org.apache.sis.referencing/org/apache/sis/referencing/operation/matrix/AffineTransforms2D.html - sis-site - Git at Google

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 <div class="sub-title"><span class="module-label-in-type">Module</span>&nbsp;<a href="../../../../../../module-summary.html">org.apache.sis.referencing</a></div>
 <div class="sub-title"><span class="package-label-in-type">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.referencing.operation.matrix</a></div>
 <h1 title="Class AffineTransforms2D" class="title">Class AffineTransforms2D</h1>
 </div>
 <div class="inheritance" title="Inheritance Tree"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a>
 <div class="inheritance"><a href="../../../../../../../org.apache.sis.util/org/apache/sis/util/Static.html" title="class in org.apache.sis.util">Static</a>
 <div class="inheritance">AffineTransforms2D</div>
 </div>
 </div>
 <section class="class-description" id="class-description">
 <hr>
 <div class="type-signature"><span class="modifiers">public final class </span><span class="element-name type-name-label">AffineTransforms2D</span>
 <span class="extends-implements">extends <a href="../../../../../../../org.apache.sis.util/org/apache/sis/util/Static.html" title="class in org.apache.sis.util">Static</a></span></div>
 <div class="block">Bridge between <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/Matrix.html" title="class or interface in org.opengis.referencing.operation" class="external-link"><code>Matrix</code></a> and Java2D <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link"><code>AffineTransform</code></a> instances.
  Those <code>AffineTransform</code> instances can be viewed as 3×3 matrices.
  Contains also utility methods operating on <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link"><code>AffineTransform</code></a> instances.</div>
 <dl class="notes">
 <dt>Since:</dt>
 <dd>0.4</dd>
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 <section class="method-summary" id="method-summary">
 <h2>Method Summary</h2>
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 <div class="table-tabs" role="tablist" aria-orientation="horizontal"><button id="method-summary-table-tab0" role="tab" aria-selected="true" aria-controls="method-summary-table.tabpanel" tabindex="0" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table', 3)" class="active-table-tab">All Methods</button><button id="method-summary-table-tab1" role="tab" aria-selected="false" aria-controls="method-summary-table.tabpanel" tabindex="-1" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table-tab1', 3)" class="table-tab">Static Methods</button><button id="method-summary-table-tab4" role="tab" aria-selected="false" aria-controls="method-summary-table.tabpanel" tabindex="-1" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table-tab4', 3)" class="table-tab">Concrete Methods</button></div>
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 <div class="summary-table three-column-summary" aria-labelledby="method-summary-table-tab0">
 <div class="table-header col-first">Modifier and Type</div>
 <div class="table-header col-second">Method</div>
 <div class="table-header col-last">Description</div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#castOrCopy(org.opengis.referencing.operation.MathTransform)" class="member-name-link">castOrCopy</a><wbr>(<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html" title="class or interface in org.opengis.referencing.operation" class="external-link">MathTransform</a>&nbsp;transform)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Returns the given transform as a Java2D affine transform.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#castOrCopy(org.opengis.referencing.operation.Matrix)" class="member-name-link">castOrCopy</a><wbr>(<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/Matrix.html" title="class or interface in org.opengis.referencing.operation" class="external-link">Matrix</a>&nbsp;matrix)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Returns the given matrix as a Java2D affine transform.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static int</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#getFlip(java.awt.geom.AffineTransform)" class="member-name-link">getFlip</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <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>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static double</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#getRotation(java.awt.geom.AffineTransform)" class="member-name-link">getRotation</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Returns an estimation of the rotation angle in radians.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static double</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#getScale(java.awt.geom.AffineTransform)" class="member-name-link">getScale</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;tr)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Returns a global scale factor for the specified affine transform.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static double</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#getScaleX0(java.awt.geom.AffineTransform)" class="member-name-link">getScaleX0</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Returns the magnitude of scale factor <var>x</var> by canceling the
  effect of eventual flip and rotation.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static double</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#getScaleY0(java.awt.geom.AffineTransform)" class="member-name-link">getScaleY0</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Returns the magnitude of scale factor <var>y</var> by canceling the
  effect of eventual flip and rotation.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static int</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#getSwapXY(java.awt.geom.AffineTransform)" class="member-name-link">getSwapXY</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Returns an estimation about whether the specified transform swaps <var>x</var> and <var>y</var> axes.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Point2D.html" title="class or interface in java.awt.geom" class="external-link">Point2D</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#inverseDeltaTransform(java.awt.geom.AffineTransform,java.awt.geom.Point2D,java.awt.geom.Point2D)" class="member-name-link">inverseDeltaTransform</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Point2D.html" title="class or interface in java.awt.geom" class="external-link">Point2D</a>&nbsp;vector,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Point2D.html" title="class or interface in java.awt.geom" class="external-link">Point2D</a>&nbsp;dest)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Calculates the inverse transform of a point without applying the translation components.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#inverseTransform(java.awt.geom.AffineTransform,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)" class="member-name-link">inverseTransform</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a>&nbsp;bounds,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a>&nbsp;dest)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Calculates a rectangle which entirely contains the inverse transform of <code>bounds</code>.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="../transform/LinearTransform.html" title="interface in org.apache.sis.referencing.operation.transform">LinearTransform</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#toMathTransform(java.awt.geom.AffineTransform)" class="member-name-link">toMathTransform</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Creates a math transform from the given affine transform.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="Matrix3.html" title="class in org.apache.sis.referencing.operation.matrix">Matrix3</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#toMatrix(java.awt.geom.AffineTransform)" class="member-name-link">toMatrix</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Creates a 3×3 matrix from the given affine transform.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#transform(java.awt.geom.AffineTransform,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)" class="member-name-link">transform</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a>&nbsp;bounds,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a>&nbsp;dest)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Calculates a rectangle which entirely contains the direct transform of <code>bounds</code>.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/Shape.html" title="class or interface in java.awt" class="external-link">Shape</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#transform(java.awt.geom.AffineTransform,java.awt.Shape,boolean)" class="member-name-link">transform</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/Shape.html" title="class or interface in java.awt" class="external-link">Shape</a>&nbsp;shape,
  boolean&nbsp;allowOverwrite)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Transforms the given shape.</div>
 </div>
 </div>
 </div>
 </div>
 <div class="inherited-list">
 <h3 id="methods-inherited-from-class-Object">Methods inherited from class&nbsp;<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a></h3>
 <code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#clone()" title="class or interface in java.lang" class="external-link">clone</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#equals(java.lang.Object)" title="class or interface in java.lang" class="external-link">equals</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#finalize()" title="class or interface in java.lang" class="external-link">finalize</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#getClass()" title="class or interface in java.lang" class="external-link">getClass</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#hashCode()" title="class or interface in java.lang" class="external-link">hashCode</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#notify()" title="class or interface in java.lang" class="external-link">notify</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#notifyAll()" title="class or interface in java.lang" class="external-link">notifyAll</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#toString()" title="class or interface in java.lang" class="external-link">toString</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#wait()" title="class or interface in java.lang" class="external-link">wait</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#wait(long)" title="class or interface in java.lang" class="external-link">wait</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#wait(long,int)" title="class or interface in java.lang" class="external-link">wait</a></code></div>
 </section>
 </li>
 </ul>
 </section>
 <section class="details">
 <ul class="details-list">
 <!-- ============ METHOD DETAIL ========== -->
 <li>
 <section class="method-details" id="method-detail">
 <h2>Method Details</h2>
 <ul class="member-list">
 <li>
 <section class="detail" id="castOrCopy(org.opengis.referencing.operation.MathTransform)">
 <h3>castOrCopy</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a></span>&nbsp;<span class="element-name">castOrCopy</span><wbr><span class="parameters">(<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html" title="class or interface in org.opengis.referencing.operation" class="external-link">MathTransform</a>&nbsp;transform)</span>
                                   throws <span class="exceptions"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/IllegalArgumentException.html" title="class or interface in java.lang" class="external-link">IllegalArgumentException</a></span></div>
 <div class="block">Returns the given transform as a Java2D affine transform.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>transform</code> - the transform to convert, or <code>null</code>.</dd>
 <dt>Returns:</dt>
 <dd>the transform argument if it can be safely casted (including <code>null</code> argument) or converted.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/IllegalArgumentException.html" title="class or interface in java.lang" class="external-link">IllegalArgumentException</a></code> - if the given transform cannot be casted or converted.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list-long">
 <li><a href="#toMathTransform(java.awt.geom.AffineTransform)"><code>toMathTransform(AffineTransform)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="castOrCopy(org.opengis.referencing.operation.Matrix)">
 <h3>castOrCopy</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a></span>&nbsp;<span class="element-name">castOrCopy</span><wbr><span class="parameters">(<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/Matrix.html" title="class or interface in org.opengis.referencing.operation" class="external-link">Matrix</a>&nbsp;matrix)</span>
                                   throws <span class="exceptions"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/IllegalArgumentException.html" title="class or interface in java.lang" class="external-link">IllegalArgumentException</a></span></div>
 <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/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link"><code>AffineTransform</code></a>, then it is returned directly.
  Otherwise the values are copied in a new <code>AffineTransform</code> instance.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>matrix</code> - the matrix to return as an affine transform, or <code>null</code>.</dd>
 <dt>Returns:</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>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/IllegalArgumentException.html" title="class or interface in java.lang" class="external-link">IllegalArgumentException</a></code> - if the given matrix size is not 3×3 or if the matrix is not affine.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="Matrices.html#isAffine(org.opengis.referencing.operation.Matrix)"><code>Matrices.isAffine(Matrix)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="toMatrix(java.awt.geom.AffineTransform)">
 <h3>toMatrix</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="Matrix3.html" title="class in org.apache.sis.referencing.operation.matrix">Matrix3</a></span>&nbsp;<span class="element-name">toMatrix</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</span></div>
 <div class="block">Creates a 3×3 matrix from the given affine transform.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>transform</code> - the affine transform to copy as a matrix.</dd>
 <dt>Returns:</dt>
 <dd>a matrix containing the same terms than the given affine transform.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="toMathTransform(java.awt.geom.AffineTransform)">
 <h3>toMathTransform</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="../transform/LinearTransform.html" title="interface in org.apache.sis.referencing.operation.transform">LinearTransform</a></span>&nbsp;<span class="element-name">toMathTransform</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</span></div>
 <div class="block">Creates a math transform from the given affine transform.
  This method is the converse of <a href="#castOrCopy(org.opengis.referencing.operation.MathTransform)"><code>castOrCopy(MathTransform)</code></a>.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>transform</code> - the affine transform to cast or copy as a <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html" title="class or interface in org.opengis.referencing.operation" class="external-link"><code>MathTransform</code></a>, or <code>null</code>.</dd>
 <dt>Returns:</dt>
 <dd>a <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html" title="class or interface in org.opengis.referencing.operation" class="external-link"><code>MathTransform</code></a> doing the same operation than the given <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link"><code>AffineTransform</code></a>,
          or <code>null</code> if the given transform was null.</dd>
 <dt>Since:</dt>
 <dd>1.1</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="#castOrCopy(org.opengis.referencing.operation.MathTransform)"><code>castOrCopy(MathTransform)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="transform(java.awt.geom.AffineTransform,java.awt.Shape,boolean)">
 <h3>transform</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/Shape.html" title="class or interface in java.awt" class="external-link">Shape</a></span>&nbsp;<span class="element-name">transform</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/Shape.html" title="class or interface in java.awt" class="external-link">Shape</a>&nbsp;shape,
  boolean&nbsp;allowOverwrite)</span></div>
 <div class="block">Transforms the given shape.
  This method is similar to <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html#createTransformedShape(java.awt.Shape)" title="class or interface in java.awt.geom" class="external-link"><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/en/java/javase/11/docs/api/java.desktop/java/awt/geom/RectangularShape.html" title="class or interface in java.awt.geom" class="external-link"><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 class="notes">
 <dt>Parameters:</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>Returns:</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>See Also:</dt>
 <dd>
 <ul class="tag-list-long">
 <li><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html#createTransformedShape(java.awt.Shape)" title="class or interface in java.awt.geom" class="external-link"><code>AffineTransform.createTransformedShape(Shape)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="transform(java.awt.geom.AffineTransform,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)">
 <h3>transform</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a></span>&nbsp;<span class="element-name">transform</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a>&nbsp;bounds,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a>&nbsp;dest)</span></div>
 <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:


 <div class="snippet-container"><button class="copy snippet-copy" aria-label="Copy snippet" onclick="copySnippet(this)"><span data-copied="Copied!">Copy</span><img src="../../../../../../../copy.svg" alt="Copy snippet"></button>
 <pre class="snippet"><code class="language-java">return transform.createTransformedShape(bounds).getBounds2D();
 </code></pre>
 </div>


  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 class="notes">
 <dt>Parameters:</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>Returns:</dt>
 <dd>the direct transform of the <code>bounds</code> rectangle, or <code>null</code> if <code>bounds</code> was null.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list-long">
 <li><a href="../../../geometry/Shapes2D.html#transform(org.opengis.referencing.operation.CoordinateOperation,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)"><code>Shapes2D.transform(MathTransform2D, Rectangle2D, Rectangle2D)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="inverseTransform(java.awt.geom.AffineTransform,java.awt.geom.Rectangle2D,java.awt.geom.Rectangle2D)">
 <h3>inverseTransform</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a></span>&nbsp;<span class="element-name">inverseTransform</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a>&nbsp;bounds,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Rectangle2D.html" title="class or interface in java.awt.geom" class="external-link">Rectangle2D</a>&nbsp;dest)</span>
                                     throws <span class="exceptions"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/NoninvertibleTransformException.html" title="class or interface in java.awt.geom" class="external-link">NoninvertibleTransformException</a></span></div>
 <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:


 <div class="snippet-container"><button class="copy snippet-copy" aria-label="Copy snippet" onclick="copySnippet(this)"><span data-copied="Copied!">Copy</span><img src="../../../../../../../copy.svg" alt="Copy snippet"></button>
 <pre class="snippet"><code class="language-java">return createInverse().createTransformedShape(bounds).getBounds2D();
 </code></pre>
 </div>
 </div>
 <dl class="notes">
 <dt>Parameters:</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>Returns:</dt>
 <dd>the inverse transform of the <code>bounds</code> rectangle, or <code>null</code> if <code>bounds</code> was null.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/NoninvertibleTransformException.html" title="class or interface in java.awt.geom" class="external-link">NoninvertibleTransformException</a></code> - if the affine transform cannot be inverted.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="inverseDeltaTransform(java.awt.geom.AffineTransform,java.awt.geom.Point2D,java.awt.geom.Point2D)">
 <h3>inverseDeltaTransform</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Point2D.html" title="class or interface in java.awt.geom" class="external-link">Point2D</a></span>&nbsp;<span class="element-name">inverseDeltaTransform</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Point2D.html" title="class or interface in java.awt.geom" class="external-link">Point2D</a>&nbsp;vector,
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/Point2D.html" title="class or interface in java.awt.geom" class="external-link">Point2D</a>&nbsp;dest)</span>
                                      throws <span class="exceptions"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/NoninvertibleTransformException.html" title="class or interface in java.awt.geom" class="external-link">NoninvertibleTransformException</a></span></div>
 <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 class="notes">
 <dt>Parameters:</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>Returns:</dt>
 <dd>the inverse transform of the <code>vector</code>, or <code>null</code> if <code>source</code> was null.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/NoninvertibleTransformException.html" title="class or interface in java.awt.geom" class="external-link">NoninvertibleTransformException</a></code> - if the affine transform cannot be inverted.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="getSwapXY(java.awt.geom.AffineTransform)">
 <h3>getSwapXY</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">getSwapXY</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</span></div>
 <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 cannot make a decision.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>transform</code> - the affine transform to inspect.</dd>
 <dt>Returns:</dt>
 <dd><code>true</code> if the given transform seems to swap axis order.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="getRotation(java.awt.geom.AffineTransform)">
 <h3>getRotation</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type">double</span>&nbsp;<span class="element-name">getRotation</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</span></div>
 <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 class="notes">
 <dt>Parameters:</dt>
 <dd><code>transform</code> - the affine transform to inspect.</dd>
 <dt>Returns:</dt>
 <dd>an estimation of the rotation angle in radians,
          or <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Double.html#NaN" title="class or interface in java.lang" class="external-link"><code>NaN</code></a> if the angle cannot be estimated.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="getFlip(java.awt.geom.AffineTransform)">
 <h3>getFlip</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">getFlip</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</span></div>
 <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>


 <div class="snippet-container"><button class="copy snippet-copy" aria-label="Copy snippet" onclick="copySnippet(this)"><span data-copied="Copied!">Copy</span><img src="../../../../../../../copy.svg" alt="Copy snippet"></button>
 <pre class="snippet"><code class="language-java">double scaleX0 = getScaleX0(transform);
 double scaleY0 = getScaleY0(transform);
 int    flip    = getFlip(transform);
 if (flip != 0) {
     scaleY0 *= flip;
     // ... continue the process here.
 }
 </code></pre>
 </div>


  This method is similar to the following code, except that this method distinguishes
  between "unflipped" and "unknown" states.


 <div class="snippet-container"><button class="copy snippet-copy" aria-label="Copy snippet" onclick="copySnippet(this)"><span data-copied="Copied!">Copy</span><img src="../../../../../../../copy.svg" alt="Copy snippet"></button>
 <pre class="snippet"><code class="language-java">boolean flipped = (tr.getType() &amp; TYPE_FLIP) != 0;
 </code></pre>
 </div>
 </div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>transform</code> - the affine transform to inspect.</dd>
 <dt>Returns:</dt>
 <dd>-1 if an axis has been flipped, +1 if no flipping, or 0 if unknown.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="getScaleX0(java.awt.geom.AffineTransform)">
 <h3>getScaleX0</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type">double</span>&nbsp;<span class="element-name">getScaleX0</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</span></div>
 <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 class="notes">
 <dt>Parameters:</dt>
 <dd><code>transform</code> - the affine transform to inspect.</dd>
 <dt>Returns:</dt>
 <dd>the magnitude of scale factor <var>x</var>.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="getScaleY0(java.awt.geom.AffineTransform)">
 <h3>getScaleY0</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type">double</span>&nbsp;<span class="element-name">getScaleY0</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;transform)</span></div>
 <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 class="notes">
 <dt>Parameters:</dt>
 <dd><code>transform</code> - the affine transform to inspect.</dd>
 <dt>Returns:</dt>
 <dd>the magnitude of scale factor <var>y</var>.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="getScale(java.awt.geom.AffineTransform)">
 <h3>getScale</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type">double</span>&nbsp;<span class="element-name">getScale</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.desktop/java/awt/geom/AffineTransform.html" title="class or interface in java.awt.geom" class="external-link">AffineTransform</a>&nbsp;tr)</span></div>
 <div class="block">Returns a global scale factor for the specified affine transform. This scale factor combines
  <a href="#getScaleX0(java.awt.geom.AffineTransform)"><code>getScaleX0(tr)</code></a> and <a href="#getScaleY0(java.awt.geom.AffineTransform)"><code>getScaleY0(tr)</code></a>. The way to compute
  such a "global" scale is somewhat arbitrary and may change in any future version.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>tr</code> - the affine transform to inspect.</dd>
 <dt>Returns:</dt>
 <dd>a "global" scale factor.</dd>
 </dl>
 </section>
 </li>
 </ul>
 </section>
 </li>
 </ul>
 </section>
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