830 lines
28 KiB
HTML
Executable file
830 lines
28 KiB
HTML
Executable file
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
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<a href="Scientific-module.html">Package Scientific</a> ::
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<a href="Scientific.Functions-module.html">Package Functions</a> ::
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<a href="Scientific.Functions.Derivatives-module.html">Module Derivatives</a> ::
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Class DerivVar
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<!-- ==================== CLASS DESCRIPTION ==================== -->
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<h1 class="epydoc">Class DerivVar</h1><p class="nomargin-top"></p>
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<p>Numerical variable with automatic derivatives of arbitrary order</p>
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<!-- ==================== INSTANCE METHODS ==================== -->
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<a name="section-InstanceMethods"></a>
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<table class="summary" border="1" cellpadding="3"
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cellspacing="0" width="100%" bgcolor="white">
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<tr bgcolor="#70b0f0" class="table-header">
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<span class="table-header">Instance Methods</span></td>
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
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<td><span class="summary-sig"><a name="__abs__"></a><span class="summary-sig-name">__abs__</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="__add__"></a><span class="summary-sig-name">__add__</span>(<span class="summary-sig-arg">self</span>,
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<td><span class="summary-sig"><a name="__cmp__"></a><span class="summary-sig-name">__cmp__</span>(<span class="summary-sig-arg">self</span>,
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<td><span class="summary-sig"><a name="__coerce__"></a><span class="summary-sig-name">__coerce__</span>(<span class="summary-sig-arg">self</span>,
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<td><span class="summary-sig"><a name="__div__"></a><span class="summary-sig-name">__div__</span>(<span class="summary-sig-arg">self</span>,
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<span class="summary-type"><code>list</code></span>
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<td><span class="summary-sig"><a href="Scientific.Functions.Derivatives.DerivVar-class.html#__getitem__" class="summary-sig-name">__getitem__</a>(<span class="summary-sig-arg">self</span>,
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<span class="summary-sig-arg">order</span>)</span><br />
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Returns:
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a list of all derivatives of the given order</td>
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<td><span class="summary-sig"><a href="Scientific.Functions.Derivatives.DerivVar-class.html#__init__" class="summary-sig-name">__init__</a>(<span class="summary-sig-arg">self</span>,
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<span class="summary-sig-arg">value</span>,
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<span class="summary-sig-arg">index</span>=<span class="summary-sig-default">0</span>,
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<span class="summary-sig-arg">order</span>=<span class="summary-sig-default">1</span>,
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<span class="summary-sig-arg">recursive</span>=<span class="summary-sig-default">None</span>)</span></td>
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<td><span class="summary-sig"><a name="__mul__"></a><span class="summary-sig-name">__mul__</span>(<span class="summary-sig-arg">self</span>,
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<td><span class="summary-sig"><a name="__neg__"></a><span class="summary-sig-name">__neg__</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="__nonzero__"></a><span class="summary-sig-name">__nonzero__</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="__pos__"></a><span class="summary-sig-name">__pos__</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="__pow__"></a><span class="summary-sig-name">__pow__</span>(<span class="summary-sig-arg">self</span>,
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<span class="summary-sig-arg">other</span>,
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<span class="summary-sig-arg">z</span>=<span class="summary-sig-default">None</span>)</span></td>
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<td><span class="summary-sig"><a name="__radd__"></a><span class="summary-sig-name">__radd__</span>(<span class="summary-sig-arg">self</span>,
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<td><span class="summary-sig"><a name="__rdiv__"></a><span class="summary-sig-name">__rdiv__</span>(<span class="summary-sig-arg">self</span>,
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<td><span class="summary-sig"><a name="__repr__"></a><span class="summary-sig-name">__repr__</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="__rsub__"></a><span class="summary-sig-name">__rsub__</span>(<span class="summary-sig-arg">self</span>,
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<td><span class="summary-sig"><a name="__str__"></a><span class="summary-sig-name">__str__</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="__sub__"></a><span class="summary-sig-name">__sub__</span>(<span class="summary-sig-arg">self</span>,
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<span class="summary-sig-arg">other</span>)</span></td>
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<td><span class="summary-sig"><a name="arccos"></a><span class="summary-sig-name">arccos</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="arcsin"></a><span class="summary-sig-name">arcsin</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="arctan"></a><span class="summary-sig-name">arctan</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<span class="summary-type"> </span>
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</td><td class="summary">
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<tr>
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<td><span class="summary-sig"><a name="cos"></a><span class="summary-sig-name">cos</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="cosh"></a><span class="summary-sig-name">cosh</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="exp"></a><span class="summary-sig-name">exp</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="log"></a><span class="summary-sig-name">log</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<tr>
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<td><span class="summary-sig"><a name="log10"></a><span class="summary-sig-name">log10</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td><span class="summary-sig"><a name="sign"></a><span class="summary-sig-name">sign</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<span class="summary-type"> </span>
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</td><td class="summary">
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<td><span class="summary-sig"><a name="sin"></a><span class="summary-sig-name">sin</span>(<span class="summary-sig-arg">self</span>)</span></td>
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<td align="right" valign="top">
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<span class="summary-type"> </span>
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</td><td class="summary">
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
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<tr>
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<td><span class="summary-sig"><a name="sinh"></a><span class="summary-sig-name">sinh</span>(<span class="summary-sig-arg">self</span>)</span></td>
|
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<td align="right" valign="top">
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<span class="summary-type"> </span>
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</td><td class="summary">
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<tr>
|
|
<td><span class="summary-sig"><a name="sqrt"></a><span class="summary-sig-name">sqrt</span>(<span class="summary-sig-arg">self</span>)</span></td>
|
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<td align="right" valign="top">
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</td>
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<td width="15%" align="right" valign="top" class="summary">
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<span class="summary-type"> </span>
|
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</td><td class="summary">
|
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
|
|
<tr>
|
|
<td><span class="summary-sig"><a name="tan"></a><span class="summary-sig-name">tan</span>(<span class="summary-sig-arg">self</span>)</span></td>
|
|
<td align="right" valign="top">
|
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</td>
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|
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</tr>
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<tr>
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<td width="15%" align="right" valign="top" class="summary">
|
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<span class="summary-type"> </span>
|
|
</td><td class="summary">
|
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
|
|
<tr>
|
|
<td><span class="summary-sig"><a name="tanh"></a><span class="summary-sig-name">tanh</span>(<span class="summary-sig-arg">self</span>)</span></td>
|
|
<td align="right" valign="top">
|
|
|
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</td>
|
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<tr>
|
|
<td width="15%" align="right" valign="top" class="summary">
|
|
<span class="summary-type"><a href="Scientific.Functions.Derivatives.DerivVar-class.html"
|
|
class="link">DerivVar</a></span>
|
|
</td><td class="summary">
|
|
<table width="100%" cellpadding="0" cellspacing="0" border="0">
|
|
<tr>
|
|
<td><span class="summary-sig"><a href="Scientific.Functions.Derivatives.DerivVar-class.html#toOrder" class="summary-sig-name">toOrder</a>(<span class="summary-sig-arg">self</span>,
|
|
<span class="summary-sig-arg">order</span>)</span><br />
|
|
Returns:
|
|
a DerivVar object with a lower derivative order</td>
|
|
<td align="right" valign="top">
|
|
|
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</td>
|
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|
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</table>
|
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</td>
|
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</tr>
|
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</table>
|
|
<!-- ==================== METHOD DETAILS ==================== -->
|
|
<a name="section-MethodDetails"></a>
|
|
<table class="details" border="1" cellpadding="3"
|
|
cellspacing="0" width="100%" bgcolor="white">
|
|
<tr bgcolor="#70b0f0" class="table-header">
|
|
<td align="left" colspan="2" class="table-header">
|
|
<span class="table-header">Method Details</span></td>
|
|
</tr>
|
|
</table>
|
|
<a name="__getitem__"></a>
|
|
<div>
|
|
<table class="details" border="1" cellpadding="3"
|
|
cellspacing="0" width="100%" bgcolor="white">
|
|
<tr><td>
|
|
<table width="100%" cellpadding="0" cellspacing="0" border="0">
|
|
<tr valign="top"><td>
|
|
<h3 class="epydoc"><span class="sig"><span class="sig-name">__getitem__</span>(<span class="sig-arg">self</span>,
|
|
<span class="sig-arg">order</span>)</span>
|
|
<br /><em class="fname">(Indexing operator)</em>
|
|
</h3>
|
|
</td><td align="right" valign="top"
|
|
>
|
|
</td>
|
|
</tr></table>
|
|
|
|
|
|
<dl class="fields">
|
|
<dt>Parameters:</dt>
|
|
<dd><ul class="nomargin-top">
|
|
<li><strong class="pname"><code>order</code></strong> (<code>int</code>) - derivative order</li>
|
|
</ul></dd>
|
|
<dt>Returns: <code>list</code></dt>
|
|
<dd>a list of all derivatives of the given order</dd>
|
|
<dt>Raises:</dt>
|
|
<dd><ul class="nomargin-top">
|
|
<li><code><strong class='fraise'>ValueError</strong></code> - if order < 0 or order > self.order</li>
|
|
</ul></dd>
|
|
</dl>
|
|
</td></tr></table>
|
|
</div>
|
|
<a name="__init__"></a>
|
|
<div>
|
|
<table class="details" border="1" cellpadding="3"
|
|
cellspacing="0" width="100%" bgcolor="white">
|
|
<tr><td>
|
|
<table width="100%" cellpadding="0" cellspacing="0" border="0">
|
|
<tr valign="top"><td>
|
|
<h3 class="epydoc"><span class="sig"><span class="sig-name">__init__</span>(<span class="sig-arg">self</span>,
|
|
<span class="sig-arg">value</span>,
|
|
<span class="sig-arg">index</span>=<span class="sig-default">0</span>,
|
|
<span class="sig-arg">order</span>=<span class="sig-default">1</span>,
|
|
<span class="sig-arg">recursive</span>=<span class="sig-default">None</span>)</span>
|
|
<br /><em class="fname">(Constructor)</em>
|
|
</h3>
|
|
</td><td align="right" valign="top"
|
|
>
|
|
</td>
|
|
</tr></table>
|
|
|
|
|
|
<dl class="fields">
|
|
<dt>Parameters:</dt>
|
|
<dd><ul class="nomargin-top">
|
|
<li><strong class="pname"><code>value</code></strong> (number) - the numerical value of the variable</li>
|
|
<li><strong class="pname"><code>index</code></strong> (<code>int</code>) - the variable index, which serves to distinguish between variables
|
|
and as an index for the derivative lists. Each explicitly created
|
|
instance of DerivVar must have a unique index.</li>
|
|
<li><strong class="pname"><code>order</code></strong> (<code>int</code>) - the derivative order</li>
|
|
</ul></dd>
|
|
<dt>Raises:</dt>
|
|
<dd><ul class="nomargin-top">
|
|
<li><code><strong class='fraise'>ValueError</strong></code> - if order < 0</li>
|
|
</ul></dd>
|
|
</dl>
|
|
</td></tr></table>
|
|
</div>
|
|
<a name="toOrder"></a>
|
|
<div>
|
|
<table class="details" border="1" cellpadding="3"
|
|
cellspacing="0" width="100%" bgcolor="white">
|
|
<tr><td>
|
|
<table width="100%" cellpadding="0" cellspacing="0" border="0">
|
|
<tr valign="top"><td>
|
|
<h3 class="epydoc"><span class="sig"><span class="sig-name">toOrder</span>(<span class="sig-arg">self</span>,
|
|
<span class="sig-arg">order</span>)</span>
|
|
</h3>
|
|
</td><td align="right" valign="top"
|
|
>
|
|
</td>
|
|
</tr></table>
|
|
|
|
|
|
<dl class="fields">
|
|
<dt>Parameters:</dt>
|
|
<dd><ul class="nomargin-top">
|
|
<li><strong class="pname"><code>order</code></strong> (<code>int</code>) - the highest derivative order to be kept</li>
|
|
</ul></dd>
|
|
<dt>Returns: <a href="Scientific.Functions.Derivatives.DerivVar-class.html"
|
|
class="link">DerivVar</a></dt>
|
|
<dd>a DerivVar object with a lower derivative order</dd>
|
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</dl>
|
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</td></tr></table>
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</div>
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<br />
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