Commit 310ceebc authored by Ralph Giles's avatar Ralph Giles
Browse files

Put latex versions of equations as a separate alternate in a media object.

According to the docbook-xsl docs, this is the preferred method, and the
the results can be passed on to TeX or extracted for separate image generation.

svn path=/trunk/vorbis/; revision=4055
parent 25348260
<section id="vorbis-spec-floor0">
<sectioninfo>
<releaseinfo>
$Id: 06-floor0.xml,v 1.4 2002/10/14 18:20:30 giles Exp $
$Id: 06-floor0.xml,v 1.5 2002/10/26 15:43:57 giles Exp $
<emphasis>Last update to this document: July 19, 2002</emphasis>
</releaseinfo>
</sectioninfo>
......@@ -137,8 +137,9 @@ assuming the following definitions for the given vector to be
synthesized:</para>
<informalequation>
<alt>
[lsp map equation]
<mediaobject>
<textobject><phrase>[lsp map equation]</phrase></textobject>
<textobject role="tex"><phrase>
<![CDATA[
\begin{math}
\mathrm{map}_i = \left\{
......@@ -167,8 +168,9 @@ synthesized:</para>
\mathrm{bark}(x) = 13.1 \arctan (.00074x) + 2.24 \arctan (.0000000158x^2)+.0001x
\end{math}
]]>
</alt>
<graphic fileref="lspmap.png"/>
</phrase></textobject>
<imageobject><imagedata fileref="lspmap.png"/></imageobject>
</mediaobject>
</informalequation>
<para>
......@@ -183,16 +185,18 @@ Similarly, the below calculation synthesizes the output LSP curve <varname>[outp
<orderedlist>
<listitem><para>calculate <varname>[p]</varname> and <varname>[q]</varname> according to:
<informalequation>
<alt>
[equation for odd lsp]
<mediaobject>
<textobject><phrase>[equation for odd lsp]</phrase></textobject>
<textobject role="tex"><phrase>
<![CDATA[
\begin{eqnarray*}
p & = & (1 - \cos^2\omega)\prod_{j=0}^{(\mathtt{order}-3)/2} 4 (\cos c_{2j+1} - \cos \omega)^2 \\
q & = & \frac{1}{4} \prod_{j=0}^{(\mathtt{order}-1)/2} 4 (\cos c_{2j+1} - \cos \omega)^2
\end{eqnarray*}
]]>
</alt>
<graphic fileref="oddlsp.png"/>
</phrase></textobject>
<imageobject><imagedata fileref="oddlsp.png"/></imageobject>
</mediaobject>
</informalequation>
</para></listitem>
</orderedlist>
......@@ -200,16 +204,18 @@ Similarly, the below calculation synthesizes the output LSP curve <varname>[outp
<orderedlist>
<listitem><para>calculate <varname>[p]</varname> and <varname>[q]</varname> according to:
<informalequation>
<alt>
[equation for even lsp]
<mediaobject>
<textobject><phrase>[equation for even lsp]</phrase></textobject>
<textobject role="tex"><phrase>
<![CDATA[
\begin{eqnarray*}
p & = & \frac{(1 - \cos^2\omega)}{2} \prod_{j=0}^{(\mathtt{order}-2)/2} 4 (\cos c_{2j} - \cos \omega)^2 \\
q & = & \frac{(1 + \cos^2\omega)}{2} \prod_{j=0}^{(\mathtt{order}-2)/2} 4 (\cos c_{2j} - \cos \omega)^2
\end{eqnarray*}
]]>
</alt>
<graphic fileref="evenlsp.png"/>
</phrase></textobject>
<imageobject><imagedata fileref="evenlsp.png"/></imageobject>
</mediaobject>
</informalequation>
</para></listitem>
</orderedlist>
......@@ -217,16 +223,18 @@ Similarly, the below calculation synthesizes the output LSP curve <varname>[outp
</para></listitem>
<listitem><para>calculate <varname>[linear_floor_value]</varname> according to:
<informalequation>
<alt>
[expression for floorval]
<mediaobject>
<textobject><phrase>[expression for floorval]</phrase></textobject>
<textobject role="tex"><phrase>
<![CDATA[
\begin{math}
\exp \left( .11512925 \left(\frac{\mathtt{amplitude} \cdot \mathtt{floor0\_amplitute\_offset}}{(2^{\mathtt{floor0\_amplitude\_bits}}-1)\sqrt{p+q}}
- \mathtt{floor0\_amplitude\_offset} \right) \right)
\end{math}
]]>
</alt>
<graphic fileref="floorval.png"/>
</phrase></textobject>
<imageobject><imagedata fileref="floorval.png"/></imageobject>
</mediaobject>
</informalequation>
</para></listitem>
<listitem><simpara><varname>[iteration_condition]</varname> = map element <varname>[i]</varname></simpara></listitem>
......
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