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@ -1,4 +1,4 @@
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\section{Built-in module \sectcode{audioop}}
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\section{Built-in Module \sectcode{audioop}}
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\bimodindex{audioop}
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The \code{audioop} module contains some useful operations on sound fragments.
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@ -19,139 +19,139 @@ per sample, etc.
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\end{excdesc}
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\begin{funcdesc}{add}{fragment1\, fragment2\, width}
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This function returns a fragment which is the addition of the two samples
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passed as parameters. \var{width} is the sample width in bytes, either
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\code{1}, \code{2} or \code{4}. Both fragments should have the same length.
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Return a fragment which is the addition of the two samples passed as
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parameters. \var{width} is the sample width in bytes, either
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\code{1}, \code{2} or \code{4}. Both fragments should have the same
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length.
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\end{funcdesc}
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\begin{funcdesc}{adpcm2lin}{adpcmfragment\, width\, state}
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This routine decodes an Intel/DVI ADPCM coded fragment to a linear
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fragment. See the description of \code{lin2adpcm} for details on ADPCM
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coding. The routine returns a tuple
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\code{(\var{sample}, \var{newstate})}
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where the sample has the width specified in \var{width}.
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Decode an Intel/DVI ADPCM coded fragment to a linear fragment. See
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the description of \code{lin2adpcm} for details on ADPCM coding.
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Return a tuple \code{(\var{sample}, \var{newstate})} where the sample
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has the width specified in \var{width}.
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\end{funcdesc}
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\begin{funcdesc}{adpcm32lin}{adpcmfragment\, width\, state}
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This routine decodes an alternative 3-bit ADPCM code. See
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\code{lin2adpcm3} for details.
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Decode an alternative 3-bit ADPCM code. See \code{lin2adpcm3} for
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details.
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\end{funcdesc}
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\begin{funcdesc}{avg}{fragment\, width}
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This function returns the average over all samples in the fragment.
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Return the average over all samples in the fragment.
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\end{funcdesc}
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\begin{funcdesc}{avgpp}{fragment\, width}
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This function returns the average peak-peak value over all samples in
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the fragment. No filtering is done, so the usefulness of this routine
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is questionable.
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Return the average peak-peak value over all samples in the fragment.
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No filtering is done, so the usefulness of this routine is
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questionable.
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\end{funcdesc}
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\begin{funcdesc}{bias}{fragment\, width\, bias}
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This function returns a fragment that is the original fragment with a
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bias added to each sample.
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Return a fragment that is the original fragment with a bias added to
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each sample.
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\end{funcdesc}
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\begin{funcdesc}{cross}{fragment\, width}
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This function returns the number of zero crossings in the fragment
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passed as an argument.
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Return the number of zero crossings in the fragment passed as an
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argument.
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\end{funcdesc}
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\begin{funcdesc}{findfactor}{fragment\, reference}
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This routine (which only accepts 2-byte sample fragments) calculates a
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factor \var{F} such that \code{rms(add(fragment, mul(reference, -F)))}
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is minimal, i.e.\ it calculates the factor with which you should
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multiply \var{reference} to make it match as well as possible to
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\var{fragment}. The fragments should be the same size.
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Return a factor \var{F} such that
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\code{rms(add(fragment, mul(reference, -F)))} is minimal, i.e.,
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return the factor with which you should multiply \var{reference} to
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make it match as well as possible to \var{fragment}. The fragments
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should both contain 2-byte samples.
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The time taken by this routine is proportional to \code{len(fragment)}.
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\end{funcdesc}
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\begin{funcdesc}{findfit}{fragment\, reference}
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This routine (which only accepts 2-byte sample fragments) tries to
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match \var{reference} as well as possible to a portion of
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\var{fragment} (which should be the longer fragment). It
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(conceptually) does this by taking slices out of \var{fragment}, using
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This routine (which only accepts 2-byte sample fragments)
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Try to match \var{reference} as well as possible to a portion of
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\var{fragment} (which should be the longer fragment). This is
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(conceptually) done by taking slices out of \var{fragment}, using
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\code{findfactor} to compute the best match, and minimizing the
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result.
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It returns a tuple \code{(\var{offset}, \var{factor})} with \var{offset} the
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result. The fragments should both contain 2-byte samples. Return a
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tuple \code{(\var{offset}, \var{factor})} where \var{offset} is the
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(integer) offset into \var{fragment} where the optimal match started
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and \var{factor} the floating-point factor as per \code{findfactor}.
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and \var{factor} is the (floating-point) factor as per
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\code{findfactor}.
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\end{funcdesc}
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\begin{funcdesc}{findmax}{fragment\, length}
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This routine (which only accepts 2-byte sample fragments) searches
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\var{fragment} for a slice of length \var{length} samples (not bytes!)\
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with maximum energy, i.e.\ it returns \var{i} for which
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\code{rms(fragment[i*2:(i+length)*2])} is maximal.
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Search \var{fragment} for a slice of length \var{length} samples (not
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bytes!)\ with maximum energy, i.e., return \var{i} for which
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\code{rms(fragment[i*2:(i+length)*2])} is maximal. The fragments
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should both contain 2-byte samples.
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The routine takes time proportional to \code{len(fragment)}.
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\end{funcdesc}
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\begin{funcdesc}{getsample}{fragment\, width\, index}
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This function returns the value of sample \var{index} from the
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fragment.
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Return the value of sample \var{index} from the fragment.
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\end{funcdesc}
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\begin{funcdesc}{lin2lin}{fragment\, width\, newwidth}
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This function converts samples between 1-, 2- and 4-byte formats.
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Convert samples between 1-, 2- and 4-byte formats.
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\end{funcdesc}
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\begin{funcdesc}{lin2adpcm}{fragment\, width\, state}
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This function converts samples to 4 bit Intel/DVI ADPCM encoding.
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ADPCM coding is an adaptive coding scheme, whereby each 4 bit number
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is the difference between one sample and the next, divided by a
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(varying) step. The Intel/DVI ADPCM algorithm has been selected for
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use by the IMA, so it may well become a standard.
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Convert samples to 4 bit Intel/DVI ADPCM encoding. ADPCM coding is an
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adaptive coding scheme, whereby each 4 bit number is the difference
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between one sample and the next, divided by a (varying) step. The
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Intel/DVI ADPCM algorithm has been selected for use by the IMA, so it
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may well become a standard.
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\code{State} is a tuple containing the state of the coder. The coder
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\code{State} is a tuple containing the state of the coder. The coder
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returns a tuple \code{(\var{adpcmfrag}, \var{newstate})}, and the
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\var{newstate} should be passed to the next call of lin2adpcm. In the
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initial call \code{None} can be passed as the state. \var{adpcmfrag} is
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the ADPCM coded fragment packed 2 4-bit values per byte.
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initial call \code{None} can be passed as the state. \var{adpcmfrag}
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is the ADPCM coded fragment packed 2 4-bit values per byte.
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\end{funcdesc}
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\begin{funcdesc}{lin2adpcm3}{fragment\, width\, state}
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This is an alternative ADPCM coder that uses only 3 bits per sample.
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It is not compatible with the Intel/DVI ADPCM coder and its output is
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not packed (due to laziness on the side of the author). Its use is
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not packed (due to laziness on the side of the author). Its use is
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discouraged.
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\end{funcdesc}
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\begin{funcdesc}{lin2ulaw}{fragment\, width}
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This function converts samples in the audio fragment to U-LAW encoding
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and returns this as a Python string. U-LAW is an audio encoding format
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whereby you get a dynamic range of about 14 bits using only 8 bit
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samples. It is used by the Sun audio hardware, among others.
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Convert samples in the audio fragment to U-LAW encoding and return
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this as a Python string. U-LAW is an audio encoding format whereby
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you get a dynamic range of about 14 bits using only 8 bit samples. It
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is used by the Sun audio hardware, among others.
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\end{funcdesc}
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\begin{funcdesc}{minmax}{fragment\, width}
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This function returns a tuple consisting of the minimum and maximum
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values of all samples in the sound fragment.
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Return a tuple consisting of the minimum and maximum values of all
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samples in the sound fragment.
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\end{funcdesc}
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\begin{funcdesc}{max}{fragment\, width}
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This function returns the maximum of the {\em absolute value} of all
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samples in a fragment.
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Return the maximum of the {\em absolute value} of all samples in a
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fragment.
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\end{funcdesc}
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\begin{funcdesc}{maxpp}{fragment\, width}
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This function returns the maximum peak-peak value in the sound fragment.
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Return the maximum peak-peak value in the sound fragment.
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\end{funcdesc}
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\begin{funcdesc}{mul}{fragment\, width\, factor}
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Return a fragment that has all samples in the original framgent
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multiplied by the floating-point value \var{factor}. Overflow is
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multiplied by the floating-point value \var{factor}. Overflow is
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silently ignored.
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\end{funcdesc}
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\begin{funcdesc}{reverse}{fragment\, width}
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This function reverses the samples in a fragment and returns the
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modified fragment.
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Reverse the samples in a fragment and returns the modified fragment.
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\end{funcdesc}
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\begin{funcdesc}{rms}{fragment\, width\, factor}
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Returns the root-mean-square of the fragment, i.e.
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\begin{funcdesc}{rms}{fragment\, width}
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Return the root-mean-square of the fragment, i.e.
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\iftexi
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the square root of the quotient of the sum of all squared sample value,
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divided by the sumber of samples.
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\end{funcdesc}
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\begin{funcdesc}{tomono}{fragment\, width\, lfactor\, rfactor}
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This function converts a stereo fragment to a mono fragment. The left
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channel is multiplied by \var{lfactor} and the right channel by
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\var{rfactor} before adding the two channels to give a mono signal.
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Convert a stereo fragment to a mono fragment. The left channel is
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multiplied by \var{lfactor} and the right channel by \var{rfactor}
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before adding the two channels to give a mono signal.
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\end{funcdesc}
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\begin{funcdesc}{tostereo}{fragment\, width\, lfactor\, rfactor}
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This function generates a stereo fragment from a mono fragment. Each
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pair of samples in the stereo fragment are computed from the mono
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sample, whereby left channel samples are multiplied by \var{lfactor}
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and right channel samples by \var{rfactor}.
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Generate a stereo fragment from a mono fragment. Each pair of samples
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in the stereo fragment are computed from the mono sample, whereby left
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channel samples are multiplied by \var{lfactor} and right channel
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samples by \var{rfactor}.
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\end{funcdesc}
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\begin{funcdesc}{ulaw2lin}{fragment\, width}
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This function converts sound fragments in ULAW encoding to linearly
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encoded sound fragments. ULAW encoding always uses 8 bits samples, so
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\var{width} refers only to the sample width of the output fragment here.
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Convert sound fragments in ULAW encoding to linearly encoded sound
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fragments. ULAW encoding always uses 8 bits samples, so \var{width}
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refers only to the sample width of the output fragment here.
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\end{funcdesc}
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Note that operations such as \code{mul} or \code{max} make no
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If you use the ADPCM coder to build network packets and you want your
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protocol to be stateless (i.e.\ to be able to tolerate packet loss)
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you should not only transmit the data but also the state. Note that
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you should not only transmit the data but also the state. Note that
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you should send the \var{initial} state (the one you passed to
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\code{lin2adpcm}) along to the decoder, not the final state (as returned by
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the coder). If you want to use \code{struct} to store the state in
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the coder). If you want to use \code{struct} to store the state in
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binary you can code the first element (the predicted value) in 16 bits
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and the second (the delta index) in 8.
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The ADPCM coders have never been tried against other ADPCM coders,
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only against themselves. It could well be that I misinterpreted the
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only against themselves. It could well be that I misinterpreted the
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standards in which case they will not be interoperable with the
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respective standards.
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The \code{find...} routines might look a bit funny at first sight.
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They are primarily meant for doing echo cancellation. A reasonably
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They are primarily meant to do echo cancellation. A reasonably
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fast way to do this is to pick the most energetic piece of the output
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sample, locate that in the input sample and subtract the whole output
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sample from the input sample:
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