  (32-bit)
 ******************************************************************/
int FNV128initBasis ( FNV128context * const ctx,
                      const uint8_t basis[FNV128size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV128size/2; ++i ) {
        uint32_t temp = *basis++;
        ctx->Hash[i] = ( temp<<8 ) +  *basis++;
    }
    ctx->Computed = FNVinited+FNV128state;
    return fnvSuccess;
}   /* end FNV128initBasis */

/* hash in a counted block  (32-bit)
 *****************************************************************/
int FNV128blockin ( FNV128context * const ctx,
                    const void *vin,
                    long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp[FNV128size/2];
    uint32_t temp2[3];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV128state:
            ctx->Computed = FNVcomputed+FNV128state;
            break;
        case FNVcomputed+FNV128state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i < FNV128size/2; ++i )
         temp[i] = ctx->Hash[i];
    for ( ; length > 0; length-- ) {
        /* temp = FNV128prime * ( temp ^ *in++ ); */
        temp[FNV128size/2-1] ^= *in++;
        for ( i=2; i >= 0; --i )
            temp2[i] = temp[i+5] << FNV128shift;
        for ( i=0; i < (FNV128size/2); ++i )
            temp[i] *= FNV128primeX;
        for ( i=2; i >= 0; --i )
            temp[i] += temp2[i];
        for ( i=FNV128size/2-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 16;
            temp[i] &= 0xFFFF;
        }
    }
    for ( i=0; i < FNV128size/2; ++i )
        ctx->Hash[i] = temp[i];
    return fnvSuccess;
}   /* end FNV128blockin */

/* hash in a zero-terminated string not including the zero  (32-bit)
 ******************************************************************/
int FNV128stringin ( FNV128context * const ctx, const char *in ) {
    uint32_t temp[FNV128size/2];
    uint32_t temp2[3];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV128state:
            ctx->Computed = FNVcomputed+FNV128state;
            break;
        case FNVcomputed+FNV128state:
            break;
        default:
             return fnvStateError;
    }
    for ( i=0; i < FNV128size/2; ++i )
         temp[i] = ctx->Hash[i];
    while ( (ch = (uint8_t)*in++) ) {
        /* temp = FNV128prime * ( temp ^ *in++ ); */
        temp[FNV128size/2-1] ^= ch;
        for ( i=2; i >= 0; --i )
            temp2[i] = temp[i+5] << FNV128shift;
        for ( i=0; i<(FNV128size/2); ++i )
            temp[i] *= FNV128primeX;
        for ( i=2; i >= 0; --i )
            temp[i] += temp2[i];
        for ( i=FNV128size/2-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 16;
            temp[i] &= 0xFFFF;
        }
    }
    for ( i=0; i < FNV128size/2; ++i )
        ctx->Hash[i] = temp[i];
    return fnvSuccess;
}   /* end FNV128stringin */

/* return hash  (32-bit)
 ******************************************************************/
int FNV128result ( FNV128context * const ctx,
                   uint8_t out[FNV128size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV128state )
        return fnvStateError;
    for ( int i=0; i<FNV128size/2; ++i ) {
        out[2*i] = ctx->Hash[i] >> 8;
        out[2*i+1] = ctx->Hash[i];
        ctx -> Hash[i] = 0;
    }
    ctx->Computed = FNVemptied+FNV128state;
    return fnvSuccess;
}   /* end FNV128result */

#endif    /*  FNV_64bitIntegers */
//******************************************************************
// END VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//******************************************************************
]]></sourcecode>

</section>

<section>
  <name>FNV256 Code</name>

<t>The following code is the header and C source for 256-bit FNV-1a providing a byte
vector hash.</t>

<sourcecode type="C" type="c" markers="true" name="FNV256.h">
<![CDATA[ name="FNV256.h"><![CDATA[
//************************* FNV256.h ***********************//
//************** See RFC NNNN 9923 for details. *****************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

#ifndef _FNV256_H_
#define _FNV256_H_

/*
 *  Description:
 *      This file provides headers for the 256-bit version of
 *      the FNV-1a non-cryptographic hash algorithm.
 */

#include "FNVconfig.h"
#include "FNVErrorCodes.h"

#include <stdint.h>
#define FNV256size (256/8)

/* If you do not have the ISO standard stdint.h header file, then
 * you must typedef the following types:
 *
 *    type              meaning
 *  uint64_t    unsigned 64-bit integer (ifdef FNV_64bitIntegers)
 *  uint32_t    unsigned 32-bit integer
 *  uint16_t    unsigned 16-bit integer
 *  uint8_t     unsigned 8-bit integer (i.e., unsigned char)
 */

/*
 *  This structure holds context information for an FNV256 hash
 */
#ifdef FNV_64bitIntegers
    /* version if 64-bit integers supported */
typedef struct FNV256context_s {
        int Computed;  /* state */
        uint32_t Hash[FNV256size/4];
} FNV256context;

#else
    /* version if 64-bit integers NOT supported */
typedef struct FNV256context_s {
        int Computed;  /* state */
        uint16_t Hash[FNV256size/2];
} FNV256context;

#endif /* FNV_64bitIntegers */

/*  Function Prototypes:
 *
 *    FNV256string: hash a zero-terminated string not including
 *                  the terminating zero
 *    FNV246stgringBasis:    FNV256stringBasis: also takes an offset_basis parameter
 *
 *    FNV256block: hash a specified length byte vector
 *    FNV256blockBasis: also takes an offset_basis parameter
 *
 *    FNV256file: hash the contents of a file
 *    FNV256fileBasis: also takes an offset_basis parameter
 *
 *    FNV256init: initializes an FNV256 context
 *    FNV256initBasis: initializes an FNV256 context with a
 *                     provided 32-byte vector basis
 *    FNV256blockin: hash in a specified length byte vector
 *    FNV256stringin: hash in a zero-terminated string not
 *                    including the terminating zero
 *    FNV256filein: hash in the contents of a file
 *    FNV256result: returns the hash value
 *
 *    Hash is returned as an array of 8-bit unsigned integers
 */

#ifdef __cplusplus
extern "C" {
#endif

/* FNV256 */
extern int FNV256string ( const char *in,
                          uint8_t out[FNV256size] );
extern int FNV256stringBasis ( const char *in,
                               uint8_t out[FNV256size],
                               const uint8_t basis[FNV256size] );
extern int FNV256block ( const void *vin,
                         long int length,
                         uint8_t out[FNV256size] );
extern int FNV256blockBasis ( const void *vin,
                              long int length,
                              uint8_t out[FNV256size],
                              const uint8_t basis[FNV256size] );
extern int FNV256file ( const char *fname,
                        uint8_t out[FNV256size] );
extern int FNV256fileBasis ( const char *fname,
                             uint8_t out[FNV256size],
                             const uint8_t basis[FNV256size] );
extern int FNV256init ( FNV256context * const );
extern int FNV256initBasis ( FNV256context * const,
                             const uint8_t basis[FNV256size] );
extern int FNV256blockin ( FNV256context * const,
                           const void *vin,
                           long int length );
extern int FNV256stringin ( FNV256context * const,
                            const char *in );
extern int FNV256filein ( FNV256context * const,
                         const char *fname );
extern int FNV256result ( FNV256context * const,
                          uint8_t out[FNV256size] );

#ifdef __cplusplus
}
#endif

#endif /* _FNV256_H_ */
]]></sourcecode>

<!-- [rfced] Sections 8.2.4, 8.2.5, and 8.2.6:  As it appeared that
"FNV246stgringBasis", "FMNV512filein", and "FMV1024fileBasis" should
be "FNV256stringBasis", "FNV512filein", and "FNV1024fileBasis",
respectively, we updated accordingly.  Please let us know if anything
is incorrect.

Original:
 *    FNV246stgringBasis: also takes an offset_basis parameter
...
 *    FMNV512filein: hash in the contents of a file
...
 }   /* end FMV1024fileBasis */

Currently:
 *    FNV256stringBasis: also takes an offset_basis parameter
...
 *    FNV512filein: hash in the contents of a file
...
 }   /* end FNV1024fileBasis */ -->

<sourcecode type="C" type="c" markers="true" name="FNV256.c">
<![CDATA[ name="FNV256.c"><![CDATA[
//**************************** FNV256.c **************************//
//******************* See RFC NNNN 9923 for details *******************// details. ******************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

/* This file implements the FNV (Fowler, Noll, Vo) (Fowler/Noll/Vo) non-cryptographic
 * hash function FNV-1a for 256-bit hashes.
 */

#include <stdio.h>

#include "fnv-private.h"
#include "FNV256.h"

//*****************************************************************
//  COMMON CODE FOR 64- AND 32-BIT INTEGER MODES
//*****************************************************************

/* FNV256 hash a zero-terminated string not including the zero
 ******************************************************************/
int FNV256string ( const char *in, uint8_t out[FNV256size] ) {
    FNV256context ctx;
    int error;

    if ( (error = FNV256init ( &ctx )) )
        return error;
    if ( (error = FNV256stringin ( &ctx, in )) )
        return error;
    return FNV256result ( &ctx, out );
}   /* end FNV256string */

/* FNV256 hash a zero-terminated string not including the zero
 * with a non-standard basis
 ******************************************************************/
int FNV256stringBasis ( const char *in,
                        uint8_t out[FNV256size],
                        const uint8_t basis[FNV256size] ) {
    FNV256context ctx;
    int error;

    if ( (error = FNV256initBasis ( &ctx, basis )) )
        return error;
    if ( (error = FNV256stringin ( &ctx, in )) )
        return error;
    return FNV256result ( &ctx, out );
}   /* end FNV256stringBasis */

/* FNV256 hash a counted block  (64/32-bit)
 ******************************************************************/
int FNV256block ( const void *vin,
                  long int length,
                  uint8_t out[FNV256size] ) {
    FNV256context ctx;
    int error;

    if ( (error = FNV256init ( &ctx )) )
        return error;
    if ( (error = FNV256blockin ( &ctx, vin, length)) )
        return error;
    return FNV256result ( &ctx, out );
}   /* end FNV256block */

/* FNV256 hash a counted block  (64/32-bit)
 * with a non-standard basis
 ******************************************************************/
int FNV256blockBasis ( const void *vin,
                       long int length,
                       uint8_t out[FNV256size],
                       const uint8_t basis[FNV256size] ) {
    FNV256context ctx;
    int error;

    if ( (error = FNV256initBasis ( &ctx, basis )) )
        return error;
    if ( (error = FNV256blockin ( &ctx, vin, length)) )
        return error;
    return FNV256result ( &ctx, out );
}   /* end FNV256blockBasis */

/* hash the contents of a file
 ******************************************************************/
int FNV256file ( const char *fname,
                        uint8_t out[FNV256size] ) {
    FNV256context e256Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV256init (&e256Context)) )
        return error;
    if ( (error = FNV256filein (&e256Context, fname)) )
        return error;
    return FNV256result ( &e256Context, out );
}   /* end FNV256file */

/* hash the contents of a file with a non-standard basis
 ******************************************************************/
int FNV256fileBasis ( const char *fname,
                      uint8_t out[FNV256size],
                      const uint8_t basis[FNV256size]) {
    FNV256context e256Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV256initBasis (&e256Context, basis)) )
        return error;
    if ( (error = FNV256filein (&e256Context, fname)) )
        return error;
    return FNV256result ( &e256Context, out );
}   /* end FNV256fileBasis */

/* hash in the contents of a file
 ******************************************************************/
int FNV256filein ( FNV256context * const e256Context,
                   const char *fname ) {
    FILE *fp;
    long int i;
    char buf[1024];
    int error;

    if ( !e256Context || !fname )
        return fnvNull;
    switch ( e256Context->Computed ) {
        case FNVinited+FNV256state:
            e256Context->Computed = FNVcomputed+FNV256state;
            break;
        case FNVcomputed+FNV256state:
            break;
        default:
             return fnvStateError;
    }
    if ( ( fp = fopen ( fname, "rb") ) == NULL )
        return fnvBadParam;
    if ( (error = FNV256blockin ( e256Context, "", 0)) ) {
        fclose(fp);
        return error;
    }
    while ( ( i = fread ( buf, 1, sizeof(buf), fp ) ) > 0 )
        if ( (error = FNV256blockin ( e256Context, buf, i)) ) {
            fclose(fp);
            return error;
        }
    error = ferror(fp);
    fclose(fp);
    if (error) return fnvBadParam;
    return fnvSuccess;
}   /* end FNV256filein */

//*****************************************************************
// START VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//*****************************************************************
#ifdef FNV_64bitIntegers

/* 256-bit FNV_prime = 2^168 + 2^8 + 0x63 */
/* 0x0000000000000000 0000010000000000
     0000000000000000 0000000000000163 */
#define FNV256primeX 0x0163
#define FNV256shift 8

//*****************************************************************
//         Set of init, input, and output functions below
//         to incrementally compute FNV256
//*****************************************************************

/* initialize context  (64-bit)
 ******************************************************************/
int FNV256init ( FNV256context * const ctx ) {
    const uint32_t FNV256basis[FNV256size/4] = {
             0xDD268DBC, 0xAAC55036, 0x2D98C384, 0xC4E576CC,
             0xC8B15368, 0x47B6BBB3, 0x1023B4C8, 0xCAEE0535 };

    if ( !ctx )
        return fnvNull;
    for ( int i=0; i<FNV256size/4; ++i )
        ctx->Hash[i] = FNV256basis[i];
    ctx->Computed = FNVinited+FNV256state;
    return fnvSuccess;
}   /* end FNV256init */

/* initialize context with a provided 32-byte vector basis  (64-bit)
 * with a non-standard basis
 ******************************************************************/
int FNV256initBasis ( FNV256context * const ctx,
                      const uint8_t basis[FNV256size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV256size/4; ++i ) {
        uint32_t temp = *basis++<<24;
        temp += *basis++<<16;
        temp += *basis++<<8;
        ctx->Hash[i] = temp + *basis++;
    }
    ctx->Computed = FNVinited+FNV256state;
    return fnvSuccess;
}   /* end FNV256initBasis */

/* hash in a counted block  (64-bit)
 ******************************************************************/
int FNV256blockin ( FNV256context * const ctx,
                    const void *vin,
                    long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint64_t temp[FNV256size/4];
    uint64_t temp2[3];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV256state:
            ctx->Computed = FNVcomputed+FNV256state;
            break;
        case FNVcomputed+FNV256state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV256size/4; ++i )
         temp[i] = ctx->Hash[i];
    for ( ; length > 0; length-- ) {
        /* temp = FNV256prime * ( temp ^ *in++ ); */
        temp[FNV256size/4-1] ^= *in++;
        for ( i=2; i >= 0; --i )
            temp2[i] = temp[i+5] << FNV256shift;
        for ( i=0; i < FNV256size/4; ++i )
            temp[i] *= FNV256primeX;
        for ( i=2; i >= 0; --i )
            temp[i] += temp2[i];
        for ( i=FNV256size/4-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 32;
            temp[i] &= 0xFFFFFFFF;
        }
    }
    for ( i=0; i<FNV256size/4; ++i )
        ctx->Hash[i] = (uint32_t)temp[i];
    return fnvSuccess;
}   /* end FNV256blockin */

/* hash in a zero-terminated string not including the zero  (64-bit)
 ******************************************************************/
int FNV256stringin ( FNV256context * const ctx, const char *in ) {
    uint64_t temp[FNV256size/4];
    uint64_t temp2[3];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV256state:
            ctx->Computed = FNVcomputed+FNV256state;
            break;
        case FNVcomputed+FNV256state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV256size/4; ++i )
         temp[i] = ctx->Hash[i];
    while ( (ch = (uint8_t)*in++) ) {
        /* temp = FNV256prime * ( temp ^ ch ); */
        temp[FNV256size/4-1] ^= ch;
        for ( i=2; i >= 0; --i )
            temp2[i] = temp[i+5] << FNV256shift;
        for ( i=0; i<FNV256size/4; ++i )
            temp[i] *= FNV256primeX;
        for ( i=2; i >= 0; --i )
            temp[i] += temp2[i];
        for ( i=FNV256size/4-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 32;
            temp[i] &= 0xFFFFFFFF;
        }
    }
    for ( i=0; i<FNV256size/4; ++i )
        ctx->Hash[i] = (uint32_t)temp[i];
    return fnvSuccess;
}   /* end FNV256stringin */

/* return hash as 8-byte vector  (64-bit)
 ******************************************************************/
int FNV256result ( FNV256context * const ctx,
                   uint8_t out[FNV256size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV256state )
        return fnvStateError;
    for ( int i=0; i<FNV256size/4; ++i ) {
        out[4*i] = ctx->Hash[i] >> 24;
        out[4*i+1] = ctx->Hash[i] >> 16;
        out[4*i+2] = ctx->Hash[i] >> 8;
        out[4*i+3] = ctx->Hash[i];
        ctx -> Hash[i] = 0;
    }
    ctx->Computed = FNVemptied+FNV256state;
    return fnvSuccess;
}   /* end FNV256result */

//****************************************************************
// END VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//****************************************************************
#else    /*  FNV_64bitIntegers */
//****************************************************************
// START VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//****************************************************************

/* version for when you only have 32-bit arithmetic
 *****************************************************************/

/* 256-bit FNV_prime = 2^168 + 2^8 + 0x63 */
/* 0x00000000 00000000 00000100 00000000
     00000000 00000000 00000000 00000163 */
#define FNV256primeX 0x0163
#define FNV256shift 8

//****************************************************************
//       Set of init, input, and output functions below
//       to incrementally compute FNV256
//****************************************************************

/* initialize context  (32-bit)
 *****************************************************************/
int FNV256init ( FNV256context * const ctx ) {
    const uint16_t FNV256basis[FNV256size/2] = {
0xDD26, 0x8DBC, 0xAAC5, 0x5036, 0x2D98, 0xC384, 0xC4E5, 0x76CC,
0xC8B1, 0x5368, 0x47B6, 0xBBB3, 0x1023, 0xB4C8, 0xCAEE, 0x0535 };

    if ( !ctx )
        return fnvNull;
    for ( int i=0; i<FNV256size/2; ++i )
        ctx->Hash[i] = FNV256basis[i];
    ctx->Computed = FNVinited+FNV256state;
    return fnvSuccess;
}   /* end FNV256init */

/* initialize context with a provided 32-byte vector basis  (32-bit)
 *****************************************************************/
 ******************************************************************/
int FNV256initBasis ( FNV256context * const ctx,
                      const uint8_t basis[FNV256size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV256size/2; ++i ) {
        uint32_t temp = *basis++;
        ctx->Hash[i] = ( temp<<8 ) +  (*basis++);
    }
    ctx->Computed = FNVinited+FNV256state;
    return fnvSuccess;
}   /* end FNV256initBasis */

/* hash in a counted block  (32-bit)
 *****************************************************************/
int FNV256blockin ( FNV256context * const ctx,
                    const void *vin,
                    long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp[FNV256size/2];
    uint32_t temp2[6];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV256state:
            ctx->Computed = FNVcomputed+FNV256state;
            break;
        case FNVcomputed+FNV256state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV256size/2; ++i )
        temp[i] = ctx->Hash[i];
    for ( ; length > 0; length-- ) {
        /* temp = FNV256prime * ( temp ^ *in++ ); */
        temp[FNV256size/2-1] ^= *in++;
        for ( i=0; i<6; ++i )
            temp2[5-i] = temp[FNV256size/2-1-i] << FNV256shift;
        for ( i=0; i<FNV256size/2; ++i )
            temp[i] *= FNV256primeX;
        for ( i=0; i<6; ++i )
            temp[i] += temp2[i];
        for ( i=FNV256size/2-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 16;
            temp[i] &= 0xFFFF;
        }
    }
    for ( i=0; i<FNV256size/2; ++i )
        ctx->Hash[i] = temp[i];
    return fnvSuccess;
}   /* end FNV256blockin */

/* hash in a zero-terminated string not including the zero  (32-bit)
 *****************************************************************/
 ******************************************************************/
int FNV256stringin ( FNV256context * const ctx, const char *in ) {
    uint32_t temp[FNV256size/2];
    uint32_t temp2[6];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV256state:
            ctx->Computed = FNVcomputed+FNV256state;
            break;
        case FNVcomputed+FNV256state:
            break;
        default:
             return fnvStateError;
    }
    for ( i=0; i<FNV256size/2; ++i )
         temp[i] = ctx->Hash[i];
    while ( ( ch = (uint8_t)*in++ ) ) {
        /* temp = FNV256prime * ( temp ^ *in++ ); */
        temp[FNV256size/2-1] ^= ch;
        for ( i=0; i<6; ++i )
            temp2[5-i] = temp[FNV256size/2-1-i] << FNV256shift;
        for ( i=0; i<FNV256size/2; ++i )
            temp[i] *= FNV256primeX;
        for ( i=0; i<6; ++i )
            temp[i] += temp2[i];
        for ( i=FNV256size/2-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 16;
            temp[i] &= 0xFFFF;
        }
    }
    for ( i=0; i<FNV256size/2; ++i )
        ctx->Hash[i] = temp[i];
    return fnvSuccess;
}   /* end FNV256stringin */

/* return hash  (32-bit)
 *****************************************************************/
int FNV256result ( FNV256context * const ctx,
                   uint8_t out[FNV256size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV256state )
        return fnvStateError;
    for ( int i=0; i<FNV256size/2; ++i ) {
        out[2*i] = ctx->Hash[i] >> 8;
        out[2*i+1] = ctx->Hash[i];
        ctx->Hash[i] = 0;
    }
    ctx->Computed = FNVemptied+FNV256state;
    return fnvSuccess;
}   /* end FNV256result */

#endif    /*  FNV_64bitIntegers */
//****************************************************************
// END VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//****************************************************************
]]></sourcecode>

<!-- [rfced] Sections 8.2.4 and 8.2.6:  Are these two extra lowercase
"version for when you only have 32-bit arithmetic" entries still
needed in this document?  We ask because a "START VERSION FOR WHEN
YOU ONLY HAVE 32-BIT ARITHMETIC" entry immediately precedes both
of these lowercased entries, and the other three "START VERSION FOR
WHEN YOU ONLY HAVE 32-BIT ARITHMETIC" entries (Sections 8.2.2,
8.2.3, and 8.2.5) don't have this extra entry.

Original:
 /* version for when you only have 32-bit arithmetic
...
 /* version for when you only have 32-bit arithmetic -->

</section>

<section>
  <name>FNV512 Code</name>

<t>The following code is the header and C source for 512-bit FNV-1a providing a byte
vector hash.</t>

<sourcecode type="C" type="c" markers="true" name="FNV512.h">
<![CDATA[ name="FNV512.h"><![CDATA[
//************************* FNV512.h ***********************//
//************** See RFC NNNN 9923 for details. *****************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

#ifndef _FNV512_H_
#define _FNV512_H_

/*
 *  Description:
 *      This file provides headers for the 512-bit version of
 *      the FNV-1a non-cryptographic hash algorithm.
 */

#include "FNVconfig.h"
#include "FNVErrorCodes.h"

#include <stdint.h>
#define FNV512size (512/8)

/* If you do not have the ISO standard stdint.h header file, then
 * you must typedef the following types:
 *
 *    type              meaning
 *  uint64_t    unsigned 64-bit integer (ifdef FNV_64bitIntegers)
 *  uint32_t    unsigned 32-bit integer
 *  uint16_t    unsigned 16-bit integer
 *  uint8_t     unsigned 8-bit integer (i.e., unsigned char)
 */

/*
 *  This structure holds context information for an FNV512 hash
 */
#ifdef FNV_64bitIntegers
    /* version if 64-bit integers supported */
typedef struct FNV512context_s {
        int Computed;  /* state */
        uint32_t Hash[FNV512size/4];
} FNV512context;

#else
    /* version if 64-bit integers NOT supported */
typedef struct FNV512context_s {
        int Computed;  /* state */
        uint16_t Hash[FNV512size/2];
} FNV512context;

#endif /* FNV_64bitIntegers */

/*  Function Prototypes:
 *
 *    FNV512string: hash a zero-terminated string not including
 *                  the terminating zero
 *    FNV512stringBasis: also takes an offset_basis parameter
 *
 *    FNV512block: hash a specified length byte vector
 *    FNV512blockBasis: also takes an offset_basis parameter
 *
 *    FNV512file: hash the contents of a file
 *    FNV512fileBasis: also takes an offset_basis parameter
 *
 *    FNV512init: initializes an FNV1024 context
 *    FNV512initBasis: initializes an FNV1024 context with a
 *                     provided 128-byte vector basis
 *    FNV512blockin: hash in a specified length byte vector
 *    FNV512stringin: hash in a zero-terminated string not
 *                    including the terminating zero
 *    FMNV512filein:    FNV512filein: hash in the contents of a file
 *    FNV512result: returns the hash value
 *
 *    Hash is returned as an array of 8-bit unsigned integers
 */

#ifdef __cplusplus
extern "C" {
#endif

/* FNV512 */
extern int FNV512string ( const char *in,
                          uint8_t out[FNV512size] );
extern int FNV512stringBasis ( const char *in,
                               uint8_t out[FNV512size],
                               const uint8_t basis[FNV512size] );
extern int FNV512block ( const void *vin,
                         long int length,
                         uint8_t out[FNV512size] );
extern int FNV512blockBasis ( const void *vin,
                              long int length,
                              uint8_t out[FNV512size],
                              const uint8_t basis[FNV512size] );
extern int FNV512file ( const char *fname,
                        uint8_t out[FNV512size] );
extern int FNV512fileBasis ( const char *fname,
                             uint8_t out[FNV512size],
                             const uint8_t basis[FNV512size] );
extern int FNV512init ( FNV512context * const );
extern int FNV512initBasis ( FNV512context * const,
                             const uint8_t basis[FNV512size] );
extern int FNV512blockin ( FNV512context * const,
                           const void *vin,
                           long int length );
extern int FNV512stringin ( FNV512context * const,
                            const char *in );
extern int FNV512filein ( FNV512context * const,
                          const char *fname );
extern int FNV512result ( FNV512context * const,
                          uint8_t out[FNV512size] );

#ifdef __cplusplus
}
#endif

#endif /* _FNV512_H_ */
]]></sourcecode>

<!-- [rfced] Section 8.2.5:  Should the two instances of
"FNV1024 context" be "FNV512 context" in these lines, and should
"128-byte" be "64-byte"?

Original:
 *    FNV512init: initializes an FNV1024 context
 *    FNV512initBasis: initializes an FNV1024 context with a
 *                      provided 128-byte vector basis -->

<sourcecode type="C" type="c" markers="true" name="FNV512.c">
<![CDATA[ name="FNV512.c"><![CDATA[
//**************************** FNV512.c **************************//
//******************* See RFC NNNN 9923 for details *******************// details. ******************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

/* This file implements the FNV (Fowler, Noll, Vo) (Fowler/Noll/Vo) non-cryptographic
 * hash function FNV-1a for 512-bit hashes.
 */

#include <stdio.h>

#include "fnv-private.h"
#include "FNV512.h"

//*****************************************************************
//  COMMON CODE FOR 64- AND 32-BIT INTEGER MODES
//*****************************************************************

/* FNV512 hash a zero-terminated string not including the zero
 ******************************************************************/
int FNV512string ( const char *in, uint8_t out[FNV512size] ) {
    FNV512context ctx;
    int error;

    if ( (error = FNV512init ( &ctx )) )
        return error;
    if ( (error = FNV512stringin ( &ctx, in )) )
        return error;
    return FNV512result ( &ctx, out );
}   /* end FNV512string */

/* FNV512 hash a zero-terminated string not including the zero
 * with a non-standard basis
 ******************************************************************/
int FNV512stringBasis ( const char *in,
                        uint8_t out[FNV512size],
                        const uint8_t basis[FNV512size] ) {
    FNV512context ctx;
    int error;

    if ( (error = FNV512initBasis ( &ctx, basis )) )
        return error;
    if ( (error = FNV512stringin ( &ctx, in )) )
        return error;
    return FNV512result ( &ctx, out );
}   /* end FNV512stringBasis */

/* FNV512 hash a counted block  (64/32-bit)
 ******************************************************************/
int FNV512block ( const void *vin,
                  long int length,
                  uint8_t out[FNV512size] ) {
    FNV512context ctx;
    int error;

    if ( (error = FNV512init ( &ctx )) )
        return error;
    if ( (error = FNV512blockin ( &ctx, vin, length)) )
        return error;
    return FNV512result ( &ctx, out );
}   /* end FNV512block */

/* FNV512 hash a counted block  (64/32-bit)
 * with a non-standard basis  (64/32-bit)
 ******************************************************************/
int FNV512blockBasis ( const void *vin,
                       long int length,
                       uint8_t out[FNV512size],
                       const uint8_t basis[FNV512size] ) {
    FNV512context ctx;
    int error;

    if ( (error = FNV512initBasis ( &ctx, basis )) )
        return error;
    if ( (error = FNV512blockin ( &ctx, vin, length)) )
        return error;
    return FNV512result ( &ctx, out );
}   /* end FNV512blockBasis */

/* hash the contents of a file
 ******************************************************************/
int FNV512file ( const char *fname,
                 uint8_t out[FNV512size] ) {
    FNV512context e512Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV512init (&e512Context)) )
        return error;
    if ( (error = FNV512filein (&e512Context, fname)) )
        return error;
    return FNV512result ( &e512Context, out );
}   /* end FNV512file */

/* hash the contents of a file with a non-standard basis
 ******************************************************************/
int FNV512fileBasis ( const char *fname,
                      uint8_t out[FNV512size],
                      const uint8_t basis[FNV512size] ) {
    FNV512context e512Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV512initBasis (&e512Context, basis)) )
        return error;
    if ( (error = FNV512filein (&e512Context, fname)) )
        return error;
    return FNV512result ( &e512Context, out );
}   /* end FNV512fileBasis */

/* hash in the contents of a file
 ******************************************************************/
int FNV512filein ( FNV512context * const e512Context,
                    const char *fname ) {
    FILE *fp;
    long int i;
    char buf[1024];
    int error;

    if ( !e512Context || !fname )
        return fnvNull;
    switch ( e512Context->Computed ) {
        case FNVinited+FNV512state:
            e512Context->Computed = FNVcomputed+FNV512state;
            break;
        case FNVcomputed+FNV512state:
            break;
        default:
             return fnvStateError;
    }
    if ( ( fp = fopen ( fname, "rb") ) == NULL )
        return fnvBadParam;
    if ( (error = FNV512blockin ( e512Context, "", 0)) ) {
        fclose(fp);
        return error;
    }
    while ( ( i = fread ( buf, 1, sizeof(buf), fp ) ) > 0 )
        if ( (error=FNV512blockin ( e512Context, buf, i)) ) {
            fclose(fp);
            return error;
        }
    error = ferror(fp);
    fclose(fp);
    if (error) return fnvBadParam;
    return fnvSuccess;
}   /* end FNV512filein */

//*****************************************************************
// START VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//*****************************************************************
#ifdef FNV_64bitIntegers

/* 512-bit FNV_prime = 2^344 + 2^8 + 0x57 =
   0x0000000000000000 0000000000000000
     0000000001000000 0000000000000000
     0000000000000000 0000000000000000
     0000000000000000 0000000000000157 */
#define FNV512primeX 0x0157
#define FNV512shift 24

//*****************************************************************
//         Set of init, input, and output functions below
//         to incrementally compute FNV512
//*****************************************************************

/* initialize context  (64-bit)
 ******************************************************************/
int FNV512init ( FNV512context * const ctx ) {
    const uint32_t FNV512basis[FNV512size/4] = {
         0xB86DB0B1, 0x171F4416, 0xDCA1E50F, 0x309990AC,
         0xAC87D059, 0xC9000000, 0x00000000, 0x00000D21,
         0xE948F68A, 0x34C192F6, 0x2EA79BC9, 0x42DBE7CE,
         0x18203641, 0x5F56E34B, 0xAC982AAC, 0x4AFE9FD9 };

    if ( !ctx )
        return fnvNull;
    for ( int i=0; i<FNV512size/4; ++i )
        ctx->Hash[i] = FNV512basis[i];
    ctx->Computed = FNVinited+FNV512state;
    return fnvSuccess;
}   /* end FNV512init */

/* initialize context with a provided 64-byte vector basis  (64-bit)
 ******************************************************************/
int FNV512initBasis ( FNV512context * const ctx,
                      const uint8_t basis[FNV512size] ) {
     if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV512size/4; ++i ) {
        uint32_t temp = *basis++<<24;
        temp += *basis++<<16;
        temp += *basis++<<8;
        ctx->Hash[i] = temp + *basis++;
    }
    ctx->Computed = FNVinited+FNV512state;
    return fnvSuccess;
}   /* end FNV512initBasis */

/* hash in a counted block  (64-bit)
 ******************************************************************/
int FNV512blockin ( FNV512context * const ctx,
                    const void *vin,
                    long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint64_t temp[FNV512size/4];
    uint64_t temp2[6];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV512state:
            ctx->Computed = FNVcomputed+FNV512state;
            break;
        case FNVcomputed+FNV512state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV512size/4; ++i )
         temp[i] = ctx->Hash[i];  // copy into temp
    for ( ; length > 0; length-- ) {
        /* temp = FNV512prime * ( temp ^ *in++ ); */
        temp[FNV512size/4-1] ^= *in++;
        for ( i=0; i<6; ++i )
            temp2[5-i] = temp[FNV512size/4-1-i] << FNV512shift;
        for ( i=0; i<FNV512size/4; ++i )
            temp[i] *= FNV512primeX;
        for ( i=0; i<6; ++i )
            temp[i] += temp2[i];
        for ( i=FNV512size/4-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 32; // propagate carries
            temp[i] &= 0xFFFFFFFF;
        }
    }   /* end for length */
    for ( i=0; i<FNV512size/4; ++i )
        ctx->Hash[i] = (uint32_t)temp[i];  // store back into hash
    return fnvSuccess;
}   /* end FNV512blockin */

/* hash in a zero-terminated string not including the zero  (64-bit)
 ******************************************************************/
int FNV512stringin ( FNV512context * const ctx, const char *in ) {
    uint64_t temp[FNV512size/4];
    uint64_t temp2[6];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV512state:
            ctx->Computed = FNVcomputed+FNV512state;
            break;
        case FNVcomputed+FNV512state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV512size/4; ++i )
         temp[i] = ctx->Hash[i];  // copy into temp
    while ( (ch = (uint8_t)*in++) ) {
        /* temp = FNV512prime * ( temp ^ ch ); */
        temp[FNV512size/4-1] ^= ch;
        for ( i=0; i<6; ++i )
            temp2[5-i] = temp[FNV512size/4-1-i] << FNV512shift;
        for ( i=0; i<FNV512size/4; ++i )
            temp[i] *= FNV512primeX;
        for ( i=0; i<6; ++i )
            temp[i] += temp2[i];
        for ( i=FNV512size/4-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 32; // propagate carries
            temp[i] &= 0xFFFFFFFF;
        }
    }
    for ( i=0; i<FNV512size/4; ++i )
        ctx->Hash[i] = (uint32_t)temp[i];  // store back into hash
    return fnvSuccess;
}   /* end FNV512stringin */

/* return hash  (64-bit)
 ******************************************************************/
int FNV512result ( FNV512context * const ctx,
                   uint8_t out[FNV512size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV512state )
        return fnvStateError;
    for ( int i=0; i<FNV512size/4; ++i ) {
        out[4*i] = ctx->Hash[i] >> 24;
        out[4*i+1] = ctx->Hash[i] >> 16;
        out[4*i+2] = ctx->Hash[i] >> 8;
        out[4*i+3] = ctx->Hash[i];
        ctx -> Hash[i] = 0;
    }
    ctx->Computed = FNVemptied+FNV512state;
    return fnvSuccess;
}   /* end FNV512result */

//*****************************************************************
// END VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//*****************************************************************
#else    /*  FNV_64bitIntegers */
//*****************************************************************
// START VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//*****************************************************************

/* 512-bit FNV_prime = 2^344 + 2^8 + 0x57 =
   0x00000000 00000000 00000000 00000000
     00000000 01000000 00000000 00000000
     00000000 00000000 00000000 00000000
     00000000 00000000 00000000 00000157 */
#define FNV512primeX 0x0157
#define FNV512shift 8

//*****************************************************************
//         Set of init, input, and output functions below
//         to incrementally compute FNV512
//*****************************************************************

/* initialize context  (32-bit)
 ******************************************************************/
int FNV512init ( FNV512context * const ctx ) {
    const uint16_t FNV512basis[FNV512size/2] = {
0xB86D, 0xB0B1, 0x171F, 0x4416, 0xDCA1, 0xE50F, 0x3099, 0x90AC,
0xAC87, 0xD059, 0xC900, 0x0000, 0x0000, 0x0000, 0x0000, 0x0D21,
0xE948, 0xF68A, 0x34C1, 0x92F6, 0x2EA7, 0x9BC9, 0x42DB, 0xE7CE,
0x1820, 0x3641, 0x5F56, 0xE34B, 0xAC98, 0x2AAC, 0x4AFE, 0x9FD9 };

    if ( !ctx )
        return fnvNull;
    for ( int i=0; i<FNV512size/2; ++i )
        ctx->Hash[i] = FNV512basis[i];
    ctx->Computed = FNVinited+FNV512state;
    return fnvSuccess;
}   /* end FNV512init */

/* initialize context with a provided 64-byte vector basis  (32-bit)
 ******************************************************************/
int FNV512initBasis ( FNV512context * const ctx,
                      const uint8_t basis[FNV512size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV512size/2; ++i ) {
        uint32_t temp = *basis++;
        ctx->Hash[i] = ( temp<<8 ) +  *basis++;
    }
    ctx->Computed = FNVinited+FNV512state;
    return fnvSuccess;
}   /* end FNV512initBasis */

/* hash in a counted block  (32-bit)
 ******************************************************************/
int FNV512blockin ( FNV512context * const ctx,
                    const void *vin,
                    long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp[FNV512size/2];
    uint32_t temp2[11];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
   switch ( ctx->Computed ) {
        case FNVinited+FNV512state:
            ctx->Computed = FNVcomputed+FNV512state;
            break;
        case FNVcomputed+FNV512state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV512size/2; ++i )
        temp[i] = ctx->Hash[i];  // copy into temp
    for ( ; length > 0; length-- ) {
        /* temp = FNV512prime * ( temp ^ *in++ ); */
        temp[FNV512size/2-1] ^= *in++;
        for ( i=0; i<11; ++i )
            temp2[10-i] = temp[FNV512size/2-1-i] << FNV512shift;
        for ( i=0; i<FNV512size/2; ++i )
            temp[i] *= FNV512primeX;
        for ( i=0; i<11; ++i )
            temp[i] += temp2[i];
        for ( i=FNV512size/2-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 16; // propagate carries
            temp[i] &= 0xFFFF;
        }
    }   /* end for length */
    for ( i=0; i<FNV512size/2; ++i )
        ctx->Hash[i] = (uint16_t)temp[i];  // store back into hash
    return fnvSuccess;
}   /* end FNV512blockin */

/* hash in a zero-terminated string not including the zero  (32-bit)
 ******************************************************************/
int FNV512stringin ( FNV512context * const ctx, const char *in ) {
    uint32_t temp[FNV512size/2];
    uint32_t temp2[11];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV512state:
            ctx->Computed = FNVcomputed+FNV512state;
            break;
        case FNVcomputed+FNV512state:
            break;
        default:
             return fnvStateError;
    }
    for ( i=0; i<FNV512size/2; ++i )
         temp[i] = ctx->Hash[i];  // copy into temp
    while ( (ch = (uint8_t)*in++) ) {
        /* temp = FNV512prime * ( temp ^ *in++ ); */
        temp[FNV512size/2-1] ^= ch;
        for ( i=0; i<11; ++i )
            temp2[10-i] = temp[FNV512size/2-1-i] << FNV512shift;
        for ( i=0; i<FNV512size/2; ++i )
            temp[i] *= FNV512primeX;
        for ( i=0; i<11; ++i )
            temp[i] += temp2[i];
        for ( i=FNV512size/2-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 16; // propagate carries
            temp[i] &= 0xFFFF;
        }
    }
    for ( i=0; i<FNV512size/2; ++i )
        ctx->Hash[i] = temp[i];  // store back into hash
    return fnvSuccess;
}   /* end FNV512stringin */

/* return hash  (32-bit)
 ******************************************************************/
int FNV512result ( FNV512context * const ctx,
                   uint8_t out[FNV512size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV512state )
        return fnvStateError;
    for ( int i=0; i<FNV512size/2; ++i ) {
        out[2*i] = ctx->Hash[i] >> 8;
        out[2*i+1] = ctx->Hash[i];
        ctx->Hash[i] = 0;
    }
    ctx->Computed = FNVemptied+FNV512state;
    return fnvSuccess;
}   /* end FNV512result */

#endif    /*  FNV_64bitIntegers */
//*****************************************************************
// END VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//*****************************************************************
]]></sourcecode>

</section>

<section>
  <name>FNV1024 Code</name>

<t>The following code is the header and C source for 1024-bit FNV-1a providing a byte
vector hash.</t>

<sourcecode type="C" type="c" markers="true" name="FNV1024.h">
<![CDATA[ name="FNV1024.h"><![CDATA[
//*********************** FNV1024.h ***********************//
//************* See RFC NNNN 9923 for details. *****************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

#ifndef _FNV1024_H_
#define _FNV1024_H_

/*
 *  Description:
 *      This file provides headers for the 1024-bit version of
 *      the FNV-1a non-cryptographic hash algorithm.
 */

#include "FNVconfig.h"
#include "FNVErrorCodes.h"

#include <stdint.h>
#define FNV1024size (1024/8)

/* If you do not have the ISO standard stdint.h header file, then
 * you must typedef the following types:
 *
 *    type              meaning
 *  uint64_t    unsigned 64-bit integer (ifdef FNV_64bitIntegers)
 *  uint32_t    unsigned 32-bit integer
 *  uint16_t    unsigned 16-bit integer
 *  uint8_t     unsigned 8-bit integer (i.e., unsigned char)
 */

/*
 *  This structure holds context information for an FNV1024 hash
 */
#ifdef FNV_64bitIntegers
    /* version if 64-bit integers supported */
typedef struct FNV1024context_s {
        int Computed;  /* state */
        uint32_t Hash[FNV1024size/4];
} FNV1024context;

#else
    /* version if 64-bit integers NOT supported */
typedef struct FNV1024context_s {
        int Computed;  /* state */
        uint16_t Hash[FNV1024size/2];
} FNV1024context;

#endif /* FNV_64bitIntegers */

/*  Function Prototypes:
 *
 *    FNV1024string: hash a zero-terminated string not including
 *                   the terminating zero
 *    FNV1024stringBasis: also takes an offset_basis parameter
 *
 *    FNV1024block: hash a specified length byte vector
 *    FNV1024blockBasis: also takes an offset_basis parameter
 *
 *    FNV1024file: hash the contents of a file
 *    FNV1024fileBasis: also takes an offset_basis parameter
 *
 *    FNV1024init: initializes an FNV1024 context
 *    FNV1024initBasis: initializes an FNV1024 context with a
 *                      provided 128-byte vector basis
 *    FNV1024blockin: hash in a specified length byte vector
 *    FNV1024stringin: hash in a zero-terminated string not
 *                     including the terminating zero
 *    FNV1024filein: hash in the contents of a file
 *    FNV1024result: returns the hash value
 *
 *    Hash is returned as an array of 8-bit unsigned integers
 */

#ifdef __cplusplus
extern "C" {
#endif

/* FNV1024 */
extern int FNV1024string ( const char *in,
                           uint8_t out[FNV1024size] );
extern int FNV1024stringBasis ( const char *in,
                                uint8_t out[FNV1024size],
                                const uint8_t basis[FNV1024size] );
extern int FNV1024block ( const void *vin,
                          long int length,
                          uint8_t out[FNV1024size] );
extern int FNV1024blockBasis ( const void *vin,
                               long int length,
                               uint8_t out[FNV1024size],
                               const uint8_t basis[FNV1024size] );
extern int FNV1024file ( const char *fname,
                         uint8_t out[FNV1024size] );
extern int FNV1024fileBasis ( const char *fname,
                              uint8_t out[FNV1024size],
                              const uint8_t basis[FNV1024size] );
extern int FNV1024init ( FNV1024context * const );
extern int FNV1024initBasis ( FNV1024context * const,
                              const uint8_t basis[FNV1024size] );
extern int FNV1024blockin ( FNV1024context * const,
                            const void *vin,
                            long int length );
extern int FNV1024stringin ( FNV1024context * const,
                            const char *in );
extern int FNV1024filein ( FNV1024context * const,
                           const char *fname );
extern int FNV1024result ( FNV1024context * const,
                           uint8_t out[FNV1024size] );

#ifdef __cplusplus
}
#endif

#endif /* _FNV1024_H_ */
]]></sourcecode>

<sourcecode type="C" type="c" markers="true" name="FNV1024.c">
<![CDATA[ name="FNV1024.c"><![CDATA[
//************************** FNV1024.c **************************//
//****************** See RFC NNNN 9923 for details *******************// details. ******************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

/* This file implements the FNV (Fowler, Noll, Vo) (Fowler/Noll/Vo) non-cryptographic
 * hash function FNV-1a for 1024-bit hashes.
 */

#include <stdio.h>

#include "fnv-private.h"
#include "FNV1024.h"

//*****************************************************************
//  COMMON CODE FOR 64- AND 32-BIT INTEGER MODES
//*****************************************************************

/* FNV1024 hash a zero-terminated string not including the zero
 ******************************************************************/
int FNV1024string ( const char *in, uint8_t out[FNV1024size] ) {
    FNV1024context ctx;
    int error;

    if ( (error = FNV1024init ( &ctx )) )
        return error;
    if ( (error = FNV1024stringin ( &ctx, in )) )
        return error;
    return FNV1024result ( &ctx, out );
}   /* end FNV1024string */

/* FNV1024 hash a zero-terminated string not including the zero
 * with a non-standard basis
 ******************************************************************/
int FNV1024stringBasis ( const char *in,
                         uint8_t out[FNV1024size],
                         const uint8_t basis[FNV1024size] ) {
    FNV1024context ctx;
    int error;

    if ( (error = FNV1024initBasis ( &ctx, basis )) )
        return error;
    if ( (error = FNV1024stringin ( &ctx, in )) )
        return error;
    return FNV1024result ( &ctx, out );
}   /* end FNV1024stringBasis */

/* FNV1024 hash a counted block  (64/32-bit)
 ******************************************************************/
int FNV1024block ( const void *vin,
                   long int length,
                   uint8_t out[FNV1024size] ) {
    FNV1024context ctx;
    int error;

    if ( (error = FNV1024init ( &ctx )) )
        return error;
    if ( (error = FNV1024blockin ( &ctx, vin, length)) )
        return error;
    return FNV1024result ( &ctx, out );
}   /* end FNV1024block */

/* FNV1024 hash a counted block  (64/32-bit)
 * with a non-standard basis
 ******************************************************************/
int FNV1024blockBasis ( const void *vin,
                        long int length,
                        uint8_t out[FNV1024size],
                        const uint8_t basis[FNV1024size] ) {
    FNV1024context ctx;
    int error;

    if ( (error = FNV1024initBasis ( &ctx, basis )) )
        return error;
    if ( (error = FNV1024blockin ( &ctx, vin, length)) )
        return error;
    return FNV1024result ( &ctx, out );
}   /* end FNV1024blockBasis */

/* hash the contents of a file
 ******************************************************************/
int FNV1024file ( const char *fname,
                  uint8_t out[FNV1024size] ) {
    FNV1024context e1024Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV1024init (&e1024Context)) )
        return error;
    if ( (error = FNV1024filein (&e1024Context, fname)) )
        return error;
    return FNV1024result ( &e1024Context, out );
}   /* end FNV1024file */

/* hash the contents of a file with a non-standard basis
 ******************************************************************/
int FNV1024fileBasis ( const char *fname,
                       uint8_t out[FNV1024size],
                       const uint8_t basis[FNV1024size] ) {
    FNV1024context e1024Context;
    int error;

    if ( !out )
        return fnvNull;
    if ( (error = FNV1024initBasis (&e1024Context, basis)) )
        return error;
    if ( (error = FNV1024filein (&e1024Context, fname)) )
        return error;
    return FNV1024result ( &e1024Context, out );
}   /* end FMV1024fileBasis FNV1024fileBasis */

/* hash in the contents of a file
 ******************************************************************/
int FNV1024filein ( FNV1024context * const e1024Context,
                    const char *fname ) {
    FILE *fp;
    long int i;
    char buf[1024];
    int error;

    if ( !e1024Context || !fname )
        return fnvNull;
    switch ( e1024Context->Computed ) {
        case FNVinited+FNV1024state:
            e1024Context->Computed = FNVcomputed+FNV1024state;
            break;
        case FNVcomputed+FNV1024state:
            break;
        default:
             return fnvStateError;
    }
    if ( ( fp = fopen ( fname, "rb") ) == NULL )
        return fnvBadParam;
    if ( (error = FNV1024blockin ( e1024Context, "", 0)) ) {
        fclose(fp);
        return error;
    }
    while ( ( i = fread ( buf, 1, sizeof(buf), fp ) ) > 0 )
        if ( (error = FNV1024blockin ( e1024Context, buf, i)) ) {
            fclose(fp);
            return error;
        }
    error = ferror(fp);
    fclose(fp);
    if (error) return fnvBadParam;
    return fnvSuccess;
}   /* end FNV1024filein */

//****************************************************************//
// START VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//****************************************************************//
#ifdef FNV_64bitIntegers

/* 1024-bit FNV_prime = 2^680 + 2^8 + 0x8d =
   0x0000000000000000 0000000000000000
     0000000000000000 0000000000000000
     0000000000000000 0000010000000000
     0000000000000000 0000000000000000
     0000000000000000 0000000000000000
     0000000000000000 0000000000000000
     0000000000000000 0000000000000000
     0000000000000000 000000000000018D */
#define FNV1024primeX 0x018D
#define FNV1024shift 8

//***************************************************************//
//         Set of init, input, and output functions below
//         to incrementally compute FNV1024
//**************************************************************//

/* initialize context  (64-bit)
 ******************************************************************/
int FNV1024init ( FNV1024context * const ctx ) {
    const uint32_t FNV1024basis[FNV1024size/4] = {
      0x00000000, 0x00000000, 0x005F7A76, 0x758ECC4D,
      0x32E56D5A, 0x591028B7, 0x4B29FC42, 0x23FDADA1,
      0x6C3BF34E, 0xDA3674DA, 0x9A21D900, 0x00000000,
      0x00000000, 0x00000000, 0x00000000, 0x00000000,
      0x00000000, 0x00000000, 0x00000000, 0x00000000,
      0x00000000, 0x00000000, 0x00000000, 0x0004C6D7,
      0xEB6E7380, 0x2734510A, 0x555F256C, 0xC005AE55,
      0x6BDE8CC9, 0xC6A93B21, 0xAFF4B16C, 0x71EE90B3 };

    if ( !ctx )
        return fnvNull;
    for ( int i=0; i<FNV1024size/4; ++i )
        ctx->Hash[i] = FNV1024basis[i];
    ctx->Computed = FNVinited+FNV1024state;
    return fnvSuccess;
}   /* end FNV1024init */

/* initialize context with a provided 128-byte vector basis  (64-bit)
 ******************************************************************/
 *******************************************************************/
int FNV1024initBasis ( FNV1024context * const ctx,
                       const uint8_t basis[FNV1024size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV1024size/4; ++i ) {
        uint32_t temp = *basis++<<24;
        temp += *basis++<<16;
        temp += *basis++<<8;
        ctx->Hash[i] = temp + *basis++;
    }
    ctx->Computed = FNVinited+FNV1024state;
    return fnvSuccess;
}   /* end FNV1024initBasis */

/* hash in a counted block  (64-bit)
 ******************************************************************/
int FNV1024blockin ( FNV1024context * const ctx,
                     const void *vin,
                     long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint64_t temp[FNV1024size/4];
    uint64_t temp2[11];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV1024state:
            ctx->Computed = FNVcomputed+FNV1024state;
            break;
        case FNVcomputed+FNV1024state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV1024size/4; ++i )
         temp[i] = ctx->Hash[i];  // copy into temp
    for ( ; length > 0; length-- ) {
        /* temp = FNV1024prime * ( temp ^ *in++ ); */
        temp[FNV1024size/4-1] ^= *in++;
        for ( i=0; i<11; ++i )
            temp2[10-i] = temp[FNV1024size/4-1-i] << FNV1024shift;
        for ( i=0; i<FNV1024size/4; ++i )
            temp[i] *= FNV1024primeX;
        for ( i=0; i<11; ++i )
            temp[i] += temp2[i];
        for ( i=FNV1024size/4-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 32;  // propagate carries
            temp[i] &= 0xFFFFFFFF;
        }
    }   /* end for length */
    for ( i=0; i<FNV1024size/4; ++i )
        ctx->Hash[i] = (uint32_t)temp[i];  // store back into hash
    return fnvSuccess;
}   /* end FNV1024blockin */

/* hash in a zero-terminated string not including the zero  (64-bit)
 ******************************************************************/
int FNV1024stringin ( FNV1024context * const ctx, const char *in ) {
    uint64_t temp[FNV1024size/4];
    uint64_t temp2[11];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV1024state:
            ctx->Computed = FNVcomputed+FNV1024state;
            break;
        case FNVcomputed+FNV1024state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV1024size/4; ++i )
         temp[i] = ctx->Hash[i];  // copy into temp
    while ( (ch = (uint8_t)*in++) ) {
        /* temp = FNV1024prime * ( temp ^ ch ); */
        temp[FNV1024size/4-1] ^= ch;
        for ( i=0; i<11; ++i )
            temp2[10-i] = temp[FNV1024size/4-1-i] << FNV1024shift;
        for ( i=0; i<FNV1024size/4; ++i )
            temp[i] *= FNV1024primeX;
        for ( i=0; i<11; ++i )
                temp[i] += temp2[i];
        for ( i=FNV1024size/4-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 32;
            temp[i] &= 0xFFFFFFFF;
        }
    }
    for ( i=0; i<FNV1024size/4; ++i )
        ctx->Hash[i] = (uint32_t)temp[i];  // store back into hash
    return fnvSuccess;
}   /* end FNV1024stringin */

/* return hash  (64-bit)
 ******************************************************************/
int FNV1024result ( FNV1024context * const ctx,
                    uint8_t out[FNV1024size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV1024state )
        return fnvStateError;
    for ( int i=0; i<FNV1024size/4; ++i ) {
        out[4*i] = ctx->Hash[i] >> 24;
        out[4*i+1] = ctx->Hash[i] >> 16;
        out[4*i+2] = ctx->Hash[i] >> 8;
        out[4*i+3] = ctx->Hash[i];
        ctx -> Hash[i] = 0;
    }
    ctx->Computed = FNVemptied+FNV1024state;
    return fnvSuccess;
}   /* end FNV1024result */

//****************************************************************//
// END VERSION FOR WHEN YOU HAVE 64-BIT ARITHMETIC
//***************************************************************//
//****************************************************************//
#else    /*  FNV_64bitIntegers */
//***************************************************************//
//****************************************************************//
// START VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//***************************************************************//
//****************************************************************//

/* version for when you only have 32-bit arithmetic
 ******************************************************************/

/*
 1024-bit FNV_prime = 2^680 + 2^8 + 0x8d =
   0x00000000 00000000 00000000 00000000
     00000000 00000000 00000000 00000000
     00000000 00000000 00000100 00000000
     00000000 00000000 00000000 00000000
     00000000 00000000 00000000 00000000
     00000000 00000000 00000000 00000000
     00000000 00000000 00000000 00000000
     00000000 00000000 00000000 0000018D */
#define FNV1024primeX 0x018D
#define FNV1024shift 8

//*****************************************************************
//         Set of init, input, and output functions below
//         to incrementally compute FNV1024
//*****************************************************************

/* initialize context  (32-bit)
 ******************************************************************/
int FNV1024init ( FNV1024context * const ctx ) {
    const uint16_t FNV1024basis[FNV1024size/2] = {
0x0000, 0x0000, 0x0000, 0x0000, 0x005F, 0x7A76, 0x758E, 0xCC4D,
0x32E5, 0x6D5A, 0x5910, 0x28B7, 0x4B29, 0xFC42, 0x23FD, 0xADA1,
0x6C3B, 0xF34E, 0xDA36, 0x74DA, 0x9A21, 0xD900, 0x0000, 0x0000,
0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0004, 0xC6D7,
0xEB6E, 0x7380, 0x2734, 0x510A, 0x555F, 0x256C, 0xC005, 0xAE55,
0x6BDE, 0x8CC9, 0xC6A9, 0x3B21, 0xAFF4, 0xB16C, 0x71EE, 0x90B3 };

    if ( !ctx )
        return fnvNull;
    for ( int i=0; i<FNV1024size/2; ++i )
        ctx->Hash[i] = FNV1024basis[i];
    ctx->Computed = FNVinited+FNV1024state;
    return fnvSuccess;
}   /* end FNV1024init */

/* initialize context with a provided 128-byte vector basis  (32-bit)
 ******************************************************************/
 *******************************************************************/
int FNV1024initBasis ( FNV1024context * const ctx,
                       const uint8_t basis[FNV1024size] ) {
    if ( !ctx || !basis )
        return fnvNull;
    for ( int i=0; i < FNV1024size/2; ++i ) {
        uint32_t temp = *basis++;
        ctx->Hash[i] = ( temp<<8 ) +  *basis++;
    }
    ctx->Computed = FNVinited+FNV1024state;
    return fnvSuccess;
}   /* end FNV1024initBasis */

/* hash in a counted block  (32-bit)
 ******************************************************************/
int FNV1024blockin ( FNV1024context * const ctx,
                    const void *vin,
                    long int length ) {
    const uint8_t *in = (const uint8_t*)vin;
    uint32_t temp[FNV1024size/2];
    uint32_t temp2[22];
    int i;

    if ( !ctx || !in )
        return fnvNull;
    if ( length < 0 )
        return fnvBadParam;
    switch ( ctx->Computed ) {
        case FNVinited+FNV1024state:
            ctx->Computed = FNVcomputed+FNV1024state;
            break;
        case FNVcomputed+FNV1024state:
            break;
        default:
            return fnvStateError;
    }
    for ( i=0; i<FNV1024size/2; ++i )
        temp[i] = ctx->Hash[i];  // copy into temp
    for ( ; length > 0; length-- ) {
        /* temp = FNV1024prime * ( temp ^ *in++ ); */
        temp[FNV1024size/2-1] ^= *in++;
        for ( i=0; i<22; ++i )
            temp2[21-i] = temp[FNV1024size/2-1-i] << FNV1024shift;
        for ( i=0; i<FNV1024size/2; ++i )
            temp[i] *= FNV1024primeX;
        for ( i=0; i<22; ++i )
            temp[i] += temp2[i];
        for ( i=FNV1024size/2-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 16; // propagate carries
            temp[i] &= 0xFFFF;
        }
    }
    for ( i=0; i<FNV1024size/2; ++i )
        ctx->Hash[i] = temp[i];  // store back into hash
    return fnvSuccess;
}   /* end FNV1024blockin */

/* hash in a zero-terminated string not including the zero  (32-bit)
 ******************************************************************/
int FNV1024stringin ( FNV1024context * const ctx, const char *in ) {
    uint32_t temp[FNV1024size/2];
    uint32_t temp2[22];
    int i;
    uint8_t ch;

    if ( !ctx || !in )
        return fnvNull;
    switch ( ctx->Computed ) {
        case FNVinited+FNV1024state:
            ctx->Computed = FNVcomputed+FNV1024state;
            break;
        case FNVcomputed+FNV1024state:
            break;
        default:
             return fnvStateError;
    }
    for ( i=0; i<FNV1024size/2; ++i )
         temp[i] = ctx->Hash[i];  // copy into temp
    while ( (ch = (uint8_t)*in++) ) {
        /* temp = FNV1024prime * ( temp ^ *in++ ); */
        temp[FNV1024size/2-1] ^= ch;
        for ( i=0; i<22; ++i )
            temp2[21-i] = temp[FNV1024size/2-1-i] << FNV1024shift;
        for ( i=0; i<FNV1024size/2; ++i )
            temp[i] *= FNV1024primeX;
        for ( i=0; i<22; ++i )
             temp[i] += temp2[i];
        for ( i=FNV1024size/2-1; i>0; --i ) {
            temp[i-1] += temp[i] >> 16; // propagate carries
            temp[i] &= 0xFFFF;
        }
    }
    for ( i=0; i<FNV1024size/2; ++i )
        ctx->Hash[i] = temp[i];  // store back into hash
    return fnvSuccess;
}   /* end FNV1024stringin */

/* return hash  (32-bit)
 ******************************************************************/
int FNV1024result ( FNV1024context * const ctx,
                    uint8_t out[FNV1024size] ) {
    if ( !ctx || !out )
        return fnvNull;
    if ( ctx->Computed != FNVcomputed+FNV1024state )
        return fnvStateError;
    for ( int i=0; i<FNV1024size/2; ++i ) {
        out[2*i] = ctx->Hash[i] >> 8;
        out[2*i+1] = ctx->Hash[i];
        ctx->Hash[i] = 0;
    }
    ctx->Computed = FNVemptied+FNV1024state;
    return fnvSuccess;
}   /* end FNV1024result */

#endif    /*  FNV_64bitIntegers */
//****************************************************************//
// END VERSION FOR WHEN YOU ONLY HAVE 32-BIT ARITHMETIC
//****************************************************************//
]]></sourcecode>

</section>

</section>

<section>  <!-- 8.3 -->

<section anchor="sec-8.3">
  <name>FNV Test Code</name>

<t>Below is source code for a test driver with a command line
interface as documented in Section 8.1.3. <xref target="sec-8.1.3"/>. By default, with no command
line arguments, it runs tests of all FNV lengths.</t>

<sourcecode type="C" type="c" markers="true" name="main.c">
<![CDATA[ name="main.c"><![CDATA[
//************************* Main.c **************************//
//*************** See RFC NNNN 9923 for details. *****************//
/* Copyright (c) 2016, 2024, 2025 IETF Trust and the persons
 * identified as authors of the code.  All rights reserved.
 * See fnv-private.h for terms of use and redistribution.
 */

#include <ctype.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <unistd.h>
#include <errno.h>

/* To do a thorough test test, you need to run with
 * FNV_64bitIntegers defined and with it undefined
 */
#include "FNVconfig.h"
#include "fnv-private.h"
#include "FNV32.h"
#include "FNV64.h"
#include "FNV128.h"
#include "FNV256.h"
#include "FNV512.h"
#include "FNV1024.h"

/* global variables */
char             *funcName = "funcName not set?";
const char       *errteststring = "foo";
int              Terr = -1; /* Total errors */
int              verbose = 0; /* verbose flag */
enum { FNV32selected = 0, FNV64selected, FNV128selected,
       FNV256selected, FNV512selected, FNV1024selected,
       FNVnone = -1 } selected = FNVnone;
#define NTestBytes 3
const uint8_t   errtestbytes[NTestBytes] = { (uint8_t)1,
    (uint8_t)2, (uint8_t)3 };

// initial teststring is null null, so initial result is offset_basis
const char *teststring[] = {
        "",
        "a",
        "foobar",
        "Hello!\x01\xFF\xED"
};
#define NTstrings (sizeof(teststring)/sizeof(char *))

// due to FNV-1 versus FNV1a, xor in final backslash separately
const char      BasisString[] = "chongo <Landon Curt Noll> /\\../";
FNV32context    e32Context;
uint32_t        eUint32 = 42;
#ifdef FNV_64bitIntegers
  uint64_t      eUint64 = 42;
#endif
FNV64context    e64Context;
FNV128context   e128Context;
FNV256context   e256Context;
FNV512context   e512Context;
FNV1024context  e1024Context;
uint8_t         hash[FNV1024size];  /* largest size needed */
uint8_t         FakeBasis[FNV1024size];
uint8_t         ZeroBasis[FNV1024size];
char            tempFileNameTemplate[] = "tmp.XXXXXXXXXX";
const char      *tempFileName = 0;

//****************************************************************
// local prototypes in alphabetic alphabetical order
//****************************************************************
void CommonTest ( void );
void ErrTestReport ( void );
int find_selected(const char *optarg);
void HexPrint ( int count, const uint8_t *ptr );
void TestAll ( void );
void Test32 ( void );
void Test64 ( void );
void Test128 ( void );
void Test256 ( void );
void Test512 ( void );
void Test1024 ( void );
void TestNValue ( const char *subfunc,  // test calculated value
                  const char *string,
                  int N,                // size
                  const uint8_t *was,
                  const uint8_t should[N] );
int TestR ( const char *,
            int expect,
            int actual ); // test return code
void usage( const char *argv0 ); // print help message
void ValueTestReport ( void );      // print test results

#ifndef FNV_64bitIntegers
# undef uint64
# define uint64_t no_64_bit_integers
#endif /* FNV_64bitIntegers */

// array of function pointers, etc.
struct { // sometimes indexed into by the enum variable "selected"
    int length;
    void (*Testfunc)( void );
    int (*Stringfunc)( const char *, uint8_t *); // string
    int (*Blockfunc)( const void *, long int, uint8_t *); // block
    int (*Filefunc)( const char *, uint8_t *); // file
    int (*StringBasisfunc)
        ( const char *, uint8_t *, const uint8_t *); // stringBasis
    int (*BlockBasisfunc)
        (const void *, long int, uint8_t *,
         const uint8_t *); // blockBasis
    int (*FileBasisfunc)
        (const char *, uint8_t *, const uint8_t *); // fileBlock
} funcmap[] = {  // valid sizes
    { 32, Test32, FNV32string, FNV32block, FNV32file,
      FNV32stringBasis, FNV32blockBasis, FNV32fileBasis },
    { 64, Test64, FNV64string, FNV64block, FNV64file,
      FNV64stringBasis, FNV64blockBasis, FNV64fileBasis },
    { 128, Test128, FNV128string, FNV128block, FNV128file,
      FNV128stringBasis, FNV128blockBasis, FNV128fileBasis },
    { 256, Test256, FNV256string, FNV256block, FNV256file,
      FNV256stringBasis, FNV256blockBasis, FNV256fileBasis },
    { 512, Test512, FNV512string, FNV512block, FNV512file,
      FNV512stringBasis, FNV512blockBasis, FNV512fileBasis },
    { 1024, Test1024, FNV1024string, FNV1024block, FNV1024file,
      FNV1024stringBasis, FNV1024blockBasis, FNV1024fileBasis },
    { 0, Test32, FNV32string, FNV32block, FNV32file }  // fence post
};

//****************************************************************
//  main
//****************************************************************
int main( int argc, const char **argv ) {
    int option;  // command line option letter
    int i;
    uint16_t endianness = 5*256 + 11;

    mkstemp(tempFileNameTemplate);
    tempFileName = tempFileNameTemplate;

    if ( ((uint8_t *)&endianness)[0] != 11 )
        printf ("Coded for Little Endian but computer seems\n"
                " to be Big Endian! Multi-byte integer results\n"
                " may be incorrect!\n");
    for ( i=0; i<FNV1024size; ++i ) {// initialize a couple of arrays
        ZeroBasis[i] = 0;
        FakeBasis[i] = (uint8_t)i;
    }
    if ( argc == 1 ) {  // if no arguments
       TestAll();
        if ( tempFileName )
            unlink(tempFileName);
        exit(0);
     }

// process command line options
// *****************************************************************
//*****************************************************************
    while ((option = getopt(argc, (char *const *)argv, ":af:ht:u:v"))
           != -1) {
        if ( verbose )
            printf ( "Got option %c\n", option );
        switch ( option ) {
            case 'a':   // run all tests
                TestAll();
                break;
            case 'f':   // followed by name of file to hash
                if ( selected == FNVnone ) {
                    printf ( "No hash size selected.\n" );
                    break;
                }
                printf ( "FNV-%i Hash of contents of file '%s':\n",
                         funcmap[selected].length, optarg );
                if ( funcmap[selected].Filefunc ( optarg, hash ))
                    printf ( "Hashing file '%s' fails: %s.\n",
                        optarg, strerror(errno) );
                else
                    HexPrint ( funcmap[selected].length/8, hash );
                printf ( "\n" );
                break;
            case 'h':   // help
                usage( argv[0] );
                break;
            case 't':   // follow by size of FNV to test, 0->all
                selected = find_selected(optarg);
                if (selected == FNVnone)
                    printf ( "Bad argument to option -t\n"
                             "Valid sizes are 32, 64, 128,"
                             " 256, 512, and 1024\n");
                else
                    funcmap[selected].Testfunc();   // invoke test
                break;
            case 'u':   // follow by size of FNV to use
                selected = find_selected(optarg);
                if ( selected == FNVnone )
                    printf ( "Bad argument to option -u\n"
                             "Valid sizes are 32, 64, 128,"
                             "256, 512, and 1024\n" );
                break;
            case 'v':   // toggle Verbose flag
                if ( (verbose ^= 1) ) {
                    printf ( "Verbose on.\n" );
#ifdef FNV_64bitIntegers
                    printf ("Has 64-bit Integers. ");
#else
                    printf ("Does not have 64-bit integers. ");
#endif
                    // also tests the TestR function
                    funcName = "Testing TestR";
                    TestR ( "should fail", 1, 2 );
                    TestR ( "should not have failed", 3, 3 );
                }
                else
                    printf ( "Verbose off.\n" );
                break;
            case '?':   //
                printf ( "Unknown option %c\n", optopt );
                usage( argv[0] );
                return 1;
        }  /* end switch */
    }  /* end while */
    if ( ( option == -1 ) && verbose )
        printf ( "No more options.\n" );

// Through all the options, now, if a size is set, encrypt any
//   other tokens on the command line
//******************************************************
    for ( i = optind; i < argc; ++i ) {
        int rc;  // return code

        if ( selected == FNVnone ) {
            printf ( "No hash size selected.\n" );
            break;  // out of for
        }
        rc = funcmap[selected].Stringfunc(argv[i], hash);
        if ( rc )
            printf ( "FNV-%i of '%s' returns error %i\n",
                    funcmap[selected].length,
                    argv[i], rc );
        else {
            printf ( "FNV-%i of '%s' is ",
                    funcmap[selected].length, argv[i] );
            HexPrint ( funcmap[selected].length/8, hash );
            printf ( "\n" );
        }
    }
    if ( tempFileName )
        unlink(tempFileName);
    return 0;
}   /* end main */

/* Write to a temp file
 ******************************************************************/
const char *WriteTemp( const char *str, long int iLen ) {
    FILE *fp = fopen( tempFileName, "w" );
    if (!fp) {
        printf( "Cannot open tempfile: %s: %s\n",
                tempFileName, strerror(errno) );
        return 0;
    }
    long int ret = fwrite( str, 1, iLen, fp );
    fclose(fp);
    if ( ret != iLen ) {
        printf( "Cannot write tempfile: %s: %s\n",
                tempFileName, strerror(errno) );
        return 0;
    }
    return tempFileName;
}

//****************************************************************
//  Test status return code
//****************************************************************
int TestR ( const char *name, int expect, int actual ) {
    if ( expect != actual ) {
        printf ( "%s %s returned %i instead of %i.\n",
                 funcName, name, actual, expect );
        ++Terr;  /* increment error count */
        }
    return actual;
}    /* end TestR */

//****************************************************************
//  General byte vector return value test
//****************************************************************
void TestNValue ( const char *subfunc,
                  const char *string, //usually // usually what was hashed
                  int N,
                  const uint8_t was[N],
                  const uint8_t should[N] ) {
    if ( memcmp ( was, should, N) N ) != 0 ) {
        ++Terr;
        printf ( "%s %s of '%s'",
                funcName, subfunc, string );
        printf ( " computed " );
        HexPrint ( N, was );
        printf ( ", expected " );
        HexPrint ( N, should );
        printf ( ".\n" );
    }
    else if ( verbose ) {
        printf ( "%s %s of '%s' computed ",
                funcName, subfunc, string );
        HexPrint ( N, was );
        printf ( " as expected.\n" );
    }
}   /* end TestNValue */

//****************************************************************
//  Reports on status/value returns
//****************************************************************
void ErrTestReport ( void ) {
    if ( Terr )
        printf ( "%s test of error checks failed %i times.\n",
                funcName, Terr );
    else if ( verbose )
        printf ( "%s test of error checks passed.\n",
                funcName );
}  /* end ErrTestReport */

void ValueTestReport ( void ) {
    if ( Terr )
        printf ( "%s test of return values failed %i times.\n",
                funcName, Terr );
    else
        printf ( "%s test of return values passed.\n", funcName );
}  /* end ValueTestReport */

//****************************************************************
//  Verify the size of hash as a command line option argument
//    and return the index in funcmap[], -1 if not found.
//****************************************************************
int find_selected(const char *optarg) {
    int argval, count;

    count = sscanf ( optarg, "%i", &argval );
    if ( count > 0 ) {
      int i;
        for ( i = 0; funcmap[i].length; ++i ) {
            if ( funcmap[i].length == argval ) {
                return i;
            }  /* end if */
        }  /* end for */
    }
    return FNVnone;
}   /* end find_selected */

//****************************************************************
//  Print some bytes as hexadecimal
//****************************************************************
void HexPrint( int count, const uint8_t *ptr ) {
    for ( int i = 0; i < count; ++i )
        printf ( "%02X", ptr[i] );
}   /* end HexPrint */

//****************************************************************
//  Test all sizes
//****************************************************************
void TestAll ( void ) {
    for ( int i=0; funcmap[i].length; ++i )
        funcmap[i].Testfunc ();
}   /* end TestAll */

//****************************************************************
//  Common error check tests
//****************************************************************
void CommonTest ( void ) {
    TestR ( "string1b", fnvNull,
        funcmap[selected].Stringfunc ( (char *)0, hash ) );
    TestR ( "string2b", fnvNull,
        funcmap[selected].Stringfunc ( errteststring,
                                      (uint8_t *)0 ) );
    TestR ( "strBasis1b", fnvNull,
           funcmap[selected].StringBasisfunc ( (char *)0,
               hash, FakeBasis ) );
    TestR ( "strBasis2b", fnvNull,
           funcmap[selected].StringBasisfunc ( errteststring,
               (uint8_t *)0, FakeBasis ) );
    TestR ( "strBasis3b", fnvNull,
           funcmap[selected].StringBasisfunc ( errteststring,
               hash, (uint8_t *)0 ) );
    TestR ( "blk1", fnvNull,
        funcmap[selected].Blockfunc ( (uint8_t *)0, 1, hash ) );
    TestR ( "blk2", fnvBadParam,
        funcmap[selected].Blockfunc ( errtestbytes, -1, hash ) );
    TestR ( "blk3", fnvNull,
        funcmap[selected].Blockfunc ( errtestbytes, 1,
                                     (uint8_t *)0 ) );
    TestR ( "blk1b", fnvNull,
        funcmap[selected].BlockBasisfunc ( (uint8_t *)0, 1,
                                           hash, FakeBasis ) );
    TestR ( "blk2b", fnvBadParam,
        funcmap[selected].BlockBasisfunc ( errtestbytes, -1,
                                           hash, FakeBasis ) );
    TestR ( "blk3b", fnvNull,
        funcmap[selected].BlockBasisfunc ( errtestbytes, 1,
                                     (uint8_t *)0 , *)0, FakeBasis ) );
    TestR ( "blk4b", fnvNull,
        funcmap[selected].BlockBasisfunc ( errtestbytes, 1,
                                           hash, (uint8_t *)0 ) );
    TestR ( "file1", fnvNull,
        funcmap[selected].Filefunc ( (char *)0, hash ));
    TestR ( "file2", fnvNull,
        funcmap[selected].Filefunc ( "foo.txt", (uint8_t *)0 ));
    TestR ( "file1b", fnvNull,
        funcmap[selected].FileBasisfunc ( (char *)0, hash,
                                          FakeBasis ));
    TestR ( "file2b", fnvNull,
        funcmap[selected].FileBasisfunc ( "foo.txt", (uint8_t *)0,
                                          FakeBasis ));
    TestR ( "file3b", fnvNull,
        funcmap[selected].FileBasisfunc ( "foo.txt", hash,
                                         (uint8_t *)0 ));
}   /* end CommonTest */

//****************************************************************
//  Print command line help
//****************************************************************
void usage( const char *argv0 ) {
    printf (
        "%s [-a] [-t nnn] [-u nnn] [-v] [-f filename] [token ...]\n"
        "  -a = run all tests\n"
        "  -f filename = hash file contents\n"
        "  -h = help, print this message\n"
        "  -t nnn = Test hash size nnn\n"
        "  -u nnn = Use hash size nnn\n"
        "  -v = toggle Verbose flag\n"
        "  Each token is hashed.\n", argv0 );
}   /* end usage */

//****************************************************************
//  Test Macros
//****************************************************************

// test for return values
//************************
#define TestInit(INIT,CTX,CTXT)                               \
TestR ( "init1", fnvSuccess, INIT ( &CTX ) );                 \
TestR ( "init2", fnvNull, INIT ( (CTXT *)0 ) );

#define TestInitBasis(INITB,CTX,CTXT)                         \
TestR ( "initB1", fnvSuccess, INITB (&CTX, FakeBasis ));      \
TestR ( "initB2", fnvNull, INITB ( (CTXT *)0, hash ) );       \
TestR ( "initB3", fnvNull, INITB ( &CTX, (uint8_t *)0 ));

#define TestBlockin(BLKIN,CTX,CTXT)                           \
TestR ( "blockin1", fnvNull,                                  \
    BLKIN ( (CTXT *)0, errtestbytes, NTestBytes ) );          \
TestR ( "blockin2", fnvNull,                                  \
    BLKIN ( &CTX, (uint8_t *)0, NTestBytes ) );               \
TestR ( "blockin3", fnvBadParam,                              \
    BLKIN ( &CTX, errtestbytes, -1 ) );                       \
TestR ( "blockin4", fnvStateError,                            \
    BLKIN ( &CTX, errtestbytes, NTestBytes ) );

#define TestStringin(STRIN,CTX,CTXT)                          \
TestR ( "stringin1", fnvNull,                                 \
    STRIN ( (CTXT *)0, errteststring ) );                     \
TestR ( "stringin2", fnvNull, STRIN ( &CTX, (char *)0 ) );    \
TestR ( "stringin3", fnvStateError,                           \
    STRIN ( &CTX, errteststring ) );

#define TestFilein(FLIN,CTX,CTXT)                             \
TestR ( "file1", fnvNull, FLIN ( (CTXT *)0, errteststring ) );\
TestR ( "file2", fnvNull, FLIN ( &CTX, (char *)0 ) );         \
TestR ( "file3", fnvStateError,                               \
    FLIN ( &CTX, errteststring ) );

#define TestResult(RSLT,CTX,CTXT)                             \
TestR ( "result1", fnvNull, RSLT ( (CTXT *)0, hash ) );       \
TestR ( "result2", fnvNull, RSLT ( &CTX, (uint8_t *)0 ) );    \
TestR ( "result3", fnvStateError,                             \
            FNV128result ( &e128Context, hash ) );

// test return values for INT versions including non-std basis
//*************************************************************
#define TestINT(STRINT,STRINTB,BLKINT,BLKINTB,INITINTB,       \
                INTV,INTVT,ctxT)                              \
TestR ( "string1i", fnvNull, STRINT ( (char *)0, &INTV ) );   \
TestR ( "string2i", fnvNull,                                  \
        STRINT ( errteststring, (INTVT *)0 ) );               \
TestR ("string3i", fnvNull, STRINTB ((char *)0, &INTV, INTV));\
TestR ( "string4i", fnvNull,                                  \
        STRINTB (errteststring, (INTVT *)0, INTV));           \
TestR ("block1i", fnvNull, BLKINT ( (uint8_t *)0, 1, &INTV ));\
TestR ( "block2i", fnvBadParam,                               \
        BLKINT ( errtestbytes, -1, &INTV ) );                 \
TestR ( "block3i", fnvNull,                                   \
        BLKINT ( errtestbytes, 1, (INTVT *)0 ) );             \
TestR ( "block4i", fnvNull,                                   \
        BLKINTB ( (uint8_t *)0, 1, &INTV, INTV ) );           \
TestR ( "block5i", fnvBadParam,                               \
        BLKINTB ( errtestbytes, -1, &INTV, INTV ) );    \
TestR ( "block6i", fnvNull,                                   \
        BLKINTB ( errtestbytes, 1, (INTVT *)0, INTV ) );      \
TestR ("initBasis1i", fnvNull, INITINTB ( (ctxT *)0, INTV ));

#define TestINTrf(RSLTINT,FILEINT,FILEINTB,                   \
                  ctx,ctxT,INTV,INTVT)                        \
TestR ( "result1i", fnvNull, RSLTINT ( (ctxT *)0, &INTV ) );  \
TestR ( "result2i", fnvNull, RSLTINT ( &ctx, (INTVT *)0 ) );  \
TestR ( "result3i", fnvStateError, RSLTINT ( &ctx, &INTV ) );\ ); \
TestR ( "file1i", fnvNull, FILEINT ( (char *)0, &INTV ));     \
TestR ( "file2i", fnvNull, FILEINT ( "foo.txt", (INTVT *)0 ));\
TestR ("file3i", fnvNull, FILEINTB ( (char *)0, &INTV, INTV));\
TestR ( "file4i", fnvNull,                                    \
        FILEINTB ( "foo.txt", (INTVT *)0, INTV ));

// test to calculate standard basis from basis zero FNV-1
// depends on zero basis making the initial multiply a no-op
//*****************************
#define BasisZero(STRING,SIZ,VALUE)                           \
err = TestR ( "fnv0s", fnvSuccess,                            \
              STRING ( BasisString, hash, ZeroBasis ) );      \
if ( err == fnvSuccess ) {                                    \
    hash[SIZ-1] ^= '\\';                                      \
    TestNValue ("fnv0sv", BasisString, SIZ, hash, VALUE[0]);  \
}
#define BasisINTZero(STRINT,SIZ,VALUE,INTV,INTVT)             \
err = TestR ( "fnv0s", fnvSuccess,                            \
              STRINT ( BasisString, &INTV, (INTVT) 0 ) );     \
if ( err == fnvSuccess ) {                                    \
    INTV ^= '\\';                                             \
    TestNValue ("fnv0svi", BasisString, SIZ,                  \
                (uint8_t *)&INTV, (uint8_t *)&VALUE[0]);      \
}

// test for return hash values
//*****************************
#define TestSTRBLKHash(STR,BLK,SVAL,BVAL,SZ)                  \
if ( TestR ( "stringa", fnvSuccess,                           \
             STR ( teststring[i], hash ) ) )                  \
    printf ( "  Index = %i\n", i );                           \
else                                                          \
    TestNValue ( "stringb", teststring[i], SZ,                \
                 hash, (uint8_t *)&SVAL[i] );                 \
if ( TestR ( "blocka", fnvSuccess, BLK ( teststring[i],       \
             (long int)(strlen(teststring[i])+1), hash ) ) )  \
    printf ( "  Index = %i\n", i );                           \
else                                                          \
    TestNValue ( "blockb", teststring[i], SZ,                 \
                 hash, (uint8_t *)&BVAL[i] );

// Test incremental functions
//****************************
#define IncrHash(INIT,CTX,BLK,RSLT,INITB,STR,SZ,SVAL)         \
err = TestR ( "inita", fnvSuccess, INIT ( &CTX ) );           \
if ( err ) break;                                             \
iLen = strlen ( teststring[i] );                              \
err = TestR ("blockina", fnvSuccess,                          \
             BLK ( &CTX, (uint8_t *)teststring[i], iLen/2 )); \
if ( err ) break;                                             \
if ( i & 1 ) {                                                \
    err = TestR ("basisra", fnvSuccess, RSLT ( &CTX, hash )); \
    if ( err ) break;                                         \
    err = TestR ("basisia", fnvSuccess, INITB ( &CTX, hash ));\
    if ( err ) break;                                         \
}                                                             \
err = TestR ( "stringina", fnvSuccess, STR ( &CTX,            \
              teststring[i] + iLen/2 ) );                     \
if ( err ) break;                                             \
err = TestR ( "resulta", fnvSuccess, RSLT ( &CTX, hash ) );   \
if ( err ) break;                                             \
TestNValue ( "incrementala", teststring[i], SZ,               \
             hash, (uint8_t *)&SVAL[i] );

// test file hash
//*****************************
#define TestFILEHash(FILE,BVAL,SZ)                            \
err = TestR ( "fileafh", fnvSuccess,                          \
               FILE ( WriteTemp(teststring[i], iLen),         \
                      hash ) );                               \
if ( err ) break;                                             \
TestNValue ( "filebfh", teststring[i], SZ, hash,              \
             (uint8_t *)&BVAL[i] );

//****************************************************************
//  FNV32 Test
//****************************************************************
void Test32 ( void ) {
    long int iLen;
    uint32_t FNV32svalues[NTstrings] = {
        0x811c9dc5, 0xe40c292c, 0xbf9cf968, 0xfd9d3881 };
    uint32_t FNV32bvalues[NTstrings] = {
        0x050c5d1f, 0x2b24d044, 0x0c1c9eb8, 0xbf7ff313 };
    int i, err;
    uint8_t FNV32basisT[FNV32size] = {0xC5, 0x9D, 0x1C, 0x81 };

    funcName = "FNV-32";
    selected = FNV32selected;
/* test error checks */
    Terr = 0;
    TestInit (FNV32init, e32Context, FNV32context)
    TestInitBasis (FNV32initBasis, e32Context, FNV32context)
    CommonTest();
    TestINT (FNV32INTstring, FNV32INTstringBasis, FNV32INTblock,
             FNV32INTblockBasis, FNV32INTinitBasis, eUint32,
             uint32_t, FNV32context)
    e32Context.Computed = FNVclobber+FNV32state;
    TestBlockin (FNV32blockin, e32Context, FNV32context)
    TestStringin (FNV32stringin, e32Context, FNV32context)
    TestFilein (FNV32filein, e32Context, FNV32context)
    TestResult (FNV32result, e32Context, FNV32context)
    TestINTrf(FNV32INTresult,FNV32INTfile,FNV32INTfileBasis,
              e32Context,FNV32context,eUint32,uint32_t)
    ErrTestReport ();
    Terr = 0;
    err = TestR ( "fnv0s", fnvSuccess,
                  FNV32stringBasis ( BasisString, hash, ZeroBasis ));
    if ( err == fnvSuccess ) {
        hash[0] ^= '\\';
        TestNValue ( "fnv0sv32", BasisString, FNV32size,
                     hash, (uint8_t *)&FNV32svalues[0]);
    }
    BasisINTZero (FNV32INTstringBasis,FNV32size,FNV32svalues, \
                  eUint32,uint32_t)
    for ( i = 0; i < NTstrings; ++i ) {
/* test actual results int */
        err = TestR ( "stringai", fnvSuccess,
                      FNV32INTstring ( teststring[i], &eUint32 ) );
        if ( err == fnvSuccess )
            TestNValue ( "stringbi", teststring[i], FNV32size,
                         (uint8_t *)&eUint32,
                         (uint8_t *)&FNV32svalues[i] );
        err = TestR ( "blockai", fnvSuccess,
                      FNV32INTblock ( (uint8_t *)teststring[i],
                           (unsigned long)(strlen(teststring[i])+1),
                           &eUint32 ) );
        if ( err == fnvSuccess )
            TestNValue ( "blockbi", teststring[i], FNV32size,
                         (uint8_t *)&eUint32,
                         (uint8_t *)&FNV32bvalues[i] );
/* test actual results byte */
        TestSTRBLKHash ( FNV32string, FNV32block, FNV32svalues,
                         FNV32bvalues, FNV32size )
/* now try testing the incremental stuff */
        IncrHash (FNV32init, e32Context, FNV32blockin, FNV32result,
            FNV32initBasis, FNV32stringin, FNV32size, FNV32svalues)
/* now try testing the incremental stuff int */
        err = TestR ( "initai", fnvSuccess,
                     FNV32init (&e32Context) );
        if ( err ) break;
        iLen = strlen ( teststring[i] );
        err = TestR ( "blockinai", fnvSuccess,
                     FNV32blockin ( &e32Context,
                                   (uint8_t *)teststring[i],
                                   iLen/2 ) );
        if ( err ) break;
        err = TestR ( "stringinai", fnvSuccess,
                     FNV32stringin ( &e32Context,
                                    teststring[i] + iLen/2 ) );
        if ( err ) break;
        err = TestR ( "resultai", fnvSuccess,
                     FNV32INTresult ( &e32Context, &eUint32 ) );
        if ( err ) break;
        TestNValue ( "incrementalai", teststring[i], FNV32size,
                    (uint8_t *)&eUint32,
                    (uint8_t *)&FNV32svalues[i] );
/* now try testing the incremental stuff byte basis */
        err = TestR ( "initab", fnvSuccess,
                     FNV32initBasis (&e32Context,
                                     (uint8_t *)&FNV32basisT) );
        if ( err ) break;
        iLen = strlen ( teststring[i] );
        err = TestR ( "blockinab", fnvSuccess,
                     FNV32blockin ( &e32Context,
                                   (uint8_t *)teststring[i],
                                   iLen/2 ) );
        if ( err ) break;
        err = TestR ( "stringinab", fnvSuccess,
                     FNV32stringin ( &e32Context,
                                    teststring[i] + iLen/2 ) );
        if ( err ) break;
        err = TestR ( "resultab", fnvSuccess,
                     FNV32result ( &e32Context, hash ) );
        if ( err ) break;
        TestNValue ( "incrementala", teststring[i], FNV32size,
                    hash, (uint8_t *)&FNV32svalues[i] );
/* now try testing file hash int */
        err = TestR ( "fileafi", fnvSuccess,
                      FNV32INTfile (
                                    WriteTemp(teststring[i], iLen),
                                    &eUint32 )
                      );
        if ( err ) break;
        TestNValue ( "filebfi", teststring[i], FNV32size,
                         (uint8_t *)&eUint32,
                         (uint8_t *)&FNV32svalues[i] );

/* now try testing file hash byte */
        TestFILEHash ( FNV32file, FNV32svalues, FNV32size )
    }   // end for i
    ValueTestReport ();
}    /* end Test32 */

#ifdef FNV_64bitIntegers
//****************************************************************
//  Code for testing FNV64 using 64-bit integers
//****************************************************************
void Test64 ( void ) { /* with 64-bit integers */
    long int iLen;
    uint64_t FNV64basisT = FNV64basis;
    uint64_t FNV64svalues[NTstrings] = {
        0xcbf29ce484222325, 0xaf63dc4c8601ec8c, 0x85944171f73967e8,
        0xbd51ea7094ee6fa1 };
    uint64_t FNV64bvalues[NTstrings] = {
        0xaf63bd4c8601b7df, 0x089be207b544f1e4, 0x34531ca7168b8f38,
        0xa0a0fe4d1127ae93 };
    int i, err;

    funcName = "FNV-64";
    selected = FNV64selected;
/* test error checks */
    Terr = 0;
    TestInit (FNV64init, e64Context, FNV64context)
    TestInitBasis (FNV64initBasis, e64Context, FNV64context)
    CommonTest();
    TestINT(FNV64INTstring,FNV64INTstringBasis,FNV64INTblock,
            FNV64INTblockBasis,FNV64INTinitBasis,
            eUint64,uint64_t,FNV64context)
    e64Context.Computed = FNVclobber+FNV64state;
    TestBlockin (FNV64blockin, e64Context, FNV64context)
    TestStringin (FNV64stringin, e64Context, FNV64context)
    TestFilein (FNV64filein, e64Context, FNV64context)
    TestResult (FNV64result, e64Context, FNV64context)
    TestINTrf(FNV64INTresult,FNV64INTfile,FNV64INTfileBasis,
              e64Context,FNV64context,eUint64,uint64_t)
    ErrTestReport ();
/* test actual results int */
    Terr = 0;
    err = TestR ( "fnv0s", fnvSuccess,
                  FNV64stringBasis ( BasisString, hash, ZeroBasis ));
    if ( err == fnvSuccess ) {
        hash[0] ^= '\\';
        TestNValue ( "fnv0sv64", BasisString, FNV64size,
                     hash, (uint8_t *)&FNV64svalues[0]);
    }
    BasisINTZero (FNV64INTstringBasis,FNV64size,FNV64svalues, \
                  eUint64,uint64_t)
    for ( i = 0; i < NTstrings; ++i ) {
/* test actual results int */
        err = TestR ( "stringai", fnvSuccess,
                      FNV64INTstring ( teststring[i], &eUint64 ) );
        if ( err == fnvSuccess )
            TestNValue ( "stringbi", teststring[i], FNV64size,
                         (uint8_t *)&eUint64,
                         (uint8_t *)&FNV64svalues[i] );
        err = TestR ( "blockai", fnvSuccess,
                  FNV64INTblock ( (uint8_t *)teststring[i],
                       (unsigned long)(strlen(teststring[i])+1),
                                  &eUint64 ) );
        if ( err == fnvSuccess )
            TestNValue ( "blockbi", teststring[i], FNV64size,
                         (uint8_t *)&eUint64,
                         (uint8_t *)&FNV64bvalues[i] );
/* test actual results byte */
        TestSTRBLKHash ( FNV64string, FNV64block, FNV64svalues,
                         FNV64bvalues, FNV64size )
/* now try testing the incremental stuff */
        IncrHash (FNV64init, e64Context, FNV64blockin, FNV64result,
            FNV64initBasis, FNV64stringin, FNV64size, FNV64svalues)
/* now try testing the incremental stuff int */
        err = TestR ( "initai", fnvSuccess,
                     FNV64init (&e64Context) );
        if ( err ) break;
        iLen = strlen ( teststring[i] );
        err = TestR ( "blockinai", fnvSuccess,
                     FNV64blockin ( &e64Context,
                                   (uint8_t *)teststring[i],
                                   iLen/2 ) );
        if ( err ) break;
        err = TestR ( "stringinai", fnvSuccess,
                     FNV64stringin ( &e64Context,
                                    teststring[i] + iLen/2 ) );
        if ( err ) break;
        err = TestR ( "resultai", fnvSuccess,
                     FNV64INTresult ( &e64Context, &eUint64 ) );
        if ( err ) break;
        TestNValue ( "incrementalai", teststring[i], FNV64size,
                    (uint8_t *)&eUint64,
                    (uint8_t *)&FNV64svalues[i] );
/* now try testing the incremental stuff byte basis */
        err = TestR ( "initab", fnvSuccess,
                     FNV64initBasis (&e64Context,
                                     (uint8_t *)&FNV64basisT) );
        if ( err ) break;
        iLen = strlen ( teststring[i] );
        err = TestR ( "blockinab", fnvSuccess,
                     FNV64blockin ( &e64Context,
                                   (uint8_t *)teststring[i],
                                   iLen/2 ) );
        if ( err ) break;
        err = TestR ( "stringinab", fnvSuccess,
                     FNV64stringin ( &e64Context,
                                    teststring[i] + iLen/2 ) );
        if ( err ) break;
        err = TestR ( "resultab", fnvSuccess,
                     FNV64result ( &e64Context, hash ) );
        if ( err ) break;
        TestNValue ( "incrementala", teststring[i], FNV64size,
                    hash, (uint8_t *)&FNV64svalues[i] );
/* now try testing file int */
        err = TestR ( "fileafi", fnvSuccess,
                      FNV64INTfile (
                                    WriteTemp(teststring[i], iLen),
                                    &eUint64 )
                      );
        if ( err ) break;
        TestNValue ( "filebfi", teststring[i], FNV64size,
                         (uint8_t *)&eUint64,
                         (uint8_t *)&FNV64svalues[i] );
/* now try testing file hash */
        TestFILEHash(FNV64file,FNV64svalues,FNV64size)
    }
    ValueTestReport ();
}   /* end Test64 */

#else

//****************************************************************
//  Code for testing FNV64 without 64-bit integers
//****************************************************************
void Test64 ( void ) { /* without 64-bit integers */
    int i, err;
    long int iLen;
    uint8_t FNV64svalues[NTstrings][FNV64size] = {
        { 0xcb, 0xf2, 0x9c, 0xe4, 0x84, 0x22, 0x23, 0x25 },
        { 0xaf, 0x63, 0xdc, 0x4c, 0x86, 0x01, 0xec, 0x8c },
        { 0x85, 0x94, 0x41, 0x71, 0xf7, 0x39, 0x67, 0xe8 },
        { 0xbd, 0x51, 0xea, 0x70, 0x94, 0xee, 0x6f, 0xa1 } };
    uint8_t FNV64bvalues[NTstrings][FNV64size] = {
        { 0xaf, 0x63, 0xbd, 0x4c, 0x86, 0x01, 0xb7, 0xdf },
        { 0x08, 0x9b, 0xe2, 0x07, 0xb5, 0x44, 0xf1, 0xe4 },
        { 0x34, 0x53, 0x1c, 0xa7, 0x16, 0x8b, 0x8f, 0x38 },
        { 0xa0, 0xa0, 0xfe, 0x4d, 0x11, 0x27, 0xae, 0x93 } };

    funcName = "FNV-64";
    selected = FNV64selected;
/* test error checks */
    Terr = 0;
    TestR ( "init1", fnvSuccess, FNV64init (&e64Context) );
    CommonTest();
    TestInit (FNV64init, e64Context, FNV64context)
    TestInitBasis (FNV64initBasis, e64Context, FNV64context)
    e64Context.Computed = FNVclobber+FNV64state;
    TestBlockin (FNV64blockin, e64Context, FNV64context)
    TestStringin (FNV64stringin, e64Context, FNV64context)
    TestFilein (FNV64filein, e64Context, FNV64context)
    TestResult (FNV64result, e64Context, FNV64context)
    ErrTestReport ();
/* test actual results */
    Terr = 0;
    BasisZero(FNV64stringBasis,FNV64size,FNV64svalues)
    for ( i = 0; i < NTstrings; ++i ) {
        TestSTRBLKHash ( FNV64string, FNV64block,
                         FNV64svalues, FNV64bvalues, FNV64size )
/* try testing the incremental stuff */
        IncrHash(FNV64init,e64Context,FNV64blockin,FNV64result,
            FNV64initBasis,FNV64stringin,FNV64size,FNV64svalues)
/* now try testing file hash */
        TestFILEHash(FNV64file,FNV64svalues,FNV64size)
    }
    ValueTestReport ();
}   /* end Test64 */
#endif /* FNV_64bitIntegers */

//****************************************************************
//  Code for testing FNV128
//****************************************************************
void Test128 ( void ) {
    int i, err;
    long int iLen;
    uint8_t FNV128svalues[NTstrings][FNV128size] = {
        { 0x6c, 0x62, 0x27, 0x2e, 0x07, 0xbb, 0x01, 0x42,
          0x62, 0xb8, 0x21, 0x75, 0x62, 0x95, 0xc5, 0x8d },
        { 0xd2, 0x28, 0xcb, 0x69, 0x6f, 0x1a, 0x8c, 0xaf,
          0x78, 0x91, 0x2b, 0x70, 0x4e, 0x4a, 0x89, 0x64 },
        { 0x34, 0x3e, 0x16, 0x62, 0x79, 0x3c, 0x64, 0xbf,
          0x6f, 0x0d, 0x35, 0x97, 0xba, 0x44, 0x6f, 0x18 },
        { 0x74, 0x20, 0x2c, 0x60, 0x0b, 0x05, 0x1c, 0x16,
          0x5b, 0x1a, 0xca, 0xfe, 0xd1, 0x0d, 0x14, 0x19 } };
    uint8_t FNV128bvalues[NTstrings][FNV128size] = {
        { 0xd2, 0x28, 0xcb, 0x69, 0x10, 0x1a, 0x8c, 0xaf,
          0x78, 0x91, 0x2b, 0x70, 0x4e, 0x4a, 0x14, 0x7f },
        { 0x08, 0x80, 0x95, 0x45, 0x19, 0xab, 0x1b, 0xe9,
          0x5a, 0xa0, 0x73, 0x30, 0x55, 0xb7, 0x0e, 0x0c },
        { 0xe0, 0x1f, 0xcf, 0x9a, 0x45, 0x4f, 0xf7, 0x8d,
          0xa5, 0x40, 0xf1, 0xb2, 0x32, 0x34, 0xb2, 0x88 },
        { 0xe2, 0x67, 0xa7, 0x41, 0xa8, 0x49, 0x8f, 0x82,
          0x19, 0xf7, 0xc7, 0x8b, 0x3b, 0x17, 0xba, 0xc3 } };

    funcName = "FNV-128";
    selected = FNV128selected;
/* test error checks */
    Terr = 0;
    TestInit (FNV128init, e128Context, FNV128context)
    TestInitBasis (FNV128initBasis, e128Context, FNV128context)
    CommonTest();
    e128Context.Computed = FNVclobber+FNV128state;
    TestBlockin (FNV128blockin, e128Context, FNV128context)
    TestStringin (FNV128stringin, e128Context, FNV128context)
    TestFilein (FNV128filein, e128Context, FNV128context)
    TestResult (FNV128result, e128Context, FNV128context)
    ErrTestReport ();
/* test actual results */
    Terr = 0;
    BasisZero(FNV128stringBasis,FNV128size,FNV128svalues)
    for ( i = 0; i < NTstrings; ++i ) {
        TestSTRBLKHash ( FNV128string, FNV128block,
                         FNV128svalues, FNV128bvalues, FNV128size )
/* try testing the incremental stuff */
        IncrHash(FNV128init,e128Context,FNV128blockin,FNV128result,
            FNV128initBasis,FNV128stringin,FNV128size,FNV128svalues)
/* now try testing file hash */
    TestFILEHash(FNV128file,FNV128svalues,FNV128size)
    }
    ValueTestReport ();
}    /* end Test128 */

//****************************************************************
//  Code for testing FNV256
//****************************************************************
void Test256 ( void ) {
    int i, err;
    long int iLen;
    uint8_t FNV256svalues[NTstrings][FNV256size] = {
        { 0xdd, 0x26, 0x8d, 0xbc, 0xaa, 0xc5, 0x50, 0x36,
          0x2d, 0x98, 0xc3, 0x84, 0xc4, 0xe5, 0x76, 0xcc,
          0xc8, 0xb1, 0x53, 0x68, 0x47, 0xb6, 0xbb, 0xb3,
          0x10, 0x23, 0xb4, 0xc8, 0xca, 0xee, 0x05, 0x35 },
        { 0x63, 0x32, 0x3f, 0xb0, 0xf3, 0x53, 0x03, 0xec,
          0x28, 0xdc, 0x75, 0x1d, 0x0a, 0x33, 0xbd, 0xfa,
          0x4d, 0xe6, 0xa9, 0x9b, 0x72, 0x66, 0x49, 0x4f,
          0x61, 0x83, 0xb2, 0x71, 0x68, 0x11, 0x63, 0x7c },
        { 0xb0, 0x55, 0xea, 0x2f, 0x30, 0x6c, 0xad, 0xad,
          0x4f, 0x0f, 0x81, 0xc0, 0x2d, 0x38, 0x89, 0xdc,
          0x32, 0x45, 0x3d, 0xad, 0x5a, 0xe3, 0x5b, 0x75,
          0x3b, 0xa1, 0xa9, 0x10, 0x84, 0xaf, 0x34, 0x28 },
        { 0x0c, 0x5a, 0x44, 0x40, 0x2c, 0x65, 0x38, 0xcf,
          0x98, 0xef, 0x20, 0xc4, 0x03, 0xa8, 0x0f, 0x65,
          0x9b, 0x80, 0xc9, 0xa5, 0xb0, 0x1a, 0x6a, 0x87,
          0x34, 0x2e, 0x26, 0x72, 0x64, 0x45, 0x67, 0xb1 } };
    uint8_t FNV256bvalues[NTstrings][FNV256size] = {
        { 0x63, 0x32, 0x3f, 0xb0, 0xf3, 0x53, 0x03, 0xec,
          0x28, 0xdc, 0x56, 0x1d, 0x0a, 0x33, 0xbd, 0xfa,
          0x4d, 0xe6, 0xa9, 0x9b, 0x72, 0x66, 0x49, 0x4f,
          0x61, 0x83, 0xb2, 0x71, 0x68, 0x11, 0x38, 0x7f },
        { 0xf4, 0xf7, 0xa1, 0xc2, 0xef, 0xd0, 0xe1, 0xe4,
          0xbb, 0x19, 0xe3, 0x45, 0x25, 0xc0, 0x72, 0x1a,
          0x06, 0xdd, 0x32, 0x8f, 0xa3, 0xd7, 0xa9, 0x14,
          0x39, 0xa0, 0x73, 0x43, 0x50, 0x1c, 0xf4, 0xf4 },
        { 0x6a, 0x7f, 0x34, 0xab, 0xc8, 0x5d, 0xe7, 0xd9,
          0x51, 0xb5, 0x15, 0x7e, 0xb5, 0x67, 0x2c, 0x59,
          0xb6, 0x04, 0x87, 0x65, 0x09, 0x47, 0xd3, 0x91,
          0xb1, 0x2d, 0x71, 0xe7, 0xfe, 0xf5, 0x53, 0x78 },
        { 0x3b, 0x97, 0x2c, 0x31, 0xbe, 0x84, 0x3a, 0x45,
          0x59, 0x02, 0x20, 0xd1, 0x12, 0x0d, 0x59, 0xe6,
          0xa3, 0x97, 0xa0, 0xc3, 0x34, 0xa1, 0xb9, 0x7d,
          0x5b, 0xff, 0x50, 0xa1, 0x0c, 0x3e, 0xca, 0x73 } };

    funcName = "FNV-256";
    selected = FNV256selected;
/* test error checks */
    Terr = 0;
    TestInit (FNV256init, e256Context, FNV256context)
    TestInitBasis (FNV256initBasis, e256Context, FNV256context)
    CommonTest();
    e256Context.Computed = FNVclobber+FNV256state;
    TestBlockin (FNV256blockin, e256Context, FNV256context)
    TestStringin (FNV256stringin, e256Context, FNV256context)
    TestFilein (FNV256filein, e256Context, FNV256context)
    TestResult (FNV256result, e256Context, FNV256context)
    ErrTestReport ();
/* test actual results */
    Terr = 0;
    BasisZero(FNV256stringBasis,FNV256size,FNV256svalues)
    for ( i = 0; i < NTstrings; ++i ) {
        TestSTRBLKHash ( FNV256string, FNV256block,
                         FNV256svalues, FNV256bvalues, FNV256size )
/* try testing the incremental stuff */
        IncrHash(FNV256init,e256Context,FNV256blockin,FNV256result,
            FNV256initBasis,FNV256stringin,FNV256size,FNV256svalues)
/* now try testing file hash */
        TestFILEHash(FNV256file,FNV256svalues,FNV256size)
   }
    ValueTestReport ();
}    /* end Test256 */

//****************************************************************
//  Code for testing FNV512
//****************************************************************
void Test512 ( void ) {
    int i, err;
    long int iLen;
    uint8_t FNV512svalues[NTstrings][FNV512size] = {
        { 0xb8, 0x6d, 0xb0, 0xb1, 0x17, 0x1f, 0x44, 0x16,
          0xdc, 0xa1, 0xe5, 0x0f, 0x30, 0x99, 0x90, 0xac,
          0xac, 0x87, 0xd0, 0x59, 0xc9, 0x00, 0x00, 0x00,
          0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0d, 0x21,
          0xe9, 0x48, 0xf6, 0x8a, 0x34, 0xc1, 0x92, 0xf6,
          0x2e, 0xa7, 0x9b, 0xc9, 0x42, 0xdb, 0xe7, 0xce,
          0x18, 0x20, 0x36, 0x41, 0x5f, 0x56, 0xe3, 0x4b,
          0xac, 0x98, 0x2a, 0xac, 0x4a, 0xfe, 0x9f, 0xd9 },
        { 0xe4, 0x3a, 0x99, 0x2d, 0xc8, 0xfc, 0x5a, 0xd7,
          0xde, 0x49, 0x3e, 0x3d, 0x69, 0x6d, 0x6f, 0x85,
          0xd6, 0x43, 0x26, 0xec, 0x07, 0x00, 0x00, 0x00,
          0x00, 0x00, 0x00, 0x00, 0x00, 0x11, 0x98, 0x6f,
          0x90, 0xc2, 0x53, 0x2c, 0xaf, 0x5b, 0xe7, 0xd8,
          0x82, 0x91, 0xba, 0xa8, 0x94, 0xa3, 0x95, 0x22,
          0x53, 0x28, 0xb1, 0x96, 0xbd, 0x6a, 0x8a, 0x64,
          0x3f, 0xe1, 0x2c, 0xd8, 0x7b, 0x27, 0xff, 0x88 },
        { 0xb0, 0xec, 0x73, 0x8d, 0x9c, 0x6f, 0xd9, 0x69,
          0xd0, 0x5f, 0x0b, 0x35, 0xf6, 0xc0, 0xed, 0x53,
          0xad, 0xca, 0xcc, 0xcd, 0x8e, 0x00, 0x00, 0x00,
          0x4b, 0xf9, 0x9f, 0x58, 0xee, 0x41, 0x96, 0xaf,
          0xb9, 0x70, 0x0e, 0x20, 0x11, 0x08, 0x30, 0xfe,
          0xa5, 0x39, 0x6b, 0x76, 0x28, 0x0e, 0x47, 0xfd,
          0x02, 0x2b, 0x6e, 0x81, 0x33, 0x1c, 0xa1, 0xa9,
          0xce, 0xd7, 0x29, 0xc3, 0x64, 0xbe, 0x77, 0x88 },
        { 0x4f, 0xdf, 0x00, 0xec, 0xb9, 0xbc, 0x04, 0xdd,
          0x19, 0x38, 0x61, 0x8f, 0xe5, 0xc4, 0xfb, 0xb8,
          0x80, 0xa8, 0x2b, 0x15, 0xf5, 0xb6, 0xbd, 0x72,
          0x1e, 0xc2, 0xea, 0xfe, 0x03, 0xc4, 0x62, 0x48,
          0xf7, 0xa6, 0xc2, 0x47, 0x89, 0x92, 0x80, 0xd6,
          0xd2, 0xf4, 0x2f, 0xf6, 0xb4, 0x7b, 0xf2, 0x20,
          0x79, 0xdf, 0xd4, 0xbf, 0xe8, 0x7b, 0xf0, 0xbb,
          0x4e, 0x71, 0xea, 0xcb, 0x1e, 0x28, 0x77, 0x35 } };
    uint8_t FNV512bvalues[NTstrings][FNV512size] = {
        { 0xe4, 0x3a, 0x99, 0x2d, 0xc8, 0xfc, 0x5a, 0xd7,
          0xde, 0x49, 0x3e, 0x3d, 0x69, 0x6d, 0x6f, 0x85,
          0xd6, 0x43, 0x26, 0xec, 0x28, 0x00, 0x00, 0x00,
          0x00, 0x00, 0x00, 0x00, 0x00, 0x11, 0x98, 0x6f,
          0x90, 0xc2, 0x53, 0x2c, 0xaf, 0x5b, 0xe7, 0xd8,
          0x82, 0x91, 0xba, 0xa8, 0x94, 0xa3, 0x95, 0x22,
          0x53, 0x28, 0xb1, 0x96, 0xbd, 0x6a, 0x8a, 0x64,
          0x3f, 0xe1, 0x2c, 0xd8, 0x7b, 0x28, 0x2b, 0xbf },
        { 0x73, 0x17, 0xdf, 0xed, 0x6c, 0x70, 0xdf, 0xec,
          0x6a, 0xdf, 0xce, 0xd2, 0xa5, 0xe0, 0x4d, 0x7e,
          0xec, 0x74, 0x4e, 0x3c, 0xe9, 0x00, 0x00, 0x00,
          0x00, 0x00, 0x00, 0x00, 0x17, 0x93, 0x3d, 0x7a,
          0xf4, 0x5d, 0x70, 0xde, 0xf4, 0x23, 0xa3, 0x16,
          0xf1, 0x41, 0x17, 0xdf, 0x27, 0x2c, 0xd0, 0xfd,
          0x6b, 0x85, 0xf0, 0xf7, 0xc9, 0xbf, 0x6c, 0x51,
          0x96, 0xb3, 0x16, 0x0d, 0x02, 0x97, 0x5f, 0x38 },
        { 0x82, 0xf6, 0xe1, 0x04, 0x96, 0xde, 0x78, 0x34,
          0xb0, 0x8b, 0x21, 0xef, 0x46, 0x4c, 0xd2, 0x47,
          0x9e, 0x1d, 0x25, 0xe0, 0xca, 0x00, 0x00, 0x65,
          0xcb, 0x74, 0x80, 0x27, 0x39, 0xe0, 0xe5, 0x71,
          0x75, 0x22, 0xec, 0xf6, 0xd1, 0xf9, 0xa5, 0x2f,
          0x5f, 0xee, 0xfb, 0x4f, 0xab, 0x22, 0x73, 0xfd,
          0xe8, 0x31, 0x0f, 0x1b, 0x7b, 0x5c, 0x9a, 0x84,
          0x22, 0x48, 0xf4, 0xcb, 0xfb, 0x32, 0x27, 0x38 },
        { 0xfa, 0x7e, 0xb9, 0x1e, 0xfb, 0x64, 0x64, 0x11,
          0x8a, 0x73, 0x33, 0xbd, 0x96, 0x3b, 0xb6, 0x1f,
          0x2c, 0x6f, 0xe2, 0xe3, 0x6c, 0xd7, 0xd3, 0xe7,
          0x37, 0x28, 0xda, 0x57, 0x0c, 0x1f, 0xaf, 0xc3,
          0xd0, 0x6e, 0x4d, 0xd9, 0x53, 0x4a, 0x9f, 0xd4,
          0xa5, 0x2c, 0x43, 0x8b, 0xd2, 0x11, 0x69, 0x83,
          0x4a, 0xe6, 0x0d, 0x20, 0x7e, 0x0f, 0x8a, 0xf6,
          0x1a, 0xa1, 0x96, 0x25, 0x68, 0x37, 0xb8, 0x03 } };

    funcName = "FNV-512";
    selected = FNV512selected;
/* test error checks */
    Terr = 0;
    TestInit (FNV512init, e512Context, FNV512context)
    TestInitBasis (FNV512initBasis, e512Context, FNV512context)
    CommonTest();
    e512Context.Computed = FNVclobber+FNV512state;
    TestBlockin (FNV512blockin, e512Context, FNV512context)
    TestStringin (FNV512stringin, e512Context, FNV512context)
    TestFilein (FNV512filein, e512Context, FNV512context)
    TestResult (FNV512result, e512Context, FNV512context)
    ErrTestReport ();
/* test actual results */
    Terr = 0;
    BasisZero(FNV512stringBasis,FNV512size,FNV512svalues)
    for ( i = 0; i < NTstrings; ++i ) {
        TestSTRBLKHash ( FNV512string, FNV512block,
                         FNV512svalues, FNV512bvalues, FNV512size )
/* try testing the incremental stuff */
        IncrHash(FNV512init,e512Context,FNV512blockin,FNV512result,
            FNV512initBasis,FNV512stringin,FNV512size,FNV512svalues)
/* now try testing file hash */
        TestFILEHash(FNV512file,FNV512svalues,FNV512size)
    }
    ValueTestReport ();
}    /* end Test512 */

//****************************************************************
//  Code for testing FNV1024
//****************************************************************
void Test1024 ( void ) {
    uint8_t FNV1024svalues[NTstrings][FNV1024size] = {
      { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x5f, 0x7a, 0x76, 0x75, 0x8e, 0xcc, 0x4d,
        0x32, 0xe5, 0x6d, 0x5a, 0x59, 0x10, 0x28, 0xb7,
        0x4b, 0x29, 0xfc, 0x42, 0x23, 0xfd, 0xad, 0xa1,
        0x6c, 0x3b, 0xf3, 0x4e, 0xda, 0x36, 0x74, 0xda,
        0x9a, 0x21, 0xd9, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0xc6, 0xd7,
        0xeb, 0x6e, 0x73, 0x80, 0x27, 0x34, 0x51, 0x0a,
        0x55, 0x5f, 0x25, 0x6c, 0xc0, 0x05, 0xae, 0x55,
        0x6b, 0xde, 0x8c, 0xc9, 0xc6, 0xa9, 0x3b, 0x21,
        0xaf, 0xf4, 0xb1, 0x6c, 0x71, 0xee, 0x90, 0xb3 },
      { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x98, 0xd7, 0xc1, 0x9f, 0xbc, 0xe6, 0x53, 0xdf,
        0x22, 0x1b, 0x9f, 0x71, 0x7d, 0x34, 0x90, 0xff,
        0x95, 0xca, 0x87, 0xfd, 0xae, 0xf3, 0x0d, 0x1b,
        0x82, 0x33, 0x72, 0xf8, 0x5b, 0x24, 0xa3, 0x72,
        0xf5, 0x0e, 0x57, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x07, 0x68, 0x5c, 0xd8,
        0x1a, 0x49, 0x1d, 0xbc, 0xcc, 0x21, 0xad, 0x06,
        0x64, 0x8d, 0x09, 0xa5, 0xc8, 0xcf, 0x5a, 0x78,
        0x48, 0x20, 0x54, 0xe9, 0x14, 0x70, 0xb3, 0x3d,
        0xde, 0x77, 0x25, 0x2c, 0xae, 0xf6, 0x95, 0xaa },
      { 0x00, 0x00, 0x06, 0x31, 0x17, 0x5f, 0xa7, 0xae,
        0x64, 0x3a, 0xd0, 0x87, 0x23, 0xd3, 0x12, 0xc9,
        0xfd, 0x02, 0x4a, 0xdb, 0x91, 0xf7, 0x7f, 0x6b,
        0x19, 0x58, 0x71, 0x97, 0xa2, 0x2b, 0xcd, 0xf2,
        0x37, 0x27, 0x16, 0x6c, 0x45, 0x72, 0xd0, 0xb9,
        0x85, 0xd5, 0xae, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x42,
        0x70, 0xd1, 0x1e, 0xf4, 0x18, 0xef, 0x08, 0xb8,
        0xa4, 0x9e, 0x1e, 0x82, 0x5e, 0x54, 0x7e, 0xb3,
        0x99, 0x37, 0xf8, 0x19, 0x22, 0x2f, 0x3b, 0x7f,
        0xc9, 0x2a, 0x0e, 0x47, 0x07, 0x90, 0x08, 0x88,
        0x84, 0x7a, 0x55, 0x4b, 0xac, 0xec, 0x98, 0xb0 },
      { 0xf6, 0xf7, 0x47, 0xaf, 0x25, 0xa9, 0xde, 0x26,
        0xe8, 0xa4, 0x93, 0x43, 0x1e, 0x31, 0xb4, 0xa1,
        0xed, 0x2a, 0x92, 0x30, 0x4a, 0xf6, 0xca, 0x97,
        0x6b, 0xc1, 0xd9, 0x6f, 0xfc, 0xad, 0x35, 0x24,
        0x4e, 0x8d, 0x38, 0x5d, 0x55, 0xf4, 0x2f, 0xdc,
        0xc8, 0xf2, 0x99, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0xf7, 0xca, 0x87, 0xce,
        0x43, 0x22, 0x7b, 0x98, 0xc1, 0x44, 0x60, 0x7e,
        0x67, 0xcc, 0x50, 0xaf, 0x99, 0xbc, 0xc5, 0xd1,
        0x51, 0x4b, 0xb0, 0xd9, 0x23, 0xee, 0xde, 0xdd,
        0x69, 0xe8, 0xe7, 0x47, 0x02, 0x05, 0x08, 0x3a,
        0x0c, 0x02, 0x27, 0xd0, 0xcc, 0x69, 0xde, 0x23 } };
    uint8_t FNV1024bvalues[NTstrings][FNV1024size] = {
      { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x98, 0xd7, 0xc1, 0x9f, 0xbc, 0xe6, 0x53, 0xdf,
        0x22, 0x1b, 0x9f, 0x71, 0x7d, 0x34, 0x90, 0xff,
        0x95, 0xca, 0x87, 0xfd, 0xae, 0xf3, 0x0d, 0x1b,
        0x82, 0x33, 0x72, 0xf8, 0x5b, 0x24, 0xa3, 0x72,
        0xf5, 0x0e, 0x38, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x07, 0x68, 0x5c, 0xd8,
        0x1a, 0x49, 0x1d, 0xbc, 0xcc, 0x21, 0xad, 0x06,
        0x64, 0x8d, 0x09, 0xa5, 0xc8, 0xcf, 0x5a, 0x78,
        0x48, 0x20, 0x54, 0xe9, 0x14, 0x70, 0xb3, 0x3d,
        0xde, 0x77, 0x25, 0x2c, 0xae, 0xf6, 0x65, 0x97 },
      { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf4,
        0x6e, 0xf4, 0x1c, 0xd2, 0x3a, 0x4d, 0xcd, 0xd4,
        0x06, 0x83, 0x49, 0x63, 0xb7, 0x8e, 0x82, 0x24,
        0x1a, 0x6f, 0x5c, 0xb0, 0x6f, 0x40, 0x3c, 0xbd,
        0x5a, 0x7c, 0x89, 0x03, 0xce, 0xf6, 0xa5, 0xf4,
        0xfd, 0xd2, 0x95, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x0b, 0x7c, 0xd7, 0xfb, 0x20,
        0xc3, 0x63, 0x1d, 0xc8, 0x90, 0x39, 0x52, 0xe9,
        0xee, 0xb7, 0xf6, 0x18, 0x69, 0x8f, 0x4c, 0x87,
        0xda, 0x23, 0xad, 0x74, 0xb2, 0xc5, 0xf6, 0xf1,
        0xfe, 0xc4, 0xa6, 0x4b, 0x54, 0x66, 0x18, 0xa2 },
      { 0x00, 0x09, 0xdc, 0x92, 0x10, 0x75, 0xfd, 0x8a,
        0x5e, 0x3e, 0x1a, 0x37, 0x2c, 0x72, 0xa5, 0x9b,
        0xb1, 0x0c, 0xca, 0x1a, 0x94, 0xc8, 0xb2, 0x38,
        0x7d, 0x63, 0xa7, 0xef, 0xa7, 0xfc, 0xa7, 0xa7,
        0x17, 0xa6, 0x4e, 0x6c, 0x2d, 0x62, 0xfb, 0x61,
        0x78, 0xf7, 0x86, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x67, 0x08,
        0xf4, 0x4d, 0x00, 0x8a, 0xaa, 0xb0, 0x86, 0x57,
        0x49, 0x35, 0x50, 0x2c, 0x49, 0x08, 0x7c, 0x84,
        0x9b, 0xcb, 0xbe, 0xfa, 0x03, 0x3f, 0x45, 0x2a,
        0xf6, 0x38, 0x24, 0x26, 0xba, 0x5d, 0x3b, 0xb5,
        0x71, 0xb6, 0x46, 0x5b, 0x2a, 0xe8, 0xc8, 0xf0 },
      { 0xc8, 0x01, 0xf8, 0xe0, 0x8a, 0xe9, 0x1b, 0x18,
        0x0b, 0x98, 0xdd, 0x7d, 0x9f, 0x65, 0xce, 0xb6,
        0x87, 0xca, 0x86, 0x35, 0x8c, 0x69, 0x05, 0xf6,
        0x0a, 0x7d, 0x10, 0x14, 0xc1, 0x82, 0xb0, 0x4f,
        0xd6, 0x08, 0xa2, 0xca, 0x4d, 0xd6, 0x0a, 0x30,
        0x0a, 0x15, 0x68, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x01, 0x80, 0x45, 0x14, 0x9a, 0xde,
        0x1c, 0x79, 0xab, 0xe3, 0xb7, 0x09, 0xa4, 0x06,
        0xf7, 0xd9, 0x20, 0x51, 0x69, 0xbe, 0xc5, 0x9b,
        0x12, 0x61, 0x40, 0xbc, 0xb9, 0x6f, 0x9d, 0x5d,
        0x3e, 0x2e, 0xa9, 0x1e, 0x21, 0xcd, 0xc2, 0x04,
        0x9f, 0x57, 0xbe, 0xcd, 0x00, 0x2d, 0x7c, 0x47 } };
    long int iLen;
    int i, err;

    funcName = "FNV-1024";
    selected = FNV1024selected;
    /* test error checks */
    Terr = 0;
    TestInit (FNV1024init, e1024Context, FNV1024context)
    TestInitBasis (FNV1024initBasis, e1024Context, FNV1024context)
    CommonTest();
    e1024Context.Computed = FNVclobber+FNV1024state;
    TestBlockin (FNV1024blockin, e1024Context, FNV1024context)
    TestStringin (FNV1024stringin, e1024Context, FNV1024context)
    TestFilein (FNV1024filein, e1024Context, FNV1024context)
    TestResult (FNV1024result, e1024Context, FNV1024context)
    ErrTestReport ();
/* test actual results */
    Terr = 0;
    BasisZero(FNV1024stringBasis,FNV1024size,FNV1024svalues)
    for ( i = 0; i < NTstrings; ++i ) {
        TestSTRBLKHash ( FNV1024string, FNV1024block,
                         FNV1024svalues, FNV1024bvalues,
                                     FNV1024size )
/* try testing the incremental stuff */
        IncrHash(FNV1024init,e1024Context,FNV1024blockin,
                 FNV1024result, FNV1024initBasis,
                 FNV1024stringin,FNV1024size,FNV1024svalues)
/* now try testing file hash */
        TestFILEHash(FNV1024file,FNV1024svalues,FNV1024size)
    }
    ValueTestReport ();
}    /* end Test1024 */
]]>
</sourcecode>

</section>

<section>

<!-- 8.4 [rfced] Section 8.3:

a) Should the two instances of "follow by" be "followed by"?  If no,
are they instructions and some words are missing (e.g.,
"follow the ______ by size of ...")?

We ask because of "case 'f':   // followed by name of file to hash"
a few lines earlier.

Original:
 case 't':   // follow by size of FNV to test, 0->all
...
 case 'u':   // follow by size of FNV to use

b) Should the spacing be adjusted here as suggested?

Original:
 FNV32INTfile (
               WriteTemp(teststring[i], iLen),
               &eUint32 )
 );
...
 FNV64INTfile (
                 WriteTemp(teststring[i], iLen),
                 &eUint64 )
 );

Suggested:
 FNV32INTfile ( WriteTemp(teststring[i], iLen),
                &eUint32 ) );
...
 FNV64INTfile ( WriteTemp(teststring[i], iLen),
                &eUint64 ) ); -->

</section>

<section anchor="sec-8.4">
  <name>Makefile</name>

  <t>Below is a simple makefile to produce and run the test program or
  to provide a library with all the FNV functions supplied in it.</t>

  <t>WARNING: When actually using the following as a makefile, the
  five character
  five-character sequence "&lt;TAB>" must be changed to a tab (0x09)
  character!</t>

  <sourcecode type="makefile" markers="true" name="makefile"> name="makefile"><![CDATA[
# Makefile for fnv
# If you extract this file from RFC NNNN, 9923, the five character five-character sequence
#     &lt;TAB>     <TAB> below must be replace replaced with a tab (0x09) character.

explanation:
&lt;TAB>@echo
<TAB>@echo Choose one of the following make targets:
&lt;TAB>@echo
<TAB>@echo make FNVhash -- test program
&lt;TAB>@echo
<TAB>@echo make libfnv.a -- library you can use
&lt;TAB>@echo
<TAB>@echo make clean -- removes all of the built targets

SRC=FNV1024.c FNV128.c FNV256.c FNV32.c FNV512.c FNV64.c
HDR=FNV32.h FNV64.h FNV128.h FNV256.h FNV512.h FNV1024.h \
&lt;TAB>FNVErrorCodes.h
<TAB>FNVErrorCodes.h FNVconfig.h fnv-private.h
OBJ=$(SRC:.c=.o)
CFLAGS=-Wall
AR=ar
ARFLAGS= rcs

FNVhash: libfnv.a main.c
&lt;TAB>$(CC)
<TAB>$(CC) $(CFLAGS) -o FNVhash main.c libfnv.a

libfnv.a: $(SRC) $(HDR)
&lt;TAB>rm
<TAB>rm -f libfnv.a *.o
&lt;TAB>$(CC)
<TAB>$(CC) $(CFLAGS) -c $(SRC)
&lt;TAB>$(AR)
<TAB>$(AR) $(ARFLAGS) libfnv.a $(OBJ)

clean:
&lt;TAB>rm
<TAB>rm -rf libfnv.a FNVhash *.o
</sourcecode>

</section>

</section>
]]></sourcecode>

<!-- 8. [rfced] Section 8.4:  Would you like to order the list of .c
files by FNV size (and by their placement in the body of the
document), as was done for the "HDR=" line?

We have the same question re. the list of .h files in the <TAB> line.

Original:
 SRC=FNV1024.c FNV128.c FNV256.c FNV32.c FNV512.c FNV64.c
...
 <TAB>FNVErrorCodes.h FNVconfig.h fnv-private.h

Possibly:
 SRC=FNV32.c FNV64.c FNV128.c FNV256.c FNV512.c FNV1024.c
...
 <TAB>FNVconfig.h FNVErrorCodes.h fnv-private.h -->

</section>

</section>

<section anchor="iana"> <!-- 9. -->
  <name>IANA Considerations</name>

<t>This document requires has no IANA Actions.</t> actions.</t>

</section> <!-- 9. -->

</middle>

<!-- ____________________BACK_MATTER____________________ -->

<back>
<displayreference target="I-D.ietf-bfd-secure-sequence-numbers" to="ISAAC-Auth"/>
<references>
  <name>References</name>
<references>
  <name>Normative References</name>
<reference anchor="C">
  <front>
    <title>The C Programming Language, 2nd Edition</title>
    <author fullname="Brian W. Kernighan" initials="B." initials="B. W."
	    surname="Kernighan">
      <organization>AT&amp;T Bell Laboratories</organization>
    </author>
    <author fullname="Denis fullname="Dennis M. Ritchie" initials="D." initials="D. M."
	    surname="Ritchie">
      <organization>AT&amp;T Bell Laboratories</organization>
    </author>
    <date year="1978"/> year="1988"/>
  </front>
 <seriesInfo name="ISBN-10" value="0-13-110362-8"/>
 <seriesInfo name="ISBN-13" value="978-0131103627"/>
</reference>

<xi:include
  href="https://www.rfc-editor.org/refs/bibxml/reference.RFC.0020.xml"/> href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.0020.xml"/>
<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.2119.xml"/>
<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.8174.xml"/>

</references>

<references>
  <name>Informative References</name>

<reference anchor="BASIC" target="http://www.isthe.com/chongo/tech/comp/fnv/index.html#PowerBASIC">
  <front>
    <title>FNV32 PowerBASIC in line inline x86 assembler</title>
    <author fullname="Wayne Diamond" initials="W."
            surname="Diamond"/>
  </front>
</reference>

<reference anchor="BFDseq"
           target="draft-ietf-bfd-secure-sequence-numbers-09.txt">
  <front>
    <title>Secure BFD Sequence Numbers</title>
    <author fullname="Mahesh Jethanandani" initials="M."
            surname="Jethanandani">
      <organization>Kloud Services</organization>
      <address>
        <email>mjethanandani@gmail.com</email>
      </address>
    </author>
    <author fullname="Sonal Agarwal" initials="S."
            surname="Agarwal">
      <organization>Cisco Systems, Inc</organization>
      <address>
         <email>agarwaso@cisco.com</email>
        <uri>www.cisco.com</uri>
      </address>
    </author>
    <author fullname="Ashesh Mishra" initials="A."
            surname="Mishra">
      <organization>O3b Networks</organization>
      <address>
        <email>mishra.ashesh@gmail.com</email>
      </address>
    </author>
    <author fullname="Ankur Saxena" initials="A."
            surname="Saxena">
      <organization>Ciena Corporation</organization>
      <address>
        <email>ankurpsaxena@gmail.com</email>
      </address>
    </author>
    <author fullname="Alan DeKok" initials="A."
            surname="DeKok">
      <organization>Network RADIUS SARL</organization>
      <address>
        <email>aland@freeradius.org</email>
      </address>
    </author>
    <date year="2022" month="March" day="22"/>
  </front>
</reference>

<!-- draft-ietf-bfd-secure-sequence-numbers (IESG Evaluation::AD Followup) -->
<xi:include href="https://bib.ietf.org/public/rfc/bibxml3/reference.I-D.ietf-bfd-secure-sequence-numbers.xml"/>

<reference anchor="calc" target="http://www.isthe.com/chongo/tech/comp/calc/index.html">
  <front>
    <title>Calc - C-style arbitrary precision calculator</title>
    <author fullname="David I. Bell" initials="D."
	    surname="Bell"/>
    <author fullname="Landon Curt Noll" initials="L."
            surname="Noll"/>
  </front>
</reference>

<!-- [rfced] References:  We do not see David Bell mentioned on the
page provided for [calc].  Please confirm that this listing is
correct.

Original:
 [calc]     Bell, D. and L. Noll, "Calc - C-style arbitrary precision
            calculator",
            <http://www.isthe.com/chongo/tech/comp/calc/index.html>. -->

<reference anchor="Cohesia" target="http://www.cohesia.com/">
  <front>
    <title>Cohesia website</title>
    <author>
      <organization>Cohesia</organization>
    </author>
  </front>
</reference>

<!-- [rfced] References:  The provided link for [Cohesia] steers to
<https://cohesia.com/>, which is a business financing site.  We could
not find a relationship to the bullet item in Section 1.2.  Should a
different website be listed here?

Original:
 *  [Cohesia] MASS project server collision avoidance,
...
 [Cohesia]  Cohesia, "Cohesia website", <http://www.cohesia.com/>. -->

<reference anchor="deliantra" target="http://www.deliantra.net/">
  <front>
    <title>Deliantra MMORPG</title>
    <author>
      <organization>The Deliantra Team</organization>
    </author>
    <date year="2016"/>
  </front>
</reference>

<!-- [rfced] References:  We see "NOTICE (2022-10-16): ...", re. a
new server, at the top of the provided page for [deliantra].  Should
this listing be updated to reflect the notice or was this a temporary
situation that no longer applies?

Original:
 [deliantra]
            The Deliantra Team, "Deliantra MMORPG", 2016,
            <http://www.deliantra.net/>.

Possibly (if the notice is still relevant):
 [deliantra]
            The Deliantra Team, "Deliantra MMORPG", 16 October
            2022, <http://www.deliantra.net/>. -->

<reference anchor="fasmlab"
           target="https://sourceforge.net/projects/fasmlab/">
  <front>
    <title>Integrated Development Environment</title> Environments</title>
    <author>
      <organization>Fasmlab</organization>
    </author>
  </front>
</reference>

        <reference anchor="FIPS202" target="https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf">
          <front>
            <title>SHA-3 Standard: Permutation-Based Hash and Extendable
    Output Extendable-Output
              Functions</title>
            <author>
      <organization>National
              <organization abbrev="NIST">National Institute of Standards and
      Technology</organization> Technology (NIST)
              </organization>
            </author>
            <date year="2015" month="8"/> month="August" year="2015"/>
          </front>
	  <seriesInfo name="Federal Information Processing Standards
		    Publicsation" value="FIPS PUB 202"/> name="FIPS PUB" value="202"/>
	  <seriesInfo name="DOI"
	      value="http://dx.doi.org/10.6028/NIST.FIPS.202"/> value="10.6028/NIST.FIPS.202"/>
        </reference>
<reference anchor="flatassembler"
           target="https://flatassembler.net/">
  <front>
    <title>flat assembler, assembler: Assembly language resources</title>
    <author fullname="Tomasz Grysztar" initials="T."
	    surname="Grysztar"/>
    <date year="2025"/>
  </front>
</reference>

<reference anchor="FNV"
           target="http://www.isthe.com/chongo/tech/comp/fnv/index.html">
  <front>
    <title>FNV website</title>
    <author>
      <organization>Fowler-Noll-Vo</organization>
    </author>
  </front>
</reference>

<!-- [rfced] References:  Would you like us to change "Fowler-Noll-Vo"
in the listing for [FNV] to "Fowler, G., Noll, L., and Vo, K." or
perhaps "Noll, L."?  Is "Fowler-Noll-Vo" considered an organization
in this case?

Original:
 [FNV]      Fowler-Noll-Vo, "FNV website",
            <http://www.isthe.com/chongo/tech/comp/fnv/index.html>. -->

<reference anchor="Fortran"
           target="https://stdlib.fortran-lang.org/">
  <front>
    <title>A community driven standard library for (modern)
    Fortran</title>
    <author>
      <organization>Fortran Standard Library</organization>
    </author>
  </front>
</reference>

<reference anchor="FragCache"
target="https://www.slideshare.net/slideshow/improving-running-components-at-twitter/1141786
">
  <front>
    <title>Improving Running Components at Twitter (see slide 31)</title> Twitter</title>
    <author fullname="Evan Waever" initials="E."
	    surname="Weaver"/>
    <date year="2009"/>
  </front>
  <refcontent>Slide 31</refcontent>
</reference>

<reference anchor="FreeBSD"
           target="http://www.freebsd.org/releases/4.3R/notes.html">
           target="https://www.freebsd.org/releases/4.3R/notes.html">
  <front>
    <title>FreeBSD 4.3 Release Notes</title>
    <author>
      <organization>The Free BSD Project</organization>
    </author>
    <date year="2025"/>
  </front>
</reference>

<!-- [rfced] References:  We see "Last modified on: February 21, 2021
by Danilo G. Baio" on the bottom of the provided page for [FreeBSD].
Should this listing be updated to reflect the "Last modified" date
and possibly include "Baio, D. G."?

Original:
 [FreeBSD]  The Free BSD Project, "FreeBSD 4.3 Release Notes", 2025,
            <http://www.freebsd.org/releases/4.3R/notes.html>. -->

<reference anchor="FRET"
           target="https://fret.sourceforge.net/">
  <front>
    <title>FRET helps
    <title>FRET: helping understand file formats</title>
    <author fullname="Michael McCarthy" initials="M."
	    surname="McCarthy"/>
    <date year="2006" month="1" month="January" day="19"/>
  </front>
</reference>

<reference anchor="GolfHash"
           target="https://golf-lang.com/new-hash.html">
  <front>
    <title>Golf Language Hash Tables</title>
    <author>
      <organization>Gliim LLC</organization>
    </author>
    <date year="2025"/>
  </front>
</reference>

<!-- [rfced] References:  The provided URL for [GolfHash] steers to
<https://rimstone-lang.com/>, and we see "Golf is now RimStone
(2025-10-02)".  May we change the citation string to "[RimStone]"
and update the URL?

Original:
 *  Golf language hash tables [GolfHash],
...
 [GolfHash] Gliim LLC, "Golf Language Hash Tables", 2025,
            <https://golf-lang.com/new-hash.html>.

Possibly:
 *  Golf language hash tables [RimStone],
...
 [RimStone] Gliim LLC, "Golf Language Hash Tables", 2025,
            <https://rimstone-lang.com/>. -->

<reference anchor="IEEE" target="http:www.ieee.org"> target="https://www.ieee.org/">
  <front>
    <title>IEEE website</title>
    <author>
      <organization>Institute for Electrical and Electronics
      Engineers</organization>
    </author>
  </front>
</reference>

<reference anchor="IEEE8021Qbp">
  <front>
    <title>Media Access Control (MAC) Bridges and Virtual Bridged
    Local Area Networks - Equal Cost Multiple Path (ECMP)</title>
    <author surname="IEEE 802.1"/>
    <date year="2014" month="April" day="7"/>
  </front>
  <seriesInfo name="IEEE Std" value="802.1Qbp-2014"/>
</reference>

<!-- [rfced] References:  Regarding [IEEE8021Qbp]:  A Google search
for "IEEE Std 802.1Qbp" yields several "hits", but
<https://standards.ieee.org/ieee/802.1Qbp/5217/> and
<https://ieeexplore.ieee.org/document/6783684> (1) show titles that
include "Amendment 22:" and (2) list this standard as "Superseded".
Please let us know how, or if, this listing should be updated.

Original:
 [IEEE8021Qbp]
            "Media Access Control (MAC) Bridges and Virtual Bridged
            Local Area Networks - Equal Cost Multiple Path (ECMP)",
            IEEE Std 802.1Qbp-2014, 7 April 2014. -->

<reference anchor="IEN137"
	    target="https://www.rfc-editor.org/ien/ien137.txt">
  <front>
    <title>On Holy Wars and A Plea For Peace</title>
    <author fullname="Danny Cohen" initials="D."
	    surname="Cohen">
      <organization>USC/ISI</organization>
    </author>
    <date year="1980" month="4" month="April" day="1"/>
  </front>
  <seriesInfo name="IEN" value="137"/>
  <refcontent>IEN 137</refcontent>
</reference>

<reference anchor="IPv6flow"
target="https://researchspace.auckland.ac.nz/bitstream/handle/2292/13240/flowhashRep.pdf">
  <front>
    <title>Comparing Hash Function Algorithms for the IPv6 Flow
    Label</title>
    <author fullname="Lewis Anderson" initials="L."
            surname="Anderson">
      <organization>The University of Auckland</organization>
      <address>
        <email>land062@auckland.ac.nz</email>
      </address>
    </author>
    <author fullname="Nevil Brownlee" initials="N."
            surname="Brownlee">
      <organization>The University of Auckland</organization>
      <address>
        <email>n.brownlee@auckland.ac.nz</email>
      </address>
    </author>
    <author fullname="Brian E. Carpenter" initials="B."
            surname="Carpenter">
      <organization>The University of Auckland, Department of Computer
      Science</organization>
      <address>
        <email>brain@cs.auckland.ac.nz</email>
      </address>
    </author>
    <date year="2012" month="March"/>
  </front>
  <seriesInfo name="University
  <refcontent>University of Auckland Department of Computer Science Technical Report" value="2012-002"/> Report 2012-002</refcontent>
  <seriesInfo name="ISSN" value="1173-3500"/>
</reference>

<!-- [rfced] References:  The provided URL for [IPv6flow] yields
either "Hmm. We're having trouble finding that site.  We can't
connect to the server at rsnode-app-prod" or "502 Bad Gateway".
However, <https://www.cs.auckland.ac.nz/~brian/flowhashRep.pdf>
provides what appears to be the same paper.  Would this URL be
considered stable?  If yes, could we update this listing as follows?

Original:
 [IPv6flow] Anderson, L., Brownlee, N., and B. Carpenter, "Comparing
            Hash Function Algorithms for the IPv6 Flow Label",
            University of Auckland Department of Computer Science
            Technical Report 2012-002, ISSN 1173-3500, March 2012,
            <https://researchspace.auckland.ac.nz/bitstream/
            handle/2292/13240/flowhashRep.pdf>.

Possibly:
 [IPv6flow] Anderson, L., Brownlee, N., and B. E. Carpenter,
            "Comparing Hash Function Algorithms for the IPv6 Flow
            Label", University of Auckland Department of Computer
            Science Technical Report 2012-002, ISSN 1173-3500, March
            2012,
            <https://www.cs.auckland.ac.nz/~brian/flowhashRep.pdf>. -->

<reference anchor="LCN2"
	    target="https://github.com/lcn2/fnv">
  <front>
    <title>lcn2 / fnv</title>
    <author fullname="Landon Curt Noll" initials="L."
	    surname="Noll">
      <organization>Cisco</organization>
    </author>
    <author fullname="Cody Boone Ferguson" initials="C."
	    surname="Ferguson"/>
    <date month="November" day="19" year="2025"/>
  </front>
  <refcontent>commit 953444c</refcontent>
</reference>

<reference anchor="Leprechaun"
           target="http://www.sanmayce.com/Downloads/">
  <front>
    <title>Sanmayce project 'Underdog Way'</title>
    <author>
      <organization>Sanmayce project</organization>
    </author>
  </front>
</reference>

<reference anchor="libstr" anchor="libsir"
           target="https://github.com/aremmell/libsir">
  <front>
    <title>libstr
    <title>libsir logging library</title>
    <author initials="R." surname="Lederman"/>
    <author initials="J." surname="Johnson"/>
    <date month="December" day="03" year="2025"/>
  </front>
 <refcontent>commit 0ae0173</refcontent>
</reference>

<reference anchor="memcache"
           target="http://pecl.php.net/package/memcache">
           target="https://pecl.php.net/package/memcache">
  <front>
    <title>PHP memcached extension</title>
    <author initials="A." surname="Dovgal">
      <organization>The PHP Group</organization>
    </author>
    <author initials="P." surname="Joye">
      <organization>The PHP Group</organization>
    </author>
    <author initials="H." surname="Radtke">
      <organization>The PHP Group</organization>
    </author>
    <author initials="M." surname="Johansson">
      <organization>The PHP Group</organization>
    </author>
    <author initials="T." surname="Srnka">
      <organization>The PHP Group</organization>
    </author>
    <date year="2023" month="4" month="April" day="30"/>
  </front>
</reference>

<referencegroup anchor="NCHF">
  <reference anchor="NCHF1" target="https://cacm.acm.org/practice/questioning-the-criteria-for-evaluating-non-cryptographic-hash-functions/">
    <front>
      <title>Questioning the Criteria for Evaluating Non-Cryptographic
      Hash Functions</title>
      <author fullname="Catherine Hayes" initials="C." surname="Hayes">
        <organization>Maynooth University</organization>
      </author>
      <author fullname="David Malone" initials="D." surname="Malone">
        <organization>Maynooth University</organization>
      </author>
      <date year="2025" month="1" day="15"/> month="February"/>
    </front>
    <refcontent>Communications of the ACM, Vol. 68 No. 2, pp. 46-51</refcontent>
    <seriesInfo name="DOI" value="10.1145/3704255"/>
  </reference>
  <reference anchor="NCHF2"
      target="https://ieeexplore.ieee.org/abstract/document/10603139">
    <front>
      <title>An Evaluation of FNV Non-Cryptographic Hash
      Functions</title>
      <author fullname="Catherine Hayes" initials="C." surname="Hayes">
        <organization>Maynooth University</organization>
      </author>
      <author fullname="David Malone" initials="D." surname="Malone">
        <organization>Maynooth University</organization>
      </author>
      <date year="2024" month="June"/>
    </front>
  <refcontent>Proceedings of the 35th Irish Signals and Systems Conference (ISSC)</refcontent>
  <seriesInfo name="DOI"
	      value="10.1109/ISSC61953.2024.10603139"/>
  </reference>
</referencegroup>

<xi:include
  href="https://www.rfc-editor.org/refs/bibxml/reference.RFC.3174.xml"/>
  href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.3174.xml"/>
<xi:include
  href="https://www.rfc-editor.org/refs/bibxml/reference.RFC.6194.xml"/>
  href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.6194.xml"/>
<xi:include
  href="https://www.rfc-editor.org/refs/bibxml/reference.RFC.6234.xml"/>
  href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.6234.xml"/>
<xi:include
  href="https://www.rfc-editor.org/refs/bibxml/reference.RFC.6437.xml"/>
  href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.6437.xml"/>
<xi:include
  href="https://www.rfc-editor.org/refs/bibxml/reference.RFC.7357.xml"/>
  href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.7357.xml"/>
<xi:include
  href="https://www.rfc-editor.org/refs/bibxml/reference.RFC.7873.xml"/>
  href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.7873.xml"/>
<xi:include
  href="https://www.rfc-editor.org/refs/bibxml/reference.RFC.8200.xml"/>
  href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.8200.xml"/>

<reference anchor="twistylists"
           target="https://twistylists.blogspot.com/">
  <front>
    <title>A
    <title>twistylists: A no-sort namespace engine</title>
    <author>
      <organization>twistylists</organization> engine; developers invited</title>
    <author fullname="Dave Zethmayr" initials="D." surname="Zethmayr">
      <organization/>
    </author>
    <date month="November" day="6" year="2012"/>
  </front>
</reference>

<reference anchor="Vely"
           target="https://www.linuxlinks.com/vely-general-purpose-framework/">
  <front>
    <title>Vely - general purpose framework</title>
    <author fullname="Sergio Mijatovic" initials="S."
	    surname="Mijatovic"/>
    <date month="October" day="26" year="2023"/>
  </front>
</reference>

<!-- [rfced] References:  On the provided page for [Vely], we see
"Steve Emms" near the top of the page and "Website: No longer
publicly developed" further down, past the bullet list and just
above "Developer: Sergio Mijatovic".

Also, on the provided page several commenters have noted that some
relevant pages have been taken down.  Will this citation still be
helpful to readers, or should it be updated?

Original:
 [Vely]     Mijatovic, S., "Vely - general purpose framework",
            <https://www.linuxlinks.com/vely-general-purpose-
            framework/>. -->

<reference anchor="Vortetty"
           target="https://github.com/Vortetty/gba-rtx">
  <front>
    <title>Raytracing for the gba</title>
    <author surname="Vortetty"/>
    <date month="February" day="26" year="2025"/>
  </front>
  <refcontent>commit f8bf009</refcontent>
</reference>

<!-- [rfced] References:  We could not see how [Vortetty] is related
to pseudorandom number generation.  Please confirm that the citation
and reference listing will be clear to readers.

Original:
 *  to help seeding a pseudo random number generator [Vortetty],
...
 [Vortetty] "Raytracing for the gba",
            <https://github.com/Vortetty/gba-rtx>. -->

</references>
</references>

<section anchor="Effort">  <!-- Appendix A -->
  <name>Work Comparison with SHA-1 and SHA-256</name>

<t>This appendix provides a simplistic rough comparison of the level
of effort required to compute FNV-1a, SHA-1 <xref
target="RFC3174"/>, and SHA-256 <xref target="RFC6234"/> for short
messages,
messages -- that is, those less than around 50 bytes. Some CPUs may have
special instructions or other hardware to accelerate certain
cryptographic operations so, operations, so if performance is particularly important
for an application, benchmarking on the target platform would be
appropriate.</t>

<t>Ignoring transfer of control and conditional tests, and equating all
logical and arithmetic operations, FNV requires two operations per byte:
an XOR operation and a multiply operation.

<!-- [rfced] Appendix A:  We had trouble at first following the
"and" relationships in this sentence.  We updated per the
"Ignoring SHA-1's ..." and "Ignoring SHA-256's" sentences that
appear two and three paragraphs below this sentence.

Also, as it appears that two items are listed here (the XOR and
multiply operations, per 'the "xor" and multiply operations' in
Section 2) rather than three items, we updated this sentence
accordingly.  If anything is incorrect, please clarify.

Original:
 Ignoring transfer of control and conditional tests and equating all
 logical and arithmetic operations, FNV requires 2 operations per
 byte, an XOR and a multiply.</t> multiply.

Currently:
 Ignoring transfer of control and conditional tests, and equating all
 logical and arithmetic operations, FNV requires two operations per
 byte: an XOR operation and a multiply operation. -->

</t>

<t>SHA-1 and SHA-256 are actually designed to accept a bit vector
input
input, although almost all computer uses apply them to an integer
number of bytes. They both process blocks of 512 bits (64 bytes) bytes), and
we estimate the effort involved in processing a full block. There is
some overhead per message to indicate message termination and
size. Assuming that the message is an even number of bytes, this overhead
would be 9 bytes for SHA-1 and 17 bytes for SHA-256. So, assuming that the
message with that overhead fits into one block, the message would be
up to 55 bytes for SHA-1 or up to 47 bytes for SHA-256.</t>

<t>SHA-1 is a relatively weak cryptographic hash function producing a
160-bit hash. It has been partially broken <xref
target="RFC6194"/>. Ignoring SHA-1's initial set up, setup, transfer of
control, and conditional tests, but counting all logical and
arithmetic operations, including counting indexing as an addition,
SHA-1 requires 1,744 operations per 64 bytes 64-byte block or 31.07 operations
per byte for a message of 55 bytes. By this rough measure, it is a
little over 15.5 times the effort of FNV.</t> FNV.

<!-- [rfced] Appendix A:  We see from Google searches (e.g., a search
for "Is SHA-1 broken?") that SHA-1 has apparently been fully broken.
Would you like to update this text accordingly?

Original (the previous sentence is included for context):
 SHA-1 is a relatively weak cryptographic hash function producing a
 160-bit hash.  It has been partially broken [RFC6194].

Possibly:
 SHA-1 [RFC6194] is a relatively weak cryptographic hash function
 producing a 160-bit hash.  In recent years, it has been broken. -->

</t>

<t>SHA-256 is, at the time of publication, considered to be a stronger
cryptographic hash function than SHA-1. Ignoring SHA-256's initial set
up, setup, transfer of control, and conditional tests, but counting all
logical and arithmetic operations, SHA-1 requires 2,058 operations per
64 bytes
64-byte block or 48.79 operations per byte for a message of 47
byte.
bytes. By this rough measure, it is over 24 times the effort of
FNV.</t>

<t>However, FNV is commonly used for short inputs inputs, so doing a comparison for of
such inputs is relevant. Using the above comparison method, for inputs
of N bytes, where N is &lt;= 55 so SHA-1 will take one block, the
ratio of the effort for SHA-1 to the effort for FNV will be 872/N.
For inputs of N bytes, where N is &lt;= 47 so SHA-256 will take one
block, the ratio of the effort for SHA-256 to the effort for FNV will
be 1029/N. Some examples are given below.</t>

<table>
  <thead>
    <tr><td>Example</td><td
    <tr><th>Example</th><th align="right">Length in Bytes</td><td Bytes</th>
    <th align="right">SHA-1 Effort Relative to FNV Effort</td><td Effort</th>
    <th align="right">SHA-256 Effort Relative to FNV Effort</td></tr> Effort</th></tr>
  </thead>
  <tbody>
    <tr><td>IPv4 address</td><td align="right">4</td><td
    align="right">218</td><td align="right">514</td></tr>
    <tr><td>MAC address</td><td align="right">6</td><td
    align="right">145</td><td align="right">171</td></tr>
    <tr><td>IPv6 address</td><td align="right">16</td><td
    align="right">54</td><td align="right">64</td></tr>
  </tbody>
</table>

</section> <!-- Appendix A -->

<section>  <!-- Appendix B -->
  <name>Previous IETF FNV Code</name>

<t>FNV-1a was referenced in draft-ietf-tls-cached-info-08
(which was ultimately published as RFC 7924, but RFC 7924 no longer contains the code below). Herein, we provide the Java code for FNV64 from that earlier draft, included with the kind permission of the author:

<!-- [rfced] Appendix B:  Because (1) draft-ietf-tls-cached-info-08
did not expire (version -09 had been uploaded to the Datatracker about
3 months after version -08, per
<https://datatracker.ietf.org/doc/rfc7924/history/>) and (2) this
draft was ultimately published as RFC 7924
(https://www.rfc-editor.org/info/rfc7924) (which we see no longer
contains the code in question), we updated this text accordingly.
Please review, and let us know if further clarifications are needed.

Also, we see that the code in this document is somewhat different
than the code provided in draft-ietf-tls-cached-info-08.
For example:

 In this document:
  static public BigInteger getFNV1aToByte(byte[] inp) {

 In draft-ietf-tls-cached-info-08:
  static public BigInteger getFNV1a64Digest (String inpString) {

Should this be somehow clarified for readers?  If yes, please provide
the text.

Original:
 FNV-1a was referenced in draft-ietf-tls-cached-info-08.txt that has
 since expired.  Below is the Java code for FNV64 from that TLS draft
 included with the kind permission of the author:</t> author:

Currently:
 FNV-1a was referenced in draft-ietf-tls-cached-info-08
 (which was ultimately published as RFC 7924, but RFC 7924 no longer
 contains the code below).  Herein, we provide the Java code for FNV64
 from that earlier draft, included with the kind permission of the
 author: -->

</t>

<!-- [LB] Marking sourcecode, including the "Java code sample ..."
     header, as DNE; pulled from draft-ietf-tls-cached-info-08
     (2010 precursor to RFC 7924 (published in 2016)).  The code here
     doesn't match the code in draft-ietf-tls-cached-info-08, though,
     so AQed to see if the differences should be mentioned in some way. -->

<!-- Begin DNE code -->
<sourcecode type="java" markers="true"> markers="true"><![CDATA[
 /*
 * Java code sample, implementing 64 bit FNV-1a
 * By Stefan Santesson
 */

import java.math.BigInteger;

public class FNV {

   static public BigInteger getFNV1aToByte(byte[] inp) {

       BigInteger m = new BigInteger("2").pow(64);
       BigInteger fnvPrime = new BigInteger("1099511628211");
       BigInteger fnvOffsetBasis =
               new BigInteger("14695981039346656037");

       BigInteger digest = fnvOffsetBasis;

       for (byte b : inp) {
           digest = digest.xor(BigInteger.valueOf((int) b &amp; & 255));
           digest = digest.multiply(fnvPrime).mod(m);
       }
       return digest;

   }
}
</sourcecode>

</section>

<section>
  <name>Change History</name>

<t>RFC Editor Note: Please delete this appendix on publication.</t>

<section>
  <name>From -00 to -01</name>

<ol>
  <li>Add Security Considerations section on why FNV is
non-cryptographic.</li>
  <li>Add Appendix A on a work factor comparison with SHA-1.</li>
  <li>Add Appendix B concerning previous IETF draft referenced to
  FNV.</li>
  <li>Minor editorial changes.</li>
</ol>

</section>
<section>
  <name>From -01 to -02</name>

<ol>
  <li>Correct FNV_Prime determination criteria and add note as to why
  s &lt; 5 and s > 10 are not considered.</li>
  <li>Add acknowledgements list.</li>
  <li>Add a couple of references.</li>
  <li>Minor editorial changes.</li>
</ol>

</section>
<section>
  <name>From -02 to -05</name>

<ol>
  <li>Minor addition to Section 6, point 3.</li>
  <li>Add Twitter as a use example and IPv6 flow hash study
  reference.</li>
  <li>Minor editorial changes.</li>
</ol>

</section>
<section>
  <name>From -05 to -08</name>

<ol>
  <li>Add
]]></sourcecode>
<!-- End DNE code subsections.</li>
  <li>Update Author info.</li>
  <li>Minor edits.</li>
</ol> -->

</section>
<section>
  <name>From -08 to -09</name>

<ol>
  <li>Change reference for ASCII to <xref target="RFC0020"/>.</li>
  <li>Add more details on history

<section anchor="Acknowledgements" numbered="false">
  <name>Acknowledgements</name>
  <t>The contributions of the string used to compute
  offset_basis.</li>
  <li>Re-write "Work Factor" part of Section 6 to be more
  precise.</li>
  <li>Minor editorial changes.</li>
</ol>

</section>
<section>
  <name>From -09 to -10</name>

<ol>
  <li>Inclusion of initial partial version of code and some
  documentation about following, listed in alphabetical order,
  are gratefully acknowledged:</t>

  <t><contact fullname="Roman Donchenko"/>, <contact fullname="Frank
  Ellermann"/>, <contact fullname="Stephen Farrell"/>, <contact fullname="Tony
  Finch"/>, <contact fullname="Paul Hoffman"/>, <contact fullname="Charlie Kaufman"/>, <contact fullname="Eliot
  Lear"/>, <contact fullname="Bob Moskowitz"/>, <contact fullname="Gayle
  Noble"/>, <contact fullname="Stefan Santesson"/>, <contact fullname="Mukund
  Sivaraman"/>,
and <contact fullname="Paul Wouters"/>.

<!-- [rfced] Acknowledgements section:  As the code, Section 9.</li>
  <li>Insertion of new Section 4 on hashing values.</li>
</ol>

</section>
<section>
  <name>From -10 to -12</name>

  <t>Changes based on code improvements primarily from names were mostly
listed in alphabetical order, we moved Paul Hoffman's name so that it
is listed between Tony Hansen who
  has been added as an author. Changes based on comments from Mukund
  Sivaraman Finch and Charlie Kaufman.  Please let us know
any concerns.

Original:
 Roman Donchenko.</t>

</section>
<section>
  <name>From -12 to -13</name>

  <t>Fixed bug in pseudocode in Section 2.3.</t>

  <t>Change code to eliminate the BigEndian flag and so there are
  separate byte vector output routines for FNV32 Donchenko, Frank Ellermann, Stephen Farrell, Tony Finch,
 Charlie Kaufman, Eliot Lear, Bob Moskowitz, Gayle Noble, Stefan
 Santesson, Mukund Sivaraman, Paul Hoffman, and FNV64, equivalent
  to the other routines, Paul Wouters.

Currently:
 Roman Donchenko, Frank Ellermann, Stephen Farrell, Tony Finch, Paul
 Hoffman, Charlie Kaufman, Eliot Lear, Bob Moskowitz, Gayle Noble,
 Stefan Santesson, Mukund Sivaraman, and integer output routines for cases where
  Endian-ness consistency is not required.</t>

</section>
<section>
  <name>From -13 to -17</name>

<ol>
  <li>Update an author address</li>
  <li>Update an author affiliation.</li>
</ol> Paul Wouters. -->

</t>

</section>
<section>
  <name>From -17 to -19</name>

<ol>
    <li>Add reference to draft-ietf-bfd-secure-sequence-numbers.</li>
    <li>Add references to

</back>

<!-- [rfced] Please review the following, each "Inclusive Language" portion of which uses FNV: RFC
    7357, RFC 7873, and IEEE Std. 802.1Qbp-2014</li>
    <li>Update author information</li>
    <li>Minor editorial changes.</li>
</ol>

</section>
<section>
  <name>From -19 to -20</name>

  <t>Convert to XML v3. Fix code for longer FNV hashes.</t>

</section>
<section>
  <name>From -20 to -21</name>

  <t>Update Twitter to X. Minor Editorial changes.</t>

</section>
<section>
  <name>From -21 to -22</name>

  <t>Update Landon's email. Minor Editorial changes. Update to
  substantially improved code.</t>

</section>
<section>
  <name>From -22 to -23</name>

<ol>
    <li>Author info update.</li>
    <li>Make byte vector returning versions of
    functions available for all sizes.</li>
    <li>Remove BigEndian code due to difficulty in finding someone to
    test it. This only affects multi-byte integer returns and correct
    results can always be obtained by using the byte vector return
    versions
online Style Guide at
<https://www.rfc-editor.org/styleguide/part2/#inclusive_language>,
and let us know if any changes are needed.  Updates of functions.</li>
</ol>

</section>
<section>
  <name>From -23 to -25</name>

<ol>
    <li>Correct some errors in comments this nature
typically result in the code, fix some
    omissions and add testing more precise language, which is helpful for the file hashing code, and other
    code polishing</li>
    <li>Minor editorial changes.</li>
</ol>

</section>
<section>
  <name>From -25 to -28</name>

<ol>
    <li>Add autodetect
readers.

Note that our script did not flag any words in FNVconfig.h of target support for 64-bit
    integers.</li>
    <li>Add discussion of what source files particular, but this
should still be reviewed as a best practice. -->

<!-- [rfced] Please let us know if any changes are needed for particular
    uses.</li>
    <li>Fix code so it compiles properly if all .c files are
    concatenated as well as when they are compiled separately.</li>
    <li>Add makefile section.</li>
    <li>Fix some problems with &amp;gt; and >.</li>
    <li>Minor editorial improvements.</li>
</ol>

</section>
<section>
  <name>From -28 to -29</name>

<t>Responding to some IETF Last Call Comments: minor re-organization
of Introduction and addition to the Introduction of a some
non-applicability considerations. Minor editorial improvements.</t>

</section>
<section>
  <name>From -29 to -30</name>

  <ol>
    <li>Reorganize Section 1 and add to it a subsection on the
    applicability of non-cryptographic hash functions.</li>
    <li>Rewrite and expand <xref target="bang"/> on inducing
    collisions.</li>
    <li>Add material on parallelization to the section on hashing
    multiple values.</li>
    <li>Add a reference
following:

a) The following terms were used inconsistently in this document.
We chose to IEN 137 on Endian-ness.</li>
    <li>Minor editorial improvements.</li>
    <li>Minor coding changes including adding function calls
    supporting variant offset_basis values and reducing the size of
    main.c through the use the latter forms.  Please let us know any objections.

 power of C pre-processor macros.</li>
  </ol>

</section>
<section>
  <name>From -30 to -31</name>

  <ol>
    <li>Add more uses two / power of FNV 2  (We also changed "power-of-two" to <xref target="Uses"/>.</li>
    <li>Fix instructions for reporting uses of FNV.</li>
    <li>Minor editing changes.</li>
  </ol>

</section>
<section>
  <name>From -31
   "power-of-2".)

b) The following terms appear to -32</name>

  <ol>
    <li>Move purpose sentence for be used inconsistently in this draft from the beginning of
document.  Please let us know which form is preferred.

 " 256, 512, and 1024\n"); / "256, 512, and 1024\n" );
   (spacing in back-to-back printf statements)

 64-bit Integers / 64-bit integers (back-to-back printf statements
   in Section 6 to 8.3)
   (We suggest lowercase "integers", per usage in the Introduction.</li>
    <li>Minor editing changes.</li>
  </ol>

</section>
<section>
  <name>From -32 to -33</name>

  <ol>
    <li>Edit based on Independent Submissions Editor review. Includes
    moving around some material, creation rest of the Historical Notes
    Appendix, add additional uses including references for some uses,
    etc.</li>
    <li>Add <xref target="C"/>, <xref target="LCN2"/>,
   this document.)

 flow ID / Flow ID (text in Section 4) (We asked about this
   inconsistency earlier, so this might have been resolved already.)

 FNV Prime(s) / FNV_Prime(s) / FNV_prime
   (e.g., "Size FNV Prime" and <xref
    target="Vely"/> to References.</li>
    <li>Minor editing changes.</li>
  </ol>

</section>
<section>
  <name>From -33 to -34</name>

  <t>Add "This work is not an Internet standard "32-bit FNV_Prime = ..." (Table 1),
   "32-bit FNV_prime = ..." (Section 8.2.1), and is not the result
  of consensus of the IETF community." similar ones
   throughout Section 8.2)

 little endian (adj.) (e.g., "little endian format",
   "little endian byte vector") /
   little-endian (e.g., "big endian or other non-little-endian
   machines")

   Suggested:  little-endian format, little-endian byte vector,
   big-endian machines or other non-little-endian machines

 one bits (noun) / one-bits (noun)  (If you wish to use the Introduction.</t>

</section>
<section>
  <name>From -34 to -35</name>

  <t>Update based on reviews
   hyphen, should "one bit" used as follows:</t>

  <ol>
    <li>Add references to SHA3 <xref target="FIPS202"/>.</li>
    <li>Slightly simplify the wording of <xref
    target="applicability"/>.</li>
    <li>Add <xref target="NCHF"/> reference group.</li>
    <li>Make it clear that the Section 2 pseudocode uses modulus
    arithmetic mod 2**HashSize.</li>
    <li>Mention a noun in Section 8 that some other source code might be
    more optimized.</li>
    <li>Mention in Appendix A that some CPUs may have hardware that
    accelerates some cryptographic operations and, if performance is
    important for a particular application, benchmarking on the target
    platform would 2.1 also be appropriate.</li>
    <li>Augment Appendix A with rough computational effort estimates
    for SHA-256 as well
   hyphenated?)

 Extra space after "+" sign (5 instances):
   ctx->Hash[i] = ( temp<<8 ) +  *basis++;
   ctx->Hash[i] = ( temp<<8 ) +  (*basis++);
 as SHA-1 compared to
   ctx->Hash[i] = temp + *basis++;

 printf(  (2 instances) / printf (  (33 instances)

 TestNValue ("  (2 instances) / TestNValue ( "  (16 instances)

 TestR ( "  (84 instances) / TestR ("  (7 instances)

 Verbose flag (3 instances) / verbose flag (1 instance)

 XOR folding / xor folding (in running text)
  (We also see "xor data folding".)

 "xor" (operations)  ("the "xor" and reformat examples as a table.</li>
    <li>Minor editing changes.</li>
  </ol>

</section>

</section>

<section anchor="Acknowledgements" numbered="false">
  <name>Acknowledgements</name>

  <t>The contributions of the following, listed is alphabetic order,
  are gratefully acknowledged:</t>

  <t>Roman Donchenko, Frank Ellermann, Stephen Farrell, Tony Finch,
  Charlie Kaufman, Eliot Lear, Bob Moskowitz, Gayle Noble, Stefan
  Santesson, Mukund Sivaraman, Paul Hoffman, multiply operations") /
   XOR (operations)  ("operations per byte, an XOR and Paul Wouters.</t>

</section>

</back> a multiply") -->

</rfc>