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<div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.referencing.operation.projection</a></div>
<h2 title="Class CylindricalEqualArea" class="title">Class CylindricalEqualArea</h2>
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<li><a href="../transform/AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></li>
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<li>CylindricalEqualArea</li>
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<pre>public class <span class="typeNameLabel">CylindricalEqualArea</span>
extends <a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">NormalizedProjection</a></pre>
<div class="block"><cite>Cylindrical Equal Area</cite> projection (EPSG codes 9834, 9835).
This is the simplest equal-area projection.
This projection has various names depending on its standard parallel:
<table class="sis">
<caption>Non-exhaustive list of variants</caption>
<tr><th>Name</th> <th>Standard parallel</th></tr>
<tr><td>Lambert cylindrical equal-area</td> <td></td></tr>
<tr><td>Behrmann cylindrical equal-area</td> <td>30°</td></tr>
<tr><td>Gall orthographic</td> <td>45°</td></tr>
<tr><td>Balthasart</td> <td>50°</td></tr>
</table>
<div class="section">Description</div>
The parallels and the meridians are straight lines and cross at right angles.
The scale is true along standard parallels, but distortion increase greatly at other locations.
Distortions are so great that there is little use of this projection for world mapping purposes.
However this projection may be useful for computing areas.</div>
<dl>
<dt><span class="simpleTagLabel">Since:</span></dt>
<dd>0.8</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../../../../serialized-form.html#org.apache.sis.referencing.operation.projection.CylindricalEqualArea">Serialized Form</a></dd>
<p><font size="-1">Defined in the <code>sis-referencing</code> module</font></p>
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<code><a href="NormalizedProjection.ParameterRole.html" title="enum in org.apache.sis.referencing.operation.projection">Normalized­Projection​.Parameter­Role</a></code></li>
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<code><a href="NormalizedProjection.html#eccentricity">eccentricity</a>, <a href="NormalizedProjection.html#eccentricitySquared">eccentricity­Squared</a></code></li>
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<th class="colConstructorName" scope="row"><code><span class="memberNameLink"><a href="#%3Cinit%3E(org.opengis.referencing.operation.OperationMethod,org.apache.sis.parameter.Parameters)">CylindricalEqualArea</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/OperationMethod.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">OperationMethod</a>&nbsp;method,
<a href="../../../parameter/Parameters.html" title="class in org.apache.sis.parameter">Parameters</a>&nbsp;parameters)</code></th>
<td class="colLast">
<div class="block">Creates a Cylindrical Equal Area projection from the given parameters.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><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></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#createMapProjection(org.opengis.referencing.operation.MathTransformFactory)">createMapProjection</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransformFactory.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">MathTransformFactory</a>&nbsp;factory)</code></th>
<td class="colLast">
<div class="block">Returns the sequence of <cite>normalization</cite><code>this</code><cite>denormalization</cite> transforms
as a whole.</div>
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<tr id="i1" class="rowColor">
<td class="colFirst"><code>protected void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#inverseTransform(double%5B%5D,int,double%5B%5D,int)">inverseTransform</a></span>&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff)</code></th>
<td class="colLast">
<div class="block">Converts the specified (<var>x</var>,<var>y</var>) coordinates
and stores the result in <code>dst­Pts</code> (angles in radians).</div>
</td>
</tr>
<tr id="i2" class="altColor">
<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="#transform(double%5B%5D,int,double%5B%5D,int,boolean)">transform</a></span>&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff,
boolean&nbsp;derivate)</code></th>
<td class="colLast">
<div class="block">Converts the specified (λ,φ) coordinate (units in radians) and stores the result in <code>dst­Pts</code>
(linear distance on a unit sphere).</div>
</td>
</tr>
<tr id="i3" class="rowColor">
<td class="colFirst"><code>void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#transform(double%5B%5D,int,double%5B%5D,int,int)">transform</a></span>&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff,
int&nbsp;numPts)</code></th>
<td class="colLast">
<div class="block">Converts a list of coordinate points.</div>
</td>
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<h3>Methods inherited from class&nbsp;<a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">NormalizedProjection</a></h3>
<code><a href="NormalizedProjection.html#computeHashCode()">compute­Hash­Code</a>, <a href="NormalizedProjection.html#equals(java.lang.Object,org.apache.sis.util.ComparisonMode)">equals</a>, <a href="NormalizedProjection.html#getContextualParameters()">get­Contextual­Parameters</a>, <a href="NormalizedProjection.html#getParameterDescriptors()">get­Parameter­Descriptors</a>, <a href="NormalizedProjection.html#getParameterValues()">get­Parameter­Values</a>, <a href="NormalizedProjection.html#inverse()">inverse</a>, <a href="NormalizedProjection.html#tryConcatenate(boolean,org.opengis.referencing.operation.MathTransform,org.opengis.referencing.operation.MathTransformFactory)">try­Concatenate</a></code></li>
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<code><a href="../transform/AbstractMathTransform2D.html#createTransformedShape(java.awt.Shape)">create­Transformed­Shape</a>, <a href="../transform/AbstractMathTransform2D.html#derivative(java.awt.geom.Point2D)">derivative</a>, <a href="../transform/AbstractMathTransform2D.html#getSourceDimensions()">get­Source­Dimensions</a>, <a href="../transform/AbstractMathTransform2D.html#getTargetDimensions()">get­Target­Dimensions</a>, <a href="../transform/AbstractMathTransform2D.html#transform(java.awt.geom.Point2D,java.awt.geom.Point2D)">transform</a></code></li>
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<code><a href="../transform/AbstractMathTransform.html#derivative(org.opengis.geometry.DirectPosition)">derivative</a>, <a href="../transform/AbstractMathTransform.html#equals(java.lang.Object)">equals</a>, <a href="../transform/AbstractMathTransform.html#formatTo(org.apache.sis.io.wkt.Formatter)">format­To</a>, <a href="../transform/AbstractMathTransform.html#hashCode()">hash­Code</a>, <a href="../transform/AbstractMathTransform.html#isIdentity()">is­Identity</a>, <a href="../transform/AbstractMathTransform.html#transform(double%5B%5D,int,float%5B%5D,int,int)">transform</a>, <a href="../transform/AbstractMathTransform.html#transform(float%5B%5D,int,double%5B%5D,int,int)">transform</a>, <a href="../transform/AbstractMathTransform.html#transform(float%5B%5D,int,float%5B%5D,int,int)">transform</a>, <a href="../transform/AbstractMathTransform.html#transform(org.opengis.geometry.DirectPosition,org.opengis.geometry.DirectPosition)">transform</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#derivative(org.opengis.geometry.DirectPosition)" title="class or interface in org.opengis.referencing.operation" class="externalLink">derivative</a>, <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>, <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>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(double%5B%5D,int,float%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(float%5B%5D,int,double%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(float%5B%5D,int,float%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransform.html?is-external=true#transform(org.opengis.geometry.DirectPosition,org.opengis.geometry.DirectPosition)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</a></code></li>
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<h4>CylindricalEqualArea</h4>
<pre>public&nbsp;CylindricalEqualArea&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/OperationMethod.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">OperationMethod</a>&nbsp;method,
<a href="../../../parameter/Parameters.html" title="class in org.apache.sis.parameter">Parameters</a>&nbsp;parameters)</pre>
<div class="block">Creates a Cylindrical Equal Area projection from the given parameters.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>method</code> - Description of the projection parameters.</dd>
<dd><code>parameters</code> - The parameter values of the projection to create.</dd>
</dl>
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<h4>createMapProjection</h4>
<pre class="methodSignature">public&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;createMapProjection&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/operation/MathTransformFactory.html?is-external=true" title="class or interface in org.opengis.referencing.operation" class="externalLink">MathTransformFactory</a>&nbsp;factory)
throws <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/util/FactoryException.html?is-external=true" title="class or interface in org.opengis.util" class="externalLink">FactoryException</a></pre>
<div class="block">Returns the sequence of <cite>normalization</cite><code>this</code><cite>denormalization</cite> transforms
as a whole. The transform returned by this method expects (<var>longitude</var>, <var>latitude</var>)
coordinates in <em>degrees</em> and returns (<var>x</var>,<var>y</var>) coordinates in <em>metres</em>.
<p>The non-linear part of the returned transform will be <code>this</code> transform, except if the ellipsoid
is spherical. In the later case, <code>this</code> transform will be replaced by a simplified implementation.</p></div>
<dl>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="NormalizedProjection.html#createMapProjection(org.opengis.referencing.operation.MathTransformFactory)">create­Map­Projection</a></code>&nbsp;in class&nbsp;<code><a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">Normalized­Projection</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>factory</code> - the factory to use for creating the transform.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the map projection from (λ,φ) to (<var>x</var>,<var>y</var>) coordinates.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="http://www.geoapi.org/3.0/javadoc/org/opengis/util/FactoryException.html?is-external=true" title="class or interface in org.opengis.util" class="externalLink">Factory­Exception</a></code> - if an error occurred while creating a transform.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../transform/ContextualParameters.html#completeTransform(org.opengis.referencing.operation.MathTransformFactory,org.opengis.referencing.operation.MathTransform)"><code>Contextual­Parameters​.complete­Transform(Math­Transform­Factory, Math­Transform)</code></a></dd>
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<h4>transform</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;transform&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff,
boolean&nbsp;derivate)
throws <a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">ProjectionException</a></pre>
<div class="block">Converts the specified (λ,φ) coordinate (units in radians) and stores the result in <code>dst­Pts</code>
(linear distance on a unit sphere). In addition, opportunistically computes the projection derivative
if <code>derivate</code> is <code>true</code>.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="NormalizedProjection.html#transform(double%5B%5D,int,double%5B%5D,int,boolean)">transform</a></code>&nbsp;in class&nbsp;<code><a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">Normalized­Projection</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>src­Pts</code> - the array containing the source point coordinate, as (<var>longitude</var>, <var>latitude</var>)
angles in <strong>radians</strong>.</dd>
<dd><code>src­Off</code> - the offset of the single coordinate to be converted in the source array.</dd>
<dd><code>dst­Pts</code> - the array into which the converted coordinate is returned (may be the same than <code>src­Pts</code>).
Coordinates will be expressed in a dimensionless unit, as a linear distance on a unit sphere or ellipse.</dd>
<dd><code>dst­Off</code> - the offset of the location of the converted coordinate that is stored in the destination array.</dd>
<dd><code>derivate</code> - <code>true</code> for computing the derivative, or <code>false</code> if not needed.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the matrix of the projection derivative at the given source position,
or <code>null</code> if the <code>derivate</code> argument is <code>false</code>.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">Projection­Exception</a></code> - if the coordinate can not be converted.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../transform/AbstractMathTransform.html#derivative(org.opengis.geometry.DirectPosition)"><code>Abstract­Math­Transform​.derivative(Direct­Position)</code></a>,
<a href="../transform/AbstractMathTransform.html#transform(org.opengis.geometry.DirectPosition,org.opengis.geometry.DirectPosition)"><code>Abstract­Math­Transform​.transform(Direct­Position, Direct­Position)</code></a>,
<a href="../transform/MathTransforms.html#derivativeAndTransform(org.opengis.referencing.operation.MathTransform,double%5B%5D,int,double%5B%5D,int)"><code>Math­Transforms​.derivative­And­Transform(Math­Transform, double[], int, double[], int)</code></a></dd>
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<h4>transform</h4>
<pre class="methodSignature">public&nbsp;void&nbsp;transform&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff,
int&nbsp;numPts)
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">Converts a list of coordinate points. This method performs the same calculation than above
<a href="#transform(double%5B%5D,int,double%5B%5D,int,boolean)"><code>transform(double[], int, double[], int, boolean)</code></a> method, but is overridden for efficiency.</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#transform(double%5B%5D,int,double%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="externalLink">transform</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="../transform/AbstractMathTransform.html#transform(double%5B%5D,int,double%5B%5D,int,int)">transform</a></code>&nbsp;in class&nbsp;<code><a href="../transform/AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">Abstract­Math­Transform</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>src­Pts</code> - the array containing the source point coordinates.</dd>
<dd><code>src­Off</code> - the offset to the first point to be transformed in the source array.</dd>
<dd><code>dst­Pts</code> - the array into which the transformed point coordinates are returned.
May be the same than <code>src­Pts</code>.</dd>
<dd><code>dst­Off</code> - the offset to the location of the first transformed point that is stored in the destination array.</dd>
<dd><code>num­Pts</code> - the number of point objects to be transformed.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<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 a point can not be converted.</dd>
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<h4>inverseTransform</h4>
<pre class="methodSignature">protected&nbsp;void&nbsp;inverseTransform&#8203;(double[]&nbsp;srcPts,
int&nbsp;srcOff,
double[]&nbsp;dstPts,
int&nbsp;dstOff)
throws <a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">ProjectionException</a></pre>
<div class="block">Converts the specified (<var>x</var>,<var>y</var>) coordinates
and stores the result in <code>dst­Pts</code> (angles in radians).</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="NormalizedProjection.html#inverseTransform(double%5B%5D,int,double%5B%5D,int)">inverse­Transform</a></code>&nbsp;in class&nbsp;<code><a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">Normalized­Projection</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>src­Pts</code> - the array containing the source point coordinate, as linear distance on a unit sphere or ellipse.</dd>
<dd><code>src­Off</code> - the offset of the point to be converted in the source array.</dd>
<dd><code>dst­Pts</code> - the array into which the converted point coordinate is returned (may be the same than <code>src­Pts</code>).
Coordinates will be (<var>longitude</var>, <var>latitude</var>) angles in <strong>radians</strong>.</dd>
<dd><code>dst­Off</code> - the offset of the location of the converted point that is stored in the destination array.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code><a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">Projection­Exception</a></code> - if the point can not be converted.</dd>
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