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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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<div class="navpath"><a class="el" href="namespaceWt.html">Wt</a>::<a class="el" href="classWt_1_1WTransform.html">WTransform</a>
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<h1>Wt::WTransform Class Reference<br>
<small>
[<a class="el" href="group__painting.html">Painting system</a>]</small>
</h1><!-- doxytag: class="Wt::WTransform" -->A 2D affine transformation matrix.
<a href="#_details">More...</a>
<p>
<code>#include <Wt/WTransform></code>
<p>
<p>
<a href="classWt_1_1WTransform-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#a83f5dc582b77c4ac706cfb6b097a6e3">WTransform</a> ()</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Default constructor. <a href="#a83f5dc582b77c4ac706cfb6b097a6e3"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#7af529e947eefac16dbce9d4ecdf374b">WTransform</a> (double m11, double m12, double m21, double m22, double dx, double dy)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Construct a custom matrix by specifying the parameters. <a href="#7af529e947eefac16dbce9d4ecdf374b"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#5b316f9ab4b128fac20ddc193e9a531f">operator=</a> (const <a class="el" href="classWt_1_1WTransform.html">WTransform</a> &rhs)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Assignment operator. <a href="#5b316f9ab4b128fac20ddc193e9a531f"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#8d67ff2dd96e1b7a046a81dba72b8358">operator==</a> (const <a class="el" href="classWt_1_1WTransform.html">WTransform</a> &rhs) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Comparison operator. <a href="#8d67ff2dd96e1b7a046a81dba72b8358"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#b8279e66b2fced0710869593f1b7f89d">operator!=</a> (const <a class="el" href="classWt_1_1WTransform.html">WTransform</a> &rhs) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Comparison operator. <a href="#b8279e66b2fced0710869593f1b7f89d"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#2886f3ac1a3e60f90aae2505db3a6631">isIdentity</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Identity check. <a href="#2886f3ac1a3e60f90aae2505db3a6631"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1887ee83c3b274284c323ef836529ab5"></a><!-- doxytag: member="Wt::WTransform::m11" ref="1887ee83c3b274284c323ef836529ab5" args="() const " -->
double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#1887ee83c3b274284c323ef836529ab5">m11</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the horizontal scaling factor. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a5818883ee9a0d4f2ccede54fe4aae75"></a><!-- doxytag: member="Wt::WTransform::m12" ref="a5818883ee9a0d4f2ccede54fe4aae75" args="() const " -->
double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#a5818883ee9a0d4f2ccede54fe4aae75">m12</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the vertical shearing factor. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="54c72247dc6c537b2af6c051acdf6364"></a><!-- doxytag: member="Wt::WTransform::m13" ref="54c72247dc6c537b2af6c051acdf6364" args="() const " -->
double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#54c72247dc6c537b2af6c051acdf6364">m13</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns m13 = 0. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="50b1309a9ba5a28fda585ff2645955e5"></a><!-- doxytag: member="Wt::WTransform::m21" ref="50b1309a9ba5a28fda585ff2645955e5" args="() const " -->
double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#50b1309a9ba5a28fda585ff2645955e5">m21</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the horizontal shearing factor. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ce965ba306019e1eb77e2e19004fe26b"></a><!-- doxytag: member="Wt::WTransform::m22" ref="ce965ba306019e1eb77e2e19004fe26b" args="() const " -->
double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#ce965ba306019e1eb77e2e19004fe26b">m22</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the vertical scaling factor. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c4e9f7cbdf20f929e566cb1f94f3073a"></a><!-- doxytag: member="Wt::WTransform::m23" ref="c4e9f7cbdf20f929e566cb1f94f3073a" args="() const " -->
double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#c4e9f7cbdf20f929e566cb1f94f3073a">m23</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns m23 = 0. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#8b0d30f356852c84482864009c959f83">m31</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the horizontal translation factor. <a href="#8b0d30f356852c84482864009c959f83"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#4c3829751f5f1e48b9cc9cd43c22edb8">m32</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the vertical translation factor. <a href="#4c3829751f5f1e48b9cc9cd43c22edb8"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dc52fe2393cb3183c5e76ada10fa1013"></a><!-- doxytag: member="Wt::WTransform::m33" ref="dc52fe2393cb3183c5e76ada10fa1013" args="() const " -->
double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#dc52fe2393cb3183c5e76ada10fa1013">m33</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns m33 = 1. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#fd36c0961fe1cc7ff476824f3dfc9cea">dx</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the horizontal translation factor. <a href="#fd36c0961fe1cc7ff476824f3dfc9cea"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#6828e36286b2fe38ec56446b007b1d41">dy</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the vertical translation factor. <a href="#6828e36286b2fe38ec56446b007b1d41"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classWt_1_1WPointF.html">WPointF</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#201cba0a65a466383c48eb6d73b2f281">map</a> (const <a class="el" href="classWt_1_1WPointF.html">WPointF</a> &p) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Applys the transformation to a point. <a href="#201cba0a65a466383c48eb6d73b2f281"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#ffc1cb0071a86302318255fd867d08a1">map</a> (double x, double y, double *tx, double *ty) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Applys the transformation to a point. <a href="#ffc1cb0071a86302318255fd867d08a1"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#36e8423634a12878a6a7262bd749fe6b">reset</a> ()</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Resets the transformation to the identity. <a href="#36e8423634a12878a6a7262bd749fe6b"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#4f494c6f886c1b8b15c635e2dc81cc0e">rotate</a> (double angle)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Rotates the transformation. <a href="#4f494c6f886c1b8b15c635e2dc81cc0e"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#72f394181e722cd890c06bb37e36e7db">rotateRadians</a> (double angle)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Rotates the transformation. <a href="#72f394181e722cd890c06bb37e36e7db"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#c9cf750c7ce44b4ecfcae59d4dd964ac">scale</a> (double sx, double sy)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Scales the transformation. <a href="#c9cf750c7ce44b4ecfcae59d4dd964ac"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#94e146a18a35ec1a9f70cf09c2df8349">shear</a> (double sh, double sv)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Shears the transformation. <a href="#94e146a18a35ec1a9f70cf09c2df8349"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#d4cd675b5072c25b0545167ba41586d8">translate</a> (double dx, double dy)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Translates the transformation. <a href="#d4cd675b5072c25b0545167ba41586d8"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1f5205bf60740327910dc93b057b2a08"></a><!-- doxytag: member="Wt::WTransform::determinant" ref="1f5205bf60740327910dc93b057b2a08" args="() const " -->
double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#1f5205bf60740327910dc93b057b2a08">determinant</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the determinant. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8fabda162bf70c144f58524708ade180"></a><!-- doxytag: member="Wt::WTransform::adjoint" ref="8fabda162bf70c144f58524708ade180" args="() const " -->
<a class="el" href="classWt_1_1WTransform.html">WTransform</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#8fabda162bf70c144f58524708ade180">adjoint</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the adjoint. <br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#9747188f5900f5785ac15ffa3838533b">inverted</a> () const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the inverted transformation. <a href="#9747188f5900f5785ac15ffa3838533b"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#1ff5716f31b5c2f2031e93bfcdc834cb">decomposeTranslateRotateScaleSkew</a> (<a class="el" href="structWt_1_1WTransform_1_1TRSSDecomposition.html">TRSSDecomposition</a> &result) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Decomposes the transformation. <a href="#1ff5716f31b5c2f2031e93bfcdc834cb"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#f5d4d93e4efed30f10aef73e44fff719">decomposeTranslateRotateScaleRotate</a> (<a class="el" href="structWt_1_1WTransform_1_1TRSRDecomposition.html">TRSRDecomposition</a> &result) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Decomposes the transformation. <a href="#f5d4d93e4efed30f10aef73e44fff719"></a><br></td></tr>
<tr><td colspan="2"><br><h2>Static Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="425668a0cfd60a40f344f47d1a4cec92"></a><!-- doxytag: member="Wt::WTransform::degreesToRadians" ref="425668a0cfd60a40f344f47d1a4cec92" args="(double angle)" -->
static double </td><td class="memItemRight" valign="bottom"><a class="el" href="classWt_1_1WTransform.html#425668a0cfd60a40f344f47d1a4cec92">degreesToRadians</a> (double angle)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Utility method to convert degrees to radians. <br></td></tr>
<tr><td colspan="2"><br><h2>Classes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">struct </td><td class="memItemRight" valign="bottom"><a class="el" href="structWt_1_1WTransform_1_1TRSRDecomposition.html">TRSRDecomposition</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Result of a TRSR decomposition. <a href="structWt_1_1WTransform_1_1TRSRDecomposition.html#_details">More...</a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">struct </td><td class="memItemRight" valign="bottom"><a class="el" href="structWt_1_1WTransform_1_1TRSSDecomposition.html">TRSSDecomposition</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Result of a TRSS decomposition. <a href="structWt_1_1WTransform_1_1TRSSDecomposition.html#_details">More...</a><br></td></tr>
</table>
<hr><a name="_details"></a><h2>Detailed Description</h2>
A 2D affine transformation matrix.
<p>
The matrix is encoded using 6 parameters: <div class="fragment"><pre class="fragment"> <a class="code" href="classWt_1_1WTransform.html#1887ee83c3b274284c323ef836529ab5" title="Returns the horizontal scaling factor.">m11</a> <a class="code" href="classWt_1_1WTransform.html#a5818883ee9a0d4f2ccede54fe4aae75" title="Returns the vertical shearing factor.">m12</a> 0
<a class="code" href="classWt_1_1WTransform.html#50b1309a9ba5a28fda585ff2645955e5" title="Returns the horizontal shearing factor.">m21</a> <a class="code" href="classWt_1_1WTransform.html#ce965ba306019e1eb77e2e19004fe26b" title="Returns the vertical scaling factor.">m22</a> 0
<a class="code" href="classWt_1_1WTransform.html#fd36c0961fe1cc7ff476824f3dfc9cea" title="Returns the horizontal translation factor.">dx</a> <a class="code" href="classWt_1_1WTransform.html#6828e36286b2fe38ec56446b007b1d41" title="Returns the vertical translation factor.">dy</a> 1
</pre></div><p>
In this representation, <a class="el" href="classWt_1_1WTransform.html#fd36c0961fe1cc7ff476824f3dfc9cea" title="Returns the horizontal translation factor.">dx()</a> (= <a class="el" href="classWt_1_1WTransform.html#8b0d30f356852c84482864009c959f83" title="Returns the horizontal translation factor.">m31()</a>) and <a class="el" href="classWt_1_1WTransform.html#6828e36286b2fe38ec56446b007b1d41" title="Returns the vertical translation factor.">dy()</a> (= <a class="el" href="classWt_1_1WTransform.html#4c3829751f5f1e48b9cc9cd43c22edb8" title="Returns the vertical translation factor.">m32()</a>) represent the translation components, and m<em>xy</em> represent a 2D matrix that contains the scale, rotation (and skew) components.<p>
The transformation is used to represent a tansformed coordinate system, and provides methods to <a class="el" href="classWt_1_1WTransform.html#4f494c6f886c1b8b15c635e2dc81cc0e" title="Rotates the transformation.">rotate()</a>, <a class="el" href="classWt_1_1WTransform.html#c9cf750c7ce44b4ecfcae59d4dd964ac" title="Scales the transformation.">scale()</a>, <a class="el" href="classWt_1_1WTransform.html#94e146a18a35ec1a9f70cf09c2df8349" title="Shears the transformation.">shear()</a> or <a class="el" href="classWt_1_1WTransform.html#d4cd675b5072c25b0545167ba41586d8" title="Translates the transformation.">translate()</a> this coordinate system.<p>
There are also 2 methods to decompose an arbitrary matrix into elementary operations:<ul>
<li><a class="el" href="classWt_1_1WTransform.html#1ff5716f31b5c2f2031e93bfcdc834cb" title="Decomposes the transformation.">decomposeTranslateRotateScaleSkew()</a>
decomposes into a <i>T</i> ∘ <i>R</i> ∘ <i>Sxx</i>
∘ <i>Sxy</i></li><li><a class="el" href="classWt_1_1WTransform.html#f5d4d93e4efed30f10aef73e44fff719" title="Decomposes the transformation.">decomposeTranslateRotateScaleRotate()</a>
decomposes into a <i>T</i> ∘ <i>R1</i> ∘ <i>Sxx</i>
∘ <i>R2</i></li></ul>
<p>
with <em>T</em> a translation, <em>R</em> a rotation, <em>Sxx</em> a scale, and <em>Sxy</em> a skew component. <hr><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" name="a83f5dc582b77c4ac706cfb6b097a6e3"></a><!-- doxytag: member="Wt::WTransform::WTransform" ref="a83f5dc582b77c4ac706cfb6b097a6e3" args="()" -->
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<p>
Default constructor.
<p>
Creates the identity transformation matrix.
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</div><p>
<a class="anchor" name="7af529e947eefac16dbce9d4ecdf374b"></a><!-- doxytag: member="Wt::WTransform::WTransform" ref="7af529e947eefac16dbce9d4ecdf374b" args="(double m11, double m12, double m21, double m22, double dx, double dy)" -->
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<td class="memname">Wt::WTransform::WTransform </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>m11</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>m12</em>, </td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>m21</em>, </td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>m22</em>, </td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>dx</em>, </td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>dy</em></td><td> </td>
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<p>
Construct a custom matrix by specifying the parameters.
<p>
Creates a matrix from the specified parameters.
</div>
</div><p>
<hr><h2>Member Function Documentation</h2>
<a class="anchor" name="5b316f9ab4b128fac20ddc193e9a531f"></a><!-- doxytag: member="Wt::WTransform::operator=" ref="5b316f9ab4b128fac20ddc193e9a531f" args="(const WTransform &rhs)" -->
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<td class="memname"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & Wt::WTransform::operator= </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classWt_1_1WTransform.html">WTransform</a> & </td>
<td class="paramname"> <em>rhs</em> </td>
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<p>
Assignment operator.
<p>
Copies the transformation from the <code>rhs</code>.
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<a class="anchor" name="8d67ff2dd96e1b7a046a81dba72b8358"></a><!-- doxytag: member="Wt::WTransform::operator==" ref="8d67ff2dd96e1b7a046a81dba72b8358" args="(const WTransform &rhs) const " -->
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<td class="memname">bool Wt::WTransform::operator== </td>
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<td class="paramname"> <em>rhs</em> </td>
<td> ) </td>
<td> const</td>
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<p>
Comparison operator.
<p>
Returns <code>true</code> if the transforms are exactly the same.
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<a class="anchor" name="b8279e66b2fced0710869593f1b7f89d"></a><!-- doxytag: member="Wt::WTransform::operator!=" ref="b8279e66b2fced0710869593f1b7f89d" args="(const WTransform &rhs) const " -->
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<td class="memname">bool Wt::WTransform::operator!= </td>
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<td class="paramtype">const <a class="el" href="classWt_1_1WTransform.html">WTransform</a> & </td>
<td class="paramname"> <em>rhs</em> </td>
<td> ) </td>
<td> const</td>
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<p>
Comparison operator.
<p>
Returns <code>true</code> if the transforms are different.
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<a class="anchor" name="2886f3ac1a3e60f90aae2505db3a6631"></a><!-- doxytag: member="Wt::WTransform::isIdentity" ref="2886f3ac1a3e60f90aae2505db3a6631" args="() const " -->
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<td class="memname">bool Wt::WTransform::isIdentity </td>
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<p>
Identity check.
<p>
Returns true if the transform represents an identity transformation.
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<a class="anchor" name="8b0d30f356852c84482864009c959f83"></a><!-- doxytag: member="Wt::WTransform::m31" ref="8b0d30f356852c84482864009c959f83" args="() const " -->
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<td class="memname">double Wt::WTransform::m31 </td>
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<p>
Returns the horizontal translation factor.
<p>
Is equivalent to <a class="el" href="classWt_1_1WTransform.html#fd36c0961fe1cc7ff476824f3dfc9cea" title="Returns the horizontal translation factor.">dx()</a>
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<a class="anchor" name="4c3829751f5f1e48b9cc9cd43c22edb8"></a><!-- doxytag: member="Wt::WTransform::m32" ref="4c3829751f5f1e48b9cc9cd43c22edb8" args="() const " -->
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<td class="memname">double Wt::WTransform::m32 </td>
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<td> const<code> [inline]</code></td>
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<p>
Returns the vertical translation factor.
<p>
Is equivalent to <a class="el" href="classWt_1_1WTransform.html#6828e36286b2fe38ec56446b007b1d41" title="Returns the vertical translation factor.">dy()</a>
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<a class="anchor" name="fd36c0961fe1cc7ff476824f3dfc9cea"></a><!-- doxytag: member="Wt::WTransform::dx" ref="fd36c0961fe1cc7ff476824f3dfc9cea" args="() const " -->
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Returns the horizontal translation factor.
<p>
Is equivalent to <a class="el" href="classWt_1_1WTransform.html#8b0d30f356852c84482864009c959f83" title="Returns the horizontal translation factor.">m31()</a>
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<a class="anchor" name="6828e36286b2fe38ec56446b007b1d41"></a><!-- doxytag: member="Wt::WTransform::dy" ref="6828e36286b2fe38ec56446b007b1d41" args="() const " -->
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Returns the vertical translation factor.
<p>
Is equivalent to <a class="el" href="classWt_1_1WTransform.html#4c3829751f5f1e48b9cc9cd43c22edb8" title="Returns the vertical translation factor.">m32()</a>
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<a class="anchor" name="201cba0a65a466383c48eb6d73b2f281"></a><!-- doxytag: member="Wt::WTransform::map" ref="201cba0a65a466383c48eb6d73b2f281" args="(const WPointF &p) const " -->
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<td class="memname"><a class="el" href="classWt_1_1WPointF.html">WPointF</a> Wt::WTransform::map </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classWt_1_1WPointF.html">WPointF</a> & </td>
<td class="paramname"> <em>p</em> </td>
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<td> const</td>
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<p>
Applys the transformation to a point.
<p>
Returns the transformed point.<p>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="classWt_1_1WTransform.html#ffc1cb0071a86302318255fd867d08a1" title="Applys the transformation to a point.">map(double x, double y, double *tx, double *ty) const</a> </dd></dl>
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<a class="anchor" name="ffc1cb0071a86302318255fd867d08a1"></a><!-- doxytag: member="Wt::WTransform::map" ref="ffc1cb0071a86302318255fd867d08a1" args="(double x, double y, double *tx, double *ty) const " -->
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<td class="memname">void Wt::WTransform::map </td>
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<td class="paramtype">double </td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>y</em>, </td>
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<td class="paramtype">double * </td>
<td class="paramname"> <em>tx</em>, </td>
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<td class="paramtype">double * </td>
<td class="paramname"> <em>ty</em></td><td> </td>
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<td>)</td>
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<p>
Applys the transformation to a point.
<p>
Sets the point (<em>tx</em>, <code>ty</code>) to the transformation of the point (<em>x</em>, <code>y</code>).<p>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="classWt_1_1WTransform.html#201cba0a65a466383c48eb6d73b2f281" title="Applys the transformation to a point.">map(const WPointF&) const</a> </dd></dl>
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<a class="anchor" name="36e8423634a12878a6a7262bd749fe6b"></a><!-- doxytag: member="Wt::WTransform::reset" ref="36e8423634a12878a6a7262bd749fe6b" args="()" -->
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<p>
Resets the transformation to the identity.
<p>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="classWt_1_1WTransform.html#2886f3ac1a3e60f90aae2505db3a6631" title="Identity check.">isIdentity()</a>, <a class="el" href="classWt_1_1WTransform.html#a83f5dc582b77c4ac706cfb6b097a6e3" title="Default constructor.">WTransform()</a> </dd></dl>
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<a class="anchor" name="4f494c6f886c1b8b15c635e2dc81cc0e"></a><!-- doxytag: member="Wt::WTransform::rotate" ref="4f494c6f886c1b8b15c635e2dc81cc0e" args="(double angle)" -->
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<td class="memname"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & Wt::WTransform::rotate </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>angle</em> </td>
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<p>
Rotates the transformation.
<p>
Applies a clock-wise rotation to the current transformation matrix, over <code>angle</code> degrees.<p>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="classWt_1_1WTransform.html#72f394181e722cd890c06bb37e36e7db" title="Rotates the transformation.">rotateRadians()</a> </dd></dl>
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<td class="memname"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & Wt::WTransform::rotateRadians </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>angle</em> </td>
<td> ) </td>
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<p>
Rotates the transformation.
<p>
Applies a clock-wise rotation to the current transformation matrix, over <code>angle</code> radians.<p>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="classWt_1_1WTransform.html#4f494c6f886c1b8b15c635e2dc81cc0e" title="Rotates the transformation.">rotate()</a> </dd></dl>
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<a class="anchor" name="c9cf750c7ce44b4ecfcae59d4dd964ac"></a><!-- doxytag: member="Wt::WTransform::scale" ref="c9cf750c7ce44b4ecfcae59d4dd964ac" args="(double sx, double sy)" -->
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<td class="memname"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & Wt::WTransform::scale </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>sx</em>, </td>
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<p>
Scales the transformation.
<p>
Applies a clock-wise rotation to the current transformation matrix, over <code>angle</code> radians.<p>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="classWt_1_1WTransform.html#94e146a18a35ec1a9f70cf09c2df8349" title="Shears the transformation.">shear()</a> </dd></dl>
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<a class="anchor" name="94e146a18a35ec1a9f70cf09c2df8349"></a><!-- doxytag: member="Wt::WTransform::shear" ref="94e146a18a35ec1a9f70cf09c2df8349" args="(double sh, double sv)" -->
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<td class="memname"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> & Wt::WTransform::shear </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>sh</em>, </td>
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<td class="paramname"> <em>sv</em></td><td> </td>
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<p>
Shears the transformation.
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Shears the current transformation.<p>
<dl class="see" compact><dt><b>See also:</b></dt><dd><a class="el" href="classWt_1_1WTransform.html#c9cf750c7ce44b4ecfcae59d4dd964ac" title="Scales the transformation.">scale()</a>, <a class="el" href="classWt_1_1WTransform.html#4f494c6f886c1b8b15c635e2dc81cc0e" title="Rotates the transformation.">rotate()</a> </dd></dl>
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<a class="anchor" name="d4cd675b5072c25b0545167ba41586d8"></a><!-- doxytag: member="Wt::WTransform::translate" ref="d4cd675b5072c25b0545167ba41586d8" args="(double dx, double dy)" -->
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Translates the transformation.
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Translates the current transformation.
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<a class="anchor" name="9747188f5900f5785ac15ffa3838533b"></a><!-- doxytag: member="Wt::WTransform::inverted" ref="9747188f5900f5785ac15ffa3838533b" args="() const " -->
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<td class="memname"><a class="el" href="classWt_1_1WTransform.html">WTransform</a> Wt::WTransform::inverted </td>
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Returns the inverted transformation.
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Returns <code>this</code> if the transformation could not be inverted (<a class="el" href="classWt_1_1WTransform.html#1f5205bf60740327910dc93b057b2a08" title="Returns the determinant.">determinant()</a> == 0), and logs an error instead.
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<a class="anchor" name="1ff5716f31b5c2f2031e93bfcdc834cb"></a><!-- doxytag: member="Wt::WTransform::decomposeTranslateRotateScaleSkew" ref="1ff5716f31b5c2f2031e93bfcdc834cb" args="(TRSSDecomposition &result) const " -->
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Decomposes the transformation.
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Decomposes the transformation into elementary operations: translation (<em>dx</em>, <code>dy</code>), followed by rotation (<em>alpha</em>), followed by scale (<em>sx</em>, <code>sy</code>) and vertical shearing factor (<code>sh</code>). The angle is expressed in radians.<p>
This performs a <a href="http://en.wikipedia.org/wiki/Gram_schmidt">Gram-Schmidt orthonormalization</a>.
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<a class="anchor" name="f5d4d93e4efed30f10aef73e44fff719"></a><!-- doxytag: member="Wt::WTransform::decomposeTranslateRotateScaleRotate" ref="f5d4d93e4efed30f10aef73e44fff719" args="(TRSRDecomposition &result) const " -->
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Decomposes the transformation.
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Decomposes the transformation into elementary operations: translation (<em>dx</em>, <code>dy</code>), followed by rotation (<em>alpha2</em>), followed by scale (<em>sx</em>, <code>sy</code>) and again a rotation (<code>alpha2</code>). The angles are expressed in radians.<p>
This performs a <a href="http://en.wikipedia.org/wiki/Singular_value_decomposition">Singular Value Decomposition (SVD)</a>.
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