<?xml version="1.0" encoding="UTF-8"?>

<!DOCTYPE rfc SYSTEM "rfc2629-xhtml.ent">
<rfc xmlns:xi="http://www.w3.org/2001/XInclude" version="3" ipr="trust200902" docName="draft-ietf-cellar-ffv1-20" number="9043" submissionType="IETF" category="info"
consensus="true" obsoletes="" updates="" xml:lang="en" symRefs="true" sortRefs="true"
tocInclude="true" tocDepth="3">

  <front>
<!-- [rfced]  Should "Version" be plural in the title?

Current:
   FFV1 Video Coding Format Version 0, 1, and 3

Perhaps:
   FFV1 Video Coding Format Versions 0, 1, and 3
-->
    <title abbrev="FFV1">FFV1 Video Coding Format Version Versions 0, 1, and 3</title>
    <seriesInfo name="RFC" value="9043"/>
    <author initials="M." surname="Niedermayer" fullname="Michael Niedermayer">
      <address>
        <email>michael@niedermayer.cc</email>
      </address>
    </author>
    <author initials="D." surname="Rice" fullname="Dave Rice">
      <address>
        <email>dave@dericed.com</email>
      </address>
    </author>
    <author initials="J." surname="Martinez" fullname="Jérôme Martinez">
      <address>
        <email>jerome@mediaarea.net</email>
      </address>
    </author>
    <date year="2021" month="June"/>
    <area>art</area>
    <workgroup>cellar</workgroup>

<!-- [rfced] Please provide any keywords (beyond those that appear in
the title) for use on https://www.rfc-editor.org/search.
-->

<keyword>example</keyword>

<keyword>video preservation</keyword>
<keyword>storage</keyword>
<keyword>ffmpeg</keyword>
<keyword>lossless compression</keyword>

    <abstract>
      <t>This document defines FFV1, a lossless, intra-frame video encoding format. FFV1 is designed to efficiently compress video data in a variety of pixel formats. Compared to uncompressed video, FFV1 offers storage compression, frame fixity, and self-description, which makes FFV1 useful as a preservation or intermediate video format.</t>
    </abstract>
  </front>
  <middle>
    <section anchor="introduction">
      <name>Introduction</name>
      <t>This document describes FFV1, a lossless video encoding format. The design of FFV1 considers the storage of image characteristics, data fixity, and the optimized use of encoding time and storage requirements. FFV1 is designed to support a wide range of lossless video applications such as long-term audiovisual preservation, scientific imaging, screen recording, and other video encoding scenarios that seek to avoid the generational loss of lossy video encodings.</t>
      <t>This document defines versions 0, 1, and 3 of FFV1. The distinctions of the versions are provided throughout the document, but in summary:</t>
      <ul>
        <li>
          <t>Version 0 of FFV1 was the original implementation of FFV1 and was flagged as stable on April 14, 2006 <xref target="FFV1_V0"/>.</t>
        </li>
        <li>
          <t>Version 1 of FFV1 adds support of more video bit depths and was flagged as stable on April 24, 2009 <xref target="FFV1_V1"/>.</t>
        </li>
        <li>
          <t>Version 2 of FFV1 only existed in experimental form and is not described by this document, but it is available as a LyX file at <eref target="https://github.com/FFmpeg/FFV1/blob/8ad772b6d61c3dd8b0171979a2cd9f11924d5532/ffv1.lyx" brackets="angle"/>.</t>
        </li>
        <li>
          <t>Version 3 of FFV1 adds several features such as increased description of the characteristics of the encoding images and embedded Cyclic Redundancy Check (CRC) data to support fixity verification of the encoding. Version 3 was flagged as stable on August 17, 2013 <xref target="FFV1_V3"/>.</t>
        </li>
      </ul>
      <t>This document assumes familiarity with mathematical and coding concepts such as Range encoding <xref target="Range-Encoding"/> and YCbCr color spaces <xref target="YCbCr"/>.</t>
<!-- [rfced]  We are having difficulty parsing the following paragraph:

Current:
   This specification describes the valid bitstream and how to decode
   such valid bitstream.  Bitstreams not conforming to this
   specification or how they are handled is outside this specification.
   A decoder could reject every invalid bitstream or attempt to perform
   error concealment or re-download or use a redundant copy of the
   invalid part or any other action it deems appropriate.

Perhaps:
   This
     <t>This specification describes the valid bitstream and how to decode it.  Nonconformant bitstreams and the nonconformant handling of bitstreams are outside this specification.  A decoder can perform any action that it deems appropriate for an invalid bitstream: reject the bitstream, attempt to perform error concealment, or re-download or use a redundant copy of the invalid part.
-->
      <t>This specification describes the valid bitstream and how to decode such valid bitstream. Bitstreams not conforming to this specification or how they are handled is outside this specification. A decoder could reject every invalid bitstream or attempt to perform error concealment or re-download or use a redundant copy of the invalid part or any other action it deems appropriate.</t> part.</t>
    </section>
    <section anchor="notation-and-conventions">
      <name>Notation and Conventions</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 anchor="definitions">
        <name>Definitions</name>
<dl>
        <dt>FFV1:</dt><dd>The chosen name of this video encoding format, which is the short version of "FF Video 1". The letters "FF" come from "FFmpeg", which is the name of the reference decoder whose first letters originally meant "Fast Forward".</dd>
<!-- [rfced]  Please review the use of fixed-width font for terms
and also the use of general terms ("Configuration Record") and
function terms ("ConfigurationRecord"). Please let us know if any
changes are necessary.
-->
        <dt>Container:</dt><dd> A format that encapsulates Frames (see <xref target="frame"/>) and (when required) a <tt>Configuration Record</tt> into a bitstream.</dd>
        <dt>Sample:</dt><dd> The smallest addressable representation of a color component or a luma component in a Frame. Examples of Sample are Luma (Y), Blue-difference Chroma (Cb), Red-difference Chroma (Cr), Transparency, Red, Green, and Blue.</dd>
        <dt>Symbol:</dt><dd> A value stored in the bitstream, which is defined and decoded through one of the methods described in <xref target="tablePseudoCodeSymbols"/>.</dd>
        <dt>Line:</dt><dd> A discrete component of a static image composed of Samples that represent a specific quantification of Samples of that image.</dd>
        <dt>Plane:</dt><dd> A discrete component of a static image composed of Lines that represent a specific quantification of Lines of that image.</dd>
        <dt>Pixel:</dt><dd> The smallest addressable representation of a color in a Frame. It is composed of one or more Samples.</dd>
        <dt>MSB:</dt><dd>   Most Significant Bit, the bit that can cause the largest change in magnitude of the symbol.</dd>
        <dt>VLC:</dt><dd>   Variable Length Code, a code that maps source symbols to a variable number of bits.</dd>
        <dt>RGB:</dt><dd>   A reference to the method of storing the value of a pixel by using three numeric values that represent Red, Green, and Blue.</dd>
<!-- [rfced]  Are the following expansions of the color space acronyms
accurate?

Current:
      The term YCbCr is
      used for historical reasons and currently references any color
      space relying on one luma Sample and two chroma Samples, e.g.,
      YCbCr, YCgCo, or ICtCp.

Perhaps:
      The term YCbCr is
      used for historical reasons and currently references any color
      space relying on one luma Sample and two chroma Samples, e.g.,
      YCbCr, YCgCo (luma, chrominance green, chrominance orange), or
      ICtCp (intensity, blue-yellow, red-green).
-->
        <dt>YCbCr:</dt><dd> A reference to the method of storing the value of a pixel by using three numeric values that represent the luma of the pixel (Y) and the chroma of the pixel (Cb and Cr). The term YCbCr is used for historical reasons and currently references any color space relying on one luma Sample and two chroma Samples, e.g., YCbCr, YCgCo, YCgCo (luma, blue-difference chroma, red-difference chroma), or ICtCp. The exact meaning of the three numeric values is unspecified.</dd> ICtCp (intensity, blue-yellow, red-green). </dd>
</dl>
      </section>
      <section anchor="conventions">
        <name>Conventions</name>
        <section anchor="pseudo-code">
          <name>Pseudocode</name>
          <t>The FFV1 bitstream is described in this document using pseudocode. Note that the pseudocode is used to illustrate the structure of FFV1 and is not intended to specify any particular implementation. The pseudocode used is based upon the C programming language <xref target="ISO.9899.2018"/> and uses its <tt>if/else</tt>, <tt>while</tt>, and <tt>for</tt> keywords as well as functions defined within this document.</t>
          <t>In some instances, pseudocode is presented in a two-column format such as shown in <xref target="figurePseudoCode"/>. In this form, the <tt>type</tt> column provides a symbol as defined in <xref target="tablePseudoCodeSymbols"/> that defines the storage of the data referenced in that same line of pseudocode.</t>
          <figure anchor="figurePseudoCode">
            <name>A depiction of type-labeled pseudocode used within this document. </name>
            <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
ExamplePseudoCode( ) {                                        |
    value                                                     | ur
}                                                             |
]]></sourcecode>
          </figure>
        </section>
        <section anchor="arithmetic-operators">
          <name>Arithmetic Operators</name>
          <t>Note: the operators and the order of precedence are the same as used in the C programming language <xref target="ISO.9899.2018"/>, with the exception of <tt>&gt;&gt;</tt> (removal of implementation-defined behavior) and <tt>^</tt> (power instead of XOR) operators, which are redefined within this section.</t>

          <t><tt>a + b</tt>       means a plus b.</t>
          <t><tt>a - b</tt>       means a minus b.</t>
          <t><tt>-a</tt>          means negation of a.</t>
          <t><tt>a * b</tt>       means a multiplied by b.</t>
          <t><tt>a / b</tt>       means a divided by b.</t>
          <t><tt>a ^ b</tt>       means a raised to the b-th power.</t>
          <t><tt>a &amp; b</tt>       means bitwise "and" of a and b.</t>
          <t><tt>a | b</tt>       means bitwise "or" of a and b.</t>
          <t><tt>a &gt;&gt; b</tt>      means arithmetic right shift of the two's complement integer representation of a by b binary digits. This is equivalent to dividing a by 2, b times, with rounding toward negative infinity.</t>
          <t><tt>a &lt;&lt; b</tt>      means arithmetic left shift of two's complement integer representation of a by b binary digits.</t>
        </section>
        <section anchor="assignment-operators">
          <name>Assignment Operators</name>
          <t><tt>a = b</tt>       means a is assigned b.</t>
          <t><tt>a++</tt>         is equivalent to a is assigned a + 1.</t>
          <t><tt>a--</tt>         is equivalent to a is assigned a - 1.</t>
          <t><tt>a += b</tt>      is equivalent to a is assigned a + b.</t>
          <t><tt>a -= b</tt>      is equivalent to a is assigned a - b.</t>
          <t><tt>a *= b</tt>      is equivalent to a is assigned a * b.</t>
        </section>
        <section anchor="comparison-operators">
          <name>Comparison Operators</name>
          <t><tt>a &gt; b</tt>       is true when a is greater than b.</t>
          <t><tt>a &gt;= b</tt>      is true when a is greater than or equal to b.</t>
          <t><tt>a &lt; b</tt>       is true when a is less than b.</t>
          <t><tt>a &lt;= b</tt>      is true when a is less than or equal b.</t>
          <t><tt>a == b</tt>      is true when a is equal to b.</t>
          <t><tt>a != b</tt>      is true when a is not equal to b.</t>
          <t><tt>a &amp;&amp; b</tt>      is true when both a is true and b is true.</t>
          <t><tt>a || b</tt>      is true when either a is true or b is true.</t>
          <t><tt>!a</tt>          is true when a is not true.</t>
          <t><tt>a ? b : c</tt>   if a is true, then b, otherwise c.</t>
        </section>
        <section anchor="mathematical-functions">
          <name>Mathematical Functions</name>
          <t><tt>floor(a)</tt>              means the largest integer less than or equal to a.</t>
          <t><tt>ceil(a)</tt>               means the smallest integer greater than or equal to a.</t>
          <t><tt>sign(a)</tt>               extracts the sign of a number, i.e., if a &lt; 0 then -1, else if a &gt; 0 then 1, else 0.</t>
          <t><tt>abs(a)</tt>                means the absolute value of a, i.e., <tt>abs(a)</tt> = <tt>sign(a) * a</tt>.</t>
          <t><tt>log2(a)</tt>               means the base-two logarithm of a.</t>
          <t><tt>min(a,b)</tt>              means the smaller of two values a and b.</t>
          <t><tt>max(a,b)</tt>              means the larger of two values a and b.</t>
          <t><tt>median(a,b,c)</tt>         means the numerical middle value in a data set of a, b, and c, i.e., <tt>a+b+c-min(a,b,c)-max(a,b,c)</tt>.</t>
<!-- [rfced]  FYI  We have made the following variables lowercase
to match the rest of the operators overview.

Original:
   "A ==> B" means A implies B.

   "A <==> B" means A ==> B , B ==> A.

Current:
   "a ==> b" means a implies b.

   "a <==> b" means a ==> b, b ==> a.
-->
          <t><tt>a ==&gt; b</tt>               means a implies b.</t>
          <t><tt>a &lt;==&gt; b</tt>           means a ==&gt; b, b ==&gt; a.</t>
<!-- [rfced]  FYI  Subscripts and superscripts that contain just
one character are now shown in the text output without parentheses.
Subscripts and superscripts that contain multiple characters are
placed in parentheses. For example:

Original:
   a_(b) means the b-th value of a sequence of a

   a_(b,c) means the 'b,c'-th value of a sequence of a

Current:
   a_b means the b-th value of a sequence of a.

   a_(b,c) means the 'b,c'-th value of a sequence of a.
-->
          <t>a<sub>b</sub>                    means the b-th value of a sequence of a.</t>
          <t>a<sub>b,c</sub>                  means the 'b,c'-th value of a sequence of a.</t>
        </section>
        <section anchor="order-of-operation-precedence">
          <name>Order of Operation Precedence</name>
          <t>When order of precedence is not indicated explicitly by use of parentheses, operations are evaluated in the following order (from top to bottom, operations of same precedence being evaluated from left to right). This order of operations is based on the order of operations used in Standard C.</t>
          <artwork type="ascii-art"><![CDATA[
a++, a--
!a, -a
a ^ b
a * b, a / b
a + b, a - b
a << b, a >> b
a < b, a <= b, a > b, a >= b
a == b, a != b
a & b
a | b
a && b
a || b
a ? b : c
a = b, a += b, a -= b, a *= b
]]></artwork>
        </section>
        <section anchor="range">
          <name>Range</name>
          <t><tt>a...b</tt> means any value from a to b, inclusive.</t>
        </section>
        <section anchor="numbytes">
          <name>NumBytes</name>
          <t><tt>NumBytes</tt> is a nonnegative integer that expresses the size in 8-bit octets of a particular FFV1 <tt>Configuration Record</tt> or <tt>Frame</tt>. FFV1 relies on its container to store the <tt>NumBytes</tt> values; see <xref target="mapping-ffv1-into-containers"/>.</t>
        </section>
        <section anchor="bitstream-functions">
          <name>Bitstream Functions</name>
          <section anchor="remaining-bits-in-bitstream">
            <name>remaining_bits_in_bitstream</name>
            <t><tt>remaining_bits_in_bitstream( NumBytes )</tt> means the count of remaining bits after the pointer in that <tt>Configuration Record</tt> or <tt>Frame</tt>. It is computed from the <tt>NumBytes</tt> value multiplied by 8 minus the count of bits of that <tt>Configuration Record</tt> or <tt>Frame</tt> already read by the bitstream parser.</t>
          </section>
          <section anchor="remaining-symbols-in-syntax">
            <name>remaining_symbols_in_syntax</name>
<!-- [rfced]  We note that RangeCoder is used only in "get_symbol".
In the following sentence, should RangeCoder be Range Coder?

Current:
   "remaining_symbols_in_syntax( )" is true as long as the RangeCoder
   has not consumed all the given input bytes.
-->
            <t><tt>remaining_symbols_in_syntax( )</tt> is true as long as the RangeCoder has not consumed all the given input bytes.</t>
          </section>
          <section anchor="byte-aligned">
            <name>byte_aligned</name>
            <t><tt>byte_aligned( )</tt> is true if <tt>remaining_bits_in_bitstream( NumBytes )</tt> is a multiple of 8, otherwise false.</t>
          </section>
          <section anchor="get-bits">
            <name>get_bits</name>
            <t><tt>get_bits( i )</tt> is the action to read the next <tt>i</tt> bits in the bitstream, from most significant bit to least significant bit, and to return the corresponding value. The pointer is increased by <tt>i</tt>.</t>
          </section>
        </section>
      </section>
    </section>
    <section anchor="sample-coding">
      <name>Sample Coding</name>
      <t>For each <tt>Slice</tt> (as described in <xref target="slice"/>) of a Frame, the Planes, Lines, and Samples are coded in an order determined by the color space (see <xref target="color-spaces"/>). Each Sample is predicted by the median predictor as described in <xref target="median-predictor"/> from other Samples within the same Plane, and the difference is stored using the method described in <xref target="coding-of-the-sample-difference"/>.</t>
      <section anchor="border">
        <name>Border</name>
        <t>A border is assumed for each coded <tt>Slice</tt> for the purpose of the median predictor and context according to the following rules:</t>
        <ul>
          <li>One column of Samples to the left of the coded slice Slice is assumed as identical to the Samples of the leftmost column of the coded slice Slice shifted down by one row. The value of the topmost Sample of the column of Samples to the left of the coded slice Slice is assumed to be <tt>0</tt>.</li>
          <li>One column of Samples to the right of the coded slice Slice is assumed as identical to the Samples of the rightmost column of the coded slice.</li> Slice.</li>
          <li>An additional column of Samples to the left of the coded slice Slice and two rows of Samples above the coded slice Slice are assumed to be <tt>0</tt>.</li>
        </ul>
        <t><xref target="figureAssumedBorder"/> depicts a slice Slice of nine Samples <tt>a,b,c,d,e,f,g,h,i</tt> in a three-by-three arrangement along with its assumed border.</t>
        <figure anchor="figureAssumedBorder">
          <name>A depiction of FFV1's assumed border for a set of example Samples. </name>
          <artwork type="ascii-art"><![CDATA[
+---+---+---+---+---+---+---+---+
| 0 | 0 |   | 0 | 0 | 0 |   | 0 |
+---+---+---+---+---+---+---+---+
| 0 | 0 |   | 0 | 0 | 0 |   | 0 |
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
| 0 | 0 |   | a | b | c |   | c |
+---+---+---+---+---+---+---+---+
| 0 | a |   | d | e | f |   | f |
+---+---+---+---+---+---+---+---+
| 0 | d |   | g | h | i |   | i |
+---+---+---+---+---+---+---+---+
]]></artwork>
        </figure>
      </section>
      <section anchor="samples">
        <name>Samples</name>
        <t>Relative to any Sample <tt>X</tt>, six other relatively positioned Samples from the coded Samples and presumed border are identified according to the labels used in <xref target="figureRelativeSampleNames"/>. The labels for these relatively positioned Samples are used within the median predictor and context.</t>
        <figure anchor="figureRelativeSampleNames">
          <name>A depiction of how relatively positioned Samples are referenced within this document. </name>
          <artwork type="ascii-art"><![CDATA[
+---+---+---+---+
|   |   | T |   |
+---+---+---+---+
|   |tl | t |tr |
+---+---+---+---+
| L | l | X |   |
+---+---+---+---+
]]></artwork>
        </figure>
        <t>The labels for these relative Samples are made of the first letters of the words Top, Left, and Right.</t>
      </section>
      <section anchor="median-predictor">
        <name>Median Predictor</name>
        <t>The prediction for any Sample value at position <tt>X</tt> may be computed based upon the relative neighboring values of <tt>l</tt>, <tt>t</tt>, and <tt>tl</tt> via this equation:</t>
        <artwork type="ascii-art"><![CDATA[
median(l, t, l + t - tl)
]]></artwork>
        <t>Note that this prediction template is also used in <xref target="ISO.14495-1.1999"/> and <xref target="HuffYUV"/>.</t>
        <section anchor="exception">
          <name>Exception</name>
          <t>If <tt>colorspace_type == 0 &amp;&amp; bits_per_raw_sample == 16 &amp;&amp; ( coder_type == 1 || coder_type == 2 )</tt> (see Sections <xref target="colorspace-type" format="counter"/>, <xref target="bits-per-raw-sample" format="counter"/>, and <xref target="coder-type" format="counter"/>), the following median predictor <bcp14>MUST</bcp14> be used:</t>
          <artwork type="ascii-art"><![CDATA[
median(left16s, top16s, left16s + top16s - diag16s)
]]></artwork>
          <t>where:</t>
          <artwork type="ascii-art"><![CDATA[
left16s = l  >= 32768 ? ( l  - 65536 ) : l
top16s  = t  >= 32768 ? ( t  - 65536 ) : t
diag16s = tl >= 32768 ? ( tl - 65536 ) : tl
]]></artwork>
<!-- [rfced]  FYI  We have updated the following passage to improve
readability. Please let us know if any other changes are necessary.
Note that [ISO.15444-1.2016] has been withdrawn and updated by
ISO/IEC 15444-1:2019.

Original:
   Note that when the issue was discovered,
   the only configuration of all known implementations being impacted is
   16-bit YCbCr with no Pixel transformation with Range Coder coder, as
   other potentially impacted configurations (e.g. 15/16-bit
   JPEG2000-RCT with Range Coder coder, or 16-bit content with Golomb
   Rice coder) were implemented nowhere [ISO.15444-1.2016].  In the
   meanwhile, 16-bit JPEG2000-RCT with Range Coder coder was implemented
   without this issue in one implementation and validated by one
   conformance checker.

Current:
   Note that when the issue was discovered,
   the only impacted configuration of all known implementations was the
   16-bit YCbCr with no pixel transformation and with the Range Coder
   coder type, as the other potentially impacted configurations (e.g.,
   the 15/16-bit JPEG 2000 Reversible Color Transform (RCT)
   [ISO.15444-1.2016] with Range Coder or the 16-bit content with the
   Golomb Rice coder type) were not implemented.  Meanwhile, the 16-bit
   JPEG 2000 RCT with Range Coder was deployed without this issue in one
   implementation and validated by one conformance checker.
-->
          <t>Background: a two's complement 16-bit signed integer was used for storing Sample values in all known implementations of FFV1 bitstream (see  <xref target="ffv1-implementations"/>). So in some circumstances, the most significant bit was wrongly interpreted (used as a sign bit instead of the 16th bit of an unsigned integer). Note that when the issue was discovered, the only impacted configuration of all known implementations was the 16-bit YCbCr with no pixel transformation and with the Range Coder range coder coder type, as the other potentially impacted configurations (e.g., the 15/16-bit JPEG 2000 Reversible Color Transform (RCT) <xref target="ISO.15444-1.2016"/> target="ISO.15444-1.2019"/> with Range Coder range coder or the 16-bit content with the Golomb Rice coder type) were not implemented. Meanwhile, the 16-bit JPEG 2000 RCT with Range Coder range coder was deployed without this issue in one implementation and validated by one conformance checker. It is expected (to be confirmed) that this exception for the median predictor will be removed in the next version of the FFV1 bitstream.</t>
        </section>
      </section>
      <section anchor="quantization-table-sets">
        <name>Quantization Table Sets</name>
<!-- [rfced]  We note that the following terms are inconsistently
capitalized. How would you like them to be formatted?

Current:
   sample difference - 5 instances
   Sample Difference - 6 instances

   Slice - 34 instances
   slice - 44 instances

   Transparency - 5 instances
   transparency - 6 instances

   range coder - 4 instances
   Range Coder - 6 instances
   Range coder - 11 instances
-->
        <t>Quantization Tables are used on Sample Differences (see <xref target="coding-of-the-sample-difference"/>), so Quantized Sample Differences are stored in the bitstream.</t>
        <t>The FFV1 bitstream contains one or more Quantization Table Sets. Each Quantization Table Set contains exactly five Quantization Tables with each Quantization Table corresponding to one of the five Quantized Sample Differences. For each Quantization Table, both the number of quantization steps and their distribution are stored in the FFV1 bitstream; each Quantization Table has exactly 256 entries, and the eight least significant bits of the Quantized Sample Difference are used as an index:</t>
        <figure>
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type="svg" alt="svg" name="quantization table sets"/>
            <artwork type="ascii-art"><![CDATA[
Q_j[k] = quant_tables[i][j][k&255]
]]></artwork>
          </artset>
        </figure>
        <t>In this formula, <tt>i</tt> is the Quantization Table Set index, <tt>j</tt> is the Quantized Table index, and <tt>k</tt> is the Quantized Sample Difference (see <xref target="quant-tables"/>).</t>
      </section>
      <section anchor="context">
        <name>Context</name>
        <t>Relative to any Sample <tt>X</tt>, the Quantized Sample Differences <tt>L-l</tt>, <tt>l-tl</tt>, <tt>tl-t</tt>, <tt>T-t</tt>, and <tt>t-tr</tt> are used as context:</t>

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        <figure>
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type="svg" alt="svg" name="context"/>
            <artwork type="ascii-art"><![CDATA[
context = Q_0[l - tl] +
          Q_1[tl - t] +
          Q_2[t - tr] +
          Q_3[L - l]  +
          Q_4[T - t]
]]></artwork>
          </artset>
        </figure>
        <t>If <tt>context &gt;= 0</tt> then <tt>context</tt> is used, and the difference between the Sample and its predicted value is encoded as is; else <tt>-context</tt> is used, and the difference between the Sample and its predicted value is encoded with a flipped sign.</t>
      </section>
      <section anchor="quantization-table-set-indexes">
        <name>Quantization Table Set Indexes</name>
        <t>For each Plane of each slice, Slice, a Quantization Table Set is selected from an index:</t>
        <ul>
          <li>For Y Plane, <tt>quant_table_set_index[ 0 ]</tt> index is used.</li>
          <li>For Cb and Cr Planes, <tt>quant_table_set_index[ 1 ]</tt> index is used.</li>
          <li>For extra Plane, <tt>quant_table_set_index[ (version &lt;= 3 || chroma_planes) ? 2 : 1 ]</tt> index is used.</li>
        </ul>
        <t>Background: in the first implementations of the FFV1 bitstream, the index for Cb and Cr Planes was stored even if it was not used (<tt>chroma_planes</tt> set to 0), this index is kept for <tt>version &lt;= 3</tt> in order to keep compatibility with FFV1 bitstreams in the wild.</t>
      </section>
      <section anchor="color-spaces">
        <name>Color Spaces</name>
        <t>FFV1 supports several color spaces. The count of allowed coded Planes and the meaning of the extra Plane are determined by the selected color space.</t>
        <t>The FFV1 bitstream interleaves data in an order determined by the color space. In YCbCr for each Plane, each Line is coded from top to bottom, and for each Line, each Sample is coded from left to right. In JPEG 2000 RCT for each Line from top to bottom, each Plane is coded, and for each Plane, each Sample is encoded from left to right.</t>
        <section anchor="ycbcr">
          <name>YCbCr</name>
          <t>This color space allows one to four Planes.</t>
          <t>The Cb and Cr Planes are optional, but if they are used, then they <bcp14>MUST</bcp14> be used together. Omitting the Cb and Cr Planes codes the frames in gray scale without color data.</t>
          <t>An optional transparency Plane can be used to code transparency data.</t>
          <t>An FFV1 Frame using YCbCr <bcp14>MUST</bcp14> use one of the following arrangements:</t>
          <ul>
            <li>Y</li>
            <li>Y, Transparency</li>
            <li>Y, Cb, Cr</li>
            <li>Y, Cb, Cr, Transparency</li>
          </ul>
          <t>The Y Plane <bcp14>MUST</bcp14> be coded first. If the Cb and Cr Planes are used, then they <bcp14>MUST</bcp14> be coded after the Y Plane. If a transparency Plane is used, then it <bcp14>MUST</bcp14> be coded last.</t>
        </section>
        <section anchor="rgb">
          <name>RGB</name>
          <t>This color space allows three or four Planes.</t>
          <t>An optional transparency Plane can be used to code transparency data.</t>
          <t>JPEG 2000 RCT is a Reversible Color Transform that codes RGB (Red, Green, Blue) Planes losslessly in a modified YCbCr color space <xref target="ISO.15444-1.2016"/>. target="ISO.15444-1.2019"/>. Reversible pixel transformations between YCbCr and RGB use the following formulae:</t>
          <figure anchor="figureRgbYcbcr">
            <name>Description of the transformation of pixels from RGB color space to coded, modified YCbCr color space. </name>
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type="svg" alt="svg" name="rgb 1"/>
              <artwork type="ascii-art"><![CDATA[
Cb = b - g
Cr = r - g
Y = g + (Cb + Cr) >> 2
]]></artwork>
            </artset>
          </figure>
          <figure anchor="figureYcbcrRgb">
            <name>Description of the transformation of pixels from coded, modified YCbCr color space to RGB color space. </name>
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type="svg" alt="svg" name="rgb 2"/>
              <artwork type="ascii-art"><![CDATA[
g = Y - (Cb + Cr) >> 2
r = Cr + g
b = Cb + g
]]></artwork>
            </artset>
          </figure>
          <t>Cb and Cr are positively offset by <tt>1 &lt;&lt; bits_per_raw_sample</tt> after the conversion from RGB to the modified YCbCr, and they are negatively offset by the same value before the conversion from the modified YCbCr to RGB in order to have only nonnegative values after the conversion.</t>
          <t>When FFV1 uses the JPEG 2000 RCT, the horizontal Lines are interleaved to improve caching efficiency since it is most likely that the JPEG 2000 RCT will immediately be converted to RGB during decoding. The interleaved coding order is also Y, then Cb, then Cr, and then, if used, transparency.</t>
          <t>As an example, a Frame that is two pixels wide and two pixels high could comprise the following structure:</t>
          <artwork type="ascii-art"><![CDATA[
+------------------------+------------------------+
| Pixel(1,1)             | Pixel(2,1)             |
| Y(1,1) Cb(1,1) Cr(1,1) | Y(2,1) Cb(2,1) Cr(2,1) |
+------------------------+------------------------+
| Pixel(1,2)             | Pixel(2,2)             |
| Y(1,2) Cb(1,2) Cr(1,2) | Y(2,2) Cb(2,2) Cr(2,2) |
+------------------------+------------------------+
]]></artwork>
          <t>In JPEG 2000 RCT, the coding order is left to right and then top to bottom, with values interleaved by Lines and stored in this order:</t>
          <t>Y(1,1) Y(2,1) Cb(1,1) Cb(2,1) Cr(1,1) Cr(2,1) Y(1,2) Y(2,2) Cb(1,2) Cb(2,2) Cr(1,2) Cr(2,2)</t>
          <section anchor="exception-1">
            <name>Exception</name>
            <t>If <tt>bits_per_raw_sample</tt> is between 9 and 15 inclusive and <tt>extra_plane</tt> is 0, the following formulae for reversible conversions between YCbCr and RGB <bcp14>MUST</bcp14> be used instead of the ones above:</t>
            <figure anchor="figureRgbYcbcrException">
              <name>Description of the transformation of pixels from RGB color space to coded, modified YCbCr color space (in case of exception). </name>
              <artset>
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type="svg" alt="svg" name="rgb 3"/>
                <artwork type="ascii-art"><![CDATA[
Cb = g - b
Cr = r - b
Y = b + (Cb + Cr) >> 2
]]></artwork>
              </artset>
            </figure>
            <figure anchor="figureYcbcrRgbException">
              <name>Description of the transformation of pixels from coded, modified YCbCr color space to RGB color space (in case of exception). </name>
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type="svg" alt="svg" name="rgb 4"/>
                <artwork type="ascii-art"><![CDATA[
b = Y - (Cb + Cr) >> 2
r = Cr + b
g = Cb + b
]]></artwork>
              </artset>
            </figure>
<!-- [rfced]  In the following sentence, do the acronyms expand
to colors?

Current:
   GBR Planes were used as BGR Planes during both encoding and decoding.

Perhaps:
  Green Blue Red (GBR) Planes were used as Blue Green Red (BGR) Planes...
-->
            <t>Background: At the time of this writing, in all known implementations of the FFV1 bitstream, when <tt>bits_per_raw_sample</tt> was between 9 and 15 inclusive and <tt>extra_plane</tt> was 0, GBR Planes were used as BGR Planes during both encoding and decoding. Meanwhile, 16-bit JPEG 2000 RCT was implemented without this issue in one implementation and validated by one conformance checker. Methods to address this exception for the transform are under consideration for the next version of the FFV1 bitstream.</t>
          </section>
        </section>
      </section>
      <section anchor="coding-of-the-sample-difference">
        <name>Coding of the Sample Difference</name>

        <t>Instead of coding the n+1 bits of the Sample Difference with Huffman or Range coding (or n+2 bits, in the case of JPEG 2000 RCT), only the n (or n+1, in the case of JPEG 2000 RCT) least significant bits are used, since this is sufficient to recover the original Sample. In <xref target="figureSampleDifference" format="default"/>, the term <tt>bits</tt> represents <tt>bits_per_raw_sample + 1</tt> for JPEG 2000 RCT or <tt>bits_per_raw_sample</tt> otherwise:</t>
        <figure anchor="figureSampleDifference">
          <name>Description of the coding of the Sample Difference in the bitstream. </name>
          <artset>
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type="svg" alt="svg" name="coding of the sample difference"/>
            <artwork type="ascii-art"><![CDATA[
coder_input = ((sample_difference + 2 ^ (bits - 1)) &
              (2 ^ bits - 1)) - 2 ^ (bits - 1)
]]></artwork>
          </artset>
        </figure>
        <section anchor="range-coding-mode">
          <name>Range Coding Mode</name>
          <t>Early experimental versions of FFV1 used the Context-Adaptive Binary Arithmetic Coding (CABAC) coder from H.264 as defined in <xref target="ISO.14496-10.2014"/>, but due to the uncertain patent/royalty situation, as well as its slightly worse performance, CABAC was replaced by a Range range coder based on an algorithm defined by <contact fullname="G. Nigel N. Martin"/> in 1979 <xref target="Range-Encoding"/>.</t>
          <section anchor="range-binary-values">
            <name>Range Binary Values</name>
            <t>To encode binary digits efficiently, a Range range coder is used. A Range range coder encodes a series of binary symbols by using a probability estimation within each context. The sizes of each of the two subranges are proportional to their estimated probability. The Quantization Table is used to choose the context used from the surrounding image sample values for the case of coding the sample differences. Sample Differences. The coding of integers is done by coding multiple binary values. The range decoder will read bytes until it can determine into which subrange the input falls to return the next binary symbol.</t>
            <t>To describe Range coding for FFV1, the following values are used:</t>
            <dl>
              <dt>C<sub>i</sub></dt>
              <dd>the i-th context.</dd>
              <dt>B<sub>i</sub></dt>
              <dd>the i-th byte of the bytestream.</dd>
              <dt>R<sub>i</sub></dt>
              <dd>the Range at the i-th symbol.</dd>
              <dt>r<sub>i</sub></dt>
              <dd>the boundary between two subranges of R<sub>i</sub>: a subrange of r<sub>i</sub> values and a subrange R<sub>i</sub> - r<sub>i</sub> values.</dd>
              <dt>L<sub>i</sub></dt>
              <dd>the Low value of the Range at the i-th symbol.</dd>
              <dt>l<sub>i</sub></dt>
              <dd>a temporary variable to carry over or adjust the Low value of the Range between range coding operations.</dd>
              <dt>t<sub>i</sub></dt>
              <dd>a temporary variable to transmit subranges between range coding operations.</dd>
              <dt>b<sub>i</sub></dt>
              <dd>the i-th range-coded binary value.</dd>
              <dt>S<sub>0, i</sub></dt>
              <dd>the i-th initial state.</dd>
              <dt>j<sub>n</sub></dt>
              <dd>the length of the bytestream encoding n binary symbols.</dd>
            </dl>
            <t>The following Range range coder state variables are initialized to the following values. The Range is initialized to a value of 65,280 (expressed in base 16 as 0xFF00) as depicted in <xref target="figureInitializeRange"/>. The Low is initialized according to the value of the first two bytes as depicted in <xref target="figureInitializeLow"/>. j<sub>i</sub> tracks the length of the bytestream encoding while incrementing from an initial value of j<sub>0</sub> to a final value of j<sub>n</sub>. j<sub>0</sub> is initialized to 2 as depicted in <xref target="figureInitializeLength"/>.</t>
            <figure anchor="figureInitializeRange">
              <name>The initial value for the Range. </name>
              <artset>
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type="svg" alt="svg" name="range binary values 5"/>
                <artwork type="ascii-art"><![CDATA[
R_0 = 65280
]]></artwork>
              </artset>
            </figure>
            <figure anchor="figureInitializeLow">
              <name>The initial value for Low is set according to the first two bytes of the bytestream. </name>
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type="svg" alt="svg" name="range binary values 6"/>
                <artwork type="ascii-art"><![CDATA[
L_0 = 2 ^ 8 * B_0 + B_1
]]></artwork>
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            </figure>
            <figure anchor="figureInitializeLength">
              <name>The initial value for j, the length of the bytestream encoding. </name>
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j_0 = 2
]]></artwork>
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            </figure>
            <t>The following equations define how the Range range coder variables evolve as it reads or writes symbols.</t>
            <figure anchor="figureGetRacFormula">
              <name>This formula shows the positioning of range split based on the state. </name>
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type="svg" alt="svg" name="range binary values 1"/>
                <artwork type="ascii-art"><![CDATA[
r_i = floor( ( R_i * S_(i, C_i) ) / 2 ^ 8 )
]]></artwork>
              </artset>
            </figure>
            <figure>
              <name>This formula shows the linking of the decoded symbol (represented as b<sub>i</sub>), the updated state (represented as S<sub>i+1,C<sub>i</sub></sub>), and the updated range (represented as a range from l<sub>i</sub> to t<sub>i</sub>).
</name>
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type="svg" alt="svg" name="range binary values 2"/>
                <artwork type="ascii-art"><![CDATA[
           b_i =  0                        <==>
           L_i <  R_i - r_i                ==>
S_(i + 1, C_i) =  zero_state_(S_(i, C_i))  AND
           l_i =  L_i                      AND
           t_i =  R_i - r_i

           b_i =  1                        <==>
           L_i >= R_i - r_i                ==>
S_(i + 1, C_i) =  one_state_(S_(i, C_i))   AND
           l_i =  L_i - R_i + r_i          AND
           t_i =  r_i
]]></artwork>
              </artset>
            </figure>
            <figure>
              <name>If the value of <tt>k</tt> is unequal to the i-th value of context, in other words, if the state is unchanged from the last symbol coding, then the value of the state is carried over to the next symbol coding.
</name>
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type="svg" alt="svg" name="range binary values 3"/>
                <artwork type="ascii-art"><![CDATA[
C_i != k ==> S_(i + 1, k) = S_(i, k)
]]></artwork>
              </artset>
            </figure>
            <figure>
              <name>This formula shows the linking of the Range range coder with the reading or writing of the bytestream.
</name>
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type="svg" alt="svg" name="range binary values 4"/>
                <artwork type="ascii-art"><![CDATA[
t_i     <  2 ^ 8                           ==>
R_(i + 1) =  2 ^ 8 * t_i                   AND
L_(i + 1) =  2 ^ 8 * l_i + B_(j_i)         AND
j_(i + 1) =  j_i + 1

t_i     >= 2 ^ 8                           ==>
R_(i + 1) =  t_i                           AND
L_(i + 1) =  l_i                           AND
j_(i + 1) =  j_i
]]></artwork>
              </artset>
            </figure>
            <figure>
              <name>A pseudocode description of the initialization of Range range coder variables in Range binary mode.
</name>
              <sourcecode type="c"><![CDATA[
    range = 0xFF00;
    end   = 0;
    low   = get_bits(16);
    if (low >= range) {
        low = range;
        end = 1;
    }
]]></sourcecode>
            </figure>
<!-- [rfced]  FYI  We have updated the following figure title to
improve readability. Please let us know if other changes are
necessary.

Original:
     Figure 19: A pseudocode description of refilling the Range Binary
                            Value coder buffer.
Current:
     Figure 19: A pseudocode description of refilling the binary value
                         buffer of the Range coder.
-->
            <figure>
              <name>A pseudocode description of refilling the binary value buffer of the Range range coder.
</name>
              <sourcecode type="c"><![CDATA[
refill() {
    if (range < 256) {
        range = range * 256;
        low   = low * 256;
        if (!end) {
            c.low += get_bits(8);
            if (remaining_bits_in_bitstream( NumBytes ) == 0) {
                end = 1;
            }
        }
    }
}
]]></sourcecode>
            </figure>
            <figure anchor="figureGetRacPseudoCode">
              <name>A pseudocode description of the read of a binary value in Range binary mode. </name>
              <sourcecode type="c"><![CDATA[
get_rac(state) {
    rangeoff  = (range * state) / 256;
    range    -= rangeoff;
    if (low < range) {
        state = zero_state[state];
        refill();
        return 0;
    } else {
        low   -= range;
        state  = one_state[state];
        range  = rangeoff;
        refill();
        return 1;
    }
}
]]></sourcecode>
            </figure>
            <section anchor="termination">
              <name>Termination</name>
              <t>The range coder can be used in three modes:</t>
              <ul>
                <li>
                  <t>In Open mode when decoding, every symbol the reader attempts to read is available. In this mode, arbitrary data can have been appended without affecting the range coder output. This mode is not used in FFV1.</t>
                </li>
                <li>
                  <t>In Closed mode, the length in bytes of the bytestream is provided to the range decoder. Bytes beyond the length are read as 0 by the range decoder. This is generally one byte shorter than the Open mode.</t>
                </li>
                <li>
                  <t>In Sentinel mode, the exact length in bytes is not known, and thus the range decoder <bcp14>MAY</bcp14> read into the data that follows the range-coded bytestream by one byte. In Sentinel mode, the end of the range-coded bytestream is a binary symbol with state 129, which value <bcp14>SHALL</bcp14> be discarded. After reading this symbol, the range decoder will have read one byte beyond the end of the range-coded bytestream. This way the byte position of the end can be determined. Bytestreams written in Sentinel mode can be read in Closed mode if the length can be determined. In this case, the last (sentinel) symbol will be read uncorrupted and be of value 0.</t>
                </li>
              </ul>
              <t>The above describes the range decoding. Encoding is defined as any process that produces a decodable bytestream.</t>
              <t>There are three places where range coder termination is needed in FFV1.
The first is in the <tt>Configuration Record</tt>, which in this case the size of the range-coded bytestream is known and handled as Closed mode.
The second is the switch from the <tt>Slice Header</tt>, which is range coded to Golomb-coded slices Slices as Sentinel mode.
The third is the end of range-coded slices, Slices, which need to terminate before the CRC at their end. This can be handled as Sentinel mode or as Closed mode if the CRC position has been determined.</t>
            </section>
          </section>
          <section anchor="range-non-binary-values">
            <name>Range Nonbinary Values</name>
<!-- [rfced]  FYI  We have updated the following sentence to improve
readability.  Please let us know if other changes are necessary.

Original:
   Alternatively assuming a Laplacian distribution
   and only dealing with its variance and mean (as in Huffman coding)
   would also be possible, however, for maximum flexibility and
   simplicity, the chosen method uses a single Symbol to encode if a
   number is 0, and if not, encodes the number using its exponent,
   mantissa and sign.

Current:
   Alternatively, it would also be
   possible to assume a Laplacian distribution and only deal with its
   variance and mean (as in Huffman coding).  However, for maximum
   flexibility and simplicity, the chosen method uses a single symbol to
   encode if a number is 0, and handled as Sentinel mode or as Closed mode if the number is nonzero, it encodes the
   number using its exponent, mantissa, and sign.
--> CRC position has been determined.</t>
            </section>
          </section>
          <section anchor="range-non-binary-values">
            <name>Range Nonbinary Values</name>
            <t>To encode scalar integers, it would be possible to encode each bit separately and use the past bits as context. However, that would mean 255 contexts per 8-bit symbol, which is not only a waste of memory but also requires more past data to reach a reasonably good estimate of the probabilities. Alternatively, it would also be possible to assume a Laplacian distribution and only deal with its variance and mean (as in Huffman coding). However, for maximum flexibility and simplicity, the chosen method uses a single symbol to encode if a number is 0, and if the number is nonzero, it encodes the number using its exponent, mantissa, and sign. The exact contexts used are best described by <xref target="figureRangeNonBinaryValueExample"/>.</t>
            <figure anchor="figureRangeNonBinaryValueExample">
              <name>A pseudocode description of the contexts of Range nonbinary values. </name>
              <sourcecode type="c"><![CDATA[
int get_symbol(RangeCoder *c, uint8_t *state, int is_signed) {
    if (get_rac(c, state + 0) {
        return 0;
    }

    int e = 0;
    while (get_rac(c, state + 1 + min(e, 9)) { //1..10
        e++;
    }

    int a = 1;
    for (int i = e - 1; i >= 0; i--) {
        a = a * 2 + get_rac(c, state + 22 + min(i, 9));  // 22..31
    }

    if (!is_signed) {
        return a;
    }

    if (get_rac(c, state + 11 + min(e, 10))) { //11..21
        return -a;
    } else {
        return a;
    }
}
]]></sourcecode>
            </figure>
            <t><tt>get_symbol</tt> is used for the read out of <tt>sample_difference</tt> indicated in <xref target="figureSampleDifference"/>.</t>
            <t><tt>get_rac</tt> returns a boolean computed from the bytestream as described by the formula found in <xref target="figureGetRacFormula"/> and by the pseudocode found in <xref target="figureGetRacPseudoCode"/>.</t>
          </section>
          <section anchor="initial-values-for-the-context-model">
            <name>Initial Values for the Context Model</name>
            <t>When the <tt>keyframe</tt> value (see <xref target="frame"/>) is 1, all Range range coder state variables are set to their initial state.</t>
          </section>
          <section anchor="state-transition-table">
            <name>State Transition Table</name>
            <t>In this model, a state transition table is used, indicating to which state the decoder will move based on the current state and the value extracted from <xref target="figureGetRacPseudoCode"/>.</t>
            <figure>
              <artset>
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type="svg" alt="svg" name="state transition table 1"/>
                <artwork type="ascii-art"><![CDATA[
one_state_i =
       default_state_transition_i + state_transition_delta_i
]]></artwork>
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            </figure>
            <figure>
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type="svg" alt="svg" name="state transition table 2"/>
                <artwork type="ascii-art"><![CDATA[
zero_state_i = 256 - one_state_(256-i)
]]></artwork>
              </artset>
            </figure>
          </section>
          <section anchor="default-state-transition">
            <name>default_state_transition</name>
            <t>By default, the following state transition table is used:</t>
<figure>
            <artwork type="ascii-art"><![CDATA[
  0,  0,  0,  0,  0,  0,  0,  0, 20, 21, 22, 23, 24, 25, 26, 27,

 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42,

 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 56, 57,

 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73,

 74, 75, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88,

 89, 90, 91, 92, 93, 94, 94, 95, 96, 97, 98, 99,100,101,102,103,

104,105,106,107,108,109,110,111,112,113,114,114,115,116,117,118,

119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,133,

134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,

150,151,152,152,153,154,155,156,157,158,159,160,161,162,163,164,

165,166,167,168,169,170,171,171,172,173,174,175,176,177,178,179,

180,181,182,183,184,185,186,187,188,189,190,190,191,192,194,194,

195,196,197,198,199,200,201,202,202,204,205,206,207,208,209,209,

210,211,212,213,215,215,216,217,218,219,220,220,222,223,224,225,

226,227,227,229,229,230,231,232,234,234,235,236,237,238,239,240,

241,242,243,244,245,246,247,248,248,  0,  0,  0,  0,  0,  0,  0,
]]></artwork>
</figure>
          </section>
          <section anchor="alternative-state-transition-table">
            <name>Alternative State Transition Table</name>
            <t>The alternative state transition table has been built using iterative minimization of frame sizes and generally performs better than the default. To use it, the <tt>coder_type</tt> (see <xref target="coder-type"/>) <bcp14>MUST</bcp14> be set to 2, and the difference to the default <bcp14>MUST</bcp14> be stored in the <tt>Parameters</tt>, see <xref target="parameters"/>. At the time of this writing, the reference implementation of FFV1 in FFmpeg uses <xref target="figureAltStateTransition"/> by default when Range coding is used.</t>
            <figure anchor="figureAltStateTransition">
              <name>Alternative state transition table for Range coding. </name>
              <artwork type="ascii-art"><![CDATA[
  0, 10, 10, 10, 10, 16, 16, 16, 28, 16, 16, 29, 42, 49, 20, 49,

 59, 25, 26, 26, 27, 31, 33, 33, 33, 34, 34, 37, 67, 38, 39, 39,

 40, 40, 41, 79, 43, 44, 45, 45, 48, 48, 64, 50, 51, 52, 88, 52,

 53, 74, 55, 57, 58, 58, 74, 60,101, 61, 62, 84, 66, 66, 68, 69,

 87, 82, 71, 97, 73, 73, 82, 75,111, 77, 94, 78, 87, 81, 83, 97,

 85, 83, 94, 86, 99, 89, 90, 99,111, 92, 93,134, 95, 98,105, 98,

105,110,102,108,102,118,103,106,106,113,109,112,114,112,116,125,

115,116,117,117,126,119,125,121,121,123,145,124,126,131,127,129,

165,130,132,138,133,135,145,136,137,139,146,141,143,142,144,148,

147,155,151,149,151,150,152,157,153,154,156,168,158,162,161,160,

172,163,169,164,166,184,167,170,177,174,171,173,182,176,180,178,

175,189,179,181,186,183,192,185,200,187,191,188,190,197,193,196,

197,194,195,196,198,202,199,201,210,203,207,204,205,206,208,214,

209,211,221,212,213,215,224,216,217,218,219,220,222,228,223,225,

226,224,227,229,240,230,231,232,233,234,235,236,238,239,237,242,

241,243,242,244,245,246,247,248,249,250,251,252,252,253,254,255,
]]></artwork>
            </figure>
          </section>
        </section>
        <section anchor="golomb-rice-mode">
          <name>Golomb Rice Mode</name>
<!-- [rfced]  Would the following improve readability?

Current:
   The end of the bitstream of the Frame is padded with 0-bits until the
   bitstream contains a multiple of eight bits.

Perhaps:
   The end of the bitstream of the Frame is padded with zeroes until the
   bitstream contains a multiple of eight bits.
-->
          <t>The end of the bitstream of the Frame is padded with 0-bits zeroes until the bitstream contains a multiple of eight bits.</t>
          <section anchor="signed-golomb-rice-codes">
            <name>Signed Golomb Rice Codes</name>
            <t>This coding mode uses Golomb Rice codes. The VLC is split into two parts. The prefix stores the most significant bits, and the suffix stores the k least significant bits or stores the whole number in the ESC case (see <xref target="prefix" format="default"/>).</t>
            <figure>
              <name>A pseudocode description of the read of an unsigned integer in Golomb Rice mode.
</name>
              <sourcecode type="c"><![CDATA[
int get_ur_golomb(k) {
    for (prefix = 0; prefix < 12; prefix++) {
        if (get_bits(1)) {
            return get_bits(k) + (prefix << k);
        }
    }
    return get_bits(bits) + 11;
}
]]></sourcecode>
            </figure>
            <figure>
              <name>A pseudocode description of the read of a signed integer in Golomb Rice mode.
</name>
              <sourcecode type="c"><![CDATA[
int get_sr_golomb(k) {
    v = get_ur_golomb(k);
    if (v & 1) return - (v >> 1) - 1;
    else       return   (v >> 1);
}
]]></sourcecode>
            </figure>
            <section anchor="prefix">
              <name>Prefix</name>
              <table>
                <thead>
                  <tr>
                    <th align="left">bits</th>
                    <th align="left">value</th>
                  </tr>
                </thead>
                <tbody>
                  <tr>
                    <td align="left">1</td>
                    <td align="left">0</td>
                  </tr>
                  <tr>
                    <td align="left">01</td>
                    <td align="left">1</td>
                  </tr>
                  <tr>
                    <td align="left">...</td>
                    <td align="left">...</td>
                  </tr>
                  <tr>
                    <td align="left">0000 0000 01</td>
                    <td align="left">9</td>
                  </tr>
                  <tr>
                    <td align="left">0000 0000 001</td>
                    <td align="left">10</td>
                  </tr>
                  <tr>
                    <td align="left">0000 0000 0001</td>
                    <td align="left">11</td>
                  </tr>
                  <tr>
                    <td align="left">0000 0000 0000</td>
                    <td align="left">ESC</td>
                  </tr>
                </tbody>
              </table>
              <t>ESC is an ESCape symbol to indicate that the symbol to be stored is too large for normal storage and that an alternate storage method is used.</t>
            </section>
            <section anchor="suffix">
              <name>Suffix</name>
<!-- [rfced]  Do Tables 1 and 2 contain contradictory information
about ESC, or does ESC have different values depending on whether
it's used as a prefix or suffix?

Also: Would you like to provide information for a header row for Table 2?

Current:
                        ....
                        | 0000 0000 0001 | 11    |
                        | 0000 0000 0000 | ESC   |

                                 Table 1

           | non-ESC   | the k least significant bits MSB first |
           |  ESC      | the value - 11, in MSB first order     |

                                 Table 2
-->
              <table>
                <tbody>
                  <tr>
                    <td align="left">non-ESC</td>
                    <td align="left">the k least significant bits MSB first</td>
                  </tr>
                  <tr>
                    <td align="left">ESC</td>
                    <td align="left">the value - 11, in MSB first order</td>
                  </tr>
                </tbody>
              </table>
              <t>ESC <bcp14>MUST NOT</bcp14> be used if the value can be coded as non-ESC.</t>
            </section>
            <section anchor="examples">
              <name>Examples</name>
              <t><xref target="tableGolombExamples"/> shows practical examples of how signed Golomb Rice codes are decoded based on the series of bits extracted from the bitstream as described by the method above:</t>
              <table anchor="tableGolombExamples">
                <name>Examples of decoded, signed Golomb Rice codes. </name>
                <thead>
                  <tr>
                    <th align="center">k</th>
                    <th align="left">bits</th>
                    <th align="right">value</th>
                  </tr>
                </thead>
                <tbody>
                  <tr>
                    <td align="center">0</td>
                    <td align="left">
                      <tt>1</tt>
                    </td>
                    <td align="right">0</td>
                  </tr>
                  <tr>
                    <td align="center">0</td>
                    <td align="left">
                      <tt>001</tt>
                    </td>
                    <td align="right">2</td>
                  </tr>
                  <tr>
                    <td align="center">2</td>
                    <td align="left">
                      <tt>1 00</tt>
                    </td>
                    <td align="right">0</td>
                  </tr>
                  <tr>
                    <td align="center">2</td>
                    <td align="left">
                      <tt>1 10</tt>
                    </td>
                    <td align="right">2</td>
                  </tr>
                  <tr>
                    <td align="center">2</td>
                    <td align="left">
                      <tt>01 01</tt>
                    </td>
                    <td align="right">5</td>
                  </tr>
                  <tr>
                    <td align="center">any</td>
                    <td align="left">
                      <tt>000000000000 10000000</tt>
                    </td>
                    <td align="right">139</td>
                  </tr>
                </tbody>
              </table>
            </section>
          </section>
          <section anchor="run-mode">
            <name>Run Mode</name>
            <t>Run mode is entered when the context is 0 and left as soon as a nonzero difference is found. The sample difference Sample Difference is identical to the predicted one. The run and the first different sample difference Sample Difference are coded as defined in <xref target="golomb-rice-sample-difference-coding"/>.</t>
            <section anchor="run-length-coding">
              <name>Run Length Coding</name>
              <t>The run value is encoded in two parts. The prefix part stores the more significant part of the run as well as adjusting the <tt>run_index</tt> that determines the number of bits in the less significant part of the run. The second part of the value stores the less significant part of the run as it is. The <tt>run_index</tt> is reset to zero for each Plane and slice.</t> Slice.</t>
              <sourcecode type="c"><![CDATA[
log2_run[41] = {
 0, 0, 0, 0, 1, 1, 1, 1,
 2, 2, 2, 2, 3, 3, 3, 3,
 4, 4, 5, 5, 6, 6, 7, 7,
 8, 9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,
24,
};

if (run_count == 0 && run_mode == 1) {
    if (get_bits(1)) {
        run_count = 1 << log2_run[run_index];
        if (x + run_count <= w) {
            run_index++;
        }
    } else {
        if (log2_run[run_index]) {
            run_count = get_bits(log2_run[run_index]);
        } else {
            run_count = 0;
        }
        if (run_index) {
            run_index--;
        }
        run_mode = 2;
    }
}
]]></sourcecode>
              <t>The <tt>log2_run</tt> array is also used within <xref target="ISO.14495-1.1999"/>.</t>
            </section>
          </section>
          <section anchor="sign-extension">
            <name>Sign Extension</name>
            <t><tt>sign_extend</tt> is the function of increasing the number of bits of an input binary number in two's complement signed number representation while preserving the input number's sign (positive/negative) and value, in order to fit in the output bit width. It <bcp14>MAY</bcp14> be computed with the following:</t>
            <sourcecode type="c"><![CDATA[
sign_extend(input_number, input_bits) {
    negative_bias = 1 << (input_bits - 1);
    bits_mask = negative_bias - 1;
    output_number = input_number & bits_mask; // Remove negative bit
    is_negative = input_number & negative_bias; // Test negative bit
    if (is_negative)
        output_number -= negative_bias;
    return output_number
}
]]></sourcecode>
          </section>
          <section anchor="scalar-mode">
            <name>Scalar Mode</name>
            <t>Each difference is coded with the per context mean prediction removed and a per context value for <tt>k</tt>.</t>
            <sourcecode type="c"><![CDATA[
get_vlc_symbol(state) {
    i = state->count;
    k = 0;
    while (i < state->error_sum) {
        k++;
        i += i;
    }

    v = get_sr_golomb(k);

    if (2 * state->drift < -state->count) {
        v = -1 - v;
    }

    ret = sign_extend(v + state->bias, bits);

    state->error_sum += abs(v);
    state->drift     += v;

    if (state->count == 128) {
        state->count     >>= 1;
        state->drift     >>= 1;
        state->error_sum >>= 1;
    }
    state->count++;
    if (state->drift <= -state->count) {
        state->bias = max(state->bias - 1, -128);

        state->drift = max(state->drift + state->count,
                           -state->count + 1);
    } else if (state->drift > 0) {
        state->bias = min(state->bias + 1, 127);

        state->drift = min(state->drift - state->count, 0);
    }

    return ret;
}
]]></sourcecode>
            <section anchor="golomb-rice-sample-difference-coding">
              <name>Golomb Rice Sample Difference Coding</name>
              <t>Level coding is identical to the normal difference coding with the exception that the 0 value is removed as it cannot occur:</t>
              <sourcecode type="c"><![CDATA[
    diff = get_vlc_symbol(context_state);
    if (diff >= 0) {
        diff++;
    }
]]></sourcecode>
              <t>Note that this is different from JPEG-LS (lossless JPEG), which doesn't use prediction in run mode and uses a different encoding and context model for the last difference. On a small set of test Samples, the use of prediction slightly improved the compression rate.</t>
            </section>
          </section>
          <section anchor="initial-values-for-the-vlc-context-state">
            <name>Initial Values for the VLC Context State</name>
            <t>When <tt>keyframe</tt> (see <xref target="frame"/>) value is 1, all VLC coder state variables are set to their initial state.</t>
            <sourcecode type="c"><![CDATA[
    drift     = 0;
    error_sum = 4;
    bias      = 0;
    count     = 1;
]]></sourcecode>
          </section>
        </section>
      </section>
    </section>
    <section anchor="bitstream">
      <name>Bitstream</name>
      <t>An FFV1 bitstream is composed of a series of one or more Frames and (when required) a <tt>Configuration Record</tt>.</t>
      <t>Within the following subsections, pseudocode as described in <xref target="pseudo-code"/> is used to explain the structure of each FFV1 bitstream component. <xref target="tablePseudoCodeSymbols"/> lists symbols used to annotate that pseudocode in order to define the storage of the data referenced in that line of pseudocode.</t>
      <table anchor="tablePseudoCodeSymbols">
        <name>Definition of pseudocode symbols for this document. </name>
        <thead>
          <tr>
            <th>symbol</th>
            <th>definition</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td>u(n)</td>
            <td>Unsigned, big-endian integer symbol using n bits</td>
          </tr>
          <tr>
<!-- [rfced] Table 4: The symbol sg is not used in the document.
Should it be removed from the table?

Current:
       | sg     | Signed scalar symbol that is Golomb Rice coded   |
       |        | with the method described in Section 3.8.2       |
-->
            <td>sg</td>
            <td>Signed scalar symbol that is Golomb Rice coded with the method described in <xref target="golomb-rice-mode"/></td>
          </tr>
          <tr>
            <td>br</td>
            <td>Boolean (1-bit) symbol that is range coded with the method described in <xref target="range-binary-values"/></td>
          </tr>
          <tr>
            <td>ur</td>
            <td>Unsigned scalar symbol that is range coded with the method described in <xref target="range-non-binary-values"/></td>
          </tr>
          <tr>
            <td>sr</td>
            <td>Signed scalar symbol that is range coded with the method described in <xref target="range-non-binary-values"/></td>
          </tr>
          <tr>
            <td>sd</td>
            <td>Sample difference Difference symbol that is coded with the method described in <xref target="coding-of-the-sample-difference"/></td>
          </tr>
        </tbody>
      </table>
      <t>The following <bcp14>MUST</bcp14> be provided by external means during the initialization of the decoder:</t>
      <t><tt>frame_pixel_width</tt> is defined as Frame width in pixels.</t>
      <t><tt>frame_pixel_height</tt> is defined as Frame height in pixels.</t>
      <t>Default values at the decoder initialization phase:</t>
      <t><tt>ConfigurationRecordIsPresent</tt> is set to 0.</t>
      <section anchor="quantization-table-set">
        <name>Quantization Table Set</name>
<!-- [rfced]  We are having difficulty parsing the sentence below.
Is there something missing in "by storing the number of equal
entries -1 of the first half of the table"?

Current:
   The Quantization Table Sets are stored by storing the number of equal
   entries -1 of the first half of the table (represented as "len - 1"
   in the pseudocode below) using the method described in
   Section 3.8.1.2.
-->     <t>The Quantization Table Sets store a sequence of values that are stored by storing equal to one less than the number count of equal concurrent entries -1 for each set of equal concurrent entries within the first half of the table (represented as <tt>len - 1</tt> in the pseudocode below) using the method described in <xref target="range-non-binary-values"/>. The second half doesn't need to be stored as it is identical to the first with flipped sign. <tt>scale</tt> and <tt>len_count[ i ][ j ]</tt> are temporary values used for the computing of <tt>context_count[ i ]</tt> and are not used outside Quantization Table Set pseudocode.</t>
        <t>Example:</t>
        <t>Table: 0 0 1 1 1 1 2 2 -2 -2 -2 -1 -1 -1 -1 0</t>
        <t>Stored values: 1, 3, 1</t>
        <t><tt>QuantizationTableSet</tt> has its own initial states, all set to 128.</t>

<!--[rfced] Regarding the XML file: <sourcecode type="c"> was
used for each instance of the two-column pseudocode format described
in Section 2.2.1 (11 instances total). May it be changed to
<sourcecode type="pseudocode">?  pseudocode is on
the list of preferred values of type (available from
https://www.rfc-editor.org/materials/sourcecode-types.txt),
and seems more accurate for those instances.
(To be clear, this change would not affect how the <sourcecode>
appears in the rendered formats.)
-->

        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
QuantizationTableSet( i ) {                                   |
    scale = 1                                                 |
    for (j = 0; j < MAX_CONTEXT_INPUTS; j++) {                |
        QuantizationTable( i, j, scale )                      |
        scale *= 2 * len_count[ i ][ j ] - 1                  |
    }                                                         |
    context_count[ i ] = ceil( scale / 2 )                    |
}                                                             |
]]></sourcecode>
        <t><tt>MAX_CONTEXT_INPUTS</tt> is 5.</t>
        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
QuantizationTable(i, j, scale) {                              |
    v = 0                                                     |
    for (k = 0; k < 128;) {                                   |
        len - 1                                               | ur
        for (n = 0; n < len; n++) {                           |
            quant_tables[ i ][ j ][ k ] = scale * v           |
            k++                                               |
        }                                                     |
        v++                                                   |
    }                                                         |
    for (k = 1; k < 128; k++) {                               |
        quant_tables[ i ][ j ][ 256 - k ] = \                 |
        -quant_tables[ i ][ j ][ k ]                          |
    }                                                         |
    quant_tables[ i ][ j ][ 128 ] = \                         |
    -quant_tables[ i ][ j ][ 127 ]                            |
    len_count[ i ][ j ] = v                                   |
}                                                             |
]]></sourcecode>
        <section anchor="quant-tables">
<!-- [rfced]  Would you like to use fixed-width font in the section
titles? Seemingly this would be for Sections 4.1.1, 4.1.2, 4.2.1 -
4.2.17, as well as the titles of many other subsections.

The fixed-width font would make it clear that a section title such as
"version" is not accidentally lowercase. However, <tt> yields
quotation marks in the text output, which may not be preferred.

To see one example of how it would look:
  the title of Section 4.1.1 in the 3 formats (TXT, HTML, PDF).
(This will be removed if this path is not chosen.)
-->
          <name><tt>quant_tables</tt></name>
          <t><tt>quant_tables[ i ][ j ][ k ]</tt> indicates the Quantization Table value of the Quantized Sample Difference <tt>k</tt> of the Quantization Table <tt>j</tt> of the Quantization Table Set <tt>i</tt>.</t>
        </section>
        <section anchor="context-count">
          <name>context_count</name>
          <name><tt>context_count</tt></name>
          <t><tt>context_count[ i ]</tt> indicates the count of contexts for Quantization Table Set <tt>i</tt>. <tt>context_count[ i ]</tt> <bcp14>MUST</bcp14> be less than or equal to 32768.</t>
        </section>
      </section>
      <section anchor="parameters">
        <name>Parameters</name>
<!-- [rfced]  In the following sentence, should it say
'The "Parameters" function contains' or 'This section contains'?

Current:
   The "Parameters" section contains significant characteristics about
   the decoding configuration
-->
        <t>The <tt>Parameters</tt> section function contains significant characteristics about the decoding configuration used for all instances of Frame (in FFV1 versions 0 and 1) or the whole FFV1 bitstream (other versions), including the stream version, color configuration, and Quantization Tables. <xref target="figureBitstream"/> describes the contents of the bitstream.</t>
        <t><tt>Parameters</tt> has its own initial states, all set to 128.</t>
        <figure anchor="figureBitstream">
          <name>A pseudocode description of the bitstream contents. </name>
          <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
Parameters( ) {                                               |
    version                                                   | ur
    if (version >= 3) {                                       |
        micro_version                                         | ur
    }                                                         |
    coder_type                                                | ur
    if (coder_type > 1) {                                     |
        for (i = 1; i < 256; i++) {                           |
            state_transition_delta[ i ]                       | sr
        }                                                     |
    }                                                         |
    colorspace_type                                           | ur
    if (version >= 1) {                                       |
        bits_per_raw_sample                                   | ur
    }                                                         |
    chroma_planes                                             | br
    log2_h_chroma_subsample                                   | ur
    log2_v_chroma_subsample                                   | ur
    extra_plane                                               | br
    if (version >= 3) {                                       |
        num_h_slices - 1                                      | ur
        num_v_slices - 1                                      | ur
        quant_table_set_count                                 | ur
    }                                                         |
    for (i = 0; i < quant_table_set_count; i++) {             |
        QuantizationTableSet( i )                             |
    }                                                         |
    if (version >= 3) {                                       |
        for (i = 0; i < quant_table_set_count; i++) {         |
            states_coded                                      | br
            if (states_coded) {                               |
                for (j = 0; j < context_count[ i ]; j++) {    |
                    for (k = 0; k < CONTEXT_SIZE; k++) {      |
                        initial_state_delta[ i ][ j ][ k ]    | sr
                    }                                         |
                }                                             |
            }                                                 |
        }                                                     |
        ec                                                    | ur
        intra                                                 | ur
    }                                                         |
}                                                             |
]]></sourcecode>
        </figure>
        <t>CONTEXT_SIZE is 32.</t>
        <section anchor="version">
          <name>version</name>
          <name><tt>version</tt></name>
          <t><tt>version</tt> specifies the version of the FFV1 bitstream.</t>
          <t>Each version is incompatible with other versions: decoders <bcp14>SHOULD</bcp14> reject FFV1 bitstreams due to an unknown version.</t>
          <t>Decoders <bcp14>SHOULD</bcp14> reject FFV1 bitstreams with <tt>version &lt;= 1 &amp;&amp; ConfigurationRecordIsPresent == 1</tt>.</t>
          <t>Decoders <bcp14>SHOULD</bcp14> reject FFV1 bitstreams with <tt>version &gt;= 3 &amp;&amp; ConfigurationRecordIsPresent == 0</tt>.</t>
          <table>
            <thead>
              <tr>
                <th align="left">value</th>
                <th align="left">version</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="left">0</td>
                <td align="left">FFV1 version 0</td>
              </tr>
              <tr>
                <td align="left">1</td>
                <td align="left">FFV1 version 1</td>
              </tr>
              <tr>
                <td align="left">2</td>
                <td align="left">reserved*</td>
              </tr>
              <tr>
                <td align="left">3</td>
                <td align="left">FFV1 version 3</td>
              </tr>
              <tr>
                <td align="left">Other</td>
                <td align="left">reserved for future use</td>
              </tr>
            </tbody>
          </table>
          <t>* Version 2 was experimental and this document does not describe it.</t>
        </section>
        <section anchor="micro-version">
          <name>micro_version</name>
          <name><tt>micro_version</tt></name>
          <t><tt>micro_version</tt> specifies the micro-version of the FFV1 bitstream.</t>
          <t>After a version is considered stable (a micro-version value is assigned to be the first stable variant of a specific version), each new micro-version after this first stable variant is compatible with the previous micro-version: decoders <bcp14>SHOULD NOT</bcp14> reject FFV1 bitstreams due to an unknown micro-version equal or above the micro-version considered as stable.</t>
          <t>Meaning of <tt>micro_version</tt> for <tt>version</tt> 3:</t>
          <table>
            <name>The definitions for <tt>micro_version</tt> values for FFV1 version 3.
</name>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">micro_version</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0...3</td>
                <td align="left">reserved*</td>
              </tr>
              <tr>
                <td>4</td>
                <td align="left">first stable variant</td>
              </tr>
              <tr>
                <td>Other</td>
                <td align="left">reserved for future use</td>
              </tr>
            </tbody>
          </table>
          <t>* Development versions may be incompatible with the stable variants.</t>
        </section>
        <section anchor="coder-type">
          <name>coder_type</name>
          <name><tt>coder_type</tt></name>
          <t><tt>coder_type</tt> specifies the coder used.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">coder used</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">Golomb Rice</td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left">Range Coder coder with default state transition table</td>
              </tr>
              <tr>
                <td>2</td>
                <td align="left">Range Coder coder with custom state transition table</td>
              </tr>
              <tr>
                <td>Other</td>
                <td align="left">reserved for future use</td>
              </tr>
            </tbody>
          </table>
          <t>Restrictions:</t>
          <t>If <tt>coder_type</tt> is 0, then <tt>bits_per_raw_sample</tt> <bcp14>SHOULD NOT</bcp14> be &gt; 8.</t>
          <t>Background: At the time of this writing, there is no known implementation of FFV1 bitstream supporting the Golomb Rice algorithm with <tt>bits_per_raw_sample</tt> greater than eight, and Range Coder range coder is preferred.</t>
        </section>
        <section anchor="state-transition-delta">
          <name>state_transition_delta</name>
          <name><tt>state_transition_delta</tt></name>
          <t><tt>state_transition_delta</tt> specifies the Range range coder custom state transition table.</t>
          <t>If <tt>state_transition_delta</tt> is not present in the FFV1 bitstream, all Range range coder custom state transition table elements are assumed to be 0.</t>
        </section>
        <section anchor="colorspace-type">
          <name>colorspace_type</name>
          <name><tt>colorspace_type</tt></name>
          <t><tt>colorspace_type</tt> specifies the color space encoded, the pixel transformation used by the encoder, the extra Plane content, as well as interleave method.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">color space encoded</th>
                <th align="left">pixel transformation</th>
                <th align="left">extra Plane content</th>
                <th align="left">interleave method</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">YCbCr</td>
                <td align="left">None</td>
                <td align="left">Transparency</td>
                <td align="left">Plane then Line</td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left">RGB</td>
                <td align="left">JPEG 2000 RCT</td>
                <td align="left">Transparency</td>
                <td align="left">Line then Plane</td>
              </tr>
              <tr>
                <td>Other</td>
                <td align="left">reserved for future use</td>
                <td align="left">reserved for future use</td>
                <td align="left">reserved for future use</td>
                <td align="left">reserved for future use</td>
              </tr>
            </tbody>
          </table>
          <t>FFV1 bitstreams with <tt>colorspace_type == 1 &amp;&amp; (chroma_planes != 1 || log2_h_chroma_subsample != 0 || log2_v_chroma_subsample != 0)</tt> are not part of this specification.</t>
        </section>
        <section anchor="chroma-planes">
          <name>chroma_planes</name>
          <name><tt>chroma_planes</tt></name>
          <t><tt>chroma_planes</tt> indicates if chroma (color) Planes are present.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">presence</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">chroma Planes are not present</td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left">chroma Planes are present</td>
              </tr>
            </tbody>
          </table>
        </section>
        <section anchor="bits-per-raw-sample">
          <name>bits_per_raw_sample</name>
          <name><tt>bits_per_raw_sample</tt></name>
          <t><tt>bits_per_raw_sample</tt> indicates the number of bits for each Sample. Inferred to be 8 if not present.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">bits for each Sample</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">reserved*</td>
              </tr>
              <tr>
                <td>Other</td>
                <td align="left">the actual bits for each Sample</td>
              </tr>
            </tbody>
          </table>
          <t>* Encoders <bcp14>MUST NOT</bcp14> store <tt>bits_per_raw_sample = 0</tt>.
Decoders <bcp14>SHOULD</bcp14> accept and interpret <tt>bits_per_raw_sample = 0</tt> as 8.</t>
        </section>
        <section anchor="log2-h-chroma-subsample">
          <name>log2_h_chroma_subsample</name>
          <name><tt>log2_h_chroma_subsample</tt></name>
          <t><tt>log2_h_chroma_subsample</tt> indicates the subsample factor, stored in powers to which the number 2 is raised, between luma and chroma width (<tt>chroma_width = 2 ^ -log2_h_chroma_subsample * luma_width</tt>).</t>
        </section>
        <section anchor="log2-v-chroma-subsample">
          <name>log2_v_chroma_subsample</name>
          <name><tt>log2_v_chroma_subsample</tt></name>
          <t><tt>log2_v_chroma_subsample</tt> indicates the subsample factor, stored in powers to which the number 2 is raised, between luma and chroma height (<tt>chroma_height = 2 ^ -log2_v_chroma_subsample * luma_height</tt>).</t>
        </section>
        <section anchor="extra-plane">
          <name>extra_plane</name>
          <name><tt>extra_plane</tt></name>
          <t><tt>extra_plane</tt> indicates if an extra Plane is present.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">presence</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">extra Plane is not present</td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left">extra Plane is present</td>
              </tr>
            </tbody>
          </table>
        </section>
        <section anchor="num-h-slices">
          <name>num_h_slices</name>
          <name><tt>num_h_slices</tt></name>
          <t><tt>num_h_slices</tt> indicates the number of horizontal elements of the slice Slice raster.</t>
          <t>Inferred to be 1 if not present.</t>
        </section>
        <section anchor="num-v-slices">
          <name>num_v_slices</name>
          <name><tt>num_v_slices</tt></name>
          <t><tt>num_v_slices</tt> indicates the number of vertical elements of the slice Slice raster.</t>
          <t>Inferred to be 1 if not present.</t>
        </section>
        <section anchor="quant-table-set-count">
          <name>quant_table_set_count</name>
          <name><tt>quant_table_set_count</tt></name>
          <t><tt>quant_table_set_count</tt> indicates the number of Quantization Table Sets. <tt>quant_table_set_count</tt> <bcp14>MUST</bcp14> be less than or equal to 8.</t>
          <t>Inferred to be 1 if not present.</t>
          <t><bcp14>MUST NOT</bcp14> be 0.</t>
        </section>
        <section anchor="states-coded">
          <name>states_coded</name>
          <name><tt>states_coded</tt></name>
          <t><tt>states_coded</tt> indicates if the respective Quantization Table Set has the initial states coded.</t>
          <t>Inferred to be 0 if not present.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">initial states</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">initial states are not present and are assumed to be all 128</td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left">initial states are present</td>
              </tr>
            </tbody>
          </table>
        </section>
        <section anchor="initial-state-delta">
          <name>initial_state_delta</name>
          <name><tt>initial_state_delta</tt></name>
<!-- [rfced] It seems the following sentence is missing something;
please clarify.

Current:
   "initial_state_delta[ i ][ j ][ k ]" indicates the initial Range
   coder state, and it is encoded using "k" as context index and

   pred = j ? initial_states[ i ][j - 1][ k ] : 128

                                 Figure 29

   initial_state[ i ][ j ][ k ] =
          ( pred + initial_state_delta[ i ][ j ][ k ] ) & 255

                                 Figure 30
-->
          <t><tt>initial_state_delta[ i ][ j ][ k ]</tt> indicates the initial Range range coder state, and it is encoded using <tt>k</tt> as context index and</t>
          <figure>
            <artset>
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pred = j ? initial_states[ i ][j - 1][ k ] : 128
]]></artwork>
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type="svg" alt="svg" name="initial state delta 2"/>
              <artwork type="ascii-art"><![CDATA[
initial_state[ i ][ j ][ k ] =
       ( pred + initial_state_delta[ i ][ j ][ k ] ) & 255
]]></artwork>
            </artset>
          </figure>
        </section>
        <section anchor="ec">
          <name>ec</name>
          <name><tt>ec</tt></name>
          <t><tt>ec</tt> indicates the error detection/correction type.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">error detection/correction type</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">32-bit CRC in <tt>ConfigurationRecord</tt></td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left">32-bit CRC in <tt>Slice</tt> and <tt>ConfigurationRecord</tt></td>
              </tr>
              <tr>
                <td>Other</td>
                <td align="left">reserved for future use</td>
              </tr>
            </tbody>
          </table>
        </section>
        <section anchor="intra">
          <name>intra</name>
          <name><tt>intra</tt></name>
          <t><tt>intra</tt> indicates the constraint on <tt>keyframe</tt> in each instance of Frame.</t>
          <t>Inferred to be 0 if not present.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">relationship</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left"><tt>keyframe</tt> can be 0 or 1 (non keyframes or keyframes)</td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left"><tt>keyframe</tt> <bcp14>MUST</bcp14> be 1 (keyframes only)</td>
              </tr>
              <tr>
                <td>Other</td>
                <td align="left">reserved for future use</td>
              </tr>
            </tbody>
          </table>
        </section>
      </section>
      <section anchor="configuration-record">
        <name>Configuration Record</name>
        <t>In the case of a FFV1 bitstream with <tt>version &gt;= 3</tt>, a <tt>Configuration Record</tt> is stored in the underlying container as described in <xref target="mapping-ffv1-into-containers"/>. It contains the <tt>Parameters</tt> used for all instances of Frame. The size of the <tt>Configuration Record</tt>, <tt>NumBytes</tt>, is supplied by the underlying container.</t>
        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                 | type
-----------------------------------------------------------|-----
ConfigurationRecord( NumBytes ) {                          |
    ConfigurationRecordIsPresent = 1                       |
    Parameters( )                                          |
    while (remaining_symbols_in_syntax(NumBytes - 4)) {    |
        reserved_for_future_use                            | br/ur/sr
    }                                                      |
    configuration_record_crc_parity                        | u(32)
}                                                          |
]]></sourcecode>
        <section anchor="reserved-for-future-use">
          <name>reserved_for_future_use</name>
          <name><tt>reserved_for_future_use</tt></name>
          <t><tt>reserved_for_future_use</tt> is a placeholder for future updates of this specification.</t>
          <t>Encoders conforming to this version of this specification <bcp14>SHALL NOT</bcp14> write <tt>reserved_for_future_use</tt>.</t>
          <t>Decoders conforming to this version of this specification <bcp14>SHALL</bcp14> ignore <tt>reserved_for_future_use</tt>.</t>
        </section>
        <section anchor="configuration-record-crc-parity">
          <name>configuration_record_crc_parity</name>
          <name><tt>configuration_record_crc_parity</tt></name>
          <t><tt>configuration_record_crc_parity</tt> is 32 bits that are chosen so that the <tt>Configuration Record</tt> as a whole has a CRC remainder of zero.</t>
          <t>This is equivalent to storing the CRC remainder in the 32-bit parity.</t>
          <t>The CRC generator polynomial used is described in <xref target="slice-crc-parity"/>.</t>
        </section>
        <section anchor="mapping-ffv1-into-containers">
          <name>Mapping FFV1 into Containers</name>
<!-- [rfced]  FYI  We have updated the following to improve readability.
Please let us know if other changes are necessary:

Original:
   This "Configuration Record" can be placed in any file format
   supporting "Configuration Records", fitting as much as possible with
   how the file format uses to store "Configuration Records".  The
   "Configuration Record" storage place and "NumBytes" are currently
   defined and supported by this version of this specification for the
   following formats:

Current:
   This "Configuration Record" can be placed in any file format
   that supports "Configuration Records", fitting as much as possible with
   how the file format stores "Configuration Records".  The
   "Configuration Record" storage place and "NumBytes" are currently
   defined and supported for the following formats:
-->
          <t>This <tt>Configuration Record</tt> can be placed in any file format that supports <tt>Configuration Records</tt>, fitting as much as possible with how the file format stores <tt>Configuration Records</tt>. The <tt>Configuration Record</tt> storage place and <tt>NumBytes</tt> are currently defined and supported for the following formats:</t>
          <section anchor="avi-file-format">
            <name>Audio Video Interleave (AVI) File Format</name>
            <t>The <tt>Configuration Record</tt> extends the stream format chunk ("AVI", "hdlr", "strl", "strf") with the <tt>ConfigurationRecord</tt> bitstream.</t>
            <t>See <xref target="AVI"/> for more information about chunks.</t>
            <t><tt>NumBytes</tt> is defined as the size, in bytes, of the "strf" chunk indicated in the chunk header minus the size of the stream format structure.</t>
          </section>
          <section anchor="iso-base-media-file-format">
            <name>ISO Base Media File Format</name>
            <t>The <tt>Configuration Record</tt> extends the sample description box ("moov", "trak", "mdia", "minf", "stbl", "stsd") with a "glbl" box that contains the <tt>ConfigurationRecord</tt> bitstream. See <xref target="ISO.14496-12.2015"/> target="ISO.14496-12.2020"/> for more information about boxes.</t>
            <t><tt>NumBytes</tt> is defined as the size, in bytes, of the "glbl" box indicated in the box header minus the size of the box header.</t>
          </section>
          <section anchor="nut-file-format">
            <name>NUT File Format</name>
            <t>The <tt>codec_specific_data</tt> element (in <tt>stream_header</tt> packet) contains the <tt>ConfigurationRecord</tt> bitstream. See <xref target="NUT"/> for more information about elements.</t>
            <t><tt>NumBytes</tt> is defined as the size, in bytes, of the <tt>codec_specific_data</tt> element as indicated in the "length" field of <tt>codec_specific_data</tt>.</t>
          </section>
          <section anchor="matroska-file-format">
            <name>Matroska File Format</name>
            <t>FFV1 <bcp14>SHOULD</bcp14> use <tt>V_FFV1</tt> as the Matroska <tt>Codec ID</tt>. For FFV1 versions 2 or less, the Matroska <tt>CodecPrivate</tt> Element <bcp14>SHOULD NOT</bcp14> be used. For FFV1 versions 3 or greater, the Matroska <tt>CodecPrivate</tt> Element <bcp14>MUST</bcp14> contain the FFV1 <tt>Configuration Record</tt> structure and no other data. See <xref target="I-D.ietf-cellar-matroska"/> for more information about elements.</t>
            <t><tt>NumBytes</tt> is defined as the <tt>Element Data Size</tt> of the <tt>CodecPrivate</tt> Element.</t>
          </section>
        </section>
      </section>
      <section anchor="frame">
        <name>Frame</name>
        <t>A <tt>Frame</tt> is an encoded representation of a complete static image. The whole <tt>Frame</tt> is provided by the underlaying container.</t>
        <t>A <tt>Frame</tt> consists of the <tt>keyframe</tt> field, <tt>Parameters</tt> (if <tt>version &lt;= 1</tt>), and a sequence of independent slices. Slices. The pseudocode below describes the contents of a <tt>Frame</tt>.</t>
        <t>The <tt>keyframe</tt> field has its own initial state, set to 128.</t>
        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
Frame( NumBytes ) {                                           |
    keyframe                                                  | br
    if (keyframe && !ConfigurationRecordIsPresent {           |
        Parameters( )                                         |
    }                                                         |
    while (remaining_bits_in_bitstream( NumBytes )) {         |
        Slice( )                                              |
    }                                                         |
}                                                             |
]]></sourcecode>

<!-- [rfced]  FYI, we have changed the architecture overview of slices in a Frame from <table> to <artwork> because it is a diagram.
The advantage is improved display in the HTML and PDF files, especially.
Please let us know if other changes are necessary.
-->

        <t>The following is an architecture overview of slices Slices in a Frame:</t>

<artwork align="center">
+-----------------------------------------------------------------+
| first slice Slice header                                              |
+-----------------------------------------------------------------+
| first slice Slice content                                             |
+-----------------------------------------------------------------+
| first slice footer                                              |
+-----------------------------------------------------------------+
| --------------------------------------------------------------- |
+-----------------------------------------------------------------+
| second slice header                                             |
+-----------------------------------------------------------------+
| second slice content                                            |
+-----------------------------------------------------------------+
| second slice footer                                             |
+-----------------------------------------------------------------+
| --------------------------------------------------------------- |
+-----------------------------------------------------------------+
| ...                                                             |
+-----------------------------------------------------------------+
| --------------------------------------------------------------- |
+-----------------------------------------------------------------+
| last slice header                                               |
+-----------------------------------------------------------------+
| last slice content                                              |
+-----------------------------------------------------------------+
| last slice Slice footer                                              |
+-----------------------------------------------------------------+
  </artwork>

      </section>
      <section anchor="slice">
        <name>Slice</name>
<!-- [rfced]  FYI  We have updated the following to improve readability.
Please let us know if other changes are necessary:

Original:
   The use of
   more than one "Slice" per Frame can be useful for taking advantage of
   the opportunities of multithreaded encoding and decoding.

Current:
   The use of
   more than one "Slice" per Frame provides opportunities for taking
   advantage of multithreaded encoding and decoding.
-->
+-----------------------------------------------------------------+
| --------------------------------------------------------------- |
+-----------------------------------------------------------------+
| second Slice header                                             |
+-----------------------------------------------------------------+
| second Slice content                                            |
+-----------------------------------------------------------------+
| second Slice footer                                             |
+-----------------------------------------------------------------+
| --------------------------------------------------------------- |
+-----------------------------------------------------------------+
| ...                                                             |
+-----------------------------------------------------------------+
| --------------------------------------------------------------- |
+-----------------------------------------------------------------+
| last Slice header                                               |
+-----------------------------------------------------------------+
| last Slice content                                              |
+-----------------------------------------------------------------+
| last Slice footer                                               |
+-----------------------------------------------------------------+
  </artwork>

      </section>
      <section anchor="slice">
        <name>Slice</name>
        <t>A <tt>Slice</tt> is an independent, spatial subsection of a Frame that is encoded separately from another region of the same Frame. The use of more than one <tt>Slice</tt> per Frame provides opportunities for taking advantage of multithreaded encoding and decoding.</t>
        <t>A <tt>Slice</tt> consists of a <tt>Slice Header</tt> (when relevant), a <tt>Slice Content</tt>, and a <tt>Slice Footer</tt> (when relevant). The pseudocode below describes the contents of a <tt>Slice</tt>.</t>
        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
Slice( ) {                                                    |
    if (version >= 3) {                                       |
        SliceHeader( )                                        |
    }                                                         |
    SliceContent( )                                           |
    if (coder_type == 0) {                                    |
        while (!byte_aligned()) {                             |
            padding                                           | u(1)
        }                                                     |
    }                                                         |
    if (version <= 1) {                                       |
        while (remaining_bits_in_bitstream( NumBytes ) != 0) {|
            reserved                                          | u(1)
        }                                                     |
    }                                                         |
    if (version >= 3) {                                       |
        SliceFooter( )                                        |
    }                                                         |
}                                                             |
]]></sourcecode>
        <t><tt>padding</tt> specifies a bit without any significance and used only for byte alignment.
<tt>padding</tt> <bcp14>MUST</bcp14> be 0.</t>
        <t><tt>reserved</tt> specifies a bit without any significance in this specification but may have a significance in a later revision of this specification.</t>
        <t>Encoders <bcp14>SHOULD NOT</bcp14> fill <tt>reserved</tt>.</t>
        <t>Decoders <bcp14>SHOULD</bcp14> ignore <tt>reserved</tt>.</t>
      </section>
      <section anchor="slice-header">
        <name>Slice Header</name>
        <t>A <tt>Slice Header</tt> provides information about the decoding configuration of the <tt>Slice</tt>, such as its spatial position, size, and aspect ratio. The pseudocode below describes the contents of the <tt>Slice Header</tt>.</t>
        <t><tt>Slice Header</tt> has its own initial states, all set to 128.</t>
        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
SliceHeader( ) {                                              |
    slice_x                                                   | ur
    slice_y                                                   | ur
    slice_width - 1                                           | ur
    slice_height - 1                                          | ur
    for (i = 0; i < quant_table_set_index_count; i++) {       |
        quant_table_set_index[ i ]                            | ur
    }                                                         |
    picture_structure                                         | ur
    sar_num                                                   | ur
    sar_den                                                   | ur
}                                                             |
]]></sourcecode>
        <section anchor="slice-x">
          <name>slice_x</name>
          <name><tt>slice_x</tt></name>
          <t><tt>slice_x</tt> indicates the x position on the slice Slice raster formed by <tt>num_h_slices</tt>.</t>
          <t>Inferred to be 0 if not present.</t>
        </section>
        <section anchor="slice-y">
          <name>slice_y</name>
          <name><tt>slice_y</tt></name>
          <t><tt>slice_y</tt> indicates the y position on the slice Slice raster formed by <tt>num_v_slices</tt>.</t>
          <t>Inferred to be 0 if not present.</t>
        </section>
        <section anchor="slice-width">
          <name>slice_width</name>
          <name><tt>slice_width</tt></name>
          <t><tt>slice_width</tt> indicates the width on the slice Slice raster formed by <tt>num_h_slices</tt>.</t>
          <t>Inferred to be 1 if not present.</t>
        </section>
        <section anchor="slice-height">
          <name>slice_height</name>
          <name><tt>slice_height</tt></name>
          <t><tt>slice_height</tt> indicates the height on the slice Slice raster formed by <tt>num_v_slices</tt>.</t>
          <t>Inferred to be 1 if not present.</t>
        </section>
        <section anchor="quant-table-set-index-count">
          <name>quant_table_set_index_count</name>
          <name><tt>quant_table_set_index_count</tt></name>
          <t><tt>quant_table_set_index_count</tt> is defined as the following:</t>
          <artwork type="ascii-art"><![CDATA[
1 + ( ( chroma_planes || version <= 3 ) ? 1 : 0 )
    + ( extra_plane ? 1 : 0 )
]]></artwork>
        </section>
        <section anchor="quant-table-set-index">
          <name>quant_table_set_index</name>
          <name><tt>quant_table_set_index</tt></name>
          <t><tt>quant_table_set_index</tt> indicates the Quantization Table Set index to select the Quantization Table Set and the initial states for the <tt>Slice Content</tt>.</t>
          <t>Inferred to be 0 if not present.</t>
        </section>
        <section anchor="picture-structure">
          <name>picture_structure</name>
          <name><tt>picture_structure</tt></name>
          <t><tt>picture_structure</tt> specifies the temporal and spatial relationship of each Line of the Frame.</t>
          <t>Inferred to be 0 if not present.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">picture structure used</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">unknown</td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left">top field first</td>
              </tr>
              <tr>
                <td>2</td>
                <td align="left">bottom field first</td>
              </tr>
              <tr>
                <td>3</td>
                <td align="left">progressive</td>
              </tr>
              <tr>
                <td>Other</td>
                <td align="left">reserved for future use</td>
              </tr>
            </tbody>
          </table>
        </section>
        <section anchor="sar-num">
          <name>sar_num</name>
          <name><tt>sar_num</tt></name>
          <t><tt>sar_num</tt> specifies the Sample aspect ratio numerator.</t>
          <t>Inferred to be 0 if not present.</t>
          <t>A value of 0 means that aspect ratio is unknown.</t>
          <t>Encoders <bcp14>MUST</bcp14> write 0 if the Sample aspect ratio is unknown.</t>
          <t>If <tt>sar_den</tt> is 0, decoders <bcp14>SHOULD</bcp14> ignore the encoded value and consider that <tt>sar_num</tt> is 0.</t>
        </section>
        <section anchor="sar-den">
          <name>sar_den</name>
          <name><tt>sar_den</tt></name>
          <t><tt>sar_den</tt> specifies the Sample aspect ratio denominator.</t>
          <t>Inferred to be 0 if not present.</t>
          <t>A value of 0 means that aspect ratio is unknown.</t>
          <t>Encoders <bcp14>MUST</bcp14> write 0 if the Sample aspect ratio is unknown.</t>
          <t>If <tt>sar_num</tt> is 0, decoders <bcp14>SHOULD</bcp14> ignore the encoded value and consider that <tt>sar_den</tt> is 0.</t>
        </section>
      </section>
      <section anchor="slice-content">
        <name>Slice Content</name>
        <t>A <tt>Slice Content</tt> contains all Line elements part of the <tt>Slice</tt>.</t>
        <t>Depending on the configuration, Line elements are ordered by Plane then by row (YCbCr) or by row then by Plane (RGB).</t>
        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
SliceContent( ) {                                             |
    if (colorspace_type == 0) {                               |
        for (p = 0; p < primary_color_count; p++) {           |
            for (y = 0; y < plane_pixel_height[ p ]; y++) {   |
                Line( p, y )                                  |
            }                                                 |
        }                                                     |
    } else if (colorspace_type == 1) {                        |
        for (y = 0; y < slice_pixel_height; y++) {            |
            for (p = 0; p < primary_color_count; p++) {       |
                Line( p, y )                                  |
            }                                                 |
        }                                                     |
    }                                                         |
}                                                             |
]]></sourcecode>
        <section anchor="primary-color-count">
          <name>primary_color_count</name>
          <name><tt>primary_color_count</tt></name>
          <t><tt>primary_color_count</tt> is defined as the following:</t>
          <artwork type="ascii-art"><![CDATA[
1 + ( chroma_planes ? 2 : 0 ) + ( extra_plane ? 1 : 0 )
]]></artwork>
        </section>
        <section anchor="plane-pixel-height">
          <name>plane_pixel_height</name>
          <name><tt>plane_pixel_height</tt></name>
          <t><tt>plane_pixel_height[ p ]</tt> is the height in pixels of Plane p of the <tt>Slice</tt>. It is defined as the following:</t>
          <artwork type="ascii-art"><![CDATA[
chroma_planes == 1 && (p == 1 || p == 2)
    ? ceil(slice_pixel_height / (1 << log2_v_chroma_subsample))
    : slice_pixel_height
]]></artwork>
        </section>
        <section anchor="slice-pixel-height">
          <name>slice_pixel_height</name>
          <name><tt>slice_pixel_height</tt></name>
          <t><tt>slice_pixel_height</tt> is the height in pixels of the slice. Slice. It is defined as the following:</t>
          <artwork type="ascii-art"><![CDATA[
floor(
        ( slice_y + slice_height )
        * slice_pixel_height
        / num_v_slices
    ) - slice_pixel_y.
]]></artwork>
        </section>
        <section anchor="slice-pixel-y">
          <name>slice_pixel_y</name>
          <name><tt>slice_pixel_y</tt></name>
          <t><tt>slice_pixel_y</tt> is the slice Slice vertical position in pixels. It is defined as the following:</t>
          <artwork type="ascii-art"><![CDATA[
floor( slice_y * frame_pixel_height / num_v_slices )
]]></artwork>
        </section>
      </section>
      <section anchor="line">
        <name>Line</name>
        <t>A <tt>Line</tt> is a list of the sample differences Sample Differences (relative to the predictor) of primary color components. The pseudocode below describes the contents of the <tt>Line</tt>.</t>
        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
Line( p, y ) {                                                |
    if (colorspace_type == 0) {                               |
        for (x = 0; x < plane_pixel_width[ p ]; x++) {        |
            sample_difference[ p ][ y ][ x ]                  | sd
        }                                                     |
    } else if (colorspace_type == 1) {                        |
        for (x = 0; x < slice_pixel_width; x++) {             |
            sample_difference[ p ][ y ][ x ]                  | sd
        }                                                     |
    }                                                         |
}                                                             |
]]></sourcecode>
        <section anchor="plane-pixel-width">
          <name>plane_pixel_width</name>
          <name><tt>plane_pixel_width</tt></name>
          <t><tt>plane_pixel_width[ p ]</tt> is the width in pixels of Plane p of the <tt>Slice</tt>. It is defined as the following:</t>
          <artwork type="ascii-art"><![CDATA[
chroma_planes == 1 && (p == 1 || p == 2)
    ? ceil( slice_pixel_width / (1 << log2_h_chroma_subsample) )
    : slice_pixel_width.
]]></artwork>
        </section>
        <section anchor="slice-pixel-width">
          <name>slice_pixel_width</name>
          <name><tt>slice_pixel_width</tt></name>
          <t><tt>slice_pixel_width</tt> is the width in pixels of the slice. Slice. It is defined as the following:</t>
          <artwork type="ascii-art"><![CDATA[
floor(
        ( slice_x + slice_width )
        * slice_pixel_width
        / num_h_slices
    ) - slice_pixel_x
]]></artwork>
        </section>
        <section anchor="slice-pixel-x">
          <name>slice_pixel_x</name>
          <name><tt>slice_pixel_x</tt></name>
          <t><tt>slice_pixel_x</tt> is the slice Slice horizontal position in pixels. It is defined as the following:</t>
          <artwork type="ascii-art"><![CDATA[
floor( slice_x * frame_pixel_width / num_h_slices )
]]></artwork>
        </section>
        <section anchor="sample-difference">
          <name>sample_difference</name>
          <name><tt>sample_difference</tt></name>
          <t><tt>sample_difference[ p ][ y ][ x ]</tt> is the sample difference Sample Difference for Sample at Plane <tt>p</tt>, y position <tt>y</tt>, and x position <tt>x</tt>. The Sample value is computed based on median predictor and context described in <xref target="samples"/>.</t>
        </section>
      </section>
      <section anchor="slice-footer">
        <name>Slice Footer</name>
        <t>A <tt>Slice Footer</tt> provides information about slice Slice size and (optionally) parity. The pseudocode below describes the contents of the <tt>Slice Footer</tt>.</t>
        <t>Note: <tt>Slice Footer</tt> is always byte aligned.</t>
        <sourcecode type="c"><![CDATA[ type="pseudocode"><![CDATA[
pseudocode                                                    | type
--------------------------------------------------------------|-----
SliceFooter( ) {                                              |
    slice_size                                                | u(24)
    if (ec) {                                                 |
        error_status                                          | u(8)
        slice_crc_parity                                      | u(32)
    }                                                         |
}                                                             |
]]></sourcecode>
        <section anchor="slice-size">
          <name>slice_size</name>
          <name><tt>slice_size</tt></name>
          <t><tt>slice_size</tt> indicates the size of the slice Slice in bytes.</t>
          <t>Note: this allows finding the start of slices Slices before previous slices Slices have been fully decoded and allows parallel decoding as well as error resilience.</t>
        </section>
        <section anchor="error-status">
          <name>error_status</name>
          <name><tt>error_status</tt></name>
          <t><tt>error_status</tt> specifies the error status.</t>
          <table>
            <thead>
              <tr>
                <th>value</th>
                <th align="left">error status</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>0</td>
                <td align="left">no error</td>
              </tr>
              <tr>
                <td>1</td>
                <td align="left">slice align="left">Slice contains a correctable error</td>
              </tr>
              <tr>
                <td>2</td>
                <td align="left">slice align="left">Slice contains a uncorrectable error</td>
              </tr>
              <tr>
                <td>Other</td>
                <td align="left">reserved for future use</td>
              </tr>
            </tbody>
          </table>
        </section>
        <section anchor="slice-crc-parity">
          <name>slice_crc_parity</name>
          <name><tt>slice_crc_parity</tt></name>
          <t><tt>slice_crc_parity</tt> is 32 bits that are chosen so that the slice Slice as a whole has a CRC remainder of 0.</t>
          <t>This is equivalent to storing the CRC remainder in the 32-bit parity.</t>
          <t>The CRC generator polynomial used is the standard IEEE CRC polynomial (0x104C11DB7) with initial value 0, without pre-inversion, and without post-inversion.</t>
        </section>
      </section>
    </section>
    <section anchor="restrictions">
      <name>Restrictions</name>
      <t>To ensure that fast multithreaded decoding is possible, starting with version 3 and if <tt>frame_pixel_width * frame_pixel_height</tt> is more than 101376, <tt>slice_width * slice_height</tt> <bcp14>MUST</bcp14> be less or equal to <tt>num_h_slices * num_v_slices / 4</tt>.
Note: 101376 is the frame size in pixels of a 352x288 frame also known as CIF (Common Intermediate Format) frame size format.</t>
      <t>For each Frame, each position in the slice Slice raster <bcp14>MUST</bcp14> be filled by one and only one slice Slice of the Frame (no missing slice Slice position and no slice Slice overlapping).</t>
      <t>For each Frame with a <tt>keyframe</tt> value of 0, each slice Slice <bcp14>MUST</bcp14> have the same value of <tt>slice_x</tt>, <tt>slice_y</tt>, <tt>slice_width</tt>, and <tt>slice_height</tt> as a slice Slice in the previous Frame.</t>
    </section>
    <section anchor="security-considerations">
      <name>Security Considerations</name>
      <t>Like any other codec (such as <xref target="RFC6716"/>), FFV1 should not be used with insecure ciphers or cipher modes that are vulnerable to known plaintext attacks. Some of the header bits as well as the padding are easily predictable.</t>
<!-- [rfced] In the following, should it be "arithmetic type
range" or "arithmetic type's range"?

Current:
   ...the multiplication
   result may have overflowed the arithmetic types range.
-->
      <t>Implementations of the FFV1 codec need to take appropriate security considerations into account. Those related to denial of service are outlined in <xref target="RFC4732" section="2.1" sectionFormat="of" format="default"/>. It is extremely important for the decoder to be robust against malicious payloads. Malicious payloads <bcp14>MUST NOT</bcp14> cause the decoder to overrun its allocated memory or to take an excessive amount of resources to decode. An overrun in allocated memory could lead to arbitrary code execution by an attacker. The same applies to the encoder, even though problems in encoders are typically rarer. Malicious video streams <bcp14>MUST NOT</bcp14> cause the encoder to misbehave because this would allow an attacker to attack transcoding gateways. A frequent security problem in image and video codecs is failure to check for integer overflows. An example is allocating <tt>frame_pixel_width * frame_pixel_height</tt> in pixel count computations without considering that the multiplication result may have overflowed the arithmetic types range.
The range coder could, if implemented naively, read one byte over the end. The implementation <bcp14>MUST</bcp14> ensure that no read outside allocated and initialized memory occurs.</t>
      <t>None of the content carried in FFV1 is intended to be executable.</t>
    </section>
    <section anchor="iana-considerations">
      <name>IANA Considerations</name>
      <t>IANA has registered the following values.</t>
      <section anchor="media-type-definition">
        <name>Media Type Definition</name>
        <t>This registration is done using the template defined in <xref target="RFC6838"/> and following <xref target="RFC4855"/>.</t>
<dl newline="false">
        <dt>Type name:</dt><dd> video</dd>
        <dt>Subtype name:</dt><dd> FFV1</dd>
        <dt>Required parameters:</dt><dd> None.</dd>
        <dt>Optional parameters:</dt><dd><t>These parameters are used to signal the capabilities of a receiver implementation. These parameters <bcp14>MUST NOT</bcp14> be used for any other purpose.</t>
        <dl newline="false">
            <dt><tt>version</tt>:</dt><dd>  The <tt>version</tt> of the FFV1 encoding as defined by <xref target="version"/>.</dd>
            <dt><tt>micro_version</tt>:</dt><dd>  The <tt>micro_version</tt> of the FFV1 encoding as defined by <xref target="micro-version"/>.</dd>
            <dt><tt>coder_type</tt>:</dt><dd>  The <tt>coder_type</tt> of the FFV1 encoding as defined by <xref target="coder-type"/>.</dd>
            <dt><tt>colorspace_type</tt>:</dt><dd>  The <tt>colorspace_type</tt> of the FFV1 encoding as defined by <xref target="colorspace-type"/>.</dd>
            <dt><tt>bits_per_raw_sample</tt>:</dt><dd>  The <tt>bits_per_raw_sample</tt> of the FFV1 encoding as defined by <xref target="bits-per-raw-sample"/>.</dd>

<!-- [rfced] FYI We have updated 'with a frames' to 'within a Frame'
for clarity. Please let us know if other changes are necessary. We will
ask IANA to update the registration
(https://www.iana.org/assignments/media-types/video/FFV1) accordingly.

Original:
      "max_slices":  The value of "max_slices" is an integer indicating
         the maximum count of slices with a frames of the FFV1 encoding.

Current:
      "max_slices":  The value of "max_slices" is an integer indicating
         the maximum count of slices within a Frame of the FFV1 encoding.
-->
            <dt><tt>max_slices</tt>:</dt><dd> The value of <tt>max_slices</tt> is an integer indicating the maximum count of slices Slices within a Frame of the FFV1 encoding.</dd>
        </dl>
        </dd>
        <dt>Encoding considerations:</dt><dd> This media type is defined for encapsulation in several audiovisual container formats and contains binary data; see <xref target="mapping-ffv1-into-containers"/>. This media type is framed binary data; see <xref target="RFC6838" section="4.8" sectionFormat="of" format="default"/>.</dd>
        <dt>Security considerations:</dt><dd> See <xref target="security-considerations"/> of this document.</dd>
        <dt>Interoperability considerations:</dt><dd> None.</dd>
        <dt>Published specification:</dt><dd>RFC 9043.</dd>
        <dt>Applications that use this media type:</dt><dd> Any application that requires the transport of lossless video can use this media type. Some examples are, but not limited to, screen recording, scientific imaging, and digital video preservation.</dd>
        <dt>Fragment identifier considerations:</dt><dd>  N/A.</dd>
        <dt>Additional information:</dt><dd>  None.</dd>
        <dt>Person &amp; email address to contact for further information:</dt><dd><br/>Michael Niedermayer (<eref target="mailto:michael@niedermayer.cc"/>)</dd>
        <dt>Intended usage:</dt><dd>  COMMON</dd>
        <dt>Restrictions on usage:</dt><dd> None.</dd>
        <dt>Author:</dt><dd>Dave Rice (<eref target="mailto:dave@dericed.com"/>)</dd>
        <dt>Change controller:</dt><dd>  IETF CELLAR Working Group delegated from the IESG.</dd>
</dl>
      </section>
    </section>
  </middle>

  <back>

<displayreference target="I-D.ietf-cellar-matroska" to="Matroska"/>
    <references>
      <name>References</name>
    <references>
      <name>Normative References</name>
<!-- [rfced]  FYI  We have updated the title of the following reference:

Original:
   [ISO.9899.2018]
              International Organization for Standardization,
              "Programming languages - C", ISO Standard 9899, 2018.

Current:
   [ISO.9899.2018]
              International Organization for Standardization,
              "Information technology - Programming languages - C", ISO/
              IEC 9899:2018, June 2018.
-->
      <reference anchor="ISO.9899.2018" target="">
        <front>
          <title>Information technology - Programming languages - C</title>
          <author>
            <organization>International Organization for Standardization</organization>
          </author>
          <date year="2018" month="June"/>
        </front>
        <refcontent>ISO/IEC 9899:2018</refcontent>
      </reference>

      <xi:include href="https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.2119.xml"/>
      <xi:include href="https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.4732.xml"/>
      <xi:include href="https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.4855.xml"/>
      <xi:include href="https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.6838.xml"/>
      <xi:include href="https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.8174.xml"/>
    </references>
    <references>

      <name>Informative References</name>

<!-- [Matroska] [I-D.ietf-cellar-matroska] IESG state I-D Exists
03/19/21 Murray Kucherawy requested that [Matroska] be moved from
         normative to informative.
-->
<xi:include href="https://datatracker.ietf.org/doc/bibxml3/reference.I-D.ietf-cellar-matroska.xml"/>

<!-- [rfced]  FYI We have have updated the URL in the following
reference to match the redirect. However, the redirect link is
broken.

Original:
   [AVI]      Microsoft, "AVI RIFF File Reference", undated,
              <https://msdn.microsoft.com/en-us/library/windows/desktop/
              dd318189%28v=vs.85%29.aspx>.

Current:
   [AVI]      Microsoft, "AVI RIFF File Reference",
              <https://docs.microsoft.com/en-
              us/windows/win32/directshow/avi-riff-file-reference>.
-->

      <reference anchor="AVI" target="https://docs.microsoft.com/en-us/windows/win32/directshow/avi-riff-file-reference">
        <front>
          <title>AVI RIFF File Reference</title>
          <author>
            <organization>Microsoft</organization>
          </author>
        </front>
      </reference>

<!-- [rfced]  FYI  We have updated the following reference based on
information found at its URL.

Original:
   [Address-Sanitizer]
              The Clang Team, "ASAN AddressSanitizer website", undated,
              <https://clang.llvm.org/docs/AddressSanitizer.html>.

Current:
   [AddressSanitizer]
              Clang Project, "AddressSanitizer", Clang 12 documentation,
              <https://clang.llvm.org/docs/AddressSanitizer.html>.
-->

      <reference anchor="AddressSanitizer" target="https://clang.llvm.org/docs/AddressSanitizer.html">
        <front>
          <title>AddressSanitizer</title>
          <author>
            <organization>Clang Project</organization>
          </author>
        </front>
         <refcontent>Clang 12 documentation</refcontent>
      </reference>

      <reference anchor="FFV1GO" target="https://github.com/dwbuiten/go-ffv1">
        <front>
          <title>FFV1 Decoder in Go</title>
          <author fullname="Derek Buitenhuis" initials="D." surname="Buitenhuis"/>
          <date year="2019"/>
        </front>
      </reference>

      <reference anchor="FFV1_V0" target="https://git.videolan.org/?p=ffmpeg.git;a=commit;h=b548f2b91b701e1235608ac882ea6df915167c7e">
        <front>
          <title>Commit to mark FFV1 version 0 as non-experimental</title>
          <author fullname="Michael Niedermayer" initials="M." surname="Niedermayer"/>
          <date year="2006" month="April"/>
        </front>
      </reference>

      <reference anchor="FFV1_V1" target="https://git.videolan.org/?p=ffmpeg.git;a=commit;h=68f8d33becbd73b4d0aa277f472a6e8e72ea6849">
        <front>
          <title>Commit to release FFV1 version 1</title>
          <author fullname="Michael Niedermayer" initials="M." surname="Niedermayer"/>
          <date year="2009" month="April"/>
        </front>
      </reference>

      <reference anchor="FFV1_V3" target="https://git.videolan.org/?p=ffmpeg.git;a=commit;h=abe76b851c05eea8743f6c899cbe5f7409b0f301">
        <front>
          <title>Commit to mark FFV1 version 3 as non-experimental</title>
          <author fullname="Michael Niedermayer" initials="M." surname="Niedermayer"/>
          <date year="2013" month="August"/>
        </front>
      </reference>

<!-- [rfced]  FYI  We have updated the title of the following reference
based on information found at its URL.

Original:
   [HuffYUV]  Rudiak-Gould, B., "HuffYUV", December 2003,
              <https://web.archive.org/web/20040402121343/
              http://cultact-server.novi.dk/kpo/huffyuv/huffyuv.html>.

Current:
   [HuffYUV]  Rudiak-Gould, B., "HuffYUV revisited", December 2003,
              <https://web.archive.org/web/20040402121343/
              http://cultact-server.novi.dk/kpo/huffyuv/huffyuv.html>.
-->

      <reference anchor="HuffYUV" target="https://web.archive.org/web/20040402121343/http://cultact-server.novi.dk/kpo/huffyuv/huffyuv.html">
        <front>
          <title>HuffYUV revisited</title>
          <author fullname="Ben Rudiak-Gould" initials="B." surname="Rudiak-Gould"/>
          <date year="2003" month="December"/>
        </front>
      </reference>

      <reference anchor="ISO.14495-1.1999" target="">
        <front>
          <title>Information technology -- Lossless and near-lossless compression of continuous-tone still images: Baseline</title>
          <author>
            <organization>International Organization for Standardization</organization>
          </author>
          <date year="1999" month="December"/>
        </front>
        <refcontent>ISO/IEC 14495-1:1999</refcontent>
      </reference>

      <reference anchor="ISO.14496-10.2014" target="">
        <front>
          <title>Information technology -- Coding of audio-visual objects -- Part 10: Advanced Video Coding</title>
          <author>
            <organization>International Organization for Standardization</organization>
          </author>
          <date year="2014" month="September"/>
        </front>
        <refcontent>ISO/IEC 14496-10:2020</refcontent>
      </reference>

<!-- [rfced] The following informative reference has been withdrawn and
updated by ISO/IEC 14496-12:2020 (https://www.iso.org/standard/74428.html)
Do you wish to update the reference?

Current:
   [ISO.14496-12.2015]
              International Organization for Standardization,
              "Information technology - Coding of audio-visual objects
              - Part 12: ISO base media file format", ISO/IEC
              14496-12:2015, December 2015.
-->

      <reference anchor="ISO.14496-12.2015" anchor="ISO.14496-12.2020" target="">
        <front>
          <title>Information technology -- Coding of audio-visual objects -- Part 12: ISO base media file format</title>
          <author>
            <organization>International Organization for Standardization</organization>
          </author>
          <date year="2015" year="2020" month="December"/>
        </front>
        <refcontent>ISO/IEC 14496-12:2015</refcontent> 14496-12:2020</refcontent>
      </reference>

      <reference anchor="MediaConch" target="https://mediaarea.net/MediaConch">
        <front>
          <title>MediaConch</title>
          <author>
            <organization>MediaArea.net</organization>
          </author>
          <date year="2018"/>
        </front>
      </reference>

      <reference anchor="NUT" target="https://ffmpeg.org/~michael/nut.txt">
        <front>
          <title>NUT Open Container Format</title>
          <author fullname="Michael Niedermayer" initials="M." surname="Niedermayer"/>
          <date year="2013" month="December"/>
        </front>
      </reference>

<!-- [rfced] Regarding [REFIMPL], the title of the reference
seems to be more specific than the provided URL. Should the
URL be updated to point to the actual implementation (e.g.,
https://ffmpeg.org/doxygen/trunk/ffv1_8h.html)?

Original:
   [REFIMPL]  Niedermayer, M., "The reference FFV1 implementation / the
              FFV1 codec in FFmpeg", undated, <https://ffmpeg.org>.
-->
      <reference anchor="REFIMPL" target="https://ffmpeg.org">
        <front>
          <title>The reference FFV1 implementation / the FFV1 codec in FFmpeg</title>
          <author fullname="Michael Niedermayer" initials="M." surname="Niedermayer"/>
        </front>
      </reference>

      <reference anchor="Valgrind" target="https://valgrind.org/">
        <front>
          <title>Valgrind website</title>
          <author>
            <organization>Valgrind Developers</organization>
          </author>
        </front>
      </reference>

      <reference anchor="YCbCr"
target="https://en.wikipedia.org/w/index.php?title=YCbCr&amp;oldid=1025097882">
        <front>
          <title>YCbCr</title>
          <author>
            <organization>Wikipedia</organization>
          </author>
	  <date month="May" day="25" year="2021"/>
        </front>
      </reference>

      <reference anchor="Range-Encoding" target="">
        <front>
          <title>Range encoding: an algorithm for removing redundancy from a digitised message</title>
          <author fullname="G. N. N. Martin" initials="G. N. N." surname="Martin"/>
          <date year="1979" month="July"/>
        </front>
        <refcontent>Proceedings of the Conference on Video and Data Recording</refcontent>
        <refcontent>Institution of Electronic and Radio Engineers, Hampshire, England</refcontent>
      </reference>

      <xi:include href="https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.6716.xml"/>

<!-- [rfced]  We note that ISO/IEC 15444-1:2016 has been withdrawn
and updated by ISO/IEC 15444-1:2019 (https://www.iso.org/standard/78321.html).
Should the following normative reference be updated?

Current:
   [ISO.15444-1.2016]
              International Organization for Standardization,
              "Information technology - JPEG 2000 image coding system:
              Core coding system", ISO/IEC 15444-1:2016, October 2016.
-->

      <reference anchor="ISO.15444-1.2016" anchor="ISO.15444-1.2019" target="">
        <front>
          <title>Information technology -- JPEG 2000 image coding system: Core coding system</title>
          <author>
            <organization>International Organization for Standardization</organization>
          </author>
          <date year="2016" year="2019" month="October"/>
        </front>
          <refcontent>ISO/IEC 15444-1:2016</refcontent> 15444-1:2019</refcontent>
      </reference>

    </references>
</references>
    <section anchor="multi-theaded-decoder-implementation-suggestions">
      <name>Multithreaded Decoder Implementation Suggestions</name>
      <t>This appendix is informative.</t>
      <t>The FFV1 bitstream is parsable in two ways: in sequential order as described in this document or with the pre-analysis of the footer of each slice. Slice. Each slice Slice footer contains a <tt>slice_size</tt> field so the boundary of each slice Slice is computable without having to parse the slice Slice content. That allows multithreading as well as independence of slice Slice content (a bitstream error in a slice Slice header or slice Slice content has no impact on the decoding of the other slices).</t> Slices).</t>
      <t>After having checked the <tt>keyframe</tt> field, a decoder <bcp14>SHOULD</bcp14> parse <tt>slice_size</tt> fields, from <tt>slice_size</tt> of the last slice Slice at the end of the <tt>Frame</tt> up to <tt>slice_size</tt> of the first slice Slice at the beginning of the <tt>Frame</tt> before parsing slices, Slices, in order to have slice Slice boundaries. A decoder <bcp14>MAY</bcp14> fall back on sequential order e.g., in case of a corrupted <tt>Frame</tt> (e.g., frame size unknown or <tt>slice_size</tt> of slices Slices not coherent) or if there is no possibility of seeking into the stream.</t>
    </section>
    <section anchor="future-handling-of-some-streams-created-by-non-conforming-encoders">
      <name>Future Handling of Some Streams Created by Nonconforming Encoders</name>
<!-- [rfced]  We note that normative text is found in Appendix B
but the introductory sentence says that it is informative.  We
suggest either removing the following:

Current:
   This appendix is informative.

Or modifying the text in following so that it does not use a
normative text keyword (SHOULD):

Current:
   Any revision of this specification SHOULD care about
   avoiding the addition of 40 bits of content after "SliceContent" if
   "version == 0" or "version == 1", otherwise a decoder conforming to
   the revised specification could not distinguish between a revised
   bitstream and such buggy bitstream in the wild.

Note that we have updated the above from the original:

Original:
   Any revision of this specification SHOULD care about
   avoiding to add 40 bits of content after "SliceContent" if
   "version" == 0 or "version" == 1 ...
-->
      <t>This appendix is informative.</t>
      <t>Some bitstreams were found with 40 extra bits corresponding to <tt>error_status</tt> and <tt>slice_crc_parity</tt> in the <tt>reserved</tt> bits of <tt>Slice</tt>. Any revision of this specification <bcp14>SHOULD</bcp14> care about avoiding the addition of 40 bits of content after <tt>SliceContent</tt> if <tt>version == 0</tt> or <tt>version == 1</tt>, otherwise a decoder conforming to the revised specification could not distinguish between a revised bitstream and such buggy bitstream in the wild.</t>
    </section>

    <section anchor="ffv1-implementations">
      <name>FFV1 Implementations</name>
      <t>This appendix provides references to a few notable implementations of FFV1.</t>
      <section anchor="ffmpeg-ffv1-codec">
        <name>FFmpeg FFV1 Codec</name>
        <t>This reference implementation <xref target="REFIMPL"/> contains no known buffer overflow or cases where a specially crafted packet or video segment could cause a significant increase in CPU load.</t>
        <t>The reference implementation <xref target="REFIMPL"/> was validated in the following conditions:</t>
        <ul>
          <li>Sending the decoder valid packets generated by the reference encoder and verifying that the decoder's output matches the encoder's input.</li>
          <li>Sending the decoder packets generated by the reference encoder and then subjected to random corruption.</li>
          <li>Sending the decoder random packets that are not FFV1.</li>
        </ul>
        <t>In all of the conditions above, the decoder and encoder was run inside the Valgrind memory debugger <xref target="Valgrind"/> as well as the Clang AddressSanitizer <xref target="AddressSanitizer"/>, which tracks reads and writes to invalid memory regions as well as the use of uninitialized memory.  There were no errors reported on any of the tested conditions.</t>
      </section>
      <section anchor="ffv1-decoder-in-go">
        <name>FFV1 Decoder in Go</name>
        <t>An FFV1 decoder <xref target="FFV1GO"/> was written in Go by Derek Buitenhuis during the work to develop this document.</t>
      </section>
      <section anchor="mediaconch">
        <name>MediaConch</name>
<!-- [rfced]  FYI  The following sentence mentions an older version
of the document. To clarify that the issues have been addressed, we
have updated it:

Current:
   This work led to the discovery of three conflicts
   between existing FFV1 implementations and this document without the
   added exceptions.

Perhaps:
   This work led to the discovery of three conflicts
   between existing FFV1 implementations and draft versions of this
   document. These issues are addressed by Sections 3.3.1 and 3.7.2.1
   and Appendix B.
-->
        <t>The developers of the MediaConch project <xref target="MediaConch"/> created an independent FFV1 decoder as part of that project to validate FFV1 bitstreams. This work led to the discovery of three conflicts between existing FFV1 implementations and this document without the added exceptions.</t>
      </section>
    </section>
  </back>
</rfc>