| \section{\module{audioop} --- | 
 |          Manipulate raw audio data} | 
 |  | 
 | \declaremodule{builtin}{audioop} | 
 | \modulesynopsis{Manipulate raw audio data.} | 
 |  | 
 |  | 
 | The \module{audioop} module contains some useful operations on sound | 
 | fragments.  It operates on sound fragments consisting of signed | 
 | integer samples 8, 16 or 32 bits wide, stored in Python strings.  This | 
 | is the same format as used by the \refmodule{al} and \refmodule{sunaudiodev} | 
 | modules.  All scalar items are integers, unless specified otherwise. | 
 |  | 
 | % This para is mostly here to provide an excuse for the index entries... | 
 | This module provides support for u-LAW and Intel/DVI ADPCM encodings. | 
 | \index{Intel/DVI ADPCM} | 
 | \index{ADPCM, Intel/DVI} | 
 | \index{u-LAW} | 
 |  | 
 | A few of the more complicated operations only take 16-bit samples, | 
 | otherwise the sample size (in bytes) is always a parameter of the | 
 | operation. | 
 |  | 
 | The module defines the following variables and functions: | 
 |  | 
 | \begin{excdesc}{error} | 
 | This exception is raised on all errors, such as unknown number of bytes | 
 | per sample, etc. | 
 | \end{excdesc} | 
 |  | 
 | \begin{funcdesc}{add}{fragment1, fragment2, width} | 
 | Return a fragment which is the addition of the two samples passed as | 
 | parameters.  \var{width} is the sample width in bytes, either | 
 | \code{1}, \code{2} or \code{4}.  Both fragments should have the same | 
 | length. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{adpcm2lin}{adpcmfragment, width, state} | 
 | Decode an Intel/DVI ADPCM coded fragment to a linear fragment.  See | 
 | the description of \function{lin2adpcm()} for details on ADPCM coding. | 
 | Return a tuple \code{(\var{sample}, \var{newstate})} where the sample | 
 | has the width specified in \var{width}. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{adpcm32lin}{adpcmfragment, width, state} | 
 | Decode an alternative 3-bit ADPCM code.  See \function{lin2adpcm3()} | 
 | for details. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{avg}{fragment, width} | 
 | Return the average over all samples in the fragment. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{avgpp}{fragment, width} | 
 | Return the average peak-peak value over all samples in the fragment. | 
 | No filtering is done, so the usefulness of this routine is | 
 | questionable. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{bias}{fragment, width, bias} | 
 | Return a fragment that is the original fragment with a bias added to | 
 | each sample. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{cross}{fragment, width} | 
 | Return the number of zero crossings in the fragment passed as an | 
 | argument. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{findfactor}{fragment, reference} | 
 | Return a factor \var{F} such that | 
 | \code{rms(add(\var{fragment}, mul(\var{reference}, -\var{F})))} is | 
 | minimal, i.e., return the factor with which you should multiply | 
 | \var{reference} to make it match as well as possible to | 
 | \var{fragment}.  The fragments should both contain 2-byte samples. | 
 |  | 
 | The time taken by this routine is proportional to | 
 | \code{len(\var{fragment})}. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{findfit}{fragment, reference} | 
 | Try to match \var{reference} as well as possible to a portion of | 
 | \var{fragment} (which should be the longer fragment).  This is | 
 | (conceptually) done by taking slices out of \var{fragment}, using | 
 | \function{findfactor()} to compute the best match, and minimizing the | 
 | result.  The fragments should both contain 2-byte samples.  Return a | 
 | tuple \code{(\var{offset}, \var{factor})} where \var{offset} is the | 
 | (integer) offset into \var{fragment} where the optimal match started | 
 | and \var{factor} is the (floating-point) factor as per | 
 | \function{findfactor()}. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{findmax}{fragment, length} | 
 | Search \var{fragment} for a slice of length \var{length} samples (not | 
 | bytes!)\ with maximum energy, i.e., return \var{i} for which | 
 | \code{rms(fragment[i*2:(i+length)*2])} is maximal.  The fragments | 
 | should both contain 2-byte samples. | 
 |  | 
 | The routine takes time proportional to \code{len(\var{fragment})}. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{getsample}{fragment, width, index} | 
 | Return the value of sample \var{index} from the fragment. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{lin2lin}{fragment, width, newwidth} | 
 | Convert samples between 1-, 2- and 4-byte formats. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{lin2adpcm}{fragment, width, state} | 
 | Convert samples to 4 bit Intel/DVI ADPCM encoding.  ADPCM coding is an | 
 | adaptive coding scheme, whereby each 4 bit number is the difference | 
 | between one sample and the next, divided by a (varying) step.  The | 
 | Intel/DVI ADPCM algorithm has been selected for use by the IMA, so it | 
 | may well become a standard. | 
 |  | 
 | \var{state} is a tuple containing the state of the coder.  The coder | 
 | returns a tuple \code{(\var{adpcmfrag}, \var{newstate})}, and the | 
 | \var{newstate} should be passed to the next call of | 
 | \function{lin2adpcm()}.  In the initial call, \code{None} can be | 
 | passed as the state.  \var{adpcmfrag} is the ADPCM coded fragment | 
 | packed 2 4-bit values per byte. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{lin2adpcm3}{fragment, width, state} | 
 | This is an alternative ADPCM coder that uses only 3 bits per sample. | 
 | It is not compatible with the Intel/DVI ADPCM coder and its output is | 
 | not packed (due to laziness on the side of the author).  Its use is | 
 | discouraged. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{lin2ulaw}{fragment, width} | 
 | Convert samples in the audio fragment to u-LAW encoding and return | 
 | this as a Python string.  u-LAW is an audio encoding format whereby | 
 | you get a dynamic range of about 14 bits using only 8 bit samples.  It | 
 | is used by the Sun audio hardware, among others. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{minmax}{fragment, width} | 
 | Return a tuple consisting of the minimum and maximum values of all | 
 | samples in the sound fragment. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{max}{fragment, width} | 
 | Return the maximum of the \emph{absolute value} of all samples in a | 
 | fragment. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{maxpp}{fragment, width} | 
 | Return the maximum peak-peak value in the sound fragment. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{mul}{fragment, width, factor} | 
 | Return a fragment that has all samples in the original framgent | 
 | multiplied by the floating-point value \var{factor}.  Overflow is | 
 | silently ignored. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{ratecv}{fragment, width, nchannels, inrate, outrate, | 
 |                          state\optional{, weightA\optional{, weightB}}} | 
 | Convert the frame rate of the input fragment. | 
 |  | 
 | \var{state} is a tuple containing the state of the converter.  The | 
 | converter returns a tupl \code{(\var{newfragment}, \var{newstate})}, | 
 | and \var{newstate} should be passed to the next call of | 
 | \function{ratecv()}. | 
 |  | 
 | The \var{weightA} and \var{weightB} arguments are parameters for a | 
 | simple digital filter and default to \code{1} and \code{0} respectively. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{reverse}{fragment, width} | 
 | Reverse the samples in a fragment and returns the modified fragment. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{rms}{fragment, width} | 
 | Return the root-mean-square of the fragment, i.e. | 
 | \begin{displaymath} | 
 | \catcode`_=8 | 
 | \sqrt{\frac{\sum{{S_{i}}^{2}}}{n}} | 
 | \end{displaymath} | 
 | This is a measure of the power in an audio signal. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{tomono}{fragment, width, lfactor, rfactor}  | 
 | Convert a stereo fragment to a mono fragment.  The left channel is | 
 | multiplied by \var{lfactor} and the right channel by \var{rfactor} | 
 | before adding the two channels to give a mono signal. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{tostereo}{fragment, width, lfactor, rfactor} | 
 | Generate a stereo fragment from a mono fragment.  Each pair of samples | 
 | in the stereo fragment are computed from the mono sample, whereby left | 
 | channel samples are multiplied by \var{lfactor} and right channel | 
 | samples by \var{rfactor}. | 
 | \end{funcdesc} | 
 |  | 
 | \begin{funcdesc}{ulaw2lin}{fragment, width} | 
 | Convert sound fragments in u-LAW encoding to linearly encoded sound | 
 | fragments.  u-LAW encoding always uses 8 bits samples, so \var{width} | 
 | refers only to the sample width of the output fragment here. | 
 | \end{funcdesc} | 
 |  | 
 | Note that operations such as \function{mul()} or \function{max()} make | 
 | no distinction between mono and stereo fragments, i.e.\ all samples | 
 | are treated equal.  If this is a problem the stereo fragment should be | 
 | split into two mono fragments first and recombined later.  Here is an | 
 | example of how to do that: | 
 |  | 
 | \begin{verbatim} | 
 | def mul_stereo(sample, width, lfactor, rfactor): | 
 |     lsample = audioop.tomono(sample, width, 1, 0) | 
 |     rsample = audioop.tomono(sample, width, 0, 1) | 
 |     lsample = audioop.mul(sample, width, lfactor) | 
 |     rsample = audioop.mul(sample, width, rfactor) | 
 |     lsample = audioop.tostereo(lsample, width, 1, 0) | 
 |     rsample = audioop.tostereo(rsample, width, 0, 1) | 
 |     return audioop.add(lsample, rsample, width) | 
 | \end{verbatim} | 
 |  | 
 | If you use the ADPCM coder to build network packets and you want your | 
 | protocol to be stateless (i.e.\ to be able to tolerate packet loss) | 
 | you should not only transmit the data but also the state.  Note that | 
 | you should send the \var{initial} state (the one you passed to | 
 | \function{lin2adpcm()}) along to the decoder, not the final state (as | 
 | returned by the coder).  If you want to use \function{struct.struct()} | 
 | to store the state in binary you can code the first element (the | 
 | predicted value) in 16 bits and the second (the delta index) in 8. | 
 |  | 
 | The ADPCM coders have never been tried against other ADPCM coders, | 
 | only against themselves.  It could well be that I misinterpreted the | 
 | standards in which case they will not be interoperable with the | 
 | respective standards. | 
 |  | 
 | The \function{find*()} routines might look a bit funny at first sight. | 
 | They are primarily meant to do echo cancellation.  A reasonably | 
 | fast way to do this is to pick the most energetic piece of the output | 
 | sample, locate that in the input sample and subtract the whole output | 
 | sample from the input sample: | 
 |  | 
 | \begin{verbatim} | 
 | def echocancel(outputdata, inputdata): | 
 |     pos = audioop.findmax(outputdata, 800)    # one tenth second | 
 |     out_test = outputdata[pos*2:] | 
 |     in_test = inputdata[pos*2:] | 
 |     ipos, factor = audioop.findfit(in_test, out_test) | 
 |     # Optional (for better cancellation): | 
 |     # factor = audioop.findfactor(in_test[ipos*2:ipos*2+len(out_test)],  | 
 |     #              out_test) | 
 |     prefill = '\0'*(pos+ipos)*2 | 
 |     postfill = '\0'*(len(inputdata)-len(prefill)-len(outputdata)) | 
 |     outputdata = prefill + audioop.mul(outputdata,2,-factor) + postfill | 
 |     return audioop.add(inputdata, outputdata, 2) | 
 | \end{verbatim} |