From ab9ee4a0d9aa7c1d005fd54e5b7cbb32659db486 Mon Sep 17 00:00:00 2001 From: Monty Date: Thu, 11 Aug 2011 07:30:43 +0000 Subject: [PATCH] More underscore cleanups; it appears that \usepackage{underscore} in unreliable in several environments like \mathtt and \emph svn path=/trunk/vorbis/; revision=18067 --- doc/01-introduction.tex | 2 +- doc/03-codebook.tex | 120 ++-- doc/04-codec.tex | 268 ++++---- doc/05-comment.tex | 16 +- doc/07-floor1.tex | 162 ++--- doc/08-residue.tex | 136 ++-- doc/09-helper.tex | 36 +- doc/10-tables.tex | 2 +- doc/Vorbis_I_spec.html | 247 +++---- doc/Vorbis_I_spec.pdf | 1740 +++++++++++++++++++++++------------------------ 10 files changed, 1367 insertions(+), 1362 deletions(-) diff --git a/doc/01-introduction.tex b/doc/01-introduction.tex index b1e4c6f..b522730 100644 --- a/doc/01-introduction.tex +++ b/doc/01-introduction.tex @@ -517,7 +517,7 @@ transform orthogonality. Pay attention however to returning the correct data range; the amount of data to be returned is: \begin{Verbatim}[commandchars=\\\{\}] -window_blocksize(previous_window)/4+window_blocksize(current_window)/4 +window\_blocksize(previous\_window)/4+window\_blocksize(current\_window)/4 \end{Verbatim} from the center of the previous window to the center of the current diff --git a/doc/03-codebook.tex b/doc/03-codebook.tex index 987b436..2da74af 100644 --- a/doc/03-codebook.tex +++ b/doc/03-codebook.tex @@ -41,16 +41,16 @@ byte 1: [ 0 1 0 0 0 0 1 1 ] (0x43) byte 2: [ 0 1 0 1 0 1 1 0 ] (0x56) \end{Verbatim} -16 bit \varname{[codebook_dimensions]} and 24 bit \varname{[codebook_entries]} fields: +16 bit \varname{[codebook\_dimensions]} and 24 bit \varname{[codebook\_entries]} fields: \begin{Verbatim}[commandchars=\\\{\}] byte 3: [ X X X X X X X X ] -byte 4: [ X X X X X X X X ] [codebook_dimensions] (16 bit unsigned) +byte 4: [ X X X X X X X X ] [codebook\_dimensions] (16 bit unsigned) byte 5: [ X X X X X X X X ] byte 6: [ X X X X X X X X ] -byte 7: [ X X X X X X X X ] [codebook_entries] (24 bit unsigned) +byte 7: [ X X X X X X X X ] [codebook\_entries] (24 bit unsigned) \end{Verbatim} @@ -63,9 +63,9 @@ byte 8: [ X ] [ordered] (1 bit) \end{Verbatim} Each entry, numbering a -total of \varname{[codebook_entries]}, is assigned a codeword length. +total of \varname{[codebook\_entries]}, is assigned a codeword length. We now read the list of codeword lengths and store these lengths in -the array \varname{[codebook_codeword_lengths]}. Decode of lengths is +the array \varname{[codebook\_codeword\_lengths]}. Decode of lengths is according to whether the \varname{[ordered]} flag is set or unset. \begin{itemize} @@ -83,7 +83,7 @@ according to whether the \varname{[ordered]} flag is set or unset. byte 8: [ X 1 ] [sparse] flag (1 bit) \end{Verbatim} - The decoder now performs for each of the \varname{[codebook_entries]} + The decoder now performs for each of the \varname{[codebook\_entries]} codebook entries: \begin{Verbatim}[commandchars=\\\{\}] @@ -118,16 +118,16 @@ byte 8: [ X 1 ] [sparse] flag (1 bit) codewords per length. That is, beginning at entry zero: \begin{Verbatim}[commandchars=\\\{\}] - 1) [current_entry] = 0; - 2) [current_length] = read a five bit unsigned integer and add 1; - 3) [number] = read \link{vorbis:spec:ilog}{ilog}([codebook_entries] - [current_entry]) bits as an unsigned integer - 4) set the entries [current_entry] through [current_entry]+[number]-1, inclusive, - of the [codebook_codeword_lengths] array to [current_length] - 5) set [current_entry] to [number] + [current_entry] - 6) increment [current_length] by 1 - 7) if [current_entry] is greater than [codebook_entries] ERROR CONDITION; + 1) [current\_entry] = 0; + 2) [current\_length] = read a five bit unsigned integer and add 1; + 3) [number] = read \link{vorbis:spec:ilog}{ilog}([codebook\_entries] - [current\_entry]) bits as an unsigned integer + 4) set the entries [current\_entry] through [current\_entry]+[number]-1, inclusive, + of the [codebook\_codeword\_lengths] array to [current\_length] + 5) set [current\_entry] to [number] + [current\_entry] + 6) increment [current\_length] by 1 + 7) if [current\_entry] is greater than [codebook\_entries] ERROR CONDITION; the decoder will not be able to read this stream. - 8) if [current_entry] is less than [codebook_entries], repeat process starting at 3) + 8) if [current\_entry] is less than [codebook\_entries], repeat process starting at 3) 9) done. \end{Verbatim} @@ -148,10 +148,10 @@ VQ) The lookup table type is read as a four bit unsigned integer: \begin{Verbatim}[commandchars=\\\{\}] - 1) [codebook_lookup_type] = read four bits as an unsigned integer + 1) [codebook\_lookup\_type] = read four bits as an unsigned integer \end{Verbatim} -Codebook decode precedes according to \varname{[codebook_lookup_type]}: +Codebook decode precedes according to \varname{[codebook\_lookup\_type]}: \begin{itemize} \item Lookup type zero indicates no lookup to be read. Proceed past @@ -160,32 +160,32 @@ lookup decode. Lookup types one and two are similar, differing only in the number of lookup values to be read. Lookup type one reads a list of values that are permuted in a set pattern to build a list of vectors, -each vector of order \varname{[codebook_dimensions]} scalars. Lookup +each vector of order \varname{[codebook\_dimensions]} scalars. Lookup type two builds the same vector list, but reads each scalar for each vector explicitly, rather than building vectors from a smaller list of possible scalar values. Lookup decode proceeds as follows: \begin{Verbatim}[commandchars=\\\{\}] - 1) [codebook_minimum_value] = \link{vorbis:spec:float32:unpack}{float32_unpack}( read 32 bits as an unsigned integer) - 2) [codebook_delta_value] = \link{vorbis:spec:float32:unpack}{float32_unpack}( read 32 bits as an unsigned integer) - 3) [codebook_value_bits] = read 4 bits as an unsigned integer and add 1 - 4) [codebook_sequence_p] = read 1 bit as a boolean flag + 1) [codebook\_minimum\_value] = \link{vorbis:spec:float32:unpack}{float32\_unpack}( read 32 bits as an unsigned integer) + 2) [codebook\_delta\_value] = \link{vorbis:spec:float32:unpack}{float32\_unpack}( read 32 bits as an unsigned integer) + 3) [codebook\_value\_bits] = read 4 bits as an unsigned integer and add 1 + 4) [codebook\_sequence\_p] = read 1 bit as a boolean flag - if ( [codebook_lookup_type] is 1 ) \{ + if ( [codebook\_lookup\_type] is 1 ) \{ - 5) [codebook_lookup_values] = \link{vorbis:spec:lookup1:values}{lookup1_values}(\varname{[codebook_entries]}, \varname{[codebook_dimensions]} ) + 5) [codebook\_lookup\_values] = \link{vorbis:spec:lookup1:values}{lookup1\_values}(\varname{[codebook\_entries]}, \varname{[codebook\_dimensions]} ) \} else \{ - 6) [codebook_lookup_values] = \varname{[codebook_entries]} * \varname{[codebook_dimensions]} + 6) [codebook\_lookup\_values] = \varname{[codebook\_entries]} * \varname{[codebook\_dimensions]} \} - 7) read a total of [codebook_lookup_values] unsigned integers of [codebook_value_bits] each; - store these in order in the array [codebook_multiplicands] + 7) read a total of [codebook\_lookup\_values] unsigned integers of [codebook\_value\_bits] each; + store these in order in the array [codebook\_multiplicands] \end{Verbatim} \item -A \varname{[codebook_lookup_type]} of greater than two is reserved +A \varname{[codebook\_lookup\_type]} of greater than two is reserved and indicates a stream that is not decodable by the specification in this document. @@ -197,8 +197,8 @@ considered an error condition rendering the stream undecodable. \paragraph{Huffman decision tree representation} -The \varname{[codebook_codeword_lengths]} array and -\varname{[codebook_entries]} value uniquely define the Huffman decision +The \varname{[codebook\_codeword\_lengths]} array and +\varname{[codebook\_entries]} value uniquely define the Huffman decision tree used for entropy decoding. Briefly, each used codebook entry (recall that length-unordered @@ -282,20 +282,20 @@ decode to that entry number. Unpacking the VQ lookup table vectors relies on the following values: \begin{programlisting} -the [codebook_multiplicands] array -[codebook_minimum_value] -[codebook_delta_value] -[codebook_sequence_p] -[codebook_lookup_type] -[codebook_entries] -[codebook_dimensions] -[codebook_lookup_values] +the [codebook\_multiplicands] array +[codebook\_minimum\_value] +[codebook\_delta\_value] +[codebook\_sequence\_p] +[codebook\_lookup\_type] +[codebook\_entries] +[codebook\_dimensions] +[codebook\_lookup\_values] \end{programlisting} \bigskip Decoding (unpacking) a specific vector in the vector lookup table -proceeds according to \varname{[codebook_lookup_type]}. The unpacked +proceeds according to \varname{[codebook\_lookup\_type]}. The unpacked vector values are what a codebook would return during audio packet decode in a VQ context. @@ -304,25 +304,25 @@ decode in a VQ context. Lookup type one specifies a lattice VQ lookup table built algorithmically from a list of scalar values. Calculate (unpack) the final values of a codebook entry vector from the entries in -\varname{[codebook_multiplicands]} as follows (\varname{[value_vector]} +\varname{[codebook\_multiplicands]} as follows (\varname{[value\_vector]} is the output vector representing the vector of values for entry number -\varname{[lookup_offset]} in this codebook): +\varname{[lookup\_offset]} in this codebook): \begin{Verbatim}[commandchars=\\\{\}] 1) [last] = 0; - 2) [index_divisor] = 1; - 3) iterate [i] over the range 0 ... [codebook_dimensions]-1 (once for each scalar value in the value vector) \{ + 2) [index\_divisor] = 1; + 3) iterate [i] over the range 0 ... [codebook\_dimensions]-1 (once for each scalar value in the value vector) \{ - 4) [multiplicand_offset] = ( [lookup_offset] divided by [index_divisor] using integer - division ) integer modulo [codebook_lookup_values] + 4) [multiplicand\_offset] = ( [lookup\_offset] divided by [index\_divisor] using integer + division ) integer modulo [codebook\_lookup\_values] - 5) vector [value_vector] element [i] = - ( [codebook_multiplicands] array element number [multiplicand_offset] ) * - [codebook_delta_value] + [codebook_minimum_value] + [last]; + 5) vector [value\_vector] element [i] = + ( [codebook\_multiplicands] array element number [multiplicand\_offset] ) * + [codebook\_delta\_value] + [codebook\_minimum\_value] + [last]; - 6) if ( [codebook_sequence_p] is set ) then set [last] = vector [value_vector] element [i] + 6) if ( [codebook\_sequence\_p] is set ) then set [last] = vector [value\_vector] element [i] - 7) [index_divisor] = [index_divisor] * [codebook_lookup_values] + 7) [index\_divisor] = [index\_divisor] * [codebook\_lookup\_values] \} @@ -334,25 +334,25 @@ is the output vector representing the vector of values for entry number \paragraph{Vector value decode: Lookup type 2} Lookup type two specifies a VQ lookup table in which each scalar in -each vector is explicitly set by the \varname{[codebook_multiplicands]} +each vector is explicitly set by the \varname{[codebook\_multiplicands]} array in a one-to-one mapping. Calculate [unpack] the final values of a codebook entry vector from the entries in -\varname{[codebook_multiplicands]} as follows (\varname{[value_vector]} +\varname{[codebook\_multiplicands]} as follows (\varname{[value\_vector]} is the output vector representing the vector of values for entry number -\varname{[lookup_offset]} in this codebook): +\varname{[lookup\_offset]} in this codebook): \begin{Verbatim}[commandchars=\\\{\}] 1) [last] = 0; - 2) [multiplicand_offset] = [lookup_offset] * [codebook_dimensions] - 3) iterate [i] over the range 0 ... [codebook_dimensions]-1 (once for each scalar value in the value vector) \{ + 2) [multiplicand\_offset] = [lookup\_offset] * [codebook\_dimensions] + 3) iterate [i] over the range 0 ... [codebook\_dimensions]-1 (once for each scalar value in the value vector) \{ - 4) vector [value_vector] element [i] = - ( [codebook_multiplicands] array element number [multiplicand_offset] ) * - [codebook_delta_value] + [codebook_minimum_value] + [last]; + 4) vector [value\_vector] element [i] = + ( [codebook\_multiplicands] array element number [multiplicand\_offset] ) * + [codebook\_delta\_value] + [codebook\_minimum\_value] + [last]; - 5) if ( [codebook_sequence_p] is set ) then set [last] = vector [value_vector] element [i] + 5) if ( [codebook\_sequence\_p] is set ) then set [last] = vector [value\_vector] element [i] - 6) increment [multiplicand_offset] + 6) increment [multiplicand\_offset] \} diff --git a/doc/04-codec.tex b/doc/04-codec.tex index 035496f..5d69fa2 100644 --- a/doc/04-codec.tex +++ b/doc/04-codec.tex @@ -29,7 +29,7 @@ Each header packet begins with the same header fields. \begin{Verbatim}[commandchars=\\\{\}] - 1) [packet_type] : 8 bit value + 1) [packet\_type] : 8 bit value 2) 0x76, 0x6f, 0x72, 0x62, 0x69, 0x73: the characters 'v','o','r','b','i','s' as six octets \end{Verbatim} @@ -49,23 +49,23 @@ relevant pieces of information about the audio stream. The identification header is coded as follows: \begin{Verbatim}[commandchars=\\\{\}] - 1) [vorbis_version] = read 32 bits as unsigned integer - 2) [audio_channels] = read 8 bit integer as unsigned - 3) [audio_sample_rate] = read 32 bits as unsigned integer - 4) [bitrate_maximum] = read 32 bits as signed integer - 5) [bitrate_nominal] = read 32 bits as signed integer - 6) [bitrate_minimum] = read 32 bits as signed integer - 7) [blocksize_0] = 2 exponent (read 4 bits as unsigned integer) - 8) [blocksize_1] = 2 exponent (read 4 bits as unsigned integer) - 9) [framing_flag] = read one bit + 1) [vorbis\_version] = read 32 bits as unsigned integer + 2) [audio\_channels] = read 8 bit integer as unsigned + 3) [audio\_sample\_rate] = read 32 bits as unsigned integer + 4) [bitrate\_maximum] = read 32 bits as signed integer + 5) [bitrate\_nominal] = read 32 bits as signed integer + 6) [bitrate\_minimum] = read 32 bits as signed integer + 7) [blocksize\_0] = 2 exponent (read 4 bits as unsigned integer) + 8) [blocksize\_1] = 2 exponent (read 4 bits as unsigned integer) + 9) [framing\_flag] = read one bit \end{Verbatim} -\varname{[vorbis_version]} is to read '0' in order to be compatible -with this document. Both \varname{[audio_channels]} and -\varname{[audio_sample_rate]} must read greater than zero. Allowed final +\varname{[vorbis\_version]} is to read '0' in order to be compatible +with this document. Both \varname{[audio\_channels]} and +\varname{[audio\_sample\_rate]} must read greater than zero. Allowed final blocksize values are 64, 128, 256, 512, 1024, 2048, 4096 and 8192 in -Vorbis I. \varname{[blocksize_0]} must be less than or equal to -\varname{[blocksize_1]}. The framing bit must be nonzero. Failure to +Vorbis I. \varname{[blocksize\_0]} must be less than or equal to +\varname{[blocksize\_1]}. The framing bit must be nonzero. Failure to meet any of these conditions renders a stream undecodable. The bitrate fields above are used only as hints. The nominal bitrate @@ -108,11 +108,11 @@ proceeds in the following order: \paragraph{Codebooks} \begin{enumerate} -\item \varname{[vorbis_codebook_count]} = read eight bits as unsigned integer and add one -\item Decode \varname{[vorbis_codebook_count]} codebooks in order as defined +\item \varname{[vorbis\_codebook\_count]} = read eight bits as unsigned integer and add one +\item Decode \varname{[vorbis\_codebook\_count]} codebooks in order as defined in \xref{vorbis:spec:codebook}. Save each configuration, in order, in an array of -codebook configurations \varname{[vorbis_codebook_configurations]}. +codebook configurations \varname{[vorbis\_codebook\_configurations]}. \end{enumerate} @@ -124,8 +124,8 @@ configuration placeholder values must be read to maintain bitstream sync. \begin{enumerate} -\item \varname{[vorbis_time_count]} = read 6 bits as unsigned integer and add one -\item read \varname{[vorbis_time_count]} 16 bit values; each value should be zero. If any value is nonzero, this is an error condition and the stream is undecodable. +\item \varname{[vorbis\_time\_count]} = read 6 bits as unsigned integer and add one +\item read \varname{[vorbis\_time\_count]} 16 bit values; each value should be zero. If any value is nonzero, this is an error condition and the stream is undecodable. \end{enumerate} @@ -136,17 +136,17 @@ Vorbis uses two floor types; header decode is handed to the decode abstraction of the appropriate type. \begin{enumerate} - \item \varname{[vorbis_floor_count]} = read 6 bits as unsigned integer and add one - \item For each \varname{[i]} of \varname{[vorbis_floor_count]} floor numbers: + \item \varname{[vorbis\_floor\_count]} = read 6 bits as unsigned integer and add one + \item For each \varname{[i]} of \varname{[vorbis\_floor\_count]} floor numbers: \begin{enumerate} - \item read the floor type: vector \varname{[vorbis_floor_types]} element \varname{[i]} = + \item read the floor type: vector \varname{[vorbis\_floor\_types]} element \varname{[i]} = read 16 bits as unsigned integer \item If the floor type is zero, decode the floor configuration as defined in \xref{vorbis:spec:floor0}; save this -configuration in slot \varname{[i]} of the floor configuration array \varname{[vorbis_floor_configurations]}. +configuration in slot \varname{[i]} of the floor configuration array \varname{[vorbis\_floor\_configurations]}. \item If the floor type is one, -decode the floor configuration as defined in \xref{vorbis:spec:floor1}; save this configuration in slot \varname{[i]} of the floor configuration array \varname{[vorbis_floor_configurations]}. +decode the floor configuration as defined in \xref{vorbis:spec:floor1}; save this configuration in slot \varname{[i]} of the floor configuration array \varname{[vorbis\_floor\_configurations]}. \item If the the floor type is greater than one, this stream is undecodable; ERROR CONDITION \end{enumerate} @@ -160,13 +160,13 @@ Vorbis uses three residue types; header decode of each type is identical. \begin{enumerate} -\item \varname{[vorbis_residue_count]} = read 6 bits as unsigned integer and add one +\item \varname{[vorbis\_residue\_count]} = read 6 bits as unsigned integer and add one -\item For each of \varname{[vorbis_residue_count]} residue numbers: +\item For each of \varname{[vorbis\_residue\_count]} residue numbers: \begin{enumerate} - \item read the residue type; vector \varname{[vorbis_residue_types]} element \varname{[i]} = read 16 bits as unsigned integer + \item read the residue type; vector \varname{[vorbis\_residue\_types]} element \varname{[i]} = read 16 bits as unsigned integer \item If the residue type is zero, -one or two, decode the residue configuration as defined in \xref{vorbis:spec:residue}; save this configuration in slot \varname{[i]} of the residue configuration array \varname{[vorbis_residue_configurations]}. +one or two, decode the residue configuration as defined in \xref{vorbis:spec:residue}; save this configuration in slot \varname{[i]} of the residue configuration array \varname{[vorbis\_residue\_configurations]}. \item If the the residue type is greater than two, this stream is undecodable; ERROR CONDITION \end{enumerate} @@ -185,8 +185,8 @@ uses a single mapping type (0), with implicit PCM channel mappings. % rewrite this pseudocode using listings or algoritmicx or some other % package geared towards this. \begin{enumerate} - \item \varname{[vorbis_mapping_count]} = read 6 bits as unsigned integer and add one - \item For each \varname{[i]} of \varname{[vorbis_mapping_count]} mapping numbers: + \item \varname{[vorbis\_mapping\_count]} = read 6 bits as unsigned integer and add one + \item For each \varname{[i]} of \varname{[vorbis\_mapping\_count]} mapping numbers: \begin{enumerate} \item read the mapping type: 16 bits as unsigned integer. There's no reason to save the mapping type in Vorbis I. \item If the mapping type is nonzero, the stream is undecodable @@ -194,8 +194,8 @@ uses a single mapping type (0), with implicit PCM channel mappings. \begin{enumerate} \item read 1 bit as a boolean flag \begin{enumerate} - \item if set, \varname{[vorbis_mapping_submaps]} = read 4 bits as unsigned integer and add one - \item if unset, \varname{[vorbis_mapping_submaps]} = 1 + \item if set, \varname{[vorbis\_mapping\_submaps]} = read 4 bits as unsigned integer and add one + \item if unset, \varname{[vorbis\_mapping\_submaps]} = 1 \end{enumerate} @@ -203,39 +203,39 @@ uses a single mapping type (0), with implicit PCM channel mappings. \begin{enumerate} \item if set, square polar channel mapping is in use: \begin{itemize} - \item \varname{[vorbis_mapping_coupling_steps]} = read 8 bits as unsigned integer and add one - \item for \varname{[j]} each of \varname{[vorbis_mapping_coupling_steps]} steps: + \item \varname{[vorbis\_mapping\_coupling\_steps]} = read 8 bits as unsigned integer and add one + \item for \varname{[j]} each of \varname{[vorbis\_mapping\_coupling\_steps]} steps: \begin{itemize} - \item vector \varname{[vorbis_mapping_magnitude]} element \varname{[j]}= read \link{vorbis:spec:ilog}{ilog}(\varname{[audio_channels]} - 1) bits as unsigned integer - \item vector \varname{[vorbis_mapping_angle]} element \varname{[j]}= read \link{vorbis:spec:ilog}{ilog}(\varname{[audio_channels]} - 1) bits as unsigned integer - \item the numbers read in the above two steps are channel numbers representing the channel to treat as magnitude and the channel to treat as angle, respectively. If for any coupling step the angle channel number equals the magnitude channel number, the magnitude channel number is greater than \varname{[audio_channels]}-1, or the angle channel is greater than \varname{[audio_channels]}-1, the stream is undecodable. + \item vector \varname{[vorbis\_mapping\_magnitude]} element \varname{[j]}= read \link{vorbis:spec:ilog}{ilog}(\varname{[audio\_channels]} - 1) bits as unsigned integer + \item vector \varname{[vorbis\_mapping\_angle]} element \varname{[j]}= read \link{vorbis:spec:ilog}{ilog}(\varname{[audio\_channels]} - 1) bits as unsigned integer + \item the numbers read in the above two steps are channel numbers representing the channel to treat as magnitude and the channel to treat as angle, respectively. If for any coupling step the angle channel number equals the magnitude channel number, the magnitude channel number is greater than \varname{[audio\_channels]}-1, or the angle channel is greater than \varname{[audio\_channels]}-1, the stream is undecodable. \end{itemize} \end{itemize} - \item if unset, \varname{[vorbis_mapping_coupling_steps]} = 0 + \item if unset, \varname{[vorbis\_mapping\_coupling\_steps]} = 0 \end{enumerate} \item read 2 bits (reserved field); if the value is nonzero, the stream is undecodable - \item if \varname{[vorbis_mapping_submaps]} is greater than one, we read channel multiplex settings. For each \varname{[j]} of \varname{[audio_channels]} channels: + \item if \varname{[vorbis\_mapping\_submaps]} is greater than one, we read channel multiplex settings. For each \varname{[j]} of \varname{[audio\_channels]} channels: \begin{enumerate} - \item vector \varname{[vorbis_mapping_mux]} element \varname{[j]} = read 4 bits as unsigned integer - \item if the value is greater than the highest numbered submap (\varname{[vorbis_mapping_submaps]} - 1), this in an error condition rendering the stream undecodable + \item vector \varname{[vorbis\_mapping\_mux]} element \varname{[j]} = read 4 bits as unsigned integer + \item if the value is greater than the highest numbered submap (\varname{[vorbis\_mapping\_submaps]} - 1), this in an error condition rendering the stream undecodable \end{enumerate} - \item for each submap \varname{[j]} of \varname{[vorbis_mapping_submaps]} submaps, read the floor and residue numbers for use in decoding that submap: + \item for each submap \varname{[j]} of \varname{[vorbis\_mapping\_submaps]} submaps, read the floor and residue numbers for use in decoding that submap: \begin{enumerate} \item read and discard 8 bits (the unused time configuration placeholder) - \item read 8 bits as unsigned integer for the floor number; save in vector \varname{[vorbis_mapping_submap_floor]} element \varname{[j]} + \item read 8 bits as unsigned integer for the floor number; save in vector \varname{[vorbis\_mapping\_submap\_floor]} element \varname{[j]} \item verify the floor number is not greater than the highest number floor configured for the bitstream. If it is, the bitstream is undecodable - \item read 8 bits as unsigned integer for the residue number; save in vector \varname{[vorbis_mapping_submap_residue]} element \varname{[j]} + \item read 8 bits as unsigned integer for the residue number; save in vector \varname{[vorbis\_mapping\_submap\_residue]} element \varname{[j]} \item verify the residue number is not greater than the highest number residue configured for the bitstream. If it is, the bitstream is undecodable \end{enumerate} - \item save this mapping configuration in slot \varname{[i]} of the mapping configuration array \varname{[vorbis_mapping_configurations]}. + \item save this mapping configuration in slot \varname{[i]} of the mapping configuration array \varname{[vorbis\_mapping\_configurations]}. \end{enumerate} \end{enumerate} @@ -247,18 +247,18 @@ uses a single mapping type (0), with implicit PCM channel mappings. \paragraph{Modes} \begin{enumerate} - \item \varname{[vorbis_mode_count]} = read 6 bits as unsigned integer and add one - \item For each of \varname{[vorbis_mode_count]} mode numbers: + \item \varname{[vorbis\_mode\_count]} = read 6 bits as unsigned integer and add one + \item For each of \varname{[vorbis\_mode\_count]} mode numbers: \begin{enumerate} - \item \varname{[vorbis_mode_blockflag]} = read 1 bit - \item \varname{[vorbis_mode_windowtype]} = read 16 bits as unsigned integer - \item \varname{[vorbis_mode_transformtype]} = read 16 bits as unsigned integer - \item \varname{[vorbis_mode_mapping]} = read 8 bits as unsigned integer + \item \varname{[vorbis\_mode\_blockflag]} = read 1 bit + \item \varname{[vorbis\_mode\_windowtype]} = read 16 bits as unsigned integer + \item \varname{[vorbis\_mode\_transformtype]} = read 16 bits as unsigned integer + \item \varname{[vorbis\_mode\_mapping]} = read 8 bits as unsigned integer \item verify ranges; zero is the only legal value in Vorbis I for -\varname{[vorbis_mode_windowtype]} -and \varname{[vorbis_mode_transformtype]}. \varname{[vorbis_mode_mapping]} must not be greater than the highest number mapping in use. Any illegal values render the stream undecodable. +\varname{[vorbis\_mode\_windowtype]} +and \varname{[vorbis\_mode\_transformtype]}. \varname{[vorbis\_mode\_mapping]} must not be greater than the highest number mapping in use. Any illegal values render the stream undecodable. \item save this mode configuration in slot \varname{[i]} of the mode configuration array -\varname{[vorbis_mode_configurations]}. +\varname{[vorbis\_mode\_configurations]}. \end{enumerate} \item read 1 bit as a framing flag. If unset, a framing error occurred and the stream is not @@ -286,25 +286,25 @@ must ignore the packet and not attempt decoding it to audio}. \subsubsection{packet type, mode and window decode} \begin{enumerate} - \item read 1 bit \varname{[packet_type]}; check that packet type is 0 (audio) - \item read \link{vorbis:spec:ilog}{ilog}([vorbis_mode_count]-1) bits -\varname{[mode_number]} - \item decode blocksize \varname{[n]} is equal to \varname{[blocksize_0]} if -\varname{[vorbis_mode_blockflag]} is 0, else \varname{[n]} is equal to \varname{[blocksize_1]}. + \item read 1 bit \varname{[packet\_type]}; check that packet type is 0 (audio) + \item read \link{vorbis:spec:ilog}{ilog}([vorbis\_mode\_count]-1) bits +\varname{[mode\_number]} + \item decode blocksize \varname{[n]} is equal to \varname{[blocksize\_0]} if +\varname{[vorbis\_mode\_blockflag]} is 0, else \varname{[n]} is equal to \varname{[blocksize\_1]}. \item perform window selection and setup; this window is used later by the inverse MDCT: \begin{enumerate} - \item if this is a long window (the \varname{[vorbis_mode_blockflag]} flag of this mode is + \item if this is a long window (the \varname{[vorbis\_mode\_blockflag]} flag of this mode is set): \begin{enumerate} - \item read 1 bit for \varname{[previous_window_flag]} - \item read 1 bit for \varname{[next_window_flag]} - \item if \varname{[previous_window_flag]} is not set, the left half + \item read 1 bit for \varname{[previous\_window\_flag]} + \item read 1 bit for \varname{[next\_window\_flag]} + \item if \varname{[previous\_window\_flag]} is not set, the left half of the window will be a hybrid window for lapping with a short block. See \xref{vorbis:spec:window} for an illustration of overlapping dissimilar windows. Else, the left half window will have normal long shape. - \item if \varname{[next_window_flag]} is not set, the right half of + \item if \varname{[next\_window\_flag]} is not set, the right half of the window will be a hybrid window for lapping with a short block. See \xref{vorbis:spec:window} for an illustration of overlapping dissimilar @@ -324,44 +324,44 @@ lapping requirements can affect overall shape. Window generation proceeds as follows: \begin{enumerate} - \item \varname{[window_center]} = \varname{[n]} / 2 - \item if (\varname{[vorbis_mode_blockflag]} is set and \varname{[previous_window_flag]} is + \item \varname{[window\_center]} = \varname{[n]} / 2 + \item if (\varname{[vorbis\_mode\_blockflag]} is set and \varname{[previous\_window\_flag]} is not set) then \begin{enumerate} - \item \varname{[left_window_start]} = \varname{[n]}/4 - -\varname{[blocksize_0]}/4 - \item \varname{[left_window_end]} = \varname{[n]}/4 + \varname{[blocksize_0]}/4 - \item \varname{[left_n]} = \varname{[blocksize_0]}/2 + \item \varname{[left\_window\_start]} = \varname{[n]}/4 - +\varname{[blocksize\_0]}/4 + \item \varname{[left\_window\_end]} = \varname{[n]}/4 + \varname{[blocksize\_0]}/4 + \item \varname{[left\_n]} = \varname{[blocksize\_0]}/2 \end{enumerate} else \begin{enumerate} - \item \varname{[left_window_start]} = 0 - \item \varname{[left_window_end]} = \varname{[window_center]} - \item \varname{[left_n]} = \varname{[n]}/2 + \item \varname{[left\_window\_start]} = 0 + \item \varname{[left\_window\_end]} = \varname{[window\_center]} + \item \varname{[left\_n]} = \varname{[n]}/2 \end{enumerate} - \item if (\varname{[vorbis_mode_blockflag]} is set and \varname{[next_window_flag]} is not + \item if (\varname{[vorbis\_mode\_blockflag]} is set and \varname{[next\_window\_flag]} is not set) then \begin{enumerate} - \item \varname{[right_window_start]} = \varname{[n]*3}/4 - -\varname{[blocksize_0]}/4 - \item \varname{[right_window_end]} = \varname{[n]*3}/4 + -\varname{[blocksize_0]}/4 - \item \varname{[right_n]} = \varname{[blocksize_0]}/2 + \item \varname{[right\_window\_start]} = \varname{[n]*3}/4 - +\varname{[blocksize\_0]}/4 + \item \varname{[right\_window\_end]} = \varname{[n]*3}/4 + +\varname{[blocksize\_0]}/4 + \item \varname{[right\_n]} = \varname{[blocksize\_0]}/2 \end{enumerate} else \begin{enumerate} - \item \varname{[right_window_start]} = \varname{[window_center]} - \item \varname{[right_window_end]} = \varname{[n]} - \item \varname{[right_n]} = \varname{[n]}/2 + \item \varname{[right\_window\_start]} = \varname{[window\_center]} + \item \varname{[right\_window\_end]} = \varname{[n]} + \item \varname{[right\_n]} = \varname{[n]}/2 \end{enumerate} - \item window from range 0 ... \varname{[left_window_start]}-1 inclusive is zero - \item for \varname{[i]} in range \varname{[left_window_start]} ... -\varname{[left_window_end]}-1, window(\varname{[i]}) = $\sin(\frac{\pi}{2} * \sin^2($ (\varname{[i]}-\varname{[left_window_start]}+0.5) / \varname{[left_n]} $* \frac{\pi}{2})$ ) - \item window from range \varname{[left_window_end]} ... \varname{[right_window_start]}-1 -inclusive is one\item for \varname{[i]} in range \varname{[right_window_start]} ... \varname{[right_window_end]}-1, window(\varname{[i]}) = $\sin(\frac{\pi}{2} * \sin^2($ (\varname{[i]}-\varname{[right_window_start]}+0.5) / \varname{[right_n]} $ * \frac{\pi}{2} + \frac{\pi}{2})$ ) -\item window from range \varname{[right_window_start]} ... \varname{[n]}-1 is + \item window from range 0 ... \varname{[left\_window\_start]}-1 inclusive is zero + \item for \varname{[i]} in range \varname{[left\_window\_start]} ... +\varname{[left\_window\_end]}-1, window(\varname{[i]}) = $\sin(\frac{\pi}{2} * \sin^2($ (\varname{[i]}-\varname{[left\_window\_start]}+0.5) / \varname{[left\_n]} $* \frac{\pi}{2})$ ) + \item window from range \varname{[left\_window\_end]} ... \varname{[right\_window\_start]}-1 +inclusive is one\item for \varname{[i]} in range \varname{[right\_window\_start]} ... \varname{[right\_window\_end]}-1, window(\varname{[i]}) = $\sin(\frac{\pi}{2} * \sin^2($ (\varname{[i]}-\varname{[right\_window\_start]}+0.5) / \varname{[right\_n]} $ * \frac{\pi}{2} + \frac{\pi}{2})$ ) +\item window from range \varname{[right\_window\_start]} ... \varname{[n]}-1 is zero \end{enumerate} @@ -375,30 +375,30 @@ occurrence. \subsubsection{floor curve decode} From this point on, we assume out decode context is using mode number -\varname{[mode_number]} from configuration array -\varname{[vorbis_mode_configurations]} and the map number -\varname{[vorbis_mode_mapping]} (specified by the current mode) taken +\varname{[mode\_number]} from configuration array +\varname{[vorbis\_mode\_configurations]} and the map number +\varname{[vorbis\_mode\_mapping]} (specified by the current mode) taken from the mapping configuration array -\varname{[vorbis_mapping_configurations]}. +\varname{[vorbis\_mapping\_configurations]}. Floor curves are decoded one-by-one in channel order. -For each floor \varname{[i]} of \varname{[audio_channels]} +For each floor \varname{[i]} of \varname{[audio\_channels]} \begin{enumerate} - \item \varname{[submap_number]} = element \varname{[i]} of vector [vorbis_mapping_mux] - \item \varname{[floor_number]} = element \varname{[submap_number]} of vector -[vorbis_submap_floor] + \item \varname{[submap\_number]} = element \varname{[i]} of vector [vorbis\_mapping\_mux] + \item \varname{[floor\_number]} = element \varname{[submap\_number]} of vector +[vorbis\_submap\_floor] \item if the floor type of this -floor (vector \varname{[vorbis_floor_types]} element -\varname{[floor_number]}) is zero then decode the floor for +floor (vector \varname{[vorbis\_floor\_types]} element +\varname{[floor\_number]}) is zero then decode the floor for channel \varname{[i]} according to the \xref{vorbis:spec:floor0-decode} \item if the type of this floor is one then decode the floor for channel \varname{[i]} according to the \xref{vorbis:spec:floor1-decode} \item save the needed decoded floor information for channel for later synthesis - \item if the decoded floor returned 'unused', set vector \varname{[no_residue]} element -\varname{[i]} to true, else set vector \varname{[no_residue]} element \varname{[i]} to + \item if the decoded floor returned 'unused', set vector \varname{[no\_residue]} element +\varname{[i]} to true, else set vector \varname{[no\_residue]} element \varname{[i]} to false \end{enumerate} @@ -418,13 +418,13 @@ coded in the stream, save for one complication. If some vectors are used and some are not, channel coupling could result in mixing a zeroed and nonzeroed vector to produce two nonzeroed vectors. -for each \varname{[i]} from 0 ... \varname{[vorbis_mapping_coupling_steps]}-1 +for each \varname{[i]} from 0 ... \varname{[vorbis\_mapping\_coupling\_steps]}-1 \begin{enumerate} - \item if either \varname{[no_residue]} entry for channel -(\varname{[vorbis_mapping_magnitude]} element \varname{[i]}) + \item if either \varname{[no\_residue]} entry for channel +(\varname{[vorbis\_mapping\_magnitude]} element \varname{[i]}) or channel -(\varname{[vorbis_mapping_angle]} element \varname{[i]}) +(\varname{[vorbis\_mapping\_angle]} element \varname{[i]}) are set to false, then both must be set to false. Note that an 'unused' floor has no decoded floor information; it is important that this is remembered at floor curve synthesis time. @@ -438,34 +438,34 @@ remembered at floor curve synthesis time. Unlike floors, which are decoded in channel order, the residue vectors are decoded in submap order. -for each submap \varname{[i]} in order from 0 ... \varname{[vorbis_mapping_submaps]}-1 +for each submap \varname{[i]} in order from 0 ... \varname{[vorbis\_mapping\_submaps]}-1 \begin{enumerate} \item \varname{[ch]} = 0 - \item for each channel \varname{[j]} in order from 0 ... \varname{[audio_channels]} - 1 + \item for each channel \varname{[j]} in order from 0 ... \varname{[audio\_channels]} - 1 \begin{enumerate} - \item if channel \varname{[j]} in submap \varname{[i]} (vector \varname{[vorbis_mapping_mux]} element \varname{[j]} is equal to \varname{[i]}) + \item if channel \varname{[j]} in submap \varname{[i]} (vector \varname{[vorbis\_mapping\_mux]} element \varname{[j]} is equal to \varname{[i]}) \begin{enumerate} - \item if vector \varname{[no_residue]} element \varname{[j]} is true + \item if vector \varname{[no\_residue]} element \varname{[j]} is true \begin{enumerate} - \item vector \varname{[do_not_decode_flag]} element \varname{[ch]} is set + \item vector \varname{[do\_not\_decode\_flag]} element \varname{[ch]} is set \end{enumerate} else \begin{enumerate} - \item vector \varname{[do_not_decode_flag]} element \varname{[ch]} is unset + \item vector \varname{[do\_not\_decode\_flag]} element \varname{[ch]} is unset \end{enumerate} \item increment \varname{[ch]} \end{enumerate} \end{enumerate} - \item \varname{[residue_number]} = vector \varname{[vorbis_mapping_submap_residue]} element \varname{[i]} - \item \varname{[residue_type]} = vector \varname{[vorbis_residue_types]} element \varname{[residue_number]} - \item decode \varname{[ch]} vectors using residue \varname{[residue_number]}, according to type \varname{[residue_type]}, also passing vector \varname{[do_not_decode_flag]} to indicate which vectors in the bundle should not be decoded. Correct per-vector decode length is \varname{[n]}/2. + \item \varname{[residue\_number]} = vector \varname{[vorbis\_mapping\_submap\_residue]} element \varname{[i]} + \item \varname{[residue\_type]} = vector \varname{[vorbis\_residue\_types]} element \varname{[residue\_number]} + \item decode \varname{[ch]} vectors using residue \varname{[residue\_number]}, according to type \varname{[residue\_type]}, also passing vector \varname{[do\_not\_decode\_flag]} to indicate which vectors in the bundle should not be decoded. Correct per-vector decode length is \varname{[n]}/2. \item \varname{[ch]} = 0 - \item for each channel \varname{[j]} in order from 0 ... \varname{[audio_channels]} + \item for each channel \varname{[j]} in order from 0 ... \varname{[audio\_channels]} \begin{enumerate} - \item if channel \varname{[j]} is in submap \varname{[i]} (vector \varname{[vorbis_mapping_mux]} element \varname{[j]} is equal to \varname{[i]}) + \item if channel \varname{[j]} is in submap \varname{[i]} (vector \varname{[vorbis\_mapping\_mux]} element \varname{[j]} is equal to \varname{[i]}) \begin{enumerate} \item residue vector for channel \varname{[j]} is set to decoded residue vector \varname{[ch]} \item increment \varname{[ch]} @@ -479,26 +479,26 @@ for each submap \varname{[i]} in order from 0 ... \varname{[vorbis_mapping_subma \subsubsection{inverse coupling} -for each \varname{[i]} from \varname{[vorbis_mapping_coupling_steps]}-1 descending to 0 +for each \varname{[i]} from \varname{[vorbis\_mapping\_coupling\_steps]}-1 descending to 0 \begin{enumerate} - \item \varname{[magnitude_vector]} = the residue vector for channel -(vector \varname{[vorbis_mapping_magnitude]} element \varname{[i]}) - \item \varname{[angle_vector]} = the residue vector for channel (vector -\varname{[vorbis_mapping_angle]} element \varname{[i]}) - \item for each scalar value \varname{[M]} in vector \varname{[magnitude_vector]} and the corresponding scalar value \varname{[A]} in vector \varname{[angle_vector]}: + \item \varname{[magnitude\_vector]} = the residue vector for channel +(vector \varname{[vorbis\_mapping\_magnitude]} element \varname{[i]}) + \item \varname{[angle\_vector]} = the residue vector for channel (vector +\varname{[vorbis\_mapping\_angle]} element \varname{[i]}) + \item for each scalar value \varname{[M]} in vector \varname{[magnitude\_vector]} and the corresponding scalar value \varname{[A]} in vector \varname{[angle\_vector]}: \begin{enumerate} \item if (\varname{[M]} is greater than zero) \begin{enumerate} \item if (\varname{[A]} is greater than zero) \begin{enumerate} - \item \varname{[new_M]} = \varname{[M]} - \item \varname{[new_A]} = \varname{[M]}-\varname{[A]} + \item \varname{[new\_M]} = \varname{[M]} + \item \varname{[new\_A]} = \varname{[M]}-\varname{[A]} \end{enumerate} else \begin{enumerate} - \item \varname{[new_A]} = \varname{[M]} - \item \varname{[new_M]} = \varname{[M]}+\varname{[A]} + \item \varname{[new\_A]} = \varname{[M]} + \item \varname{[new\_M]} = \varname{[M]}+\varname{[A]} \end{enumerate} \end{enumerate} @@ -506,19 +506,19 @@ for each \varname{[i]} from \varname{[vorbis_mapping_coupling_steps]}-1 descendi \begin{enumerate} \item if (\varname{[A]} is greater than zero) \begin{enumerate} - \item \varname{[new_M]} = \varname{[M]} - \item \varname{[new_A]} = \varname{[M]}+\varname{[A]} + \item \varname{[new\_M]} = \varname{[M]} + \item \varname{[new\_A]} = \varname{[M]}+\varname{[A]} \end{enumerate} else \begin{enumerate} - \item \varname{[new_A]} = \varname{[M]} - \item \varname{[new_M]} = \varname{[M]}-\varname{[A]} + \item \varname{[new\_A]} = \varname{[M]} + \item \varname{[new\_M]} = \varname{[M]}-\varname{[A]} \end{enumerate} \end{enumerate} - \item set scalar value \varname{[M]} in vector \varname{[magnitude_vector]} to \varname{[new_M]} - \item set scalar value \varname{[A]} in vector \varname{[angle_vector]} to \varname{[new_A]} + \item set scalar value \varname{[M]} in vector \varname{[magnitude\_vector]} to \varname{[new\_M]} + \item set scalar value \varname{[A]} in vector \varname{[angle\_vector]} to \varname{[new\_A]} \end{enumerate} \end{enumerate} @@ -573,7 +573,7 @@ function used for the MDCT is the function described earlier. -\subsubsection{overlap_add} +\subsubsection{overlap\_add} Windowed MDCT output is overlapped and added with the right hand data of the previous window such that the 3/4 point of the previous window @@ -590,7 +590,7 @@ attention however to returning the correct data range; the amount of data to be returned is: \begin{programlisting} -window_blocksize(previous_window)/4+window_blocksize(current_window)/4 +window\_blocksize(previous\_window)/4+window\_blocksize(current\_window)/4 \end{programlisting} from the center (element windowsize/2) of the previous window to the diff --git a/doc/05-comment.tex b/doc/05-comment.tex index 79fd9e9..f06f6b7 100644 --- a/doc/05-comment.tex +++ b/doc/05-comment.tex @@ -46,15 +46,15 @@ unaligned 32 bit little endian unsigned integers. The comment header is decoded as follows: \begin{programlisting} - 1) [vendor_length] = read an unsigned integer of 32 bits - 2) [vendor_string] = read a UTF-8 vector as [vendor_length] octets - 3) [user_comment_list_length] = read an unsigned integer of 32 bits - 4) iterate [user_comment_list_length] times { + 1) [vendor\_length] = read an unsigned integer of 32 bits + 2) [vendor\_string] = read a UTF-8 vector as [vendor\_length] octets + 3) [user\_comment\_list\_length] = read an unsigned integer of 32 bits + 4) iterate [user\_comment\_list\_length] times { 5) [length] = read an unsigned integer of 32 bits 6) this iteration's user comment = read a UTF-8 vector as [length] octets } - 7) [framing_bit] = read a single bit as boolean - 8) if ( [framing_bit] unset or end-of-packet ) then ERROR + 7) [framing\_bit] = read a single bit as boolean + 8) if ( [framing\_bit] unset or end-of-packet ) then ERROR 9) done. \end{programlisting} @@ -124,7 +124,7 @@ info) Use Permitted', a URL to a license such as a Creative Commons license ("www.creativecommons.org/blahblah/license.html") or the EFF Open Audio License ('distributed under the terms of the Open Audio -License. see http://www.eff.org/IP/Open_licenses/eff_oal.html for +License. see http://www.eff.org/IP/Open\_licenses/eff\_oal.html for details'), etc. \item[ORGANIZATION] @@ -231,7 +231,7 @@ bitstream octet first): \end{enumerate} -This is actually somewhat easier to describe in code; implementation of the above can be found in \filename{vorbis/lib/info.c}, \function{_vorbis_pack_comment()} and \function{_vorbis_unpack_comment()}. +This is actually somewhat easier to describe in code; implementation of the above can be found in \filename{vorbis/lib/info.c}, \function{\_vorbis\_pack\_comment()} and \function{\_vorbis\_unpack\_comment()}. diff --git a/doc/07-floor1.tex b/doc/07-floor1.tex index 216eb1d..c431a94 100644 --- a/doc/07-floor1.tex +++ b/doc/07-floor1.tex @@ -111,44 +111,44 @@ context. \begin{Verbatim}[commandchars=\\\{\}] - 1) [floor1_partitions] = read 5 bits as unsigned integer - 2) [maximum_class] = -1 - 3) iterate [i] over the range 0 ... [floor1_partitions]-1 \{ + 1) [floor1\_partitions] = read 5 bits as unsigned integer + 2) [maximum\_class] = -1 + 3) iterate [i] over the range 0 ... [floor1\_partitions]-1 \{ - 4) vector [floor1_partition_class_list] element [i] = read 4 bits as unsigned integer + 4) vector [floor1\_partition\_class\_list] element [i] = read 4 bits as unsigned integer \} - 5) [maximum_class] = largest integer scalar value in vector [floor1_partition_class_list] - 6) iterate [i] over the range 0 ... [maximum_class] \{ + 5) [maximum\_class] = largest integer scalar value in vector [floor1\_partition\_class\_list] + 6) iterate [i] over the range 0 ... [maximum\_class] \{ - 7) vector [floor1_class_dimensions] element [i] = read 3 bits as unsigned integer and add 1 - 8) vector [floor1_class_subclasses] element [i] = read 2 bits as unsigned integer - 9) if ( vector [floor1_class_subclasses] element [i] is nonzero ) \{ + 7) vector [floor1\_class\_dimensions] element [i] = read 3 bits as unsigned integer and add 1 + 8) vector [floor1\_class\_subclasses] element [i] = read 2 bits as unsigned integer + 9) if ( vector [floor1\_class\_subclasses] element [i] is nonzero ) \{ - 10) vector [floor1_class_masterbooks] element [i] = read 8 bits as unsigned integer + 10) vector [floor1\_class\_masterbooks] element [i] = read 8 bits as unsigned integer \} - 11) iterate [j] over the range 0 ... (2 exponent [floor1_class_subclasses] element [i]) - 1 \{ + 11) iterate [j] over the range 0 ... (2 exponent [floor1\_class\_subclasses] element [i]) - 1 \{ - 12) array [floor1_subclass_books] element [i],[j] = + 12) array [floor1\_subclass\_books] element [i],[j] = read 8 bits as unsigned integer and subtract one \} \} - 13) [floor1_multiplier] = read 2 bits as unsigned integer and add one + 13) [floor1\_multiplier] = read 2 bits as unsigned integer and add one 14) [rangebits] = read 4 bits as unsigned integer - 15) vector [floor1_X_list] element [0] = 0 - 16) vector [floor1_X_list] element [1] = 2 exponent [rangebits]; - 17) [floor1_values] = 2 - 18) iterate [i] over the range 0 ... [floor1_partitions]-1 \{ - - 19) [current_class_number] = vector [floor1_partition_class_list] element [i] - 20) iterate [j] over the range 0 ... ([floor1_class_dimensions] element [current_class_number])-1 \{ - 21) vector [floor1_X_list] element ([floor1_values]) = + 15) vector [floor1\_X\_list] element [0] = 0 + 16) vector [floor1\_X\_list] element [1] = 2 exponent [rangebits]; + 17) [floor1\_values] = 2 + 18) iterate [i] over the range 0 ... [floor1\_partitions]-1 \{ + + 19) [current\_class\_number] = vector [floor1\_partition\_class\_list] element [i] + 20) iterate [j] over the range 0 ... ([floor1\_class\_dimensions] element [current\_class\_number])-1 \{ + 21) vector [floor1\_X\_list] element ([floor1\_values]) = read [rangebits] bits as unsigned integer - 22) increment [floor1_values] by one + 22) increment [floor1\_values] by one \} \} @@ -157,11 +157,11 @@ context. An end-of-packet condition while reading any aspect of a floor 1 configuration during setup renders a stream undecodable. In addition, -a \varname{[floor1_class_masterbooks]} or -\varname{[floor1_subclass_books]} scalar element greater than the +a \varname{[floor1\_class\_masterbooks]} or +\varname{[floor1\_subclass\_books]} scalar element greater than the highest numbered codebook configured in this stream is an error condition that renders the stream undecodable. All vector -[floor1_x_list] element values must be unique within the vector; a +[floor1\_x\_list] element values must be unique within the vector; a non-unique value renders the stream undecodable. \paragraph{packet decode} \label{vorbis:spec:floor1-decode} @@ -183,35 +183,35 @@ which happens to be approximately -140dB). Assuming \varname{[nonzero]} is set, decode proceeds as follows: \begin{Verbatim}[commandchars=\\\{\}] - 1) [range] = vector \{ 256, 128, 86, 64 \} element ([floor1_multiplier]-1) - 2) vector [floor1_Y] element [0] = read \link{vorbis:spec:ilog}{ilog}([range]-1) bits as unsigned integer - 3) vector [floor1_Y] element [1] = read \link{vorbis:spec:ilog}{ilog}([range]-1) bits as unsigned integer + 1) [range] = vector \{ 256, 128, 86, 64 \} element ([floor1\_multiplier]-1) + 2) vector [floor1\_Y] element [0] = read \link{vorbis:spec:ilog}{ilog}([range]-1) bits as unsigned integer + 3) vector [floor1\_Y] element [1] = read \link{vorbis:spec:ilog}{ilog}([range]-1) bits as unsigned integer 4) [offset] = 2; - 5) iterate [i] over the range 0 ... [floor1_partitions]-1 \{ + 5) iterate [i] over the range 0 ... [floor1\_partitions]-1 \{ - 6) [class] = vector [floor1_partition_class] element [i] - 7) [cdim] = vector [floor1_class_dimensions] element [class] - 8) [cbits] = vector [floor1_class_subclasses] element [class] + 6) [class] = vector [floor1\_partition\_class] element [i] + 7) [cdim] = vector [floor1\_class\_dimensions] element [class] + 8) [cbits] = vector [floor1\_class\_subclasses] element [class] 9) [csub] = (2 exponent [cbits])-1 10) [cval] = 0 11) if ( [cbits] is greater than zero ) \{ 12) [cval] = read from packet using codebook number - (vector [floor1_class_masterbooks] element [class]) in scalar context + (vector [floor1\_class\_masterbooks] element [class]) in scalar context \} 13) iterate [j] over the range 0 ... [cdim]-1 \{ - 14) [book] = array [floor1_subclass_books] element [class],([cval] bitwise AND [csub]) + 14) [book] = array [floor1\_subclass\_books] element [class],([cval] bitwise AND [csub]) 15) [cval] = [cval] right shifted [cbits] bits 16) if ( [book] is not less than zero ) \{ - 17) vector [floor1_Y] element ([j]+[offset]) = read from packet using codebook + 17) vector [floor1\_Y] element ([j]+[offset]) = read from packet using codebook [book] in scalar context \} else [book] is less than zero \{ - 18) vector [floor1_Y] element ([j]+[offset]) = 0 + 18) vector [floor1\_Y] element ([j]+[offset]) = 0 \} \} @@ -229,7 +229,7 @@ operation above, floor decode is to return 'unused' status as if the \varname{[nonzero]} flag had been unset at the beginning of decode. -Vector \varname{[floor1_Y]} contains the values from packet decode +Vector \varname{[floor1\_Y]} contains the values from packet decode needed for floor 1 synthesis. @@ -256,23 +256,23 @@ Unwrap the always-positive-or-zero values read from the packet into +/- difference values, then apply to line prediction. \begin{Verbatim}[commandchars=\\\{\}] - 1) [range] = vector \{ 256, 128, 86, 64 \} element ([floor1_multiplier]-1) - 2) vector [floor1_step2_flag] element [0] = set - 3) vector [floor1_step2_flag] element [1] = set - 4) vector [floor1_final_Y] element [0] = vector [floor1_Y] element [0] - 5) vector [floor1_final_Y] element [1] = vector [floor1_Y] element [1] - 6) iterate [i] over the range 2 ... [floor1_values]-1 \{ - - 7) [low_neighbor_offset] = \link{vorbis:spec:low:neighbor}{low_neighbor}([floor1_X_list],[i]) - 8) [high_neighbor_offset] = \link{vorbis:spec:high:neighbor}{high_neighbor}([floor1_X_list],[i]) - - 9) [predicted] = \link{vorbis:spec:render:point}{render_point}( vector [floor1_X_list] element [low_neighbor_offset], - vector [floor1_final_Y] element [low_neighbor_offset], - vector [floor1_X_list] element [high_neighbor_offset], - vector [floor1_final_Y] element [high_neighbor_offset], - vector [floor1_X_list] element [i] ) - - 10) [val] = vector [floor1_Y] element [i] + 1) [range] = vector \{ 256, 128, 86, 64 \} element ([floor1\_multiplier]-1) + 2) vector [floor1\_step2\_flag] element [0] = set + 3) vector [floor1\_step2\_flag] element [1] = set + 4) vector [floor1\_final\_Y] element [0] = vector [floor1\_Y] element [0] + 5) vector [floor1\_final\_Y] element [1] = vector [floor1\_Y] element [1] + 6) iterate [i] over the range 2 ... [floor1\_values]-1 \{ + + 7) [low\_neighbor\_offset] = \link{vorbis:spec:low:neighbor}{low\_neighbor}([floor1\_X\_list],[i]) + 8) [high\_neighbor\_offset] = \link{vorbis:spec:high:neighbor}{high\_neighbor}([floor1\_X\_list],[i]) + + 9) [predicted] = \link{vorbis:spec:render:point}{render\_point}( vector [floor1\_X\_list] element [low\_neighbor\_offset], + vector [floor1\_final\_Y] element [low\_neighbor\_offset], + vector [floor1\_X\_list] element [high\_neighbor\_offset], + vector [floor1\_final\_Y] element [high\_neighbor\_offset], + vector [floor1\_X\_list] element [i] ) + + 10) [val] = vector [floor1\_Y] element [i] 11) [highroom] = [range] - [predicted] 12) [lowroom] = [predicted] 13) if ( [highroom] is less than [lowroom] ) \{ @@ -287,18 +287,18 @@ Unwrap the always-positive-or-zero values read from the packet into 16) if ( [val] is nonzero ) \{ - 17) vector [floor1_step2_flag] element [low_neighbor_offset] = set - 18) vector [floor1_step2_flag] element [high_neighbor_offset] = set - 19) vector [floor1_step2_flag] element [i] = set + 17) vector [floor1\_step2\_flag] element [low\_neighbor\_offset] = set + 18) vector [floor1\_step2\_flag] element [high\_neighbor\_offset] = set + 19) vector [floor1\_step2\_flag] element [i] = set 20) if ( [val] is greater than or equal to [room] ) \{ 21) if ( [highroom] is greater than [lowroom] ) \{ - 22) vector [floor1_final_Y] element [i] = [val] - [lowroom] + [predicted] + 22) vector [floor1\_final\_Y] element [i] = [val] - [lowroom] + [predicted] \} else [highroom] is not greater than [lowroom] \{ - 23) vector [floor1_final_Y] element [i] = [predicted] - [val] + [highroom] - 1 + 23) vector [floor1\_final\_Y] element [i] = [predicted] - [val] + [highroom] - 1 \} @@ -306,12 +306,12 @@ Unwrap the always-positive-or-zero values read from the packet into 24) if ([val] is odd) \{ - 25) vector [floor1_final_Y] element [i] = + 25) vector [floor1\_final\_Y] element [i] = [predicted] - (([val] + 1) divided by 2 using integer division) \} else [val] is even \{ - 26) vector [floor1_final_Y] element [i] = + 26) vector [floor1\_final\_Y] element [i] = [predicted] + ([val] / 2 using integer division) \} @@ -320,8 +320,8 @@ Unwrap the always-positive-or-zero values read from the packet into \} else [val] is zero \{ - 27) vector [floor1_step2_flag] element [i] = unset - 28) vector [floor1_final_Y] element [i] = [predicted] + 27) vector [floor1\_step2\_flag] element [i] = unset + 28) vector [floor1\_final\_Y] element [i] = [predicted] \} @@ -338,18 +338,18 @@ Unwrap the always-positive-or-zero values read from the packet into Curve synthesis generates a return vector \varname{[floor]} of length \varname{[n]} (where \varname{[n]} is provided by the decode process calling to floor decode). Floor 1 curve synthesis makes use of the -\varname{[floor1_X_list]}, \varname{[floor1_final_Y]} and -\varname{[floor1_step2_flag]} vectors, as well as [floor1_multiplier] -and [floor1_values] values. +\varname{[floor1\_X\_list]}, \varname{[floor1\_final\_Y]} and +\varname{[floor1\_step2\_flag]} vectors, as well as [floor1\_multiplier] +and [floor1\_values] values. Decode begins by sorting the scalars from vectors -\varname{[floor1_X_list]}, \varname{[floor1_final_Y]} and -\varname{[floor1_step2_flag]} together into new vectors -\varname{[floor1_X_list]'}, \varname{[floor1_final_Y]'} and -\varname{[floor1_step2_flag]'} according to ascending sort order of the -values in \varname{[floor1_X_list]}. That is, sort the values of -\varname{[floor1_X_list]} and then apply the same permutation to -elements of the other two vectors so that the X, Y and step2_flag +\varname{[floor1\_X\_list]}, \varname{[floor1\_final\_Y]} and +\varname{[floor1\_step2\_flag]} together into new vectors +\varname{[floor1\_X\_list]'}, \varname{[floor1\_final\_Y]'} and +\varname{[floor1\_step2\_flag]'} according to ascending sort order of the +values in \varname{[floor1\_X\_list]}. That is, sort the values of +\varname{[floor1\_X\_list]} and then apply the same permutation to +elements of the other two vectors so that the X, Y and step2\_flag values still match. Then compute the final curve in one pass: @@ -357,14 +357,14 @@ Then compute the final curve in one pass: \begin{Verbatim}[commandchars=\\\{\}] 1) [hx] = 0 2) [lx] = 0 - 3) [ly] = vector [floor1_final_Y]' element [0] * [floor1_multiplier] - 4) iterate [i] over the range 1 ... [floor1_values]-1 \{ + 3) [ly] = vector [floor1\_final\_Y]' element [0] * [floor1\_multiplier] + 4) iterate [i] over the range 1 ... [floor1\_values]-1 \{ - 5) if ( [floor1_step2_flag]' element [i] is set ) \{ + 5) if ( [floor1\_step2\_flag]' element [i] is set ) \{ - 6) [hy] = [floor1_final_Y]' element [i] * [floor1_multiplier] - 7) [hx] = [floor1_X_list]' element [i] - 8) \link{vorbis:spec:render:line}{render_line}( [lx], [ly], [hx], [hy], [floor] ) + 6) [hy] = [floor1\_final\_Y]' element [i] * [floor1\_multiplier] + 7) [hx] = [floor1\_X\_list]' element [i] + 8) \link{vorbis:spec:render:line}{render\_line}( [lx], [ly], [hx], [hy], [floor] ) 9) [lx] = [hx] 10) [ly] = [hy] \} @@ -372,7 +372,7 @@ Then compute the final curve in one pass: 11) if ( [hx] is less than [n] ) \{ - 12) \link{vorbis:spec:render:line}{render_line}( [hx], [hy], [n], [hy], [floor] ) + 12) \link{vorbis:spec:render:line}{render\_line}( [hx], [hy], [n], [hy], [floor] ) \} @@ -383,7 +383,7 @@ Then compute the final curve in one pass: \} 15) for each scalar in vector [floor], perform a lookup substitution using - the scalar value from [floor] as an offset into the vector \link{vorbis:spec:floor1:inverse:dB:table}{[floor1_inverse_dB_static_table]} + the scalar value from [floor] as an offset into the vector \link{vorbis:spec:floor1:inverse:dB:table}{[floor1\_inverse\_dB\_static\_table]} 16) done diff --git a/doc/08-residue.tex b/doc/08-residue.tex index 767c1fa..b2e63d2 100644 --- a/doc/08-residue.tex +++ b/doc/08-residue.tex @@ -37,11 +37,11 @@ encoded and simply trusting that it is, is as follows: \begin{itemize} \item Each vector is partitioned into multiple equal sized chunks according to configuration specified. If we have a vector size of -\emph{n}, a partition size \emph{residue_partition_size}, and a total +\emph{n}, a partition size \emph{residue\_partition\_size}, and a total of \emph{ch} residue vectors, the total number of partitioned chunks -coded is \emph{n}/\emph{residue_partition_size}*\emph{ch}. It is +coded is \emph{n}/\emph{residue\_partition\_size}*\emph{ch}. It is important to note that the integer division truncates. In the below -example, we assume an example \emph{residue_partition_size} of 8. +example, we assume an example \emph{residue\_partition\_size} of 8. \item Each partition in each vector has a classification number that specifies which of multiple configured VQ codebook setups are used to @@ -156,48 +156,48 @@ vector to begin with, residue type 1 and type 2 are equivalent. Header decode for all three residue types is identical. \begin{programlisting} - 1) [residue_begin] = read 24 bits as unsigned integer - 2) [residue_end] = read 24 bits as unsigned integer - 3) [residue_partition_size] = read 24 bits as unsigned integer and add one - 4) [residue_classifications] = read 6 bits as unsigned integer and add one - 5) [residue_classbook] = read 8 bits as unsigned integer + 1) [residue\_begin] = read 24 bits as unsigned integer + 2) [residue\_end] = read 24 bits as unsigned integer + 3) [residue\_partition\_size] = read 24 bits as unsigned integer and add one + 4) [residue\_classifications] = read 6 bits as unsigned integer and add one + 5) [residue\_classbook] = read 8 bits as unsigned integer \end{programlisting} -\varname{[residue_begin]} and -\varname{[residue_end]} select the specific sub-portion of +\varname{[residue\_begin]} and +\varname{[residue\_end]} select the specific sub-portion of each vector that is actually coded; it implements akin to a bandpass where, for coding purposes, the vector effectively begins at element -\varname{[residue_begin]} and ends at -\varname{[residue_end]}. Preceding and following values in +\varname{[residue\_begin]} and ends at +\varname{[residue\_end]}. Preceding and following values in the unpacked vectors are zeroed. Note that for residue type 2, these -values as well as \varname{[residue_partition_size]}apply to +values as well as \varname{[residue\_partition\_size]}apply to the interleaved vector, not the individual vectors before interleave. -\varname{[residue_partition_size]} is as explained above, -\varname{[residue_classifications]} is the number of possible +\varname{[residue\_partition\_size]} is as explained above, +\varname{[residue\_classifications]} is the number of possible classification to which a partition can belong and -\varname{[residue_classbook]} is the codebook number used to +\varname{[residue\_classbook]} is the codebook number used to code classification codewords. The number of dimensions in book -\varname{[residue_classbook]} determines how many +\varname{[residue\_classbook]} determines how many classification values are grouped into a single classification codeword. Note that the number of entries and dimensions in book -\varname{[residue_classbook]}, along with -\varname{[residue_classifications]}, overdetermines to +\varname{[residue\_classbook]}, along with +\varname{[residue\_classifications]}, overdetermines to possible number of classification codewords. -If \varname{[residue_classifications]}\^{}\varname{[residue_classbook]}.dimensions -exceeds \varname{[residue_classbook]}.entries, the +If \varname{[residue\_classifications]}\^{}\varname{[residue\_classbook]}.dimensions +exceeds \varname{[residue\_classbook]}.entries, the bitstream should be regarded to be undecodable. Next we read a bitmap pattern that specifies which partition classes code values in which passes. \begin{programlisting} - 1) iterate [i] over the range 0 ... [residue_classifications]-1 { + 1) iterate [i] over the range 0 ... [residue\_classifications]-1 { - 2) [high_bits] = 0 - 3) [low_bits] = read 3 bits as unsigned integer + 2) [high\_bits] = 0 + 3) [low\_bits] = read 3 bits as unsigned integer 4) [bitflag] = read one bit as boolean - 5) if ( [bitflag] is set ) then [high_bits] = read five bits as unsigned integer - 6) vector [residue_cascade] element [i] = [high_bits] * 8 + [low_bits] + 5) if ( [bitflag] is set ) then [high\_bits] = read five bits as unsigned integer + 6) vector [residue\_cascade] element [i] = [high\_bits] * 8 + [low\_bits] } 7) done \end{programlisting} @@ -209,17 +209,17 @@ stages (8 in Vorbis I, as constrained by the elements of the cascade bitmap being eight bits): \begin{programlisting} - 1) iterate [i] over the range 0 ... [residue_classifications]-1 { + 1) iterate [i] over the range 0 ... [residue\_classifications]-1 { 2) iterate [j] over the range 0 ... 7 { - 3) if ( vector [residue_cascade] element [i] bit [j] is set ) { + 3) if ( vector [residue\_cascade] element [i] bit [j] is set ) { - 4) array [residue_books] element [i][j] = read 8 bits as unsigned integer + 4) array [residue\_books] element [i][j] = read 8 bits as unsigned integer } else { - 5) array [residue_books] element [i][j] = unused + 5) array [residue\_books] element [i][j] = unused } } @@ -231,9 +231,9 @@ bitmap being eight bits): An end-of-packet condition at any point in header decode renders the stream undecodable. In addition, any codebook number greater than the maximum numbered codebook set up in this stream also renders the -stream undecodable. All codebooks in array [residue_books] are +stream undecodable. All codebooks in array [residue\_books] are required to have a value mapping. The presence of codebook in array -[residue_books] without a value mapping (maptype equals zero) renders +[residue\_books] without a value mapping (maptype equals zero) renders the stream undecodable. @@ -252,46 +252,46 @@ passed in number of vectors is 3 and vector number 1 is marked 'do not decode', decode skips vector 1 during the decode loop. However, even 'do not decode' vectors are allocated and zeroed. -Depending on the values of \varname{[residue_begin]} and -\varname{[residue_end]}, it is obvious that the encoded +Depending on the values of \varname{[residue\_begin]} and +\varname{[residue\_end]}, it is obvious that the encoded portion of a residue vector may be the entire possible residue vector or some other strict subset of the actual residue vector size with zero padding at either uncoded end. However, it is also possible to -set \varname{[residue_begin]} and -\varname{[residue_end]} to specify a range partially or +set \varname{[residue\_begin]} and +\varname{[residue\_end]} to specify a range partially or wholly beyond the maximum vector size. Before beginning residue -decode, limit \varname{[residue_begin]} and -\varname{[residue_end]} to the maximum possible vector size +decode, limit \varname{[residue\_begin]} and +\varname{[residue\_end]} to the maximum possible vector size as follows. We assume that the number of vectors being encoded, \varname{[ch]} is provided by the higher level decoding process. \begin{programlisting} - 1) [actual_size] = current blocksize/2; + 1) [actual\_size] = current blocksize/2; 2) if residue encoding is format 2 - 3) [actual_size] = [actual_size] * [ch]; - 4) [limit_residue_begin] = maximum of ([residue_begin],[actual_size]); - 5) [limit_residue_end] = maximum of ([residue_end],[actual_size]); + 3) [actual\_size] = [actual\_size] * [ch]; + 4) [limit\_residue\_begin] = maximum of ([residue\_begin],[actual\_size]); + 5) [limit\_residue\_end] = maximum of ([residue\_end],[actual\_size]); \end{programlisting} The following convenience values are conceptually useful to clarifying the decode process: \begin{programlisting} - 1) [classwords_per_codeword] = [codebook_dimensions] value of codebook [residue_classbook] - 2) [n_to_read] = [limit_residue_end] - [limit_residue_begin] - 3) [partitions_to_read] = [n_to_read] / [residue_partition_size] + 1) [classwords\_per\_codeword] = [codebook\_dimensions] value of codebook [residue\_classbook] + 2) [n\_to\_read] = [limit\_residue\_end] - [limit\_residue\_begin] + 3) [partitions\_to\_read] = [n\_to\_read] / [residue\_partition\_size] \end{programlisting} Packet decode proceeds as follows, matching the description offered earlier in the document. \begin{programlisting} 1) allocate and zero all vectors that will be returned. - 2) if ([n_to_read] is zero), stop; there is no residue to decode. + 2) if ([n\_to\_read] is zero), stop; there is no residue to decode. 3) iterate [pass] over the range 0 ... 7 { - 4) [partition_count] = 0 + 4) [partition\_count] = 0 - 5) while [partition_count] is less than [partitions_to_read] + 5) while [partition\_count] is less than [partitions\_to\_read] 6) if ([pass] is zero) { @@ -299,12 +299,12 @@ Packet decode proceeds as follows, matching the description offered earlier in t 8) if vector [j] is not marked 'do not decode' { - 9) [temp] = read from packet using codebook [residue_classbook] in scalar context - 10) iterate [i] descending over the range [classwords_per_codeword]-1 ... 0 { + 9) [temp] = read from packet using codebook [residue\_classbook] in scalar context + 10) iterate [i] descending over the range [classwords\_per\_codeword]-1 ... 0 { - 11) array [classifications] element [j],([i]+[partition_count]) = - [temp] integer modulo [residue_classifications] - 12) [temp] = [temp] / [residue_classifications] using integer division + 11) array [classifications] element [j],([i]+[partition\_count]) = + [temp] integer modulo [residue\_classifications] + 12) [temp] = [temp] / [residue\_classifications] using integer division } @@ -314,24 +314,24 @@ Packet decode proceeds as follows, matching the description offered earlier in t } - 13) iterate [i] over the range 0 .. ([classwords_per_codeword] - 1) while [partition_count] - is also less than [partitions_to_read] { + 13) iterate [i] over the range 0 .. ([classwords\_per\_codeword] - 1) while [partition\_count] + is also less than [partitions\_to\_read] { 14) iterate [j] over the range 0 .. [ch]-1 { 15) if vector [j] is not marked 'do not decode' { - 16) [vqclass] = array [classifications] element [j],[partition_count] - 17) [vqbook] = array [residue_books] element [vqclass],[pass] + 16) [vqclass] = array [classifications] element [j],[partition\_count] + 17) [vqbook] = array [residue\_books] element [vqclass],[pass] 18) if ([vqbook] is not 'unused') { 19) decode partition into output vector number [j], starting at scalar - offset [limit_residue_begin]+[partition_count]*[residue_partition_size] using + offset [limit\_residue\_begin]+[partition\_count]*[residue\_partition\_size] using codebook number [vqbook] in VQ context } } - 20) increment [partition_count] by one + 20) increment [partition\_count] by one } } @@ -354,22 +354,22 @@ Format zero decodes partitions exactly as described earlier in the presents the same algorithm. Assume: \begin{itemize} -\item \varname{[n]} is the value in \varname{[residue_partition_size]} +\item \varname{[n]} is the value in \varname{[residue\_partition\_size]} \item \varname{[v]} is the residue vector \item \varname{[offset]} is the beginning read offset in [v] \end{itemize} \begin{programlisting} - 1) [step] = [n] / [codebook_dimensions] + 1) [step] = [n] / [codebook\_dimensions] 2) iterate [i] over the range 0 ... [step]-1 { - 3) vector [entry_temp] = read vector from packet using current codebook in VQ context - 4) iterate [j] over the range 0 ... [codebook_dimensions]-1 { + 3) vector [entry\_temp] = read vector from packet using current codebook in VQ context + 4) iterate [j] over the range 0 ... [codebook\_dimensions]-1 { 5) vector [v] element ([offset]+[i]+[j]*[step]) = vector [v] element ([offset]+[i]+[j]*[step]) + - vector [entry_temp] element [j] + vector [entry\_temp] element [j] } @@ -389,7 +389,7 @@ presents the same algorithm. Assume: \begin{itemize} \item \varname{[n]} is the value in -\varname{[residue_partition_size]} +\varname{[residue\_partition\_size]} \item \varname{[v]} is the residue vector \item \varname{[offset]} is the beginning read offset in [v] \end{itemize} @@ -397,12 +397,12 @@ presents the same algorithm. Assume: \begin{programlisting} 1) [i] = 0 - 2) vector [entry_temp] = read vector from packet using current codebook in VQ context - 3) iterate [j] over the range 0 ... [codebook_dimensions]-1 { + 2) vector [entry\_temp] = read vector from packet using current codebook in VQ context + 3) iterate [j] over the range 0 ... [codebook\_dimensions]-1 { 4) vector [v] element ([offset]+[i]) = vector [v] element ([offset]+[i]) + - vector [entry_temp] element [j] + vector [entry\_temp] element [j] 5) increment [i] } diff --git a/doc/09-helper.tex b/doc/09-helper.tex index 6e1bfe0..f2d964b 100644 --- a/doc/09-helper.tex +++ b/doc/09-helper.tex @@ -18,10 +18,10 @@ The "ilog(x)" function returns the position number (1 through n) of the highest \varname{[x]}. Values of \varname{[x]} less than zero are defined to return zero. \begin{programlisting} - 1) [return_value] = 0; + 1) [return\_value] = 0; 2) if ( [x] is greater than zero ) { - 3) increment [return_value]; + 3) increment [return\_value]; 4) logical shift [x] one bit to the right, padding the MSb with zero 5) repeat at step 2) @@ -45,9 +45,9 @@ Examples: -\subsubsection{float32_unpack} \label{vorbis:spec:float32:unpack} +\subsubsection{float32\_unpack} \label{vorbis:spec:float32:unpack} -"float32_unpack(x)" is intended to translate the packed binary +"float32\_unpack(x)" is intended to translate the packed binary representation of a Vorbis codebook float value into the representation used by the decoder for floating point numbers. For purposes of this example, we will unpack a Vorbis float32 into a @@ -63,40 +63,40 @@ host-native floating point number. -\subsubsection{lookup1_values} \label{vorbis:spec:lookup1:values} +\subsubsection{lookup1\_values} \label{vorbis:spec:lookup1:values} -"lookup1_values(codebook_entries,codebook_dimensions)" is used to +"lookup1\_values(codebook\_entries,codebook\_dimensions)" is used to compute the correct length of the value index for a codebook VQ lookup table of lookup type 1. The values on this list are permuted to construct the VQ vector lookup table of size -\varname{[codebook_entries]}. +\varname{[codebook\_entries]}. The return value for this function is defined to be 'the greatest -integer value for which \varname{[return_value]} to the power of -\varname{[codebook_dimensions]} is less than or equal to -\varname{[codebook_entries]}'. +integer value for which \varname{[return\_value]} to the power of +\varname{[codebook\_dimensions]} is less than or equal to +\varname{[codebook\_entries]}'. -\subsubsection{low_neighbor} \label{vorbis:spec:low:neighbor} +\subsubsection{low\_neighbor} \label{vorbis:spec:low:neighbor} -"low_neighbor(v,x)" finds the position \varname{n} in vector \varname{[v]} of +"low\_neighbor(v,x)" finds the position \varname{n} in vector \varname{[v]} of the greatest value scalar element for which \varname{n} is less than \varname{[x]} and vector \varname{[v]} element \varname{n} is less than vector \varname{[v]} element \varname{[x]}. -\subsubsection{high_neighbor} \label{vorbis:spec:high:neighbor} +\subsubsection{high\_neighbor} \label{vorbis:spec:high:neighbor} -"high_neighbor(v,x)" finds the position \varname{n} in vector [v] of +"high\_neighbor(v,x)" finds the position \varname{n} in vector [v] of the lowest value scalar element for which \varname{n} is less than \varname{[x]} and vector \varname{[v]} element \varname{n} is greater than vector \varname{[v]} element \varname{[x]}. -\subsubsection{render_point} \label{vorbis:spec:render:point} +\subsubsection{render\_point} \label{vorbis:spec:render:point} -"render_point(x0,y0,x1,y1,X)" is used to find the Y value at point X +"render\_point(x0,y0,x1,y1,X)" is used to find the Y value at point X along the line specified by x0, x1, y0 and y1. This function uses an integer algorithm to solve for the point directly without calculating intervening values along the line. @@ -122,10 +122,10 @@ intervening values along the line. -\subsubsection{render_line} \label{vorbis:spec:render:line} +\subsubsection{render\_line} \label{vorbis:spec:render:line} Floor decode type one uses the integer line drawing algorithm of -"render_line(x0, y0, x1, y1, v)" to construct an integer floor +"render\_line(x0, y0, x1, y1, v)" to construct an integer floor curve for contiguous piecewise line segments. Note that it has not been relevant elsewhere, but here we must define integer division as rounding division of both positive and negative numbers toward zero. diff --git a/doc/10-tables.tex b/doc/10-tables.tex index 2106a46..a65088b 100644 --- a/doc/10-tables.tex +++ b/doc/10-tables.tex @@ -5,7 +5,7 @@ \subsection{floor1\_inverse\_dB\_table} \label{vorbis:spec:floor1:inverse:dB:table} -The vector \varname{[floor1_inverse_dB_table]} is a 256 element static +The vector \varname{[floor1\_inverse\_dB\_table]} is a 256 element static lookup table consiting of the following values (read left to right then top to bottom): diff --git a/doc/Vorbis_I_spec.html b/doc/Vorbis_I_spec.html index 6e7fa02..bb13ae7 100644 --- a/doc/Vorbis_I_spec.html +++ b/doc/Vorbis_I_spec.html @@ -7,7 +7,7 @@ - + @@ -136,7 +136,7 @@ href="#x1-770004.3.6" id="QQ2-1-83">dot product
   4.3.7 inverse MDCT
   4.3.8 overlap˙add +href="#x1-790004.3.8" id="QQ2-1-85">overlap_add
   4.3.9 output channel order
 5 Functions
   9.2.1 ilog
   9.2.2 float32˙unpack +href="#x1-1180009.2.2" id="QQ2-1-130">float32_unpack
   9.2.3 lookup1˙values +href="#x1-1190009.2.3" id="QQ2-1-131">lookup1_values
   9.2.4 low˙neighbor +href="#x1-1200009.2.4" id="QQ2-1-132">low_neighbor
   9.2.5 high˙neighbor +href="#x1-1210009.2.5" id="QQ2-1-133">high_neighbor
   9.2.6 render˙point +href="#x1-1220009.2.6" id="QQ2-1-134">render_point
   9.2.7 render˙line +href="#x1-1230009.2.7" id="QQ2-1-135">render_line
 10 Tables
  10.1 1  the [codebook_multiplicands] [codebook\_multiplicands] array
2  [codebook_minimum_value] +class="cmtt-8"> [codebook\_minimum\_value]
3  [codebook_delta_value] +class="cmtt-8"> [codebook\_delta\_value]
4  [codebook_sequence_p] +class="cmtt-8"> [codebook\_sequence\_p]
5  [codebook_lookup_type] +class="cmtt-8"> [codebook\_lookup\_type]
6  [codebook_entries] +class="cmtt-8"> [codebook\_entries]
7  [codebook_dimensions] +class="cmtt-8"> [codebook\_dimensions]
8  [codebook_lookup_values] +class="cmtt-8"> [codebook\_lookup\_values]

Decoding (unpacking) a specific vector in the vector lookup table proceeds according to [packet_type]; check that packet type is 0 (audio)

  • read ilog([vorbis˙mode˙count]-1) bits ilog([vorbis_mode_count]-1) bits [mode_number]
  • [audio_channels]
  • [submap_number] = element [i] of vector [vorbis˙mapping˙mux] +class="cmtt-12">[i] of vector [vorbis_mapping_mux]
  • [floor_number] = element [submap_number] of vector [vorbis˙submap˙floor] +class="cmtt-12">[submap_number] of vector [vorbis_submap_floor]
  • if the floor type of this floor (vector @@ -4755,7 +4755,7 @@ href="#XSporer/Brandenburg/Edler">1]. The window function used for th earlier.

    4.3.8 overlap˙add
    + id="x1-790004.3.8">overlap_add

    Windowed MDCT output is overlapped and added with the right hand data of the previous window such that the 3/4 point of the previous window is aligned with the 1/4 point of the current window (as illustrated in 1  window_blocksize(previous_window)/4+window_blocksize(current_window)/4 +class="cmtt-8"> window\_blocksize(previous\_window)/4+window\_blocksize(current\_window)/4

    from the center (element windowsize/2) of the previous window to the center (element windowsize/2-1, inclusive) of the current window. @@ -4900,7 +4900,7 @@ class="cmtt-8">    1) [vendor_length] [vendor\_length] = read an    2) [vendor_string] [vendor\_string] = read a UTF-8 vector as [vendor_length] [vendor\_length] octets
        3) [user_comment_list_length] [user\_comment\_list\_length] = read an   4) iterate [user_comment_list_length] [user\_comment\_list\_length] times {
        7) [framing_bit] [framing\_bit] = read a  8) if ( [framing_bit] [framing\_bit] unset or end-of-packetLicense information, eg, ’All Rights Reserved’, a license such as a Creative Commons license (”www.creativecommons.org/blahblah/license.html”) or the EFF Open Audio License (’distributed under the terms of the Open Audio License. see - http://www.eff.org/IP/Open˙licenses/eff˙oal.html for details’), etc. + http://www.eff.org/IP/Open_licenses/eff_oal.html for details’), etc.

    ORGANIZATION
    [floor1_class_masterbooks] or [floor1_subclass_books] scalar element greater than the highest numbered codebook configured in this stream is an error condition that renders the stream undecodable. All vector -[floor1˙x˙list] element values must be unique within the vector; a non-unique value renders the +[floor1_x_list] element values must be unique within the vector; a non-unique value renders the stream undecodable.

    [n] is provided by class="cmtt-12">[floor1_X_list], [floor1_final_Y] and [floor1_step2_flag] vectors, as well as - [floor1˙multiplier] and [floor1˙values] values. + [floor1_multiplier] and [floor1_values] values. @@ -8559,8 +8559,8 @@ class="cmtt-12">[floor1_step2_flag]’ according to ascending sort or [floor1_X_list]. That is, sort the values of [floor1_X_list] and then apply the same - permutation to elements of the other two vectors so that the X, Y and step2˙flag values still - match. + permutation to elements of the other two vectors so that the X, Y and step2_flag values + still match.

    Then compute the final curve in one pass:

    @@ -9002,20 +9002,26 @@ the moment exactly how a partition is encoded and simply trusting that it is, is follows:

    The following convenience values are conceptually useful to clarifying the decode process:

    @@ -10060,13 +10066,13 @@ class="cmtt-8">    1) [classwords_per_codeword] [classwords\_per\_codeword] = [codebook_dimensions] [codebook\_dimensions] value of codebook [residue_classbook] +class="cmtt-8"> [residue\_classbook]
    2    2) [n_to_read] [n\_to\_read] = [limit_residue_end] [limit\_residue\_end] - [limit_residue_begin] +class="cmtt-8"> [limit\_residue\_begin]
    3    3) [partitions_to_read] [partitions\_to\_read] = [n_to_read] [n\_to\_read] / [residue_partition_size] +class="cmtt-8"> [residue\_partition\_size]

    Packet decode proceeds as follows, matching the description offered earlier in the document.

    @@ -10118,7 +10124,7 @@ class="cmtt-8">   2) if ([n_to_read] ([n\_to\_read] is zero), stop;    4) [partition_count] [partition\_count] = 0
       5) while [partition_count] [partition\_count] is less than [partitions_to_read] +class="cmtt-8"> [partitions\_to\_read]
    8 from packet using codebook [residue_classbook] [residue\_classbook] in scalar context @@ -10377,7 +10383,7 @@ class="cmtt-8"> descending over the range [classwords_per_codeword]-1 [classwords\_per\_codeword]-1 ... 0 { @@ -10425,7 +10431,7 @@ class="cmtt-8"> 11) array [classifications] element [j],([i]+[partition_count]) [j],([i]+[partition\_count]) =
      [temp] integer modulo [residue_classifications] +class="cmtt-8"> [residue\_classifications]
    20 [temp] = [temp] / [residue_classifications] [residue\_classifications] using integer division @@ -10672,11 +10678,11 @@ class="cmtt-8"> the range 0 .. ([classwords_per_codeword] ([classwords\_per\_codeword] - 1) while [partition_count] +class="cmtt-8"> [partition\_count]
    31 is also less than [partitions_to_read] [partitions\_to\_read] {
     = array [classifications] element [j],[partition_count] +class="cmtt-8"> [j],[partition\_count]
    38 17) [vqbook] = array [residue_books] [residue\_books] element [vqclass],[pass]
        offset [limit_residue_begin]+[partition_count]*[residue_partition_size] [limit\_residue\_begin]+[partition\_count]*[residue\_partition\_size] using
       20) increment [partition_count] [partition\_count] by one
     [step] = [n] / [codebook_dimensions] +class="cmtt-8"> [codebook\_dimensions]
    2   3) vector [entry_temp] [entry\_temp] = read vector the range 0 ... [codebook_dimensions]-1 [codebook\_dimensions]-1 {
        vector [entry_temp] [entry\_temp] element [j]
       2) vector [entry_temp] [entry\_temp] = read vector the range 0 ... [codebook_dimensions]-1 [codebook\_dimensions]-1 {
        vector [entry_temp] [entry\_temp] element [j]
        1) [return_value] [return\_value] = 0;
       3) increment [return_value]; +class="cmtt-8"> [return\_value];
    5 done
  • ilog(negative number) = 0;

    • 9.2.2 float32˙unpack
    -

    ”float32˙unpack(x)” is intended to translate the packed binary representation of a Vorbis + id="x1-1180009.2.2">float32_unpack +

    ”float32_unpack(x)” is intended to translate the packed binary representation of a Vorbis codebook float value into the representation used by the decoder for floating point numbers. For purposes of this example, we will unpack a Vorbis float32 into a host-native floating point number. @@ -12009,10 +12015,11 @@ class="cmtt-8"> )

    9.2.3 lookup1˙values
    -

    ”lookup1˙values(codebook˙entries,codebook˙dimensions)” is used to compute the correct length of -the value index for a codebook VQ lookup table of lookup type 1. The values on this list are -permuted to construct the VQ vector lookup table of size lookup1_values +

    ”lookup1_values(codebook_entries,codebook_dimensions)” is used to compute the +correct length of the value index for a codebook VQ lookup table of lookup type 1. +The values on this list are permuted to construct the VQ vector lookup table of size +[codebook_entries].

    The return value for this function is defined to be ’the greatest integer value for which [codebook_dimensions] is less than or equal to class="cmtt-12">[codebook_entries]’.

    9.2.4 low˙neighbor
    -

    ”low˙neighbor(v,x)” finds the position low_neighbor +

    ”low_neighbor(v,x)” finds the position n in vector [v] of the greatest value scalar element for which [v] element class="cmtt-12">[x].

    9.2.5 high˙neighbor
    -

    ”high˙neighbor(v,x)” finds the position high_neighbor +

    ”high_neighbor(v,x)” finds the position n in vector [v] of the lowest value scalar element for which n is less than [v] element class="cmtt-12">[x].

    9.2.6 render˙point
    -

    ”render˙point(x0,y0,x1,y1,X)” is used to find the Y value at point X along the line specified by + id="x1-1220009.2.6">render_point +

    ”render_point(x0,y0,x1,y1,X)” is used to find the Y value at point X along the line specified by x0, x1, y0 and y1. This function uses an integer algorithm to solve for the point directly without calculating intervening values along the line. -

    +

     done

    9.2.7 render˙line
    -

    Floor decode type one uses the integer line drawing algorithm of ”render˙line(x0, y0, x1, y1, v)” + id="x1-1230009.2.7">render_line +

    Floor decode type one uses the integer line drawing algorithm of ”render_line(x0, y0, x1, y1, v)” to construct an integer floor curve for contiguous piecewise line segments. Note that it has not been relevant elsewhere, but here we must define integer division as rounding division of both positive and negative numbers toward zero. @@ -12484,6 +12491,9 @@ class="cmtt-8"> [x0]+1 ... [x1]-1 { + + +
    23 = [err] + [ady]; - - -
    25> endobj 669 0 obj << -/Length 1531 +/Length 1539 /Filter /FlateDecode >> stream -xڝWKoã6¾çW訵õt{Ûn·Ý -u÷² F¢cÂ¥%¥dÝ_ßiˎÓMŠÑr¾yãà!ˆƒ_¯b÷}¿¾z÷1Ƀ$‰Vy΂õ&(YP&UÄâU°n‚/áý(K¶JÂqËG¢äxmˆàS†½1ò¾µl,IØ9©FhX³gµÜìén¯Ýwû V…B䪐 ®# 9ñý6ý'iǕƒ£…ö(¹GèvZ¡Æ­£¥£Å2ciøI-n׿ƒæË$‹²¬ éV™…üž´qx,í‹o†wC+~@ty(7tP÷öB#ž»× mAÚ(ZÚC¡ýc­ì¤â£hìc™7&>× -®‰t¶¶”»èôJ:þI.°I¦¤ÙŠæGTîàZÿýe}•Iä«¨,ª ³ˆ±,¨»«¯Wq´Ê²UeYæ´=Lc»0÷…ÍwŸº<øÐ_ÝÀß¹,ÿõ—^âr&òBÌ%eUYdå*ª疏òaB£¥¬óS݂/°[¾^hÑн-šþ6¸EfDJ¶ídFÍGÙ«‹¦üqj-Y…ˈ?Á-×í~Q±œ˜«PâëELÞB¢×òÜÜÒê(>Âìÿ½\¹°|ôFÀɛ:PÒño¦`X’§&0H‹áEÛ\y‚> -‚lHŽ ™p!žÓ˜‘´8 ew’î6©Êð}™†|Öæ¹#à*ÁžËÉ~deVKC$·þ·×iChUɺWô®;WD „"Õ*ͼYî¼#Ñz…9©“gi¸^Tì;‹Óð¨¹d0û2y‰‘}Ó°vÕ¯zælb{’ÖZÇ P¶îµÉ€.¨#Ègzïʏ¡ï¬Ú¢ÙXU„ƒîNˆÌŸ°ôATŽÄ¶2P qöXZ‰ätî1àÖ< žôÎ]Úë?B÷DÝKÿ u.n]ƒux뚖œŽ9Ðí$NTËIµ~)Q&µ™j¼¥§Ã ùS‘Iᐷ6\9^Ûº§Å8ie\Êo]ÆlUÁø"ø2ÂGÏ©æÀ½sϑָ‰ZG^‘yUøùrŠ£#ªƒ¥°}³ ;†Eg5´¾ž,‚º¦+6ÄðÈ@Úµ{Ú4;98/»‹Rщk}`HÎeC÷MHjaŒMØ<\o…{nˏÙx)îޅêv©ÏAÝ"¿ÃyãøT?Á=JÛÏ\}Ä/Á,0;ji0{irÞ¶C¬vdwš#RÝù¬››Þ½½O‹{é` |…~¡Bpçæî;òò1N|™ÀàééÏR{~Vø*€ -[6SqiWS‡Ý»äŒNZ tÂjÞ 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