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<div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.referencing.operation.transform</a></div>
<h2 title="Class AbstractMathTransform.Inverse" class="title">Class AbstractMathTransform.Inverse</h2>
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<li><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></li>
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<li>Inverse</li>
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<dt>All Implemented Interfaces:</dt>
<dd><code><a href="../../../parameter/Parameterized.html" title="interface in org.apache.sis.parameter">Parameterized</a></code>, <code><a href="../../../util/LenientComparable.html" title="interface in org.apache.sis.util">Lenient­Comparable</a></code>, <code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Math­Transform</a></code></dd>
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<dl>
<dt>Direct Known Subclasses:</dt>
<dd><code><a href="AbstractMathTransform1D.Inverse.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform1D​.Inverse</a></code>, <code><a href="AbstractMathTransform2D.Inverse.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform2D​.Inverse</a></code></dd>
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<dl>
<dt>Enclosing class:</dt>
<dd><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></dd>
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<pre>protected abstract static class <span class="typeNameLabel">AbstractMathTransform.Inverse</span>
extends <a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></pre>
<div class="block">Base class for implementations of inverse math transforms.
Subclasses need to implement the <a href="#inverse()"><code>inverse()</code></a> method.
<div class="section">Serialization</div>
This object may or may not be serializable, at implementation choices.
Most Apache SIS implementations are serializable, but the serialized objects are not guaranteed to be compatible
with future SIS versions. Serialization should be used only for short term storage or RMI between applications
running the same SIS version.</div>
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<dt><span class="simpleTagLabel">Since:</span></dt>
<dd>0.5</dd>
<p><font size="-1">Defined in the <code>sis-referencing</code> module</font></p>
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<h3>Nested classes/interfaces inherited from class&nbsp;<a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></h3>
<code><a href="AbstractMathTransform.Inverse.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform​.Inverse</a></code></li>
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<th class="colFirst" scope="col">Modifier</th>
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<td class="colFirst"><code>protected </code></td>
<th class="colConstructorName" scope="row"><code><span class="memberNameLink"><a href="#%3Cinit%3E()">Inverse</a></span>()</code></th>
<td class="colLast">
<div class="block">Constructs an inverse math transform.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colSecond" scope="col">Method</th>
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<td class="colFirst"><code>protected int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#computeHashCode()">computeHashCode</a></span>()</code></th>
<td class="colLast">
<div class="block">Computes a hash value for this transform.</div>
</td>
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<tr id="i1" class="rowColor">
<td class="colFirst"><code><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></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#derivative(org.opengis.geometry.DirectPosition)">derivative</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/geometry/DirectPosition.html?is-external=true" title="class or interface in org.opengis.geometry" class="externalLink">DirectPosition</a>&nbsp;point)</code></th>
<td class="colLast">
<div class="block">Gets the derivative of this transform at a point.</div>
</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code>boolean</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#equals(java.lang.Object,org.apache.sis.util.ComparisonMode)">equals</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang" class="externalLink">Object</a>&nbsp;object,
<a href="../../../util/ComparisonMode.html" title="enum in org.apache.sis.util">ComparisonMode</a>&nbsp;mode)</code></th>
<td class="colLast">
<div class="block">Compares the specified object with this inverse math transform for equality.</div>
</td>
</tr>
<tr id="i3" class="rowColor">
<td class="colFirst"><code>protected <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang" class="externalLink">String</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#formatTo(org.apache.sis.io.wkt.Formatter)">formatTo</a></span>&#8203;(<a href="../../../io/wkt/Formatter.html" title="class in org.apache.sis.io.wkt">Formatter</a>&nbsp;formatter)</code></th>
<td class="colLast">
<div class="block">Formats the inner part of a <cite>Well Known Text</cite> version 1 (WKT 1) element.</div>
</td>
</tr>
<tr id="i4" class="altColor">
<td class="colFirst"><code>int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getSourceDimensions()">getSourceDimensions</a></span>()</code></th>
<td class="colLast">
<div class="block">Gets the dimension of input points.</div>
</td>
</tr>
<tr id="i5" class="rowColor">
<td class="colFirst"><code>int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getTargetDimensions()">getTargetDimensions</a></span>()</code></th>
<td class="colLast">
<div class="block">Gets the dimension of output points.</div>
</td>
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<tr id="i6" class="altColor">
<td class="colFirst"><code>abstract <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">MathTransform</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#inverse()">inverse</a></span>()</code></th>
<td class="colLast">
<div class="block">Returns the inverse of this math transform.</div>
</td>
</tr>
<tr id="i7" class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#isIdentity()">isIdentity</a></span>()</code></th>
<td class="colLast">
<div class="block">Tests whether this transform does not move any points.</div>
</td>
</tr>
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<h3>Methods inherited from class&nbsp;<a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></h3>
<code><a href="AbstractMathTransform.html#equals(java.lang.Object)">equals</a>, <a href="AbstractMathTransform.html#getContextualParameters()">get­Contextual­Parameters</a>, <a href="AbstractMathTransform.html#getParameterDescriptors()">get­Parameter­Descriptors</a>, <a href="AbstractMathTransform.html#getParameterValues()">get­Parameter­Values</a>, <a href="AbstractMathTransform.html#hashCode()">hash­Code</a>, <a href="AbstractMathTransform.html#transform(double%5B%5D,int,double%5B%5D,int,boolean)">transform</a>, <a href="AbstractMathTransform.html#transform(double%5B%5D,int,double%5B%5D,int,int)">transform</a>, <a href="AbstractMathTransform.html#transform(double%5B%5D,int,float%5B%5D,int,int)">transform</a>, <a href="AbstractMathTransform.html#transform(float%5B%5D,int,double%5B%5D,int,int)">transform</a>, <a href="AbstractMathTransform.html#transform(float%5B%5D,int,float%5B%5D,int,int)">transform</a>, <a href="AbstractMathTransform.html#transform(org.opengis.geometry.DirectPosition,org.opengis.geometry.DirectPosition)">transform</a>, <a href="AbstractMathTransform.html#tryConcatenate(boolean,org.opengis.referencing.operation.MathTransform,org.opengis.referencing.operation.MathTransformFactory)">try­Concatenate</a></code></li>
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<code><a href="../../../io/wkt/FormattableObject.html#print()">print</a>, <a href="../../../io/wkt/FormattableObject.html#toString()">to­String</a>, <a href="../../../io/wkt/FormattableObject.html#toString(org.apache.sis.io.wkt.Convention)">to­String</a>, <a href="../../../io/wkt/FormattableObject.html#toWKT()">to­WKT</a></code></li>
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<h3>Methods inherited from interface&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">MathTransform</a></h3>
<code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#toWKT()" title="class or interface in org.opengis.referencing.operation" class="externalLink">to­WKT</a></code></li>
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<h4>Inverse</h4>
<pre>protected&nbsp;Inverse()</pre>
<div class="block">Constructs an inverse math transform.</div>
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<h4>getSourceDimensions</h4>
<pre class="methodSignature">public&nbsp;int&nbsp;getSourceDimensions()</pre>
<div class="block">Gets the dimension of input points.
The default implementation returns the dimension of output points
of the <a href="#inverse()">inverse</a> math transform.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#getSourceDimensions()" title="class or interface in org.opengis.referencing.operation" class="externalLink">get­Source­Dimensions</a></code>&nbsp;in interface&nbsp;<code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Math­Transform</a></code></dd>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="AbstractMathTransform.html#getSourceDimensions()">get­Source­Dimensions</a></code>&nbsp;in class&nbsp;<code><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the dimension of input points.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../DefaultOperationMethod.html#getSourceDimensions()"><code>Default­Operation­Method​.get­Source­Dimensions()</code></a></dd>
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<h4>getTargetDimensions</h4>
<pre class="methodSignature">public&nbsp;int&nbsp;getTargetDimensions()</pre>
<div class="block">Gets the dimension of output points.
The default implementation returns the dimension of input points
of the <a href="#inverse()">inverse</a> math transform.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#getTargetDimensions()" title="class or interface in org.opengis.referencing.operation" class="externalLink">get­Target­Dimensions</a></code>&nbsp;in interface&nbsp;<code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Math­Transform</a></code></dd>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="AbstractMathTransform.html#getTargetDimensions()">get­Target­Dimensions</a></code>&nbsp;in class&nbsp;<code><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the dimension of output points.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../DefaultOperationMethod.html#getTargetDimensions()"><code>Default­Operation­Method​.get­Target­Dimensions()</code></a></dd>
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<h4>derivative</h4>
<pre class="methodSignature">public&nbsp;<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;derivative&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/geometry/DirectPosition.html?is-external=true" title="class or interface in org.opengis.geometry" class="externalLink">DirectPosition</a>&nbsp;point)
throws <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/TransformException.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">TransformException</a></pre>
<div class="block">Gets the derivative of this transform at a point.
The default implementation computes the inverse of the matrix
returned by the <a href="#inverse()">inverse</a> math transform.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#derivative(org.opengis.geometry.DirectPosition)" title="class or interface in org.opengis.referencing.operation" class="externalLink">derivative</a></code>&nbsp;in interface&nbsp;<code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Math­Transform</a></code></dd>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="AbstractMathTransform.html#derivative(org.opengis.geometry.DirectPosition)">derivative</a></code>&nbsp;in class&nbsp;<code><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>point</code> - the coordinate point where to evaluate the derivative.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the derivative at the specified point (never <code>null</code>).</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/NullPointerException.html?is-external=true" title="class or interface in java.lang" class="externalLink">Null­Pointer­Exception</a></code> - if the derivative depends on coordinate and <code>point</code> is <code>null</code>.</dd>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/geometry/MismatchedDimensionException.html?is-external=true" title="class or interface in org.opengis.geometry" class="externalLink">Mismatched­Dimension­Exception</a></code> - if <code>point</code> does not have the expected dimension.</dd>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/TransformException.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Transform­Exception</a></code> - if the derivative can not be evaluated at the specified point.</dd>
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<h4>inverse</h4>
<pre class="methodSignature">public abstract&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">MathTransform</a>&nbsp;inverse()</pre>
<div class="block">Returns the inverse of this math transform.
The returned transform should be the enclosing math transform.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#inverse()" title="class or interface in org.opengis.referencing.operation" class="externalLink">inverse</a></code>&nbsp;in interface&nbsp;<code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Math­Transform</a></code></dd>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="AbstractMathTransform.html#inverse()">inverse</a></code>&nbsp;in class&nbsp;<code><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the inverse of this transform.</dd>
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<h4>isIdentity</h4>
<pre class="methodSignature">public&nbsp;boolean&nbsp;isIdentity()</pre>
<div class="block">Tests whether this transform does not move any points.
The default implementation delegates this tests to the <a href="#inverse()">inverse</a> math transform.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#isIdentity()" title="class or interface in org.opengis.referencing.operation" class="externalLink">is­Identity</a></code>&nbsp;in interface&nbsp;<code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">Math­Transform</a></code></dd>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="AbstractMathTransform.html#isIdentity()">is­Identity</a></code>&nbsp;in class&nbsp;<code><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="returnLabel">Returns:</span></dt>
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<pre class="methodSignature">protected&nbsp;int&nbsp;computeHashCode()</pre>
<div class="block">Computes a hash value for this transform. This method is invoked by <a href="AbstractMathTransform.html#hashCode()"><code>Abstract­Math­Transform​.hash­Code()</code></a> when first needed.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="AbstractMathTransform.html#computeHashCode()">compute­Hash­Code</a></code>&nbsp;in class&nbsp;<code><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the hash code value. This value may change between different execution of the Apache SIS library.</dd>
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<h4>equals</h4>
<pre class="methodSignature">public&nbsp;boolean&nbsp;equals&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang" class="externalLink">Object</a>&nbsp;object,
<a href="../../../util/ComparisonMode.html" title="enum in org.apache.sis.util">ComparisonMode</a>&nbsp;mode)</pre>
<div class="block">Compares the specified object with this inverse math transform for equality.
The default implementation tests if <code>object</code> in an instance of the same class than <code>this</code>,
and if so compares their <a href="#inverse()">inverse</a> <code>Math­Transform</code>.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="../../../util/LenientComparable.html#equals(java.lang.Object,org.apache.sis.util.ComparisonMode)">equals</a></code>&nbsp;in interface&nbsp;<code><a href="../../../util/LenientComparable.html" title="interface in org.apache.sis.util">Lenient­Comparable</a></code></dd>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="AbstractMathTransform.html#equals(java.lang.Object,org.apache.sis.util.ComparisonMode)">equals</a></code>&nbsp;in class&nbsp;<code><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>object</code> - the object to compare with this transform.</dd>
<dd><code>mode</code> - the strictness level of the comparison. Default to <a href="../../../util/ComparisonMode.html#STRICT"><code>STRICT</code></a>.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd><code>true</code> if the given object is considered equals to this math transform.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../util/Utilities.html#deepEquals(java.lang.Object,java.lang.Object,org.apache.sis.util.ComparisonMode)"><code>Utilities​.deep­Equals(Object, Object, Comparison­Mode)</code></a></dd>
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<h4>formatTo</h4>
<pre class="methodSignature">protected&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang" class="externalLink">String</a>&nbsp;formatTo&#8203;(<a href="../../../io/wkt/Formatter.html" title="class in org.apache.sis.io.wkt">Formatter</a>&nbsp;formatter)</pre>
<div class="block">Formats the inner part of a <cite>Well Known Text</cite> version 1 (WKT 1) element.
If this inverse math transform has any parameter values, then this method formats
the WKT as in the <a href="../../../io/wkt/FormattableObject.html#formatWKT(org.apache.sis.io.wkt.Convention,boolean,boolean)">super-class method</a>.
Otherwise this method formats the math transform as an <code>"Inverse_MT"</code> entity.
<div class="note"><b>Compatibility note:</b>
<code>Param_MT</code> and <code>Inverse_MT</code> are defined in the WKT 1 specification only.</div></div>
<dl>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="AbstractMathTransform.html#formatTo(org.apache.sis.io.wkt.Formatter)">format­To</a></code>&nbsp;in class&nbsp;<code><a href="AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>formatter</code> - the formatter to use.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the WKT element name, which is <code>"Param_MT"</code> or
<code>"Inverse_MT"</code> in the default implementation.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../io/wkt/FormattableObject.html#toWKT()"><code>Formattable­Object​.to­WKT()</code></a>,
<a href="../../../io/wkt/FormattableObject.html#toString()"><code>Formattable­Object​.to­String()</code></a></dd>
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