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<td width="25%" class="title2">unpublished </td>
<td width="50%" class="title">interface XMapping2D</td>
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<td><dl>
<dt><b>Usage Restrictions</b></dt>
<dd><i>not published</i></dd>
<dt><b>Description</b></dt>
<dd>Interface defining an arbitrary bijective mapping from R^2 to R^2.</dd>
<dd><p>

 This interface provides methods to define an arbitrary bijective
 mapping from R^2 to R^2, i.e. from the two-dimensional space of
 real numbers onto itself, as is representable by the
 ::double floating point type. The mapping must be
 bijective, i.e. map a pair of real numbers to exactly one other
 pair of real numbers an vice versa, to facilitate a working
 inverse. Bijectiveness also implies completeness, i.e. for every
 pair of real numbers there must be another pair that is mapped
 upon them.<p>

 </dd>
<dt><b>Since </b></dt>
<dd>OOo 2.0 </dd>
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<td class="imsum_left"><a href="#map">map</a></td>
<td class="imsum_right">Forward 2D mapping function
 &nbsp;</td>
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<td class="imsum_left"><a href="#mapInverse">mapInverse</a></td>
<td class="imsum_right">Inverse 2D mapping function.&nbsp;</td>
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<td class="imdetail"><a name="map" class="membertitle">map</a><table border="0" width="96%" cellpadding="5" cellspacing="0" class="table-in-method" bgcolor="#ffffff" align="center">
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<td valign="top" colspan="3"><a href="RealPoint2D.html">RealPoint2D</a></td>
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<td valign="top"><b>map</b>(</td>
<td valign="top">[in] <a href="RealPoint2D.html">RealPoint2D</a></td>
<td valign="bottom">&nbsp;aPoint );</td>
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<dl>
<dt><b>Description</b></dt>
<dd>Forward 2D mapping function
 </dd>
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<td class="imdetail"><a name="mapInverse" class="membertitle">mapInverse</a><table border="0" width="96%" cellpadding="5" cellspacing="0" class="table-in-method" bgcolor="#ffffff" align="center">
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<td valign="top" colspan="3"><a href="RealPoint2D.html">RealPoint2D</a></td>
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<td valign="top"><b>mapInverse</b>(</td>
<td valign="top">[in] <a href="RealPoint2D.html">RealPoint2D</a></td>
<td valign="bottom">&nbsp;aPoint );</td>
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<dl>
<dt><b>Description</b></dt>
<dd>Inverse 2D mapping function.</dd>
<dd><p>

 The following invariant must hold:
 <code>map(mapInverse(p))=p</code>. This effectively rules out
 non-bijective mappings.<p>
 </dd>
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