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<div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.referencing.operation.matrix</a></div>
<h2 title="Class AffineTransforms2D" class="title">Class AffineTransforms2D</h2>
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<pre>public final class <span class="typeNameLabel">AffineTransforms2D</span>
extends <a href="../../../util/Static.html" title="class in org.apache.sis.util">Static</a></pre>
<div class="block">Bridge between <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/Matrix.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink"><code>Matrix</code></a> and Java2D <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink"><code>Affine­Transform</code></a> instances.
Those <code>Affine­Transform</code> instances can be viewed as 3×3 matrices.</div>
<dl>
<dt><span class="simpleTagLabel">Since:</span></dt>
<dd>0.4</dd>
<p><font size="-1">Defined in the <code>sis-referencing</code> module</font></p>
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<h3>Method Summary</h3>
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<caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd">&nbsp;</span></span><span id="t1" class="tableTab"><span><a href="javascript:show(1);">Static Methods</a></span><span class="tabEnd">&nbsp;</span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd">&nbsp;</span></span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colSecond" scope="col">Method</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tr id="i0" class="altColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#castOrCopy(org.opengis.referencing.operation.Matrix)">castOrCopy</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/Matrix.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Matrix</a>&nbsp;matrix)</code></th>
<td class="colLast">
<div class="block">Returns the given matrix as a Java2D affine transform.</div>
</td>
</tr>
<tr id="i1" class="rowColor">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getFlip(java.awt.geom.AffineTransform)">getFlip</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</code></th>
<td class="colLast">
<div class="block">Returns <code>-1</code> if one axis has been flipped, <code>+1</code> if no axis has been flipped, or 0 if unknown.</div>
</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getRotation(java.awt.geom.AffineTransform)">getRotation</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</code></th>
<td class="colLast">
<div class="block">Returns an estimation of the rotation angle in radians.</div>
</td>
</tr>
<tr id="i3" class="rowColor">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getScaleX0(java.awt.geom.AffineTransform)">getScaleX0</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</code></th>
<td class="colLast">
<div class="block">Returns the magnitude of scale factor <var>x</var> by canceling the
effect of eventual flip and rotation.</div>
</td>
</tr>
<tr id="i4" class="altColor">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getScaleY0(java.awt.geom.AffineTransform)">getScaleY0</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</code></th>
<td class="colLast">
<div class="block">Returns the magnitude of scale factor <var>y</var> by canceling the
effect of eventual flip and rotation.</div>
</td>
</tr>
<tr id="i5" class="rowColor">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getSwapXY(java.awt.geom.AffineTransform)">getSwapXY</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</code></th>
<td class="colLast">
<div class="block">Returns an estimation about whether the specified transform swaps <var>x</var> and <var>y</var> axes.</div>
</td>
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<tr id="i6" class="altColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#inverseDeltaTransform(java.awt.geom.AffineTransform,java.awt.geom.Point2D,java.awt.geom.Point2D)">inverseDeltaTransform</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;vector,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;dest)</code></th>
<td class="colLast">
<div class="block">Calculates the inverse transform of a point without applying the translation components.</div>
</td>
</tr>
<tr id="i7" class="rowColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#inverseTransform(java.awt.geom.AffineTransform,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)">inverseTransform</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;bounds,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;dest)</code></th>
<td class="colLast">
<div class="block">Calculates a rectangle which entirely contains the inverse transform of <code>bounds</code>.</div>
</td>
</tr>
<tr id="i8" class="altColor">
<td class="colFirst"><code>static <a href="Matrix3.html" title="class in org.apache.sis.referencing.operation.matrix">Matrix3</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#toMatrix(java.awt.geom.AffineTransform)">toMatrix</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</code></th>
<td class="colLast">
<div class="block">Creates a 3×3 matrix from the given affine transform.</div>
</td>
</tr>
<tr id="i9" class="rowColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#transform(java.awt.geom.AffineTransform,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)">transform</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;bounds,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;dest)</code></th>
<td class="colLast">
<div class="block">Calculates a rectangle which entirely contains the direct transform of <code>bounds</code>.</div>
</td>
</tr>
<tr id="i10" class="altColor">
<td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/Shape.html?is-external=true" title="class or interface in java.awt" class="externalLink">Shape</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#transform(java.awt.geom.AffineTransform,java.awt.Shape,boolean)">transform</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/Shape.html?is-external=true" title="class or interface in java.awt" class="externalLink">Shape</a>&nbsp;shape,
boolean&nbsp;allowOverwrite)</code></th>
<td class="colLast">
<div class="block">Transforms the given shape.</div>
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<code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang" class="externalLink">clone</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang" class="externalLink">equals</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang" class="externalLink">finalize</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang" class="externalLink">get­Class</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang" class="externalLink">hash­Code</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang" class="externalLink">notify</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang" class="externalLink">notify­All</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang" class="externalLink">to­String</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang" class="externalLink">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang" class="externalLink">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait(long,int)" title="class or interface in java.lang" class="externalLink">wait</a></code></li>
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<h4>castOrCopy</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;castOrCopy&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/Matrix.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Matrix</a>&nbsp;matrix)
throws <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang" class="externalLink">IllegalArgumentException</a></pre>
<div class="block">Returns the given matrix as a Java2D affine transform.
If the given matrix is already an instance of <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink"><code>Affine­Transform</code></a>, then it is returned directly.
Otherwise the values are copied in a new <code>Affine­Transform</code> instance.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>matrix</code> - the matrix to returns as an affine transform, or <code>null</code>.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the matrix argument if it can be safely casted (including <code>null</code> argument),
or a copy of the given matrix otherwise.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang" class="externalLink">Illegal­Argument­Exception</a></code> - if the given matrix size is not 3×3 or if the matrix is not affine.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="Matrices.html#isAffine(org.opengis.referencing.operation.Matrix)"><code>Matrices​.is­Affine(Matrix)</code></a></dd>
</dl>
</li>
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<h4>toMatrix</h4>
<pre class="methodSignature">public static&nbsp;<a href="Matrix3.html" title="class in org.apache.sis.referencing.operation.matrix">Matrix3</a>&nbsp;toMatrix&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</pre>
<div class="block">Creates a 3×3 matrix from the given affine transform.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to copy as a matrix.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>a matrix containing the same terms than the given affine transform.</dd>
</dl>
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<h4>transform</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/Shape.html?is-external=true" title="class or interface in java.awt" class="externalLink">Shape</a>&nbsp;transform&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/Shape.html?is-external=true" title="class or interface in java.awt" class="externalLink">Shape</a>&nbsp;shape,
boolean&nbsp;allowOverwrite)</pre>
<div class="block">Transforms the given shape.
This method is similar to <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true#createTransformedShape(java.awt.Shape)" title="class or interface in java.awt.geom" class="externalLink"><code>Affine­Transform​.create­Transformed­Shape(Shape)</code></a> except that:
<ul>
<li>It tries to preserve the shape kind when possible. For example if the given shape
is an instance of <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/RectangularShape.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink"><code>Rectangular­Shape</code></a> and the given transform does not involve
rotation, then the returned shape may be some instance of the same class.</li>
<li>It tries to recycle the given object if <code>overwrite</code> is <code>true</code>.</li>
</ul></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to use.</dd>
<dd><code>shape</code> - the shape to transform, or <code>null</code>.</dd>
<dd><code>allow­Overwrite</code> - if <code>true</code>, this method is allowed to overwrite <code>shape</code> with the
transform result. If <code>false</code>, then <code>shape</code> is never modified.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the transform of the given shape, or <code>null</code> if the given shape was null.
May or may not be the same instance than the given shape.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true#createTransformedShape(java.awt.Shape)" title="class or interface in java.awt.geom" class="externalLink"><code>Affine­Transform​.create­Transformed­Shape(Shape)</code></a></dd>
</dl>
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<h4>transform</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;transform&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;bounds,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;dest)</pre>
<div class="block">Calculates a rectangle which entirely contains the direct transform of <code>bounds</code>.
This operation is equivalent to the following code, except that it can reuse the
given <code>dest</code> rectangle and is potentially more efficient:
<blockquote><pre><font color="green">return</font> transform.<b>createTransformedShape</b>(bounds).<b>getBounds2D</b>();</pre></blockquote>
Note that if the given rectangle is an image bounds, then the given transform shall map the
<strong>upper-left corner</strong> of pixels (as in Java2D usage), not the center of pixels
(OGC usage).</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to use.</dd>
<dd><code>bounds</code> - the rectangle to transform, or <code>null</code>.
this rectangle will not be modified except if <code>dest</code> references the same object.</dd>
<dd><code>dest</code> - rectangle in which to place the result. If <code>null</code>, a new rectangle will be created.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the direct transform of the <code>bounds</code> rectangle, or <code>null</code> if <code>bounds</code> was null.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../geometry/Shapes2D.html#transform(org.opengis.referencing.operation.MathTransform2D,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)"><code>Shapes2D​.transform(Math­Transform2D, Rectangle2D, Rectangle2D)</code></a></dd>
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<h4>inverseTransform</h4>
<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;inverseTransform&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;bounds,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Rectangle2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Rectangle2D</a>&nbsp;dest)
throws <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/NoninvertibleTransformException.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">NoninvertibleTransformException</a></pre>
<div class="block">Calculates a rectangle which entirely contains the inverse transform of <code>bounds</code>.
This operation is equivalent to the following code, except that it can reuse the
given <code>dest</code> rectangle and is potentially more efficient:
<blockquote><pre><font color="green">return</font> <b>createInverse</b>().<b>createTransformedShape</b>(bounds).<b>getBounds2D</b>();</pre></blockquote></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to use.</dd>
<dd><code>bounds</code> - the rectangle to transform, or <code>null</code>.
this rectangle will not be modified except if <code>dest</code> references the same object.</dd>
<dd><code>dest</code> - rectangle in which to place the result. If <code>null</code>, a new rectangle will be created.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the inverse transform of the <code>bounds</code> rectangle, or <code>null</code> if <code>bounds</code> was null.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/NoninvertibleTransformException.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Noninvertible­Transform­Exception</a></code> - if the affine transform can't be inverted.</dd>
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<pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;inverseDeltaTransform&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;vector,
<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Point2D</a>&nbsp;dest)
throws <a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/NoninvertibleTransformException.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">NoninvertibleTransformException</a></pre>
<div class="block">Calculates the inverse transform of a point without applying the translation components.
In other words, calculates the inverse transform of a displacement vector.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to use.</dd>
<dd><code>vector</code> - the vector to transform stored as a point.
this point will not be modified except if <code>dest</code> references the same object.</dd>
<dd><code>dest</code> - point in which to place the result. If <code>null</code>, a new point will be created.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the inverse transform of the <code>vector</code>, or <code>null</code> if <code>source</code> was null.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/NoninvertibleTransformException.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">Noninvertible­Transform­Exception</a></code> - if the affine transform can't be inverted.</dd>
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<pre class="methodSignature">public static&nbsp;int&nbsp;getSwapXY&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</pre>
<div class="block">Returns an estimation about whether the specified transform swaps <var>x</var> and <var>y</var> axes.
This method assumes that the specified affine transform is built from arbitrary translations, scales or
rotations, but no shear. It returns <code>+1</code> if the (<var>x</var>, <var>y</var>) axis order seems to be
preserved, <code>-1</code> if the transform seems to swap axis to the (<var>y</var>, <var>x</var>) axis order,
or <code>0</code> if this method can not make a decision.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to inspect.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd><code>true</code> if the given transform seems to swap axis order.</dd>
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<pre class="methodSignature">public static&nbsp;double&nbsp;getRotation&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</pre>
<div class="block">Returns an estimation of the rotation angle in radians. This method assumes that the specified affine
transform is built from arbitrary translations, scales or rotations, but no shear. If a flip has been
applied, then this method assumes that the flipped axis is the <var>y</var> one in <cite>source CRS</cite>
space. For a <cite>grid to world CRS</cite> transform, this is the row number in grid coordinates.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to inspect.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>an estimation of the rotation angle in radians,
or <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Double.html?is-external=true#NaN" title="class or interface in java.lang" class="externalLink"><code>Na­N</code></a> if the angle can not be estimated.</dd>
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<pre class="methodSignature">public static&nbsp;int&nbsp;getFlip&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</pre>
<div class="block">Returns <code>-1</code> if one axis has been flipped, <code>+1</code> if no axis has been flipped, or 0 if unknown.
A flipped axis in an axis with direction reversed (typically the <var>y</var> axis). This method assumes
that the specified affine transform is built from arbitrary translations, scales or rotations, but no shear.
Note that it is not possible to determine which of the <var>x</var> or <var>y</var> axis has been flipped.
<p>This method can be used in order to set the sign of a scale according the flipping state.
The example below choose to apply the sign on the <var>y</var> scale, but this is an arbitrary
(while common) choice:</p>
<blockquote><pre><font color="green">double</font> scaleX0 = <b>getScaleX0</b>(transform);
<font color="green">double</font> scaleY0 = <b>getScaleY0</b>(transform);
<font color="green">int</font> flip = <b>getFlip</b>(transform);
<font color="green">if</font> (flip != 0) {
scaleY0 *= flip;
<i><font color="gray">// ... continue the process here.</font></i>
}</pre></blockquote>
This method is similar to the following code, except that this method distinguishes
between "unflipped" and "unknown" states.
<blockquote><pre><font color="green">boolean</font> flipped = (tr.<b>getType</b>() &amp; TYPE_FLIP) != 0;</pre></blockquote></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to inspect.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>-1 if an axis has been flipped, +1 if no flipping, or 0 if unknown.</dd>
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<pre class="methodSignature">public static&nbsp;double&nbsp;getScaleX0&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</pre>
<div class="block">Returns the magnitude of scale factor <var>x</var> by canceling the
effect of eventual flip and rotation. This factor is calculated by:
<p><img src="doc-files/scaleX0.png" alt="Scale factor on x axis"></p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to inspect.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the magnitude of scale factor <var>x</var>.</dd>
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<pre class="methodSignature">public static&nbsp;double&nbsp;getScaleY0&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/awt/geom/AffineTransform.html?is-external=true" title="class or interface in java.awt.geom" class="externalLink">AffineTransform</a>&nbsp;transform)</pre>
<div class="block">Returns the magnitude of scale factor <var>y</var> by canceling the
effect of eventual flip and rotation. This factor is calculated by:
<p><img src="doc-files/scaleY0.png" alt="Scale factor on y axis"></p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>transform</code> - the affine transform to inspect.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the magnitude of scale factor <var>y</var>.</dd>
</dl>
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