RFC 9043

FFV1 Video Coding Format Versions 0, 1, and 3

๐Ÿ“… published August 2021, from ietf

FFV1 Video Coding Format Versions 0, 1, and 3 ๐ŸŽ€

Okay bestie, this is the title block ๐Ÿ’– It's giving official paperwork, so here's the tea:

  • Series: Internet Engineering Task Force (IETF) ๐ŸŒธ
  • RFC number: 9043 โœจ
  • Authors: M. Niedermayer, D. Rice, and J. Martinez ๐Ÿ‘‘
  • Category: Informational ๐Ÿฆ‹
  • ISSN: 2070-1721
  • Date: August 2021 ๐Ÿงš
  • Obsoletes and updates: nothing is listed in this title block, so I'm not claiming anything ๐Ÿ™ˆ

Abstract

This document defines FFV1, a lossless, intra-frame video encoding format. FFV1 is built to squish video data down efficiently across a whole bunch of pixel formats ๐Ÿ’… Compared to uncompressed video, FFV1 gives you storage compression, frame fixity, and self-description. That's why it's so useful as a preservation or intermediate video format ๐ŸŒˆ

Status of This Memo

This document is not an Internet Standards Track specification. It's published for informational purposes ๐Ÿ“š

This document is a product of the Internet Engineering Task Force (IETF). It represents the consensus of the IETF community. It went through public review and got approved for publication by the Internet Engineering Steering Group (IESG). Not every document the IESG approves is a candidate for any level of Internet Standard, so see Section 2 of RFC 7841 ๐Ÿซถ

Info about the current status of this document, any errata, and how to give feedback on it can be found at https://www.rfc-editor.org/info/rfc9043 ๐Ÿ’œ

Copyright (c) 2021 IETF Trust and the persons identified as the document authors. All rights reserved.

This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (https://trustee.ietf.org/license-info) as in effect on the date of publication of this document. Please read these carefully, because they spell out your rights and restrictions for this document. Code Components extracted from this document must include Simplified BSD License text as described in Section 4.e of the Trust Legal Provisions, and they're provided without warranty as described in the Simplified BSD License โš ๏ธ

Table of Contents

   1.  Introduction
   2.  Notation and Conventions
     2.1.  Definitions
     2.2.  Conventions
       2.2.1.  Pseudocode
       2.2.2.  Arithmetic Operators
       2.2.3.  Assignment Operators
       2.2.4.  Comparison Operators
       2.2.5.  Mathematical Functions
       2.2.6.  Order of Operation Precedence
       2.2.7.  Range
       2.2.8.  NumBytes
       2.2.9.  Bitstream Functions
   3.  Sample Coding
     3.1.  Border
     3.2.  Samples
     3.3.  Median Predictor
       3.3.1.  Exception
     3.4.  Quantization Table Sets
     3.5.  Context
     3.6.  Quantization Table Set Indexes
     3.7.  Color Spaces
       3.7.1.  YCbCr
       3.7.2.  RGB
     3.8.  Coding of the Sample Difference
       3.8.1.  Range Coding Mode
       3.8.2.  Golomb Rice Mode
   4.  Bitstream
     4.1.  Quantization Table Set
       4.1.1.  "quant_tables"
       4.1.2.  "context_count"
     4.2.  Parameters
       4.2.1.  "version"
       4.2.2.  "micro_version"
       4.2.3.  "coder_type"
       4.2.4.  "state_transition_delta"
       4.2.5.  "colorspace_type"
       4.2.6.  "chroma_planes"
       4.2.7.  "bits_per_raw_sample"
       4.2.8.  "log2_h_chroma_subsample"
       4.2.9.  "log2_v_chroma_subsample"
       4.2.10. "extra_plane"
       4.2.11. "num_h_slices"
       4.2.12. "num_v_slices"
       4.2.13. "quant_table_set_count"
       4.2.14. "states_coded"
       4.2.15. "initial_state_delta"
       4.2.16. "ec"
       4.2.17. "intra"
     4.3.  Configuration Record
       4.3.1.  "reserved_for_future_use"
       4.3.2.  "configuration_record_crc_parity"
       4.3.3.  Mapping FFV1 into Containers
     4.4.  Frame
     4.5.  Slice
     4.6.  Slice Header
       4.6.1.  "slice_x"
       4.6.2.  "slice_y"
       4.6.3.  "slice_width"
       4.6.4.  "slice_height"
       4.6.5.  "quant_table_set_index_count"
       4.6.6.  "quant_table_set_index"
       4.6.7.  "picture_structure"
       4.6.8.  "sar_num"
       4.6.9.  "sar_den"
     4.7.  Slice Content
       4.7.1.  "primary_color_count"
       4.7.2.  "plane_pixel_height"
       4.7.3.  "slice_pixel_height"
       4.7.4.  "slice_pixel_y"
     4.8.  Line
       4.8.1.  "plane_pixel_width"
       4.8.2.  "slice_pixel_width"
       4.8.3.  "slice_pixel_x"
       4.8.4.  "sample_difference"
     4.9.  Slice Footer
       4.9.1.  "slice_size"
       4.9.2.  "error_status"
       4.9.3.  "slice_crc_parity"
   5.  Restrictions
   6.  Security Considerations
   7.  IANA Considerations
     7.1.  Media Type Definition
   8.  References
     8.1.  Normative References
     8.2.  Informative References
   Appendix A.  Multithreaded Decoder Implementation Suggestions
   Appendix B.  Future Handling of Some Streams Created by
           Nonconforming Encoders
   Appendix C.  FFV1 Implementations
     C.1.  FFmpeg FFV1 Codec
     C.2.  FFV1 Decoder in Go
     C.3.  MediaConch
   Authors' Addresses

1. Introduction ๐ŸŒŸ

This document describes FFV1, a lossless video encoding format. Its design thinks about storing image characteristics, data fixity, and using encoding time and storage well. FFV1 is meant to handle a wide range of lossless video stuff, like long-term audiovisual preservation, scientific imaging, screen recording, and other encoding scenarios that want to dodge the generational loss you get from lossy video ๐Ÿ’…

This document defines versions 0, 1, and 3 of FFV1. The differences between the versions show up throughout the document, but here's the quick version:

  • Version 0 was the original FFV1 and got flagged as stable on April 14, 2006 [FFV1_V0] ๐Ÿ“
  • Version 1 added support for more video bit depths and got flagged as stable on April 24, 2009 [FFV1_V1] ๐ŸŒธ
  • Version 2 only ever existed in experimental form. It isn't described by this document, but it's available as a LyX file at <https://github.com/FFmpeg/FFV1/blob/8ad772b6d61c3dd8b0171979a2cd9f11924d5532/ffv1.lyx>. ๐Ÿ™ˆ
  • Version 3 adds a bunch of extras, like more detailed descriptions of the characteristics of the encoded images and embedded Cyclic Redundancy Check (CRC) data so fixity can be verified. It got flagged as stable on August 17, 2013 [FFV1_V3] ๐Ÿ”ฅ

This document assumes you're comfortable with mathematical and coding concepts like Range encoding [Range-Encoding] and YCbCr color spaces [YCbCr] ๐Ÿงš

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 do whatever it deems appropriate for an invalid bitstream: reject it, attempt error concealment, or re-download or use a redundant copy of the invalid part ๐Ÿฆ‹

2. Notation and Conventions ๐Ÿ’œ

The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all capitals, as shown here ๐Ÿซถ

2.1. Definitions ๐Ÿ“–

FFV1: 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" โœจ

Container: A format that encapsulates Frames (see Section 4.4) and (when required) a "Configuration Record" into a bitstream ๐Ÿ“ฆ

Sample: 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 ๐ŸŒˆ

Symbol: A value stored in the bitstream, which is defined and decoded through one of the methods described in Table 4 ๐Ÿ”ข

Line: A discrete component of a static image composed of Samples that represent a specific quantification of Samples of that image ๐Ÿ“

Plane: A discrete component of a static image composed of Lines that represent a specific quantification of Lines of that image ๐Ÿ—‚๏ธ

Pixel: The smallest addressable representation of a color in a Frame. It's composed of one or more Samples ๐ŸŽจ

MSB: Most Significant Bit, the bit that can cause the largest change in magnitude of the symbol ๐Ÿ’ฅ

VLC: Variable Length Code, a code that maps source symbols to a variable number of bits ๐ŸŽ€

RGB: A reference to the method of storing the value of a pixel by using three numeric values that represent Red, Green, and Blue โค๏ธ

YCbCr: 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 (luma, blue-difference chroma, red-difference chroma), YCgCo, or ICtCp (intensity, blue-yellow, red-green) ๐ŸŒท

2.2. Conventions ๐Ÿง

2.2.1. Pseudocode ๐Ÿง 

The FFV1 bitstream is described in this document using pseudocode. The pseudocode is there to illustrate the structure of FFV1, and it's not meant to specify any particular implementation. It's based on the C programming language [ISO.9899.2018] and uses its "if/else", "while", and "for" keywords, along with functions defined within this document ๐Ÿ’ป

Sometimes pseudocode is shown in a two-column format, like Figure 1. In this form, the "type" column gives a symbol, as defined in Table 4, that defines the storage of the data referenced on that same line of pseudocode ๐Ÿ‘€

pseudocode                                                    | type
--------------------------------------------------------------|-----
ExamplePseudoCode( ) {                                        |
    value                                                     | ur
}                                                             |

  Figure 1: A depiction of type-labeled pseudocode used within this
                                document.

2.2.2. Arithmetic Operators โž•

Note: the operators and the order of precedence are the same as in the C programming language [ISO.9899.2018], with the exception of the ">>" (removal of implementation-defined behavior) and "^" (power instead of XOR) operators, which are redefined within this section ๐Ÿ™Œ

  • "a + b" means a plus b.
  • "a - b" means a minus b.
  • "-a" means negation of a.
  • "a * b" means a multiplied by b.
  • "a / b" means a divided by b.
  • "a ^ b" means a raised to the b-th power.
  • "a & b" means bitwise "and" of a and b.
  • "a | b" means bitwise "or" of a and b.
  • "a >> b" 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 ๐Ÿ“‰
  • "a << b" means arithmetic left shift of the two's complement integer representation of a by b binary digits ๐Ÿ“ˆ

2.2.3. Assignment Operators ๐Ÿ“

  • "a = b" means a is assigned b.
  • "a++" is equivalent to a is assigned a + 1.
  • "a--" is equivalent to a is assigned a - 1.
  • "a += b" is equivalent to a is assigned a + b.
  • "a -= b" is equivalent to a is assigned a - b.
  • "a *= b" is equivalent to a is assigned a * b.

2.2.4. Comparison Operators

okay bestie, comparison operators time ๐Ÿ‘€โœจ these are how you ask "is this bigger, smaller, or the same?" ๐Ÿ’…

a > b is true when a is greater than b.

a >= b is true when a is greater than or equal to b.

a < b is true when a is less than b.

a <= b is true when a is less than or equal b.

a == b is true when a is equal to b.

a != b is true when a is not equal to b.

a && b is true when both a is true and b is true. ๐Ÿซถ

a || b is true when either a is true or b is true.

!a is true when a is not true.

a ? b : c if a is true, then b, otherwise c. ๐ŸŽ€

2.2.5. Mathematical Functions

the math toolbox ๐Ÿงฎ๐ŸŒธ these are the little helpers you'll keep reaching for, so let's get them straight ๐Ÿ’–

floor(a) means the largest integer less than or equal to a.

ceil(a) means the smallest integer greater than or equal to a.

sign(a) extracts the sign of a number, i.e., if a < 0 then -1, else if a > 0 then 1, else 0. โœจ

abs(a) means the absolute value of a, i.e., abs(a) = sign(a) * a.

log2(a) means the base-two logarithm of a.

min(a,b) means the smaller of two values a and b.

max(a,b) means the larger of two values a and b.

median(a,b,c) means the numerical middle value in a data set of a, b, and c, i.e., a+b+c-min(a,b,c)-max(a,b,c). the middle one is literally just everything minus the smallest and biggest ๐Ÿ˜ญ๐Ÿ”ฅ

a ==> b means a implies b.

a <==> b means a ==> b, b ==> a. so it's a two-way implication, iykyk ๐Ÿฆ‹

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.

2.2.6. Order of Operation Precedence

when there are no parentheses telling you what goes first, operations run in the order below (top to bottom, and operations of the same precedence run left to right). this order is based on the order of operations used in Standard C, so if you already know C, you're already ahead ๐ŸŒˆ๐Ÿ‘‘

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

2.2.7. Range

a...b means any value from a to b, inclusive. ๐Ÿ“

2.2.8. NumBytes

"NumBytes" is a nonnegative integer that expresses the size in 8-bit octets of a particular FFV1 "Configuration Record" or "Frame". FFV1 relies on its container to store the "NumBytes" values; see Section 4.3.3. so the container is the one holding the size info, not FFV1 itself ๐Ÿ“ฆ๐Ÿ’œ

2.2.9. Bitstream Functions

these are the little reader helpers that walk through the bits ๐Ÿงšโœจ

2.2.9.1. remaining_bits_in_bitstream

remaining_bits_in_bitstream( NumBytes ) means the count of remaining bits after the pointer in that "Configuration Record" or "Frame". It is computed from the "NumBytes" value multiplied by 8 minus the count of bits of that "Configuration Record" or "Frame" already read by the bitstream parser. basically: total bits minus bits already eaten ๐Ÿฐ

2.2.9.2. remaining_symbols_in_syntax

remaining_symbols_in_syntax( ) is true as long as the range coder has not consumed all the given input bytes. ๐Ÿซง

2.2.9.3. byte_aligned

byte_aligned( ) is true if remaining_bits_in_bitstream( NumBytes ) is a multiple of 8, otherwise false. so it's true when you're sitting exactly on a byte boundary ๐ŸŽฏ

2.2.9.4. get_bits

get_bits( i ) is the action to read the next i bits in the bitstream, from most significant bit to least significant bit, and to return the corresponding value. The pointer is increased by i. read the bits, hand back the value, move the pointer forward. that's it, that's the whole vibe ๐Ÿ’…๐Ÿฆ‹


3. Sample Coding

for each "Slice" (as described in Section 4.5) of a Frame, the Planes, Lines, and Samples are coded in an order determined by the color space (see Section 3.7). each Sample is predicted by the median predictor as described in Section 3.3 from other Samples within the same Plane, and the difference is stored using the method described in Section 3.8. this is the core glow-up of the whole codec ๐ŸŒŸโœจ

3.1. Border

a border is assumed for each coded "Slice" for the purpose of the median predictor and context according to the following rules: ๐Ÿ–ผ๏ธ

  • One column of Samples to the left of the coded Slice is assumed as identical to the Samples of the leftmost column of the coded Slice shifted down by one row. The value of the topmost Sample of the column of Samples to the left of the coded Slice is assumed to be "0".
  • One column of Samples to the right of the coded Slice is assumed as identical to the Samples of the rightmost column of the coded Slice.
  • An additional column of Samples to the left of the coded Slice and two rows of Samples above the coded Slice are assumed to be "0".

Figure 2 depicts a Slice of nine Samples "a,b,c,d,e,f,g,h,i" in a three-by-three arrangement along with its assumed border. picture time ๐Ÿ“ธ

+---+---+---+---+---+---+---+---+
| 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 |
+---+---+---+---+---+---+---+---+

     Figure 2: A depiction of FFV1's assumed border for a set of
                           example Samples.

3.2. Samples

relative to any Sample "X", six other relatively positioned Samples from the coded Samples and presumed border are identified according to the labels used in Figure 3. the labels for these relatively positioned Samples are used within the median predictor and context. ๐Ÿงญ

+---+---+---+---+
|   |   | T |   |
+---+---+---+---+
|   |tl | t |tr |
+---+---+---+---+
| L | l | X |   |
+---+---+---+---+

    Figure 3: A depiction of how relatively positioned Samples are
                   referenced within this document.

the labels for these relative Samples are made of the first letters of the words Top, Left, and Right. so T is top, L is left, and so on ๐Ÿ’œ

3.3. Median Predictor

the prediction for any Sample value at position "X" may be computed based upon the relative neighboring values of "l", "t", and "tl" via this equation: ๐Ÿ”ฎ

median(l, t, l + t - tl)

note that this prediction template is also used in [ISO.14495-1.1999] and [HuffYUV]. it's a shared glow-up across codecs ๐Ÿค

3.3.1. Exception

if colorspace_type == 0 && bits_per_raw_sample == 16 && ( coder_type == 1 || coder_type == 2 ) (see Sections 4.2.5, 4.2.7, and 4.2.3), the following median predictor MUST be used:

median(left16s, top16s, left16s + top16s - diag16s)

where:

left16s = l  >= 32768 ? ( l  - 65536 ) : l
top16s  = t  >= 32768 ? ( t  - 65536 ) : t
diag16s = tl >= 32768 ? ( tl - 65536 ) : tl
โš ๏ธ okay this one is a little plot twist, so pay attention ๐Ÿ‘€

background: a two's complement 16-bit signed integer was used for storing Sample values in all known implementations of FFV1 bitstream (see Appendix C). 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 coder type, as the other potentially impacted configurations (e.g., the 15/16-bit JPEG 2000 Reversible Color Transform (RCT) [ISO.15444-1.2019] 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. it is expected (to be confirmed) that this exception for the median predictor will be removed in the next version of the FFV1 bitstream. ๐Ÿฅบ๐ŸŒˆ

3.4. Quantization Table Sets

quantization Tables are used on Sample Differences (see Section 3.8), so Quantized Sample Differences are stored in the bitstream. ๐ŸŽ€

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:

Q_j[k] = quant_tables[i][j][k&255]
 Figure 4: Description of the mapping from sample differences to the
             corresponding Quantized Sample Differences.

in this formula, "i" is the Quantization Table Set index, "j" is the Quantized Table index, and "k" is the Quantized Sample Difference (see Section 4.1.1). ๐Ÿงฎ๐Ÿ’–

3.5. Context

relative to any Sample "X", the Quantized Sample Differences "L-l", "l-tl", "tl-t", "T-t", and "t-tr" are used as context: ๐Ÿงฉ

context = Q_0[l - tl] +
          Q_1[tl - t] +
          Q_2[t - tr] +
          Q_3[L - l]  +
          Q_4[T - t]

        Figure 5: Description of the computing of the Context.

if context >= 0 then "context" is used, and the difference between the Sample and its predicted value is encoded as is; else "-context" is used, and the difference between the Sample and its predicted value is encoded with a flipped sign. โœจ

3.6. Quantization Table Set Indexes

for each Plane of each Slice, a Quantization Table Set is selected from an index: ๐Ÿ“‡

  • For Y Plane, "quant_table_set_index[ 0 ]" index is used.
  • For Cb and Cr Planes, "quant_table_set_index[ 1 ]" index is used.
  • For extra Plane, "quant_table_set_index[ (version <= 3 || chroma_planes) ? 2 : 1 ]" index is used.

Background: in the first implementations of the FFV1 bitstream, the index for Cb and Cr Planes was stored even if it was not used ("chroma_planes" set to 0), this index is kept for "version <= 3" in order to keep compatibility with FFV1 bitstreams in the wild. so the old quirks are preserved on purpose ๐Ÿฆ‹๐Ÿ•ฐ๏ธ

3.7. Color Spaces

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. ๐ŸŒธ

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. two different orders, same goal ๐Ÿซถ

3.7.1. YCbCr

this color space allows one to four Planes. ๐ŸŒˆ

The Cb and Cr Planes are optional, but if they are used, then they MUST be used together. Omitting the Cb and Cr Planes codes the frames in gray scale without color data. so no color = grayscale, the chic monochrome era ๐Ÿ–ค๐Ÿฉถ

An optional transparency Plane can be used to code transparency data. ๐Ÿซง

An FFV1 Frame using YCbCr MUST use one of the following arrangements:

  • Y
  • Y, Transparency
  • Y, Cb, Cr
  • Y, Cb, Cr, Transparency

The Y Plane MUST be coded first. If the Cb and Cr Planes are used, then they MUST be coded after the Y Plane. If a transparency Plane is used, then it MUST be coded last. order matters, bestie, don't mix it up ๐Ÿ’…๐Ÿ‘‘

3.7.2. RGB ๐ŸŒˆ

okay so this color space allows three or four Planes ๐Ÿ’–

an optional transparency Plane can be used to code transparency data ๐Ÿซง

JPEG 2000 RCT is a Reversible Color Transform that codes RGB (Red, Green, Blue) Planes losslessly in a modified YCbCr color space [ISO.15444-1.2019]. the reversible pixel transformations between YCbCr and RGB use these formulae, bestie ๐Ÿ’…

Cb = b - g
Cr = r - g
Y = g + (Cb + Cr) >> 2

Figure 6: Description of the transformation of pixels from RGB color space to coded, modified YCbCr color space.

g = Y - (Cb + Cr) >> 2
r = Cr + g
b = Cb + g

Figure 7: Description of the transformation of pixels from coded, modified YCbCr color space to RGB color space.

Cb and Cr get positively offset by "1 << bits_per_raw_sample" after the RGB to modified YCbCr conversion, and they get negatively offset by that same value before the modified YCbCr to RGB conversion. the whole point is to only have nonnegative values after the conversion ๐Ÿซถ

when FFV1 uses the JPEG 2000 RCT, the horizontal Lines get interleaved to improve caching efficiency ๐Ÿงš this is because the JPEG 2000 RCT will most likely get converted to RGB right away during decoding. the interleaved coding order is also Y, then Cb, then Cr, and then, if used, transparency.

as an example, a Frame that is two pixels wide and two pixels high could look like this:

+------------------------+------------------------+
| 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) |
+------------------------+------------------------+

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 ๐Ÿ‘‘

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)

3.7.2.1. RGB Exception โš ๏ธ

If "bits_per_raw_sample" is between 9 and 15 inclusive and "extra_plane" is 0, the following formulae for reversible conversions between YCbCr and RGB MUST be used instead of the ones above ๐Ÿ™ˆ

Cb = g - b
Cr = r - b
Y = b + (Cb + Cr) >> 2

Figure 8: Description of the transformation of pixels from RGB color space to coded, modified YCbCr color space (in case of exception).

b = Y - (Cb + Cr) >> 2
r = Cr + b
g = Cb + b

Figure 9: Description of the transformation of pixels from coded, modified YCbCr color space to RGB color space (in case of exception).

Background: at the time of this writing, in all known implementations of the FFV1 bitstream, when "bits_per_raw_sample" was between 9 and 15 inclusive and "extra_plane" was 0, Green Blue Red (GBR) Planes were used as Blue Green Red (BGR) Planes during both encoding and decoding ๐Ÿ’€ 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 ๐Ÿ”ฎ


3.8. Coding of the Sample Difference ๐ŸŽ€

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 that is enough to recover the original Sample โœจ in Figure 10, the term "bits" stands for "bits_per_raw_sample + 1" for JPEG 2000 RCT, or "bits_per_raw_sample" otherwise:

coder_input = ((sample_difference + 2 ^ (bits - 1)) &
              (2 ^ bits - 1)) - 2 ^ (bits - 1)

Figure 10: Description of the coding of the Sample Difference in the bitstream.

3.8.1. Range Coding Mode ๐Ÿฆ‹

early experimental versions of FFV1 used the Context-Adaptive Binary Arithmetic Coding (CABAC) coder from H.264 as defined in [ISO.14496-10.2020]. but due to the uncertain patent/royalty situation, as well as its slightly worse performance, CABAC got replaced by a range coder based on an algorithm defined by G. Nigel N. Martin in 1979 [Range-Encoding] ๐Ÿ“

3.8.1.1. Range Binary Values ๐Ÿ’œ

to encode binary digits efficiently, a range coder is used. a 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 from the surrounding image sample values when coding the Sample Differences. the coding of integers is done by coding multiple binary values. the range decoder reads bytes until it can determine which subrange the input falls into, so it can return the next binary symbol ๐Ÿ˜ญ

to describe Range coding for FFV1, these values are used:

  • C_i the i-th context.
  • B_i the i-th byte of the bytestream.
  • R_i the Range at the i-th symbol.
  • r_i the boundary between two subranges of R_i: a subrange of r_i values and a subrange R_i - r_i values.
  • L_i the Low value of the Range at the i-th symbol.
  • l_i a temporary variable to carry over or adjust the Low value of the Range between range coding operations.
  • t_i a temporary variable to transmit subranges between range coding operations.
  • b_i the i-th range-coded binary value.
  • S_(0, i) the i-th initial state.
  • j_n the length of the bytestream encoding n binary symbols.

the following range coder state variables get initialized to these values. the Range is initialized to a value of 65,280 (expressed in base 16 as 0xFF00), as shown in Figure 11. the Low is initialized according to the value of the first two bytes, as shown in Figure 12. j_i tracks the length of the bytestream encoding while incrementing from an initial value of j_0 to a final value of j_n. j_0 is initialized to 2, as shown in Figure 13 ๐Ÿง

R_0 = 65280

Figure 11: The initial value for the Range.

L_0 = 2 ^ 8 * B_0 + B_1

Figure 12: The initial value for Low is set according to the first two bytes of the bytestream.

j_0 = 2

Figure 13: The initial value for "j", the length of the bytestream encoding.

these equations define how the range coder variables evolve as it reads or writes symbols ๐Ÿ“

r_i = floor( ( R_i * S_(i, C_i) ) / 2 ^ 8 )

Figure 14: This formula shows the positioning of range split based on the state.

      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

Figure 15: This formula shows the linking of the decoded symbol (represented as b_i), the updated state (represented as S_(i+1,C_i)), and the updated range (represented as a range from l_i to t_i).

C_i != k ==> S_(i + 1, k) = S_(i, k)

Figure 16: If the value of "k" 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.

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

Figure 17: This formula shows the linking of the range coder with the reading or writing of the bytestream.

range = 0xFF00;
end   = 0;
low   = get_bits(16);
if (low >= range) {
    low = range;
    end = 1;
}

Figure 18: A pseudocode description of the initialization of range coder variables in Range binary mode.

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;
            }
        }
    }
}

Figure 19: A pseudocode description of refilling the binary value buffer of the range coder.

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;
    }
}

Figure 20: A pseudocode description of the read of a binary value in Range binary mode.

3.8.1.1.1. Termination ๐ŸŒธ

the range coder can be used in three modes:

  • 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.
  • 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.
  • In Sentinel mode, the exact length in bytes is not known, and thus the range decoder MAY 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 SHALL 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.

the above describes the range decoding. Encoding is defined as any process that produces a decodable bytestream ๐Ÿซง

there are three places where range coder termination is needed in FFV1. the first is in the "Configuration Record", where the size of the range-coded bytestream is known and handled as Closed mode. the second is the switch from the "Slice Header", which is range coded, to Golomb-coded Slices as Sentinel mode. the third is the end of range-coded 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 ๐ŸŽ€

3.8.1.2. Range Nonbinary Values โœจ

Okay so, encoding plain integers. You could encode each bit on its own and use the past bits as context ๐Ÿง , but ngl that's 255 contexts per 8-bit symbol. That's a memory hog ๐Ÿ’€, and you'd need way more past data before the probabilities are even decent. You could also assume a Laplacian distribution and only track its variance and mean, like Huffman coding does. But for max flexibility and simplicity, this method uses one symbol to ask "is it zero?" and if it isn't zero, it encodes the exponent, mantissa, and sign. The exact contexts are best shown in Figure 21 ๐Ÿฆ‹

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;
    }
}

Figure 21: A pseudocode description of the contexts of Range nonbinary values.

get_symbol is used for the read out of sample_difference indicated in Figure 10 ๐Ÿ’–

get_rac returns a boolean computed from the bytestream as described by the formula found in Figure 14 and by the pseudocode found in Figure 20 ๐ŸŽ€

3.8.1.3. Initial Values for the Context Model ๐ŸŒธ

When the keyframe value (see Section 4.4) is 1, all range coder state variables get reset to their initial state. Fresh start, bestie ๐Ÿงš

3.8.1.4. State Transition Table ๐Ÿ”ฅ

In Range Coding Mode, there's a state transition table that tells the decoder which state to move to, based on the current state and the value pulled from Figure 20. It's giving lookup table energy ๐Ÿ‘‘

one_state_i =
       default_state_transition_i + state_transition_delta_i

Figure 22: Description of the coding of the state transition table for a get_rac readout value of 1.

zero_state_i = 256 - one_state_(256-i)

Figure 23: Description of the coding of the state transition table for a get_rac readout value of 0.

3.8.1.5. default_state_transition ๐Ÿ“

By default, this state transition table is used:

  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,

Figure 24: Default state transition table for Range coding.

3.8.1.6. Alternative State Transition Table ๐Ÿฆ„

The alternative state transition table was built using iterative minimization of frame sizes, and it generally performs better than the default. To use it, the coder_type (see Section 4.2.3) MUST be set to 2, and the difference to the default MUST be stored in the Parameters, see Section 4.2. At the time of writing, the reference implementation of FFV1 in FFmpeg uses Figure 25 by default when Range coding is used ๐Ÿ™Œ

  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,

Figure 25: Alternative state transition table for Range coding.

3.8.2. Golomb Rice Mode ๐Ÿง

The end of the bitstream of the Frame gets padded with zeroes until the bitstream holds a multiple of eight bits ๐Ÿซถ

3.8.2.1. Signed Golomb Rice Codes ๐Ÿ’œ

This coding mode uses Golomb Rice codes. The VLC is split into two parts: the prefix and the suffix. The prefix stores the most significant bits, or it signals that the symbol is too large to store normally (this is the ESC case, see Section 3.8.2.1.1). The suffix either stores the k least significant bits, or it stores the whole number in the ESC case ๐Ÿ’…

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;
}

Figure 26: A pseudocode description of the read of an unsigned integer in Golomb Rice mode.

int get_sr_golomb(k) {
    v = get_ur_golomb(k);
    if (v & 1) return - (v >> 1) - 1;
    else       return   (v >> 1);
}

Figure 27: A pseudocode description of the read of a signed integer in Golomb Rice mode.

3.8.2.1.1. Prefix ๐Ÿฆ‹

                    +================+=======+
                    | bits           | value |
                    +================+=======+
                    | 1              | 0     |
                    +----------------+-------+
                    | 01             | 1     |
                    +----------------+-------+
                    | ...            | ...   |
                    +----------------+-------+
                    | 0000 0000 01   | 9     |
                    +----------------+-------+
                    | 0000 0000 001  | 10    |
                    +----------------+-------+
                    | 0000 0000 0001 | 11    |
                    +----------------+-------+
                    | 0000 0000 0000 | ESC   |
                    +----------------+-------+

                       Table 1: Description
                       of the coding of the
                         prefix of signed
                        Golomb Rice codes.

ESC is an ESCape symbol that says the symbol to be stored is too large for normal storage, so an alternate storage method gets used ๐Ÿšจ

3.8.2.1.2. Suffix ๐ŸŒˆ

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

         Table 2: Description of the coding of the suffix
                   of signed Golomb Rice codes.
ESC MUST NOT be used if the value can be coded as non-ESC. Don't be that person ๐Ÿ™…โ€โ™€๏ธ

3.8.2.1.3. Examples โœจ

Table 3 shows practical examples of how signed Golomb Rice codes get decoded from the series of bits pulled out of the bitstream, using the method above ๐Ÿ“

              +=====+=======================+=======+
              |  k  | bits                  | value |
              +=====+=======================+=======+
              |  0  | 1                     |     0 |
              +-----+-----------------------+-------+
              |  0  | 001                   |     2 |
              +-----+-----------------------+-------+
              |  2  | 1 00                  |     0 |
              +-----+-----------------------+-------+
              |  2  | 1 10                  |     2 |
              +-----+-----------------------+-------+
              |  2  | 01 01                 |     5 |
              +-----+-----------------------+-------+
              | any | 000000000000 10000000 |   139 |
              +-----+-----------------------+-------+

                   Table 3: Examples of decoded,
                     signed Golomb Rice codes.

3.8.2.2. Run Mode ๐Ÿƒโ€โ™€๏ธ

Run mode gets entered when the context is 0 and left as soon as a nonzero difference shows up. The Sample Difference is identical to the predicted one. The run and the first different Sample Difference are coded as defined in Section 3.8.2.4.1 ๐Ÿ’ซ

3.8.2.2.1. Run Length Coding ๐Ÿง 

The run value is encoded in two parts. The prefix part stores the more significant part of the run, and it also adjusts the run_index, which decides how many bits the less significant part of the run gets. The second part stores the less significant part of the run as it is. The run_index is reset to zero for each Plane and Slice ๐ŸŒธ

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;
    }
}

The log2_run array is also used within [ISO.14495-1.1999] ๐Ÿ™ˆ

3.8.2.3. Sign Extension ๐Ÿงšโ€โ™€๏ธ

sign_extend is the function that increases the number of bits in an input binary number, written in two's complement signed number representation. It keeps the input number's sign (positive or negative) and value, so it fits in the output bit width ๐Ÿฆ‹ It MAY be computed with the following:

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
}

3.8.2.4. Scalar Mode ๐Ÿ’…โœจ

okay so each difference gets coded with the per-context mean prediction removed, plus a per-context value for "k" ๐ŸŽ€ here's the whole vibe in one function:

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;
}

3.8.2.4.1. Golomb Rice Sample Difference Coding ๐ŸŒธ

Level coding is basically the same as normal difference coding, except the 0 value gets yeeted because it can never show up ๐Ÿ™ˆ:

diff = get_vlc_symbol(context_state);
if (diff >= 0) {
    diff++;
}

Note that this is different from JPEG-LS (lossless JPEG) ๐Ÿ‘€. JPEG-LS doesn't use prediction in run mode, and it uses a different encoding and context model for the last difference. On a small set of test Samples, using prediction slightly improved the compression rate ๐Ÿ“ˆ not bad at all!

3.8.2.5. Initial Values for the VLC Context State ๐Ÿฆ‹

when "keyframe" (see Section 4.4) is 1, all VLC coder state variables get reset to their initial state, bestie ๐Ÿ”„

drift     = 0;
error_sum = 4;
bias      = 0;
count     = 1;

4. Bitstream ๐ŸŽ€

an FFV1 bitstream is made up of a series of one or more Frames and (when required) a "Configuration Record" ๐Ÿงš

Within the following subsections, pseudocode as described in Section 2.2.1 is used to explain the structure of each FFV1 bitstream component โœจ. Table 4 lists the symbols used to annotate that pseudocode, so you know how each piece of data gets stored ๐Ÿ’œ

+========+==================================================+
| symbol | definition                                       |
+========+==================================================+
| u(n)   | Unsigned, big-endian integer symbol using n bits |
+--------+--------------------------------------------------+
| br     | Boolean (1-bit) symbol that is range coded with  |
|        | the method described in Section 3.8.1.1          |
+--------+--------------------------------------------------+
| ur     | Unsigned scalar symbol that is range coded with  |
|        | the method described in Section 3.8.1.2          |
+--------+--------------------------------------------------+
| sr     | Signed scalar symbol that is range coded with    |
|        | the method described in Section 3.8.1.2          |
+--------+--------------------------------------------------+
| sd     | Sample Difference symbol that is coded with the  |
|        | method described in Section 3.8                  |
+--------+--------------------------------------------------+

 Table 4: Definition of pseudocode symbols for this document.

The following MUST be provided by external means during the initialization of the decoder ๐Ÿซถ:

"frame_pixel_width" is defined as Frame width in pixels ๐Ÿ“

"frame_pixel_height" is defined as Frame height in pixels ๐Ÿ“

Default values at the decoder initialization phase:

"ConfigurationRecordIsPresent" is set to 0 ๐ŸŒˆ

4.1. Quantization Table Set ๐Ÿ’–

The Quantization Table Sets store a sequence of values. Each value is one less than the count of equal concurrent entries, for each set of equal concurrent entries within the first half of the table (represented as "len - 1" in the pseudocode below). They're stored using the method described in Section 3.8.1.2 ๐Ÿง  The second half doesn't need to be stored, because it's identical to the first with flipped sign ๐Ÿชž "scale" and "len_count[ i ][ j ]" are temporary values used to compute "context_count[ i ]". They don't get used outside the Quantization Table Set pseudocode ๐Ÿซง

Example:

Table: 0 0 1 1 1 1 2 2 -2 -2 -2 -1 -1 -1 -1 0

Stored values: 1, 3, 1

"QuantizationTableSet" has its own initial states, all set to 128 ๐ŸŒŸ

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 )                    |
}                                                             |

"MAX_CONTEXT_INPUTS" is 5 ๐Ÿ”ข

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                                   |
}                                                             |

4.1.1. "quant_tables" ๐Ÿ“

"quant_tables[ i ][ j ][ k ]" tells you the Quantization Table value of the Quantized Sample Difference "k" of the Quantization Table "j" of the Quantization Table Set "i" ๐Ÿ’œ

4.1.2. "context_count" ๐Ÿ‘‘

"context_count[ i ]" is the count of contexts for Quantization Table Set "i" ๐Ÿง "context_count[ i ]" MUST be less than or equal to 32768 โญ

4.2. Parameters ๐ŸŒˆ

the "Parameters" section is giving main character energy ๐Ÿ‘‘ It could live in a global header of a container file, which may or may not count as part of the bitstream. It holds the important stuff about the decoding setup used for all instances of Frame (in FFV1 versions 0 and 1) or for the whole FFV1 bitstream (other versions). That includes the stream version, color configuration, and Quantization Tables ๐ŸŽจ Figure 28 describes what's in the bitstream ๐Ÿฆ‹

"Parameters" has its own initial states, all set to 128 โœจ

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
    }                                                         |
}                                                             |

Figure 28: A pseudocode description of the bitstream contents ๐Ÿ“œ

"CONTEXT_SIZE" is 32 ๐Ÿซง

4.2.1. "version" ๐ŸŽ€

okay bestie, "version" is the version of the FFV1 bitstream, and it's giving main character energy ๐Ÿ’… Every version is incompatible with the others, so decoders SHOULD reject FFV1 bitstreams with an unknown version. Honestly that's the whole vibe. ๐Ÿซถ

Decoders SHOULD reject FFV1 bitstreams with "version <= 1 && ConfigurationRecordIsPresent == 1" โœจ

Decoders SHOULD reject FFV1 bitstreams with "version >= 3 && ConfigurationRecordIsPresent == 0" ๐ŸŒธ

                  +=======+=========================+
                  | value | version                 |
                  +=======+=========================+
                  | 0     | FFV1 version 0          |
                  +-------+-------------------------+
                  | 1     | FFV1 version 1          |
                  +-------+-------------------------+
                  | 2     | reserved*               |
                  +-------+-------------------------+
                  | 3     | FFV1 version 3          |
                  +-------+-------------------------+
                  | Other | reserved for future use |
                  +-------+-------------------------+

                      Table 5: The definitions for
                           "version" values.
  • Version 2 was experimental and this document does not describe it. ๐Ÿ™ˆ

4.2.2. "micro_version" ๐Ÿฆ‹

"micro_version" tells you the micro-version of the FFV1 bitstream. Once a version is stable (a micro-version value gets assigned to be the first stable variant of a specific version), every new micro-version after that first stable one is compatible with the previous micro-version. So decoders SHOULD NOT reject FFV1 bitstreams just because of an unknown micro-version that's equal to or above the one considered stable. Lowkey so chill ๐Ÿงš

Meaning of "micro_version" for "version" 3: ๐Ÿ’œ

                  +=======+=========================+
                  | value | micro_version           |
                  +=======+=========================+
                  | 0...3 | reserved*               |
                  +-------+-------------------------+
                  | 4     | first stable variant    |
                  +-------+-------------------------+
                  | Other | reserved for future use |
                  +-------+-------------------------+

                      Table 6: The definitions for
                    "micro_version" values for FFV1
                               version 3.
  • Development versions may be incompatible with the stable variants. ๐Ÿ”ฅ

4.2.3. "coder_type" ๐Ÿ’–

"coder_type" says which coder is used. Pick your fighter ๐Ÿ‘‘

      +=======+=================================================+
      | value | coder used                                      |
      +=======+=================================================+
      | 0     | Golomb Rice                                     |
      +-------+-------------------------------------------------+
      | 1     | Range coder with default state transition table |
      +-------+-------------------------------------------------+
      | 2     | Range coder with custom state transition table  |
      +-------+-------------------------------------------------+
      | Other | reserved for future use                         |
      +-------+-------------------------------------------------+

           Table 7: The definitions for "coder_type" values.

Restrictions: ๐Ÿšซ

If "coder_type" is 0, then "bits_per_raw_sample" SHOULD NOT be > 8. ๐Ÿ’€

Background: at the time of writing, there's no known implementation of an FFV1 bitstream that supports the Golomb Rice algorithm with "bits_per_raw_sample" greater than eight, and the range coder is preferred. So the range coder is the one everyone's obsessed with rn ๐Ÿ’…โœจ

4.2.4. "state_transition_delta" ๐ŸŒˆ

"state_transition_delta" specifies the range coder custom state transition table.

If "state_transition_delta" is not present in the FFV1 bitstream, all range coder custom state transition table elements are assumed to be 0. So no delta means everything's just zeros, no drama ๐Ÿซถ

4.2.5. "colorspace_type" ๐ŸŽจ

"colorspace_type" is the big one, bestie ๐Ÿ˜ญ It tells you the color space that's encoded, the pixel transformation the encoder used, what the extra Plane content is, and the interleave method. So much info in one field, it's literally iconic โœจ

+=======+==============+================+==============+============+
| value | color space  | pixel          | extra Plane  | interleave |
|       | encoded      | transformation | content      | method     |
+=======+==============+================+==============+============+
| 0     | YCbCr        | None           | Transparency | Plane then |
|       |              |                |              | Line       |
+-------+--------------+----------------+--------------+------------+
| 1     | RGB          | JPEG 2000 RCT  | Transparency | Line then  |
|       |              |                |              | Plane      |
+-------+--------------+----------------+--------------+------------+
| Other | reserved     | reserved for   | reserved for | reserved   |
|       | for future   | future use     | future use   | for future |
|       | use          |                |              | use        |
+-------+--------------+----------------+--------------+------------+

        Table 8: The definitions for "colorspace_type" values.

FFV1 bitstreams with "colorspace_type == 1 && (chroma_planes != 1 || log2_h_chroma_subsample != 0 || log2_v_chroma_subsample != 0)" are not part of this specification. So that combo is simply not it, sorry not sorry ๐Ÿ™ˆ

4.2.6. "chroma_planes" ๐Ÿ“

"chroma_planes" tells you whether the chroma (color) Planes are actually there.

              +=======+===============================+
              | value | presence                      |
              +=======+===============================+
              | 0     | chroma Planes are not present |
              +-------+-------------------------------+
              | 1     | chroma Planes are present     |
              +-------+-------------------------------+

                     Table 9: The definitions for
                       "chroma_planes" values.

4.2.7. "bits_per_raw_sample" ๐ŸŒธ

"bits_per_raw_sample" indicates the number of bits for each Sample. If it's not present, it's inferred to be 8. Easy peasy ๐Ÿง

             +=======+=================================+
             | value | bits for each Sample            |
             +=======+=================================+
             | 0     | reserved*                       |
             +-------+---------------------------------+
             | Other | the actual bits for each Sample |
             +-------+---------------------------------+

                    Table 10: The definitions for
                    "bits_per_raw_sample" values.
  • Encoders MUST NOT store "bits_per_raw_sample = 0". Decoders SHOULD accept and interpret "bits_per_raw_sample = 0" as 8. ๐Ÿ™ Encoders, do NOT do the zero thing. Decoders, be nice and read it as 8 anyway ๐Ÿ’–

4.2.8. "log2_h_chroma_subsample" ๐Ÿฆ‹

"log2_h_chroma_subsample" indicates the subsample factor, stored as powers of the number 2, between luma and chroma width (chroma_width = 2 ^ -log2_h_chroma_subsample * luma_width). Math is giving slay ๐Ÿงฎโœจ

4.2.9. "log2_v_chroma_subsample" ๐Ÿฆ‹

"log2_v_chroma_subsample" is the same idea but for height. It indicates the subsample factor, stored as powers of the number 2, between luma and chroma height (chroma_height = 2 ^ -log2_v_chroma_subsample * luma_height). Same energy, different axis ๐Ÿ’œ

4.2.10. "extra_plane" ๐Ÿงš

"extra_plane" indicates if an extra Plane is present.

                +=======+============================+
                | value | presence                   |
                +=======+============================+
                | 0     | extra Plane is not present |
                +-------+----------------------------+
                | 1     | extra Plane is present     |
                +-------+----------------------------+

                    Table 11: The definitions for
                        "extra_plane" values.

4.2.11. "num_h_slices" ๐ŸŒˆ

"num_h_slices" indicates the number of horizontal elements of the Slice raster. If it's not there, it's inferred to be 1. Simple but make it cute ๐ŸŽ€

4.2.12. "num_v_slices" ๐ŸŒˆ

"num_v_slices" indicates the number of vertical elements of the Slice raster. Same deal: if it's missing, it's inferred to be 1. Bestie, we're consistent ๐Ÿ’…

4.2.13. "quant_table_set_count" ๐Ÿ‘‘

"quant_table_set_count" indicates the number of Quantization Table Sets. "quant_table_set_count" MUST be less than or equal to 8. ๐Ÿšจ

If it's not present, it's inferred to be 1.

It MUST NOT be 0. Zero is a hard no, babe ๐Ÿ’€

4.2.14. "states_coded" ๐Ÿ’œ

"states_coded" indicates if the respective Quantization Table Set has the initial states coded.

If it's not present, it's inferred to be 0.

              +=======+================================+
              | value | initial states                 |
              +=======+================================+
              | 0     | initial states are not present |
              |       | and are assumed to be all 128  |
              +-------+--------------------------------+
              | 1     | initial states are present     |
              +-------+--------------------------------+

                    Table 12: The definitions for
                        "states_coded" values.

4.2.15. "initial_state_delta" ๐Ÿ“

"initial_state_delta[ i ][ j ][ k ]" indicates the initial range coder state. It's encoded using "k" as the context index for the range coder, and it follows this pseudocode, which is kind of a whole thing ๐Ÿง 

pred = j ? initial_states[ i ][j - 1][ k ] : 128
              Figure 29: Predictor value for the coding of
                 "initial_state_delta[ i ][ j ][ k ]".
initial_state[ i ][ j ][ k ] =
        ( pred + initial_state_delta[ i ][ j ][ k ] ) & 255
                Figure 30: Description of the coding of
                 "initial_state_delta[ i ][ j ][ k ]".

4.2.16. "ec" ๐Ÿ›ก๏ธ

"ec" indicates the error detection/correction type. Your data's bodyguard, basically ๐Ÿซถ

      +=======+=================================================+
      | value | error detection/correction type                 |
      +=======+=================================================+
      | 0     | 32-bit CRC in "ConfigurationRecord"             |
      +-------+-------------------------------------------------+
      | 1     | 32-bit CRC in "Slice" and "ConfigurationRecord" |
      +-------+-------------------------------------------------+
      | Other | reserved for future use                         |
      +-------+-------------------------------------------------+

               Table 13: The definitions for "ec" values.

4.2.17. "intra" ๐ŸŒธ

"intra" indicates the constraint on "keyframe" in each instance of Frame. If it's not present, it's inferred to be 0.

   +=======+=======================================================+
   | value | relationship                                          |
   +=======+=======================================================+
   | 0     | "keyframe" can be 0 or 1 (non keyframes or keyframes) |
   +-------+-------------------------------------------------------+
   | 1     | "keyframe" MUST be 1 (keyframes only)                 |
   +-------+-------------------------------------------------------+
   | Other | reserved for future use                               |
   +-------+-------------------------------------------------------+

             Table 14: The definitions for "intra" values.

4.3. Configuration Record โœจ

okay so, when you've got an FFV1 bitstream with "version >= 3" ๐ŸŽ€, there's a "Configuration Record" stored in the underlying container (more on that in Section 4.3.3 ๐Ÿ’…). It holds the "Parameters" that get used for every single instance of Frame ๐Ÿงš. The size of the "Configuration Record", "NumBytes", is handed to you by the underlying container ๐Ÿ“ฆ.

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)
}                                                          |

4.3.1. "reserved_for_future_use"

"reserved_for_future_use" is a placeholder ๐Ÿ™ˆ kept around for future updates of this specification.

Encoders that follow this version of this specification SHALL NOT write "reserved_for_future_use" ๐Ÿšซ. Just don't, bestie.

Decoders that follow this version of this specification SHALL ignore "reserved_for_future_use" ๐Ÿ™ƒ.

4.3.2. "configuration_record_crc_parity"

configuration_record_crc_parity is 32 bits that get picked so the whole "Configuration Record" ends up with a CRC remainder of zero ๐Ÿงฎโœจ.

This is equivalent to storing the CRC remainder in the 32-bit parity ๐Ÿ’œ.

The CRC generator polynomial used is described in Section 4.9.3 ๐ŸŒธ.

4.3.3. Mapping FFV1 into Containers

The "Configuration Record" can go into any file format that supports "Configuration Records" ๐Ÿฆ‹, fitting in as well as it can with how that format stores them. Right now, the storage spot for the "Configuration Record" and the "NumBytes" value are defined and supported for these formats:

4.3.3.1. Audio Video Interleave (AVI) File Format โœจ

The "Configuration Record" extends the stream format chunk ("AVI ", "hdlr", "strl", "strf") with the "ConfigurationRecord" bitstream ๐ŸŽž๏ธ.

See [AVI] for more information about chunks.

"NumBytes" is the size, in bytes, of the "strf" chunk (as listed in the chunk header) minus the size of the stream format structure ๐Ÿ“.

4.3.3.2. ISO Base Media File Format ๐Ÿ“

The "Configuration Record" extends the sample description box ("moov", "trak", "mdia", "minf", "stbl", "stsd") with a "glbl" box that holds the "ConfigurationRecord" bitstream ๐Ÿ“ฆ. See [ISO.14496-12.2020] for more information about boxes.

"NumBytes" is the size, in bytes, of the "glbl" box (as listed in the box header) minus the size of the box header ๐Ÿ’….

4.3.3.3. NUT File Format ๐ŸŒˆ

The "codec_specific_data" element (in the "stream_header" packet) carries the "ConfigurationRecord" bitstream ๐Ÿงš. See [NUT] for more information about elements.

"NumBytes" is the size, in bytes, of the "codec_specific_data" element, as indicated in the "length" field of "codec_specific_data" ๐Ÿ”ฅ.

4.3.3.4. Matroska File Format ๐Ÿ‘‘

FFV1 SHOULD use "V_FFV1" as the Matroska "Codec ID" ๐Ÿ’–. For FFV1 versions 2 or less, the Matroska "CodecPrivate" Element SHOULD NOT be used ๐Ÿ™…. For FFV1 versions 3 or greater, the Matroska "CodecPrivate" Element MUST contain the FFV1 "Configuration Record" structure and no other data ๐Ÿซถ. See [Matroska] for more information about elements.

"NumBytes" is the "Element Data Size" of the "CodecPrivate" Element ๐Ÿ’.


4.4. Frame ๐ŸŽ€

A "Frame" is an encoded representation of a complete static image ๐Ÿ–ผ๏ธ. The whole "Frame" gets provided by the underlying container.

A "Frame" is made up of the "keyframe" field, "Parameters" (if version <= 1), and a sequence of independent Slices โœจ. The pseudocode below describes what's inside a "Frame".

The "keyframe" field has its own initial state, set to 128 ๐ŸŒธ.

Frame( NumBytes ) {                                           |
    keyframe                                                  | br
    if (keyframe && !ConfigurationRecordIsPresent {           |
        Parameters( )                                         |
    }                                                         |
    while (remaining_bits_in_bitstream( NumBytes )) {         |
        Slice( )                                              |
    }                                                         |
}                                                             |

The following is an architecture overview of Slices in a Frame ๐Ÿฆ‹:

    +-----------------------------------------------------------------+
    | first Slice header                                              |
    +-----------------------------------------------------------------+
    | first Slice content                                             |
    +-----------------------------------------------------------------+
    | first Slice footer                                              |
    +-----------------------------------------------------------------+
    | --------------------------------------------------------------- |
    +-----------------------------------------------------------------+
    | second Slice header                                             |
    +-----------------------------------------------------------------+
    | second Slice content                                            |
    +-----------------------------------------------------------------+
    | second Slice footer                                             |
    +-----------------------------------------------------------------+
    | --------------------------------------------------------------- |
    +-----------------------------------------------------------------+
    | ...                                                             |
    +-----------------------------------------------------------------+
    | --------------------------------------------------------------- |
    +-----------------------------------------------------------------+
    | last Slice header                                               |
    +-----------------------------------------------------------------+
    | last Slice content                                              |
    +-----------------------------------------------------------------+
    | last Slice footer                                               |
    +-----------------------------------------------------------------+

4.5. Slice ๐Ÿงฉ

A "Slice" is an independent, spatial subsection of a Frame ๐Ÿฐ that gets encoded separately from another region of the same Frame. Using more than one "Slice" per Frame opens up chances to take advantage of multithreaded encoding and decoding ๐Ÿงต๐Ÿ’–.

A "Slice" is made of a "Slice Header" (when relevant), a "Slice Content", and a "Slice Footer" (when relevant) ๐Ÿ’…. The pseudocode below describes what's inside a "Slice".

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( )                                        |
    }                                                         |
}                                                             |

padding is a bit with no significance ๐Ÿซง, used only for byte alignment. padding MUST be 0 ๐Ÿ’ฏ.

reserved is a bit with no significance in this specification ๐Ÿคท, but it may have significance in a later revision of this specification ๐Ÿ”ฎ.

Encoders SHOULD NOT fill reserved ๐Ÿ™….

Decoders SHOULD ignore reserved ๐ŸŒท.


4.6. Slice Header ๐ŸŽ€

A "Slice Header" gives you info about the decoding configuration of the "Slice", like its spatial position, size, and aspect ratio ๐Ÿ“. The pseudocode below describes what's inside the "Slice Header".

"Slice Header" has its own initial states, all set to 128 ๐ŸŒˆ.

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
}                                                             |

4.6.1. "slice_x"

"slice_x" tells you the x position on the Slice raster formed by "num_h_slices" ๐Ÿ“. If it isn't present, it's inferred to be 0 ๐Ÿคทโ€โ™€๏ธ.

4.6.2. "slice_y"

"slice_y" tells you the y position on the Slice raster formed by "num_v_slices" ๐Ÿ“. If it isn't present, it's inferred to be 0 ๐Ÿคทโ€โ™€๏ธ.

4.6.3. "slice_width"

"slice_width" tells you the width on the Slice raster formed by "num_h_slices" ๐Ÿ“. If it isn't present, it's inferred to be 1 โœจ.

4.6.4. "slice_height"

"slice_height" tells you the height on the Slice raster formed by "num_v_slices" ๐Ÿ“. If it isn't present, it's inferred to be 1 โœจ.

4.6.5. "quant_table_set_index_count"

"quant_table_set_index_count" is defined as the following ๐Ÿงฎ:

1 + ( ( chroma_planes || version <= 3 ) ? 1 : 0 )
    + ( extra_plane ? 1 : 0 )

4.6.6. "quant_table_set_index"

"quant_table_set_index" picks out which Quantization Table Set to use ๐Ÿ’œ, and that also sets the initial states for the "Slice Content". If it isn't present, it's inferred to be 0 ๐Ÿซถ.

4.6.7. "picture_structure" ๐ŸŽฌ

picture_structure is the vibe check for how each Line of the Frame relates to the others, both in time and in space ๐Ÿฆ‹

It's inferred to be 0 if it isn't present โœจ

                    +=======+=========================+
                    | value | picture structure used  |
                    +=======+=========================+
                    | 0     | unknown                 |
                    +-------+-------------------------+
                    | 1     | top field first         |
                    +-------+-------------------------+
                    | 2     | bottom field first      |
                    +-------+-------------------------+
                    | 3     | progressive             |
                    +-------+-------------------------+
                    | Other | reserved for future use |
                    +-------+-------------------------+

                       Table 15: The definitions for
                        "picture_structure" values.

4.6.8. "sar_num" ๐Ÿ“

sar_num gives the Sample aspect ratio numerator ๐Ÿ’…

It's inferred to be 0 if it isn't present. A value of 0 means the aspect ratio is unknown ๐Ÿคทโ€โ™€๏ธ

Encoders MUST write 0 if the Sample aspect ratio is unknown. No skipping this one, bestie ๐Ÿซถ

If sar_den is 0, decoders SHOULD ignore the encoded value and treat sar_num as 0. That's the move ๐ŸŒธ

4.6.9. "sar_den" ๐Ÿ“

sar_den is the Sample aspect ratio denominator, the other half of the ratio duo ๐Ÿ‘ฏโ€โ™€๏ธ

It's inferred to be 0 if it isn't present. A value of 0 means the aspect ratio is unknown, same energy as before ๐Ÿ’œ

Encoders MUST write 0 if the Sample aspect ratio is unknown. Literally the same rule, because it's a team ๐ŸŽ€

If sar_num is 0, decoders SHOULD ignore the encoded value and treat sar_den as 0. Ate, fr fr ๐Ÿ’…โœจ

4.7. Slice Content ๐Ÿ“

A "Slice Content" holds all the Line elements that belong to the "Slice" ๐Ÿงš

How they're ordered depends on the configuration. With YCbCr, Line elements are sorted by Plane and then by row. With RGB, it's the other way around: by row first, then by Plane ๐ŸŒˆ

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 )
            }
        }
    }
}

4.7.1. "primary_color_count" ๐ŸŽจ

primary_color_count is defined as the following:

1 + ( chroma_planes ? 2 : 0 ) + ( extra_plane ? 1 : 0 )

4.7.2. "plane_pixel_height" ๐Ÿ“

plane_pixel_height[ p ] is the height in pixels of Plane p of the "Slice". It's defined as the following:

chroma_planes == 1 && (p == 1 || p == 2)
    ? ceil(slice_pixel_height / (1 << log2_v_chroma_subsample))
    : slice_pixel_height

4.7.3. "slice_pixel_height" ๐ŸŒท

slice_pixel_height is the height in pixels of the Slice. It's defined as the following:

floor(
        ( slice_y + slice_height )
        * slice_pixel_height
        / num_v_slices
    ) - slice_pixel_y.

4.7.4. "slice_pixel_y" ๐Ÿฆ‹

slice_pixel_y is the vertical position of the Slice in pixels. It's defined as the following:

floor( slice_y * frame_pixel_height / num_v_slices )

4.8. Line ๐Ÿ’–

A "Line" is a list of the Sample Differences (relative to the predictor) of the primary color components. The pseudocode below describes what's inside a "Line" ๐ŸŒˆ

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
        }
    }
}

4.8.1. "plane_pixel_width" ๐Ÿ“

plane_pixel_width[ p ] is the width in pixels of Plane p of the "Slice". It's defined as the following:

chroma_planes == 1 && (p == 1 || p == 2)
    ? ceil( slice_pixel_width / (1 << log2_h_chroma_subsample) )
    : slice_pixel_width.

4.8.2. "slice_pixel_width" ๐Ÿ‘

slice_pixel_width is the width in pixels of the Slice. It's defined as the following:

floor(
        ( slice_x + slice_width )
        * slice_pixel_width
        / num_h_slices
    ) - slice_pixel_x

4.8.3. "slice_pixel_x" โœจ

slice_pixel_x is the horizontal position of the Slice in pixels. It's defined as the following:

floor( slice_x * frame_pixel_width / num_h_slices )

4.8.4. "sample_difference" ๐Ÿงฎ

sample_difference[ p ][ y ][ x ] is the Sample Difference for the Sample at Plane "p", y position "y", and x position "x". The Sample value gets computed using the median predictor and the context described in Section 3.2 ๐Ÿซถ

A "Slice Footer" gives you info about the Slice size and, optionally, parity ๐Ÿงšโ€โ™€๏ธ The pseudocode below shows what's in it.

Note: "Slice Footer" is always byte aligned. No exceptions, periodt ๐Ÿ’…
SliceFooter( ) {
    slice_size                                                | u(24)
    if (ec) {
        error_status                                          | u(8)
        slice_crc_parity                                      | u(32)
    }
}

4.9.1. "slice_size" ๐ŸŒธ

slice_size tells you the size of the Slice in bytes ๐Ÿ“ฆ

Note: this lets you find where Slices start before the previous Slices are fully decoded. That's what makes parallel decoding and error resilience possible ๐Ÿ”ฅ

4.9.2. "error_status" ๐Ÿšจ

error_status specifies the error status. Here's the lineup:

         +=======+=======================================+
         | value | error status                          |
         +=======+=======================================+
         | 0     | no error                              |
         +-------+---------------------------------------+
         | 1     | Slice contains a correctable error    |
         +-------+---------------------------------------+
         | 2     | Slice contains an uncorrectable error |
         +-------+---------------------------------------+
         | Other | reserved for future use               |
         +-------+---------------------------------------+

            Table 16: The definitions for "error_status"
                              values.

4.9.3. "slice_crc_parity" ๐Ÿ”

slice_crc_parity is 32 bits that are chosen so that the Slice as a whole has a CRC remainder of 0. Iconic ๐Ÿ‘‘

This is equivalent to storing the CRC remainder in the 32-bit parity ๐Ÿฆ‹

The CRC generator polynomial is the standard IEEE CRC polynomial (0x104C11DB7), with initial value 0, without pre-inversion, and without post-inversion. Very precise, very obsessed ๐Ÿค“๐Ÿ’œ


5. Restrictions ๐Ÿšง

To make sure fast multithreaded decoding is possible, starting with version 3 and when frame_pixel_width * frame_pixel_height is more than 101376, slice_width * slice_height MUST be less than or equal to num_h_slices * num_v_slices / 4. Main character rules, no cap ๐Ÿ‘‘

Note: 101376 is the frame size in pixels of a 352x288 frame, also known as CIF (Common Intermediate Format) frame size format ๐ŸŽž๏ธ

For each Frame, every position in the Slice raster MUST be filled by one and only one Slice of the Frame. That means no missing Slice positions and no overlapping Slices ๐Ÿงฉ

For each Frame with a keyframe value of 0, each Slice MUST have the same values of slice_x, slice_y, slice_width, and slice_height as a Slice in the previous Frame. Consistency is everything, bestie ๐Ÿซถโœจ


6. Security Considerations ๐Ÿ’€

Like any other codec (such as [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. Not safe, not cute ๐Ÿ™ˆ

Implementations of the FFV1 codec need to take appropriate security considerations into account. The ones related to denial of service are outlined in Section 2.1 of [RFC4732]. It is extremely important for the decoder to be robust against malicious payloads. Malicious payloads MUST NOT 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. Yikes, that's the big scary one ๐Ÿ˜ญ

The same applies to the encoder, even though problems in encoders are typically rarer. Malicious video streams MUST NOT cause the encoder to misbehave, because that would let an attacker mess with transcoding gateways ๐Ÿšซ

A frequent security problem in image and video codecs is failure to check for integer overflows. An example is allocating frame_pixel_width * frame_pixel_height in pixel count computations without considering that the multiplication result may have overflowed the range of the arithmetic type. Don't skip the overflow check, babe ๐Ÿ’…

The range coder could, if implemented naively, read one byte over the end. The implementation MUST ensure that no read outside allocated and initialized memory occurs. Non-negotiable ๐Ÿ›ก๏ธ๐Ÿ”ฅ

None of the content carried in FFV1 is intended to be executable. Data, not code, no cap ๐Ÿงš


7. IANA Considerations ๐ŸŒˆ

IANA has registered the following values.

7.1. Media Type Definition ๐ŸŽ€

okay so this is the bit where we register the media type, and it's giving official paperwork energy ๐Ÿ“‹ it follows the template in [RFC6838] and also [RFC4855]. here's the form, bestie:

Type name:  video

Subtype name:  FFV1

Required parameters:  None.

Optional parameters:  (see below)

Intended usage:  COMMON

Restrictions on usage:  None.

Fragment identifier considerations:  N/A.

Additional information:  None.

Interoperability considerations:  None.

Published specification:  RFC 9043.

Security considerations:  See Section 6 of this document.

Change controller:  IETF CELLAR Working Group delegated from the
   IESG.

the optional parameters are for signalling what a receiver can handle, and they MUST NOT be used for anything else ๐Ÿ™…โ€โ™€๏ธ no sneaky side quests allowed, periodt ๐Ÿ’… here's the lineup:

  • "version": the FFV1 encoding version, defined in Section 4.2.1 โœจ
  • "micro_version": the micro version, defined in Section 4.2.2 ๐ŸŒธ
  • "coder_type": the coder type, defined in Section 4.2.3 ๐Ÿฆ‹
  • "colorspace_type": the colourspace type, defined in Section 4.2.5 ๐ŸŒˆ
  • "bits_per_raw_sample": bits per raw sample, defined in Section 4.2.7 ๐Ÿ’œ
  • "max_slices": an integer giving the most Slices allowed in one Frame of the FFV1 encoding ๐Ÿ“

for the big-picture fields: encoding considerations say this media type is built for wrapping inside a bunch of audiovisual container formats, and it's binary data (see Section 4.3.3), and it's framed binary data too (see Section 4.8 of [RFC6838]) ๐Ÿ“ฆ the author is Dave Rice (mailto:dave@dericed.com), and the contact person is Michael Niedermayer (mailto:michael@niedermayer.cc) ๐Ÿซถ

and the vibe for who gets to use it: basically anyone who needs lossless video moving around! screen recording, scientific imaging, digital video preservation, and more ๐ŸŽฅโœจ


8. References ๐Ÿ“š

8.1. Normative References

8.2. Informative References


Appendix A. Multithreaded Decoder Implementation Suggestions ๐Ÿงต

This appendix is informative.

okay bestie, the FFV1 bitstream can be read in two ways: straight through in order like the main doc describes, or by peeking at the footer of each Slice first ๐Ÿ‘€ every Slice footer has a "slice_size" field, so you can figure out where each Slice starts and ends without actually parsing the Slice content. that's what makes multithreading possible, and it means a bitstream error in one Slice's header or content doesn't mess up decoding the other Slices. iconic, honestly ๐Ÿ‘‘

a decoder should check the "keyframe" field first, then read the "slice_size" fields starting from the last Slice at the end of the "Frame" and working back to the first Slice at the beginning of the "Frame", and only then parse the Slices, so it knows all the boundaries ๐Ÿงš if things get messy, like a corrupted "Frame" (frame size unknown, or the "slice_size" values don't line up), or if there's no way to seek in the stream, a decoder may fall back to reading in sequential order ๐Ÿ”„

Appendix B. Future Handling of Some Streams Created by Nonconforming Encoders ๐Ÿ™ˆ

This appendix is informative.

ngl this one is a little tea โ˜• some bitstreams were found with 40 extra bits, which are the "error_status" and "slice_crc_parity" fields sitting in the "reserved" bits of a "Slice". so any future revision of this spec should avoid adding 40 bits of content after "SliceContent" when "version == 0" or "version == 1". otherwise a decoder that follows the newer spec couldn't tell a legit revised bitstream apart from one of those buggy ones out in the wild ๐Ÿ˜ญ protect the timeline, bestie ๐Ÿซถ

Appendix C. FFV1 Implementations ๐ŸŒŸ

This appendix provides references to a few notable implementations of FFV1.

C.1. FFmpeg FFV1 Codec ๐ŸŽฅ

the reference implementation [REFIMPL] has no known buffer overflows, and no specially crafted packet or video segment has been shown to cause a big jump in CPU load ๐Ÿ’ช

it got validated under these conditions:

  • sending the decoder valid packets made by the reference encoder, then checking that the decoder's output matches the encoder's input โœ…
  • sending the decoder packets made by the reference encoder, then subjecting them to random corruption ๐ŸŽฒ
  • sending the decoder random packets that aren't FFV1 at all ๐ŸŒ€

in every single one of those conditions, the decoder and encoder ran inside the Valgrind memory debugger [Valgrind] and the Clang AddressSanitizer [AddressSanitizer], which track reads and writes to invalid memory regions and use of uninitialised memory. no errors were reported in any of the tested conditions ๐Ÿฅนโœจ

C.2. FFV1 Decoder in Go ๐Ÿน

an FFV1 decoder [FFV1GO] was written in Go by Derek Buitenhuis while this document was being developed ๐Ÿ’–

C.3. MediaConch ๐Ÿ”Ž

the folks behind the MediaConch project [MediaConch] built an independent FFV1 decoder as part of that project, to validate FFV1 bitstreams. and this led to finding three conflicts between existing FFV1 implementations and draft versions of this document. those issues got fixed in Section 3.3.1, Section 3.7.2.1, and Appendix B ๐ŸŽ€ teamwork makes the dream work ๐Ÿซถ


Authors' Addresses ๐Ÿ’Œ

Michael Niedermayer

Email: michael@niedermayer.cc

Dave Rice

Email: dave@dericed.com

Jรฉrรดme Martinez

Email: jerome@mediaarea.net

๐Ÿ“ฆ where this page comes from