cellar M.Q.C. van Beurden Internet-Draft Intended status: Standards Track A. Weaver Expires: 26 April 2023 23 October 2022 Free Lossless Audio Codec draft-ietf-cellar-flac-07 Abstract This document defines the Free Lossless Audio Codec (FLAC) format. FLAC is designed to reduce the amount of computer storage space needed to store digital audio signals without needing to remove information in doing so (i.e. lossless). FLAC is free in the sense that its specification is open, its reference implementation is open- source and it is not encumbered by any known patent. Compared to other lossless (audio) coding formats, FLAC is a format with low complexity and can be coded to and from with little computing resources. Decoding of FLAC has seen many independent implementations on many different platforms, and both encoding and decoding can be implemented without needing floating-point arithmetic. Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet- Drafts is at https://datatracker.ietf.org/drafts/current/. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." This Internet-Draft will expire on 26 April 2023. Copyright Notice Copyright (c) 2022 IETF Trust and the persons identified as the document authors. All rights reserved. van Beurden & Weaver Expires 26 April 2023 [Page 1] Internet-Draft FLAC October 2022 This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (https://trustee.ietf.org/ license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Code Components extracted from this document must include Revised BSD License text as described in Section 4.e of the Trust Legal Provisions and are provided without warranty as described in the Revised BSD License. Table of Contents 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 4 2. Notation and Conventions . . . . . . . . . . . . . . . . . . 4 3. Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . 5 4. Definitions . . . . . . . . . . . . . . . . . . . . . . . . . 5 5. Conceptual overview . . . . . . . . . . . . . . . . . . . . . 7 5.1. Blocking . . . . . . . . . . . . . . . . . . . . . . . . 8 5.2. Interchannel Decorrelation . . . . . . . . . . . . . . . 9 5.3. Prediction . . . . . . . . . . . . . . . . . . . . . . . 10 5.4. Residual Coding . . . . . . . . . . . . . . . . . . . . . 11 6. Format principles . . . . . . . . . . . . . . . . . . . . . . 12 7. Format lay-out . . . . . . . . . . . . . . . . . . . . . . . 12 8. Format subset . . . . . . . . . . . . . . . . . . . . . . . . 14 9. File-level metadata . . . . . . . . . . . . . . . . . . . . . 15 9.1. Metadata block header . . . . . . . . . . . . . . . . . . 15 9.2. Streaminfo . . . . . . . . . . . . . . . . . . . . . . . 16 9.3. Padding . . . . . . . . . . . . . . . . . . . . . . . . . 18 9.4. Application . . . . . . . . . . . . . . . . . . . . . . . 19 9.5. Seektable . . . . . . . . . . . . . . . . . . . . . . . . 19 9.5.1. Seekpoint . . . . . . . . . . . . . . . . . . . . . . 20 9.6. Vorbis comment . . . . . . . . . . . . . . . . . . . . . 20 9.6.1. Standard field names . . . . . . . . . . . . . . . . 21 9.6.2. Channel mask . . . . . . . . . . . . . . . . . . . . 22 9.7. Cuesheet . . . . . . . . . . . . . . . . . . . . . . . . 24 9.7.1. Cuesheet track . . . . . . . . . . . . . . . . . . . 26 9.8. Picture . . . . . . . . . . . . . . . . . . . . . . . . . 28 10. Frame structure . . . . . . . . . . . . . . . . . . . . . . . 32 10.1. Frame header . . . . . . . . . . . . . . . . . . . . . . 33 10.1.1. Block size bits . . . . . . . . . . . . . . . . . . 33 10.1.2. Sample rate bits . . . . . . . . . . . . . . . . . . 34 10.1.3. Channels bits . . . . . . . . . . . . . . . . . . . 35 10.1.4. Bit depth bits . . . . . . . . . . . . . . . . . . . 36 10.1.5. Coded number . . . . . . . . . . . . . . . . . . . . 37 10.1.6. Uncommon block size . . . . . . . . . . . . . . . . 38 10.1.7. Uncommon sample rate . . . . . . . . . . . . . . . . 38 10.1.8. Frame header CRC . . . . . . . . . . . . . . . . . . 38 10.2. Subframes . . . . . . . . . . . . . . . . . . . . . . . 38 10.2.1. Subframe header . . . . . . . . . . . . . . . . . . 38 van Beurden & Weaver Expires 26 April 2023 [Page 2] Internet-Draft FLAC October 2022 10.2.2. Wasted bits per sample . . . . . . . . . . . . . . . 39 10.2.3. Constant subframe . . . . . . . . . . . . . . . . . 40 10.2.4. Verbatim subframe . . . . . . . . . . . . . . . . . 40 10.2.5. Fixed predictor subframe . . . . . . . . . . . . . . 40 10.2.6. Linear predictor subframe . . . . . . . . . . . . . 42 10.2.7. Coded residual . . . . . . . . . . . . . . . . . . . 44 10.3. Frame footer . . . . . . . . . . . . . . . . . . . . . . 47 11. Container mappings . . . . . . . . . . . . . . . . . . . . . 47 11.1. Ogg mapping . . . . . . . . . . . . . . . . . . . . . . 47 11.2. Matroska mapping . . . . . . . . . . . . . . . . . . . . 49 11.3. ISO Base Media File Format (MP4) mapping . . . . . . . . 50 12. Implementation status . . . . . . . . . . . . . . . . . . . . 50 13. Security Considerations . . . . . . . . . . . . . . . . . . . 51 14. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 53 14.1. Media type registration . . . . . . . . . . . . . . . . 53 15. Normative References . . . . . . . . . . . . . . . . . . . . 53 16. Informative References . . . . . . . . . . . . . . . . . . . 54 Appendix A. Numerical considerations . . . . . . . . . . . . . . 55 A.1. Determining necessary data type size . . . . . . . . . . 55 A.2. Stereo decorrelation . . . . . . . . . . . . . . . . . . 56 A.3. Prediction . . . . . . . . . . . . . . . . . . . . . . . 56 A.4. Residual . . . . . . . . . . . . . . . . . . . . . . . . 58 A.5. Rice coding . . . . . . . . . . . . . . . . . . . . . . . 58 Appendix B. Past format changes . . . . . . . . . . . . . . . . 58 B.1. Addition of block size strategy flag . . . . . . . . . . 59 B.2. Restriction of encoded residual samples . . . . . . . . . 59 B.3. Addition of 5-bit Rice parameter . . . . . . . . . . . . 60 B.4. Restriction of LPC shift to non-negative values . . . . . 60 Appendix C. Interoperability considerations . . . . . . . . . . 60 C.1. Non-subset streams . . . . . . . . . . . . . . . . . . . 61 C.2. Variable block size . . . . . . . . . . . . . . . . . . . 61 C.3. 5-bit Rice parameter . . . . . . . . . . . . . . . . . . 61 C.4. Rice escape code . . . . . . . . . . . . . . . . . . . . 61 C.5. Uncommon block size . . . . . . . . . . . . . . . . . . . 62 C.6. Uncommon bit depth . . . . . . . . . . . . . . . . . . . 62 C.7. Multi-channel audio and uncommon sample rates . . . . . . 63 Appendix D. Examples . . . . . . . . . . . . . . . . . . . . . . 63 D.1. Decoding example 1 . . . . . . . . . . . . . . . . . . . 63 D.1.1. Example file 1 in hexadecimal representation . . . . 64 D.1.2. Example file 1 in binary representation . . . . . . . 64 D.1.3. Signature and streaminfo . . . . . . . . . . . . . . 64 D.1.4. Audio frames . . . . . . . . . . . . . . . . . . . . 66 D.2. Decoding example 2 . . . . . . . . . . . . . . . . . . . 68 D.2.1. Example file 2 in hexadecimal representation . . . . 68 D.2.2. Example file 2 in binary representation (only audio frames) . . . . . . . . . . . . . . . . . . . . . . . 69 D.2.3. Streaminfo metadata block . . . . . . . . . . . . . . 70 D.2.4. Seektable . . . . . . . . . . . . . . . . . . . . . . 70 van Beurden & Weaver Expires 26 April 2023 [Page 3] Internet-Draft FLAC October 2022 D.2.5. Vorbis comment . . . . . . . . . . . . . . . . . . . 71 D.2.6. Padding . . . . . . . . . . . . . . . . . . . . . . . 72 D.2.7. First audio frame . . . . . . . . . . . . . . . . . . 73 D.2.8. Second audio frame . . . . . . . . . . . . . . . . . 79 D.2.9. MD5 checksum verification . . . . . . . . . . . . . . 81 D.3. Decoding example 3 . . . . . . . . . . . . . . . . . . . 81 D.3.1. Example file 3 in hexadecimal representation . . . . 81 D.3.2. Example file 3 in binary representation (only audio frame) . . . . . . . . . . . . . . . . . . . . . . . 81 D.3.3. Streaminfo metadata block . . . . . . . . . . . . . . 81 D.3.4. Audio frame . . . . . . . . . . . . . . . . . . . . . 82 Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 87 1. Introduction This document defines the FLAC format. FLAC files and streams can code for pulse-code modulated (PCM) audio with 1 to 8 channels, sample rates from 1 up to 1048575 hertz and bit depths from 4 up to 32 bits. Most tools for coding to and decoding from the FLAC format have been optimized for CD-audio, which is PCM audio with 2 channels, a sample rate of 44.1 kHz and a bit depth of 16 bits. FLAC is able to achieve lossless compression because samples in audio signals tend to be highly correlated with their close neighbors. In contrast with general purpose compressors, which often use dictionaries, do run-length coding or exploit long-term repetition, FLAC removes redundancy solely in the very short term, looking back at most 32 samples. The coding methods provided by the FLAC format work best on PCM audio signals of which the samples have a signed representation and are centered around zero. Audio signals in which samples have an unsigned representation must be transformed to a signed representation as described in this document in order to achieve reasonable compression. The FLAC format is not suited to compress audio that is not PCM. Pulse-density modulated audio, e.g. DSD, cannot be compressed by FLAC. 2. Notation and Conventions 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. van Beurden & Weaver Expires 26 April 2023 [Page 4] Internet-Draft FLAC October 2022 Values expressed as u(n) represent unsigned big-endian integer using n bits. Values expressed as s(n) represent signed big-endian integer using n bits, signed two's complement. n may be expressed as an equation using * (multiplication), / (division), + (addition), or - (subtraction). An inclusive range of the number of bits expressed may be represented with an ellipsis, such as u(m...n). The name of a value followed by an asterisk * indicates zero or more occurrences of the value. The name of a value followed by a plus sign + indicates one or more occurrences of the value. 3. Acknowledgments FLAC owes much to the many people who have advanced the audio compression field so freely. For instance: * A. J. Robinson (https://web.archive.org/web/20160315141134/ http://mi.eng.cam.ac.uk/~ajr/) for his work on Shorten; his paper ([robinson-tr156]) is a good starting point on some of the basic methods used by FLAC. FLAC trivially extends and improves the fixed predictors, LPC coefficient quantization, and Rice coding used in Shorten. * S. W. Golomb (https://web.archive.org/web/20040215005354/http://csi.usc.edu/ faculty/golomb.html) and Robert F. Rice; their universal codes are used by FLAC's entropy coder. * N. Levinson and J. Durbin; the reference encoder uses an algorithm developed and refined by them for determining the LPC coefficients from the autocorrelation coefficients. * And of course, Claude Shannon (https://en.wikipedia.org/wiki/ Claude_Shannon) The FLAC format, the FLAC reference implementation and this document were originally developed by Josh Coalson. While many others have contributed since, this original effort is deeply appreciated. 4. Definitions * *Lossless compression*: reducing the amount of computer storage space needed to store data without needing to remove or irreversibly alter any of this data in doing so. In other words, decompressing losslessly compressed information returns exactly the original data. * *Lossy compression*: like lossless compression, but instead removing, irreversibly altering or only approximating information for the purpose of further reducing the amount of computer storage space needed. In other words, decompressing lossy compressed information returns an approximation of the original data. van Beurden & Weaver Expires 26 April 2023 [Page 5] Internet-Draft FLAC October 2022 * *Block*: A (short) section of linear pulse-code modulated audio, with one or more channels. * *Subblock*: All samples within a corresponding block for 1 channel. One or more subblocks form a block, and all subblocks in a certain block contain the same number of samples. * *Frame*: A frame header, one or more subframes and a frame footer. It encodes the contents of a corresponding block. * *Subframe*: An encoded subblock. All subframes within a frame code for the same number of samples. A subframe MAY correspond to a subblock, else it corresponds to either the addition or subtraction of two subblocks, see section on interchannel decorrelation (#interchannel-decorrelation). * *Block size*: The total number of samples contained in a block or coded in a frame, divided by the number of channels. In other words, the number of samples in any subblock of a block, or any subframe of a frame. This is also called *interchannel samples*. * *Bit depth* or *bits per sample*: the number of bits used to contain each sample. This MUST be the same for all subblocks in a block but MAY be different for different subframes in a frame because of interchannel decorrelation (#interchannel- decorrelation). * *Predictor*: a model used to predict samples in an audio signal based on past samples. FLAC uses such predictors to remove redundancy in a signal in order to be able to compress it. * *Linear predictor*: a predictor using linear prediction (https://en.wikipedia.org/wiki/Linear_prediction). This is also called *linear predictive coding (LPC)*. With a linear predictor each prediction is a linear combination of past samples, hence the name. A linear predictor has a causal discrete-time finite impulse response (https://en.wikipedia.org/wiki/ Finite_impulse_response). * *Fixed predictor*: a linear predictor in which the model parameters are the same across all FLAC files, and thus not need to be stored. * *Predictor order*: the number of past samples that a predictor uses. For example, a 4th order predictor uses the 4 samples directly preceding a certain sample to predict it. In FLAC, samples used in a predictor are always consecutive, and are always the samples directly before the sample that is being predicted van Beurden & Weaver Expires 26 April 2023 [Page 6] Internet-Draft FLAC October 2022 * *Residual*: The audio signal that remains after a predictor has been subtracted from a subblock. If the predictor has been able to remove redundancy from the signal, the samples of the remaining signal (the *residual samples*) will have, on average, a smaller numerical value than the original signal. * *Rice code*: A variable-length code (https://en.wikipedia.org/wiki/Variable-length_code) which compresses data by making use of the observation that, after using an effective predictor, most residual samples are closer to zero than the original samples, while still allowing for a small part of the samples to be much larger. 5. Conceptual overview Similar to many audio coders, a FLAC file is encoded following the steps below. On decoding a FLAC file, these steps are undone in reverse order, i.e. from bottom to top. * Blocking (see section on Blocking (#blocking)). The input is split up into many contiguous blocks. With FLAC, the blocks MAY vary in size. The optimal size of the block is usually affected by many factors, including the sample rate, spectral characteristics over time, etc. However, as finding the optimal block size arrangement is a rather complex problem, the FLAC format allows for a constant block size throughout a stream as well. * Interchannel Decorrelation (see section on Interchannel Decorrelation (#interchannel-decorrelation)). In the case of stereo streams, the FLAC format allows for transforming the left- right signal into a mid-side signal to remove redundancy, if there is any. Besides coding as left-right and mid-side, it is also possible to code left-side and side-right, whichever ordering results in the highest compression. Choosing between any of these transformation is done independently for each block. van Beurden & Weaver Expires 26 April 2023 [Page 7] Internet-Draft FLAC October 2022 * Prediction (see section on Prediction (#prediction)). To remove redundancy in a signal, a predictor is stored for each subblock or its transformation as formed in the previous step. A predictor consists of a simple mathematical description that can be used, as the name implies, to predict a certain sample from the samples that preceded it. As this prediction is rarely exact, the error of this prediction is passed to the next stage. The predictor of each subblock is completely independent from other subblocks. Since the methods of prediction are known to both the encoder and decoder, only the parameters of the predictor need be included in the compressed stream. In case no usable predictor can be found for a certain subblock, the signal is stored instead of compressed and the next stage is skipped. * Residual Coding (See section on Residual Coding (#residual- coding)). As the predictor does not describe the signal exactly, the difference between the original signal and the predicted signal (called the error or residual signal) MUST be coded losslessly. If the predictor is effective, the residual signal will require fewer bits per sample than the original signal. FLAC uses Rice coding, a subset of Golomb coding, with either 4-bit or 5-bit parameters to code the residual signal. In addition, FLAC specifies a metadata system (see section on File- level metadata (#file-level-metadata)), which allows arbitrary information about the stream to be included at the beginning of the stream. 5.1. Blocking The size used for blocking the audio data has a direct effect on the compression ratio. If the block size is too small, the resulting large number of frames mean that excess bits will be wasted on frame headers. If the block size is too large, the characteristics of the signal may vary so much that the encoder will be unable to find a good predictor. In order to simplify encoder/decoder design, FLAC imposes a minimum block size of 16 samples, and a maximum block size of 65535 samples. This range covers the optimal size for all of the audio data FLAC supports. While the block size MAY vary in a FLAC file, it is often difficult to find the optimal arrangement of block sizes for maximum compression. Because of this the FLAC format explicitly stores whether a file has a constant or a variable block size throughout the stream, and stores a block number instead of a sample number to slightly improve compression in case a stream has a constant block size. van Beurden & Weaver Expires 26 April 2023 [Page 8] Internet-Draft FLAC October 2022 Blocked data is passed to the predictor stage one subblock at a time. Each subblock is independently coded into a subframe, and the subframes are concatenated into a frame. Because each channel is coded separately, subframes MAY use different predictors, even within a frame. 5.2. Interchannel Decorrelation In many audio files, channels are correlated. The FLAC format can exploit this correlation in stereo files by not directly coding subblocks into subframes, but instead coding an average of all samples in both subblocks (a mid channel) or the difference between all samples in both subblocks (a side channel). The following combinations are possible: * *Independent*. All channels are coded independently. All non- stereo files MUST be encoded this way. * *Mid-side*. A left and right subblock are converted to mid and side subframes. To calculate a sample for a mid subframe, the corresponding left and right samples are summed and the result is shifted right by 1 bit. To calculate a sample for a side subframe, the corresponding right sample is subtracted from the corresponding left sample. On decoding, all mid channel samples have to be shifted left by 1 bit. Also, if a side channel sample is odd, 1 has to be added to the corresponding mid channel sample after it has been shifted left by one bit. To reconstruct the left channel, the corresponding samples in the mid and side subframes are added and the result shifted right by 1 bit, while for the right channel the side channel has to be subtracted from the mid channel and the result shifted right by 1 bit. * *Left-side*. The left subblock is coded and the left and right subblock are used to code a side subframe. The side subframe is constructed in the same way as for mid-side. To decode, the right subblock is restored by subtracting the samples in the side subframe from the corresponding samples the left subframe. * *Right-side*. The right subblock is coded and the left and right subblock are used to code a side subframe. Note that the actual coded subframe order is side-right. The side subframe is constructed in the same way as for mid-side. To decode, the left subblock is restored by adding the samples in the side subframe to the corresponding samples in the right subframe. The side channel needs one extra bit of bit depth as the subtraction can produce sample values twice as large as the maximum possible in any given bit depth. The mid channel in mid-side stereo does not van Beurden & Weaver Expires 26 April 2023 [Page 9] Internet-Draft FLAC October 2022 need one extra bit, as it is shifted right one bit. The right shift of the mid channel does not lead to non-lossless behavior, because an odd sample in the mid subframe must always be accompanied by a corresponding odd sample in the side subframe, which means the lost least significant bit can be restored by taking it from the sample in the side subframe. 5.3. Prediction The FLAC format has four methods for modeling the input signal: 1. *Verbatim*. Samples are stored directly, without any modeling. This method is used for inputs with little correlation like white noise. Since the raw signal is not actually passed through the residual coding stage (it is added to the stream 'verbatim'), this method is different from using a zero-order fixed predictor. 2. *Constant*. A single sample value is stored. This method is used whenever a signal is pure DC ("digital silence"), i.e. a constant value throughout. 3. *Fixed predictor*. Samples are predicted with one of five fixed (i.e. predefined) predictors, the error of this prediction is processed by the residual coder. These fixed predictors are well suited for predicting simple waveforms. Since the predictors are fixed, no predictor coefficients are stored. From a mathematical point of view, the predictors work by extrapolating the signal from the previous samples. The number of previous samples used is equal to the predictor order. For more information see the section on the fixed predictor subframe (#fixed-predictor- subframe) 4. *Linear predictor*. Samples are predicted using past samples and a set of predictor coefficients, the error of this prediction is processed by the residual coder. Compared to a fixed predictor, using a generic linear predictor adds overhead as predictor coefficients need to be stored. Therefore, this method of prediction is best suited for predicting more complex waveforms, where the added overhead is offset by space savings in the residual coding stage resulting from more accurate prediction. A linear predictor in FLAC has two parameters besides the predictor coefficients and the predictor order: the number of bits with which each coefficient is stored (the coefficient precision) and a prediction right shift. A prediction is formed by taking the sum of multiplying each predictor coefficient with the corresponding past sample, and dividing that sum by applying the specified right shift. For more information see the section on the linear predictor subframe (#linear-predictor-subframe) van Beurden & Weaver Expires 26 April 2023 [Page 10] Internet-Draft FLAC October 2022 A FLAC encoder is free in selecting which method is used to model the input, with the following exceptions: * When the samples that need to be stored do not all have the same value (i.e. the signal is not constant), a constant subframe MUST NOT be used, * When an encoder is unable to find a fixed or linear predictor of which all residual samples are representable in 32-bit signed integers as stated in section coded residual (#coded-residual), a verbatim subframe MUST be used. For more information on fixed and linear predictors, see [HPL-1999-144] and [robinson-tr156]. 5.4. Residual Coding In case a subframe uses a predictor to approximate the audio signal, a residual needs to be stored to 'correct' the approximation to the exact value. When an effective predictor is used, the average numerical value of the residual samples is smaller than that of the samples before prediction. While having smaller values on average, it is possible a few 'outlier' residual samples are much larger than any of the original samples. Sometimes these outliers even exceed the range the bit depth of the original audio offers. To be able to efficiently code such a stream of relatively small numbers with an occasional outlier, Rice coding (a subset of Golomb coding) is used. Depending on how small the numbers are that have to be coded, a Rice parameter is chosen. The numerical value of each residual sample is split in two parts by dividing it with 2^(Rice parameter), creating a quotient and a remainder. The quotient is stored in unary form, the remainder in binary form. If indeed most residual samples are close to zero and the Rice parameter is chosen right, this form of coding, a so-called variable-length code, needs less bits to store than storing the residual in unencoded form. As Rice codes can only handle unsigned numbers, signed numbers are zigzag encoded to a so-called folded residual. For more information see section coded residual (#coded-residual) for a more thorough explanation. Quite often the optimal Rice parameter varies over the course of a subframe. To accommodate this, the residual can be split up into partitions, where each partition has its own Rice parameter. To keep overhead and complexity low, the number of partitions used in a subframe is limited to powers of two. van Beurden & Weaver Expires 26 April 2023 [Page 11] Internet-Draft FLAC October 2022 The FLAC format uses two forms of Rice coding, which only differ in the number of bits used for encoding the Rice parameter, either 4 or 5 bits. 6. Format principles FLAC has no format version information, but it does contain reserved space in several places. Future versions of the format MAY use this reserved space safely without breaking the format of older streams. Older decoders MAY choose to abort decoding or skip data encoded with newer methods. Apart from reserved patterns, the format specifies invalid patterns in certain places, meaning that the patterns MUST NOT appear in any valid bitstream, in any prior, present, or future versions of the format. These invalid patterns are usually used to make the synchronization mechanism more robust. All numbers used in a FLAC bitstream MUST be integers, there are no floating-point representations. All numbers MUST be big-endian coded, except the field length used in Vorbis comments, which MUST be little-endian coded. All numbers MUST be unsigned except linear predictor coefficients, the linear prediction shift and numbers which directly represent samples, which MUST be signed. None of these restrictions apply to application metadata blocks or to Vorbis comment field contents. All samples encoded to and decoded from the FLAC format MUST be in a signed representation. There are several ways to convert unsigned sample representations to signed sample representations, but the coding methods provided by the FLAC format work best on audio signals of which the numerical values of the samples are centered around zero, i.e. have no DC offset. In most unsigned audio formats, signals are centered around halfway the range of the unsigned integer type used. If that is the case, all sample representations SHOULD be converted by first copying the number to a signed integer with sufficient range and then subtracting half of the range of the unsigned integer type, which should result in a signal with samples centered around 0. Unary coding in a FLAC bitstream is done with zero bits terminated with a one bit, e.g. the number 5 is coded unary as 0b000001. This prevents the frame sync code from appearing in unary coded numbers. 7. Format lay-out Before the formal description of the stream, an overview of the lay- out of FLAC file might be helpful. van Beurden & Weaver Expires 26 April 2023 [Page 12] Internet-Draft FLAC October 2022 A FLAC bitstream consists of the fLaC (i.e. 0x664C6143) marker at the beginning of the stream, followed by a mandatory metadata block (called the STREAMINFO block), any number of other metadata blocks, then the audio frames. FLAC supports up to 128 kinds of metadata blocks; currently 7 kinds are defined in the section file-level metadata (#file-level- metadata). The audio data is composed of one or more audio frames. Each frame consists of a frame header, which contains a sync code, information about the frame like the block size, sample rate, number of channels, et cetera, and an 8-bit CRC. The frame header also contains either the sample number of the first sample in the frame (for variable block size streams), or the frame number (for fixed block size streams). This allows for fast, sample-accurate seeking to be performed. Following the frame header are encoded subframes, one for each channel. The frame is then zero-padded to a byte boundary and finished with a frame footer containing a checksum for the frame. Each subframe has its own header that specifies how the subframe is encoded. Since a decoder MAY start decoding in the middle of a stream, there MUST be a method to determine the start of a frame. A 15-bit sync code begins each frame. The sync code will not appear anywhere else in the frame header. However, since it MAY appear in the subframes, the decoder has two other ways of ensuring a correct sync. The first is to check that the rest of the frame header contains no invalid data. Even this is not foolproof since valid header patterns can still occur within the subframes. The decoder's final check is to generate an 8-bit CRC of the frame header and compare this to the CRC stored at the end of the frame header. van Beurden & Weaver Expires 26 April 2023 [Page 13] Internet-Draft FLAC October 2022 Also, since a decoder MAY start decoding at an arbitrary frame in the stream, each frame header MUST contain some basic information about the stream because the decoder MAY not have access to the STREAMINFO metadata block at the start of the stream. This information includes sample rate, bits per sample, number of channels, etc. Since the frame header is pure overhead, it has a direct effect on the compression ratio. To keep the frame header as small as possible, FLAC uses lookup tables for the most commonly used values for frame properties. When a certain property has a value that is not covered by the lookup table, the decoder is directed to find the value of that property (for example the sample rate) at the end of the frame header or in the streaminfo metadata block. In case a frame header refers to the streaminfo metadata block, the file is not 'streamable', see section format subset (#format-subset) for details. In this way, the file is streamable and the frame header size small for all of the most common forms of audio data. Individual subframes (one for each channel) are coded separately within a frame, and appear serially in the stream. In other words, the encoded audio data is NOT channel-interleaved. This reduces decoder complexity at the cost of requiring larger decode buffers. Each subframe has its own header specifying the attributes of the subframe, like prediction method and order, residual coding parameters, etc. Each subframe header is followed by the encoded audio data for that channel. 8. Format subset The FLAC format specifies a subset of itself as the Subset format. The purpose of this is to ensure that any streams encoded according to the Subset are truly "streamable", meaning that a decoder that cannot seek within the stream can still pick up in the middle of the stream and start decoding. It also makes hardware decoder implementations more practical by limiting the encoding parameters such that decoder buffer sizes and other resource requirements can be easily determined. The flac command-line tool, part of the FLAC reference implementation, (see section implementation status (#implementation-status)) generates Subset streams by default unless the --lax command-line option is used. The Subset makes the following limitations on what MAY be used in the stream: * The sample rate bits (#sample-rate-bits) in the frame header MUST be 0b0001-0b1110, i.e. the frame header MUST NOT refer to the streaminfo metadata block to find the sample rate. * The bits depth bits (#bit-depth-bits) in the frame header MUST be 0b001-0b111, i.e. the frame header MUST NOT refer to the streaminfo metadata block to find the bit depth. van Beurden & Weaver Expires 26 April 2023 [Page 14] Internet-Draft FLAC October 2022 * The stream MUST NOT contain blocks with more than 16384 inter- channel samples, i.e. the maximum block size must not be larger than 16384. * Audio with a sample rate less than or equal to 48000 Hz MUST NOT be contained in blocks with more than 4608 inter-channel samples, i.e. the maximum block size used for this audio must not be larger than 4608. * Linear prediction subframes (see section linear predictor subframe (#linear-predictor-subframe)) containing audio with a sample rate less than or equal to 48000 Hz MUST have a predictor order less than or equal to 12, i.e. the subframe type bits in the subframe header (see subframe header section (#subframe-header)) MUST NOT be 0b101100-0b111111. * The Rice partition order (see coded residual section (#coded- residual)) MUST be less than or equal to 8. * The channel ordering MUST be equal to one defined in the section channels bits (#channels-bits), i.e. the FLAC file MUST NOT need a WAVEFORMATEXTENSIBLE_CHANNEL_MASK tag to describe the channel ordering. See section channel mask (#channel-mask) for details. 9. File-level metadata At the start of a FLAC file or stream, following the fLaC ASCII file signature, one or more metadata blocks MUST be present before any audio frames appear. The first metadata block MUST be a streaminfo block. 9.1. Metadata block header Each metadata block starts with a 4 byte header. The first bit in this header flags whether a metadata block is the last one, it is a 0 when other metadata blocks follow, otherwise it is a 1. The 7 remaining bits of the first header byte contain the type of the metadata block as an unsigned number between 0 and 126 according to the following table. A value of 127 (i.e. 0b1111111) is invalid. The three bytes that follow code for the size of the metadata block in bytes excluding the 4 header bytes as an unsigned number coded big-endian. van Beurden & Weaver Expires 26 April 2023 [Page 15] Internet-Draft FLAC October 2022 +=========+====================================================+ | Value | Metadata block type | +=========+====================================================+ | 0 | Streaminfo | +---------+----------------------------------------------------+ | 1 | Padding | +---------+----------------------------------------------------+ | 2 | Application | +---------+----------------------------------------------------+ | 3 | Seektable | +---------+----------------------------------------------------+ | 4 | Vorbis comment | +---------+----------------------------------------------------+ | 5 | Cuesheet | +---------+----------------------------------------------------+ | 6 | Picture | +---------+----------------------------------------------------+ | 7 - 126 | reserved | +---------+----------------------------------------------------+ | 127 | invalid, to avoid confusion with a frame sync code | +---------+----------------------------------------------------+ Table 1 9.2. Streaminfo The streaminfo metadata block has information about the whole stream, like sample rate, number of channels, total number of samples, etc. It MUST be present as the first metadata block in the stream. Other metadata blocks MAY follow. There MUST be no more than one streaminfo metadata block per FLAC stream. In case the streaminfo metadata block contains incorrect or incomplete information, decoder behaviour is left unspecified (i.e. up to the decoder implementation). A decoder MAY choose to stop further decoding in case the information supplied by the streaminfo metadata block turns out to be incorrect or invalid. A decoder accepting information from the streaminfo block (most significantly the maximum frame size, maximum block size, number of audio channels, number of bits per sample and total number of samples) without doing further checks during decoding of audio frames could be vulnerable to buffer overflows. See also the section on security considerations (#security-considerations). van Beurden & Weaver Expires 26 April 2023 [Page 16] Internet-Draft FLAC October 2022 +========+===================================================+ | Data | Description | +========+===================================================+ | u(16) | The minimum block size (in samples) used in the | | | stream, excluding the last block. | +--------+---------------------------------------------------+ | u(16) | The maximum block size (in samples) used in the | | | stream. | +--------+---------------------------------------------------+ | u(24) | The minimum frame size (in bytes) used in the | | | stream. A value of 0 signifies that the value is | | | not known. | +--------+---------------------------------------------------+ | u(24) | The maximum frame size (in bytes) used in the | | | stream. A value of 0 signifies that the value is | | | not known. | +--------+---------------------------------------------------+ | u(20) | Sample rate in Hz. | +--------+---------------------------------------------------+ | u(3) | (number of channels)-1. FLAC supports from 1 to | | | 8 channels. | +--------+---------------------------------------------------+ | u(5) | (bits per sample)-1. FLAC supports from 4 to 32 | | | bits per sample. | +--------+---------------------------------------------------+ | u(36) | Total samples in stream. 'Samples' means inter- | | | channel sample, i.e. one second of 44.1 kHz audio | | | will have 44100 samples regardless of the number | | | of channels. A value of zero here means the | | | number of total samples is unknown. | +--------+---------------------------------------------------+ | u(128) | MD5 signature of the unencoded audio data. This | | | allows the decoder to determine if an error | | | exists in the audio data even when the error does | | | not result in an invalid bitstream. A value of 0 | | | signifies that the value is not known. | +--------+---------------------------------------------------+ Table 2 The minimum block size is excluding the last block of a FLAC file, which may be smaller. If the minimum block size is equal to the maximum block size, the file contains a fixed block size stream. Note that in case of a stream with a variable block size, the actual maximum block size MAY be smaller than the maximum block size listed in the streaminfo block, and the actual smallest block size excluding the last block MAY be larger than the minimum block size listed in the streaminfo block. This is because the encoder has to write these van Beurden & Weaver Expires 26 April 2023 [Page 17] Internet-Draft FLAC October 2022 fields before receiving any input audio data, and cannot know beforehand what block sizes it will use, only between what bounds these will be chosen. FLAC specifies a minimum block size of 16 and a maximum block size of 65535, meaning the bit patterns corresponding to the numbers 0-15 in the minimum block size and maximum block size fields are invalid. The sample rate MUST NOT be 0 when the FLAC file contains audio. A sample rate of 0 MAY be used when non-audio is represented. This is useful if data is encoded that is not along a time axis, or when the sample rate of the data lies outside the range that FLAC can represent in the streaminfo metadata block. In case a sample rate of 0 is used it is RECOMMENDED to store the meaning of the encoded content in a Vorbis comment field or an application metadata block. This document does not define such metadata. The MD5 signature is made by performing an MD5 transformation on the samples of all channels interleaved, represented in signed, little- endian form. This interleaving is on a per-sample basis, so for a stereo file this means first the first sample of the first channel, then the first sample of the second channel, then the second sample of the first channel etc. Before performing the MD5 transformation, all samples must be byte-aligned. So, in case the bit depth is not a whole number of bytes, additional zero bits are inserted at the most- significant position until each sample representation is a whole number of bytes. 9.3. Padding The padding metadata block allows for an arbitrary amount of padding. The contents of a padding block have no meaning. This block is useful when it is known that metadata will be edited after encoding; the user can instruct the encoder to reserve a padding block of sufficient size so that when metadata is added, it will simply overwrite the padding (which is relatively quick) instead of having to insert it into the right place in the existing file (which would normally require rewriting the entire file). +======+========================================+ | Data | Description | +======+========================================+ | u(n) | n '0' bits (n MUST be a multiple of 8) | +------+----------------------------------------+ Table 3 van Beurden & Weaver Expires 26 April 2023 [Page 18] Internet-Draft FLAC October 2022 9.4. Application The application metadata block is for use by third-party applications. The only mandatory field is a 32-bit identifier, much like a FourCC but not restricted to ASCII characters. An ID registry is being maintained at https://xiph.org/flac/id.html (https://xiph.org/flac/id.html). +=======+===========================================+ | Data | Description | +=======+===========================================+ | u(32) | Registered application ID. (Visit the | | | registration page (https://xiph.org/flac/ | | | id.html) to register an ID with FLAC.) | +-------+-------------------------------------------+ | u(n) | Application data (n MUST be a multiple of | | | 8) | +-------+-------------------------------------------+ Table 4 9.5. Seektable The seektable metadata block can be used to store seek points. It is possible to seek to any given sample in a FLAC stream without a seek table, but the delay can be unpredictable since the bitrate may vary widely within a stream. By adding seek points to a stream, this delay can be significantly reduced. There MUST NOT be more than one seektable metadata block in a stream, but the table can have any number of seek points. Each seek point takes 18 bytes, so a seek table with 1% resolution within a stream adds less than 2 kilobyte of data. The number of seek points is implied by the metadata header 'length' field, i.e. equal to length / 18. There is also a special 'placeholder' seekpoint which will be ignored by decoders but which can be used to reserve space for future seek point insertion. +============+==========================+ | Data | Description | +============+==========================+ | SEEKPOINT+ | One or more seek points. | +------------+--------------------------+ Table 5 van Beurden & Weaver Expires 26 April 2023 [Page 19] Internet-Draft FLAC October 2022 A seektable is generally not usable for seeking in a FLAC file embedded in a container, as such containers usually interleave FLAC data with other data and the offsets used in seekpoints are those of an unmuxed FLAC stream. Also, containers often provide their own seeking methods. It is however possible to store the seektable in the container along with other metadata when muxing a FLAC file, so this stored seektable can be restored on demuxing the FLAC stream into a standalone FLAC file. 9.5.1. Seekpoint +=======+==========================================================+ | Data | Description | +=======+==========================================================+ | u(64) | Sample number of first sample in the target frame, or | | | 0xFFFFFFFFFFFFFFFF for a placeholder point. | +-------+----------------------------------------------------------+ | u(64) | Offset (in bytes) from the first byte of the first frame | | | header to the first byte of the target frame's header. | +-------+----------------------------------------------------------+ | u(16) | Number of samples in the target frame. | +-------+----------------------------------------------------------+ Table 6 NOTES * For placeholder points, the second and third field values are undefined. * Seek points within a table MUST be sorted in ascending order by sample number. * Seek points within a table MUST be unique by sample number, with the exception of placeholder points. * The previous two notes imply that there MAY be any number of placeholder points, but they MUST all occur at the end of the table. * The sample offsets are those of an unmuxed FLAC stream. The offsets MUST NOT be updated on muxing to reflect new offsets of FLAC frames in a container. 9.6. Vorbis comment A Vorbis comment metadata block contains human-readable information coded in UTF-8. The name Vorbis comment points to the fact that the Vorbis codec stores such metadata in almost the same way. A Vorbis comment metadata block consists of a vendor string optionally followed by a number of fields, which are pairs of field names and field contents. Many users refer to these fields as FLAC tags or van Beurden & Weaver Expires 26 April 2023 [Page 20] Internet-Draft FLAC October 2022 simply as tags. A FLAC file MUST NOT contain more than one Vorbis comment metadata block. In a Vorbis comment metadata block, the metadata block header is directly followed by 4 bytes containing the length in bytes of the vendor string as an unsigned number coded little-endian. The vendor string follows UTF-8 coded, and is not terminated in any way. Following the vendor string are 4 bytes containing the number of fields that are in the Vorbis comment block, stored as an unsigned number, coded little-endian. If this number is non-zero, it is followed by the fields themselves, each field stored with a 4 byte length. First, the 4 byte field length in bytes is stored as an unsigned number, coded little-endian. The field itself is, like the vendor string, UTF-8 coded, not terminated in any way. Each field consists of a field name and a field content, separated by an = character. The field name MUST only consist of UTF-8 code points U+0020 through U+0074, excluding U+003D, which is the = character. In other words, the field name can contain all printable ASCII characters except the equals sign. The evaluation of the field names MUST be case insensitive, so U+0041 through 0+005A (A-Z) MUST be considered equivalent to U+0061 through U+007A (a-z) respectively. The field contents can contain any UTF-8 character. Note that the Vorbis comment as used in Vorbis allows for on the order of 2^64 bytes of data whereas the FLAC metadata block is limited to 2^24 bytes. Given the stated purpose of Vorbis comments, i.e. human-readable textual information, this limit is unlikely to be restrictive. Also note that the 32-bit field lengths are coded little-endian, as opposed to the usual big-endian coding of fixed- length integers in the rest of the FLAC format. 9.6.1. Standard field names Except the one defined in the section channel mask (#channel-mask), no standard field names are defined. In general, most FLAC playback devices and software recognize the following field names: * Title: name of the current work * Artist: name of the artist generally responsible for the current work. For orchestral works this is usually the composer, otherwise is it often the performer * Album: name of the collection the current work belongs to For a more comprehensive list of possible field names, the list of tags used in the MusicBrainz project (http://picard- docs.musicbrainz.org/en/variables/variables.html) is recommended. van Beurden & Weaver Expires 26 April 2023 [Page 21] Internet-Draft FLAC October 2022 9.6.2. Channel mask Besides fields containing information about the work itself, one field is defined for technical reasons, of which the field name is WAVEFORMATEXTENSIBLE_CHANNEL_MASK. This field contains information on which channels the file contains. Use of this field is RECOMMENDED in case these differ from the channels defined in the section channels bits (#channels-bits). The channel mask consists of flag bits indicating which channels are present, stored in a hexadecimal representation preceded by 0x. The flags only signal which channels are present, not in which order, so in case a file has to be encoded in which channels are ordered differently, they have to be reordered. Please note that a file in which the channel order is defined through the WAVEFORMATEXTENSIBLE_CHANNEL_MASK is not streamable, i.e. non-subset, as the field is not found in each frame header. The mask bits can be found in the following table van Beurden & Weaver Expires 26 April 2023 [Page 22] Internet-Draft FLAC October 2022 +============+=============================+ | Bit number | Channel description | +============+=============================+ | 0 | Front left | +------------+-----------------------------+ | 1 | Front right | +------------+-----------------------------+ | 2 | Front center | +------------+-----------------------------+ | 3 | Low-frequency effects (LFE) | +------------+-----------------------------+ | 4 | Back left | +------------+-----------------------------+ | 5 | Back right | +------------+-----------------------------+ | 6 | Front left of center | +------------+-----------------------------+ | 7 | Front right of center | +------------+-----------------------------+ | 8 | Back center | +------------+-----------------------------+ | 9 | Side left | +------------+-----------------------------+ | 10 | Side right | +------------+-----------------------------+ | 11 | Top center | +------------+-----------------------------+ | 12 | Top front left | +------------+-----------------------------+ | 13 | Top front center | +------------+-----------------------------+ | 14 | Top front right | +------------+-----------------------------+ | 15 | Top rear left | +------------+-----------------------------+ | 16 | Top rear center | +------------+-----------------------------+ | 17 | Top rear right | +------------+-----------------------------+ Table 7 Following are 3 examples: * if a file has a single channel, being a LFE channel, the Vorbis comment field is WAVEFORMATEXTENSIBLE_CHANNEL_MASK=0x8 van Beurden & Weaver Expires 26 April 2023 [Page 23] Internet-Draft FLAC October 2022 * if a file has 4 channels, being front left, front right, top front left and top front right, the Vorbis comment field is WAVEFORMATEXTENSIBLE_CHANNEL_MASK=0x5003 * if an input has 4 channels, being back center, top front center, front center and top rear center in that order, they have to be reordered to front center, back center, top front center and top rear center. The Vorbis comment field added is WAVEFORMATEXTENSIBLE_CHANNEL_MASK=0x12104. WAVEFORMATEXTENSIBLE_CHANNEL_MASK fields MAY be padded with zeros, for example, 0x0008 for a single LFE channel. Parsing of WAVEFORMATEXTENSIBLE_CHANNEL_MASK fields MUST be case-insensitive for both the field name and the field contents. A WAVEFORMATEXTENSIBLE_CHANNEL_MASK field of 0x0 can be used to indicate that none of the audio channels of a file correlate with speaker positions. This is the case when audio needs to be decoded into speaker positions (e.g. Ambisonics B-format audio) or when a multitrack recording is contained. It is possible for a WAVEFORMATEXTENSIBLE_CHANNEL_MASK field to code for fewer channels than present in the audio. If that is the case, the remaining channels SHOULD not be rendered by a playback application unfamiliar with their purpose. For example, the Ambisonics UHJ format is compatible with stereo playback, its first two channels can be played back on stereo equipment, but all four channels together can be decoded into surround sound. For that example, the Vorbis comment field WAVEFORMATEXTENSIBLE_CHANNEL_MASK=0x3 would be set, indicating the first two channels are front left and front right, and other channels do not correlate with speaker positions directly. In case audio channels not assigned to any speaker are contained and decoding to speaker positions is possible, it is RECOMMENDED to provide metadata on how this decoding should take place in another Vorbis comment field or an application metadata block. This document does not define such metadata. 9.7. Cuesheet To either store the track and index point structure of a CD-DA along with its audio or to provide a mechanism to store locations of interest within a FLAC file, a cuesheet metadata block can be used. Certain aspects of this metadata block follow directly from the CD-DA specification, called Red Book, which is standardized as [IEC.60908.1999]. For more information on the function and history of these aspects, please refer to [IEC.60908.1999]. van Beurden & Weaver Expires 26 April 2023 [Page 24] Internet-Draft FLAC October 2022 The structure of a cuesheet metadata block is enumerated in the following table. +============+================================================+ | Data | Description | +============+================================================+ | u(128*8) | Media catalog number, in ASCII printable | | | characters 0x20-0x7E. | +------------+------------------------------------------------+ | u(64) | Number of lead-in samples. | +------------+------------------------------------------------+ | u(1) | 1 if the cuesheet corresponds to a Compact | | | Disc, else 0. | +------------+------------------------------------------------+ | u(7+258*8) | Reserved. All bits MUST be set to zero. | +------------+------------------------------------------------+ | u(8) | Number of tracks in this cuesheet. | +------------+------------------------------------------------+ | Cuesheet | A number of structures as specified in the | | tracks | section cuesheet track (#cuesheet-track) equal | | | to the number of tracks specified previously. | +------------+------------------------------------------------+ Table 8 If the media catalog number is less than 128 bytes long, it SHOULD be right-padded with NUL characters. For CD-DA, this is a thirteen digit number, followed by 115 NUL bytes. The number of lead-in samples has meaning only for CD-DA cuesheets; for other uses it SHOULD be 0. For CD-DA, the lead-in is the TRACK 00 area where the table of contents is stored; more precisely, it is the number of samples from the first sample of the media to the first sample of the first index point of the first track. According to [IEC.60908.1999], the lead-in MUST be silence and CD grabbing software does not usually store it; additionally, the lead-in MUST be at least two seconds but MAY be longer. For these reasons the lead- in length is stored here so that the absolute position of the first track can be computed. Note that the lead-in stored here is the number of samples up to the first index point of the first track, not necessarily to INDEX 01 of the first track; even the first track MAY have INDEX 00 data. van Beurden & Weaver Expires 26 April 2023 [Page 25] Internet-Draft FLAC October 2022 The number of tracks MUST be at least 1, as a cuesheet block MUST have a lead-out track. For CD-DA, this number MUST be no more than 100 (99 regular tracks and one lead-out track). The lead-out track is always the last track in the cuesheet. For CD-DA, the lead-out track number MUST be 170 as specified by [IEC.60908.1999], otherwise it MUST be 255. 9.7.1. Cuesheet track +===========+=======================================================+ | Data | Description | +===========+=======================================================+ | u(64) | Track offset of first index point in | | | samples, relative to the beginning of the | | | FLAC audio stream. | +-----------+-------------------------------------------------------+ | u(8) | Track number. | +-----------+-------------------------------------------------------+ | u(12*8) | Track ISRC. | +-----------+-------------------------------------------------------+ | u(1) | The track type: 0 for audio, 1 for non- | | | audio. This corresponds to the CD-DA | | | Q-channel control bit 3. | +-----------+-------------------------------------------------------+ | u(1) | The pre-emphasis flag: 0 for no pre- | | | emphasis, 1 for pre-emphasis. This | | | corresponds to the CD-DA Q-channel control | | | bit 5. | +-----------+-------------------------------------------------------+ | u(6+13*8) | Reserved. All bits MUST be set to zero. | +-----------+-------------------------------------------------------+ | u(8) | The number of track index points. | +-----------+-------------------------------------------------------+ | Cuesheet | For all tracks except the lead-out track, a | | track | number of structures as specified in the | | index | section cuesheet track index point | | points | (#cuesheet-track-index-point) equal to the | | | number of index points specified previously. | +-----------+-------------------------------------------------------+ Table 9 Note that the track offset differs from the one in CD-DA, where the track's offset in the TOC is that of the track's INDEX 01 even if there is an INDEX 00. For CD-DA, the track offset MUST be evenly divisible by 588 samples (588 samples = 44100 samples/s * 1/75 s). van Beurden & Weaver Expires 26 April 2023 [Page 26] Internet-Draft FLAC October 2022 A track number of 0 is not allowed to avoid conflicting with the CD- DA spec, which reserves this for the lead-in. For CD-DA the number MUST be 1-99, or 170 for the lead-out; for non-CD-DA, the track number MUST be 255 for the lead-out. It is RECOMMENDED to start with track 1 and increase sequentially. Track numbers MUST be unique within a cuesheet. The track ISRC (International Standard Recording Code) is a 12-digit alphanumeric code; see [ISRC-handbook]. A value of 12 ASCII NUL characters MAY be used to denote absence of an ISRC. There MUST be at least one index point in every track in a cuesheet except for the lead-out track, which MUST have zero. For CD-DA, the number of index points SHOULD NOT be more than 100. 9.7.1.1. Cuesheet track index point +========+====================================+ | Data | Description | +========+====================================+ | u(64) | Offset in samples, relative to the | | | track offset, of the index point. | +--------+------------------------------------+ | u(8) | The track index point number. | +--------+------------------------------------+ | u(3*8) | Reserved. All bits MUST be set to | | | zero. | +--------+------------------------------------+ Table 10 For CD-DA, the track index point offset MUST be evenly divisible by 588 samples (588 samples = 44100 samples/s * 1/75 s). Note that the offset is from the beginning of the track, not the beginning of the audio data. For CD-DA, an track index point number of 0 corresponds to the track pre-gap. The first index point in a track MUST have a number of 0 or 1, and subsequently, index point numbers MUST increase by 1. Index point numbers MUST be unique within a track. van Beurden & Weaver Expires 26 April 2023 [Page 27] Internet-Draft FLAC October 2022 9.8. Picture The picture metadata block contains image data of a picture in some way belonging to the audio contained in the FLAC file. Its format is derived from the APIC frame in the ID3v2 specification. However, contrary to the APIC frame in ID3v2, the media type and description are prepended with a 4-byte length field instead of being null delimited strings. A FLAC file MAY contain one or more picture metadata blocks. Note that while the length fields for media type, description and picture data are 4 bytes in length and could in theory code for a size up to 4 GiB, the total metadata block size cannot exceed what can be described by the metadata block header, i.e. 16 MiB. The structure of a picture metadata block is enumerated in the following table. van Beurden & Weaver Expires 26 April 2023 [Page 28] Internet-Draft FLAC October 2022 +========+==================================================+ | Data | Description | +========+==================================================+ | u(32) | The picture type according to next table | +--------+--------------------------------------------------+ | u(32) | The length of the media type string in bytes. | +--------+--------------------------------------------------+ | u(n*8) | The media type string, in printable ASCII | | | characters 0x20-0x7E. The media type MAY also | | | be --> to signify that the data part is a URI of | | | the picture instead of the picture data itself. | +--------+--------------------------------------------------+ | u(32) | The length of the description string in bytes. | +--------+--------------------------------------------------+ | u(n*8) | The description of the picture, in UTF-8. | +--------+--------------------------------------------------+ | u(32) | The width of the picture in pixels. | +--------+--------------------------------------------------+ | u(32) | The height of the picture in pixels. | +--------+--------------------------------------------------+ | u(32) | The color depth of the picture in bits-per- | | | pixel. | +--------+--------------------------------------------------+ | u(32) | For indexed-color pictures (e.g. GIF), the | | | number of colors used, or 0 for non-indexed | | | pictures. | +--------+--------------------------------------------------+ | u(32) | The length of the picture data in bytes. | +--------+--------------------------------------------------+ | u(n*8) | The binary picture data. | +--------+--------------------------------------------------+ Table 11 The height, width, color depth and 'number of colors' fields are for informational purposes only. Applications MUST NOT use them in decoding the picture or deciding how to display it, but MAY use them to decide to process a block or not (e.g. when selecting between different pictures blocks) and MAY show them to the user. In case a picture has no concept for any of these fields (e.g. vector images may not have a height or width in pixels) or the content of any field is unknown, the affected fields MUST be set to zero. van Beurden & Weaver Expires 26 April 2023 [Page 29] Internet-Draft FLAC October 2022 The following table contains all defined picture types. Values other than those listed in the table are reserved and SHOULD NOT be used. There MAY only be one each of picture type 1 and 2 in a file. In general practice, many FLAC playback devices and software display the contents of a picture metadata block with picture type 3 (front cover) during playback, if present. van Beurden & Weaver Expires 26 April 2023 [Page 30] Internet-Draft FLAC October 2022 +=======+=================================================+ | Value | Picture type | +=======+=================================================+ | 0 | Other | +-------+-------------------------------------------------+ | 1 | PNG file icon of 32x32 pixels | +-------+-------------------------------------------------+ | 2 | General file icon | +-------+-------------------------------------------------+ | 3 | Front cover | +-------+-------------------------------------------------+ | 4 | Back cover | +-------+-------------------------------------------------+ | 5 | Liner notes page | +-------+-------------------------------------------------+ | 6 | Media label (e.g. CD, Vinyl or Cassette label) | +-------+-------------------------------------------------+ | 7 | Lead artist, lead performer or soloist | +-------+-------------------------------------------------+ | 8 | Artist or performer | +-------+-------------------------------------------------+ | 9 | Conductor | +-------+-------------------------------------------------+ | 10 | Band or orchestra | +-------+-------------------------------------------------+ | 11 | Composer | +-------+-------------------------------------------------+ | 12 | Lyricist or text writer | +-------+-------------------------------------------------+ | 13 | Recording location | +-------+-------------------------------------------------+ | 14 | During recording | +-------+-------------------------------------------------+ | 15 | During performance | +-------+-------------------------------------------------+ | 16 | Movie or video screen capture | +-------+-------------------------------------------------+ | 17 | A bright colored fish | +-------+-------------------------------------------------+ | 18 | Illustration | +-------+-------------------------------------------------+ | 19 | Band or artist logotype | +-------+-------------------------------------------------+ | 20 | Publisher or studio logotype | +-------+-------------------------------------------------+ Table 12 van Beurden & Weaver Expires 26 April 2023 [Page 31] Internet-Draft FLAC October 2022 In case not a picture but a URI is contained in this block, the following points apply: * The URI can be either in absolute or in relative form. In case an URI is in relative form, it is related to the URI of the FLAC content processed. * Applications MUST obtain explicit user approval to retrieve images via remote protocols and to retrieve local images not located in the same directory as the FLAC file being processed. * Applications supporting linked images MUST handle unavailability of URIs gracefully. They MAY report unavailability to the user. * Applications MAY reject processing URIs for any reason, in particular for security or privacy reasons. 10. Frame structure Directly after the last metadata block, one or more frames follow. Each frame consists of a frame header, one or more subframes, padding zero bits to achieve byte-alignment and a frame footer. The number of subframes in each frame is equal to the number of audio channels. Each frame header stores the audio sample rate, number of bits per sample and number of channels independently of the streaminfo metadata block and other frame headers. This was done to permit multicasting of FLAC files but it also allows these properties to change mid-stream. Because not all environments in which FLAC decoders are used are able to cope with changes to these properties during playback, a decoder MAY choose to stop decoding on such a change. A decoder that does not check for such a change could be vulnerable to buffer overflows. See also the section on security considerations (#security-considerations). Note that storing audio with changing audio properties in FLAC results in various practical problems. For example, these changes of audio properties must happen on a frame boundary, or the process will not be lossless. When a variable block size is chosen to accommodate this, note that blocks smaller than 16 samples are not allowed and it is therefore not possible to store an audio stream in which these properties change within 16 samples of the last change or the start of the file. Also, since the streaminfo metadata block can only accommodate a single set of properties, it is only valid for part of such an the audio stream. Instead, it is RECOMMENDED to store an audio stream with changing properties in FLAC encapsulated in a container capable of handling such changes, as these do not suffer from the mentioned limitations. See section container mappings (#container-mappings) for details. van Beurden & Weaver Expires 26 April 2023 [Page 32] Internet-Draft FLAC October 2022 10.1. Frame header Each frame MUST start on a byte boundary and starts with the 15-bit frame sync code 0b111111111111100. Following the sync code is the blocking strategy bit, which MUST NOT change during the audio stream. The blocking strategy bit is 0 for a fixed block size stream or 1 for variable block size stream. If the blocking strategy is known, a decoder can include this bit when searching for the start of a frame to reduce the possibility of encountering a false positive, as the first two bytes of a frame are either 0xFFF8 for a fixed block size stream or 0xFFF9 for a variable block size stream. 10.1.1. Block size bits Following the frame sync code and block size strategy bit are 4 bits referred to as the block size bits. Their value relates to the block size according to the following table, where v is the value of the 4 bits as an unsigned number. In case the block size bits code for an uncommon block size, this is stored after the coded number, see section uncommon block size (#uncommon-block-size). +=================+===========================================+ | Value | Block size | +=================+===========================================+ | 0b0000 | reserved | +-----------------+-------------------------------------------+ | 0b0001 | 192 | +-----------------+-------------------------------------------+ | 0b0010 - 0b0101 | 144 * (2^v), i.e. 576, 1152, 2304 or 4608 | +-----------------+-------------------------------------------+ | 0b0110 | uncommon block size minus 1 stored as an | | | 8-bit number | +-----------------+-------------------------------------------+ | 0b0111 | uncommon block size minus 1 stored as a | | | 16-bit number | +-----------------+-------------------------------------------+ | 0b1000 - 0b1111 | 2^v, i.e. 256, 512, 1024, 2048, 4096, | | | 8192, 16384 or 32768 | +-----------------+-------------------------------------------+ Table 13 van Beurden & Weaver Expires 26 April 2023 [Page 33] Internet-Draft FLAC October 2022 10.1.2. Sample rate bits The next 4 bits, referred to as the sample rate bits, contain the sample rate of the audio according to the following table. In case the sample rate bits code for an uncommon sample rate, this is stored after the uncommon block size or after the coded number in case no uncommon block size was used. See section uncommon sample rate (#uncommon-sample-rate). +========+=======================================================+ | Value | Sample rate | +========+=======================================================+ | 0b0000 | sample rate only stored in streaminfo metadata block | +--------+-------------------------------------------------------+ | 0b0001 | 88.2 kHz | +--------+-------------------------------------------------------+ | 0b0010 | 176.4 kHz | +--------+-------------------------------------------------------+ | 0b0011 | 192 kHz | +--------+-------------------------------------------------------+ | 0b0100 | 8 kHz | +--------+-------------------------------------------------------+ | 0b0101 | 16 kHz | +--------+-------------------------------------------------------+ | 0b0110 | 22.05 kHz | +--------+-------------------------------------------------------+ | 0b0111 | 24 kHz | +--------+-------------------------------------------------------+ | 0b1000 | 32 kHz | +--------+-------------------------------------------------------+ | 0b1001 | 44.1 kHz | +--------+-------------------------------------------------------+ | 0b1010 | 48 kHz | +--------+-------------------------------------------------------+ | 0b1011 | 96 kHz | +--------+-------------------------------------------------------+ | 0b1100 | uncommon sample rate in kHz stored as an 8-bit number | +--------+-------------------------------------------------------+ | 0b1101 | uncommon sample rate in Hz stored as a 16-bit number | +--------+-------------------------------------------------------+ | 0b1110 | uncommon sample rate in Hz divided by 10, stored as a | | | 16-bit number | +--------+-------------------------------------------------------+ | 0b1111 | invalid | +--------+-------------------------------------------------------+ Table 14 van Beurden & Weaver Expires 26 April 2023 [Page 34] Internet-Draft FLAC October 2022 10.1.3. Channels bits The next 4 bits (the first 4 bits of the fourth byte of each frame), referred to as the channels bits, code for both the number of channels of the audio as well as any stereo decorrelation used according to the following table. In case a channel lay-out different than the ones listed in the following table is used, this can be signaled with a WAVEFORMATEXTENSIBLE_CHANNEL_MASK tag in a Vorbis comment metadata block, see the section channel mask (#channel-mask) for details. For details on the way left/side, right/side and mid/side stereo are coded, see the section on interchannel decorrelation (#interchannel- decorrelation). van Beurden & Weaver Expires 26 April 2023 [Page 35] Internet-Draft FLAC October 2022 +==========+====================================================+ | Value | Channels | +==========+====================================================+ | 0b0000 | 1 channel: mono | +----------+----------------------------------------------------+ | 0b0001 | 2 channels: left, right | +----------+----------------------------------------------------+ | 0b0010 | 3 channels: left, right, center | +----------+----------------------------------------------------+ | 0b0011 | 4 channels: front left, front right, back left, | | | back right | +----------+----------------------------------------------------+ | 0b0100 | 5 channels: front left, front right, front center, | | | back/surround left, back/surround right | +----------+----------------------------------------------------+ | 0b0101 | 6 channels: front left, front right, front center, | | | LFE, back/surround left, back/surround right | +----------+----------------------------------------------------+ | 0b0110 | 7 channels: front left, front right, front center, | | | LFE, back center, side left, side right | +----------+----------------------------------------------------+ | 0b0111 | 8 channels: front left, front right, front center, | | | LFE, back left, back right, side left, side right | +----------+----------------------------------------------------+ | 0b1000 | 2 channels, stored as left/side stereo | +----------+----------------------------------------------------+ | 0b1001 | 2 channels, stored as right/side stereo | +----------+----------------------------------------------------+ | 0b1010 | 2 channels, stored as mid/side stereo | +----------+----------------------------------------------------+ | 0b1011 - | reserved | | 0b1111 | | +----------+----------------------------------------------------+ Table 15 10.1.4. Bit depth bits The next 3 bits code for the bit depth of the audio according to the following table. van Beurden & Weaver Expires 26 April 2023 [Page 36] Internet-Draft FLAC October 2022 +=======+====================================================+ | Value | Bit depth | +=======+====================================================+ | 0b000 | bit depth only stored in streaminfo metadata block | +-------+----------------------------------------------------+ | 0b001 | 8 bits per sample | +-------+----------------------------------------------------+ | 0b010 | 12 bits per sample | +-------+----------------------------------------------------+ | 0b011 | reserved | +-------+----------------------------------------------------+ | 0b100 | 16 bits per sample | +-------+----------------------------------------------------+ | 0b101 | 20 bits per sample | +-------+----------------------------------------------------+ | 0b110 | 24 bits per sample | +-------+----------------------------------------------------+ | 0b111 | 32 bits per sample | +-------+----------------------------------------------------+ Table 16 The next bit is reserved and MUST be zero. 10.1.5. Coded number Following the reserved bit (starting at the fifth byte of the frame) is either a sample or a frame number, which will be referred to as the coded number. When dealing with variable block size streams, the sample number of the first sample in the frame is encoded. When the file contains a fixed block size stream, the frame number is encoded. The coded number is stored in a variable length code like UTF-8, but extended to a maximum of 36 bits unencoded, 7 byte encoded. When a frame number is encoded, the value MUST NOT be larger than what fits a value 31 bits unencoded or 6 byte encoded. Please note that most general purpose UTF-8 encoders and decoders will not be able to handle these extended codes. In case the coded number is a frame number, it MUST be equal to the number of frames preceding the current frame. In case the coded number is a sample number, it MUST be equal to the number of samples preceding the current frame. In a stream where these requirements are not met, seeking is not (reliably) possible. van Beurden & Weaver Expires 26 April 2023 [Page 37] Internet-Draft FLAC October 2022 A decoder that relies on the coded number during seeking could be vulnerable to buffer overflows or getting stuck in an infinite loop in case it seeks in a stream where the coded numbers are non- consecutive or otherwise invalid. See also the section on security considerations (#security-considerations). 10.1.6. Uncommon block size If the block size bits defined earlier in this section were 0b0110 or 0b0111 (uncommon block size minus 1 stored), this follows the coded number as either an 8-bit or a 16-bit unsigned number coded big- endian. 10.1.7. Uncommon sample rate Following the uncommon block size (or the coded number if no uncommon block size is stored) is the sample rate, if the sample rate bits were 0b1100, 0b1101 or 0b1110 (uncommon sample rate stored), as either an 8-bit or a 16-bit unsigned number coded big-endian. The sample rate MUST NOT be 0 when the subframe contains audio. A sample rate of 0 MAY be used when non-audio is represented. See section streaminfo (#streaminfo) for details. 10.1.8. Frame header CRC Finally, after either the frame/sample number, an uncommon block size or an uncommon sample rate, depending on whether the latter two are stored, is an 8-bit CRC. This CRC is initialized with 0 and has the polynomial x^8 + x^2 + x^1 + x^0. This CRC covers the whole frame header before the CRC, including the sync code. 10.2. Subframes Following the frame header are a number of subframes equal to the number of audio channels. Note that as subframes contain a bitstream that does not necessarily has to be a whole number of bytes, only the first subframe always starts at a byte boundary. 10.2.1. Subframe header Each subframe starts with a header. The first bit of the header MUST be 0, followed by 6 bits describing which subframe type is used according to the following table, where v is the value of the 6 bits as an unsigned number. van Beurden & Weaver Expires 26 April 2023 [Page 38] Internet-Draft FLAC October 2022 +=====================+===========================================+ | Value | Subframe type | +=====================+===========================================+ | 0b000000 | Constant subframe | +---------------------+-------------------------------------------+ | 0b000001 | Verbatim subframe | +---------------------+-------------------------------------------+ | 0b000010 - 0b000111 | reserved | +---------------------+-------------------------------------------+ | 0b001000 - 0b001100 | Subframe with a fixed predictor of order | | | v-8, i.e. 0, 1, 2, 3 or 4 | +---------------------+-------------------------------------------+ | 0b001101 - 0b011111 | reserved | +---------------------+-------------------------------------------+ | 0b100000 - 0b111111 | Subframe with a linear predictor of order | | | v-31, i.e. 1 through 32 (inclusive) | +---------------------+-------------------------------------------+ Table 17 Following the subframe type bits is a bit that flags whether the subframe has any wasted bits. If it is 0, the subframe doesn't have any wasted bits and the subframe header is complete. If it is 1, the subframe does have wasted bits and the number of wasted bits follows unary coded. 10.2.2. Wasted bits per sample Certain file formats, like AIFF, can store audio samples with a bit depth that is not an integer number of bytes by padding them with least significant zero bits to a bit depth that is an integer number of bytes. For example, shifting a 14-bit sample right by 2 pads it to a 16-bit sample, which then has two zero least-significant bits. In this specification, these least-significant zero bits are referred to as wasted bits-per-sample or simply wasted bits. They are wasted in a sense that they contain no information, but are stored anyway. The wasted bits-per-sample flag in a subframe header is set to 1 if a certain number of least-significant bits of all samples in the current subframe are zero. If this is the case, the number of wasted bits-per-sample (k) minus 1 follows the flag in an unary encoding. For example, if k is 3, 0b001 follows. If k = 0, the wasted bits- per-sample flag is 0 and no unary coded k follows. In case k is not equal to 0, samples are coded ignoring k least- significant bits. For example, if the preceding frame header specified a sample size of 16 bits per sample and k is 3, samples in the subframe are coded as 13 bits per sample. A decoder MUST add k van Beurden & Weaver Expires 26 April 2023 [Page 39] Internet-Draft FLAC October 2022 least-significant zero bits by shifting left (padding) after decoding a subframe sample. In case the frame has left/side, right/side or mid/side stereo, padding MUST happen to a sample before it is used to reconstruct a left or right sample. Besides audio files that have a certain number of wasted bits for the whole file, there exist audio files in which the number of wasted bits varies. There are DVD-Audio discs in which blocks of samples have had their least-significant bits selectively zeroed, as to slightly improve the compression of their otherwise lossless Meridian Lossless Packing codec. There are also audio processors like lossyWAV that enable users to improve compression of their files by a lossless audio codec in a non-lossless way. Because of this the number of wasted bits k MAY change between frames and MAY differ between subframes. 10.2.3. Constant subframe In a constant subframe only a single sample is stored. This sample is stored as an integer number coded big-endian, signed two's complement. The number of bits used to store this sample depends on the bit depth of the current subframe. The bit depth of a subframe is equal to the bit depth as coded in the frame header (#bit-depth- bits), minus the number of wasted bits coded in the subframe header (#wasted-bits-per-sample). In case a subframe is a side subframe (see the section on interchannel decorrelation (#interchannel- decorrelation)), the bit depth of that subframe is increased by 1 bit. 10.2.4. Verbatim subframe A verbatim subframe stores all samples unencoded in sequential order. See section on Constant subframe (#constant-subframe) on how a sample is stored unencoded. The number of samples that need to be stored in a subframe is given by the block size in the frame header. 10.2.5. Fixed predictor subframe Five different fixed predictors are defined in the following table, one for each prediction order 0 through 4. In the table is also a derivation, which explains the rationale for choosing these fixed predictors. van Beurden & Weaver Expires 26 April 2023 [Page 40] Internet-Draft FLAC October 2022 +=======+==================================+======================+ | Order | Prediction | Derivation | +=======+==================================+======================+ | 0 | 0 | N/A | +-------+----------------------------------+----------------------+ | 1 | s(n-1) | N/A | +-------+----------------------------------+----------------------+ | 2 | 2 * s(n-1) - s(n-2) | s(n-1) + s'(n-1) | +-------+----------------------------------+----------------------+ | 3 | 3 * s(n-1) - 3 * s(n-2) + s(n-3) | s(n-1) + s'(n-1) + | | | | s''(n-1) | +-------+----------------------------------+----------------------+ | 4 | 4 * s(n-1) - 6 * s(n-2) + 4 * | s(n-1) + s'(n-1) + | | | s(n-3) - s(n-4) | s''(n-1) + s'''(n-1) | +-------+----------------------------------+----------------------+ Table 18 Where * n is the number of the sample being predicted * s(n) is the sample being predicted * s(n-1) is the sample before the one being predicted * s'(n-1) is the difference between the previous sample and the sample before that, i.e. s(n-1) - s(n-2). This is the closest available first-order discrete derivative * s''(n-1) is s'(n-1) - s'(n-2) or the closest available second- order discrete derivative * s'''(n-1) is s''(n-1) - s''(n-2) or the closest available third- order discrete derivative As a predictor makes use of samples preceding the sample that is predicted, it can only be used when enough such samples are known. As each subframe in FLAC is coded completely independent, the first few samples in each subframe cannot be predicted. Therefore, a number of so-called warm-up samples equal to the predictor order is stored. These are stored unencoded, bypassing the predictor and residual coding stage. See section on Constant subframe (#constant- subframe) on how samples are stored unencoded. The table below defines how a fixed predictor subframe appears in the bitstream van Beurden & Weaver Expires 26 April 2023 [Page 41] Internet-Draft FLAC October 2022 +==========+===========================================+ | Data | Description | +==========+===========================================+ | s(n) | Unencoded warm-up samples (n = subframe's | | | bits-per-sample * predictor order). | +----------+-------------------------------------------+ | Coded | Encoded residual | | residual | | +----------+-------------------------------------------+ Table 19 As the fixed predictors are specified, they do not have to be stored. The fixed predictor order, which is stored in the subframe header, specifies which predictor is used. To encode a signal with a fixed predictor, each sample has the corresponding prediction subtracted and sent to the residual coder. To decode a signal with a fixed predictor, first the residual has to be decoded, after which for each sample the prediction can be added. This means that decoding MUST be a sequential process within a subframe, as for each sample, enough fully decoded previous samples are needed to calculate the prediction. For fixed predictor order 0, the prediction is always 0, thus each residual sample is equal to its corresponding input or decoded sample. The difference between a fixed predictor with order 0 and a verbatim subframe, is that a verbatim subframe stores all samples unencoded, while a fixed predictor with order 0 has all its samples processed by the residual coder. The first order fixed predictor is comparable to how DPCM encoding works, as the resulting residual sample is the difference between the corresponding sample and the sample before it. The higher order fixed predictors can be understood as polynomials fitted to the previous samples. 10.2.6. Linear predictor subframe Whereas fixed predictors are well suited for simple signals, using a (non-fixed) linear predictor on more complex signals can improve compression by making the residual samples even smaller. There is a certain trade-off however, as storing the predictor coefficients takes up space as well. In the FLAC format, a predictor is defined by up to 32 predictor coefficients and a shift. To form a prediction, each coefficient is multiplied with its corresponding past sample, the results are summed van Beurden & Weaver Expires 26 April 2023 [Page 42] Internet-Draft FLAC October 2022 and this sum is then shifted. To encode a signal with a linear predictor, each sample has the corresponding prediction subtracted and sent to the residual coder. To decode a signal with a linear predictor, first the residual has to be decoded, after which for each sample the prediction can be added. This means that decoding MUST be a sequential process within a subframe, as for each sample, enough fully decoded previous samples are needed to calculate the prediction. The table below defines how a linear predictor subframe appears in the bitstream +==========+===============================================+ | Data | Description | +==========+===============================================+ | s(n) | Unencoded warm-up samples (n = subframe's | | | bits-per-sample * lpc order). | +----------+-----------------------------------------------+ | u(4) | (Predictor coefficient precision in bits)-1 | | | (NOTE: 0b1111 is invalid). | +----------+-----------------------------------------------+ | s(5) | Prediction right shift needed in bits. | +----------+-----------------------------------------------+ | s(n) | Unencoded predictor coefficients (n = | | | predictor coefficient precision * lpc order). | +----------+-----------------------------------------------+ | Coded | Encoded residual | | residual | | +----------+-----------------------------------------------+ Table 20 See section on Constant subframe (#constant-subframe) on how the warm-up samples are stored unencoded. The unencoded predictor coefficients are stored the same way as the warm-up samples, but the number of bits needed for each coefficient is defined by the predictor coefficient precision. While the prediction right shift is signed two's complement, this number MUST NOT be negative, see section past changes (#restriction-of-lpc-shift-to-non-negative- values) for an explanation why this is. Please note that the order in which the predictor coefficients appear in the bitstream corresponds to which *past* sample they belong. In other words, the order of the predictor coefficients is opposite to the chronological order of the samples. So, the first predictor coefficient has to be multiplied with the sample directly before the sample that is being predicted, the second predictor coefficient has to be multiplied with the sample before that etc. van Beurden & Weaver Expires 26 April 2023 [Page 43] Internet-Draft FLAC October 2022 10.2.7. Coded residual The first two bits in a coded residual indicate which coding method is used. See the table below +=============+=============================================+ | Value | Description | +=============+=============================================+ | 0b00 | partitioned Rice code with 4-bit parameters | +-------------+---------------------------------------------+ | 0b01 | partitioned Rice code with 5-bit parameters | +-------------+---------------------------------------------+ | 0b10 - 0b11 | reserved | +-------------+---------------------------------------------+ Table 21 Both defined coding methods work the same way, but differ in the number of bits used for Rice parameters. The 4 bits that directly follow the coding method bits form the partition order, which is an unsigned number. The rest of the coded residual consists of 2^(partition order) partitions. For example, if the 4 bits are 0b1000, the partition order is 8 and the residual is split up into 2^8 = 256 partitions. Each partition contains a certain amount of residual samples. The number of residual samples in the first partition is equal to (block size >> partition order) - predictor order, i.e. the block size divided by the number of partitions minus the predictor order. In all other partitions the number of residual samples is equal to (block size >> partition order). The partition order MUST be so that the block size is evenly divisible by the number of partitions. This means for example that for all odd block sizes, only partition order 0 is allowed. The partition order also MUST be so that the (block size >> partition order) is larger than the predictor order. This means for example that with a block size of 4096 and a predictor order of 4, partition order cannot be larger than 9. van Beurden & Weaver Expires 26 April 2023 [Page 44] Internet-Draft FLAC October 2022 Each partition starts with a parameter. In case the coded residual of a subframe is one with 4-bit Rice parameters (see table at the start of this section), the first 4 bits of each partition are either a Rice parameter or an escape code. These 4 bits indicate an escape code if they are 0b1111, otherwise they contain the Rice parameter as an unsigned number. In case the coded residual of the current subframe is one with 5-bit Rice parameters, the first 5 bits of each partition indicate an escape code if they are 0b11111, otherwise they contain the Rice parameter as an unsigned number as well. 10.2.7.1. Escaped partition In case an escape code was used, the partition does not contain a variable-length Rice coded residual, but a fixed-length unencoded residual. Directly following the escape code are 5 bits containing the number of bits with which each residual sample is stored, as an unsigned number. The residual samples themselves are stored signed two's complement. For example, when a partition is escaped and each residual sample is stored with 3 bits, the number -1 is represented as 0b111. Note that it is possible that the number of bits with which each sample is stored is 0, which means all residual samples in that partition have a value of 0 and that no bits are used to store the samples. In that case, the partition contains nothing except the escape code and 0b00000. 10.2.7.2. Rice code In case a Rice parameter was provided for a certain partition, that partition contains a Rice coded residual. The residual samples, which are signed numbers, are represented by unsigned numbers in the Rice code. For positive numbers, the representation is the number doubled, for negative numbers, the representation is the number multiplied by -2 and has 1 subtracted. This representation of signed numbers is also known as zigzag encoding and the zigzag encoded residual is called the folded residual. Each folded residual sample is then split in two parts, a most significant part and a least significant part. The Rice parameter at the start of each partition determines where that split lies: it is the number of bits in the least significant part. Each residual sample is then stored by coding the most significant part unary followed by the least significant part binary. For example, take a partition with Rice parameter 3 containing a folded residual sample with 38 as value, which is 0b100110 in binary. The most significant part is 0b100 (4) and is stored unary as van Beurden & Weaver Expires 26 April 2023 [Page 45] Internet-Draft FLAC October 2022 0b00001, the least significant part is 0b110 (6) and stored as is. The Rice code word is thus 0b00001110. The Rice code words for all residual samples in a partition are stored consecutively. To decode a Rice code word, zero bits must be counted until encountering a one bit, after which a number of bits given by the Rice parameter must be read. The count of zero bits is shifted left by the Rice parameter (i.e. multiplied by 2 raised to the power Rice parameter) and bitwise ORed with (i.e. added to) the read value. This is the folded residual value. An even folded residual value is shifted right 1 bit (i.e. divided by two) to get the (unfolded) residual value. An odd folded residual value is gets shifted right 1 bit and all bits flipped (1 added to and divided by -2) to get the (unfolded) residual value, subject to negative numbers being signed two's complement on the decoding machine. Appendix examples (#examples) shows decoding of a complete coded residual. 10.2.7.3. Residual sample value limit All residual samples values MUST be representable in the range offered by a 32-bit integer, signed one's complement. Equivalently, all residual sample values MUST fall in the range offered by a 32-bit integer signed two's complement excluding the most negative possible value of that range. This means residual sample values MUST NOT have an absolute value equal to or larger then 2 to the power 31. A FLAC encoder MUST make sure of this. In case a FLAC encoder is, for a certain subframe, unable to find a suitable predictor of which all residual samples fall within said range, it MUST default to writing a verbatim subframe. The appendix numerical considerations (#numerical-considerations) explains in which circumstances residual samples are already implicitly representable in said range and thus an additional check is not needed. The reason for this limit is to ensure that decoders can use 32-bit integers when processing residuals, simplifying decoding. The reason the most negative value of a 32-bit int signed two's complement is specifically excluded is to prevent decoders from having to implement specific handling of that value, as it cannot be negated within a 32-bit signed int, and most library routines calculating an absolute value have undefined behavior on processing that value. van Beurden & Weaver Expires 26 April 2023 [Page 46] Internet-Draft FLAC October 2022 10.3. Frame footer Following the last subframe is the frame footer. If the last subframe is not byte aligned (i.e. the bits required to store all subframes put together are not divisible by 8), zero bits are added until byte alignment is reached. Following this is a 16-bit CRC, initialized with 0, with polynomial x^16 + x^15 + x^2 + x^0. This CRC covers the whole frame excluding the 16-bit CRC, including the sync code. 11. Container mappings The FLAC format can be used without any container as the FLAC format already provides for a very thin transport layer. However, the functionality of this transport is rather limited, and to be able to combine FLAC audio with video, it needs to be encapsulated by a more capable container. This presents a problem: the transport layer provided by the FLAC format mixes data that belongs to the encoded data (like block size and sample rate) with data that belongs to the transport (like checksum and timecode). The choice was made to encapsulate FLAC frames as they are, which means some data will be duplicated and potentially deviating between the FLAC frames and the encapsulating container. As FLAC frames are completely independent of each other, container format features handling dependencies do not need to be used. For example, all FLAC frames embedded in Matroska are marked as keyframes when they are stored in a SimpleBlock and tracks in an MP4 file containing only FLAC frames do not need a sync sample box. 11.1. Ogg mapping The Ogg container format is defined in [RFC3533]. The first packet of a logical bitstream carrying FLAC data is structured according to the following table van Beurden & Weaver Expires 26 April 2023 [Page 47] Internet-Draft FLAC October 2022 +=========+=========================================================+ | Data | Description | +=========+=========================================================+ | 5 | Bytes 0x7F 0x46 0x4C 0x41 0x43 (as also defined by | | bytes | [RFC5334]) | +---------+---------------------------------------------------------+ | 2 | Version number of the FLAC-in-Ogg mapping. These bytes | | bytes | are 0x01 0x00, meaning version 1.0 of the mapping. | +---------+---------------------------------------------------------+ | 2 | Number of header packets (excluding the first header | | bytes | packet) as an unsigned number coded big-endian. | +---------+---------------------------------------------------------+ | 4 | The fLaC signature | | bytes | | +---------+---------------------------------------------------------+ | 4 | A metadata block header for the streaminfo block | | bytes | | +---------+---------------------------------------------------------+ | 34 | A streaminfo metadata block | | bytes | | +---------+---------------------------------------------------------+ Table 22 The number of header packets MAY be 0, which means the number of packets that follow is unknown. This first packet MUST NOT share a Ogg page with any other packets. This means the first page of an logical stream of FLAC-in-Ogg is always 79 bytes. Following the first packet are one or more header packets, each of which contains a single metadata block. The first of these packets SHOULD be a vorbis comment metadata block, for historic reasons. This is contrary to unencapsulated FLAC streams, where the order of metadata blocks is not important except for the streaminfo block and where a vorbis comment metadata block is optional. Following the header packets are audio packets. Each audio packet contains a single FLAC frame. The first audio packet MUST start on a new Ogg page, i.e. the last metadata block MUST finish its page before any audio packets are encapsulated. van Beurden & Weaver Expires 26 April 2023 [Page 48] Internet-Draft FLAC October 2022 The granule position of all pages containing header packets MUST be 0, for pages containing audio packets the granule position is the number of the last sample contained by the last completed packet in the frame. The sample numbering considers inter-channel samples. If a page contains no packet end (e.g. when page only contains the start of a large packet, which continues on the next page) then the granule position is set to the maximum value possible i.e. 0xFF 0xFF 0xFF 0xFF 0xFF 0xFF 0xFF 0xFF. The granule position of the first audio data page with a completed packet MAY be larger than the number of samples contained in packets that complete on that page. In other words, the apparent sample number of the first sample in the stream following from the granule position and the audio data MAY be larger than 0. This allows for example a server to cast a live stream to several clients which joined at different moments, without rewriting the granule position for each client. In case an audio stream is encoded where audio properties (sample rate, number of channels or bit depth) change at some point in the stream, this should be dealt with by finishing encoding of the current Ogg stream and starting a new Ogg stream, concatenated to the previous one. This is called chaining in Ogg. See the Ogg specification for details. 11.2. Matroska mapping The Matroska container format is defined in [I-D.ietf-cellar-matroska]. The codec ID (EBML path \Segment\Tracks\TrackEntry\CodecID) assigned to signal tracks carrying FLAC data is A_FLAC in ASCII. All FLAC data before the first audio frame (i.e. the fLaC ASCII signature and all metadata blocks) is stored as CodecPrivate data (EBML path \Segment\Tracks\TrackEntry\CodecPrivate). Each FLAC frame (including all of its subframes) is treated as a single frame in the Matroska context. In case an audio stream is encoded where audio properties (sample rate, number of channels or bit depth) change at some point in the stream, this should be dealt with a by finishing the current Matroska segment and starting a new one with the new properties. van Beurden & Weaver Expires 26 April 2023 [Page 49] Internet-Draft FLAC October 2022 11.3. ISO Base Media File Format (MP4) mapping The full encapsulation definition of FLAC audio in MP4 files was deemed too extensive to include in this document. A definition document can be found at https://github.com/xiph/flac/blob/master/doc/isoflac.txt (https://github.com/xiph/flac/blob/master/doc/isoflac.txt) This document is summarized here. The sample entry code is 'fLaC'. The channelcount and samplesize fields in the sample entry follow from the values as found in the FLAC stream. The samplerate field can be different, because FLAC can carry audio with much higher sample rates than can be coded for in the sample entry. When possible, the samplerate field should contain the sample rate as found in the FLAC stream, shifted left by 16 bits to get the 16.16 fixed point representation of the samplerate field. When the FLAC stream contains a sample rate higher than can be coded, the samplerate field contains the greatest expressible regular division of the sample rate, e.g. 48000 for sample rates of 96kHz and 192kHz or 44100 for a sample rate of 88200Hz. When the FLAC stream contain audio with an unusual sample rate that has no regular division, the maximum value of 65535.0 Hz is used. As FLAC streams with a high sample rate are common, a parser or decoder MUST read the value from the FLAC streaminfo metadata block or a frame header to determine the actual sample rate. The sample entry contains one 'FLAC specific box' with code 'dfLa'. The FLAC specific box extends FullBox, with version number 0 and all flags set to 0, and contains all FLAC data before the first audio frame but fLaC ASCII signature (i.e. all metadata blocks). In case an audio stream is encoded where audio properties (sample rate, number of channels or bit depth) change at some point in the stream, this MUST be dealt in a MP4 generic manner e.g. with several stsd atoms and different sample-description-index values in the stsc atom. Each FLAC frame is a single sample in the context of MP4 files. 12. Implementation status This section records the status of known implementations of the FLAC format, and is based on a proposal described in [RFC7942]. Please note that the listing of any individual implementation here does not imply endorsement by the IETF. Furthermore, no effort has been spent to verify the information presented here that was supplied by IETF contributors. This is not intended as, and must not be construed to be, a catalog of available implementations or their features. van Beurden & Weaver Expires 26 April 2023 [Page 50] Internet-Draft FLAC October 2022 Readers are advised to note that other implementations may exist. A reference encoder and decoder implementation of the FLAC format exists, known as libFLAC, maintained by Xiph.Org. It can be found at https://xiph.org/flac/ (https://xiph.org/flac/) Note that while all libFLAC components are licensed under 3-clause BSD, the flac and metaflac command line tools often supplied together with libFLAC are licensed under GPL. Another completely independent implementation of both encoder and decoder of the FLAC format is available in libavcodec, maintained by FFmpeg, licensed under LGPL 2.1 or later. It can be found at https://ffmpeg.org/ (https://ffmpeg.org/) A list of other implementations and an overview of which parts of the format they implement can be found here: https://github.com/ietf-wg- cellar/flac-specification/wiki/Implementations (https://github.com/ ietf-wg-cellar/flac-specification/wiki/Implementations) 13. Security Considerations Like any other codec (such as [RFC6716]), FLAC 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. Implementations of the FLAC codec need to take appropriate security considerations into account. Those 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. The same applies to the encoder, even though problems in encoders are typically rarer. Malicious audio streams MUST NOT cause the encoder to misbehave because this would allow an attacker to attack transcoding gateways. As with all compression algorithms, both encoding and decoding can produce an output much larger than the input. In case of decoding, the most extreme possible case of this is a frame with eight constant subframes of block size 65535 and coding for 32-bit PCM. This frame is only 49 byte in size, but codes for more than 2 megabyte of uncompressed PCM data. For encoding, it is possible to have an even larger size increase, although such behavior is generally considered faulty. This happens if the encoder chooses a rice parameter that does not fit with the residual that has to be encoded. In such a case, very long unary coded symbols can appear, in the most extreme van Beurden & Weaver Expires 26 April 2023 [Page 51] Internet-Draft FLAC October 2022 case more than 4 gigabyte per sample. It is RECOMMENDED decoder and encoder implementations take precautions to prevent excessive resource utilization in such cases. When metadata is handled, it is RECOMMENDED to either thoroughly test handling of extreme cases or impose reasonable limits beyond the limits of this specification document. For example, a single Vorbis comment metadata block can contain millions of valid fields. It is unlikely such a limit is ever reached except in a potentially malicious file. Likewise the media type and description of a picture metadata block can be millions of characters long, despite there being no reasonable use of such contents. One possible use case for very long character strings is in lyrics, which can be stored in Vorbis comment metadata block fields. Various kinds of metadata blocks contain length fields or fields counts. While reading a block following these lengths or counts, a decoder MUST make sure higher-level lengths or counts (most importantly the length field of the metadata block itself) are not exceeded. As some of these length fields code string lengths, memory for which must be allocated, it is RECOMMENDED to first verify that a block is valid before allocating memory based on its contents. Metadata blocks can also contain references, e.g. the picture metadata block can contain a URI. Applications MUST obtain explicit user approval to retrieve resources via remote protocols and to retrieve local resources not located in the same directory as the FLAC file being processed. Seeking in a FLAC stream that is not in a container relies on the coded number in frame headers and optionally a seektable metadata block. It is RECOMMENDED to employ thorough sanity checks on whether a found coded number or seekpoint is at all possible. Without these checks, seeking might get stuck in an infinite loop when numbers in frames are non-consecutive or otherwise invalid, which could be used in denial of service attacks. It is RECOMMENDED to employ fuzz testing combined with different sanitizers on FLAC decoders to find security problems. To improve efficiency of this process, a decoder SHOULD, on decoding, ignore the results of CRC checks during fuzz testing. See the FLAC decoder testbench (https://wiki.hydrogenaud.io/ index.php?title=FLAC_decoder_testbench) for a non-exhaustive list of FLAC files with extreme configurations which lead to crashes or reboots on some known implementations. None of the content carried in FLAC is intended to be executable. van Beurden & Weaver Expires 26 April 2023 [Page 52] Internet-Draft FLAC October 2022 14. IANA Considerations 14.1. Media type registration The following information serves as the registration form for the "audio/flac" media type. This media type is applicable for FLAC audio packaged in its native container. FLAC audio packaged in another container will take on the media type of its container, for example audio/ogg when packaged in an Ogg container or video/mp4 when packaged in a MP4 container alongside a video track. Type name: audio Subtype name: flac Required parameters: none Optional parameters: none Encoding considerations: as per this document Security considerations: see section 12 Interoperability considerations: no known concerns Published specification: THISRFC Applications that use this media type: ffmpeg, apache, firefox Fragment identifier considerations: none Additional information: Deprecated alias names for this type: audio/x-flac Magic number(s): fLaC File extension(s): flac Macintosh file type code(s): none Person & email address to contact for further information: IETF CELLAR WG Intended usage: COMMON Restrictions on usage: N/A Author: IETF CELLAR WG Change controller: IESG Provisional registration? (standards tree only): NO 15. Normative References [I-D.ietf-cellar-matroska] Lhomme, S., Bunkus, M., and D. Rice, "Matroska Media Container Format Specifications", Work in Progress, Internet-Draft, draft-ietf-cellar-matroska-14, 1 October 2022, . [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, March 1997, . van Beurden & Weaver Expires 26 April 2023 [Page 53] Internet-Draft FLAC October 2022 [RFC4732] Handley, M., Ed., Rescorla, E., Ed., and IAB, "Internet Denial-of-Service Considerations", RFC 4732, DOI 10.17487/RFC4732, December 2006, . [RFC8174] Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, May 2017, . 16. Informative References [HPL-1999-144] Hans, M. and RW. Schafer, "Lossless Compression of Digital Audio", DOI 10.1109/79.939834, November 1999, . [IEC.60908.1999] International Electrotechnical Commission, "Audio recording - Compact disc digital audio system", IEC International standard 60908 second edition, 1999. [ISRC-handbook] "International Standard Recording Code (ISRC) Handbook, 4th edition", 2021, . [RFC3533] Pfeiffer, S., "The Ogg Encapsulation Format Version 0", RFC 3533, DOI 10.17487/RFC3533, May 2003, . [RFC5334] Goncalves, I., Pfeiffer, S., and C. Montgomery, "Ogg Media Types", RFC 5334, DOI 10.17487/RFC5334, September 2008, . [RFC6716] Valin, JM., Vos, K., and T. Terriberry, "Definition of the Opus Audio Codec", RFC 6716, DOI 10.17487/RFC6716, September 2012, . [RFC7942] Sheffer, Y. and A. Farrel, "Improving Awareness of Running Code: The Implementation Status Section", BCP 205, RFC 7942, DOI 10.17487/RFC7942, July 2016, . [robinson-tr156] Robinson, T., "SHORTEN: Simple lossless and near-lossless waveform compression", December 1994, . van Beurden & Weaver Expires 26 April 2023 [Page 54] Internet-Draft FLAC October 2022 Appendix A. Numerical considerations In order to maintain lossless behavior, all arithmetic used in encoding and decoding sample values MUST be done with integer data types to eliminate the possibility of introducing rounding errors associated with floating-point arithmetic. Use of floating-point representations in analysis (e.g. finding a good predictor or Rice parameter) is not a concern, as long as the process of using the found predictor and Rice parameter to encode audio samples is implemented with only integer math. Furthermore, the possibility of integer overflow MUST be eliminated by using data types large enough to never overflow. Choosing a 64-bit signed data type for all arithmetic involving sample values would make sure the possibility for overflow is eliminated, but usually smaller data types are chosen for increased performance, especially in embedded devices. This section will provide guidelines for choosing the right data type in each step of encoding and decoding FLAC files. A.1. Determining necessary data type size To find the smallest data type size that is guaranteed not to overflow for a certain sequence of arithmetic operations, the combination of values producing the largest possible result should be considered. If for example two 16-bit signed integers are added, the largest possible result forms if both values are the largest number that can be represented with a 16-bit signed integer. To store the result, an signed integer data type with at least 17 bits is needed. Similarly, when adding 4 of these values, 18 bits are needed, when adding 8, 19 bits are needed etc. In general, the number of bits necessary when adding numbers together is increased by the log base 2 of the number of values rounded up to the nearest integer. So, when adding 18 unknown values stored in 8 bit signed integers, we need a signed integer data type of at least 13 bits to store the result, as the log base 2 of 18 rounded up is 5. In case of multiplication, the number of bits needed for the result is the size of the first variable plus the size of the second variable, but counting only one sign bit if working with signed data types. If for example a 16-bit signed integer is multiplied by a 16-bit signed integer, the result needs at least 31 bits to store without overflowing. van Beurden & Weaver Expires 26 April 2023 [Page 55] Internet-Draft FLAC October 2022 A.2. Stereo decorrelation When stereo decorrelation is used, the side channel will have one extra bit of bit depth, see section on Interchannel Decorrelation (#interchannel-decorrelation). This means that while 16-bit signed integers have sufficient range to store samples from a fully decoded FLAC frame with a bit depth of 16 bit, the decoding of a side subframe in such a file will need a data type with at least 17 bit to store decoded subframe samples before undoing stereo decorrelation. Most FLAC decoders store decoded (subframe) samples as 32-bit values, which is sufficient for files with bit depths up to (and including) 31 bit. A.3. Prediction A prediction (which is used to calculate the residual on encoding or added to the residual to calculate the sample value on decoding) is formed by multiplying and summing preceding sample values. In order to eliminate the possibility of integer overflow, the combination of preceding sample values and predictor coefficients producing the largest possible value should be considered. To determine the size of the data type needed to calculate either a residual sample (on encoding) or an audio sample value (on decoding) in a fixed predictor subframe, the maximal possible value for these is calculated as described in the previous subsection (#determining- necessary-data-type-size) in the following table. For example: if a frame codes for 16-bit audio and has some form of stereo decorrelation, the subframe coding for the side channel would need 16+1+3 bits in case a third order fixed predictor is used. van Beurden & Weaver Expires 26 April 2023 [Page 56] Internet-Draft FLAC October 2022 +=======+==============================+===============+=======+ | Order | Calculation of residual | Sample values | Extra | | | | summed | bits | +=======+==============================+===============+=======+ | 0 | s(n) | 1 | 0 | +-------+------------------------------+---------------+-------+ | 1 | s(n) - s(n-1) | 2 | 1 | +-------+------------------------------+---------------+-------+ | 2 | s(n) - 2 * s(n-1) + s(n-2) | 4 | 2 | +-------+------------------------------+---------------+-------+ | 3 | s(n) - 3 * s(n-1) + 3 * | 8 | 3 | | | s(n-2) - s(n-3) | | | +-------+------------------------------+---------------+-------+ | 4 | s(n) - 4 * s(n-1) + 6 * | 16 | 4 | | | s(n-2) - 4 * s(n-3) + s(n-4) | | | +-------+------------------------------+---------------+-------+ Table 23 Where * n is the number of the sample being predicted * s(n) is the sample being predicted * s(n-1) is the sample before the one being predicted, s(n-2) is the sample before that etc. For subframes with a linear predictor, calculation is a little more complicated. Each prediction is a sum of several multiplications. Each of these multiply a sample value with a predictor coefficient. The extra bits needed can be calculated by adding the predictor coefficient precision (in bits) to the bit depth of the audio samples. As both are signed numbers and only one 'sign bit' is necessary, 1 bit can be subtracted. To account for the summing of these multiplications, the log base 2 of the predictor order rounded up is added. For example, if the sample bit depth of the source is 24, the current subframe encodes a side channel (see the section on interchannel decorrelation (#interchannel-decorrelation)), the predictor order is 12 and the predictor coefficient precision is 15 bits, the minimum required size of the used signed integer data type is at least (24 + 1) + (15 - 1) + ceil(log2(12)) = 43 bits. As another example, with a side-channel subframe bit depth of 16, a predictor order of 8 and a predictor coefficient precision of 12 bits, the minimum required size of the used signed integer data type is (16 + 1) + (12 - 1) + ceil(log2(8)) = 31 bits. van Beurden & Weaver Expires 26 April 2023 [Page 57] Internet-Draft FLAC October 2022 A.4. Residual As stated in the section coded residual (#coded-residual), an encoder must make sure residual samples are representable by a 32-bit integer, signed two's complement, excluding the most negative value. Continuing as in the previous section, it is possible to calculate when residual samples already implicitly fit and when an additional check is needed. This implicit fit is achieved when residuals would fit a theoretical 31-bit signed int, as that satisfies both mentioned criteria. For the residual of a fixed predictor, the maximum size of a residual was already calculated in the previous section. However, for a linear predictor, the prediction is shifted right by a certain amount. The number of bits needed for the residual is the number of bits calculated in the previous section, reduced by the prediction right shift, increased by one bit to account for the subtraction of the prediction from the current sample on encoding. Taking the last example of the previous section, where 31 bits were needed for the prediction, the required data type size for the residual samples in case of a right shift of 10 bits would be 31 - 10 + 1 = 22 bits, which means it is not necessary to check whether the residuals fit a 32-bit signed integer. As another example, when encoding 32-bit PCM with fixed predictors, all predictor orders must be checked. While the 0-order fixed predictor is guaranteed to have residuals that fit a 32-bit signed int, it might produce a residual being the most negative representable value of that 32-bit signed int. A.5. Rice coding When folding (i.e. zig-zag encoding) the residual sample values, no extra bits are needed when the absolute value of each residual sample is first stored in an unsigned data type of the size of the last step, then doubled and then has one subtracted depending on whether the residual sample was positive or negative. Many implementations however choose to require one extra bit of data type size so zig-zag encoding can happen in one step and without a cast instead of the procedure described in the previous sentence. Appendix B. Past format changes This informational appendix documents what changes were made to the FLAC format over the years. This information might be of use when encountering FLAC files that were made with software following the format as it was before the changes documented in this appendix. van Beurden & Weaver Expires 26 April 2023 [Page 58] Internet-Draft FLAC October 2022 The FLAC format was first specified in December 2000 and the bitstream format was considered frozen with the release of FLAC (the reference encoder/decoder) 1.0 in July 2001. Only changes made since this first stable release are considered in this appendix. Changes made to the FLAC subset definition are not considered. B.1. Addition of block size strategy flag Perhaps the largest backwards incompatible change to the specification was published in July 2007. Before this change, variable block size streams were not explicitly marked as such by a flag bit in the frame header. A decoder had two ways to detect a variable block size stream, either by comparing the minimum and maximum block size in the STREAMINFO metadata block (which are equal in case of a fixed block size stream), or, in case a decoder did not receive a STREAMINFO metadata block, by detecting a change of block size during a stream, which could in theory not happen at all. As the meaning of the coded number in the frame header depends on whether or not a stream is variable block size, this presented a problem: the meaning of the coded number could not be reliably determined. To fix this problem, one of the reserved bits was changed to be used as a block size strategy flag. See also the section frame header (#frame-header). Along with the addition of a new flag, the meaning of the block size bits (#block-size-bits) was subtly changed. Initially, block size bits 0b0001-0b0101 and 0b1000-0b1111 could only be used for fixed block size streams, while 0b0110 and 0b0111 could be used for both fixed block size and variable block size streams. With the change these restrictions were lifted and 0b0001-0b1111 are now used for both variable block size and fixed block size streams. B.2. Restriction of encoded residual samples Another change to the specification was deemed necessary during standardization by the CELLAR working group of the IETF. As specified in section coded residual (#coded-residual) a limit is imposed on residual samples. This limit was not specified prior to the IETF standardization effort. However, as far as was known to the working group, no FLAC encoder at that time produced FLAC files containing residual samples exceeding this limit. This is mostly because it is very unlikely to encounter residual samples exceeding this limit when encoding 24-bit PCM, and encoding of PCM with higher bit depths was not yet implemented in any known encoder. In fact, these FLAC encoders would produce corrupt files upon being triggered to produce such residual samples and it is unlikely any non- experimental encoder would ever do so, even when presented with crafted material. Therefore, it was not expected existing van Beurden & Weaver Expires 26 April 2023 [Page 59] Internet-Draft FLAC October 2022 implementation would be rendered non-compliant by this change. B.3. Addition of 5-bit Rice parameter One significant addition to the format was the residual coding method using a 5-bit Rice parameter. Prior to publication of this addition in July 2007, there was only one residual coding method specified, a partitioned Rice code with a 4-bit Rice parameter. The range offered by this proved too small when encoding 24-bit PCM, therefore a second residual coding method was specified identical to the first but with a 5-bit Rice parameter. B.4. Restriction of LPC shift to non-negative values As stated in section linear predictor subframe (#linear-predictor- subframe), the predictor right shift is a number signed two's complement, which MUST NOT be negative. This is because right shifting a number by a negative amount is undefined behavior in the C programming language standard. The intended behavior was that a positive number would be a right shift and a negative number a left shift. The FLAC reference encoder was changed in 2007 to not generate LPC subframes with a negative predictor right shift, as it turned out that the use of such subframes would only very rarely provide any benefit and the decoders that were already widely in use at that point were not able to handle such subframes. Appendix C. Interoperability considerations As documented in appendix past format changes (#past-format-changes), there have been some changes and additions to the FLAC format. Additionally, implementation of certain features of the FLAC format took many years, meaning early decoder implementations could not be tested against files with these features. Finally, many lower- quality FLAC decoders only implement a subset of FLAC features required for playback of the most common FLAC files. This appendix provides some considerations for encoder implementations aiming to create highly compatible files. As this topic is one that might change after this document is finished, consult this web page (https://github.com/ietf-wg-cellar/flac- specification/wiki/Interoperability-considerations) for more up-to- date information. van Beurden & Weaver Expires 26 April 2023 [Page 60] Internet-Draft FLAC October 2022 C.1. Non-subset streams As described in section format subset (#format-subset), FLAC specifies a subset of its capabilities as the Subset format. Certain decoders may choose to only decode FLAC files conforming to the limitations imposed by the Subset. Therefore, when maximum compatibility with decoders is desired it is RECOMMENDED to stay within the limitations of the FLAC Subset format. C.2. Variable block size Because it is often difficult to find the optimal arrangement of block sizes for maximum compression, most encoders choose to create files with a fixed block size. Because of this many decoder implementations suffer from bugs when handling variable block size streams or do not decode them at all. Furthermore, as is explained in section addition of block size strategy flag (#addition-of-block- size-strategy-flag), there have been some changes to the way variable block size streams were encoded. Because of this, when maximum compatibility with decoders is desired it is RECOMMENDED to only use fixed block size streams. C.3. 5-bit Rice parameter As the addition of the 5-bit Rice parameter as described in section addition of 5-bit Rice parameter (#addition-of-5-bit-rice-parameter) was quite a few years after the FLAC format was first introduced, some early decoders might not be able to decode files containing such Rice parameters. The introduction of this was specifically aimed at improving compression of 24-bit PCM audio and compression of 16-bit PCM audio only rarely benefits from using a 5-bit Rice parameters. Therefore, when maximum compatibility with decoders is desired it is RECOMMENDED to not use 5-bit Rice parameters when encoding audio with a bit depth of 16 bits or lower. C.4. Rice escape code Escapes Rice partitions are only seldom used as it turned out their use provides only very small compression improvement. As many encoders therefore do not use these by default or are not capable of producing them at all, it is likely many decoder implementation are not able to decode them correctly. Therefore, when maximum compatibility with decoders is desired it is RECOMMENDED to not use escaped Rice partitions. van Beurden & Weaver Expires 26 April 2023 [Page 61] Internet-Draft FLAC October 2022 C.5. Uncommon block size For unknown reasons some decoders have chosen to support only common block sizes except for the last block. Therefore, when maximum compatibility with decoders is desired it is RECOMMENDED to only use common block sizes as listed in section block size bits (#block-size- bits) for all but the last block. C.6. Uncommon bit depth Most audio is stored in bit depths that are a whole number of bytes, e.g. 8, 16 or 24 bit. There is however audio with different bit depths. A few examples: * DVD-Audio has the possibility to store 20 bit PCM audio * DAT and DV can store 12 bit PCM audio * NICAM-728 samples at 14 bit, which is companded to 10 bit * 8-bit µ (U+00B5)-law can be losslessly converted to 14 bit (Linear) PCM * 8-bit A-law can be losslessly converted to 13 bit (Linear) PCM FLAC can store these bit depths directly, but because they are uncommon, some decoders are not able to process the resulting files correctly. It is possible to store these formats in a FLAC file with a more common bit depth without sacrificing compression by padding each sample with zero bits to a bit depth that is a whole byte. FLAC will detect these wasted bits. This transformation leaves no ambiguity in how it can be reversed and is thus lossless. See section wasted bits per sample (#wasted-bits-per-sample) for details. Therefore, when maximum compatibility with decoders is required, it is RECOMMENDED to pad samples of such audio with zero bits to the bit depth that is the next whole number of bytes. Besides audio with a 'non-whole byte' bit depth, some decoder implementations have chosen to only accept FLAC files coding for PCM audio with a bit depth of 16 bit. Many implementations support bit depths up to 24 bit but no higher. Consult this web page (https://github.com/ietf-wg-cellar/flac-specification/wiki/ Interoperability-considerations) for more up-to-date information. van Beurden & Weaver Expires 26 April 2023 [Page 62] Internet-Draft FLAC October 2022 C.7. Multi-channel audio and uncommon sample rates Many FLAC audio players are unable to render multi-channel audio or audio with an uncommon sample rate. While this is not a concern specific to the FLAC format, it is of note when requiring maximum compatibility with decoders. Unlike the previously mentioned interoperability considerations, this is one that cannot be satisfied without sacrificing the lossless nature of the FLAC format. From a non-exhaustive inquiry, it seems that a non-negligible amount of players, among those especially hardware players, does not support audio with 3 or more channels or sample rates other than those considered common, see section sample rate bits (#sample-rate-bits). Appendix D. Examples This informational appendix contains short example FLAC files which are decoded step by step. These examples provide a more engaging way to understand the FLAC format than the formal specification. The text explaining these examples assumes the reader has at least cursory read the specification and that the reader refers to the specification for explanation of the terminology used. These examples mostly focus on the lay-out of several metadata blocks and subframe types and the implications of certain aspects (for example wasted bits and stereo decorrelation) on this lay-out. The examples feature files generated by various FLAC encoders. These are presented in hexadecimal or binary format, followed by tables and text referring to various features by their starting bit positions in these representations. Each starting position (shortened to 'start' in the tables) is a hexadecimal byte position and a start bit within that byte, separated by a plus sign. Counts for these start at zero. For example, a feature starting at the 3rd bit of the 17th byte is referred to as starting at 0x10+2. The files that are explored in these examples can be found at https://github.com/ietf-wg-cellar/ flac-specification (https://github.com/ietf-wg-cellar/flac- specification). All data in this appendix has been thoroughly verified. However, as this appendix is informational, in case any information here conflicts with statements in the formal specification, the latter takes precedence. D.1. Decoding example 1 This very short example FLAC file codes for PCM audio that has two channels, each containing 1 sample. The focus of this example is on the essential parts of a FLAC file. van Beurden & Weaver Expires 26 April 2023 [Page 63] Internet-Draft FLAC October 2022 D.1.1. Example file 1 in hexadecimal representation 00000000: 664c 6143 8000 0022 1000 1000 fLaC...".... 0000000c: 0000 0f00 000f 0ac4 42f0 0000 ........B... 00000018: 0001 3e84 b418 07dc 6903 0758 ..>.....i..X 00000024: 6a3d ad1a 2e0f fff8 6918 0000 j=......i... 00000030: bf03 58fd 0312 8baa 9a ..X...... D.1.2. Example file 1 in binary representation 00000000: 01100110 01001100 01100001 01000011 fLaC 00000004: 10000000 00000000 00000000 00100010 ..." 00000008: 00010000 00000000 00010000 00000000 .... 0000000c: 00000000 00000000 00001111 00000000 .... 00000010: 00000000 00001111 00001010 11000100 .... 00000014: 01000010 11110000 00000000 00000000 B... 00000018: 00000000 00000001 00111110 10000100 ..>. 0000001c: 10110100 00011000 00000111 11011100 .... 00000020: 01101001 00000011 00000111 01011000 i..X 00000024: 01101010 00111101 10101101 00011010 j=.. 00000028: 00101110 00001111 11111111 11111000 .... 0000002c: 01101001 00011000 00000000 00000000 i... 00000030: 10111111 00000011 01011000 11111101 ..X. 00000034: 00000011 00010010 10001011 10101010 .... 00000038: 10011010 D.1.3. Signature and streaminfo The first 4 bytes of the file contain the fLaC file signature. Directly following it is a metadata block. The signature and the first metadata block header are broken down in the following table +========+========+============+===========================+ | Start | Length | Contents | Description | +========+========+============+===========================+ | 0x00+0 | 4 byte | 0x664C6143 | fLaC | +--------+--------+------------+---------------------------+ | 0x04+0 | 1 bit | 0b1 | Last metadata block | +--------+--------+------------+---------------------------+ | 0x04+1 | 7 bit | 0b0000000 | Streaminfo metadata block | +--------+--------+------------+---------------------------+ | 0x05+0 | 3 byte | 0x000022 | Length 34 byte | +--------+--------+------------+---------------------------+ Table 24 van Beurden & Weaver Expires 26 April 2023 [Page 64] Internet-Draft FLAC October 2022 As the header indicates that this is the last metadata block, the position of the first audio frame can now be calculated as the position of the first byte after the metadata block header + the length of the block, i.e. 8+34 = 42 or 0x2a. As can be seen 0x2a indeed contains the frame sync code for fixed block size streams, 0xfff8. The streaminfo metadata block contents are broken down in the following table +========+=========+====================+=========================+ | Start | Length | Contents | Description | +========+=========+====================+=========================+ | 0x08+0 | 2 byte | 0x1000 | Min. block size 4096 | +--------+---------+--------------------+-------------------------+ | 0x0a+0 | 2 byte | 0x1000 | Max. block size 4096 | +--------+---------+--------------------+-------------------------+ | 0x0c+0 | 3 byte | 0x00000f | Min. frame size 15 byte | +--------+---------+--------------------+-------------------------+ | 0x0f+0 | 3 byte | 0x00000f | Max. frame size 15 byte | +--------+---------+--------------------+-------------------------+ | 0x12+0 | 20 bit | 0x0ac4, 0b0100 | Sample rate 44100 hertz | +--------+---------+--------------------+-------------------------+ | 0x14+4 | 3 bit | 0b001 | 2 channels | +--------+---------+--------------------+-------------------------+ | 0x14+7 | 5 bit | 0b01111 | Sample bit depth 16 | +--------+---------+--------------------+-------------------------+ | 0x15+4 | 36 bit | 0b0000, 0x00000001 | Total no. of samples 1 | +--------+---------+--------------------+-------------------------+ | 0x1a | 16 byte | (...) | MD5 signature | +--------+---------+--------------------+-------------------------+ Table 25 The minimum and maximum block size are both 4096. This was apparently the block size the encoder planned to use, but as only 1 interchannel sample was provided, no frames with 4096 samples are actually present in this file. Note that anywhere a number of samples is mentioned (block size, total number of samples, sample rate), interchannel samples are meant. The MD5 sum (starting at 0x1a) is 0x3e84 b418 07dc 6903 0758 6a3d ad1a 2e0f. This will be validated after decoding the samples. van Beurden & Weaver Expires 26 April 2023 [Page 65] Internet-Draft FLAC October 2022 D.1.4. Audio frames The frame header starts at position 0x2a and is broken down in the following table. +========+========+=================+===============================+ | Start | Length | Contents | Description | +========+========+=================+===============================+ | 0x2a+0 | 15 bit | 0xff, 0b1111100 | frame sync | +--------+--------+-----------------+-------------------------------+ | 0x2b+7 | 1 bit | 0b0 | block size strategy | +--------+--------+-----------------+-------------------------------+ | 0x2c+0 | 4 bit | 0b0110 | 8-bit block size | | | | | further down | +--------+--------+-----------------+-------------------------------+ | 0x2c+4 | 4 bit | 0b1001 | sample rate 44.1kHz | +--------+--------+-----------------+-------------------------------+ | 0x2d+0 | 4 bit | 0b0001 | stereo, no | | | | | decorrelation | +--------+--------+-----------------+-------------------------------+ | 0x2d+4 | 3 bit | 0b100 | bit depth 16 bit | +--------+--------+-----------------+-------------------------------+ | 0x2d+7 | 1 bit | 0b0 | mandatory 0 bit | +--------+--------+-----------------+-------------------------------+ | 0x2e+0 | 1 byte | 0x00 | frame number 0 | +--------+--------+-----------------+-------------------------------+ | 0x2f+0 | 1 byte | 0x00 | block size 1 | +--------+--------+-----------------+-------------------------------+ | 0x30+0 | 1 byte | 0xbf | frame header CRC | +--------+--------+-----------------+-------------------------------+ Table 26 As the stream is a fixed block size stream, the number at 0x2e contains a frame number. As the value is smaller than 128, only 1 byte is used for the encoding. At byte 0x31 the subframe header of the first subframe starts, it is broken down in the following table. van Beurden & Weaver Expires 26 April 2023 [Page 66] Internet-Draft FLAC October 2022 +========+========+================+=========================+ | Start | Length | Contents | Description | +========+========+================+=========================+ | 0x31+0 | 1 bit | 0b0 | mandatory 0 bit | +--------+--------+----------------+-------------------------+ | 0x31+1 | 6 bit | 0b000001 | verbatim subframe | +--------+--------+----------------+-------------------------+ | 0x31+7 | 1 bit | 0b1 | wasted bits present | +--------+--------+----------------+-------------------------+ | 0x32+0 | 2 bit | 0b01 | 2 wasted bits | +--------+--------+----------------+-------------------------+ | 0x32+2 | 14 bit | 0b011000, 0xfd | 14-bit unencoded sample | +--------+--------+----------------+-------------------------+ Table 27 As the wasted bits flag is 1 in this subframe, an unary coded number follows. Starting at 0x32, we see 0b01, which unary codes for 1, meaning we have 2 wasted bits in this subframe. As this is a verbatim subframe, the subframe only contains unencoded sample values. With a block size of 1, it contains only a single sample. The bit depth of the audio is 16 bit, but as the subframe header signals 2 wasted bits, only 14 bits are stored. As no stereo decorrelation is used, a bit depth increase for the side channel is not applicable. So, the next 14 bit (starting at position 0x32+2) contain the unencoded sample coded big-endian, signed two's complement. The value reads 0b011000 11111101, or 6397. This value needs to be shifted left by 2 bits, to account for the wasted bits. The value is then 0b011000 11111101 00, or 25588. The second subframe starts at 0x34, it is broken down in the following table. van Beurden & Weaver Expires 26 April 2023 [Page 67] Internet-Draft FLAC October 2022 +========+========+==============+=========================+ | Start | Length | Contents | Description | +========+========+==============+=========================+ | 0x34+0 | 1 bit | 0b0 | mandatory 0 bit | +--------+--------+--------------+-------------------------+ | 0x34+1 | 6 bit | 0b000001 | verbatim subframe | +--------+--------+--------------+-------------------------+ | 0x34+7 | 1 bit | 0b1 | wasted bits present | +--------+--------+--------------+-------------------------+ | 0x35+0 | 4 bit | 0b0001 | 4 wasted bits | +--------+--------+--------------+-------------------------+ | 0x35+4 | 12 bit | 0b0010, 0x8b | 12-bit unencoded sample | +--------+--------+--------------+-------------------------+ Table 28 Here the wasted bits flag is also one, but the unary coded number that follows it is 4 bit long, indicating 4 wasted bits. This means the sample is stored in 12 bits. The sample value is 0b0010 10001011, or 651. This value now has to be shifted left by 4 bits, i.e. 0b0010 10001011 0000 or 10416. At this point, we would do stereo decorrelation if that was applicable. As the last subframe ends byte-aligned, no padding bits follow it. The next 2 bytes, starting at 0x38, contain the frame CRC. As this is the only frame in the file, the file ends with the CRC. To validate the MD5, we line up the samples interleaved, byte- aligned, little endian, signed two's complement. The first sample, the value of which was 25588 translates to 0xf463, the second sample had a value of 10416 which translates to 0xb028. When MD5 summing 0xf463b028, we get the MD5 sum found in the header, so decoding was lossless. D.2. Decoding example 2 This FLAC file is larger than the first example, but still contains very little audio. The focus of this example is on decoding a subframe with a fixed predictor and a coded residual, but it also contains a very short seektable, Vorbis comment and padding metadata block. D.2.1. Example file 2 in hexadecimal representation van Beurden & Weaver Expires 26 April 2023 [Page 68] Internet-Draft FLAC October 2022 00000000: 664c 6143 0000 0022 0010 0010 fLaC...".... 0000000c: 0000 1700 0044 0ac4 42f0 0000 .....D..B... 00000018: 0013 d5b0 5649 75e9 8b8d 8b93 ....VIu..... 00000024: 0422 757b 8103 0300 0012 0000 ."u{........ 00000030: 0000 0000 0000 0000 0000 0000 ............ 0000003c: 0000 0010 0400 003a 2000 0000 .......: ... 00000048: 7265 6665 7265 6e63 6520 6c69 reference li 00000054: 6246 4c41 4320 312e 332e 3320 bFLAC 1.3.3 00000060: 3230 3139 3038 3034 0100 0000 20190804.... 0000006c: 0e00 0000 5449 544c 453d d7a9 ....TITLE=.. 00000078: d79c d795 d79d 8100 0006 0000 ............ 00000084: 0000 0000 fff8 6998 000f 9912 ......i..... 00000090: 0867 0162 3d14 4299 8f5d f70d .g.b=.B..].. 0000009c: 6fe0 0c17 caeb 2100 0ee7 a77a o.....!....z 000000a8: 24a1 590c 1217 b603 097b 784f $.Y......{xO 000000b4: aa9a 33d2 85e0 70ad 5b1b 4851 ..3...p.[.HQ 000000c0: b401 0d99 d2cd 1a68 f1e6 b810 .......h.... 000000cc: fff8 6918 0102 a402 c382 c40b ..i......... 000000d8: c14a 03ee 48dd 03b6 7c13 30 .J..H...|.0 D.2.2. Example file 2 in binary representation (only audio frames) 00000088: 11111111 11111000 01101001 10011000 ..i. 0000008c: 00000000 00001111 10011001 00010010 .... 00000090: 00001000 01100111 00000001 01100010 .g.b 00000094: 00111101 00010100 01000010 10011001 =.B. 00000098: 10001111 01011101 11110111 00001101 .].. 0000009c: 01101111 11100000 00001100 00010111 o... 000000a0: 11001010 11101011 00100001 00000000 ..!. 000000a4: 00001110 11100111 10100111 01111010 ...z 000000a8: 00100100 10100001 01011001 00001100 $.Y. 000000ac: 00010010 00010111 10110110 00000011 .... 000000b0: 00001001 01111011 01111000 01001111 .{xO 000000b4: 10101010 10011010 00110011 11010010 ..3. 000000b8: 10000101 11100000 01110000 10101101 ..p. 000000bc: 01011011 00011011 01001000 01010001 [.HQ 000000c0: 10110100 00000001 00001101 10011001 .... 000000c4: 11010010 11001101 00011010 01101000 ...h 000000c8: 11110001 11100110 10111000 00010000 .... 000000cc: 11111111 11111000 01101001 00011000 ..i. 000000d0: 00000001 00000010 10100100 00000010 .... 000000d4: 11000011 10000010 11000100 00001011 .... 000000d8: 11000001 01001010 00000011 11101110 .J.. 000000dc: 01001000 11011101 00000011 10110110 H... 000000e0: 01111100 00010011 00110000 |.0 van Beurden & Weaver Expires 26 April 2023 [Page 69] Internet-Draft FLAC October 2022 D.2.3. Streaminfo metadata block Most of the streaminfo block, including its header, is the same as in example 1, so only parts that are different are listed in the following table +========+========+============+=============================+ | Start | Length | Contents | Description | +========+========+============+=============================+ | 0x04+0 | 1 bit | 0b0 | Not the last metadata block | +--------+--------+------------+-----------------------------+ | 0x08+0 | 2 byte | 0x0010 | Min. block size 16 | +--------+--------+------------+-----------------------------+ | 0x0a+0 | 2 byte | 0x0010 | Max. block size 16 | +--------+--------+------------+-----------------------------+ | 0x0c+0 | 3 byte | 0x000017 | Min. frame size 23 byte | +--------+--------+------------+-----------------------------+ | 0x0f+0 | 3 byte | 0x000044 | Max. frame size 68 byte | +--------+--------+------------+-----------------------------+ | 0x15+4 | 36 bit | 0b0000, | Total no. of samples 19 | | | | 0x00000013 | | +--------+--------+------------+-----------------------------+ | 0x1a | 16 | (...) | MD5 signature | | | byte | | | +--------+--------+------------+-----------------------------+ Table 29 This time, the minimum and maximum block sizes are reflected in the file: there is one block of 16 samples, the last block (which has 3 samples) is not considered for the minimum block size. The MD5 signature is 0xd5b0 5649 75e9 8b8d 8b93 0422 757b 8103, this will be verified at the end of this example. D.2.4. Seektable The seektable metadata block only holds one entry. It is not really useful here, as it points to the first frame, but it is enough for this example. The seektable metadata block is broken down in the following table. van Beurden & Weaver Expires 26 April 2023 [Page 70] Internet-Draft FLAC October 2022 +========+========+====================+================+ | Start | Length | Contents | Description | +========+========+====================+================+ | 0x2a+0 | 1 bit | 0b0 | Not the last | | | | | metadata block | +--------+--------+--------------------+----------------+ | 0x2a+1 | 7 bit | 0b0000011 | Seektable | | | | | metadata block | +--------+--------+--------------------+----------------+ | 0x2b+0 | 3 byte | 0x000012 | Length 18 byte | +--------+--------+--------------------+----------------+ | 0x2e+0 | 8 byte | 0x0000000000000000 | Seekpoint to | | | | | sample 0 | +--------+--------+--------------------+----------------+ | 0x36+0 | 8 byte | 0x0000000000000000 | Seekpoint to | | | | | offset 0 | +--------+--------+--------------------+----------------+ | 0x3e+0 | 2 byte | 0x0010 | Seekpoint to | | | | | block size 16 | +--------+--------+--------------------+----------------+ Table 30 D.2.5. Vorbis comment The Vorbis comment metadata block contains the vendor string and a single comment. It is broken down in the following table. van Beurden & Weaver Expires 26 April 2023 [Page 71] Internet-Draft FLAC October 2022 +========+=========+============+===============================+ | Start | Length | Contents | Description | +========+=========+============+===============================+ | 0x40+0 | 1 bit | 0b0 | Not the last metadata block | +--------+---------+------------+-------------------------------+ | 0x40+1 | 7 bit | 0b0000100 | Vorbis comment metadata block | +--------+---------+------------+-------------------------------+ | 0x41+0 | 3 byte | 0x00003a | Length 58 byte | +--------+---------+------------+-------------------------------+ | 0x44+0 | 4 byte | 0x20000000 | Vendor string length 32 byte | +--------+---------+------------+-------------------------------+ | 0x48+0 | 32 byte | (...) | Vendor string | +--------+---------+------------+-------------------------------+ | 0x68+0 | 4 byte | 0x01000000 | Number of fields 1 | +--------+---------+------------+-------------------------------+ | 0x6c+0 | 4 byte | 0x0e000000 | Field length 14 byte | +--------+---------+------------+-------------------------------+ | 0x70+0 | 14 byte | (...) | Field contents | +--------+---------+------------+-------------------------------+ Table 31 The vendor string is reference libFLAC 1.3.3 20190804, the field contents of the only field is TITLE=שלום (U+05E9 U+05DC U+05D5 U+05DD). The Vorbis comment field is 14 bytes but only 10 characters in size, because it contains four 2-byte characters. D.2.6. Padding The last metadata block is a (very short) padding block. +========+========+================+========================+ | Start | Length | Contents | Description | +========+========+================+========================+ | 0x7e+0 | 1 bit | 0b1 | Last metadata block | +--------+--------+----------------+------------------------+ | 0x7e+1 | 7 bit | 0b0000001 | Padding metadata block | +--------+--------+----------------+------------------------+ | 0x7f+0 | 3 byte | 0x000006 | Length 6 byte | +--------+--------+----------------+------------------------+ | 0x82+0 | 6 byte | 0x000000000000 | Padding bytes | +--------+--------+----------------+------------------------+ Table 32 van Beurden & Weaver Expires 26 April 2023 [Page 72] Internet-Draft FLAC October 2022 D.2.7. First audio frame The frame header starts at position 0x88 and is broken down in the following table. +========+========+=================+===============================+ | Start | Length | Contents | Description | +========+========+=================+===============================+ | 0x88+0 | 15 bit | 0xff, 0b1111100 | frame sync | +--------+--------+-----------------+-------------------------------+ | 0x89+7 | 1 bit | 0b0 | block size strategy | +--------+--------+-----------------+-------------------------------+ | 0x8a+0 | 4 bit | 0b0110 | 8-bit block size | | | | | further down | +--------+--------+-----------------+-------------------------------+ | 0x8a+4 | 4 bit | 0b1001 | sample rate 44.1kHz | +--------+--------+-----------------+-------------------------------+ | 0x8b+0 | 4 bit | 0b1001 | right-side stereo | +--------+--------+-----------------+-------------------------------+ | 0x8b+4 | 3 bit | 0b100 | bit depth 16 bit | +--------+--------+-----------------+-------------------------------+ | 0x8b+7 | 1 bit | 0b0 | mandatory 0 bit | +--------+--------+-----------------+-------------------------------+ | 0x8c+0 | 1 byte | 0x00 | frame number 0 | +--------+--------+-----------------+-------------------------------+ | 0x8d+0 | 1 byte | 0x0f | block size 16 | +--------+--------+-----------------+-------------------------------+ | 0x8e+0 | 1 byte | 0x99 | frame header CRC | +--------+--------+-----------------+-------------------------------+ Table 33 The first subframe starts at byte 0x8f, it is broken down in the following table excluding the coded residual. As this subframe codes for a side channel, the bit depth is increased by 1 bit from 16 bit to 17 bit. This is most clearly present in the unencoded warm-up sample. van Beurden & Weaver Expires 26 April 2023 [Page 73] Internet-Draft FLAC October 2022 +========+========+=============+===========================+ | Start | Length | Contents | Description | +========+========+=============+===========================+ | 0x8f+0 | 1 bit | 0b0 | mandatory 0 bit | +--------+--------+-------------+---------------------------+ | 0x8f+1 | 6 bit | 0b001001 | fixed subframe, 1st order | +--------+--------+-------------+---------------------------+ | 0x8f+7 | 1 bit | 0b0 | no wasted bits present | +--------+--------+-------------+---------------------------+ | 0x90+0 | 17 bit | 0x0867, 0b0 | unencoded warm-up sample | +--------+--------+-------------+---------------------------+ Table 34 The coded residual is broken down in the following table. All quotients are unary coded, all remainders are stored unencoded with a number of bits specified by the Rice parameter. +========+========+=================+=================+ | Start | Length | Contents | Description | +========+========+=================+=================+ | 0x92+1 | 2 bit | 0b00 | Rice code with | | | | | 4-bit parameter | +--------+--------+-----------------+-----------------+ | 0x92+3 | 4 bit | 0b0000 | Partition order | | | | | 0 | +--------+--------+-----------------+-----------------+ | 0x92+7 | 4 bit | 0b1011 | Rice parameter | | | | | 11 | +--------+--------+-----------------+-----------------+ | 0x93+3 | 4 bit | 0b0001 | Quotient 3 | +--------+--------+-----------------+-----------------+ | 0x93+7 | 11 bit | 0b00011110100 | Remainder 244 | +--------+--------+-----------------+-----------------+ | 0x95+2 | 2 bit | 0b01 | Quotient 1 | +--------+--------+-----------------+-----------------+ | 0x95+4 | 11 bit | 0b01000100001 | Remainder 545 | +--------+--------+-----------------+-----------------+ | 0x96+7 | 2 bit | 0b01 | Quotient 1 | +--------+--------+-----------------+-----------------+ | 0x97+1 | 11 bit | 0b00110011000 | Remainder 408 | +--------+--------+-----------------+-----------------+ | 0x98+4 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0x98+5 | 11 bit | 0b11101011101 | Remainder 1885 | +--------+--------+-----------------+-----------------+ | 0x9a+0 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ van Beurden & Weaver Expires 26 April 2023 [Page 74] Internet-Draft FLAC October 2022 | 0x9a+1 | 11 bit | 0b11101110000 | Remainder 1904 | +--------+--------+-----------------+-----------------+ | 0x9b+4 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0x9b+5 | 11 bit | 0b10101101111 | Remainder 1391 | +--------+--------+-----------------+-----------------+ | 0x9d+0 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0x9d+1 | 11 bit | 0b11000000000 | Remainder 1536 | +--------+--------+-----------------+-----------------+ | 0x9e+4 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0x9e+5 | 11 bit | 0b10000010111 | Remainder 1047 | +--------+--------+-----------------+-----------------+ | 0xa0+0 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0xa0+1 | 11 bit | 0b10010101110 | Remainder 1198 | +--------+--------+-----------------+-----------------+ | 0xa1+4 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0xa1+5 | 11 bit | 0b01100100001 | Remainder 801 | +--------+--------+-----------------+-----------------+ | 0xa3+0 | 13 bit | 0b0000000000001 | Quotient 12 | +--------+--------+-----------------+-----------------+ | 0xa4+5 | 11 bit | 0b11011100111 | Remainder 1767 | +--------+--------+-----------------+-----------------+ | 0xa6+0 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0xa6+1 | 11 bit | 0b01001110111 | Remainder 631 | +--------+--------+-----------------+-----------------+ | 0xa7+4 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0xa7+5 | 11 bit | 0b01000100100 | Remainder 548 | +--------+--------+-----------------+-----------------+ | 0xa9+0 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0xa9+1 | 11 bit | 0b01000010101 | Remainder 533 | +--------+--------+-----------------+-----------------+ | 0xaa+4 | 1 bit | 0b1 | Quotient 0 | +--------+--------+-----------------+-----------------+ | 0xaa+5 | 11 bit | 0b00100001100 | Remainder 268 | +--------+--------+-----------------+-----------------+ Table 35 At this point, the decoder should know it is done decoding the coded residual, as it received 16 samples: 1 warm-up sample and 15 residual samples. Each residual sample can be calculated from the quotient van Beurden & Weaver Expires 26 April 2023 [Page 75] Internet-Draft FLAC October 2022 and remainder, and undoing the zig-zag encoding. For example, the value of the first zig-zag encoded residual sample is 3 * 2^11 + 244 = 6388. As this is an even number, the zig-zag encoding is undone by dividing by 2, the residual sample value is 3194. This is done for all residual samples in the next table +==========+===========+=================+=======================+ | Quotient | Remainder | Zig-zag encoded | Residual sample value | +==========+===========+=================+=======================+ | 3 | 244 | 6388 | 3194 | +----------+-----------+-----------------+-----------------------+ | 1 | 545 | 2593 | -1297 | +----------+-----------+-----------------+-----------------------+ | 1 | 408 | 2456 | 1228 | +----------+-----------+-----------------+-----------------------+ | 0 | 1885 | 1885 | -943 | +----------+-----------+-----------------+-----------------------+ | 0 | 1904 | 1904 | 952 | +----------+-----------+-----------------+-----------------------+ | 0 | 1391 | 1391 | -696 | +----------+-----------+-----------------+-----------------------+ | 0 | 1536 | 1536 | 768 | +----------+-----------+-----------------+-----------------------+ | 0 | 1047 | 1047 | -524 | +----------+-----------+-----------------+-----------------------+ | 0 | 1198 | 1198 | 599 | +----------+-----------+-----------------+-----------------------+ | 0 | 801 | 801 | -401 | +----------+-----------+-----------------+-----------------------+ | 12 | 1767 | 26343 | -13172 | +----------+-----------+-----------------+-----------------------+ | 0 | 631 | 631 | -316 | +----------+-----------+-----------------+-----------------------+ | 0 | 548 | 548 | 274 | +----------+-----------+-----------------+-----------------------+ | 0 | 533 | 533 | -267 | +----------+-----------+-----------------+-----------------------+ | 0 | 268 | 268 | 134 | +----------+-----------+-----------------+-----------------------+ Table 36 It can be calculated that using a Rice code is in this case more efficient than storing values unencoded. The Rice code (excluding the partition order and parameter) is 199 bits in length. The largest residual value (-13172) would need 15 bits to be stored unencoded, so storing all 15 samples with 15 bits results in a sequence with a length of 225 bits. van Beurden & Weaver Expires 26 April 2023 [Page 76] Internet-Draft FLAC October 2022 The next step is using the predictor and the residuals to restore the sample values. As this subframe uses a fixed predictor with order 1, this means adding the residual value to the value of the previous sample. +===========+==============+ | Residual | Sample value | +===========+==============+ | (warm-up) | 4302 | +-----------+--------------+ | 3194 | 7496 | +-----------+--------------+ | -1297 | 6199 | +-----------+--------------+ | 1228 | 7427 | +-----------+--------------+ | -943 | 6484 | +-----------+--------------+ | 952 | 7436 | +-----------+--------------+ | -696 | 6740 | +-----------+--------------+ | 768 | 7508 | +-----------+--------------+ | -524 | 6984 | +-----------+--------------+ | 599 | 7583 | +-----------+--------------+ | -401 | 7182 | +-----------+--------------+ | -13172 | -5990 | +-----------+--------------+ | -316 | -6306 | +-----------+--------------+ | 274 | -6032 | +-----------+--------------+ | -267 | -6299 | +-----------+--------------+ | 134 | -6165 | +-----------+--------------+ Table 37 With this, decoding of the first subframe is complete. Decoding of the second subframe is very similar, as it also uses a fixed predictor of order 1, so this is left as an exercise for the reader, results are in the next table. The next step is stereo decorrelation, which is done in the following table. As the stereo van Beurden & Weaver Expires 26 April 2023 [Page 77] Internet-Draft FLAC October 2022 decorrelation is right-side, in which the actual ordering of the subframes is side-right, the samples in the right channel come directly from the second subframe, while the samples in the left channel are found by adding the values of both subframes for each sample. +============+============+========+=======+ | Subframe 1 | Subframe 2 | Left | Right | +============+============+========+=======+ | 4302 | 6070 | 10372 | 6070 | +------------+------------+--------+-------+ | 7496 | 10545 | 18041 | 10545 | +------------+------------+--------+-------+ | 6199 | 8743 | 14942 | 8743 | +------------+------------+--------+-------+ | 7427 | 10449 | 17876 | 10449 | +------------+------------+--------+-------+ | 6484 | 9143 | 15627 | 9143 | +------------+------------+--------+-------+ | 7436 | 10463 | 17899 | 10463 | +------------+------------+--------+-------+ | 6740 | 9502 | 16242 | 9502 | +------------+------------+--------+-------+ | 7508 | 10569 | 18077 | 10569 | +------------+------------+--------+-------+ | 6984 | 9840 | 16824 | 9840 | +------------+------------+--------+-------+ | 7583 | 10680 | 18263 | 10680 | +------------+------------+--------+-------+ | 7182 | 10113 | 17295 | 10113 | +------------+------------+--------+-------+ | -5990 | -8428 | -14418 | -8428 | +------------+------------+--------+-------+ | -6306 | -8895 | -15201 | -8895 | +------------+------------+--------+-------+ | -6032 | -8476 | -14508 | -8476 | +------------+------------+--------+-------+ | -6299 | -8896 | -15195 | -8896 | +------------+------------+--------+-------+ | -6165 | -8653 | -14818 | -8653 | +------------+------------+--------+-------+ Table 38 As the second subframe ends byte-aligned, no padding bits follow it. Finally, the last 2 bytes of the frame contain the frame CRC. van Beurden & Weaver Expires 26 April 2023 [Page 78] Internet-Draft FLAC October 2022 D.2.8. Second audio frame The second audio frame is very similar to the frame decoded in the first example, but this time not 1 but 3 samples are present. The frame header starts at position 0xcc and is broken down in the following table. +========+========+=================+===============================+ | Start | Length | Contents | Description | +========+========+=================+===============================+ | 0xcc+0 | 15 bit | 0xff, 0b1111100 | frame sync | +--------+--------+-----------------+-------------------------------+ | 0xcd+7 | 1 bit | 0b0 | block size strategy | +--------+--------+-----------------+-------------------------------+ | 0xce+0 | 4 bit | 0b0110 | 8-bit block size | | | | | further down | +--------+--------+-----------------+-------------------------------+ | 0xce+4 | 4 bit | 0b1001 | sample rate 44.1kHz | +--------+--------+-----------------+-------------------------------+ | 0xcf+0 | 4 bit | 0b0001 | stereo, no | | | | | decorrelation | +--------+--------+-----------------+-------------------------------+ | 0xcf+4 | 3 bit | 0b100 | bit depth 16 bit | +--------+--------+-----------------+-------------------------------+ | 0xcf+7 | 1 bit | 0b0 | mandatory 0 bit | +--------+--------+-----------------+-------------------------------+ | 0xd0+0 | 1 byte | 0x01 | frame number 1 | +--------+--------+-----------------+-------------------------------+ | 0xd1+0 | 1 byte | 0x02 | block size 3 | +--------+--------+-----------------+-------------------------------+ | 0xd2+0 | 1 byte | 0xa4 | frame header CRC | +--------+--------+-----------------+-------------------------------+ Table 39 The first subframe starts at 0xd3+0 and is broken down in the following table. van Beurden & Weaver Expires 26 April 2023 [Page 79] Internet-Draft FLAC October 2022 +========+========+==========+=========================+ | Start | Length | Contents | Description | +========+========+==========+=========================+ | 0xd3+0 | 1 bit | 0b0 | mandatory 0 bit | +--------+--------+----------+-------------------------+ | 0xd3+1 | 6 bit | 0b000001 | verbatim subframe | +--------+--------+----------+-------------------------+ | 0xd3+7 | 1 bit | 0b0 | no wasted bits present | +--------+--------+----------+-------------------------+ | 0xd4+0 | 16 bit | 0xc382 | 16-bit unencoded sample | +--------+--------+----------+-------------------------+ | 0xd6+0 | 16 bit | 0xc40b | 16-bit unencoded sample | +--------+--------+----------+-------------------------+ | 0xd8+0 | 16 bit | 0xc14a | 16-bit unencoded sample | +--------+--------+----------+-------------------------+ Table 40 The second subframe starts at 0xda+0 and is broken down in the following table +========+========+===================+=========================+ | Start | Length | Contents | Description | +========+========+===================+=========================+ | 0xda+0 | 1 bit | 0b0 | mandatory 0 bit | +--------+--------+-------------------+-------------------------+ | 0xda+1 | 6 bit | 0b000001 | verbatim subframe | +--------+--------+-------------------+-------------------------+ | 0xda+7 | 1 bit | 0b1 | wasted bits present | +--------+--------+-------------------+-------------------------+ | 0xdb+0 | 1 bit | 0b1 | 1 wasted bit | +--------+--------+-------------------+-------------------------+ | 0xdb+1 | 15 bit | 0b110111001001000 | 15-bit unencoded sample | +--------+--------+-------------------+-------------------------+ | 0xdd+0 | 15 bit | 0b110111010000001 | 15-bit unencoded sample | +--------+--------+-------------------+-------------------------+ | 0xde+7 | 15 bit | 0b110110110011111 | 15-bit unencoded sample | +--------+--------+-------------------+-------------------------+ Table 41 As this subframe has wasted bits, the 15-bit unencoded samples need to be shifted left by 1 bit. For example, sample 1 is stored as -4536 and becomes -9072 after shifting left 1 bit. As the last subframe does not end on byte alignment, 2 padding bits are added before the 2 byte frame CRC follows at 0xe1+0. van Beurden & Weaver Expires 26 April 2023 [Page 80] Internet-Draft FLAC October 2022 D.2.9. MD5 checksum verification All samples in the file have been decoded, we can now verify the MD5 sum. All sample values must be interleaved and stored signed, coded little-endian. The result of this follows in groups of 12 samples (i.e. 6 interchannel samples) per line. 0x8428 B617 7946 3129 5E3A 2722 D445 D128 0B3D B723 EB45 DF28 0x723f 1E25 9D46 4929 B841 7026 5747 B829 8F43 8127 AEC7 14DF 0x9FC4 41DD 54C7 E4DE A5C4 40DD 1EC6 33DE 82C3 90DC 0BC4 02DD 0x4AC1 3EDB The MD5sum of this is indeed the same as the one found in the streaminfo metadata block. D.3. Decoding example 3 This example is once again a very short FLAC file. The focus of this example is on decoding a subframe with a linear predictor and a coded residual with more than one partition. D.3.1. Example file 3 in hexadecimal representation 00000000: 664c 6143 8000 0022 1000 1000 fLaC...".... 0000000c: 0000 1f00 001f 07d0 0070 0000 .........p.. 00000018: 0018 f8f9 e396 f5cb cfc6 dc80 ............ 00000024: 7f99 7790 6b32 fff8 6802 0017 ..w.k2..h... 00000030: e944 004f 6f31 3d10 47d2 27cb .D.Oo1=.G.'. 0000003c: 6d09 0831 452b dc28 2222 8057 m..1E+.("".W 00000048: a3 . D.3.2. Example file 3 in binary representation (only audio frame) 0000002a: 11111111 11111000 01101000 00000010 ..h. 0000002e: 00000000 00010111 11101001 01000100 ...D 00000032: 00000000 01001111 01101111 00110001 .Oo1 00000036: 00111101 00010000 01000111 11010010 =.G. 0000003a: 00100111 11001011 01101101 00001001 '.m. 0000003e: 00001000 00110001 01000101 00101011 .1E+ 00000042: 11011100 00101000 00100010 00100010 .("" 00000046: 10000000 01010111 10100011 .W. D.3.3. Streaminfo metadata block Most of the streaminfo metadata block, including its header, is the same as in example 1, so only parts that are different are listed in the following table van Beurden & Weaver Expires 26 April 2023 [Page 81] Internet-Draft FLAC October 2022 +========+=========+====================+=========================+ | Start | Length | Contents | Description | +========+=========+====================+=========================+ | 0x0c+0 | 3 byte | 0x00001f | Min. frame size 31 byte | +--------+---------+--------------------+-------------------------+ | 0x0f+0 | 3 byte | 0x00001f | Max. frame size 31 byte | +--------+---------+--------------------+-------------------------+ | 0x12+0 | 20 bit | 0x07d0, 0x0000 | Sample rate 32000 hertz | +--------+---------+--------------------+-------------------------+ | 0x14+4 | 3 bit | 0b000 | 1 channel | +--------+---------+--------------------+-------------------------+ | 0x14+7 | 5 bit | 0b00111 | Sample bit depth 8 bit | +--------+---------+--------------------+-------------------------+ | 0x15+4 | 36 bit | 0b0000, 0x00000018 | Total no. of samples 24 | +--------+---------+--------------------+-------------------------+ | 0x1a | 16 byte | (...) | MD5 signature | +--------+---------+--------------------+-------------------------+ Table 42 D.3.4. Audio frame The frame header starts at position 0x2a and is broken down in the following table. van Beurden & Weaver Expires 26 April 2023 [Page 82] Internet-Draft FLAC October 2022 +========+========+=================+===============================+ | Start | Length | Contents | Description | +========+========+=================+===============================+ | 0x2a+0 | 15 bit | 0xff, 0b1111100 | Frame sync | +--------+--------+-----------------+-------------------------------+ | 0x2b+7 | 1 bit | 0b0 | Block size strategy | +--------+--------+-----------------+-------------------------------+ | 0x2c+0 | 4 bit | 0b0110 | 8-bit block size | | | | | further down | +--------+--------+-----------------+-------------------------------+ | 0x2c+4 | 4 bit | 0b1000 | Sample rate 32kHz | +--------+--------+-----------------+-------------------------------+ | 0x2d+0 | 4 bit | 0b0000 | Mono audio (1 | | | | | channel) | +--------+--------+-----------------+-------------------------------+ | 0x2d+4 | 3 bit | 0b001 | Bit depth 8 bit | +--------+--------+-----------------+-------------------------------+ | 0x2d+7 | 1 bit | 0b0 | Mandatory 0 bit | +--------+--------+-----------------+-------------------------------+ | 0x2e+0 | 1 byte | 0x00 | Frame number 0 | +--------+--------+-----------------+-------------------------------+ | 0x2f+0 | 1 byte | 0x17 | Block size 24 | +--------+--------+-----------------+-------------------------------+ | 0x30+0 | 1 byte | 0xe9 | Frame header CRC | +--------+--------+-----------------+-------------------------------+ Table 43 The first and only subframe starts at byte 0x31, it is broken down in the following table, without the coded residual. van Beurden & Weaver Expires 26 April 2023 [Page 83] Internet-Draft FLAC October 2022 +========+========+==========+=====================+ | Start | Length | Contents | Description | +========+========+==========+=====================+ | 0x31+0 | 1 bit | 0b0 | Mandatory 0 bit | +--------+--------+----------+---------------------+ | 0x31+1 | 6 bit | 0b100010 | Linear prediction | | | | | subframe, 3rd order | +--------+--------+----------+---------------------+ | 0x31+7 | 1 bit | 0b0 | No wasted bits | | | | | present | +--------+--------+----------+---------------------+ | 0x32+0 | 8 bit | 0x00 | Unencoded warm-up | | | | | sample 0 | +--------+--------+----------+---------------------+ | 0x33+0 | 8 bit | 0x4f | Unencoded warm-up | | | | | sample 79 | +--------+--------+----------+---------------------+ | 0x34+0 | 8 bit | 0x6f | Unencoded warm-up | | | | | sample 111 | +--------+--------+----------+---------------------+ | 0x35+0 | 4 bit | 0b0011 | Coefficient | | | | | precision 4 bit | +--------+--------+----------+---------------------+ | 0x35+4 | 5 bit | 0b00010 | Prediction right | | | | | shift 2 | +--------+--------+----------+---------------------+ | 0x36+1 | 4 bit | 0b0111 | Predictor | | | | | coefficient 7 | +--------+--------+----------+---------------------+ | 0x36+5 | 4 bit | 0b1010 | Predictor | | | | | coefficient -6 | +--------+--------+----------+---------------------+ | 0x37+1 | 4 bit | 0b0010 | Predictor | | | | | coefficient 2 | +--------+--------+----------+---------------------+ Table 44 The data stream continues with the coded residual, which is broken down in the following table. Residual partition 3 and 4 are left as an exercise for the reader. +========+========+==========+======================================+ | Start | Length | Contents | Description | +========+========+==========+======================================+ | 0x37+5 | 2 bit | 0b00 | Rice-coded residual, | | | | | 4-bit parameter | +--------+--------+----------+--------------------------------------+ van Beurden & Weaver Expires 26 April 2023 [Page 84] Internet-Draft FLAC October 2022 | 0x37+7 | 4 bit | 0b0010 | Partition order 2 | +--------+--------+----------+--------------------------------------+ | 0x38+3 | 4 bit | 0b0011 | Rice parameter 3 | +--------+--------+----------+--------------------------------------+ | 0x38+7 | 1 bit | 0b1 | Quotient 0 | +--------+--------+----------+--------------------------------------+ | 0x39+0 | 3 bit | 0b110 | Remainder 6 | +--------+--------+----------+--------------------------------------+ | 0x39+3 | 1 bit | 0b1 | Quotient 0 | +--------+--------+----------+--------------------------------------+ | 0x39+4 | 3 bit | 0b001 | Remainder 1 | +--------+--------+----------+--------------------------------------+ | 0x39+7 | 4 bit | 0b0001 | Quotient 3 | +--------+--------+----------+--------------------------------------+ | 0x3a+3 | 3 bit | 0b001 | Remainder 1 | +--------+--------+----------+--------------------------------------+ | 0x3a+6 | 4 bit | 0b1111 | No Rice parameter, | | | | | escape code | +--------+--------+----------+--------------------------------------+ | 0x3b+2 | 5 bit | 0b00101 | Partition encoded | | | | | with 5 bits | +--------+--------+----------+--------------------------------------+ | 0x3b+7 | 5 bit | 0b10110 | Residual -10 | +--------+--------+----------+--------------------------------------+ | 0x3c+4 | 5 bit | 0b11010 | Residual -6 | +--------+--------+----------+--------------------------------------+ | 0x3d+1 | 5 bit | 0b00010 | Residual 2 | +--------+--------+----------+--------------------------------------+ | 0x3d+6 | 5 bit | 0b01000 | Residual 8 | +--------+--------+----------+--------------------------------------+ | 0x3e+3 | 5 bit | 0b01000 | Residual 8 | +--------+--------+----------+--------------------------------------+ | 0x3f+0 | 5 bit | 0b00110 | Residual 6 | +--------+--------+----------+--------------------------------------+ | 0x3f+5 | 4 bit | 0b0010 | Rice parameter 2 | +--------+--------+----------+--------------------------------------+ | 0x40+1 | 22 bit | (...) | Residual partition 3 | +--------+--------+----------+--------------------------------------+ | 0x42+7 | 4 bit | 0b0001 | Rice parameter 1 | +--------+--------+----------+--------------------------------------+ | 0x43+3 | 23 bit | (...) | Residual partition 4 | +--------+--------+----------+--------------------------------------+ Table 45 The frame ends with 6 padding bits and a 2 byte frame CRC van Beurden & Weaver Expires 26 April 2023 [Page 85] Internet-Draft FLAC October 2022 To decode this subframe, 21 predictions have to be calculated and added to their corresponding residuals. This is a sequential process: as each prediction uses previous samples, it is not possible to start this decoding halfway a subframe or decode a subframe with parallel threads. The following table breaks down the calculation of each sample. For example, the predictor without shift value of row 4 is found by applying the predictor with the three warm-up samples: 7*111 - 6*79 + 2*0 = 303. This value is then shifted right by 2 bit: 303 >> 2 = 75. Then, the decoded residual sample is added: 75 + 3 = 78. +===========+=====================+===========+==============+ | Residual | Predictor w/o shift | Predictor | Sample value | +===========+=====================+===========+==============+ | (warm-up) | N/A | N/A | 0 | +-----------+---------------------+-----------+--------------+ | (warm-up) | N/A | N/A | 79 | +-----------+---------------------+-----------+--------------+ | (warm-up) | N/A | N/A | 111 | +-----------+---------------------+-----------+--------------+ | 3 | 303 | 75 | 78 | +-----------+---------------------+-----------+--------------+ | -1 | 38 | 9 | 8 | +-----------+---------------------+-----------+--------------+ | -13 | -190 | -48 | -61 | +-----------+---------------------+-----------+--------------+ | -10 | -319 | -80 | -90 | +-----------+---------------------+-----------+--------------+ | -6 | -248 | -62 | -68 | +-----------+---------------------+-----------+--------------+ | 2 | -58 | -15 | -13 | +-----------+---------------------+-----------+--------------+ | 8 | 137 | 34 | 42 | +-----------+---------------------+-----------+--------------+ | 8 | 236 | 59 | 67 | +-----------+---------------------+-----------+--------------+ | 6 | 191 | 47 | 53 | +-----------+---------------------+-----------+--------------+ | 0 | 53 | 13 | 13 | +-----------+---------------------+-----------+--------------+ | -3 | -93 | -24 | -27 | +-----------+---------------------+-----------+--------------+ | -5 | -161 | -41 | -46 | +-----------+---------------------+-----------+--------------+ | -4 | -134 | -34 | -38 | +-----------+---------------------+-----------+--------------+ | -1 | -44 | -11 | -12 | van Beurden & Weaver Expires 26 April 2023 [Page 86] Internet-Draft FLAC October 2022 +-----------+---------------------+-----------+--------------+ | 1 | 52 | 13 | 14 | +-----------+---------------------+-----------+--------------+ | 1 | 94 | 23 | 24 | +-----------+---------------------+-----------+--------------+ | 4 | 60 | 15 | 19 | +-----------+---------------------+-----------+--------------+ | 2 | 17 | 4 | 6 | +-----------+---------------------+-----------+--------------+ | 2 | -24 | -6 | -4 | +-----------+---------------------+-----------+--------------+ | 2 | -26 | -7 | -5 | +-----------+---------------------+-----------+--------------+ | 0 | 1 | 0 | 0 | +-----------+---------------------+-----------+--------------+ Table 46 Lining all these samples up, we get the following input for the MD5 summing process. 0x004F 6F4E 08C3 A6BC F32A 4335 0DE5 D2DA F40E 1813 06FC FB00 Which indeed results in the MD5 signature found in the streaminfo metadata block. Authors' Addresses Martijn van Beurden Netherlands Email: mvanb1@gmail.com Andrew Weaver Email: theandrewjw@gmail.com van Beurden & Weaver Expires 26 April 2023 [Page 87]