Tcl Library Source Code

<td class="#doctools_idxleft" width="35%"><a name="key31"> file </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/tie/tie_std.html"> tie </a> &#183; <a href="tcllib/files/modules/tie/tie.html"> tie </a> &#183; <a href="tcllib/files/modules/uri/uri.html"> uri </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key116"> file recognition </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key118"> file type </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key115"> file utilities </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fileutil/fileutil.html"> fileutil </a> &#183; <a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a> &#183; <a href="tcllib/files/modules/fileutil/multi.html"> fileutil::multi </a> &#183; <a href="tcllib/files/modules/fileutil/multiop.html"> fileutil::multi::op </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key385"> filesystem </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/map/map_slippy_cache.html"> map::slippy::cache </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>

<td class="#doctools_idxleft" width="35%"><a name="key756"> method reference </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/tool/meta.html"> oo::util </a> &#183; <a href="tcllib/files/modules/ooutil/ooutil.html"> oo::util </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key230"> mime </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a> &#183; <a href="tcllib/files/modules/mime/mime.html"> mime </a> &#183; <a href="tcllib/files/modules/mime/smtp.html"> smtp </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key461"> minimal spanning tree </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/struct/graphops.html"> struct::graph::op </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>

</td></tr>
<tr class="#doctools_idxheader"><th colspan="2">
<a name="c17">Keywords: N</a>
</th></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key29"> name service </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/nns/nns_client.html"> nameserv </a> &#183; <a href="tcllib/files/modules/nns/nns_auto.html"> nameserv::auto </a> &#183; <a href="tcllib/files/modules/nns/nns_common.html"> nameserv::common </a> &#183; <a href="tcllib/files/modules/nns/nns_protocol.html"> nameserv::protocol </a> &#183; <a href="tcllib/files/modules/nns/nns_server.html"> nameserv::server </a> &#183; <a href="tcllib/files/apps/nns.html"> nns </a> &#183; <a href="tcllib/files/modules/nns/nns_intro.html"> nns_intro </a> &#183; <a href="tcllib/files/apps/nnsd.html"> nnsd </a> &#183; <a href="tcllib/files/apps/nnslog.html"> nnslog </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key86"> namespace unknown </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/namespacex/namespacex.html"> namespacex </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>

<td class="#doctools_idxleft" width="35%"><a name="key109"> serialization </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/bee/bee.html"> bee </a> &#183; <a href="tcllib/files/modules/doctools2idx/export_docidx.html"> doctools::idx::export::docidx </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_html.html"> doctools::idx::export::html </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_json.html"> doctools::idx::export::json </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_nroff.html"> doctools::idx::export::nroff </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_text.html"> doctools::idx::export::text </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_wiki.html"> doctools::idx::export::wiki </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_structure.html"> doctools::idx::structure </a> &#183; <a href="tcllib/files/modules/doctools2toc/export_doctoc.html"> doctools::toc::export::doctoc </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_html.html"> doctools::toc::export::html </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_json.html"> doctools::toc::export::json </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_nroff.html"> doctools::toc::export::nroff </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_text.html"> doctools::toc::export::text </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_wiki.html"> doctools::toc::export::wiki </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_structure.html"> doctools::toc::structure </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_export_container.html"> pt::peg::export::container </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_export_json.html"> pt::peg::export::json </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_export_peg.html"> pt::peg::export::peg </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_from_json.html"> pt::peg::from::json </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_from_peg.html"> pt::peg::from::peg </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_import_json.html"> pt::peg::import::json </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_import_peg.html"> pt::peg::import::peg </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_container.html"> pt::peg::to::container </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_cparam.html"> pt::peg::to::cparam </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_json.html"> pt::peg::to::json </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> &#183; <a href="tcllib/files/modules/struct/graph.html"> struct::graph </a> &#183; <a href="tcllib/files/modules/struct/struct_tree.html"> struct::tree </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key65"> server </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/map/map_geocode_nominatim.html"> map::geocode::nominatim </a> &#183; <a href="tcllib/files/modules/map/map_slippy_fetcher.html"> map::slippy::fetcher </a> &#183; <a href="tcllib/files/modules/nns/nns_common.html"> nameserv::common </a> &#183; <a href="tcllib/files/modules/nns/nns_server.html"> nameserv::server </a> &#183; <a href="tcllib/files/modules/nns/nns_intro.html"> nns_intro </a> &#183; <a href="tcllib/files/apps/nnsd.html"> nnsd </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key90"> service </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/log/logger.html"> logger </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>

<td class="#doctools_idxleft" width="35%"><a name="key839"> twitter </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/oauth/oauth.html"> oauth </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key117"> type </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fileutil/fileutil.html"> fileutil </a> &#183; <a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a> &#183; <a href="tcllib/files/modules/snit/snit.html"> snit </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key57"> Type checking </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/valtype/valtype_common.html"> valtype::common </a> &#183; <a href="tcllib/files/modules/valtype/cc_amex.html"> valtype::creditcard::amex </a> &#183; <a href="tcllib/files/modules/valtype/cc_discover.html"> valtype::creditcard::discover </a> &#183; <a href="tcllib/files/modules/valtype/cc_mastercard.html"> valtype::creditcard::mastercard </a> &#183; <a href="tcllib/files/modules/valtype/cc_visa.html"> valtype::creditcard::visa </a> &#183; <a href="tcllib/files/modules/valtype/ean13.html"> valtype::gs1::ean13 </a> &#183; <a href="tcllib/files/modules/valtype/iban.html"> valtype::iban </a> &#183; <a href="tcllib/files/modules/valtype/imei.html"> valtype::imei </a> &#183; <a href="tcllib/files/modules/valtype/isbn.html"> valtype::isbn </a> &#183; <a href="tcllib/files/modules/valtype/luhn.html"> valtype::luhn </a> &#183; <a href="tcllib/files/modules/valtype/luhn5.html"> valtype::luhn5 </a> &#183; <a href="tcllib/files/modules/valtype/usnpi.html"> valtype::usnpi </a> &#183; <a href="tcllib/files/modules/valtype/verhoeff.html"> valtype::verhoeff </a>
</td></tr>
<tr class="#doctools_idxheader"><th colspan="2">

</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>This package provides a command for the recognition of file types in
pure Tcl.</p>
<p>The core part of the recognizer was generated from a &quot;magic(5)&quot; file
containing the checks to perform to recognize files, and associated
file-types.</p>
<p><em>Beware!</em> This recognizer is large, about 276 Kilobyte of
generated Tcl code.</p>
<dl class="doctools_definitions">
<dt><a name="1"><b class="cmd">::fileutil::magic::filetype</b> <i class="arg">filename</i></a></dt>
<dd><p>This command is similar to the command <b class="cmd">fileutil::fileType</b>.</p>
<p>The output of the command for the specified file is a string
describing the type of the file.</p>
<p>This list will be empty if the type of the file is not recognized.</p></dd>
</dl>
</div>
<div id="section2" class="doctools_section"><h2><a name="section2">REFERENCES</a></h2>
<ol class="doctools_enumerated">
<li><p><a href="ftp://ftp.astron.com/pub/file/">File(1) sources</a>
This site contains the current sources for the file command, including
the magic definitions used by it. The latter were used by us to

<div class='fossil-doc' data-title='fileutil::magic::mimetype - file utilities'>
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 <hr> [
   <a href="../../../../toc.html">Main Table Of Contents</a>
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| <a href="../../../../index.html">Keyword Index</a>
| <a href="../../../../toc0.html">Categories</a>
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 ] <hr>
<div class="doctools">
<h1 class="doctools_title">fileutil::magic::mimetype(n) 1.0.2 tcllib &quot;file utilities&quot;</h1>
<div id="name" class="doctools_section"><h2><a name="name">Name</a></h2>
<p>fileutil::magic::mimetype - Procedures implementing mime-type recognition</p>
</div>
<div id="toc" class="doctools_section"><h2><a name="toc">Table Of Contents</a></h2>
<ul class="doctools_toc">
<li class="doctools_section"><a href="#toc">Table Of Contents</a></li>
<li class="doctools_section"><a href="#synopsis">Synopsis</a></li>
<li class="doctools_section"><a href="#section1">Description</a></li>
<li class="doctools_section"><a href="#section2">REFERENCES</a></li>
<li class="doctools_section"><a href="#section3">Bugs, Ideas, Feedback</a></li>
<li class="doctools_section"><a href="#see-also">See Also</a></li>
<li class="doctools_section"><a href="#keywords">Keywords</a></li>
<li class="doctools_section"><a href="#category">Category</a></li>
</ul>
</div>
<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl 8.4</b></li>
<li>package require <b class="pkgname">fileutil::magic::mimetype <span class="opt">?1.0.2?</span></b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::fileutil::magic::mimetype</b> <i class="arg">filename</i></a></li>
</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>This package provides a command for the recognition of file types in
pure Tcl. The output is standardized to mime-types.</p>
<p>The core part of the recognizer was generated from a &quot;magic(5)&quot; file
containing the checks to perform to recognize files, and associated
mime-types.</p>
<dl class="doctools_definitions">
<dt><a name="1"><b class="cmd">::fileutil::magic::mimetype</b> <i class="arg">filename</i></a></dt>
<dd><p>This command is similar to the command <b class="cmd">fileutil::fileType</b>.</p>
<p>The output of the command for the specified file is not a list of
attributes describing the type of the file, but a list of standard
mime-types the file may have.</p>
<p>This list will be empty if the type of the file is not recognized.</p></dd>
</dl>
</div>
<div id="section2" class="doctools_section"><h2><a name="section2">REFERENCES</a></h2>
<ol class="doctools_enumerated">
<li><p><a href="ftp://ftp.astron.com/pub/file/">File(1) sources</a>
This site contains the current sources for the file command, including
the magic definitions used by it. The latter were used by us to
generate this recognizer.</p></li>
</ol>
</div>
<div id="section3" class="doctools_section"><h2><a name="section3">Bugs, Ideas, Feedback</a></h2>
<p>This document, and the package it describes, will undoubtedly contain
bugs and other problems.
Please report such in the category <em>fileutil :: magic</em> of the
<a href="http://core.tcl.tk/tcllib/reportlist">Tcllib Trackers</a>.
Please also report any ideas for enhancements you may have for either
package and/or documentation.</p>
</div>
<div id="see-also" class="doctools_section"><h2><a name="see-also">See Also</a></h2>
<p>file(1), <a href="../fileutil/fileutil.html">fileutil</a>, magic(5)</p>
</div>
<div id="keywords" class="doctools_section"><h2><a name="keywords">Keywords</a></h2>
<p><a href="../../../../index.html#key116">file recognition</a>, <a href="../../../../index.html#key118">file type</a>, <a href="../../../../index.html#key115">file utilities</a>, <a href="../../../../index.html#key230">mime</a>, <a href="../../../../index.html#key117">type</a></p>
</div>
<div id="category" class="doctools_section"><h2><a name="category">Category</a></h2>
<p>Programming tools</p>
</div>
</div>

<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl 8.4</b></li>
<li>package require <b class="pkgname">fileutil::magic::rt <span class="opt">?1.0?</span></b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::fileutil::magic::rt::open</b> <i class="arg">filename</i></a></li>
<li><a href="#2"><b class="cmd">::fileutil::magic::rt::close</b></a></li>


<li><a href="#3"><b class="cmd">::fileutil::magic::rt::file_start</b> <i class="arg">name</i></a></li>
<li><a href="#4"><b class="cmd">::fileutil::magic::rt::result</b> <span class="opt">?<i class="arg">msg</i>?</span></a></li>
<li><a href="#5"><b class="cmd">::fileutil::magic::rt::resultv</b> <span class="opt">?<i class="arg">msg</i>?</span></a></li>
<li><a href="#6"><b class="cmd">::fileutil::magic::rt::emit</b> <i class="arg">msg</i></a></li>
<li><a href="#7"><b class="cmd">::fileutil::magic::rt::offset</b> <i class="arg">where</i></a></li>
<li><a href="#8"><b class="cmd">::fileutil::magic::rt::Nv</b> <i class="arg">type</i> <i class="arg">offset</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#9"><b class="cmd">::fileutil::magic::rt::N</b> <i class="arg">type</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#10"><b class="cmd">::fileutil::magic::rt::Nvx</b> <i class="arg">atlevel</i> <i class="arg">type</i> <i class="arg">offset</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#11"><b class="cmd">::fileutil::magic::rt::Nx</b> <i class="arg">atlevel</i> <i class="arg">type</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#12"><b class="cmd">::fileutil::magic::rt::S</b> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#13"><b class="cmd">::fileutil::magic::rt::Sx</b> <i class="arg">atlevel</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#14"><b class="cmd">::fileutil::magic::rt::L</b> <i class="arg">newlevel</i></a></li>
<li><a href="#15"><b class="cmd">::fileutil::magic::rt::I</b> <i class="arg">base</i> <i class="arg">type</i> <i class="arg">delta</i></a></li>
<li><a href="#16"><b class="cmd">::fileutil::magic::rt::R</b> <i class="arg">offset</i></a></li>

</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>This package provides the runtime core for file type recognition
engines written in pure Tcl and is thus used by all other packages in
this module, i.e. the two frontend packages
<b class="package">fileutil::magic::mimetypes</b> and
<b class="package">fileutil::magic::filetypes</b>, and the two engine compiler
packages <b class="package"><a href="cgen.html">fileutil::magic::cgen</a></b> and
<b class="package"><a href="cfront.html">fileutil::magic::cfront</a></b>.</p>
</div>
<div id="section2" class="doctools_section"><h2><a name="section2">COMMANDS</a></h2>
<dl class="doctools_definitions">
<dt><a name="1"><b class="cmd">::fileutil::magic::rt::open</b> <i class="arg">filename</i></a></dt>




<dd><p>This command initializes the runtime and prepares the file
<i class="arg">filename</i> for use by the system.
This command has to be invoked first, before any other command of this
package.</p>
<p>The command returns the channel handle of the opened file as its
result.</p></dd>
<dt><a name="2"><b class="cmd">::fileutil::magic::rt::close</b></a></dt>
<dd><p>This command closes the last file opened via
<b class="cmd">::fileutil::magic::rt::open</b> and shuts the runtime down.
This command has to be invoked last, after the file has been dealt
with completely.
Afterward another invokation of <b class="cmd">::fileutil::magic::rt::open</b>  is
required to process another file.</p>
<p>This command returns the empty string as its result.</p></dd>
<dt><a name="3"><b class="cmd">::fileutil::magic::rt::file_start</b> <i class="arg">name</i></a></dt>
<dd><p>This command marks the start of a magic file when debugging. It
returns the empty string as its result.</p></dd>
<dt><a name="4"><b class="cmd">::fileutil::magic::rt::result</b> <span class="opt">?<i class="arg">msg</i>?</span></a></dt>
<dd><p>This command returns the current result and stops processing.</p>
<p>If <i class="arg">msg</i> is specified its text is added to the result before it is
returned. See <b class="cmd">::fileutil::magic::rt::emit</b> for the allowed
special character sequences.</p></dd>
<dt><a name="5"><b class="cmd">::fileutil::magic::rt::resultv</b> <span class="opt">?<i class="arg">msg</i>?</span></a></dt>
<dd><p>This command returns the current result.
In contrast to <b class="cmd">::fileutil::magic::rt::result</b> processing
continues.</p>
<p>If <i class="arg">msg</i> is specified its text is added to the result before it is
returned. See <b class="cmd">::fileutil::magic::rt::emit</b> for the allowed
special character sequences.</p></dd>
<dt><a name="6"><b class="cmd">::fileutil::magic::rt::emit</b> <i class="arg">msg</i></a></dt>
<dd><p>This command adds the text <i class="arg">msg</i> to the result buffer. The
message may contain the following special character sequences. They
will be replaced with buffered values before the message is added to
the result. The command returns the empty string as its result.</p>
<dl class="doctools_definitions">
<dt><b class="const">\b</b></dt>
<dd><p>This sequence is removed</p></dd>
<dt><b class="const">%s</b></dt>
<dd><p>Replaced with the last buffered string value.</p></dd>
<dt><b class="const">%ld</b></dt>
<dd><p>Replaced with the last buffered numeric value.</p></dd>
<dt><b class="const">%d</b></dt>
<dd><p>See above.</p></dd>
</dl></dd>
<dt><a name="8"><b class="cmd">::fileutil::magic::rt::Nv</b> <i class="arg">type</i> <i class="arg">offset</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command fetches the numeric value with <i class="arg">type</i> from the
absolute location <i class="arg">offset</i> and returns it as its result. The
fetched value is further stored in the numeric buffer.</p>
<p>If <i class="arg">qual</i> is specified it is considered to be a mask and applied
to the fetched value before it is stored and returned. It has to have
the form of a partial Tcl bit-wise expression, i.e.</p>
<pre class="doctools_example">
	&amp; number
</pre>
<p>For example:</p>
<pre class="doctools_example">
	Nv lelong 0 &amp;0x8080ffff
</pre>
<p>For the possible types see section <span class="sectref"><a href="#section3">NUMERIC TYPES</a></span>.</p></dd>
<dt><a name="9"><b class="cmd">::fileutil::magic::rt::N</b> <i class="arg">type</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves mostly like <b class="cmd">::fileutil::magic::rt::Nv</b>,
except that it compares the fetched and masked value against <i class="arg">val</i>
as specified with <i class="arg">comp</i> and returns the result of that
comparison.</p>
<p>The argument <i class="arg">comp</i> has to contain one of Tcl's comparison
operators, and the comparison made will be</p>
<pre class="doctools_example">
	&lt;val&gt; &lt;comp&gt; &lt;fetched-and-masked-value&gt;
</pre>
<p>The special comparison operator <b class="const">x</b> signals that no comparison
should be done, or, in other words, that the fetched value will always
match <i class="arg">val</i>.</p></dd>
<dt><a name="10"><b class="cmd">::fileutil::magic::rt::Nvx</b> <i class="arg">atlevel</i> <i class="arg">type</i> <i class="arg">offset</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves like <b class="cmd">::fileutil::magic::rt::Nv</b>, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level <i class="arg">atlevel</i>, for later use by
<b class="cmd">::fileutil::magic::rt::R</b>.</p></dd>
<dt><a name="11"><b class="cmd">::fileutil::magic::rt::Nx</b> <i class="arg">atlevel</i> <i class="arg">type</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves like <b class="cmd">::fileutil::magic::rt::N</b>, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level <i class="arg">atlevel</i>, for later use by
<b class="cmd">::fileutil::magic::rt::R</b>.</p></dd>
<dt><a name="12"><b class="cmd">::fileutil::magic::rt::S</b> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves like <b class="cmd">::fileutil::magic::rt::N</b>, except that
it fetches and compares strings, not numeric data. The fetched value
is also stored in the internal string buffer instead of the numeric
buffer.</p></dd>
<dt><a name="13"><b class="cmd">::fileutil::magic::rt::Sx</b> <i class="arg">atlevel</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves like <b class="cmd">::fileutil::magic::rt::S</b>, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level <i class="arg">atlevel</i>, for later use by
<b class="cmd">::fileutil::magic::rt::R</b>.</p></dd>
<dt><a name="14"><b class="cmd">::fileutil::magic::rt::L</b> <i class="arg">newlevel</i></a></dt>
<dd><p>This command sets the current level in the calling context to
<i class="arg">newlevel</i>. The command returns the empty string as its result.</p></dd>
<dt><a name="15"><b class="cmd">::fileutil::magic::rt::I</b> <i class="arg">base</i> <i class="arg">type</i> <i class="arg">delta</i></a></dt>
<dd><p>This command handles base locations specified indirectly through the
contents of the inspected file. It returns the sum of <i class="arg">delta</i> and
the value of numeric <i class="arg">type</i> fetched from the absolute location
<i class="arg">base</i>.</p>
<p>For the possible types see section <span class="sectref"><a href="#section3">NUMERIC TYPES</a></span>.</p></dd>
<dt><a name="16"><b class="cmd">::fileutil::magic::rt::R</b> <i class="arg">offset</i></a></dt>
<dd><p>This command handles base locations specified relative to the end of
the last field one level above.</p>
<p>In other words, the command computes an absolute location in the file
based on the relative <i class="arg">offset</i> and returns it as its result. The
base the offset is added to is the last location remembered for the
level in the calling context.</p></dd>


</dl>
</div>
<div id="section3" class="doctools_section"><h2><a name="section3">NUMERIC TYPES</a></h2>
<dl class="doctools_definitions">
<dt><b class="const">byte</b></dt>
<dd><p>8-bit integer</p></dd>
<dt><b class="const">short</b></dt>

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 ] <hr>
<div class="doctools">
<h1 class="doctools_title">math::geometry(n) 1.1.3 tcllib &quot;Tcl Math Library&quot;</h1>
<div id="name" class="doctools_section"><h2><a name="name">Name</a></h2>
<p>math::geometry - Geometrical computations</p>
</div>
<div id="toc" class="doctools_section"><h2><a name="toc">Table Of Contents</a></h2>
<ul class="doctools_toc">
<li class="doctools_section"><a href="#toc">Table Of Contents</a></li>
<li class="doctools_section"><a href="#synopsis">Synopsis</a></li>
<li class="doctools_section"><a href="#section1">Description</a></li>
<li class="doctools_section"><a href="#section2">PROCEDURES</a></li>
<li class="doctools_section"><a href="#section3">References</a></li>
<li class="doctools_section"><a href="#section4">Bugs, Ideas, Feedback</a></li>
<li class="doctools_section"><a href="#keywords">Keywords</a></li>
<li class="doctools_section"><a href="#category">Category</a></li>
<li class="doctools_section"><a href="#copyright">Copyright</a></li>
</ul>
</div>
<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl <span class="opt">?8.3?</span></b></li>
<li>package require <b class="pkgname">math::geometry <span class="opt">?1.1.3?</span></b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::math::geometry::+</b> <i class="arg">point1</i> <i class="arg">point2</i></a></li>
<li><a href="#2"><b class="cmd">::math::geometry::-</b> <i class="arg">point1</i> <i class="arg">point2</i></a></li>
<li><a href="#3"><b class="cmd">::math::geometry::p</b> <i class="arg">x</i> <i class="arg">y</i></a></li>
<li><a href="#4"><b class="cmd">::math::geometry::distance</b> <i class="arg">point1</i> <i class="arg">point2</i></a></li>
<li><a href="#5"><b class="cmd">::math::geometry::length</b> <i class="arg">point</i></a></li>

<li><a href="#26"><b class="cmd">::math::geometry::findLineIntersection</b> <i class="arg">line1</i> <i class="arg">line2</i></a></li>
<li><a href="#27"><b class="cmd">::math::geometry::polylinesIntersect</b> <i class="arg">polyline1</i> <i class="arg">polyline2</i></a></li>
<li><a href="#28"><b class="cmd">::math::geometry::polylinesBoundingIntersect</b> <i class="arg">polyline1</i> <i class="arg">polyline2</i> <i class="arg">granularity</i></a></li>
<li><a href="#29"><b class="cmd">::math::geometry::intervalsOverlap</b> <i class="arg">y1</i> <i class="arg">y2</i> <i class="arg">y3</i> <i class="arg">y4</i> <i class="arg">strict</i></a></li>
<li><a href="#30"><b class="cmd">::math::geometry::rectanglesOverlap</b> <i class="arg">P1</i> <i class="arg">P2</i> <i class="arg">Q1</i> <i class="arg">Q2</i> <i class="arg">strict</i></a></li>
<li><a href="#31"><b class="cmd">::math::geometry::bbox</b> <i class="arg">polyline</i></a></li>
<li><a href="#32"><b class="cmd">::math::geometry::pointInsidePolygon</b> <i class="arg">P</i> <i class="arg">polyline</i></a></li>

<li><a href="#33"><b class="cmd">::math::geometry::rectangleInsidePolygon</b> <i class="arg">P1</i> <i class="arg">P2</i> <i class="arg">polyline</i></a></li>
<li><a href="#34"><b class="cmd">::math::geometry::areaPolygon</b> <i class="arg">polygon</i></a></li>





</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>The <b class="package">math::geometry</b> package is a collection of functions for
computations and manipulations on two-dimensional geometrical objects,
such as points, lines and polygons.</p>

polygon.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">P</i></dt>
<dd><p>Coordinates of the point</p></dd>
<dt>list <i class="arg">polyline</i></dt>
<dd><p>The polyline to be examined</p></dd>
</dl></dd>












<dt><a name="33"><b class="cmd">::math::geometry::rectangleInsidePolygon</b> <i class="arg">P1</i> <i class="arg">P2</i> <i class="arg">polyline</i></a></dt>
<dd><p>Determine if a rectangle is completely inside a polygon. If polygon
touches the rectangle, then the rectangle is not complete inside the
polygon.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">P1</i></dt>
<dd><p>Upper-left corner of the rectangle</p></dd>
<dt>list <i class="arg">P2</i></dt>
<dd><p>Lower-right corner of the rectangle</p></dd>
<dt>list <i class="arg">polygon</i></dt>
<dd><p>The polygon in question</p></dd>
</dl></dd>
<dt><a name="34"><b class="cmd">::math::geometry::areaPolygon</b> <i class="arg">polygon</i></a></dt>
<dd><p>Calculate the area of a polygon.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">polygon</i></dt>
<dd><p>The polygon in question</p></dd>




































</dl></dd>
</dl>
</div>
<div id="section3" class="doctools_section"><h2><a name="section3">References</a></h2>
<ol class="doctools_enumerated">
<li><p><a href="http:/wiki.tcl.tk/12070">Polygon Intersection</a></p></li>
<li><p><a href="http://en.wikipedia.org/wiki/Line-line_intersection">http://en.wikipedia.org/wiki/Line-line_intersection</a></p></li>

<li><a href="#12"><b class="cmd">::math::statistics::histogram-alt</b> <i class="arg">limits</i> <i class="arg">values</i> <span class="opt">?weights?</span></a></li>
<li><a href="#13"><b class="cmd">::math::statistics::corr</b> <i class="arg">data1</i> <i class="arg">data2</i></a></li>
<li><a href="#14"><b class="cmd">::math::statistics::interval-mean-stdev</b> <i class="arg">data</i> <i class="arg">confidence</i></a></li>
<li><a href="#15"><b class="cmd">::math::statistics::t-test-mean</b> <i class="arg">data</i> <i class="arg">est_mean</i> <i class="arg">est_stdev</i> <i class="arg">alpha</i></a></li>
<li><a href="#16"><b class="cmd">::math::statistics::test-normal</b> <i class="arg">data</i> <i class="arg">significance</i></a></li>
<li><a href="#17"><b class="cmd">::math::statistics::lillieforsFit</b> <i class="arg">data</i></a></li>
<li><a href="#18"><b class="cmd">::math::statistics::test-Duckworth</b> <i class="arg">list1</i> <i class="arg">list2</i> <i class="arg">significance</i></a></li>

<li><a href="#19"><b class="cmd">::math::statistics::quantiles</b> <i class="arg">data</i> <i class="arg">confidence</i></a></li>
<li><a href="#20"><b class="cmd">::math::statistics::quantiles</b> <i class="arg">limits</i> <i class="arg">counts</i> <i class="arg">confidence</i></a></li>
<li><a href="#21"><b class="cmd">::math::statistics::autocorr</b> <i class="arg">data</i></a></li>
<li><a href="#22"><b class="cmd">::math::statistics::crosscorr</b> <i class="arg">data1</i> <i class="arg">data2</i></a></li>
<li><a href="#23"><b class="cmd">::math::statistics::mean-histogram-limits</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></li>
<li><a href="#24"><b class="cmd">::math::statistics::minmax-histogram-limits</b> <i class="arg">min</i> <i class="arg">max</i> <i class="arg">number</i></a></li>
<li><a href="#25"><b class="cmd">::math::statistics::linear-model</b> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">intercept</i></a></li>
<li><a href="#26"><b class="cmd">::math::statistics::linear-residuals</b> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">intercept</i></a></li>
<li><a href="#27"><b class="cmd">::math::statistics::test-2x2</b> <i class="arg">n11</i> <i class="arg">n21</i> <i class="arg">n12</i> <i class="arg">n22</i></a></li>
<li><a href="#28"><b class="cmd">::math::statistics::print-2x2</b> <i class="arg">n11</i> <i class="arg">n21</i> <i class="arg">n12</i> <i class="arg">n22</i></a></li>
<li><a href="#29"><b class="cmd">::math::statistics::control-xbar</b> <i class="arg">data</i> <span class="opt">?nsamples?</span></a></li>
<li><a href="#30"><b class="cmd">::math::statistics::control-Rchart</b> <i class="arg">data</i> <span class="opt">?nsamples?</span></a></li>
<li><a href="#31"><b class="cmd">::math::statistics::test-xbar</b> <i class="arg">control</i> <i class="arg">data</i></a></li>
<li><a href="#32"><b class="cmd">::math::statistics::test-Rchart</b> <i class="arg">control</i> <i class="arg">data</i></a></li>
<li><a href="#33"><b class="cmd">::math::statistics::test-Kruskal-Wallis</b> <i class="arg">confidence</i> <i class="arg">args</i></a></li>
<li><a href="#34"><b class="cmd">::math::statistics::analyse-Kruskal-Wallis</b> <i class="arg">args</i></a></li>
<li><a href="#35"><b class="cmd">::math::statistics::group-rank</b> <i class="arg">args</i></a></li>
<li><a href="#36"><b class="cmd">::math::statistics::test-Wilcoxon</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></li>
<li><a href="#37"><b class="cmd">::math::statistics::spearman-rank</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></li>
<li><a href="#38"><b class="cmd">::math::statistics::spearman-rank-extended</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></li>
<li><a href="#39"><b class="cmd">::math::statistics::kernel-density</b> <i class="arg">data</i> opt <i class="arg">-option value</i> ...</a></li>
<li><a href="#40"><b class="cmd">::math::statistics::tstat</b> <i class="arg">dof</i> <span class="opt">?alpha?</span></a></li>
<li><a href="#41"><b class="cmd">::math::statistics::mv-wls</b> <i class="arg">wt1</i> <i class="arg">weights_and_values</i></a></li>
<li><a href="#42"><b class="cmd">::math::statistics::mv-ols</b> <i class="arg">values</i></a></li>
<li><a href="#43"><b class="cmd">::math::statistics::pdf-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></li>
<li><a href="#44"><b class="cmd">::math::statistics::pdf-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></li>
<li><a href="#45"><b class="cmd">::math::statistics::pdf-exponential</b> <i class="arg">mean</i> <i class="arg">value</i></a></li>
<li><a href="#46"><b class="cmd">::math::statistics::pdf-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">value</i></a></li>
<li><a href="#47"><b class="cmd">::math::statistics::pdf-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">value</i></a></li>
<li><a href="#48"><b class="cmd">::math::statistics::pdf-poisson</b> <i class="arg">mu</i> <i class="arg">k</i></a></li>
<li><a href="#49"><b class="cmd">::math::statistics::pdf-chisquare</b> <i class="arg">df</i> <i class="arg">value</i></a></li>
<li><a href="#50"><b class="cmd">::math::statistics::pdf-student-t</b> <i class="arg">df</i> <i class="arg">value</i></a></li>
<li><a href="#51"><b class="cmd">::math::statistics::pdf-gamma</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></li>
<li><a href="#52"><b class="cmd">::math::statistics::pdf-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></li>
<li><a href="#53"><b class="cmd">::math::statistics::pdf-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></li>
<li><a href="#54"><b class="cmd">::math::statistics::pdf-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></li>
<li><a href="#55"><b class="cmd">::math::statistics::pdf-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></li>
<li><a href="#56"><b class="cmd">::math::statistics::pdf-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></li>
<li><a href="#57"><b class="cmd">::math::statistics::cdf-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></li>
<li><a href="#58"><b class="cmd">::math::statistics::cdf-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></li>
<li><a href="#59"><b class="cmd">::math::statistics::cdf-exponential</b> <i class="arg">mean</i> <i class="arg">value</i></a></li>
<li><a href="#60"><b class="cmd">::math::statistics::cdf-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">value</i></a></li>
<li><a href="#61"><b class="cmd">::math::statistics::cdf-students-t</b> <i class="arg">degrees</i> <i class="arg">value</i></a></li>
<li><a href="#62"><b class="cmd">::math::statistics::cdf-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">value</i></a></li>
<li><a href="#63"><b class="cmd">::math::statistics::cdf-poisson</b> <i class="arg">mu</i> <i class="arg">k</i></a></li>
<li><a href="#64"><b class="cmd">::math::statistics::cdf-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></li>
<li><a href="#65"><b class="cmd">::math::statistics::cdf-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></li>
<li><a href="#66"><b class="cmd">::math::statistics::cdf-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></li>
<li><a href="#67"><b class="cmd">::math::statistics::cdf-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></li>
<li><a href="#68"><b class="cmd">::math::statistics::cdf-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></li>

<li><a href="#69"><b class="cmd">::math::statistics::empirical-distribution</b> <i class="arg">values</i></a></li>
<li><a href="#70"><b class="cmd">::math::statistics::random-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></li>
<li><a href="#71"><b class="cmd">::math::statistics::random-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></li>
<li><a href="#72"><b class="cmd">::math::statistics::random-exponential</b> <i class="arg">mean</i> <i class="arg">number</i></a></li>
<li><a href="#73"><b class="cmd">::math::statistics::random-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">number</i></a></li>
<li><a href="#74"><b class="cmd">::math::statistics::random-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">number</i></a></li>
<li><a href="#75"><b class="cmd">::math::statistics::random-poisson</b> <i class="arg">mu</i> <i class="arg">number</i></a></li>
<li><a href="#76"><b class="cmd">::math::statistics::random-chisquare</b> <i class="arg">df</i> <i class="arg">number</i></a></li>
<li><a href="#77"><b class="cmd">::math::statistics::random-student-t</b> <i class="arg">df</i> <i class="arg">number</i></a></li>
<li><a href="#78"><b class="cmd">::math::statistics::random-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">number</i></a></li>
<li><a href="#79"><b class="cmd">::math::statistics::random-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">number</i></a></li>
<li><a href="#80"><b class="cmd">::math::statistics::random-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">number</i></a></li>
<li><a href="#81"><b class="cmd">::math::statistics::random-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">number</i></a></li>
<li><a href="#82"><b class="cmd">::math::statistics::random-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">number</i></a></li>
<li><a href="#83"><b class="cmd">::math::statistics::histogram-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">limits</i> <i class="arg">number</i></a></li>
<li><a href="#84"><b class="cmd">::math::statistics::incompleteGamma</b> <i class="arg">x</i> <i class="arg">p</i> <span class="opt">?tol?</span></a></li>
<li><a href="#85"><b class="cmd">::math::statistics::incompleteBeta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">x</i> <span class="opt">?tol?</span></a></li>
<li><a href="#86"><b class="cmd">::math::statistics::estimate-pareto</b> <i class="arg">values</i></a></li>
<li><a href="#87"><b class="cmd">::math::statistics::filter</b> <i class="arg">varname</i> <i class="arg">data</i> <i class="arg">expression</i></a></li>
<li><a href="#88"><b class="cmd">::math::statistics::map</b> <i class="arg">varname</i> <i class="arg">data</i> <i class="arg">expression</i></a></li>
<li><a href="#89"><b class="cmd">::math::statistics::samplescount</b> <i class="arg">varname</i> <i class="arg">list</i> <i class="arg">expression</i></a></li>
<li><a href="#90"><b class="cmd">::math::statistics::subdivide</b></a></li>
<li><a href="#91"><b class="cmd">::math::statistics::plot-scale</b> <i class="arg">canvas</i> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">ymin</i> <i class="arg">ymax</i></a></li>
<li><a href="#92"><b class="cmd">::math::statistics::plot-xydata</b> <i class="arg">canvas</i> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">tag</i></a></li>
<li><a href="#93"><b class="cmd">::math::statistics::plot-xyline</b> <i class="arg">canvas</i> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">tag</i></a></li>
<li><a href="#94"><b class="cmd">::math::statistics::plot-tdata</b> <i class="arg">canvas</i> <i class="arg">tdata</i> <i class="arg">tag</i></a></li>
<li><a href="#95"><b class="cmd">::math::statistics::plot-tline</b> <i class="arg">canvas</i> <i class="arg">tdata</i> <i class="arg">tag</i></a></li>
<li><a href="#96"><b class="cmd">::math::statistics::plot-histogram</b> <i class="arg">canvas</i> <i class="arg">counts</i> <i class="arg">limits</i> <i class="arg">tag</i></a></li>
</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>The <b class="package">math::statistics</b> package contains functions and procedures for
basic statistical data analysis, such as:</p>
<ul class="doctools_itemized">

<dt>list <i class="arg">list1</i></dt>
<dd><p>- First list of data</p></dd>
<dt>list <i class="arg">list2</i></dt>
<dd><p>- Second list of data</p></dd>
<dt>float <i class="arg">significance</i></dt>
<dd><p>- Significance level (either 0.05, 0.01 or 0.001)</p></dd>
</dl></dd>

















<dt><a name="19"><b class="cmd">::math::statistics::quantiles</b> <i class="arg">data</i> <i class="arg">confidence</i></a></dt>
<dd><p>Return the quantiles for a given set of data</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of raw data values</p></dd>
<dt>float <i class="arg">confidence</i></dt>
<dd><p>- Confidence level (0.95 or 0.99 for instance) or a list of confidence levels.</p></dd>
</dl></dd>
<dt><a name="20"><b class="cmd">::math::statistics::quantiles</b> <i class="arg">limits</i> <i class="arg">counts</i> <i class="arg">confidence</i></a></dt>
<dd><p>Return the quantiles based on histogram information (alternative to the
call with two arguments)</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">limits</i></dt>
<dd><p>- List of upper limits from histogram</p></dd>
<dt>list <i class="arg">counts</i></dt>
<dd><p>- List of counts for for each interval in histogram</p></dd>
<dt>float <i class="arg">confidence</i></dt>
<dd><p>-  Confidence level (0.95 or 0.99 for instance) or a list of confidence levels.</p></dd>
</dl></dd>
<dt><a name="21"><b class="cmd">::math::statistics::autocorr</b> <i class="arg">data</i></a></dt>
<dd><p>Return the autocorrelation function as a list of values (assuming
equidistance between samples, about 1/2 of the number of raw data)</p>
<p>The correlation is determined in such a way that the first value is
always 1 and all others are equal to or smaller than 1. The number of
values involved will diminish as the &quot;time&quot; (the index in the list of
returned values) increases</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data</i></dt>
<dd><p>- Raw data for which the autocorrelation must be determined</p></dd>
</dl></dd>
<dt><a name="22"><b class="cmd">::math::statistics::crosscorr</b> <i class="arg">data1</i> <i class="arg">data2</i></a></dt>
<dd><p>Return the cross-correlation function as a list of values (assuming
equidistance between samples, about 1/2 of the number of raw data)</p>
<p>The correlation is determined in such a way that the values can never
exceed 1 in magnitude. The number of values involved will diminish
as the &quot;time&quot; (the index in the list of returned values) increases.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data1</i></dt>
<dd><p>- First list of data</p></dd>
<dt>list <i class="arg">data2</i></dt>
<dd><p>- Second list of data</p></dd>
</dl></dd>
<dt><a name="23"><b class="cmd">::math::statistics::mean-histogram-limits</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></dt>
<dd><p>Determine reasonable limits based on mean and standard deviation
for a histogram
Convenience function - the result is suitable for the histogram function.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean of the data</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of limits to generate (defaults to 8)</p></dd>
</dl></dd>
<dt><a name="24"><b class="cmd">::math::statistics::minmax-histogram-limits</b> <i class="arg">min</i> <i class="arg">max</i> <i class="arg">number</i></a></dt>
<dd><p>Determine reasonable limits based on a minimum and maximum for a histogram</p>
<p>Convenience function - the result is suitable for the histogram function.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">min</i></dt>
<dd><p>- Expected minimum</p></dd>
<dt>float <i class="arg">max</i></dt>
<dd><p>- Expected maximum</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of limits to generate (defaults to 8)</p></dd>
</dl></dd>
<dt><a name="25"><b class="cmd">::math::statistics::linear-model</b> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">intercept</i></a></dt>
<dd><p>Determine the coefficients for a linear regression between
two series of data (the model: Y = A + B*X). Returns a list of
parameters describing the fit</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">xdata</i></dt>
<dd><p>- List of independent data</p></dd>
<dt>list <i class="arg">ydata</i></dt>

<li><p>Number of degrees of freedom df</p></li>
<li><p>Standard error of the intercept A</p></li>
<li><p>Significance level of A</p></li>
<li><p>Standard error of the slope B</p></li>
<li><p>Significance level of B</p></li>
</ul></dd>
</dl></dd>
<dt><a name="26"><b class="cmd">::math::statistics::linear-residuals</b> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">intercept</i></a></dt>
<dd><p>Determine the difference between actual data and predicted from
the linear model.</p>
<p>Returns a list of the differences between the actual data and the
predicted values.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">xdata</i></dt>
<dd><p>- List of independent data</p></dd>
<dt>list <i class="arg">ydata</i></dt>
<dd><p>- List of dependent data to be fitted</p></dd>
<dt>boolean <i class="arg">intercept</i></dt>
<dd><p>- (Optional) compute the intercept (1, default) or fit
to a line through the origin (0)</p></dd>
</dl></dd>
<dt><a name="27"><b class="cmd">::math::statistics::test-2x2</b> <i class="arg">n11</i> <i class="arg">n21</i> <i class="arg">n12</i> <i class="arg">n22</i></a></dt>
<dd><p>Determine if two set of samples, each from a binomial distribution,
differ significantly or not (implying a different parameter).</p>
<p>Returns the &quot;chi-square&quot; value, which can be used to the determine the
significance.</p>
<dl class="doctools_arguments">
<dt>int <i class="arg">n11</i></dt>
<dd><p>- Number of outcomes with the first value from the first sample.</p></dd>
<dt>int <i class="arg">n21</i></dt>
<dd><p>- Number of outcomes with the first value from the second sample.</p></dd>
<dt>int <i class="arg">n12</i></dt>
<dd><p>- Number of outcomes with the second value from the first sample.</p></dd>
<dt>int <i class="arg">n22</i></dt>
<dd><p>- Number of outcomes with the second value from the second sample.</p></dd>
</dl></dd>
<dt><a name="28"><b class="cmd">::math::statistics::print-2x2</b> <i class="arg">n11</i> <i class="arg">n21</i> <i class="arg">n12</i> <i class="arg">n22</i></a></dt>
<dd><p>Determine if two set of samples, each from a binomial distribution,
differ significantly or not (implying a different parameter).</p>
<p>Returns a short report, useful in an interactive session.</p>
<dl class="doctools_arguments">
<dt>int <i class="arg">n11</i></dt>
<dd><p>- Number of outcomes with the first value from the first sample.</p></dd>
<dt>int <i class="arg">n21</i></dt>
<dd><p>- Number of outcomes with the first value from the second sample.</p></dd>
<dt>int <i class="arg">n12</i></dt>
<dd><p>- Number of outcomes with the second value from the first sample.</p></dd>
<dt>int <i class="arg">n22</i></dt>
<dd><p>- Number of outcomes with the second value from the second sample.</p></dd>
</dl></dd>
<dt><a name="29"><b class="cmd">::math::statistics::control-xbar</b> <i class="arg">data</i> <span class="opt">?nsamples?</span></a></dt>
<dd><p>Determine the control limits for an xbar chart. The number of data
in each subsample defaults to 4. At least 20 subsamples are required.</p>
<p>Returns the mean, the lower limit, the upper limit and the number of
data per subsample.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of observed data</p></dd>
<dt>int <i class="arg">nsamples</i></dt>
<dd><p>- Number of data per subsample</p></dd>
</dl></dd>
<dt><a name="30"><b class="cmd">::math::statistics::control-Rchart</b> <i class="arg">data</i> <span class="opt">?nsamples?</span></a></dt>
<dd><p>Determine the control limits for an R chart. The number of data
in each subsample (nsamples) defaults to 4. At least 20 subsamples are required.</p>
<p>Returns the mean range, the lower limit, the upper limit and the number
of data per subsample.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of observed data</p></dd>
<dt>int <i class="arg">nsamples</i></dt>
<dd><p>- Number of data per subsample</p></dd>
</dl></dd>
<dt><a name="31"><b class="cmd">::math::statistics::test-xbar</b> <i class="arg">control</i> <i class="arg">data</i></a></dt>
<dd><p>Determine if the data exceed the control limits for the xbar chart.</p>
<p>Returns a list of subsamples (their indices) that indeed violate the
limits.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">control</i></dt>
<dd><p>- Control limits as returned by the &quot;control-xbar&quot; procedure</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of observed data</p></dd>
</dl></dd>
<dt><a name="32"><b class="cmd">::math::statistics::test-Rchart</b> <i class="arg">control</i> <i class="arg">data</i></a></dt>
<dd><p>Determine if the data exceed the control limits for the R chart.</p>
<p>Returns a list of subsamples (their indices) that indeed violate the
limits.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">control</i></dt>
<dd><p>- Control limits as returned by the &quot;control-Rchart&quot; procedure</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of observed data</p></dd>
</dl></dd>
<dt><a name="33"><b class="cmd">::math::statistics::test-Kruskal-Wallis</b> <i class="arg">confidence</i> <i class="arg">args</i></a></dt>
<dd><p>Check if the population medians of two or more groups are equal with a
given confidence level, using the Kruskal-Wallis test.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">confidence</i></dt>
<dd><p>- Confidence level to be used (0-1)</p></dd>
<dt>list <i class="arg">args</i></dt>
<dd><p>- Two or more lists of data</p></dd>
</dl></dd>
<dt><a name="34"><b class="cmd">::math::statistics::analyse-Kruskal-Wallis</b> <i class="arg">args</i></a></dt>
<dd><p>Compute the statistical parameters for the Kruskal-Wallis test.
Returns the Kruskal-Wallis statistic and the probability that that
value would occur assuming the medians of the populations are
equal.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">args</i></dt>
<dd><p>- Two or more lists of data</p></dd>
</dl></dd>
<dt><a name="35"><b class="cmd">::math::statistics::group-rank</b> <i class="arg">args</i></a></dt>
<dd><p>Rank the groups of data with respect to the complete set.
Returns a list consisting of the group ID, the value and the rank
(possibly a rational number, in case of ties) for each data item.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">args</i></dt>
<dd><p>- Two or more lists of data</p></dd>
</dl></dd>
<dt><a name="36"><b class="cmd">::math::statistics::test-Wilcoxon</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></dt>
<dd><p>Compute the Wilcoxon test statistic to determine if two samples have the
same median or not. (The statistic can be regarded as standard normal, if the
sample sizes are both larger than 10. Returns the value of this statistic.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">sample_a</i></dt>
<dd><p>- List of data comprising the first sample</p></dd>
<dt>list <i class="arg">sample_b</i></dt>
<dd><p>- List of data comprising the second sample</p></dd>
</dl></dd>
<dt><a name="37"><b class="cmd">::math::statistics::spearman-rank</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></dt>
<dd><p>Return the Spearman rank correlation as an alternative to the ordinary (Pearson's) correlation
coefficient. The two samples should have the same number of data.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">sample_a</i></dt>
<dd><p>- First list of data</p></dd>
<dt>list <i class="arg">sample_b</i></dt>
<dd><p>- Second list of data</p></dd>
</dl></dd>
<dt><a name="38"><b class="cmd">::math::statistics::spearman-rank-extended</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></dt>
<dd><p>Return the Spearman rank correlation as an alternative to the ordinary (Pearson's) correlation
coefficient as well as additional data. The two samples should have the same number of data.
The procedure returns the correlation coefficient, the number of data pairs used and the
z-score, an approximately standard normal statistic, indicating the significance of the correlation.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">sample_a</i></dt>
<dd><p>- First list of data</p></dd>
<dt>list <i class="arg">sample_b</i></dt>
<dd><p>- Second list of data</p></dd>
</dl></dd>
<dt><a name="39"><b class="cmd">::math::statistics::kernel-density</b> <i class="arg">data</i> opt <i class="arg">-option value</i> ...</a></dt>
<dd><p>]
Return the density function based on kernel density estimation. The procedure is controlled by
a small set of options, each of which is given a reasonable default.</p>
<p>The return value consists of three lists: the centres of the bins, the associated probability
density and a list of computational parameters (begin and end of the interval, mean and standard
deviation and the used bandwidth). The computational parameters can be used for further analysis.</p>
<dl class="doctools_arguments">

<p>In addition to these two, it provides a procedure (tstat)
for calculating the value of the t-statistic for the specified number of
degrees of freedom that is required to demonstrate a given level of
significance.</p>
<p>Note: These procedures depend on the math::linearalgebra package.</p>
<p><em>Description of the procedures</em></p>
<dl class="doctools_definitions">
<dt><a name="40"><b class="cmd">::math::statistics::tstat</b> <i class="arg">dof</i> <span class="opt">?alpha?</span></a></dt>
<dd><p>Returns the value of the t-distribution t* satisfying</p>
<pre class="doctools_example">
    P(t*)  =  1 - alpha/2
    P(-t*) =  alpha/2
</pre>
<p>for the number of degrees of freedom dof.</p>
<p>Given a sample of normally-distributed data x, with an

the given confidence level.</p>
<dl class="doctools_arguments">
<dt>int <i class="arg">dof</i></dt>
<dd><p>Number of degrees of freedom</p></dd>
<dt>float <i class="arg">alpha</i></dt>
<dd><p>Confidence level of the t-distribution. Defaults to 0.05.</p></dd>
</dl></dd>
<dt><a name="41"><b class="cmd">::math::statistics::mv-wls</b> <i class="arg">wt1</i> <i class="arg">weights_and_values</i></a></dt>
<dd><p>Carries out a weighted least squares linear regression for
the data points provided, with weights assigned to each point.</p>
<p>The linear model is of the form</p>
<pre class="doctools_example">
    y = b0 + b1 * x1 + b2 * x2 ... + bN * xN + error
</pre>
<p>and each point satisfies</p>

<dt>list <i class="arg">weights_and_values</i></dt>
<dd><p>A list consisting of: the weight for the first observation, the data
for the first observation (as a sublist), the weight for the second
observation (as a sublist) and so on. The sublists of data are organised
as lists of the value of the dependent variable y and the independent
variables x1, x2 to xN.</p></dd>
</dl></dd>
<dt><a name="42"><b class="cmd">::math::statistics::mv-ols</b> <i class="arg">values</i></a></dt>
<dd><p>Carries out an ordinary least squares linear regression for
the data points provided.</p>
<p>This procedure simply calls ::mvlinreg::wls with the weights
set to 1.0, and returns the same information.</p></dd>
</dl>
<p><em>Example of the use:</em></p>
<pre class="doctools_example">

<li><p>The chi-square distribution</p></li>
<li><p>The student's T distribution</p></li>
<li><p>The Poisson distribution</p></li>
<li><p>The Pareto distribution</p></li>
<li><p>The Gumbel distribution</p></li>
<li><p>The Weibull distribution</p></li>
<li><p>The Cauchy distribution</p></li>

<li><p>PM - binomial,F.</p></li>
</ul>
<p>In principle for each distribution one has procedures for:</p>
<ul class="doctools_itemized">
<li><p>The probability density (pdf-*)</p></li>
<li><p>The cumulative density (cdf-*)</p></li>
<li><p>Quantiles for the given distribution (quantiles-*)</p></li>
<li><p>Histograms for the given distribution (histogram-*)</p></li>
<li><p>List of random values with the given distribution (random-*)</p></li>
</ul>
<p>The following procedures have been implemented:</p>
<dl class="doctools_definitions">
<dt><a name="43"><b class="cmd">::math::statistics::pdf-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a normal distribution with
given mean and standard deviation.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="44"><b class="cmd">::math::statistics::pdf-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a log-normal distribution with
given mean and standard deviation.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="45"><b class="cmd">::math::statistics::pdf-exponential</b> <i class="arg">mean</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for an exponential
distribution with given mean.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="46"><b class="cmd">::math::statistics::pdf-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a uniform
distribution with given extremes.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum value of the distribution</p></dd>
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Maximum value of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="47"><b class="cmd">::math::statistics::pdf-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Gamma
distribution with given shape and rate parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">alpha</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">beta</i></dt>
<dd><p>- Rate parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="48"><b class="cmd">::math::statistics::pdf-poisson</b> <i class="arg">mu</i> <i class="arg">k</i></a></dt>
<dd><p>Return the probability of a given number of occurrences in the same
interval (k) for a Poisson distribution with given mean (mu)</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mu</i></dt>
<dd><p>- Mean number of occurrences</p></dd>
<dt>int <i class="arg">k</i></dt>
<dd><p>- Number of occurences</p></dd>
</dl></dd>
<dt><a name="49"><b class="cmd">::math::statistics::pdf-chisquare</b> <i class="arg">df</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a chi square
distribution with given degrees of freedom</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">df</i></dt>
<dd><p>- Degrees of freedom</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="50"><b class="cmd">::math::statistics::pdf-student-t</b> <i class="arg">df</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Student's t
distribution with given degrees of freedom</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">df</i></dt>
<dd><p>- Degrees of freedom</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="51"><b class="cmd">::math::statistics::pdf-gamma</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Gamma
distribution with given shape and rate parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Rate parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="52"><b class="cmd">::math::statistics::pdf-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Beta
distribution with given shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- First shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Second shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="53"><b class="cmd">::math::statistics::pdf-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Weibull
distribution with given scale and shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="54"><b class="cmd">::math::statistics::pdf-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Gumbel
distribution with given location and shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="55"><b class="cmd">::math::statistics::pdf-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Pareto
distribution with given scale and shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="56"><b class="cmd">::math::statistics::pdf-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Cauchy
distribution with given location and shape parameters. Note that the Cauchy distribution
has no finite higher-order moments.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="57"><b class="cmd">::math::statistics::cdf-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a normal
distribution with given mean and standard deviation, that is the
probability for values up to the given one.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="58"><b class="cmd">::math::statistics::cdf-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a log-normal
distribution with given mean and standard deviation, that is the
probability for values up to the given one.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="59"><b class="cmd">::math::statistics::cdf-exponential</b> <i class="arg">mean</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for an exponential
distribution with given mean.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="60"><b class="cmd">::math::statistics::cdf-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a uniform
distribution with given extremes.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum value of the distribution</p></dd>
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Maximum value of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="61"><b class="cmd">::math::statistics::cdf-students-t</b> <i class="arg">degrees</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Student's t
distribution with given number of degrees.</p>
<dl class="doctools_arguments">
<dt>int <i class="arg">degrees</i></dt>
<dd><p>- Number of degrees of freedom</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="62"><b class="cmd">::math::statistics::cdf-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Gamma
distribution with given shape and rate parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">alpha</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">beta</i></dt>
<dd><p>- Rate parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the cumulative probability is required</p></dd>
</dl></dd>
<dt><a name="63"><b class="cmd">::math::statistics::cdf-poisson</b> <i class="arg">mu</i> <i class="arg">k</i></a></dt>
<dd><p>Return the cumulative probability of a given number of occurrences in
the same interval (k) for a Poisson distribution with given mean (mu).</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mu</i></dt>
<dd><p>- Mean number of occurrences</p></dd>
<dt>int <i class="arg">k</i></dt>
<dd><p>- Number of occurences</p></dd>
</dl></dd>
<dt><a name="64"><b class="cmd">::math::statistics::cdf-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Beta
distribution with given shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- First shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Second shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="65"><b class="cmd">::math::statistics::cdf-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Weibull
distribution with given scale and shape parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="66"><b class="cmd">::math::statistics::cdf-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Gumbel
distribution with given location and scale parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="67"><b class="cmd">::math::statistics::cdf-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Pareto
distribution with given scale and shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="68"><b class="cmd">::math::statistics::cdf-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Cauchy
distribution with given location and scale parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>











<dt><a name="69"><b class="cmd">::math::statistics::empirical-distribution</b> <i class="arg">values</i></a></dt>
<dd><p>Return a list of values and their empirical probability. The values are sorted in increasing order.
(The implementation follows the description at the corresponding Wikipedia page)</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">values</i></dt>
<dd><p>- List of data to be examined</p></dd>
</dl></dd>
<dt><a name="70"><b class="cmd">::math::statistics::random-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying a normal
distribution with given mean and standard deviation.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="71"><b class="cmd">::math::statistics::random-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying a log-normal
distribution with given mean and standard deviation.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="72"><b class="cmd">::math::statistics::random-exponential</b> <i class="arg">mean</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying an exponential
distribution with given mean.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="73"><b class="cmd">::math::statistics::random-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying a uniform
distribution with given extremes.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum value of the distribution</p></dd>
<dt>float <i class="arg">xmax</i></dt>
<dd><p>- Maximum value of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="74"><b class="cmd">::math::statistics::random-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Gamma distribution with given shape and rate parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">alpha</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">beta</i></dt>
<dd><p>- Rate parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="75"><b class="cmd">::math::statistics::random-poisson</b> <i class="arg">mu</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Poisson distribution with given mean.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mu</i></dt>
<dd><p>- Mean of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="76"><b class="cmd">::math::statistics::random-chisquare</b> <i class="arg">df</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a chi square distribution with given degrees of freedom.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">df</i></dt>
<dd><p>- Degrees of freedom</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="77"><b class="cmd">::math::statistics::random-student-t</b> <i class="arg">df</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Student's t distribution with given degrees of freedom.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">df</i></dt>
<dd><p>- Degrees of freedom</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="78"><b class="cmd">::math::statistics::random-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Beta distribution with given shape parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- First shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Second shape parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="79"><b class="cmd">::math::statistics::random-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Weibull distribution with given scale and shape parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="80"><b class="cmd">::math::statistics::random-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Gumbel distribution with given location and scale parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="81"><b class="cmd">::math::statistics::random-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Pareto distribution with given scale and shape parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="82"><b class="cmd">::math::statistics::random-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Cauchy distribution with given location and scale parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="83"><b class="cmd">::math::statistics::histogram-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">limits</i> <i class="arg">number</i></a></dt>
<dd><p>Return the expected histogram for a uniform distribution.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum value of the distribution</p></dd>
<dt>float <i class="arg">xmax</i></dt>
<dd><p>- Maximum value of the distribution</p></dd>
<dt>list <i class="arg">limits</i></dt>
<dd><p>- Upper limits for the buckets in the histogram</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Total number of &quot;observations&quot; in the histogram</p></dd>
</dl></dd>
<dt><a name="84"><b class="cmd">::math::statistics::incompleteGamma</b> <i class="arg">x</i> <i class="arg">p</i> <span class="opt">?tol?</span></a></dt>
<dd><p>Evaluate the incomplete Gamma integral</p>
<pre class="doctools_example">
                    1       / x               p-1
      P(p,x) =  --------   |   dt exp(-t) * t
                Gamma(p)  / 0
</pre>
<dl class="doctools_arguments">
<dt>float <i class="arg">x</i></dt>
<dd><p>- Value of x (limit of the integral)</p></dd>
<dt>float <i class="arg">p</i></dt>
<dd><p>- Value of p in the integrand</p></dd>
<dt>float <i class="arg">tol</i></dt>
<dd><p>- Required tolerance (default: 1.0e-9)</p></dd>
</dl></dd>
<dt><a name="85"><b class="cmd">::math::statistics::incompleteBeta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">x</i> <span class="opt">?tol?</span></a></dt>
<dd><p>Evaluate the incomplete Beta integral</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- First shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Second shape parameter</p></dd>
<dt>float <i class="arg">x</i></dt>
<dd><p>- Value of x (limit of the integral)</p></dd>
<dt>float <i class="arg">tol</i></dt>
<dd><p>- Required tolerance (default: 1.0e-9)</p></dd>
</dl></dd>
<dt><a name="86"><b class="cmd">::math::statistics::estimate-pareto</b> <i class="arg">values</i></a></dt>
<dd><p>Estimate the parameters for the Pareto distribution that comes closest to the given values.
Returns the estimated scale and shape parameters, as well as the standard error for the shape parameter.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">values</i></dt>
<dd><p>- List of values, assumed to be distributed according to a Pareto distribution</p></dd>
</dl></dd>
</dl>
<p>TO DO: more function descriptions to be added</p>
</div>
<div id="section5" class="doctools_section"><h2><a name="section5">DATA MANIPULATION</a></h2>
<p>The data manipulation procedures act on lists or lists of lists:</p>
<dl class="doctools_definitions">
<dt><a name="87"><b class="cmd">::math::statistics::filter</b> <i class="arg">varname</i> <i class="arg">data</i> <i class="arg">expression</i></a></dt>
<dd><p>Return a list consisting of the data for which the logical
expression is true (this command works analogously to the command <b class="cmd"><a href="../../../../index.html#key218">foreach</a></b>).</p>
<dl class="doctools_arguments">
<dt>string <i class="arg">varname</i></dt>
<dd><p>- Name of the variable used in the expression</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of data</p></dd>
<dt>string <i class="arg">expression</i></dt>
<dd><p>- Logical expression using the variable name</p></dd>
</dl></dd>
<dt><a name="88"><b class="cmd">::math::statistics::map</b> <i class="arg">varname</i> <i class="arg">data</i> <i class="arg">expression</i></a></dt>
<dd><p>Return a list consisting of the data that are transformed via the
expression.</p>
<dl class="doctools_arguments">
<dt>string <i class="arg">varname</i></dt>
<dd><p>- Name of the variable used in the expression</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of data</p></dd>
<dt>string <i class="arg">expression</i></dt>
<dd><p>- Expression to be used to transform (map) the data</p></dd>
</dl></dd>
<dt><a name="89"><b class="cmd">::math::statistics::samplescount</b> <i class="arg">varname</i> <i class="arg">list</i> <i class="arg">expression</i></a></dt>
<dd><p>Return a list consisting of the <i class="term">counts</i> of all data in the
sublists of the &quot;list&quot; argument for which the expression is true.</p>
<dl class="doctools_arguments">
<dt>string <i class="arg">varname</i></dt>
<dd><p>- Name of the variable used in the expression</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of sublists, each containing the data</p></dd>
<dt>string <i class="arg">expression</i></dt>
<dd><p>- Logical expression to test the data (defaults to
&quot;true&quot;).</p></dd>
</dl></dd>
<dt><a name="90"><b class="cmd">::math::statistics::subdivide</b></a></dt>
<dd><p>Routine <em>PM</em> - not implemented yet</p></dd>
</dl>
</div>
<div id="section6" class="doctools_section"><h2><a name="section6">PLOT PROCEDURES</a></h2>
<p>The following simple plotting procedures are available:</p>
<dl class="doctools_definitions">
<dt><a name="91"><b class="cmd">::math::statistics::plot-scale</b> <i class="arg">canvas</i> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">ymin</i> <i class="arg">ymax</i></a></dt>
<dd><p>Set the scale for a plot in the given canvas. All plot routines expect
this function to be called first. There is no automatic scaling
provided.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum x value</p></dd>
<dt>float <i class="arg">xmax</i></dt>
<dd><p>- Maximum x value</p></dd>
<dt>float <i class="arg">ymin</i></dt>
<dd><p>- Minimum y value</p></dd>
<dt>float <i class="arg">ymax</i></dt>
<dd><p>- Maximum y value</p></dd>
</dl></dd>
<dt><a name="92"><b class="cmd">::math::statistics::plot-xydata</b> <i class="arg">canvas</i> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple XY plot in the given canvas - the data are
shown as a collection of dots. The tag can be used to manipulate the
appearance.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>float <i class="arg">xdata</i></dt>
<dd><p>- Series of independent data</p></dd>
<dt>float <i class="arg">ydata</i></dt>
<dd><p>- Series of dependent data</p></dd>
<dt>string <i class="arg">tag</i></dt>
<dd><p>- Tag to give to the plotted data (defaults to xyplot)</p></dd>
</dl></dd>
<dt><a name="93"><b class="cmd">::math::statistics::plot-xyline</b> <i class="arg">canvas</i> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple XY plot in the given canvas - the data are
shown as a line through the data points. The tag can be used to
manipulate the appearance.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>list <i class="arg">xdata</i></dt>
<dd><p>- Series of independent data</p></dd>
<dt>list <i class="arg">ydata</i></dt>
<dd><p>- Series of dependent data</p></dd>
<dt>string <i class="arg">tag</i></dt>
<dd><p>- Tag to give to the plotted data (defaults to xyplot)</p></dd>
</dl></dd>
<dt><a name="94"><b class="cmd">::math::statistics::plot-tdata</b> <i class="arg">canvas</i> <i class="arg">tdata</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple XY plot in the given canvas - the data are
shown as a collection of dots. The horizontal coordinate is equal to the
index. The tag can be used to manipulate the appearance.
This type of presentation is suitable for autocorrelation functions for
instance or for inspecting the time-dependent behaviour.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>list <i class="arg">tdata</i></dt>
<dd><p>- Series of dependent data</p></dd>
<dt>string <i class="arg">tag</i></dt>
<dd><p>- Tag to give to the plotted data (defaults to xyplot)</p></dd>
</dl></dd>
<dt><a name="95"><b class="cmd">::math::statistics::plot-tline</b> <i class="arg">canvas</i> <i class="arg">tdata</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple XY plot in the given canvas - the data are
shown as a line. See plot-tdata for an explanation.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>list <i class="arg">tdata</i></dt>
<dd><p>- Series of dependent data</p></dd>
<dt>string <i class="arg">tag</i></dt>
<dd><p>- Tag to give to the plotted data (defaults to xyplot)</p></dd>
</dl></dd>
<dt><a name="96"><b class="cmd">::math::statistics::plot-histogram</b> <i class="arg">canvas</i> <i class="arg">counts</i> <i class="arg">limits</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple histogram in the given canvas</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>list <i class="arg">counts</i></dt>
<dd><p>- Series of bucket counts</p></dd>
<dt>list <i class="arg">limits</i></dt>

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 ] <hr>
<div class="doctools">
<h1 class="doctools_title">pki(n) 0.6 tcllib &quot;public key encryption&quot;</h1>
<div id="name" class="doctools_section"><h2><a name="name">Name</a></h2>
<p>pki - Implementation of the public key cipher</p>
</div>
<div id="toc" class="doctools_section"><h2><a name="toc">Table Of Contents</a></h2>
<ul class="doctools_toc">
<li class="doctools_section"><a href="#toc">Table Of Contents</a></li>
<li class="doctools_section"><a href="#synopsis">Synopsis</a></li>

<li class="doctools_section"><a href="#copyright">Copyright</a></li>
</ul>
</div>
<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl 8.5</b></li>
<li>package require <b class="pkgname">pki <span class="opt">?0.6?</span></b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::pki::encrypt</b> <span class="opt">?<i class="arg">-binary</i>?</span> <span class="opt">?<i class="arg">-hex</i>?</span> <span class="opt">?<i class="arg">-pad</i>?</span> <span class="opt">?<i class="arg">-nopad</i>?</span> <span class="opt">?<i class="arg">-priv</i>?</span> <span class="opt">?<i class="arg">-pub</i>?</span> <span class="opt">?<i class="arg">--</i>?</span> <i class="arg">input</i> <i class="arg">key</i></a></li>
<li><a href="#2"><b class="cmd">::pki::decrypt</b> <span class="opt">?<i class="arg">-binary</i>?</span> <span class="opt">?<i class="arg">-hex</i>?</span> <span class="opt">?<i class="arg">-unpad</i>?</span> <span class="opt">?<i class="arg">-nounpad</i>?</span> <span class="opt">?<i class="arg">-priv</i>?</span> <span class="opt">?<i class="arg">-pub</i>?</span> <span class="opt">?<i class="arg">--</i>?</span> <i class="arg">input</i> <i class="arg">key</i></a></li>
<li><a href="#3"><b class="cmd">::pki::sign</b> <i class="arg">input</i> <i class="arg">key</i> <span class="opt">?<i class="arg">algo</i>?</span></a></li>
<li><a href="#4"><b class="cmd">::pki::verify</b> <i class="arg">signedmessage</i> <i class="arg">plaintext</i> <i class="arg">key</i> <span class="opt">?<i class="arg">algo</i>?</span></a></li>
<li><a href="#5"><b class="cmd">::pki::key</b> <i class="arg">key</i> <span class="opt">?<i class="arg">password</i>?</span> <span class="opt">?<i class="arg">encodePem</i>?</span></a></li>

<td class="#doctools_tocright">Generator core for compiler of magic(5) files</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/fumagic/filetypes.html">fileutil::magic::filetype</a></td>
<td class="#doctools_tocright">Procedures implementing file-type recognition</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/fumagic/mimetypes.html">fileutil::magic::mimetype</a></td>
<td class="#doctools_tocright">Procedures implementing mime-type recognition</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/fumagic/rtcore.html">fileutil::magic::rt</a></td>
<td class="#doctools_tocright">Runtime core for file type recognition engines written in pure Tcl</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/fileutil/multi.html">fileutil::multi</a></td>
<td class="#doctools_tocright">Multi-file operation, scatter/gather, standard object</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/fileutil/multiop.html">fileutil::multi::op</a></td>
<td class="#doctools_tocright">Multi-file operation, scatter/gather</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/fileutil/traverse.html">fileutil_traverse</a></td>
<td class="#doctools_tocright">Iterative directory traversal</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ftp/ftp.html">ftp</a></td>
<td class="#doctools_tocright">Client-side tcl implementation of the ftp protocol</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ftp/ftp_geturl.html">ftp::geturl</a></td>
<td class="#doctools_tocright">Uri handler for ftp urls</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ftpd/ftpd.html">ftpd</a></td>
<td class="#doctools_tocright">Tcl FTP server implementation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/generator/generator.html">generator</a></td>
<td class="#doctools_tocright">Procedures for creating and using generators.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/gpx/gpx.html">gpx</a></td>
<td class="#doctools_tocright">Extracts waypoints, tracks and routes from GPX files</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_aycock/aycock.html">grammar::aycock</a></td>
<td class="#doctools_tocright">Aycock-Horspool-Earley parser generator for Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_fa/fa.html">grammar::fa</a></td>
<td class="#doctools_tocright">Create and manipulate finite automatons</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_fa/dacceptor.html">grammar::fa::dacceptor</a></td>
<td class="#doctools_tocright">Create and use deterministic acceptors</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_fa/dexec.html">grammar::fa::dexec</a></td>
<td class="#doctools_tocright">Execute deterministic finite automatons</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_fa/faop.html">grammar::fa::op</a></td>
<td class="#doctools_tocright">Operations on finite automatons</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_cpu.html">grammar::me::cpu</a></td>
<td class="#doctools_tocright">Virtual machine implementation II for parsing token streams</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_cpucore.html">grammar::me::cpu::core</a></td>
<td class="#doctools_tocright">ME virtual machine state manipulation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/gasm.html">grammar::me::cpu::gasm</a></td>
<td class="#doctools_tocright">ME assembler</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_tcl.html">grammar::me::tcl</a></td>
<td class="#doctools_tocright">Virtual machine implementation I for parsing token streams</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_util.html">grammar::me::util</a></td>
<td class="#doctools_tocright">AST utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_ast.html">grammar::me_ast</a></td>
<td class="#doctools_tocright">Various representations of ASTs</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_intro.html">grammar::me_intro</a></td>
<td class="#doctools_tocright">Introduction to virtual machines for parsing token streams</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_vm.html">grammar::me_vm</a></td>
<td class="#doctools_tocright">Virtual machine for parsing token streams</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_peg/peg.html">grammar::peg</a></td>
<td class="#doctools_tocright">Create and manipulate parsing expression grammars</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_peg/peg_interp.html">grammar::peg::interp</a></td>
<td class="#doctools_tocright">Interpreter for parsing expression grammars</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/hook/hook.html">hook</a></td>
<td class="#doctools_tocright">Hooks</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/html/html.html">html</a></td>
<td class="#doctools_tocright">Procedures to generate HTML structures</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/htmlparse/htmlparse.html">htmlparse</a></td>
<td class="#doctools_tocright">Procedures to parse HTML strings</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/yaml/huddle.html">huddle</a></td>
<td class="#doctools_tocright">Create and manipulate huddle object</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ident/ident.html">ident</a></td>
<td class="#doctools_tocright">Ident protocol client</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/imap4/imap4.html">imap4</a></td>
<td class="#doctools_tocright">imap client-side tcl implementation of imap protocol</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/inifile/ini.html">inifile</a></td>
<td class="#doctools_tocright">Parsing of Windows INI files</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/interp/tcllib_interp.html">interp</a></td>
<td class="#doctools_tocright">Interp creation and aliasing</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/irc/irc.html">irc</a></td>
<td class="#doctools_tocright">Create IRC connection and interface.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/javascript/javascript.html">javascript</a></td>
<td class="#doctools_tocright">Procedures to generate HTML and Java Script structures.</td>
</tr>




<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/jpeg/jpeg.html">jpeg</a></td>
<td class="#doctools_tocright">JPEG querying and manipulation of meta data</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/json/json.html">json</a></td>
<td class="#doctools_tocright">JSON parser</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/json/json_write.html">json::write</a></td>
<td class="#doctools_tocright">JSON generation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/lambda/lambda.html">lambda</a></td>
<td class="#doctools_tocright">Utility commands for anonymous procedures</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ldap/ldap.html">ldap</a></td>
<td class="#doctools_tocright">LDAP client</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ldap/ldapx.html">ldapx</a></td>
<td class="#doctools_tocright">LDAP extended object interface</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/log/log.html">log</a></td>
<td class="#doctools_tocright">Procedures to log messages of libraries and applications.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/log/logger.html">logger</a></td>
<td class="#doctools_tocright">System to control logging of events.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/log/loggerAppender.html">logger::appender</a></td>
<td class="#doctools_tocright">Collection of predefined appenders for logger</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/log/loggerUtils.html">logger::utils</a></td>
<td class="#doctools_tocright">Utilities for logger</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/map/map_geocode_nominatim.html">map::geocode::nominatim</a></td>
<td class="#doctools_tocright">Resolving geographical names with a Nominatim service</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/map/map_slippy.html">map::slippy</a></td>
<td class="#doctools_tocright">Common code for slippy based map packages</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/map/map_slippy_cache.html">map::slippy::cache</a></td>
<td class="#doctools_tocright">Management of a tile cache in the local filesystem</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/map/map_slippy_fetcher.html">map::slippy::fetcher</a></td>
<td class="#doctools_tocright">Accessing a server providing tiles for slippy-based maps</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/mapproj/mapproj.html">mapproj</a></td>
<td class="#doctools_tocright">Map projection routines</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/markdown/markdown.html">markdown</a></td>
<td class="#doctools_tocright">Converts Markdown text to HTML</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/math.html">math</a></td>
<td class="#doctools_tocright">Tcl Math Library</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/bigfloat.html">math::bigfloat</a></td>
<td class="#doctools_tocright">Arbitrary precision floating-point numbers</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/bignum.html">math::bignum</a></td>
<td class="#doctools_tocright">Arbitrary precision integer numbers</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/calculus.html">math::calculus</a></td>
<td class="#doctools_tocright">Integration and ordinary differential equations</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/romberg.html">math::calculus::romberg</a></td>
<td class="#doctools_tocright">Romberg integration</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/symdiff.html">math::calculus::symdiff</a></td>
<td class="#doctools_tocright">Symbolic differentiation for Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/combinatorics.html">math::combinatorics</a></td>
<td class="#doctools_tocright">Combinatorial functions in the Tcl Math Library</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/qcomplex.html">math::complexnumbers</a></td>
<td class="#doctools_tocright">Straightforward complex number package</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/constants.html">math::constants</a></td>
<td class="#doctools_tocright">Mathematical and numerical constants</td>
</tr>




<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/decimal.html">math::decimal</a></td>
<td class="#doctools_tocright">General decimal arithmetic</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/exact.html">math::exact</a></td>
<td class="#doctools_tocright">Exact Real Arithmetic</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/fourier.html">math::fourier</a></td>
<td class="#doctools_tocright">Discrete and fast fourier transforms</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/fuzzy.html">math::fuzzy</a></td>
<td class="#doctools_tocright">Fuzzy comparison of floating-point numbers</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/math_geometry.html">math::geometry</a></td>
<td class="#doctools_tocright">Geometrical computations</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/interpolate.html">math::interpolate</a></td>
<td class="#doctools_tocright">Interpolation routines</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/linalg.html">math::linearalgebra</a></td>
<td class="#doctools_tocright">Linear Algebra</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/numtheory.html">math::numtheory</a></td>
<td class="#doctools_tocright">Number Theory</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/optimize.html">math::optimize</a></td>
<td class="#doctools_tocright">Optimisation routines</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/polynomials.html">math::polynomials</a></td>
<td class="#doctools_tocright">Polynomial functions</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/rational_funcs.html">math::rationalfunctions</a></td>
<td class="#doctools_tocright">Polynomial functions</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/roman.html">math::roman</a></td>
<td class="#doctools_tocright">Tools for creating and manipulating roman numerals</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/special.html">math::special</a></td>
<td class="#doctools_tocright">Special mathematical functions</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/statistics.html">math::statistics</a></td>
<td class="#doctools_tocright">Basic statistical functions and procedures</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/md4/md4.html">md4</a></td>
<td class="#doctools_tocright">MD4 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/md5/md5.html">md5</a></td>
<td class="#doctools_tocright">MD5 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/md5crypt/md5crypt.html">md5crypt</a></td>
<td class="#doctools_tocright">MD5-based password encryption</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/mime/mime.html">mime</a></td>
<td class="#doctools_tocright">Manipulation of MIME body parts</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/doctools/mpexpand.html">mpexpand</a></td>
<td class="#doctools_tocright">Markup processor</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/multiplexer/multiplexer.html">multiplexer</a></td>
<td class="#doctools_tocright">One-to-many communication with sockets.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_client.html">nameserv</a></td>
<td class="#doctools_tocright">Name service facility, Client</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_auto.html">nameserv::auto</a></td>
<td class="#doctools_tocright">Name service facility, Client Extension</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_common.html">nameserv::common</a></td>
<td class="#doctools_tocright">Name service facility, shared definitions</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_protocol.html">nameserv::protocol</a></td>
<td class="#doctools_tocright">Name service facility, client/server protocol</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_server.html">nameserv::server</a></td>
<td class="#doctools_tocright">Name service facility, Server</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/namespacex/namespacex.html">namespacex</a></td>
<td class="#doctools_tocright">Namespace utility commands</td>
</tr>




<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ncgi/ncgi.html">ncgi</a></td>
<td class="#doctools_tocright">Procedures to manipulate CGI values.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/nettool/nettool.html">nettool</a></td>
<td class="#doctools_tocright">Tools for networked applications</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nmea/nmea.html">nmea</a></td>
<td class="#doctools_tocright">Process NMEA data</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/apps/nns.html">nns</a></td>
<td class="#doctools_tocright">Name service facility, Commandline Client Application</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_intro.html">nns_intro</a></td>
<td class="#doctools_tocright">Name service facility, introduction</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/apps/nnsd.html">nnsd</a></td>
<td class="#doctools_tocright">Name service facility, Commandline Server Application</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/apps/nnslog.html">nnslog</a></td>
<td class="#doctools_tocright">Name service facility, Commandline Logging Client Application</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/nntp/nntp.html">nntp</a></td>
<td class="#doctools_tocright">Tcl client for the NNTP protocol</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ntp/ntp_time.html">ntp_time</a></td>
<td class="#doctools_tocright">Tcl Time Service Client</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/oauth/oauth.html">oauth</a></td>
<td class="#doctools_tocright">oauth API base signature</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tool/meta.html">oo::util</a></td>
<td class="#doctools_tocright">Utility commands for TclOO</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ooutil/ooutil.html">oo::util</a></td>
<td class="#doctools_tocright">Utility commands for TclOO</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/otp/otp.html">otp</a></td>
<td class="#doctools_tocright">One-Time Passwords</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/apps/page.html">page</a></td>
<td class="#doctools_tocright">Parser Generator</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_intro.html">page_intro</a></td>
<td class="#doctools_tocright">page introduction</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_pluginmgr.html">page_pluginmgr</a></td>
<td class="#doctools_tocright">page plugin manager</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_flow.html">page_util_flow</a></td>
<td class="#doctools_tocright">page dataflow/treewalker utility</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_norm_lemon.html">page_util_norm_lemon</a></td>
<td class="#doctools_tocright">page AST normalization, LEMON</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_norm_peg.html">page_util_norm_peg</a></td>
<td class="#doctools_tocright">page AST normalization, PEG</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_peg.html">page_util_peg</a></td>
<td class="#doctools_tocright">page PEG transformation utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_quote.html">page_util_quote</a></td>
<td class="#doctools_tocright">page character quoting utilities</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/irc/picoirc.html">picoirc</a></td>
<td class="#doctools_tocright">Small and simple embeddable IRC client.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pki/pki.html">pki</a></td>
<td class="#doctools_tocright">Implementation of the public key cipher</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pluginmgr/pluginmgr.html">pluginmgr</a></td>
<td class="#doctools_tocright">Manage a plugin</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/png/png.html">png</a></td>
<td class="#doctools_tocright">PNG querying and manipulation of meta data</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pop3/pop3.html">pop3</a></td>
<td class="#doctools_tocright">Tcl client for POP3 email protocol</td>
</tr>




<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pop3d/pop3d.html">pop3d</a></td>
<td class="#doctools_tocright">Tcl POP3 server implementation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pop3d/pop3d_dbox.html">pop3d::dbox</a></td>
<td class="#doctools_tocright">Simple mailbox database for pop3d</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pop3d/pop3d_udb.html">pop3d::udb</a></td>
<td class="#doctools_tocright">Simple user database for pop3d</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/practcl/practcl.html">practcl</a></td>
<td class="#doctools_tocright">The Practcl Module</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/processman/processman.html">processman</a></td>
<td class="#doctools_tocright">Tool for automating the period callback of commands</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/profiler/profiler.html">profiler</a></td>
<td class="#doctools_tocright">Tcl source code profiler</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/apps/pt.html">pt</a></td>
<td class="#doctools_tocright">Parser Tools Application</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_astree.html">pt::ast</a></td>
<td class="#doctools_tocright">Abstract Syntax Tree Serialization</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_cparam_config_critcl.html">pt::cparam::configuration::critcl</a></td>
<td class="#doctools_tocright">C/PARAM, Canned configuration, Critcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_cparam_config_tea.html">pt::cparam::configuration::tea</a></td>
<td class="#doctools_tocright">C/PARAM, Canned configuration, TEA</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_json_language.html">pt::json_language</a></td>
<td class="#doctools_tocright">The JSON Grammar Exchange Format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_param.html">pt::param</a></td>
<td class="#doctools_tocright">PackRat Machine Specification</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_pexpression.html">pt::pe</a></td>
<td class="#doctools_tocright">Parsing Expression Serialization</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_pexpr_op.html">pt::pe::op</a></td>
<td class="#doctools_tocright">Parsing Expression Utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_pegrammar.html">pt::peg</a></td>
<td class="#doctools_tocright">Parsing Expression Grammar Serialization</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_container.html">pt::peg::container</a></td>
<td class="#doctools_tocright">PEG Storage</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_container_peg.html">pt::peg::container::peg</a></td>
<td class="#doctools_tocright">PEG Storage. Canned PEG grammar specification</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_export.html">pt::peg::export</a></td>
<td class="#doctools_tocright">PEG Export</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_export_container.html">pt::peg::export::container</a></td>
<td class="#doctools_tocright">PEG Export Plugin. Write CONTAINER format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_export_json.html">pt::peg::export::json</a></td>
<td class="#doctools_tocright">PEG Export Plugin. Write JSON format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_export_peg.html">pt::peg::export::peg</a></td>
<td class="#doctools_tocright">PEG Export Plugin. Write PEG format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_from_container.html">pt::peg::from::container</a></td>
<td class="#doctools_tocright">PEG Conversion. From CONTAINER format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_from_json.html">pt::peg::from::json</a></td>
<td class="#doctools_tocright">PEG Conversion. Read JSON format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_from_peg.html">pt::peg::from::peg</a></td>
<td class="#doctools_tocright">PEG Conversion. Read PEG format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_import.html">pt::peg::import</a></td>
<td class="#doctools_tocright">PEG Import</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_import_container.html">pt::peg::import::container</a></td>
<td class="#doctools_tocright">PEG Import Plugin. From CONTAINER format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_import_json.html">pt::peg::import::json</a></td>
<td class="#doctools_tocright">PEG Import Plugin. Read JSON format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_import_peg.html">pt::peg::import::peg</a></td>
<td class="#doctools_tocright">PEG Import Plugin. Read PEG format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_interp.html">pt::peg::interp</a></td>
<td class="#doctools_tocright">Interpreter for parsing expression grammars</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_container.html">pt::peg::to::container</a></td>
<td class="#doctools_tocright">PEG Conversion. Write CONTAINER format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_cparam.html">pt::peg::to::cparam</a></td>
<td class="#doctools_tocright">PEG Conversion. Write CPARAM format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_json.html">pt::peg::to::json</a></td>
<td class="#doctools_tocright">PEG Conversion. Write JSON format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_param.html">pt::peg::to::param</a></td>
<td class="#doctools_tocright">PEG Conversion. Write PARAM format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_peg.html">pt::peg::to::peg</a></td>
<td class="#doctools_tocright">PEG Conversion. Write PEG format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_tclparam.html">pt::peg::to::tclparam</a></td>
<td class="#doctools_tocright">PEG Conversion. Write TCLPARAM format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_language.html">pt::peg_language</a></td>
<td class="#doctools_tocright">PEG Language Tutorial</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_introduction.html">pt::pegrammar</a></td>
<td class="#doctools_tocright">Introduction to Parsing Expression Grammars</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_pgen.html">pt::pgen</a></td>
<td class="#doctools_tocright">Parser Generator</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_rdengine.html">pt::rde</a></td>
<td class="#doctools_tocright">Parsing Runtime Support, PARAM based</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_tclparam_config_snit.html">pt::tclparam::configuration::snit</a></td>
<td class="#doctools_tocright">Tcl/PARAM, Canned configuration, Snit</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_tclparam_config_tcloo.html">pt::tclparam::configuration::tcloo</a></td>
<td class="#doctools_tocright">Tcl/PARAM, Canned configuration, Tcloo</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_util.html">pt::util</a></td>
<td class="#doctools_tocright">General utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_to_api.html">pt_export_api</a></td>
<td class="#doctools_tocright">Parser Tools Export API</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_from_api.html">pt_import_api</a></td>
<td class="#doctools_tocright">Parser Tools Import API</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_introduction.html">pt_introduction</a></td>
<td class="#doctools_tocright">Introduction to Parser Tools</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_parse_peg.html">pt_parse_peg</a></td>
<td class="#doctools_tocright">Parser Tools PEG Parser</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_parser_api.html">pt_parser_api</a></td>
<td class="#doctools_tocright">Parser API</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_op.html">pt_peg_op</a></td>
<td class="#doctools_tocright">Parser Tools PE Grammar Utility Operations</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/rc4/rc4.html">rc4</a></td>
<td class="#doctools_tocright">Implementation of the RC4 stream cipher</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/rcs/rcs.html">rcs</a></td>
<td class="#doctools_tocright">RCS low level utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/report/report.html">report</a></td>
<td class="#doctools_tocright">Create and manipulate report objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/rest/rest.html">rest</a></td>
<td class="#doctools_tocright">define REST web APIs and call them inline or asychronously</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ripemd/ripemd128.html">ripemd128</a></td>
<td class="#doctools_tocright">RIPEMD-128 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ripemd/ripemd160.html">ripemd160</a></td>
<td class="#doctools_tocright">RIPEMD-160 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/amazon-s3/S3.html">S3</a></td>
<td class="#doctools_tocright">Amazon S3 Web Service Interface</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/sasl/sasl.html">SASL</a></td>
<td class="#doctools_tocright">Implementation of SASL mechanisms for Tcl</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/sasl/ntlm.html">SASL::NTLM</a></td>
<td class="#doctools_tocright">Implementation of SASL NTLM mechanism for Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/sasl/scram.html">SASL::SCRAM</a></td>
<td class="#doctools_tocright">Implementation of SASL SCRAM mechanism for Tcl</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/sasl/gtoken.html">SASL::XGoogleToken</a></td>
<td class="#doctools_tocright">Implementation of SASL NTLM mechanism for Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/sha1/sha1.html">sha1</a></td>
<td class="#doctools_tocright">SHA1 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/sha1/sha256.html">sha256</a></td>
<td class="#doctools_tocright">SHA256 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/simulation/annealing.html">simulation::annealing</a></td>
<td class="#doctools_tocright">Simulated annealing</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/simulation/montecarlo.html">simulation::montecarlo</a></td>
<td class="#doctools_tocright">Monte Carlo simulations</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/simulation/simulation_random.html">simulation::random</a></td>
<td class="#doctools_tocright">Pseudo-random number generators</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/mime/smtp.html">smtp</a></td>
<td class="#doctools_tocright">Client-side tcl implementation of the smtp protocol</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/smtpd/smtpd.html">smtpd</a></td>
<td class="#doctools_tocright">Tcl SMTP server implementation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/snit/snit.html">snit</a></td>
<td class="#doctools_tocright">Snit's Not Incr Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/snit/snitfaq.html">snitfaq</a></td>
<td class="#doctools_tocright">Snit Frequently Asked Questions</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/soundex/soundex.html">soundex</a></td>
<td class="#doctools_tocright">Soundex</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/stooop/stooop.html">stooop</a></td>
<td class="#doctools_tocright">Object oriented extension.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/string/token.html">string::token</a></td>
<td class="#doctools_tocright">Regex based iterative lexing</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/string/token_shell.html">string::token::shell</a></td>
<td class="#doctools_tocright">Parsing of shell command line</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/stringprep/stringprep.html">stringprep</a></td>
<td class="#doctools_tocright">Implementation of stringprep</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/stringprep/stringprep_data.html">stringprep::data</a></td>
<td class="#doctools_tocright">stringprep data tables, generated, internal</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/disjointset.html">struct::disjointset</a></td>
<td class="#doctools_tocright">Disjoint set data structure</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/graph.html">struct::graph</a></td>
<td class="#doctools_tocright">Create and manipulate directed graph objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/graphops.html">struct::graph::op</a></td>
<td class="#doctools_tocright">Operation for (un)directed graph objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/graph1.html">struct::graph_v1</a></td>
<td class="#doctools_tocright">Create and manipulate directed graph objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/struct_list.html">struct::list</a></td>
<td class="#doctools_tocright">Procedures for manipulating lists</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/matrix.html">struct::matrix</a></td>
<td class="#doctools_tocright">Create and manipulate matrix objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/matrix1.html">struct::matrix_v1</a></td>
<td class="#doctools_tocright">Create and manipulate matrix objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/pool.html">struct::pool</a></td>
<td class="#doctools_tocright">Create and manipulate pool objects (of discrete items)</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/prioqueue.html">struct::prioqueue</a></td>
<td class="#doctools_tocright">Create and manipulate prioqueue objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/queue.html">struct::queue</a></td>
<td class="#doctools_tocright">Create and manipulate queue objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/record.html">struct::record</a></td>
<td class="#doctools_tocright">Define and create records (similar to 'C' structures)</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/struct_set.html">struct::set</a></td>
<td class="#doctools_tocright">Procedures for manipulating sets</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/skiplist.html">struct::skiplist</a></td>
<td class="#doctools_tocright">Create and manipulate skiplists</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/stack.html">struct::stack</a></td>
<td class="#doctools_tocright">Create and manipulate stack objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/struct_tree.html">struct::tree</a></td>
<td class="#doctools_tocright">Create and manipulate tree objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/struct_tree1.html">struct::tree_v1</a></td>
<td class="#doctools_tocright">Create and manipulate tree objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/crc/sum.html">sum</a></td>
<td class="#doctools_tocright">Calculate a sum(1) compatible checksum</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/stooop/switched.html">switched</a></td>
<td class="#doctools_tocright">switch/option management.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tar/tar.html">tar</a></td>
<td class="#doctools_tocright">Tar file creation, extraction &amp; manipulation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/cat.html">tcl::chan::cat</a></td>
<td class="#doctools_tocright">Concatenation channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_core/core.html">tcl::chan::core</a></td>
<td class="#doctools_tocright">Basic reflected/virtual channel support</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_core/events.html">tcl::chan::events</a></td>
<td class="#doctools_tocright">Event support for reflected/virtual channels</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/facade.html">tcl::chan::facade</a></td>
<td class="#doctools_tocright">Facade channel</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_fifo.html">tcl::chan::fifo</a></td>
<td class="#doctools_tocright">In-memory fifo channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_fifo2.html">tcl::chan::fifo2</a></td>
<td class="#doctools_tocright">In-memory interconnected fifo channels</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/halfpipe.html">tcl::chan::halfpipe</a></td>
<td class="#doctools_tocright">In-memory channel, half of a fifo2</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_memchan.html">tcl::chan::memchan</a></td>
<td class="#doctools_tocright">In-memory channel</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_null.html">tcl::chan::null</a></td>
<td class="#doctools_tocright">Null channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/nullzero.html">tcl::chan::nullzero</a></td>
<td class="#doctools_tocright">Null/Zero channel combination</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_random.html">tcl::chan::random</a></td>
<td class="#doctools_tocright">Random channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/std.html">tcl::chan::std</a></td>
<td class="#doctools_tocright">Standard I/O, unification of stdin and stdout</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_string.html">tcl::chan::string</a></td>
<td class="#doctools_tocright">Read-only in-memory channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/textwindow.html">tcl::chan::textwindow</a></td>
<td class="#doctools_tocright">Textwindow channel</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_variable.html">tcl::chan::variable</a></td>
<td class="#doctools_tocright">In-memory channel using variable for storage</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_zero.html">tcl::chan::zero</a></td>
<td class="#doctools_tocright">Zero channel</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/randseed.html">tcl::randomseed</a></td>
<td class="#doctools_tocright">Utilities for random channels</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/adler32.html">tcl::transform::adler32</a></td>
<td class="#doctools_tocright">Adler32 transformation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/vt_base64.html">tcl::transform::base64</a></td>
<td class="#doctools_tocright">Base64 encoding transformation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_core/transformcore.html">tcl::transform::core</a></td>
<td class="#doctools_tocright">Basic reflected/virtual channel transform support</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/vt_counter.html">tcl::transform::counter</a></td>
<td class="#doctools_tocright">Counter transformation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/vt_crc32.html">tcl::transform::crc32</a></td>
<td class="#doctools_tocright">Crc32 transformation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/hex.html">tcl::transform::hex</a></td>
<td class="#doctools_tocright">Hexadecimal encoding transformation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/identity.html">tcl::transform::identity</a></td>
<td class="#doctools_tocright">Identity transformation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/limitsize.html">tcl::transform::limitsize</a></td>
<td class="#doctools_tocright">limiting input</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/observe.html">tcl::transform::observe</a></td>
<td class="#doctools_tocright">Observer transformation, stream copy</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/vt_otp.html">tcl::transform::otp</a></td>
<td class="#doctools_tocright">Encryption via one-time pad</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/rot.html">tcl::transform::rot</a></td>
<td class="#doctools_tocright">rot-encryption</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/spacer.html">tcl::transform::spacer</a></td>
<td class="#doctools_tocright">Space insertation and removal</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/tcllib_zlib.html">tcl::transform::zlib</a></td>
<td class="#doctools_tocright">zlib (de)compression</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/des/tcldes.html">tclDES</a></td>
<td class="#doctools_tocright">Implementation of the DES and triple-DES ciphers</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/des/tcldesjr.html">tclDESjr</a></td>
<td class="#doctools_tocright">Implementation of the DES and triple-DES ciphers</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/apps/tcldocstrip.html">tcldocstrip</a></td>
<td class="#doctools_tocright">Tcl-based Docstrip Processor</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/dns/tcllib_ip.html">tcllib_ip</a></td>
<td class="#doctools_tocright">IPv4 and IPv6 address manipulation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/machineparameters.html">tclrep/machineparameters</a></td>
<td class="#doctools_tocright">Compute double precision machine parameters.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tepam/tepam_introduction.html">tepam</a></td>
<td class="#doctools_tocright">An introduction into TEPAM, Tcl's Enhanced Procedure and Argument Manager</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tepam/tepam_argument_dialogbox.html">tepam::argument_dialogbox</a></td>
<td class="#doctools_tocright">TEPAM argument_dialogbox, reference manual</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tepam/tepam_doc_gen.html">tepam::doc_gen</a></td>
<td class="#doctools_tocright">TEPAM DOC Generation, reference manual</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tepam/tepam_procedure.html">tepam::procedure</a></td>
<td class="#doctools_tocright">TEPAM procedure, reference manual</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/term.html">term</a></td>
<td class="#doctools_tocright">General terminal control</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_code.html">term::ansi::code</a></td>
<td class="#doctools_tocright">Helper for control sequences</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_cattr.html">term::ansi::code::attr</a></td>
<td class="#doctools_tocright">ANSI attribute sequences</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_cctrl.html">term::ansi::code::ctrl</a></td>
<td class="#doctools_tocright">ANSI control sequences</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_cmacros.html">term::ansi::code::macros</a></td>
<td class="#doctools_tocright">Macro sequences</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_ctrlu.html">term::ansi::ctrl::unix</a></td>
<td class="#doctools_tocright">Control operations and queries</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_send.html">term::ansi::send</a></td>
<td class="#doctools_tocright">Output of ANSI control sequences to terminals</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/imenu.html">term::interact::menu</a></td>
<td class="#doctools_tocright">Terminal widget, menu</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/ipager.html">term::interact::pager</a></td>
<td class="#doctools_tocright">Terminal widget, paging</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/receive.html">term::receive</a></td>
<td class="#doctools_tocright">General input from terminals</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/term_bind.html">term::receive::bind</a></td>
<td class="#doctools_tocright">Keyboard dispatch from terminals</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/term_send.html">term::send</a></td>
<td class="#doctools_tocright">General output to terminals</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/textutil.html">textutil</a></td>
<td class="#doctools_tocright">Procedures to manipulate texts and strings.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/adjust.html">textutil::adjust</a></td>
<td class="#doctools_tocright">Procedures to adjust, indent, and undent paragraphs</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/expander.html">textutil::expander</a></td>
<td class="#doctools_tocright">Procedures to process templates and expand text.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/repeat.html">textutil::repeat</a></td>
<td class="#doctools_tocright">Procedures to repeat strings.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/textutil_split.html">textutil::split</a></td>
<td class="#doctools_tocright">Procedures to split texts</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/textutil_string.html">textutil::string</a></td>
<td class="#doctools_tocright">Procedures to manipulate texts and strings.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/tabify.html">textutil::tabify</a></td>
<td class="#doctools_tocright">Procedures to (un)tabify strings</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/trim.html">textutil::trim</a></td>
<td class="#doctools_tocright">Procedures to trim strings</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/try/tcllib_throw.html">throw</a></td>
<td class="#doctools_tocright">throw - Throw an error exception with a message</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tie/tie_std.html">tie</a></td>
<td class="#doctools_tocright">Array persistence, standard data sources</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tie/tie.html">tie</a></td>
<td class="#doctools_tocright">Array persistence</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tiff/tiff.html">tiff</a></td>
<td class="#doctools_tocright">TIFF reading, writing, and querying and manipulation of meta data</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tool/tool.html">tool</a></td>
<td class="#doctools_tocright">Dictionary Tools</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tool/tool_dict_ensemble.html">tool::dict_ensemble</a></td>
<td class="#doctools_tocright">Dictionary Tools</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/connect.html">transfer::connect</a></td>
<td class="#doctools_tocright">Connection setup</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/copyops.html">transfer::copy</a></td>
<td class="#doctools_tocright">Data transfer foundation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/tqueue.html">transfer::copy::queue</a></td>
<td class="#doctools_tocright">Queued transfers</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/ddest.html">transfer::data::destination</a></td>
<td class="#doctools_tocright">Data destination</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/dsource.html">transfer::data::source</a></td>
<td class="#doctools_tocright">Data source</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/receiver.html">transfer::receiver</a></td>
<td class="#doctools_tocright">Data source</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/transmitter.html">transfer::transmitter</a></td>
<td class="#doctools_tocright">Data source</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/treeql/treeql.html">treeql</a></td>
<td class="#doctools_tocright">Query tree objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/try/tcllib_try.html">try</a></td>
<td class="#doctools_tocright">try - Trap and process errors and exceptions</td>
</tr>




<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/uev/uevent.html">uevent</a></td>
<td class="#doctools_tocright">User events</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/uev/uevent_onidle.html">uevent::onidle</a></td>
<td class="#doctools_tocright">Request merging and deferal to idle time</td>

<td class="#doctools_tocright">Tcl SMTP server implementation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/dns/tcllib_ip.html">tcllib_ip</a></td>
<td class="#doctools_tocright">IPv4 and IPv6 address manipulation</td>
</tr>
<tr class="#doctools_tocodd"  >




<td class="#doctools_tocleft" ><a href="tcllib/files/modules/uri/uri.html">uri</a></td>
<td class="#doctools_tocright">URI utilities</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/uri/urn-scheme.html">uri_urn</a></td>
<td class="#doctools_tocright">URI utilities, URN scheme</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/websocket/websocket.html">websocket</a></td>
<td class="#doctools_tocright">Tcl implementation of the websocket protocol</td>
</tr>
</table></dl>
<dl><dt>Page Parser Generator<dd>
<table class="#doctools_toc">
<tr class="#doctools_toceven" >

<td class="#doctools_tocright">Generator core for compiler of magic(5) files</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/filetypes.html">fileutil::magic::filetype</a></td>
<td class="#doctools_tocright">Procedures implementing file-type recognition</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/mimetypes.html">fileutil::magic::mimetype</a></td>
<td class="#doctools_tocright">Procedures implementing mime-type recognition</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/rtcore.html">fileutil::magic::rt</a></td>
<td class="#doctools_tocright">Runtime core for file type recognition engines written in pure Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fileutil/multi.html">fileutil::multi</a></td>
<td class="#doctools_tocright">Multi-file operation, scatter/gather, standard object</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fileutil/multiop.html">fileutil::multi::op</a></td>
<td class="#doctools_tocright">Multi-file operation, scatter/gather</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fileutil/traverse.html">fileutil_traverse</a></td>
<td class="#doctools_tocright">Iterative directory traversal</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/hook/hook.html">hook</a></td>
<td class="#doctools_tocright">Hooks</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/interp/tcllib_interp.html">interp</a></td>
<td class="#doctools_tocright">Interp creation and aliasing</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/log/log.html">log</a></td>
<td class="#doctools_tocright">Procedures to log messages of libraries and applications.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/log/logger.html">logger</a></td>
<td class="#doctools_tocright">System to control logging of events.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/log/loggerAppender.html">logger::appender</a></td>
<td class="#doctools_tocright">Collection of predefined appenders for logger</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/log/loggerUtils.html">logger::utils</a></td>
<td class="#doctools_tocright">Utilities for logger</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/multiplexer/multiplexer.html">multiplexer</a></td>
<td class="#doctools_tocright">One-to-many communication with sockets.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/pluginmgr/pluginmgr.html">pluginmgr</a></td>
<td class="#doctools_tocright">Manage a plugin</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/profiler/profiler.html">profiler</a></td>
<td class="#doctools_tocright">Tcl source code profiler</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/snit/snit.html">snit</a></td>
<td class="#doctools_tocright">Snit's Not Incr Tcl</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/snit/snitfaq.html">snitfaq</a></td>
<td class="#doctools_tocright">Snit Frequently Asked Questions</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/stooop/stooop.html">stooop</a></td>
<td class="#doctools_tocright">Object oriented extension.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/stooop/switched.html">switched</a></td>
<td class="#doctools_tocright">switch/option management.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/tie/tie.html">tie</a></td>
<td class="#doctools_tocright">Array persistence</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/tie/tie_std.html">tie</a></td>
<td class="#doctools_tocright">Array persistence, standard data sources</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/uev/uevent.html">uevent</a></td>
<td class="#doctools_tocright">User events</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/wip/wip.html">wip</a></td>
<td class="#doctools_tocright">Word Interpreter</td>
</tr>
</table></dl>
<dl><dt>System<dd>
<table class="#doctools_toc">
<tr class="#doctools_toceven" >

<td class="#doctools_tocright">Generator core for compiler of magic(5) files</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/filetypes.html">fileutil::magic::filetype</a></td>
<td class="#doctools_tocright">Procedures implementing file-type recognition</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/mimetypes.html">fileutil::magic::mimetype</a></td>
<td class="#doctools_tocright">Procedures implementing mime-type recognition</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/rtcore.html">fileutil::magic::rt</a></td>
<td class="#doctools_tocright">Runtime core for file type recognition engines written in pure Tcl</td>
</tr>
</table></dl>
<dl><dt>generator<dd>
<table class="#doctools_toc">
<tr class="#doctools_toceven" >

<td class="#doctools_tocleft" ><a href="tcllib/files/modules/try/tcllib_throw.html">throw</a></td>
<td class="#doctools_tocright">throw - Throw an error exception with a message</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/try/tcllib_try.html">try</a></td>
<td class="#doctools_tocright">try - Trap and process errors and exceptions</td>
</tr>







</table></dl>
<dl><dt>uev<dd>
<table class="#doctools_toc">
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/uev/uevent.html">uevent</a></td>
<td class="#doctools_tocright">User events</td>
</tr>

<td class="#doctools_tocright">Tcl SMTP server implementation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/dns/tcllib_ip.html">tcllib_ip</a></td>
<td class="#doctools_tocright">IPv4 and IPv6 address manipulation</td>
</tr>
<tr class="#doctools_tocodd"  >




<td class="#doctools_tocleft" ><a href="tcllib/files/modules/uri/uri.html">uri</a></td>
<td class="#doctools_tocright">URI utilities</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/uri/urn-scheme.html">uri_urn</a></td>
<td class="#doctools_tocright">URI utilities, URN scheme</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/websocket/websocket.html">websocket</a></td>
<td class="#doctools_tocright">Tcl implementation of the websocket protocol</td>
</tr>
</table></dl>
<dl><dt>Page Parser Generator<dd>
<table class="#doctools_toc">
<tr class="#doctools_toceven" >

<td class="#doctools_tocright">Generator core for compiler of magic(5) files</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/filetypes.html">fileutil::magic::filetype</a></td>
<td class="#doctools_tocright">Procedures implementing file-type recognition</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/mimetypes.html">fileutil::magic::mimetype</a></td>
<td class="#doctools_tocright">Procedures implementing mime-type recognition</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/rtcore.html">fileutil::magic::rt</a></td>
<td class="#doctools_tocright">Runtime core for file type recognition engines written in pure Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fileutil/multi.html">fileutil::multi</a></td>
<td class="#doctools_tocright">Multi-file operation, scatter/gather, standard object</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fileutil/multiop.html">fileutil::multi::op</a></td>
<td class="#doctools_tocright">Multi-file operation, scatter/gather</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fileutil/traverse.html">fileutil_traverse</a></td>
<td class="#doctools_tocright">Iterative directory traversal</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/hook/hook.html">hook</a></td>
<td class="#doctools_tocright">Hooks</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/interp/tcllib_interp.html">interp</a></td>
<td class="#doctools_tocright">Interp creation and aliasing</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/log/log.html">log</a></td>
<td class="#doctools_tocright">Procedures to log messages of libraries and applications.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/log/logger.html">logger</a></td>
<td class="#doctools_tocright">System to control logging of events.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/log/loggerAppender.html">logger::appender</a></td>
<td class="#doctools_tocright">Collection of predefined appenders for logger</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/log/loggerUtils.html">logger::utils</a></td>
<td class="#doctools_tocright">Utilities for logger</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/multiplexer/multiplexer.html">multiplexer</a></td>
<td class="#doctools_tocright">One-to-many communication with sockets.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/pluginmgr/pluginmgr.html">pluginmgr</a></td>
<td class="#doctools_tocright">Manage a plugin</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/profiler/profiler.html">profiler</a></td>
<td class="#doctools_tocright">Tcl source code profiler</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/snit/snit.html">snit</a></td>
<td class="#doctools_tocright">Snit's Not Incr Tcl</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/snit/snitfaq.html">snitfaq</a></td>
<td class="#doctools_tocright">Snit Frequently Asked Questions</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/stooop/stooop.html">stooop</a></td>
<td class="#doctools_tocright">Object oriented extension.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/stooop/switched.html">switched</a></td>
<td class="#doctools_tocright">switch/option management.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/tie/tie.html">tie</a></td>
<td class="#doctools_tocright">Array persistence</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/tie/tie_std.html">tie</a></td>
<td class="#doctools_tocright">Array persistence, standard data sources</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/uev/uevent.html">uevent</a></td>
<td class="#doctools_tocright">User events</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/wip/wip.html">wip</a></td>
<td class="#doctools_tocright">Word Interpreter</td>
</tr>
</table></dl>
<dl><dt>System<dd>
<table class="#doctools_toc">
<tr class="#doctools_toceven" >

<td class="#doctools_tocright">Generator core for compiler of magic(5) files</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/filetypes.html">fileutil::magic::filetype</a></td>
<td class="#doctools_tocright">Procedures implementing file-type recognition</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/mimetypes.html">fileutil::magic::mimetype</a></td>
<td class="#doctools_tocright">Procedures implementing mime-type recognition</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/fumagic/rtcore.html">fileutil::magic::rt</a></td>
<td class="#doctools_tocright">Runtime core for file type recognition engines written in pure Tcl</td>
</tr>
</table></dl>
<dl><dt>generator<dd>
<table class="#doctools_toc">
<tr class="#doctools_toceven" >

<td class="#doctools_tocleft" ><a href="tcllib/files/modules/try/tcllib_throw.html">throw</a></td>
<td class="#doctools_tocright">throw - Throw an error exception with a message</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/try/tcllib_try.html">try</a></td>
<td class="#doctools_tocright">try - Trap and process errors and exceptions</td>
</tr>







</table></dl>
<dl><dt>uev<dd>
<table class="#doctools_toc">
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="tcllib/files/modules/uev/uevent.html">uevent</a></td>
<td class="#doctools_tocright">User events</td>
</tr>

This package provides a command for the recognition of file types in
pure Tcl\&.
.PP
The core part of the recognizer was generated from a "magic(5)" file
containing the checks to perform to recognize files, and associated
file-types\&.
.PP
\fIBeware!\fR This recognizer is large, about 276 Kilobyte of
generated Tcl code\&.
.TP
\fB::fileutil::magic::filetype\fR \fIfilename\fR
This command is similar to the command \fBfileutil::fileType\fR\&.
.sp
The output of the command for the specified file is a string
describing the type of the file\&.
.sp
This list will be empty if the type of the file is not recognized\&.
.PP
.SH REFERENCES
.IP [1]
\fIFile(1) sources\fR [ftp://ftp\&.astron\&.com/pub/file/]
This site contains the current sources for the file command, including
the magic definitions used by it\&. The latter were used by us to
generate this recognizer\&.

'\"
'\" Generated from file 'mimetypes\&.man' by tcllib/doctools with format 'nroff'
'\"
.TH "fileutil::magic::mimetype" n 1\&.0\&.2 tcllib "file utilities"
.\" The -*- nroff -*- definitions below are for supplemental macros used
.\" in Tcl/Tk manual entries.
.\"
.\" .AP type name in/out ?indent?
.\"	Start paragraph describing an argument to a library procedure.
.\"	type is type of argument (int, etc.), in/out is either "in", "out",
.\"	or "in/out" to describe whether procedure reads or modifies arg,
.\"	and indent is equivalent to second arg of .IP (shouldn't ever be
.\"	needed;  use .AS below instead)
.\"
.\" .AS ?type? ?name?
.\"	Give maximum sizes of arguments for setting tab stops.  Type and
.\"	name are examples of largest possible arguments that will be passed
.\"	to .AP later.  If args are omitted, default tab stops are used.
.\"
.\" .BS
.\"	Start box enclosure.  From here until next .BE, everything will be
.\"	enclosed in one large box.
.\"
.\" .BE
.\"	End of box enclosure.
.\"
.\" .CS
.\"	Begin code excerpt.
.\"
.\" .CE
.\"	End code excerpt.
.\"
.\" .VS ?version? ?br?
.\"	Begin vertical sidebar, for use in marking newly-changed parts
.\"	of man pages.  The first argument is ignored and used for recording
.\"	the version when the .VS was added, so that the sidebars can be
.\"	found and removed when they reach a certain age.  If another argument
.\"	is present, then a line break is forced before starting the sidebar.
.\"
.\" .VE
.\"	End of vertical sidebar.
.\"
.\" .DS
.\"	Begin an indented unfilled display.
.\"
.\" .DE
.\"	End of indented unfilled display.
.\"
.\" .SO ?manpage?
.\"	Start of list of standard options for a Tk widget. The manpage
.\"	argument defines where to look up the standard options; if
.\"	omitted, defaults to "options". The options follow on successive
.\"	lines, in three columns separated by tabs.
.\"
.\" .SE
.\"	End of list of standard options for a Tk widget.
.\"
.\" .OP cmdName dbName dbClass
.\"	Start of description of a specific option.  cmdName gives the
.\"	option's name as specified in the class command, dbName gives
.\"	the option's name in the option database, and dbClass gives
.\"	the option's class in the option database.
.\"
.\" .UL arg1 arg2
.\"	Print arg1 underlined, then print arg2 normally.
.\"
.\" .QW arg1 ?arg2?
.\"	Print arg1 in quotes, then arg2 normally (for trailing punctuation).
.\"
.\" .PQ arg1 ?arg2?
.\"	Print an open parenthesis, arg1 in quotes, then arg2 normally
.\"	(for trailing punctuation) and then a closing parenthesis.
.\"
.\"	# Set up traps and other miscellaneous stuff for Tcl/Tk man pages.
.if t .wh -1.3i ^B
.nr ^l \n(.l
.ad b
.\"	# Start an argument description
.de AP
.ie !"\\$4"" .TP \\$4
.el \{\
.   ie !"\\$2"" .TP \\n()Cu
.   el          .TP 15
.\}
.ta \\n()Au \\n()Bu
.ie !"\\$3"" \{\
\&\\$1 \\fI\\$2\\fP (\\$3)
.\".b
.\}
.el \{\
.br
.ie !"\\$2"" \{\
\&\\$1	\\fI\\$2\\fP
.\}
.el \{\
\&\\fI\\$1\\fP
.\}
.\}
..
.\"	# define tabbing values for .AP
.de AS
.nr )A 10n
.if !"\\$1"" .nr )A \\w'\\$1'u+3n
.nr )B \\n()Au+15n
.\"
.if !"\\$2"" .nr )B \\w'\\$2'u+\\n()Au+3n
.nr )C \\n()Bu+\\w'(in/out)'u+2n
..
.AS Tcl_Interp Tcl_CreateInterp in/out
.\"	# BS - start boxed text
.\"	# ^y = starting y location
.\"	# ^b = 1
.de BS
.br
.mk ^y
.nr ^b 1u
.if n .nf
.if n .ti 0
.if n \l'\\n(.lu\(ul'
.if n .fi
..
.\"	# BE - end boxed text (draw box now)
.de BE
.nf
.ti 0
.mk ^t
.ie n \l'\\n(^lu\(ul'
.el \{\
.\"	Draw four-sided box normally, but don't draw top of
.\"	box if the box started on an earlier page.
.ie !\\n(^b-1 \{\
\h'-1.5n'\L'|\\n(^yu-1v'\l'\\n(^lu+3n\(ul'\L'\\n(^tu+1v-\\n(^yu'\l'|0u-1.5n\(ul'
.\}
.el \}\
\h'-1.5n'\L'|\\n(^yu-1v'\h'\\n(^lu+3n'\L'\\n(^tu+1v-\\n(^yu'\l'|0u-1.5n\(ul'
.\}
.\}
.fi
.br
.nr ^b 0
..
.\"	# VS - start vertical sidebar
.\"	# ^Y = starting y location
.\"	# ^v = 1 (for troff;  for nroff this doesn't matter)
.de VS
.if !"\\$2"" .br
.mk ^Y
.ie n 'mc \s12\(br\s0
.el .nr ^v 1u
..
.\"	# VE - end of vertical sidebar
.de VE
.ie n 'mc
.el \{\
.ev 2
.nf
.ti 0
.mk ^t
\h'|\\n(^lu+3n'\L'|\\n(^Yu-1v\(bv'\v'\\n(^tu+1v-\\n(^Yu'\h'-|\\n(^lu+3n'
.sp -1
.fi
.ev
.\}
.nr ^v 0
..
.\"	# Special macro to handle page bottom:  finish off current
.\"	# box/sidebar if in box/sidebar mode, then invoked standard
.\"	# page bottom macro.
.de ^B
.ev 2
'ti 0
'nf
.mk ^t
.if \\n(^b \{\
.\"	Draw three-sided box if this is the box's first page,
.\"	draw two sides but no top otherwise.
.ie !\\n(^b-1 \h'-1.5n'\L'|\\n(^yu-1v'\l'\\n(^lu+3n\(ul'\L'\\n(^tu+1v-\\n(^yu'\h'|0u'\c
.el \h'-1.5n'\L'|\\n(^yu-1v'\h'\\n(^lu+3n'\L'\\n(^tu+1v-\\n(^yu'\h'|0u'\c
.\}
.if \\n(^v \{\
.nr ^x \\n(^tu+1v-\\n(^Yu
\kx\h'-\\nxu'\h'|\\n(^lu+3n'\ky\L'-\\n(^xu'\v'\\n(^xu'\h'|0u'\c
.\}
.bp
'fi
.ev
.if \\n(^b \{\
.mk ^y
.nr ^b 2
.\}
.if \\n(^v \{\
.mk ^Y
.\}
..
.\"	# DS - begin display
.de DS
.RS
.nf
.sp
..
.\"	# DE - end display
.de DE
.fi
.RE
.sp
..
.\"	# SO - start of list of standard options
.de SO
'ie '\\$1'' .ds So \\fBoptions\\fR
'el .ds So \\fB\\$1\\fR
.SH "STANDARD OPTIONS"
.LP
.nf
.ta 5.5c 11c
.ft B
..
.\"	# SE - end of list of standard options
.de SE
.fi
.ft R
.LP
See the \\*(So manual entry for details on the standard options.
..
.\"	# OP - start of full description for a single option
.de OP
.LP
.nf
.ta 4c
Command-Line Name:	\\fB\\$1\\fR
Database Name:	\\fB\\$2\\fR
Database Class:	\\fB\\$3\\fR
.fi
.IP
..
.\"	# CS - begin code excerpt
.de CS
.RS
.nf
.ta .25i .5i .75i 1i
..
.\"	# CE - end code excerpt
.de CE
.fi
.RE
..
.\"	# UL - underline word
.de UL
\\$1\l'|0\(ul'\\$2
..
.\"	# QW - apply quotation marks to word
.de QW
.ie '\\*(lq'"' ``\\$1''\\$2
.\"" fix emacs highlighting
.el \\*(lq\\$1\\*(rq\\$2
..
.\"	# PQ - apply parens and quotation marks to word
.de PQ
.ie '\\*(lq'"' (``\\$1''\\$2)\\$3
.\"" fix emacs highlighting
.el (\\*(lq\\$1\\*(rq\\$2)\\$3
..
.\"	# QR - quoted range
.de QR
.ie '\\*(lq'"' ``\\$1''\\-``\\$2''\\$3
.\"" fix emacs highlighting
.el \\*(lq\\$1\\*(rq\\-\\*(lq\\$2\\*(rq\\$3
..
.\"	# MT - "empty" string
.de MT
.QW ""
..
.BS
.SH NAME
fileutil::magic::mimetype \- Procedures implementing mime-type recognition
.SH SYNOPSIS
package require \fBTcl  8\&.4\fR
.sp
package require \fBfileutil::magic::mimetype  ?1\&.0\&.2?\fR
.sp
\fB::fileutil::magic::mimetype\fR \fIfilename\fR
.sp
.BE
.SH DESCRIPTION
.PP
This package provides a command for the recognition of file types in
pure Tcl\&. The output is standardized to mime-types\&.
.PP
The core part of the recognizer was generated from a "magic(5)" file
containing the checks to perform to recognize files, and associated
mime-types\&.
.TP
\fB::fileutil::magic::mimetype\fR \fIfilename\fR
This command is similar to the command \fBfileutil::fileType\fR\&.
.sp
The output of the command for the specified file is not a list of
attributes describing the type of the file, but a list of standard
mime-types the file may have\&.
.sp
This list will be empty if the type of the file is not recognized\&.
.PP
.SH REFERENCES
.IP [1]
\fIFile(1) sources\fR [ftp://ftp\&.astron\&.com/pub/file/]
This site contains the current sources for the file command, including
the magic definitions used by it\&. The latter were used by us to
generate this recognizer\&.
.PP
.SH "BUGS, IDEAS, FEEDBACK"
This document, and the package it describes, will undoubtedly contain
bugs and other problems\&.
Please report such in the category \fIfileutil :: magic\fR of the
\fITcllib Trackers\fR [http://core\&.tcl\&.tk/tcllib/reportlist]\&.
Please also report any ideas for enhancements you may have for either
package and/or documentation\&.
.SH "SEE ALSO"
file(1), fileutil, magic(5)
.SH KEYWORDS
file recognition, file type, file utilities, mime, type
.SH CATEGORY
Programming tools

.BS
.SH NAME
fileutil::magic::rt \- Runtime core for file type recognition engines written in pure Tcl
.SH SYNOPSIS
package require \fBTcl  8\&.4\fR
.sp
package require \fBfileutil::magic::rt  ?1\&.0?\fR




.sp
\fB::fileutil::magic::rt::open\fR \fIfilename\fR
.sp
\fB::fileutil::magic::rt::close\fR
.sp
\fB::fileutil::magic::rt::file_start\fR \fIname\fR
.sp
\fB::fileutil::magic::rt::result\fR ?\fImsg\fR?
.sp
\fB::fileutil::magic::rt::resultv\fR ?\fImsg\fR?
.sp
\fB::fileutil::magic::rt::emit\fR \fImsg\fR
.sp
\fB::fileutil::magic::rt::offset\fR \fIwhere\fR
.sp
\fB::fileutil::magic::rt::Nv\fR \fItype\fR \fIoffset\fR ?\fIqual\fR?
.sp
\fB::fileutil::magic::rt::N\fR \fItype\fR \fIoffset\fR \fIcomp\fR \fIval\fR ?\fIqual\fR?
.sp
\fB::fileutil::magic::rt::Nvx\fR \fIatlevel\fR \fItype\fR \fIoffset\fR ?\fIqual\fR?
.sp
\fB::fileutil::magic::rt::Nx\fR \fIatlevel\fR \fItype\fR \fIoffset\fR \fIcomp\fR \fIval\fR ?\fIqual\fR?
.sp
\fB::fileutil::magic::rt::S\fR \fIoffset\fR \fIcomp\fR \fIval\fR ?\fIqual\fR?
.sp
\fB::fileutil::magic::rt::Sx\fR \fIatlevel\fR \fIoffset\fR \fIcomp\fR \fIval\fR ?\fIqual\fR?
.sp
\fB::fileutil::magic::rt::L\fR \fInewlevel\fR
.sp
\fB::fileutil::magic::rt::I\fR \fIbase\fR \fItype\fR \fIdelta\fR
.sp
\fB::fileutil::magic::rt::R\fR \fIoffset\fR


.sp
.BE
.SH DESCRIPTION
.PP
This package provides the runtime core for file type recognition
engines written in pure Tcl and is thus used by all other packages in
this module, i\&.e\&. the two frontend packages
\fBfileutil::magic::mimetypes\fR and
\fBfileutil::magic::filetypes\fR, and the two engine compiler
packages \fBfileutil::magic::cgen\fR and
\fBfileutil::magic::cfront\fR\&.
.SH COMMANDS
.TP






\fB::fileutil::magic::rt::open\fR \fIfilename\fR
This command initializes the runtime and prepares the file
\fIfilename\fR for use by the system\&.
This command has to be invoked first, before any other command of this
package\&.
.sp
The command returns the channel handle of the opened file as its

.CE
.sp
The special comparison operator \fBx\fR signals that no comparison
should be done, or, in other words, that the fetched value will always
match \fIval\fR\&.
.TP
\fB::fileutil::magic::rt::Nvx\fR \fIatlevel\fR \fItype\fR \fIoffset\fR ?\fIqual\fR?
This command behaves like \fB::fileutil::magic::rt::Nv\fR, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level \fIatlevel\fR, for later use by
\fB::fileutil::magic::rt::R\fR\&.
.TP
\fB::fileutil::magic::rt::Nx\fR \fIatlevel\fR \fItype\fR \fIoffset\fR \fIcomp\fR \fIval\fR ?\fIqual\fR?
This command behaves like \fB::fileutil::magic::rt::N\fR, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level \fIatlevel\fR, for later use by
\fB::fileutil::magic::rt::R\fR\&.
.TP
\fB::fileutil::magic::rt::S\fR \fIoffset\fR \fIcomp\fR \fIval\fR ?\fIqual\fR?
This command behaves like \fB::fileutil::magic::rt::N\fR, except that
it fetches and compares strings, not numeric data\&. The fetched value
is also stored in the internal string buffer instead of the numeric
buffer\&.
.TP
\fB::fileutil::magic::rt::Sx\fR \fIatlevel\fR \fIoffset\fR \fIcomp\fR \fIval\fR ?\fIqual\fR?
This command behaves like \fB::fileutil::magic::rt::S\fR, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level \fIatlevel\fR, for later use by
\fB::fileutil::magic::rt::R\fR\&.
.TP
\fB::fileutil::magic::rt::L\fR \fInewlevel\fR
This command sets the current level in the calling context to
\fInewlevel\fR\&. The command returns the empty string as its result\&.
.TP
\fB::fileutil::magic::rt::I\fR \fIbase\fR \fItype\fR \fIdelta\fR

This command handles base locations specified relative to the end of
the last field one level above\&.
.sp
In other words, the command computes an absolute location in the file
based on the relative \fIoffset\fR and returns it as its result\&. The
base the offset is added to is the last location remembered for the
level in the calling context\&.



.PP
.SH "NUMERIC TYPES"
.TP
\fBbyte\fR
8-bit integer
.TP
\fBshort\fR

'\"
'\" Generated from file 'math_geometry\&.man' by tcllib/doctools with format 'nroff'
'\" Copyright (c) 2001 by Ideogramic ApS and other parties
'\" Copyright (c) 2004 by Arjen Markus
'\" Copyright (c) 2010 by Andreas Kupries
'\" Copyright (c) 2010 by Kevin Kenny
'\"
.TH "math::geometry" n 1\&.1\&.3 tcllib "Tcl Math Library"
.\" The -*- nroff -*- definitions below are for supplemental macros used
.\" in Tcl/Tk manual entries.
.\"
.\" .AP type name in/out ?indent?
.\"	Start paragraph describing an argument to a library procedure.
.\"	type is type of argument (int, etc.), in/out is either "in", "out",
.\"	or "in/out" to describe whether procedure reads or modifies arg,

.de MT
.QW ""
..
.BS
.SH NAME
math::geometry \- Geometrical computations
.SH SYNOPSIS
package require \fBTcl  ?8\&.3?\fR
.sp
package require \fBmath::geometry  ?1\&.1\&.3?\fR
.sp
\fB::math::geometry::+\fR \fIpoint1\fR \fIpoint2\fR
.sp
\fB::math::geometry::-\fR \fIpoint1\fR \fIpoint2\fR
.sp
\fB::math::geometry::p\fR \fIx\fR \fIy\fR
.sp

\fB::math::geometry::intervalsOverlap\fR \fIy1\fR \fIy2\fR \fIy3\fR \fIy4\fR \fIstrict\fR
.sp
\fB::math::geometry::rectanglesOverlap\fR \fIP1\fR \fIP2\fR \fIQ1\fR \fIQ2\fR \fIstrict\fR
.sp
\fB::math::geometry::bbox\fR \fIpolyline\fR
.sp
\fB::math::geometry::pointInsidePolygon\fR \fIP\fR \fIpolyline\fR


.sp
\fB::math::geometry::rectangleInsidePolygon\fR \fIP1\fR \fIP2\fR \fIpolyline\fR
.sp
\fB::math::geometry::areaPolygon\fR \fIpolygon\fR










.sp
.BE
.SH DESCRIPTION
.PP
The \fBmath::geometry\fR package is a collection of functions for
computations and manipulations on two-dimensional geometrical objects,
such as points, lines and polygons\&.

list \fIP\fR
Coordinates of the point
.TP
list \fIpolyline\fR
The polyline to be examined
.RE
.sp
















.TP
\fB::math::geometry::rectangleInsidePolygon\fR \fIP1\fR \fIP2\fR \fIpolyline\fR
Determine if a rectangle is completely inside a polygon\&. If polygon
touches the rectangle, then the rectangle is not complete inside the
polygon\&.
.RS
.TP

\fB::math::geometry::areaPolygon\fR \fIpolygon\fR
Calculate the area of a polygon\&.
.RS
.TP
list \fIpolygon\fR
The polygon in question
.RE






















































.PP
.SH REFERENCES
.IP [1]
\fIPolygon Intersection\fR [http:/wiki\&.tcl\&.tk/12070]
.IP [2]
\fIhttp://en\&.wikipedia\&.org/wiki/Line-line_intersection\fR
.IP [3]

\fB::math::statistics::t-test-mean\fR \fIdata\fR \fIest_mean\fR \fIest_stdev\fR \fIalpha\fR
.sp
\fB::math::statistics::test-normal\fR \fIdata\fR \fIsignificance\fR
.sp
\fB::math::statistics::lillieforsFit\fR \fIdata\fR
.sp
\fB::math::statistics::test-Duckworth\fR \fIlist1\fR \fIlist2\fR \fIsignificance\fR


.sp
\fB::math::statistics::quantiles\fR \fIdata\fR \fIconfidence\fR
.sp
\fB::math::statistics::quantiles\fR \fIlimits\fR \fIcounts\fR \fIconfidence\fR
.sp
\fB::math::statistics::autocorr\fR \fIdata\fR
.sp

\fB::math::statistics::cdf-weibull\fR \fIscale\fR \fIshape\fR \fIvalue\fR
.sp
\fB::math::statistics::cdf-gumbel\fR \fIlocation\fR \fIscale\fR \fIvalue\fR
.sp
\fB::math::statistics::cdf-pareto\fR \fIscale\fR \fIshape\fR \fIvalue\fR
.sp
\fB::math::statistics::cdf-cauchy\fR \fIlocation\fR \fIscale\fR \fIvalue\fR


.sp
\fB::math::statistics::empirical-distribution\fR \fIvalues\fR
.sp
\fB::math::statistics::random-normal\fR \fImean\fR \fIstdev\fR \fInumber\fR
.sp
\fB::math::statistics::random-lognormal\fR \fImean\fR \fIstdev\fR \fInumber\fR
.sp

float \fIsignificance\fR
- Significance level (one of 0\&.01, 0\&.05, 0\&.10, 0\&.15 or 0\&.20)\&. For compatibility
reasons the values "1-significance", 0\&.80, 0\&.85, 0\&.90, 0\&.95 or 0\&.99 are also accepted\&.
.RE
.sp
Compatibility issue: the original implementation and documentation used the term "confidence" and used a value
1-significance (see ticket 2812473fff)\&. This has been corrected as of version 0\&.9\&.3\&.

.TP
\fB::math::statistics::lillieforsFit\fR \fIdata\fR
Returns the goodness of fit to a normal distribution according to
Lilliefors\&. The higher the number, the more likely the data are indeed
normally distributed\&. The test requires at least \fIfive\fR data
points\&.
.RS

.TP
list \fIlist2\fR
- Second list of data
.TP
float \fIsignificance\fR
- Significance level (either 0\&.05, 0\&.01 or 0\&.001)
.RE
























.sp
.TP
\fB::math::statistics::quantiles\fR \fIdata\fR \fIconfidence\fR
Return the quantiles for a given set of data
.RS
.sp
.TP

.IP \(bu
The Gumbel distribution
.IP \(bu
The Weibull distribution
.IP \(bu
The Cauchy distribution
.IP \(bu


PM - binomial,F\&.
.PP
In principle for each distribution one has procedures for:
.IP \(bu
The probability density (pdf-*)
.IP \(bu
The cumulative density (cdf-*)
.IP \(bu

.TP
float \fIlocation\fR
- Location parameter
.TP
float \fIscale\fR
- Scale parameter
.TP
















float \fIvalue\fR
- Value for which the probability is required
.RE
.sp
.TP
\fB::math::statistics::empirical-distribution\fR \fIvalues\fR
Return a list of values and their empirical probability\&. The values are sorted in increasing order\&.

'\"
'\" Generated from file 'pki\&.man' by tcllib/doctools with format 'nroff'
'\" Copyright (c) 2010, 2011, 2012, 2013, Roy Keene, Andreas Kupries
'\"
.TH "pki" n 0\&.6 tcllib "public key encryption"
.\" The -*- nroff -*- definitions below are for supplemental macros used
.\" in Tcl/Tk manual entries.
.\"
.\" .AP type name in/out ?indent?
.\"	Start paragraph describing an argument to a library procedure.
.\"	type is type of argument (int, etc.), in/out is either "in", "out",
.\"	or "in/out" to describe whether procedure reads or modifies arg,

..
.BS
.SH NAME
pki \- Implementation of the public key cipher
.SH SYNOPSIS
package require \fBTcl  8\&.5\fR
.sp
package require \fBpki  ?0\&.6?\fR
.sp
\fB::pki::encrypt\fR ?\fI-binary\fR? ?\fI-hex\fR? ?\fI-pad\fR? ?\fI-nopad\fR? ?\fI-priv\fR? ?\fI-pub\fR? ?\fI--\fR? \fIinput\fR \fIkey\fR
.sp
\fB::pki::decrypt\fR ?\fI-binary\fR? ?\fI-hex\fR? ?\fI-unpad\fR? ?\fI-nounpad\fR? ?\fI-priv\fR? ?\fI-pub\fR? ?\fI--\fR? \fIinput\fR \fIkey\fR
.sp
\fB::pki::sign\fR \fIinput\fR \fIkey\fR ?\fIalgo\fR?
.sp

.TP
\fBfiles/modules/fumagic/cgen\&.n\fR
fileutil::magic::cgen
.TP
\fBfiles/modules/fumagic/filetypes\&.n\fR
fileutil::magic::filetype
.TP
\fBfiles/modules/fumagic/mimetypes\&.n\fR
fileutil::magic::mimetype
.TP
\fBfiles/modules/fumagic/rtcore\&.n\fR
fileutil::magic::rt
.RE
file type
.RS
.TP
\fBfiles/modules/fumagic/cfront\&.n\fR
fileutil::magic::cfront
.TP
\fBfiles/modules/fumagic/cgen\&.n\fR
fileutil::magic::cgen
.TP
\fBfiles/modules/fumagic/filetypes\&.n\fR
fileutil::magic::filetype
.TP
\fBfiles/modules/fumagic/mimetypes\&.n\fR
fileutil::magic::mimetype
.TP
\fBfiles/modules/fumagic/rtcore\&.n\fR
fileutil::magic::rt
.RE
file utilities
.RS
.TP
\fBfiles/modules/fileutil/fileutil\&.n\fR
fileutil
.TP
\fBfiles/modules/fumagic/cfront\&.n\fR
fileutil::magic::cfront
.TP
\fBfiles/modules/fumagic/cgen\&.n\fR
fileutil::magic::cgen
.TP
\fBfiles/modules/fumagic/filetypes\&.n\fR
fileutil::magic::filetype
.TP
\fBfiles/modules/fumagic/mimetypes\&.n\fR
fileutil::magic::mimetype
.TP
\fBfiles/modules/fumagic/rtcore\&.n\fR
fileutil::magic::rt
.TP
\fBfiles/modules/fileutil/multi\&.n\fR
fileutil::multi
.TP
\fBfiles/modules/fileutil/multiop\&.n\fR

.TP
\fBfiles/modules/fumagic/cfront\&.n\fR
fileutil::magic::cfront
.TP
\fBfiles/modules/fumagic/cgen\&.n\fR
fileutil::magic::cgen
.TP
\fBfiles/modules/fumagic/mimetypes\&.n\fR
fileutil::magic::mimetype
.TP
\fBfiles/modules/fumagic/rtcore\&.n\fR
fileutil::magic::rt
.TP
\fBfiles/modules/mime/mime\&.n\fR
mime
.TP
\fBfiles/modules/mime/smtp\&.n\fR

nns_intro
.TP
\fBfiles/apps/nnsd\&.n\fR
nnsd
.TP
\fBfiles/apps/nnslog\&.n\fR
nnslog



.RE
namespace unknown
.RS
.TP
\fBfiles/modules/namespacex/namespacex\&.n\fR
namespacex
.RE

nameserv::server
.TP
\fBfiles/modules/nns/nns_intro\&.n\fR
nns_intro
.TP
\fBfiles/apps/nnsd\&.n\fR
nnsd



.RE
service
.RS
.TP
\fBfiles/modules/log/logger\&.n\fR
logger
.RE

.TP
\fBfiles/modules/fumagic/cgen\&.n\fR
fileutil::magic::cgen
.TP
\fBfiles/modules/fumagic/filetypes\&.n\fR
fileutil::magic::filetype
.TP
\fBfiles/modules/fumagic/mimetypes\&.n\fR
fileutil::magic::mimetype
.TP
\fBfiles/modules/fumagic/rtcore\&.n\fR
fileutil::magic::rt
.TP
\fBfiles/modules/snit/snit\&.n\fR
snit
.RE
Type checking

.TP
\fBfileutil::magic::cgen\fR
\fIfiles/modules/fumagic/cgen\&.n\fR: Generator core for compiler of magic(5) files
.TP
\fBfileutil::magic::filetype\fR
\fIfiles/modules/fumagic/filetypes\&.n\fR: Procedures implementing file-type recognition
.TP
\fBfileutil::magic::mimetype\fR
\fIfiles/modules/fumagic/mimetypes\&.n\fR: Procedures implementing mime-type recognition
.TP
\fBfileutil::magic::rt\fR
\fIfiles/modules/fumagic/rtcore\&.n\fR: Runtime core for file type recognition engines written in pure Tcl
.TP
\fBfileutil::multi\fR
\fIfiles/modules/fileutil/multi\&.n\fR: Multi-file operation, scatter/gather, standard object
.TP
\fBfileutil::multi::op\fR

.TP
\fBtreeql\fR
\fIfiles/modules/treeql/treeql\&.n\fR: Query tree objects
.TP
\fBtry\fR
\fIfiles/modules/try/tcllib_try\&.n\fR: try - Trap and process errors and exceptions
.TP



\fBuevent\fR
\fIfiles/modules/uev/uevent\&.n\fR: User events
.TP
\fBuevent::onidle\fR
\fIfiles/modules/uev/uevent_onidle\&.n\fR: Request merging and deferal to idle time
.TP
\fBunicode\fR

<td class="#doctools_idxleft" width="35%"><a name="key31"> file </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/tie/tie_std.html"> tie </a> &#183; <a href="tcllib/files/modules/tie/tie.html"> tie </a> &#183; <a href="tcllib/files/modules/uri/uri.html"> uri </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key116"> file recognition </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key118"> file type </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key115"> file utilities </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fileutil/fileutil.html"> fileutil </a> &#183; <a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a> &#183; <a href="tcllib/files/modules/fileutil/multi.html"> fileutil::multi </a> &#183; <a href="tcllib/files/modules/fileutil/multiop.html"> fileutil::multi::op </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key385"> filesystem </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/map/map_slippy_cache.html"> map::slippy::cache </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>

<td class="#doctools_idxleft" width="35%"><a name="key756"> method reference </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/tool/meta.html"> oo::util </a> &#183; <a href="tcllib/files/modules/ooutil/ooutil.html"> oo::util </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key230"> mime </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a> &#183; <a href="tcllib/files/modules/mime/mime.html"> mime </a> &#183; <a href="tcllib/files/modules/mime/smtp.html"> smtp </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key461"> minimal spanning tree </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/struct/graphops.html"> struct::graph::op </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>

</td></tr>
<tr class="#doctools_idxheader"><th colspan="2">
<a name="c17">Keywords: N</a>
</th></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key29"> name service </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/nns/nns_client.html"> nameserv </a> &#183; <a href="tcllib/files/modules/nns/nns_auto.html"> nameserv::auto </a> &#183; <a href="tcllib/files/modules/nns/nns_common.html"> nameserv::common </a> &#183; <a href="tcllib/files/modules/nns/nns_protocol.html"> nameserv::protocol </a> &#183; <a href="tcllib/files/modules/nns/nns_server.html"> nameserv::server </a> &#183; <a href="tcllib/files/apps/nns.html"> nns </a> &#183; <a href="tcllib/files/modules/nns/nns_intro.html"> nns_intro </a> &#183; <a href="tcllib/files/apps/nnsd.html"> nnsd </a> &#183; <a href="tcllib/files/apps/nnslog.html"> nnslog </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key86"> namespace unknown </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/namespacex/namespacex.html"> namespacex </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>

<td class="#doctools_idxleft" width="35%"><a name="key109"> serialization </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/bee/bee.html"> bee </a> &#183; <a href="tcllib/files/modules/doctools2idx/export_docidx.html"> doctools::idx::export::docidx </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_html.html"> doctools::idx::export::html </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_json.html"> doctools::idx::export::json </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_nroff.html"> doctools::idx::export::nroff </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_text.html"> doctools::idx::export::text </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_export_wiki.html"> doctools::idx::export::wiki </a> &#183; <a href="tcllib/files/modules/doctools2idx/idx_structure.html"> doctools::idx::structure </a> &#183; <a href="tcllib/files/modules/doctools2toc/export_doctoc.html"> doctools::toc::export::doctoc </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_html.html"> doctools::toc::export::html </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_json.html"> doctools::toc::export::json </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_nroff.html"> doctools::toc::export::nroff </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_text.html"> doctools::toc::export::text </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_export_wiki.html"> doctools::toc::export::wiki </a> &#183; <a href="tcllib/files/modules/doctools2toc/toc_structure.html"> doctools::toc::structure </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_export_container.html"> pt::peg::export::container </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_export_json.html"> pt::peg::export::json </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_export_peg.html"> pt::peg::export::peg </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_from_json.html"> pt::peg::from::json </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_from_peg.html"> pt::peg::from::peg </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_import_json.html"> pt::peg::import::json </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_import_peg.html"> pt::peg::import::peg </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_container.html"> pt::peg::to::container </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_cparam.html"> pt::peg::to::cparam </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_json.html"> pt::peg::to::json </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> &#183; <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> &#183; <a href="tcllib/files/modules/struct/graph.html"> struct::graph </a> &#183; <a href="tcllib/files/modules/struct/struct_tree.html"> struct::tree </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key65"> server </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/map/map_geocode_nominatim.html"> map::geocode::nominatim </a> &#183; <a href="tcllib/files/modules/map/map_slippy_fetcher.html"> map::slippy::fetcher </a> &#183; <a href="tcllib/files/modules/nns/nns_common.html"> nameserv::common </a> &#183; <a href="tcllib/files/modules/nns/nns_server.html"> nameserv::server </a> &#183; <a href="tcllib/files/modules/nns/nns_intro.html"> nns_intro </a> &#183; <a href="tcllib/files/apps/nnsd.html"> nnsd </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key90"> service </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/log/logger.html"> logger </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>

<td class="#doctools_idxleft" width="35%"><a name="key839"> twitter </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/oauth/oauth.html"> oauth </a>
</td></tr>
<tr class="#doctools_idxodd" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key117"> type </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/fileutil/fileutil.html"> fileutil </a> &#183; <a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> &#183; <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> &#183; <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> &#183; <a href="tcllib/files/modules/fumagic/mimetypes.html"> fileutil::magic::mimetype </a> &#183; <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a> &#183; <a href="tcllib/files/modules/snit/snit.html"> snit </a>
</td></tr>
<tr class="#doctools_idxeven" valign=top>
<td class="#doctools_idxleft" width="35%"><a name="key57"> Type checking </a></td>
<td class="#doctools_idxright" width="65%">
<a href="tcllib/files/modules/valtype/valtype_common.html"> valtype::common </a> &#183; <a href="tcllib/files/modules/valtype/cc_amex.html"> valtype::creditcard::amex </a> &#183; <a href="tcllib/files/modules/valtype/cc_discover.html"> valtype::creditcard::discover </a> &#183; <a href="tcllib/files/modules/valtype/cc_mastercard.html"> valtype::creditcard::mastercard </a> &#183; <a href="tcllib/files/modules/valtype/cc_visa.html"> valtype::creditcard::visa </a> &#183; <a href="tcllib/files/modules/valtype/ean13.html"> valtype::gs1::ean13 </a> &#183; <a href="tcllib/files/modules/valtype/iban.html"> valtype::iban </a> &#183; <a href="tcllib/files/modules/valtype/imei.html"> valtype::imei </a> &#183; <a href="tcllib/files/modules/valtype/isbn.html"> valtype::isbn </a> &#183; <a href="tcllib/files/modules/valtype/luhn.html"> valtype::luhn </a> &#183; <a href="tcllib/files/modules/valtype/luhn5.html"> valtype::luhn5 </a> &#183; <a href="tcllib/files/modules/valtype/usnpi.html"> valtype::usnpi </a> &#183; <a href="tcllib/files/modules/valtype/verhoeff.html"> valtype::verhoeff </a>
</td></tr>
<tr class="#doctools_idxheader"><th colspan="2">

</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>This package provides a command for the recognition of file types in
pure Tcl.</p>
<p>The core part of the recognizer was generated from a &quot;magic(5)&quot; file
containing the checks to perform to recognize files, and associated
file-types.</p>
<p><em>Beware!</em> This recognizer is large, about 276 Kilobyte of
generated Tcl code.</p>
<dl class="doctools_definitions">
<dt><a name="1"><b class="cmd">::fileutil::magic::filetype</b> <i class="arg">filename</i></a></dt>
<dd><p>This command is similar to the command <b class="cmd">fileutil::fileType</b>.</p>
<p>The output of the command for the specified file is a string
describing the type of the file.</p>
<p>This list will be empty if the type of the file is not recognized.</p></dd>
</dl>
</div>
<div id="section2" class="doctools_section"><h2><a name="section2">REFERENCES</a></h2>
<ol class="doctools_enumerated">
<li><p><a href="ftp://ftp.astron.com/pub/file/">File(1) sources</a>
This site contains the current sources for the file command, including
the magic definitions used by it. The latter were used by us to

<html><head>
<title>fileutil::magic::mimetype - file utilities</title>
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<! -- Generated from file 'mimetypes.man' by tcllib/doctools with format 'html'
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<div class="doctools">
<h1 class="doctools_title">fileutil::magic::mimetype(n) 1.0.2 tcllib &quot;file utilities&quot;</h1>
<div id="name" class="doctools_section"><h2><a name="name">Name</a></h2>
<p>fileutil::magic::mimetype - Procedures implementing mime-type recognition</p>
</div>
<div id="toc" class="doctools_section"><h2><a name="toc">Table Of Contents</a></h2>
<ul class="doctools_toc">
<li class="doctools_section"><a href="#toc">Table Of Contents</a></li>
<li class="doctools_section"><a href="#synopsis">Synopsis</a></li>
<li class="doctools_section"><a href="#section1">Description</a></li>
<li class="doctools_section"><a href="#section2">REFERENCES</a></li>
<li class="doctools_section"><a href="#section3">Bugs, Ideas, Feedback</a></li>
<li class="doctools_section"><a href="#see-also">See Also</a></li>
<li class="doctools_section"><a href="#keywords">Keywords</a></li>
<li class="doctools_section"><a href="#category">Category</a></li>
</ul>
</div>
<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl 8.4</b></li>
<li>package require <b class="pkgname">fileutil::magic::mimetype <span class="opt">?1.0.2?</span></b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::fileutil::magic::mimetype</b> <i class="arg">filename</i></a></li>
</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>This package provides a command for the recognition of file types in
pure Tcl. The output is standardized to mime-types.</p>
<p>The core part of the recognizer was generated from a &quot;magic(5)&quot; file
containing the checks to perform to recognize files, and associated
mime-types.</p>
<dl class="doctools_definitions">
<dt><a name="1"><b class="cmd">::fileutil::magic::mimetype</b> <i class="arg">filename</i></a></dt>
<dd><p>This command is similar to the command <b class="cmd">fileutil::fileType</b>.</p>
<p>The output of the command for the specified file is not a list of
attributes describing the type of the file, but a list of standard
mime-types the file may have.</p>
<p>This list will be empty if the type of the file is not recognized.</p></dd>
</dl>
</div>
<div id="section2" class="doctools_section"><h2><a name="section2">REFERENCES</a></h2>
<ol class="doctools_enumerated">
<li><p><a href="ftp://ftp.astron.com/pub/file/">File(1) sources</a>
This site contains the current sources for the file command, including
the magic definitions used by it. The latter were used by us to
generate this recognizer.</p></li>
</ol>
</div>
<div id="section3" class="doctools_section"><h2><a name="section3">Bugs, Ideas, Feedback</a></h2>
<p>This document, and the package it describes, will undoubtedly contain
bugs and other problems.
Please report such in the category <em>fileutil :: magic</em> of the
<a href="http://core.tcl.tk/tcllib/reportlist">Tcllib Trackers</a>.
Please also report any ideas for enhancements you may have for either
package and/or documentation.</p>
</div>
<div id="see-also" class="doctools_section"><h2><a name="see-also">See Also</a></h2>
<p>file(1), <a href="../fileutil/fileutil.html">fileutil</a>, magic(5)</p>
</div>
<div id="keywords" class="doctools_section"><h2><a name="keywords">Keywords</a></h2>
<p><a href="../../../../index.html#key116">file recognition</a>, <a href="../../../../index.html#key118">file type</a>, <a href="../../../../index.html#key115">file utilities</a>, <a href="../../../../index.html#key230">mime</a>, <a href="../../../../index.html#key117">type</a></p>
</div>
<div id="category" class="doctools_section"><h2><a name="category">Category</a></h2>
<p>Programming tools</p>
</div>
</div></body></html>

<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl 8.4</b></li>
<li>package require <b class="pkgname">fileutil::magic::rt <span class="opt">?1.0?</span></b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::fileutil::magic::rt::open</b> <i class="arg">filename</i></a></li>
<li><a href="#2"><b class="cmd">::fileutil::magic::rt::close</b></a></li>


<li><a href="#3"><b class="cmd">::fileutil::magic::rt::file_start</b> <i class="arg">name</i></a></li>
<li><a href="#4"><b class="cmd">::fileutil::magic::rt::result</b> <span class="opt">?<i class="arg">msg</i>?</span></a></li>
<li><a href="#5"><b class="cmd">::fileutil::magic::rt::resultv</b> <span class="opt">?<i class="arg">msg</i>?</span></a></li>
<li><a href="#6"><b class="cmd">::fileutil::magic::rt::emit</b> <i class="arg">msg</i></a></li>
<li><a href="#7"><b class="cmd">::fileutil::magic::rt::offset</b> <i class="arg">where</i></a></li>
<li><a href="#8"><b class="cmd">::fileutil::magic::rt::Nv</b> <i class="arg">type</i> <i class="arg">offset</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#9"><b class="cmd">::fileutil::magic::rt::N</b> <i class="arg">type</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#10"><b class="cmd">::fileutil::magic::rt::Nvx</b> <i class="arg">atlevel</i> <i class="arg">type</i> <i class="arg">offset</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#11"><b class="cmd">::fileutil::magic::rt::Nx</b> <i class="arg">atlevel</i> <i class="arg">type</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#12"><b class="cmd">::fileutil::magic::rt::S</b> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#13"><b class="cmd">::fileutil::magic::rt::Sx</b> <i class="arg">atlevel</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></li>
<li><a href="#14"><b class="cmd">::fileutil::magic::rt::L</b> <i class="arg">newlevel</i></a></li>
<li><a href="#15"><b class="cmd">::fileutil::magic::rt::I</b> <i class="arg">base</i> <i class="arg">type</i> <i class="arg">delta</i></a></li>
<li><a href="#16"><b class="cmd">::fileutil::magic::rt::R</b> <i class="arg">offset</i></a></li>

</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>This package provides the runtime core for file type recognition
engines written in pure Tcl and is thus used by all other packages in
this module, i.e. the two frontend packages
<b class="package">fileutil::magic::mimetypes</b> and
<b class="package">fileutil::magic::filetypes</b>, and the two engine compiler
packages <b class="package"><a href="cgen.html">fileutil::magic::cgen</a></b> and
<b class="package"><a href="cfront.html">fileutil::magic::cfront</a></b>.</p>
</div>
<div id="section2" class="doctools_section"><h2><a name="section2">COMMANDS</a></h2>
<dl class="doctools_definitions">
<dt><a name="1"><b class="cmd">::fileutil::magic::rt::open</b> <i class="arg">filename</i></a></dt>




<dd><p>This command initializes the runtime and prepares the file
<i class="arg">filename</i> for use by the system.
This command has to be invoked first, before any other command of this
package.</p>
<p>The command returns the channel handle of the opened file as its
result.</p></dd>
<dt><a name="2"><b class="cmd">::fileutil::magic::rt::close</b></a></dt>
<dd><p>This command closes the last file opened via
<b class="cmd">::fileutil::magic::rt::open</b> and shuts the runtime down.
This command has to be invoked last, after the file has been dealt
with completely.
Afterward another invokation of <b class="cmd">::fileutil::magic::rt::open</b>  is
required to process another file.</p>
<p>This command returns the empty string as its result.</p></dd>
<dt><a name="3"><b class="cmd">::fileutil::magic::rt::file_start</b> <i class="arg">name</i></a></dt>
<dd><p>This command marks the start of a magic file when debugging. It
returns the empty string as its result.</p></dd>
<dt><a name="4"><b class="cmd">::fileutil::magic::rt::result</b> <span class="opt">?<i class="arg">msg</i>?</span></a></dt>
<dd><p>This command returns the current result and stops processing.</p>
<p>If <i class="arg">msg</i> is specified its text is added to the result before it is
returned. See <b class="cmd">::fileutil::magic::rt::emit</b> for the allowed
special character sequences.</p></dd>
<dt><a name="5"><b class="cmd">::fileutil::magic::rt::resultv</b> <span class="opt">?<i class="arg">msg</i>?</span></a></dt>
<dd><p>This command returns the current result.
In contrast to <b class="cmd">::fileutil::magic::rt::result</b> processing
continues.</p>
<p>If <i class="arg">msg</i> is specified its text is added to the result before it is
returned. See <b class="cmd">::fileutil::magic::rt::emit</b> for the allowed
special character sequences.</p></dd>
<dt><a name="6"><b class="cmd">::fileutil::magic::rt::emit</b> <i class="arg">msg</i></a></dt>
<dd><p>This command adds the text <i class="arg">msg</i> to the result buffer. The
message may contain the following special character sequences. They
will be replaced with buffered values before the message is added to
the result. The command returns the empty string as its result.</p>
<dl class="doctools_definitions">
<dt><b class="const">\b</b></dt>
<dd><p>This sequence is removed</p></dd>
<dt><b class="const">%s</b></dt>
<dd><p>Replaced with the last buffered string value.</p></dd>
<dt><b class="const">%ld</b></dt>
<dd><p>Replaced with the last buffered numeric value.</p></dd>
<dt><b class="const">%d</b></dt>
<dd><p>See above.</p></dd>
</dl></dd>
<dt><a name="8"><b class="cmd">::fileutil::magic::rt::Nv</b> <i class="arg">type</i> <i class="arg">offset</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command fetches the numeric value with <i class="arg">type</i> from the
absolute location <i class="arg">offset</i> and returns it as its result. The
fetched value is further stored in the numeric buffer.</p>
<p>If <i class="arg">qual</i> is specified it is considered to be a mask and applied
to the fetched value before it is stored and returned. It has to have
the form of a partial Tcl bit-wise expression, i.e.</p>
<pre class="doctools_example">
	&amp; number
</pre>
<p>For example:</p>
<pre class="doctools_example">
	Nv lelong 0 &amp;0x8080ffff
</pre>
<p>For the possible types see section <span class="sectref"><a href="#section3">NUMERIC TYPES</a></span>.</p></dd>
<dt><a name="9"><b class="cmd">::fileutil::magic::rt::N</b> <i class="arg">type</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves mostly like <b class="cmd">::fileutil::magic::rt::Nv</b>,
except that it compares the fetched and masked value against <i class="arg">val</i>
as specified with <i class="arg">comp</i> and returns the result of that
comparison.</p>
<p>The argument <i class="arg">comp</i> has to contain one of Tcl's comparison
operators, and the comparison made will be</p>
<pre class="doctools_example">
	&lt;val&gt; &lt;comp&gt; &lt;fetched-and-masked-value&gt;
</pre>
<p>The special comparison operator <b class="const">x</b> signals that no comparison
should be done, or, in other words, that the fetched value will always
match <i class="arg">val</i>.</p></dd>
<dt><a name="10"><b class="cmd">::fileutil::magic::rt::Nvx</b> <i class="arg">atlevel</i> <i class="arg">type</i> <i class="arg">offset</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves like <b class="cmd">::fileutil::magic::rt::Nv</b>, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level <i class="arg">atlevel</i>, for later use by
<b class="cmd">::fileutil::magic::rt::R</b>.</p></dd>
<dt><a name="11"><b class="cmd">::fileutil::magic::rt::Nx</b> <i class="arg">atlevel</i> <i class="arg">type</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves like <b class="cmd">::fileutil::magic::rt::N</b>, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level <i class="arg">atlevel</i>, for later use by
<b class="cmd">::fileutil::magic::rt::R</b>.</p></dd>
<dt><a name="12"><b class="cmd">::fileutil::magic::rt::S</b> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves like <b class="cmd">::fileutil::magic::rt::N</b>, except that
it fetches and compares strings, not numeric data. The fetched value
is also stored in the internal string buffer instead of the numeric
buffer.</p></dd>
<dt><a name="13"><b class="cmd">::fileutil::magic::rt::Sx</b> <i class="arg">atlevel</i> <i class="arg">offset</i> <i class="arg">comp</i> <i class="arg">val</i> <span class="opt">?<i class="arg">qual</i>?</span></a></dt>
<dd><p>This command behaves like <b class="cmd">::fileutil::magic::rt::S</b>, except that
it additionally remembers the location in the file after the fetch in
the calling context, for the level <i class="arg">atlevel</i>, for later use by
<b class="cmd">::fileutil::magic::rt::R</b>.</p></dd>
<dt><a name="14"><b class="cmd">::fileutil::magic::rt::L</b> <i class="arg">newlevel</i></a></dt>
<dd><p>This command sets the current level in the calling context to
<i class="arg">newlevel</i>. The command returns the empty string as its result.</p></dd>
<dt><a name="15"><b class="cmd">::fileutil::magic::rt::I</b> <i class="arg">base</i> <i class="arg">type</i> <i class="arg">delta</i></a></dt>
<dd><p>This command handles base locations specified indirectly through the
contents of the inspected file. It returns the sum of <i class="arg">delta</i> and
the value of numeric <i class="arg">type</i> fetched from the absolute location
<i class="arg">base</i>.</p>
<p>For the possible types see section <span class="sectref"><a href="#section3">NUMERIC TYPES</a></span>.</p></dd>
<dt><a name="16"><b class="cmd">::fileutil::magic::rt::R</b> <i class="arg">offset</i></a></dt>
<dd><p>This command handles base locations specified relative to the end of
the last field one level above.</p>
<p>In other words, the command computes an absolute location in the file
based on the relative <i class="arg">offset</i> and returns it as its result. The
base the offset is added to is the last location remembered for the
level in the calling context.</p></dd>


</dl>
</div>
<div id="section3" class="doctools_section"><h2><a name="section3">NUMERIC TYPES</a></h2>
<dl class="doctools_definitions">
<dt><b class="const">byte</b></dt>
<dd><p>8-bit integer</p></dd>
<dt><b class="const">short</b></dt>

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 ] <hr>
<div class="doctools">
<h1 class="doctools_title">math::geometry(n) 1.1.3 tcllib &quot;Tcl Math Library&quot;</h1>
<div id="name" class="doctools_section"><h2><a name="name">Name</a></h2>
<p>math::geometry - Geometrical computations</p>
</div>
<div id="toc" class="doctools_section"><h2><a name="toc">Table Of Contents</a></h2>
<ul class="doctools_toc">
<li class="doctools_section"><a href="#toc">Table Of Contents</a></li>
<li class="doctools_section"><a href="#synopsis">Synopsis</a></li>
<li class="doctools_section"><a href="#section1">Description</a></li>
<li class="doctools_section"><a href="#section2">PROCEDURES</a></li>
<li class="doctools_section"><a href="#section3">References</a></li>
<li class="doctools_section"><a href="#section4">Bugs, Ideas, Feedback</a></li>
<li class="doctools_section"><a href="#keywords">Keywords</a></li>
<li class="doctools_section"><a href="#category">Category</a></li>
<li class="doctools_section"><a href="#copyright">Copyright</a></li>
</ul>
</div>
<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl <span class="opt">?8.3?</span></b></li>
<li>package require <b class="pkgname">math::geometry <span class="opt">?1.1.3?</span></b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::math::geometry::+</b> <i class="arg">point1</i> <i class="arg">point2</i></a></li>
<li><a href="#2"><b class="cmd">::math::geometry::-</b> <i class="arg">point1</i> <i class="arg">point2</i></a></li>
<li><a href="#3"><b class="cmd">::math::geometry::p</b> <i class="arg">x</i> <i class="arg">y</i></a></li>
<li><a href="#4"><b class="cmd">::math::geometry::distance</b> <i class="arg">point1</i> <i class="arg">point2</i></a></li>
<li><a href="#5"><b class="cmd">::math::geometry::length</b> <i class="arg">point</i></a></li>

<li><a href="#26"><b class="cmd">::math::geometry::findLineIntersection</b> <i class="arg">line1</i> <i class="arg">line2</i></a></li>
<li><a href="#27"><b class="cmd">::math::geometry::polylinesIntersect</b> <i class="arg">polyline1</i> <i class="arg">polyline2</i></a></li>
<li><a href="#28"><b class="cmd">::math::geometry::polylinesBoundingIntersect</b> <i class="arg">polyline1</i> <i class="arg">polyline2</i> <i class="arg">granularity</i></a></li>
<li><a href="#29"><b class="cmd">::math::geometry::intervalsOverlap</b> <i class="arg">y1</i> <i class="arg">y2</i> <i class="arg">y3</i> <i class="arg">y4</i> <i class="arg">strict</i></a></li>
<li><a href="#30"><b class="cmd">::math::geometry::rectanglesOverlap</b> <i class="arg">P1</i> <i class="arg">P2</i> <i class="arg">Q1</i> <i class="arg">Q2</i> <i class="arg">strict</i></a></li>
<li><a href="#31"><b class="cmd">::math::geometry::bbox</b> <i class="arg">polyline</i></a></li>
<li><a href="#32"><b class="cmd">::math::geometry::pointInsidePolygon</b> <i class="arg">P</i> <i class="arg">polyline</i></a></li>

<li><a href="#33"><b class="cmd">::math::geometry::rectangleInsidePolygon</b> <i class="arg">P1</i> <i class="arg">P2</i> <i class="arg">polyline</i></a></li>
<li><a href="#34"><b class="cmd">::math::geometry::areaPolygon</b> <i class="arg">polygon</i></a></li>





</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>The <b class="package">math::geometry</b> package is a collection of functions for
computations and manipulations on two-dimensional geometrical objects,
such as points, lines and polygons.</p>

polygon.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">P</i></dt>
<dd><p>Coordinates of the point</p></dd>
<dt>list <i class="arg">polyline</i></dt>
<dd><p>The polyline to be examined</p></dd>
</dl></dd>












<dt><a name="33"><b class="cmd">::math::geometry::rectangleInsidePolygon</b> <i class="arg">P1</i> <i class="arg">P2</i> <i class="arg">polyline</i></a></dt>
<dd><p>Determine if a rectangle is completely inside a polygon. If polygon
touches the rectangle, then the rectangle is not complete inside the
polygon.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">P1</i></dt>
<dd><p>Upper-left corner of the rectangle</p></dd>
<dt>list <i class="arg">P2</i></dt>
<dd><p>Lower-right corner of the rectangle</p></dd>
<dt>list <i class="arg">polygon</i></dt>
<dd><p>The polygon in question</p></dd>
</dl></dd>
<dt><a name="34"><b class="cmd">::math::geometry::areaPolygon</b> <i class="arg">polygon</i></a></dt>
<dd><p>Calculate the area of a polygon.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">polygon</i></dt>
<dd><p>The polygon in question</p></dd>




































</dl></dd>
</dl>
</div>
<div id="section3" class="doctools_section"><h2><a name="section3">References</a></h2>
<ol class="doctools_enumerated">
<li><p><a href="http:/wiki.tcl.tk/12070">Polygon Intersection</a></p></li>
<li><p><a href="http://en.wikipedia.org/wiki/Line-line_intersection">http://en.wikipedia.org/wiki/Line-line_intersection</a></p></li>

<li><a href="#12"><b class="cmd">::math::statistics::histogram-alt</b> <i class="arg">limits</i> <i class="arg">values</i> <span class="opt">?weights?</span></a></li>
<li><a href="#13"><b class="cmd">::math::statistics::corr</b> <i class="arg">data1</i> <i class="arg">data2</i></a></li>
<li><a href="#14"><b class="cmd">::math::statistics::interval-mean-stdev</b> <i class="arg">data</i> <i class="arg">confidence</i></a></li>
<li><a href="#15"><b class="cmd">::math::statistics::t-test-mean</b> <i class="arg">data</i> <i class="arg">est_mean</i> <i class="arg">est_stdev</i> <i class="arg">alpha</i></a></li>
<li><a href="#16"><b class="cmd">::math::statistics::test-normal</b> <i class="arg">data</i> <i class="arg">significance</i></a></li>
<li><a href="#17"><b class="cmd">::math::statistics::lillieforsFit</b> <i class="arg">data</i></a></li>
<li><a href="#18"><b class="cmd">::math::statistics::test-Duckworth</b> <i class="arg">list1</i> <i class="arg">list2</i> <i class="arg">significance</i></a></li>

<li><a href="#19"><b class="cmd">::math::statistics::quantiles</b> <i class="arg">data</i> <i class="arg">confidence</i></a></li>
<li><a href="#20"><b class="cmd">::math::statistics::quantiles</b> <i class="arg">limits</i> <i class="arg">counts</i> <i class="arg">confidence</i></a></li>
<li><a href="#21"><b class="cmd">::math::statistics::autocorr</b> <i class="arg">data</i></a></li>
<li><a href="#22"><b class="cmd">::math::statistics::crosscorr</b> <i class="arg">data1</i> <i class="arg">data2</i></a></li>
<li><a href="#23"><b class="cmd">::math::statistics::mean-histogram-limits</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></li>
<li><a href="#24"><b class="cmd">::math::statistics::minmax-histogram-limits</b> <i class="arg">min</i> <i class="arg">max</i> <i class="arg">number</i></a></li>
<li><a href="#25"><b class="cmd">::math::statistics::linear-model</b> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">intercept</i></a></li>
<li><a href="#26"><b class="cmd">::math::statistics::linear-residuals</b> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">intercept</i></a></li>
<li><a href="#27"><b class="cmd">::math::statistics::test-2x2</b> <i class="arg">n11</i> <i class="arg">n21</i> <i class="arg">n12</i> <i class="arg">n22</i></a></li>
<li><a href="#28"><b class="cmd">::math::statistics::print-2x2</b> <i class="arg">n11</i> <i class="arg">n21</i> <i class="arg">n12</i> <i class="arg">n22</i></a></li>
<li><a href="#29"><b class="cmd">::math::statistics::control-xbar</b> <i class="arg">data</i> <span class="opt">?nsamples?</span></a></li>
<li><a href="#30"><b class="cmd">::math::statistics::control-Rchart</b> <i class="arg">data</i> <span class="opt">?nsamples?</span></a></li>
<li><a href="#31"><b class="cmd">::math::statistics::test-xbar</b> <i class="arg">control</i> <i class="arg">data</i></a></li>
<li><a href="#32"><b class="cmd">::math::statistics::test-Rchart</b> <i class="arg">control</i> <i class="arg">data</i></a></li>
<li><a href="#33"><b class="cmd">::math::statistics::test-Kruskal-Wallis</b> <i class="arg">confidence</i> <i class="arg">args</i></a></li>
<li><a href="#34"><b class="cmd">::math::statistics::analyse-Kruskal-Wallis</b> <i class="arg">args</i></a></li>
<li><a href="#35"><b class="cmd">::math::statistics::group-rank</b> <i class="arg">args</i></a></li>
<li><a href="#36"><b class="cmd">::math::statistics::test-Wilcoxon</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></li>
<li><a href="#37"><b class="cmd">::math::statistics::spearman-rank</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></li>
<li><a href="#38"><b class="cmd">::math::statistics::spearman-rank-extended</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></li>
<li><a href="#39"><b class="cmd">::math::statistics::kernel-density</b> <i class="arg">data</i> opt <i class="arg">-option value</i> ...</a></li>
<li><a href="#40"><b class="cmd">::math::statistics::tstat</b> <i class="arg">dof</i> <span class="opt">?alpha?</span></a></li>
<li><a href="#41"><b class="cmd">::math::statistics::mv-wls</b> <i class="arg">wt1</i> <i class="arg">weights_and_values</i></a></li>
<li><a href="#42"><b class="cmd">::math::statistics::mv-ols</b> <i class="arg">values</i></a></li>
<li><a href="#43"><b class="cmd">::math::statistics::pdf-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></li>
<li><a href="#44"><b class="cmd">::math::statistics::pdf-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></li>
<li><a href="#45"><b class="cmd">::math::statistics::pdf-exponential</b> <i class="arg">mean</i> <i class="arg">value</i></a></li>
<li><a href="#46"><b class="cmd">::math::statistics::pdf-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">value</i></a></li>
<li><a href="#47"><b class="cmd">::math::statistics::pdf-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">value</i></a></li>
<li><a href="#48"><b class="cmd">::math::statistics::pdf-poisson</b> <i class="arg">mu</i> <i class="arg">k</i></a></li>
<li><a href="#49"><b class="cmd">::math::statistics::pdf-chisquare</b> <i class="arg">df</i> <i class="arg">value</i></a></li>
<li><a href="#50"><b class="cmd">::math::statistics::pdf-student-t</b> <i class="arg">df</i> <i class="arg">value</i></a></li>
<li><a href="#51"><b class="cmd">::math::statistics::pdf-gamma</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></li>
<li><a href="#52"><b class="cmd">::math::statistics::pdf-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></li>
<li><a href="#53"><b class="cmd">::math::statistics::pdf-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></li>
<li><a href="#54"><b class="cmd">::math::statistics::pdf-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></li>
<li><a href="#55"><b class="cmd">::math::statistics::pdf-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></li>
<li><a href="#56"><b class="cmd">::math::statistics::pdf-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></li>
<li><a href="#57"><b class="cmd">::math::statistics::cdf-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></li>
<li><a href="#58"><b class="cmd">::math::statistics::cdf-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></li>
<li><a href="#59"><b class="cmd">::math::statistics::cdf-exponential</b> <i class="arg">mean</i> <i class="arg">value</i></a></li>
<li><a href="#60"><b class="cmd">::math::statistics::cdf-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">value</i></a></li>
<li><a href="#61"><b class="cmd">::math::statistics::cdf-students-t</b> <i class="arg">degrees</i> <i class="arg">value</i></a></li>
<li><a href="#62"><b class="cmd">::math::statistics::cdf-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">value</i></a></li>
<li><a href="#63"><b class="cmd">::math::statistics::cdf-poisson</b> <i class="arg">mu</i> <i class="arg">k</i></a></li>
<li><a href="#64"><b class="cmd">::math::statistics::cdf-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></li>
<li><a href="#65"><b class="cmd">::math::statistics::cdf-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></li>
<li><a href="#66"><b class="cmd">::math::statistics::cdf-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></li>
<li><a href="#67"><b class="cmd">::math::statistics::cdf-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></li>
<li><a href="#68"><b class="cmd">::math::statistics::cdf-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></li>

<li><a href="#69"><b class="cmd">::math::statistics::empirical-distribution</b> <i class="arg">values</i></a></li>
<li><a href="#70"><b class="cmd">::math::statistics::random-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></li>
<li><a href="#71"><b class="cmd">::math::statistics::random-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></li>
<li><a href="#72"><b class="cmd">::math::statistics::random-exponential</b> <i class="arg">mean</i> <i class="arg">number</i></a></li>
<li><a href="#73"><b class="cmd">::math::statistics::random-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">number</i></a></li>
<li><a href="#74"><b class="cmd">::math::statistics::random-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">number</i></a></li>
<li><a href="#75"><b class="cmd">::math::statistics::random-poisson</b> <i class="arg">mu</i> <i class="arg">number</i></a></li>
<li><a href="#76"><b class="cmd">::math::statistics::random-chisquare</b> <i class="arg">df</i> <i class="arg">number</i></a></li>
<li><a href="#77"><b class="cmd">::math::statistics::random-student-t</b> <i class="arg">df</i> <i class="arg">number</i></a></li>
<li><a href="#78"><b class="cmd">::math::statistics::random-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">number</i></a></li>
<li><a href="#79"><b class="cmd">::math::statistics::random-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">number</i></a></li>
<li><a href="#80"><b class="cmd">::math::statistics::random-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">number</i></a></li>
<li><a href="#81"><b class="cmd">::math::statistics::random-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">number</i></a></li>
<li><a href="#82"><b class="cmd">::math::statistics::random-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">number</i></a></li>
<li><a href="#83"><b class="cmd">::math::statistics::histogram-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">limits</i> <i class="arg">number</i></a></li>
<li><a href="#84"><b class="cmd">::math::statistics::incompleteGamma</b> <i class="arg">x</i> <i class="arg">p</i> <span class="opt">?tol?</span></a></li>
<li><a href="#85"><b class="cmd">::math::statistics::incompleteBeta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">x</i> <span class="opt">?tol?</span></a></li>
<li><a href="#86"><b class="cmd">::math::statistics::estimate-pareto</b> <i class="arg">values</i></a></li>
<li><a href="#87"><b class="cmd">::math::statistics::filter</b> <i class="arg">varname</i> <i class="arg">data</i> <i class="arg">expression</i></a></li>
<li><a href="#88"><b class="cmd">::math::statistics::map</b> <i class="arg">varname</i> <i class="arg">data</i> <i class="arg">expression</i></a></li>
<li><a href="#89"><b class="cmd">::math::statistics::samplescount</b> <i class="arg">varname</i> <i class="arg">list</i> <i class="arg">expression</i></a></li>
<li><a href="#90"><b class="cmd">::math::statistics::subdivide</b></a></li>
<li><a href="#91"><b class="cmd">::math::statistics::plot-scale</b> <i class="arg">canvas</i> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">ymin</i> <i class="arg">ymax</i></a></li>
<li><a href="#92"><b class="cmd">::math::statistics::plot-xydata</b> <i class="arg">canvas</i> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">tag</i></a></li>
<li><a href="#93"><b class="cmd">::math::statistics::plot-xyline</b> <i class="arg">canvas</i> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">tag</i></a></li>
<li><a href="#94"><b class="cmd">::math::statistics::plot-tdata</b> <i class="arg">canvas</i> <i class="arg">tdata</i> <i class="arg">tag</i></a></li>
<li><a href="#95"><b class="cmd">::math::statistics::plot-tline</b> <i class="arg">canvas</i> <i class="arg">tdata</i> <i class="arg">tag</i></a></li>
<li><a href="#96"><b class="cmd">::math::statistics::plot-histogram</b> <i class="arg">canvas</i> <i class="arg">counts</i> <i class="arg">limits</i> <i class="arg">tag</i></a></li>
</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>The <b class="package">math::statistics</b> package contains functions and procedures for
basic statistical data analysis, such as:</p>
<ul class="doctools_itemized">

<dt>list <i class="arg">list1</i></dt>
<dd><p>- First list of data</p></dd>
<dt>list <i class="arg">list2</i></dt>
<dd><p>- Second list of data</p></dd>
<dt>float <i class="arg">significance</i></dt>
<dd><p>- Significance level (either 0.05, 0.01 or 0.001)</p></dd>
</dl></dd>

















<dt><a name="19"><b class="cmd">::math::statistics::quantiles</b> <i class="arg">data</i> <i class="arg">confidence</i></a></dt>
<dd><p>Return the quantiles for a given set of data</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of raw data values</p></dd>
<dt>float <i class="arg">confidence</i></dt>
<dd><p>- Confidence level (0.95 or 0.99 for instance) or a list of confidence levels.</p></dd>
</dl></dd>
<dt><a name="20"><b class="cmd">::math::statistics::quantiles</b> <i class="arg">limits</i> <i class="arg">counts</i> <i class="arg">confidence</i></a></dt>
<dd><p>Return the quantiles based on histogram information (alternative to the
call with two arguments)</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">limits</i></dt>
<dd><p>- List of upper limits from histogram</p></dd>
<dt>list <i class="arg">counts</i></dt>
<dd><p>- List of counts for for each interval in histogram</p></dd>
<dt>float <i class="arg">confidence</i></dt>
<dd><p>-  Confidence level (0.95 or 0.99 for instance) or a list of confidence levels.</p></dd>
</dl></dd>
<dt><a name="21"><b class="cmd">::math::statistics::autocorr</b> <i class="arg">data</i></a></dt>
<dd><p>Return the autocorrelation function as a list of values (assuming
equidistance between samples, about 1/2 of the number of raw data)</p>
<p>The correlation is determined in such a way that the first value is
always 1 and all others are equal to or smaller than 1. The number of
values involved will diminish as the &quot;time&quot; (the index in the list of
returned values) increases</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data</i></dt>
<dd><p>- Raw data for which the autocorrelation must be determined</p></dd>
</dl></dd>
<dt><a name="22"><b class="cmd">::math::statistics::crosscorr</b> <i class="arg">data1</i> <i class="arg">data2</i></a></dt>
<dd><p>Return the cross-correlation function as a list of values (assuming
equidistance between samples, about 1/2 of the number of raw data)</p>
<p>The correlation is determined in such a way that the values can never
exceed 1 in magnitude. The number of values involved will diminish
as the &quot;time&quot; (the index in the list of returned values) increases.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data1</i></dt>
<dd><p>- First list of data</p></dd>
<dt>list <i class="arg">data2</i></dt>
<dd><p>- Second list of data</p></dd>
</dl></dd>
<dt><a name="23"><b class="cmd">::math::statistics::mean-histogram-limits</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></dt>
<dd><p>Determine reasonable limits based on mean and standard deviation
for a histogram
Convenience function - the result is suitable for the histogram function.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean of the data</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of limits to generate (defaults to 8)</p></dd>
</dl></dd>
<dt><a name="24"><b class="cmd">::math::statistics::minmax-histogram-limits</b> <i class="arg">min</i> <i class="arg">max</i> <i class="arg">number</i></a></dt>
<dd><p>Determine reasonable limits based on a minimum and maximum for a histogram</p>
<p>Convenience function - the result is suitable for the histogram function.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">min</i></dt>
<dd><p>- Expected minimum</p></dd>
<dt>float <i class="arg">max</i></dt>
<dd><p>- Expected maximum</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of limits to generate (defaults to 8)</p></dd>
</dl></dd>
<dt><a name="25"><b class="cmd">::math::statistics::linear-model</b> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">intercept</i></a></dt>
<dd><p>Determine the coefficients for a linear regression between
two series of data (the model: Y = A + B*X). Returns a list of
parameters describing the fit</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">xdata</i></dt>
<dd><p>- List of independent data</p></dd>
<dt>list <i class="arg">ydata</i></dt>

<li><p>Number of degrees of freedom df</p></li>
<li><p>Standard error of the intercept A</p></li>
<li><p>Significance level of A</p></li>
<li><p>Standard error of the slope B</p></li>
<li><p>Significance level of B</p></li>
</ul></dd>
</dl></dd>
<dt><a name="26"><b class="cmd">::math::statistics::linear-residuals</b> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">intercept</i></a></dt>
<dd><p>Determine the difference between actual data and predicted from
the linear model.</p>
<p>Returns a list of the differences between the actual data and the
predicted values.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">xdata</i></dt>
<dd><p>- List of independent data</p></dd>
<dt>list <i class="arg">ydata</i></dt>
<dd><p>- List of dependent data to be fitted</p></dd>
<dt>boolean <i class="arg">intercept</i></dt>
<dd><p>- (Optional) compute the intercept (1, default) or fit
to a line through the origin (0)</p></dd>
</dl></dd>
<dt><a name="27"><b class="cmd">::math::statistics::test-2x2</b> <i class="arg">n11</i> <i class="arg">n21</i> <i class="arg">n12</i> <i class="arg">n22</i></a></dt>
<dd><p>Determine if two set of samples, each from a binomial distribution,
differ significantly or not (implying a different parameter).</p>
<p>Returns the &quot;chi-square&quot; value, which can be used to the determine the
significance.</p>
<dl class="doctools_arguments">
<dt>int <i class="arg">n11</i></dt>
<dd><p>- Number of outcomes with the first value from the first sample.</p></dd>
<dt>int <i class="arg">n21</i></dt>
<dd><p>- Number of outcomes with the first value from the second sample.</p></dd>
<dt>int <i class="arg">n12</i></dt>
<dd><p>- Number of outcomes with the second value from the first sample.</p></dd>
<dt>int <i class="arg">n22</i></dt>
<dd><p>- Number of outcomes with the second value from the second sample.</p></dd>
</dl></dd>
<dt><a name="28"><b class="cmd">::math::statistics::print-2x2</b> <i class="arg">n11</i> <i class="arg">n21</i> <i class="arg">n12</i> <i class="arg">n22</i></a></dt>
<dd><p>Determine if two set of samples, each from a binomial distribution,
differ significantly or not (implying a different parameter).</p>
<p>Returns a short report, useful in an interactive session.</p>
<dl class="doctools_arguments">
<dt>int <i class="arg">n11</i></dt>
<dd><p>- Number of outcomes with the first value from the first sample.</p></dd>
<dt>int <i class="arg">n21</i></dt>
<dd><p>- Number of outcomes with the first value from the second sample.</p></dd>
<dt>int <i class="arg">n12</i></dt>
<dd><p>- Number of outcomes with the second value from the first sample.</p></dd>
<dt>int <i class="arg">n22</i></dt>
<dd><p>- Number of outcomes with the second value from the second sample.</p></dd>
</dl></dd>
<dt><a name="29"><b class="cmd">::math::statistics::control-xbar</b> <i class="arg">data</i> <span class="opt">?nsamples?</span></a></dt>
<dd><p>Determine the control limits for an xbar chart. The number of data
in each subsample defaults to 4. At least 20 subsamples are required.</p>
<p>Returns the mean, the lower limit, the upper limit and the number of
data per subsample.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of observed data</p></dd>
<dt>int <i class="arg">nsamples</i></dt>
<dd><p>- Number of data per subsample</p></dd>
</dl></dd>
<dt><a name="30"><b class="cmd">::math::statistics::control-Rchart</b> <i class="arg">data</i> <span class="opt">?nsamples?</span></a></dt>
<dd><p>Determine the control limits for an R chart. The number of data
in each subsample (nsamples) defaults to 4. At least 20 subsamples are required.</p>
<p>Returns the mean range, the lower limit, the upper limit and the number
of data per subsample.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of observed data</p></dd>
<dt>int <i class="arg">nsamples</i></dt>
<dd><p>- Number of data per subsample</p></dd>
</dl></dd>
<dt><a name="31"><b class="cmd">::math::statistics::test-xbar</b> <i class="arg">control</i> <i class="arg">data</i></a></dt>
<dd><p>Determine if the data exceed the control limits for the xbar chart.</p>
<p>Returns a list of subsamples (their indices) that indeed violate the
limits.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">control</i></dt>
<dd><p>- Control limits as returned by the &quot;control-xbar&quot; procedure</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of observed data</p></dd>
</dl></dd>
<dt><a name="32"><b class="cmd">::math::statistics::test-Rchart</b> <i class="arg">control</i> <i class="arg">data</i></a></dt>
<dd><p>Determine if the data exceed the control limits for the R chart.</p>
<p>Returns a list of subsamples (their indices) that indeed violate the
limits.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">control</i></dt>
<dd><p>- Control limits as returned by the &quot;control-Rchart&quot; procedure</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of observed data</p></dd>
</dl></dd>
<dt><a name="33"><b class="cmd">::math::statistics::test-Kruskal-Wallis</b> <i class="arg">confidence</i> <i class="arg">args</i></a></dt>
<dd><p>Check if the population medians of two or more groups are equal with a
given confidence level, using the Kruskal-Wallis test.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">confidence</i></dt>
<dd><p>- Confidence level to be used (0-1)</p></dd>
<dt>list <i class="arg">args</i></dt>
<dd><p>- Two or more lists of data</p></dd>
</dl></dd>
<dt><a name="34"><b class="cmd">::math::statistics::analyse-Kruskal-Wallis</b> <i class="arg">args</i></a></dt>
<dd><p>Compute the statistical parameters for the Kruskal-Wallis test.
Returns the Kruskal-Wallis statistic and the probability that that
value would occur assuming the medians of the populations are
equal.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">args</i></dt>
<dd><p>- Two or more lists of data</p></dd>
</dl></dd>
<dt><a name="35"><b class="cmd">::math::statistics::group-rank</b> <i class="arg">args</i></a></dt>
<dd><p>Rank the groups of data with respect to the complete set.
Returns a list consisting of the group ID, the value and the rank
(possibly a rational number, in case of ties) for each data item.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">args</i></dt>
<dd><p>- Two or more lists of data</p></dd>
</dl></dd>
<dt><a name="36"><b class="cmd">::math::statistics::test-Wilcoxon</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></dt>
<dd><p>Compute the Wilcoxon test statistic to determine if two samples have the
same median or not. (The statistic can be regarded as standard normal, if the
sample sizes are both larger than 10. Returns the value of this statistic.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">sample_a</i></dt>
<dd><p>- List of data comprising the first sample</p></dd>
<dt>list <i class="arg">sample_b</i></dt>
<dd><p>- List of data comprising the second sample</p></dd>
</dl></dd>
<dt><a name="37"><b class="cmd">::math::statistics::spearman-rank</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></dt>
<dd><p>Return the Spearman rank correlation as an alternative to the ordinary (Pearson's) correlation
coefficient. The two samples should have the same number of data.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">sample_a</i></dt>
<dd><p>- First list of data</p></dd>
<dt>list <i class="arg">sample_b</i></dt>
<dd><p>- Second list of data</p></dd>
</dl></dd>
<dt><a name="38"><b class="cmd">::math::statistics::spearman-rank-extended</b> <i class="arg">sample_a</i> <i class="arg">sample_b</i></a></dt>
<dd><p>Return the Spearman rank correlation as an alternative to the ordinary (Pearson's) correlation
coefficient as well as additional data. The two samples should have the same number of data.
The procedure returns the correlation coefficient, the number of data pairs used and the
z-score, an approximately standard normal statistic, indicating the significance of the correlation.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">sample_a</i></dt>
<dd><p>- First list of data</p></dd>
<dt>list <i class="arg">sample_b</i></dt>
<dd><p>- Second list of data</p></dd>
</dl></dd>
<dt><a name="39"><b class="cmd">::math::statistics::kernel-density</b> <i class="arg">data</i> opt <i class="arg">-option value</i> ...</a></dt>
<dd><p>]
Return the density function based on kernel density estimation. The procedure is controlled by
a small set of options, each of which is given a reasonable default.</p>
<p>The return value consists of three lists: the centres of the bins, the associated probability
density and a list of computational parameters (begin and end of the interval, mean and standard
deviation and the used bandwidth). The computational parameters can be used for further analysis.</p>
<dl class="doctools_arguments">

<p>In addition to these two, it provides a procedure (tstat)
for calculating the value of the t-statistic for the specified number of
degrees of freedom that is required to demonstrate a given level of
significance.</p>
<p>Note: These procedures depend on the math::linearalgebra package.</p>
<p><em>Description of the procedures</em></p>
<dl class="doctools_definitions">
<dt><a name="40"><b class="cmd">::math::statistics::tstat</b> <i class="arg">dof</i> <span class="opt">?alpha?</span></a></dt>
<dd><p>Returns the value of the t-distribution t* satisfying</p>
<pre class="doctools_example">
    P(t*)  =  1 - alpha/2
    P(-t*) =  alpha/2
</pre>
<p>for the number of degrees of freedom dof.</p>
<p>Given a sample of normally-distributed data x, with an

the given confidence level.</p>
<dl class="doctools_arguments">
<dt>int <i class="arg">dof</i></dt>
<dd><p>Number of degrees of freedom</p></dd>
<dt>float <i class="arg">alpha</i></dt>
<dd><p>Confidence level of the t-distribution. Defaults to 0.05.</p></dd>
</dl></dd>
<dt><a name="41"><b class="cmd">::math::statistics::mv-wls</b> <i class="arg">wt1</i> <i class="arg">weights_and_values</i></a></dt>
<dd><p>Carries out a weighted least squares linear regression for
the data points provided, with weights assigned to each point.</p>
<p>The linear model is of the form</p>
<pre class="doctools_example">
    y = b0 + b1 * x1 + b2 * x2 ... + bN * xN + error
</pre>
<p>and each point satisfies</p>

<dt>list <i class="arg">weights_and_values</i></dt>
<dd><p>A list consisting of: the weight for the first observation, the data
for the first observation (as a sublist), the weight for the second
observation (as a sublist) and so on. The sublists of data are organised
as lists of the value of the dependent variable y and the independent
variables x1, x2 to xN.</p></dd>
</dl></dd>
<dt><a name="42"><b class="cmd">::math::statistics::mv-ols</b> <i class="arg">values</i></a></dt>
<dd><p>Carries out an ordinary least squares linear regression for
the data points provided.</p>
<p>This procedure simply calls ::mvlinreg::wls with the weights
set to 1.0, and returns the same information.</p></dd>
</dl>
<p><em>Example of the use:</em></p>
<pre class="doctools_example">

<li><p>The chi-square distribution</p></li>
<li><p>The student's T distribution</p></li>
<li><p>The Poisson distribution</p></li>
<li><p>The Pareto distribution</p></li>
<li><p>The Gumbel distribution</p></li>
<li><p>The Weibull distribution</p></li>
<li><p>The Cauchy distribution</p></li>

<li><p>PM - binomial,F.</p></li>
</ul>
<p>In principle for each distribution one has procedures for:</p>
<ul class="doctools_itemized">
<li><p>The probability density (pdf-*)</p></li>
<li><p>The cumulative density (cdf-*)</p></li>
<li><p>Quantiles for the given distribution (quantiles-*)</p></li>
<li><p>Histograms for the given distribution (histogram-*)</p></li>
<li><p>List of random values with the given distribution (random-*)</p></li>
</ul>
<p>The following procedures have been implemented:</p>
<dl class="doctools_definitions">
<dt><a name="43"><b class="cmd">::math::statistics::pdf-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a normal distribution with
given mean and standard deviation.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="44"><b class="cmd">::math::statistics::pdf-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a log-normal distribution with
given mean and standard deviation.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="45"><b class="cmd">::math::statistics::pdf-exponential</b> <i class="arg">mean</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for an exponential
distribution with given mean.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="46"><b class="cmd">::math::statistics::pdf-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a uniform
distribution with given extremes.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum value of the distribution</p></dd>
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Maximum value of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="47"><b class="cmd">::math::statistics::pdf-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Gamma
distribution with given shape and rate parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">alpha</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">beta</i></dt>
<dd><p>- Rate parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="48"><b class="cmd">::math::statistics::pdf-poisson</b> <i class="arg">mu</i> <i class="arg">k</i></a></dt>
<dd><p>Return the probability of a given number of occurrences in the same
interval (k) for a Poisson distribution with given mean (mu)</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mu</i></dt>
<dd><p>- Mean number of occurrences</p></dd>
<dt>int <i class="arg">k</i></dt>
<dd><p>- Number of occurences</p></dd>
</dl></dd>
<dt><a name="49"><b class="cmd">::math::statistics::pdf-chisquare</b> <i class="arg">df</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a chi square
distribution with given degrees of freedom</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">df</i></dt>
<dd><p>- Degrees of freedom</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="50"><b class="cmd">::math::statistics::pdf-student-t</b> <i class="arg">df</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Student's t
distribution with given degrees of freedom</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">df</i></dt>
<dd><p>- Degrees of freedom</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="51"><b class="cmd">::math::statistics::pdf-gamma</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Gamma
distribution with given shape and rate parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Rate parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="52"><b class="cmd">::math::statistics::pdf-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Beta
distribution with given shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- First shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Second shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="53"><b class="cmd">::math::statistics::pdf-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Weibull
distribution with given scale and shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="54"><b class="cmd">::math::statistics::pdf-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Gumbel
distribution with given location and shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="55"><b class="cmd">::math::statistics::pdf-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Pareto
distribution with given scale and shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="56"><b class="cmd">::math::statistics::pdf-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></dt>
<dd><p>Return the probability of a given value for a Cauchy
distribution with given location and shape parameters. Note that the Cauchy distribution
has no finite higher-order moments.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="57"><b class="cmd">::math::statistics::cdf-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a normal
distribution with given mean and standard deviation, that is the
probability for values up to the given one.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="58"><b class="cmd">::math::statistics::cdf-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a log-normal
distribution with given mean and standard deviation, that is the
probability for values up to the given one.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="59"><b class="cmd">::math::statistics::cdf-exponential</b> <i class="arg">mean</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for an exponential
distribution with given mean.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="60"><b class="cmd">::math::statistics::cdf-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a uniform
distribution with given extremes.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum value of the distribution</p></dd>
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Maximum value of the distribution</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="61"><b class="cmd">::math::statistics::cdf-students-t</b> <i class="arg">degrees</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Student's t
distribution with given number of degrees.</p>
<dl class="doctools_arguments">
<dt>int <i class="arg">degrees</i></dt>
<dd><p>- Number of degrees of freedom</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="62"><b class="cmd">::math::statistics::cdf-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Gamma
distribution with given shape and rate parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">alpha</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">beta</i></dt>
<dd><p>- Rate parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the cumulative probability is required</p></dd>
</dl></dd>
<dt><a name="63"><b class="cmd">::math::statistics::cdf-poisson</b> <i class="arg">mu</i> <i class="arg">k</i></a></dt>
<dd><p>Return the cumulative probability of a given number of occurrences in
the same interval (k) for a Poisson distribution with given mean (mu).</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mu</i></dt>
<dd><p>- Mean number of occurrences</p></dd>
<dt>int <i class="arg">k</i></dt>
<dd><p>- Number of occurences</p></dd>
</dl></dd>
<dt><a name="64"><b class="cmd">::math::statistics::cdf-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Beta
distribution with given shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- First shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Second shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="65"><b class="cmd">::math::statistics::cdf-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Weibull
distribution with given scale and shape parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="66"><b class="cmd">::math::statistics::cdf-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Gumbel
distribution with given location and scale parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="67"><b class="cmd">::math::statistics::cdf-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Pareto
distribution with given scale and shape parameters</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>
<dt><a name="68"><b class="cmd">::math::statistics::cdf-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">value</i></a></dt>
<dd><p>Return the cumulative probability of a given value for a Cauchy
distribution with given location and scale parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">value</i></dt>
<dd><p>- Value for which the probability is required</p></dd>
</dl></dd>











<dt><a name="69"><b class="cmd">::math::statistics::empirical-distribution</b> <i class="arg">values</i></a></dt>
<dd><p>Return a list of values and their empirical probability. The values are sorted in increasing order.
(The implementation follows the description at the corresponding Wikipedia page)</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">values</i></dt>
<dd><p>- List of data to be examined</p></dd>
</dl></dd>
<dt><a name="70"><b class="cmd">::math::statistics::random-normal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying a normal
distribution with given mean and standard deviation.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="71"><b class="cmd">::math::statistics::random-lognormal</b> <i class="arg">mean</i> <i class="arg">stdev</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying a log-normal
distribution with given mean and standard deviation.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>float <i class="arg">stdev</i></dt>
<dd><p>- Standard deviation of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="72"><b class="cmd">::math::statistics::random-exponential</b> <i class="arg">mean</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying an exponential
distribution with given mean.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mean</i></dt>
<dd><p>- Mean value of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="73"><b class="cmd">::math::statistics::random-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying a uniform
distribution with given extremes.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum value of the distribution</p></dd>
<dt>float <i class="arg">xmax</i></dt>
<dd><p>- Maximum value of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="74"><b class="cmd">::math::statistics::random-gamma</b> <i class="arg">alpha</i> <i class="arg">beta</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Gamma distribution with given shape and rate parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">alpha</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>float <i class="arg">beta</i></dt>
<dd><p>- Rate parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="75"><b class="cmd">::math::statistics::random-poisson</b> <i class="arg">mu</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Poisson distribution with given mean.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">mu</i></dt>
<dd><p>- Mean of the distribution</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="76"><b class="cmd">::math::statistics::random-chisquare</b> <i class="arg">df</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a chi square distribution with given degrees of freedom.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">df</i></dt>
<dd><p>- Degrees of freedom</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="77"><b class="cmd">::math::statistics::random-student-t</b> <i class="arg">df</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Student's t distribution with given degrees of freedom.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">df</i></dt>
<dd><p>- Degrees of freedom</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="78"><b class="cmd">::math::statistics::random-beta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Beta distribution with given shape parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- First shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Second shape parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="79"><b class="cmd">::math::statistics::random-weibull</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Weibull distribution with given scale and shape parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="80"><b class="cmd">::math::statistics::random-gumbel</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Gumbel distribution with given location and scale parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="81"><b class="cmd">::math::statistics::random-pareto</b> <i class="arg">scale</i> <i class="arg">shape</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Pareto distribution with given scale and shape parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>float <i class="arg">shape</i></dt>
<dd><p>- Shape parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="82"><b class="cmd">::math::statistics::random-cauchy</b> <i class="arg">location</i> <i class="arg">scale</i> <i class="arg">number</i></a></dt>
<dd><p>Return a list of &quot;number&quot; random values satisfying
a Cauchy distribution with given location and scale parameters.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">location</i></dt>
<dd><p>- Location parameter</p></dd>
<dt>float <i class="arg">scale</i></dt>
<dd><p>- Scale parameter</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Number of values to be returned</p></dd>
</dl></dd>
<dt><a name="83"><b class="cmd">::math::statistics::histogram-uniform</b> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">limits</i> <i class="arg">number</i></a></dt>
<dd><p>Return the expected histogram for a uniform distribution.</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum value of the distribution</p></dd>
<dt>float <i class="arg">xmax</i></dt>
<dd><p>- Maximum value of the distribution</p></dd>
<dt>list <i class="arg">limits</i></dt>
<dd><p>- Upper limits for the buckets in the histogram</p></dd>
<dt>int <i class="arg">number</i></dt>
<dd><p>- Total number of &quot;observations&quot; in the histogram</p></dd>
</dl></dd>
<dt><a name="84"><b class="cmd">::math::statistics::incompleteGamma</b> <i class="arg">x</i> <i class="arg">p</i> <span class="opt">?tol?</span></a></dt>
<dd><p>Evaluate the incomplete Gamma integral</p>
<pre class="doctools_example">
                    1       / x               p-1
      P(p,x) =  --------   |   dt exp(-t) * t
                Gamma(p)  / 0
</pre>
<dl class="doctools_arguments">
<dt>float <i class="arg">x</i></dt>
<dd><p>- Value of x (limit of the integral)</p></dd>
<dt>float <i class="arg">p</i></dt>
<dd><p>- Value of p in the integrand</p></dd>
<dt>float <i class="arg">tol</i></dt>
<dd><p>- Required tolerance (default: 1.0e-9)</p></dd>
</dl></dd>
<dt><a name="85"><b class="cmd">::math::statistics::incompleteBeta</b> <i class="arg">a</i> <i class="arg">b</i> <i class="arg">x</i> <span class="opt">?tol?</span></a></dt>
<dd><p>Evaluate the incomplete Beta integral</p>
<dl class="doctools_arguments">
<dt>float <i class="arg">a</i></dt>
<dd><p>- First shape parameter</p></dd>
<dt>float <i class="arg">b</i></dt>
<dd><p>- Second shape parameter</p></dd>
<dt>float <i class="arg">x</i></dt>
<dd><p>- Value of x (limit of the integral)</p></dd>
<dt>float <i class="arg">tol</i></dt>
<dd><p>- Required tolerance (default: 1.0e-9)</p></dd>
</dl></dd>
<dt><a name="86"><b class="cmd">::math::statistics::estimate-pareto</b> <i class="arg">values</i></a></dt>
<dd><p>Estimate the parameters for the Pareto distribution that comes closest to the given values.
Returns the estimated scale and shape parameters, as well as the standard error for the shape parameter.</p>
<dl class="doctools_arguments">
<dt>list <i class="arg">values</i></dt>
<dd><p>- List of values, assumed to be distributed according to a Pareto distribution</p></dd>
</dl></dd>
</dl>
<p>TO DO: more function descriptions to be added</p>
</div>
<div id="section5" class="doctools_section"><h2><a name="section5">DATA MANIPULATION</a></h2>
<p>The data manipulation procedures act on lists or lists of lists:</p>
<dl class="doctools_definitions">
<dt><a name="87"><b class="cmd">::math::statistics::filter</b> <i class="arg">varname</i> <i class="arg">data</i> <i class="arg">expression</i></a></dt>
<dd><p>Return a list consisting of the data for which the logical
expression is true (this command works analogously to the command <b class="cmd"><a href="../../../../index.html#key218">foreach</a></b>).</p>
<dl class="doctools_arguments">
<dt>string <i class="arg">varname</i></dt>
<dd><p>- Name of the variable used in the expression</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of data</p></dd>
<dt>string <i class="arg">expression</i></dt>
<dd><p>- Logical expression using the variable name</p></dd>
</dl></dd>
<dt><a name="88"><b class="cmd">::math::statistics::map</b> <i class="arg">varname</i> <i class="arg">data</i> <i class="arg">expression</i></a></dt>
<dd><p>Return a list consisting of the data that are transformed via the
expression.</p>
<dl class="doctools_arguments">
<dt>string <i class="arg">varname</i></dt>
<dd><p>- Name of the variable used in the expression</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of data</p></dd>
<dt>string <i class="arg">expression</i></dt>
<dd><p>- Expression to be used to transform (map) the data</p></dd>
</dl></dd>
<dt><a name="89"><b class="cmd">::math::statistics::samplescount</b> <i class="arg">varname</i> <i class="arg">list</i> <i class="arg">expression</i></a></dt>
<dd><p>Return a list consisting of the <i class="term">counts</i> of all data in the
sublists of the &quot;list&quot; argument for which the expression is true.</p>
<dl class="doctools_arguments">
<dt>string <i class="arg">varname</i></dt>
<dd><p>- Name of the variable used in the expression</p></dd>
<dt>list <i class="arg">data</i></dt>
<dd><p>- List of sublists, each containing the data</p></dd>
<dt>string <i class="arg">expression</i></dt>
<dd><p>- Logical expression to test the data (defaults to
&quot;true&quot;).</p></dd>
</dl></dd>
<dt><a name="90"><b class="cmd">::math::statistics::subdivide</b></a></dt>
<dd><p>Routine <em>PM</em> - not implemented yet</p></dd>
</dl>
</div>
<div id="section6" class="doctools_section"><h2><a name="section6">PLOT PROCEDURES</a></h2>
<p>The following simple plotting procedures are available:</p>
<dl class="doctools_definitions">
<dt><a name="91"><b class="cmd">::math::statistics::plot-scale</b> <i class="arg">canvas</i> <i class="arg">xmin</i> <i class="arg">xmax</i> <i class="arg">ymin</i> <i class="arg">ymax</i></a></dt>
<dd><p>Set the scale for a plot in the given canvas. All plot routines expect
this function to be called first. There is no automatic scaling
provided.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>float <i class="arg">xmin</i></dt>
<dd><p>- Minimum x value</p></dd>
<dt>float <i class="arg">xmax</i></dt>
<dd><p>- Maximum x value</p></dd>
<dt>float <i class="arg">ymin</i></dt>
<dd><p>- Minimum y value</p></dd>
<dt>float <i class="arg">ymax</i></dt>
<dd><p>- Maximum y value</p></dd>
</dl></dd>
<dt><a name="92"><b class="cmd">::math::statistics::plot-xydata</b> <i class="arg">canvas</i> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple XY plot in the given canvas - the data are
shown as a collection of dots. The tag can be used to manipulate the
appearance.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>float <i class="arg">xdata</i></dt>
<dd><p>- Series of independent data</p></dd>
<dt>float <i class="arg">ydata</i></dt>
<dd><p>- Series of dependent data</p></dd>
<dt>string <i class="arg">tag</i></dt>
<dd><p>- Tag to give to the plotted data (defaults to xyplot)</p></dd>
</dl></dd>
<dt><a name="93"><b class="cmd">::math::statistics::plot-xyline</b> <i class="arg">canvas</i> <i class="arg">xdata</i> <i class="arg">ydata</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple XY plot in the given canvas - the data are
shown as a line through the data points. The tag can be used to
manipulate the appearance.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>list <i class="arg">xdata</i></dt>
<dd><p>- Series of independent data</p></dd>
<dt>list <i class="arg">ydata</i></dt>
<dd><p>- Series of dependent data</p></dd>
<dt>string <i class="arg">tag</i></dt>
<dd><p>- Tag to give to the plotted data (defaults to xyplot)</p></dd>
</dl></dd>
<dt><a name="94"><b class="cmd">::math::statistics::plot-tdata</b> <i class="arg">canvas</i> <i class="arg">tdata</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple XY plot in the given canvas - the data are
shown as a collection of dots. The horizontal coordinate is equal to the
index. The tag can be used to manipulate the appearance.
This type of presentation is suitable for autocorrelation functions for
instance or for inspecting the time-dependent behaviour.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>list <i class="arg">tdata</i></dt>
<dd><p>- Series of dependent data</p></dd>
<dt>string <i class="arg">tag</i></dt>
<dd><p>- Tag to give to the plotted data (defaults to xyplot)</p></dd>
</dl></dd>
<dt><a name="95"><b class="cmd">::math::statistics::plot-tline</b> <i class="arg">canvas</i> <i class="arg">tdata</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple XY plot in the given canvas - the data are
shown as a line. See plot-tdata for an explanation.</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>list <i class="arg">tdata</i></dt>
<dd><p>- Series of dependent data</p></dd>
<dt>string <i class="arg">tag</i></dt>
<dd><p>- Tag to give to the plotted data (defaults to xyplot)</p></dd>
</dl></dd>
<dt><a name="96"><b class="cmd">::math::statistics::plot-histogram</b> <i class="arg">canvas</i> <i class="arg">counts</i> <i class="arg">limits</i> <i class="arg">tag</i></a></dt>
<dd><p>Create a simple histogram in the given canvas</p>
<dl class="doctools_arguments">
<dt>widget <i class="arg">canvas</i></dt>
<dd><p>- Canvas widget to use</p></dd>
<dt>list <i class="arg">counts</i></dt>
<dd><p>- Series of bucket counts</p></dd>
<dt>list <i class="arg">limits</i></dt>

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 ] <hr>
<div class="doctools">
<h1 class="doctools_title">pki(n) 0.6 tcllib &quot;public key encryption&quot;</h1>
<div id="name" class="doctools_section"><h2><a name="name">Name</a></h2>
<p>pki - Implementation of the public key cipher</p>
</div>
<div id="toc" class="doctools_section"><h2><a name="toc">Table Of Contents</a></h2>
<ul class="doctools_toc">
<li class="doctools_section"><a href="#toc">Table Of Contents</a></li>
<li class="doctools_section"><a href="#synopsis">Synopsis</a></li>

<li class="doctools_section"><a href="#copyright">Copyright</a></li>
</ul>
</div>
<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl 8.5</b></li>
<li>package require <b class="pkgname">pki <span class="opt">?0.6?</span></b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::pki::encrypt</b> <span class="opt">?<i class="arg">-binary</i>?</span> <span class="opt">?<i class="arg">-hex</i>?</span> <span class="opt">?<i class="arg">-pad</i>?</span> <span class="opt">?<i class="arg">-nopad</i>?</span> <span class="opt">?<i class="arg">-priv</i>?</span> <span class="opt">?<i class="arg">-pub</i>?</span> <span class="opt">?<i class="arg">--</i>?</span> <i class="arg">input</i> <i class="arg">key</i></a></li>
<li><a href="#2"><b class="cmd">::pki::decrypt</b> <span class="opt">?<i class="arg">-binary</i>?</span> <span class="opt">?<i class="arg">-hex</i>?</span> <span class="opt">?<i class="arg">-unpad</i>?</span> <span class="opt">?<i class="arg">-nounpad</i>?</span> <span class="opt">?<i class="arg">-priv</i>?</span> <span class="opt">?<i class="arg">-pub</i>?</span> <span class="opt">?<i class="arg">--</i>?</span> <i class="arg">input</i> <i class="arg">key</i></a></li>
<li><a href="#3"><b class="cmd">::pki::sign</b> <i class="arg">input</i> <i class="arg">key</i> <span class="opt">?<i class="arg">algo</i>?</span></a></li>
<li><a href="#4"><b class="cmd">::pki::verify</b> <i class="arg">signedmessage</i> <i class="arg">plaintext</i> <i class="arg">key</i> <span class="opt">?<i class="arg">algo</i>?</span></a></li>
<li><a href="#5"><b class="cmd">::pki::key</b> <i class="arg">key</i> <span class="opt">?<i class="arg">password</i>?</span> <span class="opt">?<i class="arg">encodePem</i>?</span></a></li>

<td class="#doctools_tocright">Generator core for compiler of magic(5) files</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/fumagic/filetypes.html">fileutil::magic::filetype</a></td>
<td class="#doctools_tocright">Procedures implementing file-type recognition</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/fumagic/mimetypes.html">fileutil::magic::mimetype</a></td>
<td class="#doctools_tocright">Procedures implementing mime-type recognition</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/fumagic/rtcore.html">fileutil::magic::rt</a></td>
<td class="#doctools_tocright">Runtime core for file type recognition engines written in pure Tcl</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/fileutil/multi.html">fileutil::multi</a></td>
<td class="#doctools_tocright">Multi-file operation, scatter/gather, standard object</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/fileutil/multiop.html">fileutil::multi::op</a></td>
<td class="#doctools_tocright">Multi-file operation, scatter/gather</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/fileutil/traverse.html">fileutil_traverse</a></td>
<td class="#doctools_tocright">Iterative directory traversal</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ftp/ftp.html">ftp</a></td>
<td class="#doctools_tocright">Client-side tcl implementation of the ftp protocol</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ftp/ftp_geturl.html">ftp::geturl</a></td>
<td class="#doctools_tocright">Uri handler for ftp urls</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ftpd/ftpd.html">ftpd</a></td>
<td class="#doctools_tocright">Tcl FTP server implementation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/generator/generator.html">generator</a></td>
<td class="#doctools_tocright">Procedures for creating and using generators.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/gpx/gpx.html">gpx</a></td>
<td class="#doctools_tocright">Extracts waypoints, tracks and routes from GPX files</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_aycock/aycock.html">grammar::aycock</a></td>
<td class="#doctools_tocright">Aycock-Horspool-Earley parser generator for Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_fa/fa.html">grammar::fa</a></td>
<td class="#doctools_tocright">Create and manipulate finite automatons</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_fa/dacceptor.html">grammar::fa::dacceptor</a></td>
<td class="#doctools_tocright">Create and use deterministic acceptors</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_fa/dexec.html">grammar::fa::dexec</a></td>
<td class="#doctools_tocright">Execute deterministic finite automatons</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_fa/faop.html">grammar::fa::op</a></td>
<td class="#doctools_tocright">Operations on finite automatons</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_cpu.html">grammar::me::cpu</a></td>
<td class="#doctools_tocright">Virtual machine implementation II for parsing token streams</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_cpucore.html">grammar::me::cpu::core</a></td>
<td class="#doctools_tocright">ME virtual machine state manipulation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/gasm.html">grammar::me::cpu::gasm</a></td>
<td class="#doctools_tocright">ME assembler</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_tcl.html">grammar::me::tcl</a></td>
<td class="#doctools_tocright">Virtual machine implementation I for parsing token streams</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_util.html">grammar::me::util</a></td>
<td class="#doctools_tocright">AST utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_ast.html">grammar::me_ast</a></td>
<td class="#doctools_tocright">Various representations of ASTs</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_intro.html">grammar::me_intro</a></td>
<td class="#doctools_tocright">Introduction to virtual machines for parsing token streams</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_me/me_vm.html">grammar::me_vm</a></td>
<td class="#doctools_tocright">Virtual machine for parsing token streams</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_peg/peg.html">grammar::peg</a></td>
<td class="#doctools_tocright">Create and manipulate parsing expression grammars</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/grammar_peg/peg_interp.html">grammar::peg::interp</a></td>
<td class="#doctools_tocright">Interpreter for parsing expression grammars</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/hook/hook.html">hook</a></td>
<td class="#doctools_tocright">Hooks</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/html/html.html">html</a></td>
<td class="#doctools_tocright">Procedures to generate HTML structures</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/htmlparse/htmlparse.html">htmlparse</a></td>
<td class="#doctools_tocright">Procedures to parse HTML strings</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/yaml/huddle.html">huddle</a></td>
<td class="#doctools_tocright">Create and manipulate huddle object</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ident/ident.html">ident</a></td>
<td class="#doctools_tocright">Ident protocol client</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/imap4/imap4.html">imap4</a></td>
<td class="#doctools_tocright">imap client-side tcl implementation of imap protocol</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/inifile/ini.html">inifile</a></td>
<td class="#doctools_tocright">Parsing of Windows INI files</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/interp/tcllib_interp.html">interp</a></td>
<td class="#doctools_tocright">Interp creation and aliasing</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/irc/irc.html">irc</a></td>
<td class="#doctools_tocright">Create IRC connection and interface.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/javascript/javascript.html">javascript</a></td>
<td class="#doctools_tocright">Procedures to generate HTML and Java Script structures.</td>
</tr>




<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/jpeg/jpeg.html">jpeg</a></td>
<td class="#doctools_tocright">JPEG querying and manipulation of meta data</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/json/json.html">json</a></td>
<td class="#doctools_tocright">JSON parser</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/json/json_write.html">json::write</a></td>
<td class="#doctools_tocright">JSON generation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/lambda/lambda.html">lambda</a></td>
<td class="#doctools_tocright">Utility commands for anonymous procedures</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ldap/ldap.html">ldap</a></td>
<td class="#doctools_tocright">LDAP client</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ldap/ldapx.html">ldapx</a></td>
<td class="#doctools_tocright">LDAP extended object interface</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/log/log.html">log</a></td>
<td class="#doctools_tocright">Procedures to log messages of libraries and applications.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/log/logger.html">logger</a></td>
<td class="#doctools_tocright">System to control logging of events.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/log/loggerAppender.html">logger::appender</a></td>
<td class="#doctools_tocright">Collection of predefined appenders for logger</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/log/loggerUtils.html">logger::utils</a></td>
<td class="#doctools_tocright">Utilities for logger</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/map/map_geocode_nominatim.html">map::geocode::nominatim</a></td>
<td class="#doctools_tocright">Resolving geographical names with a Nominatim service</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/map/map_slippy.html">map::slippy</a></td>
<td class="#doctools_tocright">Common code for slippy based map packages</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/map/map_slippy_cache.html">map::slippy::cache</a></td>
<td class="#doctools_tocright">Management of a tile cache in the local filesystem</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/map/map_slippy_fetcher.html">map::slippy::fetcher</a></td>
<td class="#doctools_tocright">Accessing a server providing tiles for slippy-based maps</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/mapproj/mapproj.html">mapproj</a></td>
<td class="#doctools_tocright">Map projection routines</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/markdown/markdown.html">markdown</a></td>
<td class="#doctools_tocright">Converts Markdown text to HTML</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/math.html">math</a></td>
<td class="#doctools_tocright">Tcl Math Library</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/bigfloat.html">math::bigfloat</a></td>
<td class="#doctools_tocright">Arbitrary precision floating-point numbers</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/bignum.html">math::bignum</a></td>
<td class="#doctools_tocright">Arbitrary precision integer numbers</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/calculus.html">math::calculus</a></td>
<td class="#doctools_tocright">Integration and ordinary differential equations</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/romberg.html">math::calculus::romberg</a></td>
<td class="#doctools_tocright">Romberg integration</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/symdiff.html">math::calculus::symdiff</a></td>
<td class="#doctools_tocright">Symbolic differentiation for Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/combinatorics.html">math::combinatorics</a></td>
<td class="#doctools_tocright">Combinatorial functions in the Tcl Math Library</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/qcomplex.html">math::complexnumbers</a></td>
<td class="#doctools_tocright">Straightforward complex number package</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/constants.html">math::constants</a></td>
<td class="#doctools_tocright">Mathematical and numerical constants</td>
</tr>




<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/decimal.html">math::decimal</a></td>
<td class="#doctools_tocright">General decimal arithmetic</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/exact.html">math::exact</a></td>
<td class="#doctools_tocright">Exact Real Arithmetic</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/fourier.html">math::fourier</a></td>
<td class="#doctools_tocright">Discrete and fast fourier transforms</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/fuzzy.html">math::fuzzy</a></td>
<td class="#doctools_tocright">Fuzzy comparison of floating-point numbers</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/math_geometry.html">math::geometry</a></td>
<td class="#doctools_tocright">Geometrical computations</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/interpolate.html">math::interpolate</a></td>
<td class="#doctools_tocright">Interpolation routines</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/linalg.html">math::linearalgebra</a></td>
<td class="#doctools_tocright">Linear Algebra</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/numtheory.html">math::numtheory</a></td>
<td class="#doctools_tocright">Number Theory</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/optimize.html">math::optimize</a></td>
<td class="#doctools_tocright">Optimisation routines</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/polynomials.html">math::polynomials</a></td>
<td class="#doctools_tocright">Polynomial functions</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/rational_funcs.html">math::rationalfunctions</a></td>
<td class="#doctools_tocright">Polynomial functions</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/roman.html">math::roman</a></td>
<td class="#doctools_tocright">Tools for creating and manipulating roman numerals</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/math/special.html">math::special</a></td>
<td class="#doctools_tocright">Special mathematical functions</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/statistics.html">math::statistics</a></td>
<td class="#doctools_tocright">Basic statistical functions and procedures</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/md4/md4.html">md4</a></td>
<td class="#doctools_tocright">MD4 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/md5/md5.html">md5</a></td>
<td class="#doctools_tocright">MD5 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/md5crypt/md5crypt.html">md5crypt</a></td>
<td class="#doctools_tocright">MD5-based password encryption</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/mime/mime.html">mime</a></td>
<td class="#doctools_tocright">Manipulation of MIME body parts</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/doctools/mpexpand.html">mpexpand</a></td>
<td class="#doctools_tocright">Markup processor</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/multiplexer/multiplexer.html">multiplexer</a></td>
<td class="#doctools_tocright">One-to-many communication with sockets.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_client.html">nameserv</a></td>
<td class="#doctools_tocright">Name service facility, Client</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_auto.html">nameserv::auto</a></td>
<td class="#doctools_tocright">Name service facility, Client Extension</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_common.html">nameserv::common</a></td>
<td class="#doctools_tocright">Name service facility, shared definitions</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_protocol.html">nameserv::protocol</a></td>
<td class="#doctools_tocright">Name service facility, client/server protocol</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_server.html">nameserv::server</a></td>
<td class="#doctools_tocright">Name service facility, Server</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/namespacex/namespacex.html">namespacex</a></td>
<td class="#doctools_tocright">Namespace utility commands</td>
</tr>




<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ncgi/ncgi.html">ncgi</a></td>
<td class="#doctools_tocright">Procedures to manipulate CGI values.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/nettool/nettool.html">nettool</a></td>
<td class="#doctools_tocright">Tools for networked applications</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nmea/nmea.html">nmea</a></td>
<td class="#doctools_tocright">Process NMEA data</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/apps/nns.html">nns</a></td>
<td class="#doctools_tocright">Name service facility, Commandline Client Application</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/nns/nns_intro.html">nns_intro</a></td>
<td class="#doctools_tocright">Name service facility, introduction</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/apps/nnsd.html">nnsd</a></td>
<td class="#doctools_tocright">Name service facility, Commandline Server Application</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/apps/nnslog.html">nnslog</a></td>
<td class="#doctools_tocright">Name service facility, Commandline Logging Client Application</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/nntp/nntp.html">nntp</a></td>
<td class="#doctools_tocright">Tcl client for the NNTP protocol</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ntp/ntp_time.html">ntp_time</a></td>
<td class="#doctools_tocright">Tcl Time Service Client</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/oauth/oauth.html">oauth</a></td>
<td class="#doctools_tocright">oauth API base signature</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tool/meta.html">oo::util</a></td>
<td class="#doctools_tocright">Utility commands for TclOO</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ooutil/ooutil.html">oo::util</a></td>
<td class="#doctools_tocright">Utility commands for TclOO</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/otp/otp.html">otp</a></td>
<td class="#doctools_tocright">One-Time Passwords</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/apps/page.html">page</a></td>
<td class="#doctools_tocright">Parser Generator</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_intro.html">page_intro</a></td>
<td class="#doctools_tocright">page introduction</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_pluginmgr.html">page_pluginmgr</a></td>
<td class="#doctools_tocright">page plugin manager</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_flow.html">page_util_flow</a></td>
<td class="#doctools_tocright">page dataflow/treewalker utility</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_norm_lemon.html">page_util_norm_lemon</a></td>
<td class="#doctools_tocright">page AST normalization, LEMON</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_norm_peg.html">page_util_norm_peg</a></td>
<td class="#doctools_tocright">page AST normalization, PEG</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_peg.html">page_util_peg</a></td>
<td class="#doctools_tocright">page PEG transformation utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/page/page_util_quote.html">page_util_quote</a></td>
<td class="#doctools_tocright">page character quoting utilities</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/irc/picoirc.html">picoirc</a></td>
<td class="#doctools_tocright">Small and simple embeddable IRC client.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pki/pki.html">pki</a></td>
<td class="#doctools_tocright">Implementation of the public key cipher</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pluginmgr/pluginmgr.html">pluginmgr</a></td>
<td class="#doctools_tocright">Manage a plugin</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/png/png.html">png</a></td>
<td class="#doctools_tocright">PNG querying and manipulation of meta data</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pop3/pop3.html">pop3</a></td>
<td class="#doctools_tocright">Tcl client for POP3 email protocol</td>
</tr>




<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pop3d/pop3d.html">pop3d</a></td>
<td class="#doctools_tocright">Tcl POP3 server implementation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pop3d/pop3d_dbox.html">pop3d::dbox</a></td>
<td class="#doctools_tocright">Simple mailbox database for pop3d</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pop3d/pop3d_udb.html">pop3d::udb</a></td>
<td class="#doctools_tocright">Simple user database for pop3d</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/practcl/practcl.html">practcl</a></td>
<td class="#doctools_tocright">The Practcl Module</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/processman/processman.html">processman</a></td>
<td class="#doctools_tocright">Tool for automating the period callback of commands</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/profiler/profiler.html">profiler</a></td>
<td class="#doctools_tocright">Tcl source code profiler</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/apps/pt.html">pt</a></td>
<td class="#doctools_tocright">Parser Tools Application</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_astree.html">pt::ast</a></td>
<td class="#doctools_tocright">Abstract Syntax Tree Serialization</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_cparam_config_critcl.html">pt::cparam::configuration::critcl</a></td>
<td class="#doctools_tocright">C/PARAM, Canned configuration, Critcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_cparam_config_tea.html">pt::cparam::configuration::tea</a></td>
<td class="#doctools_tocright">C/PARAM, Canned configuration, TEA</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_json_language.html">pt::json_language</a></td>
<td class="#doctools_tocright">The JSON Grammar Exchange Format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_param.html">pt::param</a></td>
<td class="#doctools_tocright">PackRat Machine Specification</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_pexpression.html">pt::pe</a></td>
<td class="#doctools_tocright">Parsing Expression Serialization</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_pexpr_op.html">pt::pe::op</a></td>
<td class="#doctools_tocright">Parsing Expression Utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_pegrammar.html">pt::peg</a></td>
<td class="#doctools_tocright">Parsing Expression Grammar Serialization</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_container.html">pt::peg::container</a></td>
<td class="#doctools_tocright">PEG Storage</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_container_peg.html">pt::peg::container::peg</a></td>
<td class="#doctools_tocright">PEG Storage. Canned PEG grammar specification</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_export.html">pt::peg::export</a></td>
<td class="#doctools_tocright">PEG Export</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_export_container.html">pt::peg::export::container</a></td>
<td class="#doctools_tocright">PEG Export Plugin. Write CONTAINER format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_export_json.html">pt::peg::export::json</a></td>
<td class="#doctools_tocright">PEG Export Plugin. Write JSON format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_export_peg.html">pt::peg::export::peg</a></td>
<td class="#doctools_tocright">PEG Export Plugin. Write PEG format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_from_container.html">pt::peg::from::container</a></td>
<td class="#doctools_tocright">PEG Conversion. From CONTAINER format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_from_json.html">pt::peg::from::json</a></td>
<td class="#doctools_tocright">PEG Conversion. Read JSON format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_from_peg.html">pt::peg::from::peg</a></td>
<td class="#doctools_tocright">PEG Conversion. Read PEG format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_import.html">pt::peg::import</a></td>
<td class="#doctools_tocright">PEG Import</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_import_container.html">pt::peg::import::container</a></td>
<td class="#doctools_tocright">PEG Import Plugin. From CONTAINER format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_import_json.html">pt::peg::import::json</a></td>
<td class="#doctools_tocright">PEG Import Plugin. Read JSON format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_import_peg.html">pt::peg::import::peg</a></td>
<td class="#doctools_tocright">PEG Import Plugin. Read PEG format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_interp.html">pt::peg::interp</a></td>
<td class="#doctools_tocright">Interpreter for parsing expression grammars</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_container.html">pt::peg::to::container</a></td>
<td class="#doctools_tocright">PEG Conversion. Write CONTAINER format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_cparam.html">pt::peg::to::cparam</a></td>
<td class="#doctools_tocright">PEG Conversion. Write CPARAM format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_json.html">pt::peg::to::json</a></td>
<td class="#doctools_tocright">PEG Conversion. Write JSON format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_param.html">pt::peg::to::param</a></td>
<td class="#doctools_tocright">PEG Conversion. Write PARAM format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_peg.html">pt::peg::to::peg</a></td>
<td class="#doctools_tocright">PEG Conversion. Write PEG format</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_to_tclparam.html">pt::peg::to::tclparam</a></td>
<td class="#doctools_tocright">PEG Conversion. Write TCLPARAM format</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_language.html">pt::peg_language</a></td>
<td class="#doctools_tocright">PEG Language Tutorial</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_introduction.html">pt::pegrammar</a></td>
<td class="#doctools_tocright">Introduction to Parsing Expression Grammars</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_pgen.html">pt::pgen</a></td>
<td class="#doctools_tocright">Parser Generator</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_rdengine.html">pt::rde</a></td>
<td class="#doctools_tocright">Parsing Runtime Support, PARAM based</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_tclparam_config_snit.html">pt::tclparam::configuration::snit</a></td>
<td class="#doctools_tocright">Tcl/PARAM, Canned configuration, Snit</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_tclparam_config_tcloo.html">pt::tclparam::configuration::tcloo</a></td>
<td class="#doctools_tocright">Tcl/PARAM, Canned configuration, Tcloo</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_util.html">pt::util</a></td>
<td class="#doctools_tocright">General utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_to_api.html">pt_export_api</a></td>
<td class="#doctools_tocright">Parser Tools Export API</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_from_api.html">pt_import_api</a></td>
<td class="#doctools_tocright">Parser Tools Import API</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_introduction.html">pt_introduction</a></td>
<td class="#doctools_tocright">Introduction to Parser Tools</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_parse_peg.html">pt_parse_peg</a></td>
<td class="#doctools_tocright">Parser Tools PEG Parser</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_parser_api.html">pt_parser_api</a></td>
<td class="#doctools_tocright">Parser API</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/pt/pt_peg_op.html">pt_peg_op</a></td>
<td class="#doctools_tocright">Parser Tools PE Grammar Utility Operations</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/rc4/rc4.html">rc4</a></td>
<td class="#doctools_tocright">Implementation of the RC4 stream cipher</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/rcs/rcs.html">rcs</a></td>
<td class="#doctools_tocright">RCS low level utilities</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/report/report.html">report</a></td>
<td class="#doctools_tocright">Create and manipulate report objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/rest/rest.html">rest</a></td>
<td class="#doctools_tocright">define REST web APIs and call them inline or asychronously</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/ripemd/ripemd128.html">ripemd128</a></td>
<td class="#doctools_tocright">RIPEMD-128 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/ripemd/ripemd160.html">ripemd160</a></td>
<td class="#doctools_tocright">RIPEMD-160 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/amazon-s3/S3.html">S3</a></td>
<td class="#doctools_tocright">Amazon S3 Web Service Interface</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/sasl/sasl.html">SASL</a></td>
<td class="#doctools_tocright">Implementation of SASL mechanisms for Tcl</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/sasl/ntlm.html">SASL::NTLM</a></td>
<td class="#doctools_tocright">Implementation of SASL NTLM mechanism for Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/sasl/scram.html">SASL::SCRAM</a></td>
<td class="#doctools_tocright">Implementation of SASL SCRAM mechanism for Tcl</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/sasl/gtoken.html">SASL::XGoogleToken</a></td>
<td class="#doctools_tocright">Implementation of SASL NTLM mechanism for Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/sha1/sha1.html">sha1</a></td>
<td class="#doctools_tocright">SHA1 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/sha1/sha256.html">sha256</a></td>
<td class="#doctools_tocright">SHA256 Message-Digest Algorithm</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/simulation/annealing.html">simulation::annealing</a></td>
<td class="#doctools_tocright">Simulated annealing</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/simulation/montecarlo.html">simulation::montecarlo</a></td>
<td class="#doctools_tocright">Monte Carlo simulations</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/simulation/simulation_random.html">simulation::random</a></td>
<td class="#doctools_tocright">Pseudo-random number generators</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/mime/smtp.html">smtp</a></td>
<td class="#doctools_tocright">Client-side tcl implementation of the smtp protocol</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/smtpd/smtpd.html">smtpd</a></td>
<td class="#doctools_tocright">Tcl SMTP server implementation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/snit/snit.html">snit</a></td>
<td class="#doctools_tocright">Snit's Not Incr Tcl</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/snit/snitfaq.html">snitfaq</a></td>
<td class="#doctools_tocright">Snit Frequently Asked Questions</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/soundex/soundex.html">soundex</a></td>
<td class="#doctools_tocright">Soundex</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/stooop/stooop.html">stooop</a></td>
<td class="#doctools_tocright">Object oriented extension.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/string/token.html">string::token</a></td>
<td class="#doctools_tocright">Regex based iterative lexing</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/string/token_shell.html">string::token::shell</a></td>
<td class="#doctools_tocright">Parsing of shell command line</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/stringprep/stringprep.html">stringprep</a></td>
<td class="#doctools_tocright">Implementation of stringprep</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/stringprep/stringprep_data.html">stringprep::data</a></td>
<td class="#doctools_tocright">stringprep data tables, generated, internal</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/disjointset.html">struct::disjointset</a></td>
<td class="#doctools_tocright">Disjoint set data structure</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/graph.html">struct::graph</a></td>
<td class="#doctools_tocright">Create and manipulate directed graph objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/graphops.html">struct::graph::op</a></td>
<td class="#doctools_tocright">Operation for (un)directed graph objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/graph1.html">struct::graph_v1</a></td>
<td class="#doctools_tocright">Create and manipulate directed graph objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/struct_list.html">struct::list</a></td>
<td class="#doctools_tocright">Procedures for manipulating lists</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/matrix.html">struct::matrix</a></td>
<td class="#doctools_tocright">Create and manipulate matrix objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/matrix1.html">struct::matrix_v1</a></td>
<td class="#doctools_tocright">Create and manipulate matrix objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/pool.html">struct::pool</a></td>
<td class="#doctools_tocright">Create and manipulate pool objects (of discrete items)</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/prioqueue.html">struct::prioqueue</a></td>
<td class="#doctools_tocright">Create and manipulate prioqueue objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/queue.html">struct::queue</a></td>
<td class="#doctools_tocright">Create and manipulate queue objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/record.html">struct::record</a></td>
<td class="#doctools_tocright">Define and create records (similar to 'C' structures)</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/struct_set.html">struct::set</a></td>
<td class="#doctools_tocright">Procedures for manipulating sets</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/skiplist.html">struct::skiplist</a></td>
<td class="#doctools_tocright">Create and manipulate skiplists</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/stack.html">struct::stack</a></td>
<td class="#doctools_tocright">Create and manipulate stack objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/struct/struct_tree.html">struct::tree</a></td>
<td class="#doctools_tocright">Create and manipulate tree objects</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/struct/struct_tree1.html">struct::tree_v1</a></td>
<td class="#doctools_tocright">Create and manipulate tree objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/crc/sum.html">sum</a></td>
<td class="#doctools_tocright">Calculate a sum(1) compatible checksum</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/stooop/switched.html">switched</a></td>
<td class="#doctools_tocright">switch/option management.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tar/tar.html">tar</a></td>
<td class="#doctools_tocright">Tar file creation, extraction &amp; manipulation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/cat.html">tcl::chan::cat</a></td>
<td class="#doctools_tocright">Concatenation channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_core/core.html">tcl::chan::core</a></td>
<td class="#doctools_tocright">Basic reflected/virtual channel support</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_core/events.html">tcl::chan::events</a></td>
<td class="#doctools_tocright">Event support for reflected/virtual channels</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/facade.html">tcl::chan::facade</a></td>
<td class="#doctools_tocright">Facade channel</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_fifo.html">tcl::chan::fifo</a></td>
<td class="#doctools_tocright">In-memory fifo channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_fifo2.html">tcl::chan::fifo2</a></td>
<td class="#doctools_tocright">In-memory interconnected fifo channels</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/halfpipe.html">tcl::chan::halfpipe</a></td>
<td class="#doctools_tocright">In-memory channel, half of a fifo2</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_memchan.html">tcl::chan::memchan</a></td>
<td class="#doctools_tocright">In-memory channel</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_null.html">tcl::chan::null</a></td>
<td class="#doctools_tocright">Null channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/nullzero.html">tcl::chan::nullzero</a></td>
<td class="#doctools_tocright">Null/Zero channel combination</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_random.html">tcl::chan::random</a></td>
<td class="#doctools_tocright">Random channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/std.html">tcl::chan::std</a></td>
<td class="#doctools_tocright">Standard I/O, unification of stdin and stdout</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_string.html">tcl::chan::string</a></td>
<td class="#doctools_tocright">Read-only in-memory channel</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/textwindow.html">tcl::chan::textwindow</a></td>
<td class="#doctools_tocright">Textwindow channel</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_variable.html">tcl::chan::variable</a></td>
<td class="#doctools_tocright">In-memory channel using variable for storage</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/tcllib_zero.html">tcl::chan::zero</a></td>
<td class="#doctools_tocright">Zero channel</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_base/randseed.html">tcl::randomseed</a></td>
<td class="#doctools_tocright">Utilities for random channels</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/adler32.html">tcl::transform::adler32</a></td>
<td class="#doctools_tocright">Adler32 transformation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/vt_base64.html">tcl::transform::base64</a></td>
<td class="#doctools_tocright">Base64 encoding transformation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_core/transformcore.html">tcl::transform::core</a></td>
<td class="#doctools_tocright">Basic reflected/virtual channel transform support</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/vt_counter.html">tcl::transform::counter</a></td>
<td class="#doctools_tocright">Counter transformation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/vt_crc32.html">tcl::transform::crc32</a></td>
<td class="#doctools_tocright">Crc32 transformation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/hex.html">tcl::transform::hex</a></td>
<td class="#doctools_tocright">Hexadecimal encoding transformation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/identity.html">tcl::transform::identity</a></td>
<td class="#doctools_tocright">Identity transformation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/limitsize.html">tcl::transform::limitsize</a></td>
<td class="#doctools_tocright">limiting input</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/observe.html">tcl::transform::observe</a></td>
<td class="#doctools_tocright">Observer transformation, stream copy</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/vt_otp.html">tcl::transform::otp</a></td>
<td class="#doctools_tocright">Encryption via one-time pad</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/rot.html">tcl::transform::rot</a></td>
<td class="#doctools_tocright">rot-encryption</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/spacer.html">tcl::transform::spacer</a></td>
<td class="#doctools_tocright">Space insertation and removal</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/virtchannel_transform/tcllib_zlib.html">tcl::transform::zlib</a></td>
<td class="#doctools_tocright">zlib (de)compression</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/des/tcldes.html">tclDES</a></td>
<td class="#doctools_tocright">Implementation of the DES and triple-DES ciphers</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/des/tcldesjr.html">tclDESjr</a></td>
<td class="#doctools_tocright">Implementation of the DES and triple-DES ciphers</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/apps/tcldocstrip.html">tcldocstrip</a></td>
<td class="#doctools_tocright">Tcl-based Docstrip Processor</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/dns/tcllib_ip.html">tcllib_ip</a></td>
<td class="#doctools_tocright">IPv4 and IPv6 address manipulation</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/math/machineparameters.html">tclrep/machineparameters</a></td>
<td class="#doctools_tocright">Compute double precision machine parameters.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tepam/tepam_introduction.html">tepam</a></td>
<td class="#doctools_tocright">An introduction into TEPAM, Tcl's Enhanced Procedure and Argument Manager</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tepam/tepam_argument_dialogbox.html">tepam::argument_dialogbox</a></td>
<td class="#doctools_tocright">TEPAM argument_dialogbox, reference manual</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tepam/tepam_doc_gen.html">tepam::doc_gen</a></td>
<td class="#doctools_tocright">TEPAM DOC Generation, reference manual</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tepam/tepam_procedure.html">tepam::procedure</a></td>
<td class="#doctools_tocright">TEPAM procedure, reference manual</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/term.html">term</a></td>
<td class="#doctools_tocright">General terminal control</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_code.html">term::ansi::code</a></td>
<td class="#doctools_tocright">Helper for control sequences</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_cattr.html">term::ansi::code::attr</a></td>
<td class="#doctools_tocright">ANSI attribute sequences</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_cctrl.html">term::ansi::code::ctrl</a></td>
<td class="#doctools_tocright">ANSI control sequences</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_cmacros.html">term::ansi::code::macros</a></td>
<td class="#doctools_tocright">Macro sequences</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_ctrlu.html">term::ansi::ctrl::unix</a></td>
<td class="#doctools_tocright">Control operations and queries</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/ansi_send.html">term::ansi::send</a></td>
<td class="#doctools_tocright">Output of ANSI control sequences to terminals</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/imenu.html">term::interact::menu</a></td>
<td class="#doctools_tocright">Terminal widget, menu</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/ipager.html">term::interact::pager</a></td>
<td class="#doctools_tocright">Terminal widget, paging</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/receive.html">term::receive</a></td>
<td class="#doctools_tocright">General input from terminals</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/term/term_bind.html">term::receive::bind</a></td>
<td class="#doctools_tocright">Keyboard dispatch from terminals</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/term/term_send.html">term::send</a></td>
<td class="#doctools_tocright">General output to terminals</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/textutil.html">textutil</a></td>
<td class="#doctools_tocright">Procedures to manipulate texts and strings.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/adjust.html">textutil::adjust</a></td>
<td class="#doctools_tocright">Procedures to adjust, indent, and undent paragraphs</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/expander.html">textutil::expander</a></td>
<td class="#doctools_tocright">Procedures to process templates and expand text.</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/repeat.html">textutil::repeat</a></td>
<td class="#doctools_tocright">Procedures to repeat strings.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/textutil_split.html">textutil::split</a></td>
<td class="#doctools_tocright">Procedures to split texts</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/textutil_string.html">textutil::string</a></td>
<td class="#doctools_tocright">Procedures to manipulate texts and strings.</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/tabify.html">textutil::tabify</a></td>
<td class="#doctools_tocright">Procedures to (un)tabify strings</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/textutil/trim.html">textutil::trim</a></td>
<td class="#doctools_tocright">Procedures to trim strings</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/try/tcllib_throw.html">throw</a></td>
<td class="#doctools_tocright">throw - Throw an error exception with a message</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tie/tie_std.html">tie</a></td>
<td class="#doctools_tocright">Array persistence, standard data sources</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tie/tie.html">tie</a></td>
<td class="#doctools_tocright">Array persistence</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tiff/tiff.html">tiff</a></td>
<td class="#doctools_tocright">TIFF reading, writing, and querying and manipulation of meta data</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/tool/tool.html">tool</a></td>
<td class="#doctools_tocright">Dictionary Tools</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/tool/tool_dict_ensemble.html">tool::dict_ensemble</a></td>
<td class="#doctools_tocright">Dictionary Tools</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/connect.html">transfer::connect</a></td>
<td class="#doctools_tocright">Connection setup</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/copyops.html">transfer::copy</a></td>
<td class="#doctools_tocright">Data transfer foundation</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/tqueue.html">transfer::copy::queue</a></td>
<td class="#doctools_tocright">Queued transfers</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/ddest.html">transfer::data::destination</a></td>
<td class="#doctools_tocright">Data destination</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/dsource.html">transfer::data::source</a></td>
<td class="#doctools_tocright">Data source</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/receiver.html">transfer::receiver</a></td>
<td class="#doctools_tocright">Data source</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/transfer/transmitter.html">transfer::transmitter</a></td>
<td class="#doctools_tocright">Data source</td>
</tr>
<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/treeql/treeql.html">treeql</a></td>
<td class="#doctools_tocright">Query tree objects</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/try/tcllib_try.html">try</a></td>
<td class="#doctools_tocright">try - Trap and process errors and exceptions</td>
</tr>




<tr class="#doctools_toceven" >
<td class="#doctools_tocleft" ><a href="files/modules/uev/uevent.html">uevent</a></td>
<td class="#doctools_tocright">User events</td>
</tr>
<tr class="#doctools_tocodd"  >
<td class="#doctools_tocleft" ><a href="files/modules/uev/uevent_onidle.html">uevent::onidle</a></td>
<td class="#doctools_tocright">Request merging and deferal to idle time</td>