org/apache/sis/referencing/operation/projection/Mercator.html - sis-site - Git at Google

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 <div class="sub-title"><span class="package-label-in-type">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.referencing.operation.projection</a></div>
 <h1 title="Class Mercator" class="title">Class Mercator</h1>
 </div>
 <div class="inheritance" title="Inheritance Tree"><a href="https://docs.oracle.com/en/java/javase/16/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="../../../io/wkt/FormattableObject.html" title="class in org.apache.sis.io.wkt">FormattableObject</a>
 <div class="inheritance"><a href="../transform/AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a>
 <div class="inheritance"><a href="../transform/AbstractMathTransform2D.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform2D</a>
 <div class="inheritance"><a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">NormalizedProjection</a>
 <div class="inheritance">Mercator</div>
 </div>
 </div>
 </div>
 </div>
 </div>
 <section class="class-description" id="class-description">
 <dl class="notes">
 <dt>All Implemented Interfaces:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/16/docs/api/java.base/java/io/Serializable.html" title="class or interface in java.io" class="external-link">Serializable</a></code>, <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.geoapi/org/opengis/referencing/operation/MathTransform.html" title="class or interface in org.opengis.referencing.operation" class="external-link">MathTransform</a></code>, <code><a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform2D.html" title="class or interface in org.opengis.referencing.operation" class="external-link">MathTransform2D</a></code></dd>
 </dl>
 <hr>
 <div class="type-signature"><span class="modifiers">public class </span><span class="element-name type-name-label">Mercator</span>
 <span class="extends-implements">extends <a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">NormalizedProjection</a></span></div>
 <div class="block"><cite>Mercator Cylindrical</cite> projection (EPSG codes 9804, 9805, 1026, 1024, 1044, <span class="deprecated">9841</span>).
  See the following references for an overview:
  <ul>
    <li><a href="https://en.wikipedia.org/wiki/Mercator_projection">Mercator projection on Wikipedia</a></li>
    <li><a href="https://mathworld.wolfram.com/MercatorProjection.html">Mercator projection on MathWorld</a></li>
  </ul>

  <h2>Description</h2>
  The parallels and the meridians are straight lines and cross at right angles; this projection thus produces
  rectangular charts. The scale is true along the equator (by default) or along two parallels equidistant of the
  equator (if a scale factor other than 1 is used).

  <p>This projection is used to represent areas close to the equator. It is also often used for maritime navigation
  because all the straight lines on the chart are <cite>loxodrome</cite> lines, i.e. a ship following this line would
  keep a constant azimuth on its compass.</p>

  <p>This implementation handles both the 1 and 2 standard parallel cases.
  For <cite>Mercator (variant A)</cite> (EPSG code 9804), the line of contact is the equator.
  For <cite>Mercator (variant B)</cite> (EPSG code 9805) lines of contact are symmetrical about the equator.</p>

  <h2>Behavior at poles</h2>
  The projection of 90°N gives <a href="https://docs.oracle.com/en/java/javase/16/docs/api/java.base/java/lang/Double.html#POSITIVE_INFINITY" title="class or interface in java.lang" class="external-link">positive infinity</a>.
  The projection of 90°S gives <a href="https://docs.oracle.com/en/java/javase/16/docs/api/java.base/java/lang/Double.html#NEGATIVE_INFINITY" title="class or interface in java.lang" class="external-link">negative infinity</a>.
  Projection of a latitude outside the [-90 … 90]° range produces <a href="https://docs.oracle.com/en/java/javase/16/docs/api/java.base/java/lang/Double.html#NaN" title="class or interface in java.lang" class="external-link">NaN</a>.</div>
 <dl class="notes">
 <dt>Since:</dt>
 <dd>0.6</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="see-list">
 <li><a href="TransverseMercator.html" title="class in org.apache.sis.referencing.operation.projection"><code>TransverseMercator</code></a></li>
 <li><a href="ObliqueMercator.html" title="class in org.apache.sis.referencing.operation.projection"><code>ObliqueMercator</code></a></li>
 <li><a href="../../../../../../serialized-form.html#org.apache.sis.referencing.operation.projection.Mercator">Serialized Form</a></li>
 </ul>
 </dd>

 <p><font size="-1">Defined in the <code>sis-referencing</code> module</font></p>
 </dl>
 </section>
 <section class="summary">
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 <!-- ======== NESTED CLASS SUMMARY ======== -->
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 <h2>Nested Class Summary</h2>
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 <h2 id="nested-classes-inherited-from-class-org.apache.sis.referencing.operation.projection.NormalizedProjection">Nested classes/interfaces inherited from class&nbsp;<a href="NormalizedProjection.html" title="class in org.apache.sis.referencing.operation.projection">NormalizedProjection</a></h2>
 <code><a href="NormalizedProjection.ParameterRole.html" title="enum class in org.apache.sis.referencing.operation.projection">NormalizedProjection.ParameterRole</a></code></div>
 </section>
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 <!-- =========== FIELD SUMMARY =========== -->
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 <section class="field-summary" id="field-summary">
 <h2>Field Summary</h2>
 <div class="inherited-list">
 <h3 id="fields-inherited-from-class-NormalizedProjection">Fields 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#eccentricity">eccentricity</a>, <a href="NormalizedProjection.html#eccentricitySquared">eccentricitySquared</a></code></div>
 <div class="inherited-list">
 <h3 id="fields-inherited-from-class-AbstractMathTransform2D">Fields inherited from class&nbsp;<a href="../transform/AbstractMathTransform2D.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform2D</a></h3>
 <code><a href="../transform/AbstractMathTransform2D.html#DIMENSION">DIMENSION</a></code></div>
 </section>
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 <!-- ======== CONSTRUCTOR SUMMARY ======== -->
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 <h2>Constructor Summary</h2>
 <div class="caption"><span>Constructors</span></div>
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 <div class="table-header col-first">Constructor</div>
 <div class="table-header col-last">Description</div>
 <div class="col-constructor-name even-row-color"><code><a href="#%3Cinit%3E(org.opengis.referencing.operation.OperationMethod,org.apache.sis.parameter.Parameters)" class="member-name-link">Mercator</a><wbr>(<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/OperationMethod.html" title="class or interface in org.opengis.referencing.operation" class="external-link">OperationMethod</a>&nbsp;method,
  <a href="../../../parameter/Parameters.html" title="class in org.apache.sis.parameter">Parameters</a>&nbsp;parameters)</code></div>
 <div class="col-last even-row-color">
 <div class="block">Creates a Mercator projection from the given parameters.</div>
 </div>
 </div>
 </section>
 </li>
 <!-- ========== METHOD SUMMARY =========== -->
 <li>
 <section class="method-summary" id="method-summary">
 <h2>Method Summary</h2>
 <div id="method-summary-table">
 <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-tab2" role="tab" aria-selected="false" aria-controls="method-summary-table.tabpanel" tabindex="-1" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table-tab2', 3)" class="table-tab">Instance 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-tab2 method-summary-table-tab4"><code><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></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#createMapProjection(org.opengis.referencing.operation.MathTransformFactory)" class="member-name-link">createMapProjection</a><wbr>(<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransformFactory.html" title="class or interface in org.opengis.referencing.operation" class="external-link">MathTransformFactory</a>&nbsp;factory)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns the sequence of <cite>normalization</cite> → <code>this</code> → <cite>denormalization</cite> transforms
  as a whole.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="https://docs.oracle.com/en/java/javase/16/docs/api/java.base/java/util/Optional.html" title="class or interface in java.util" class="external-link">Optional</a>&lt;<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/geometry/Envelope.html" title="class or interface in org.opengis.geometry" class="external-link">Envelope</a>&gt;</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getDomain(org.apache.sis.referencing.operation.transform.DomainDefinition)" class="member-name-link">getDomain</a><wbr>(<a href="../transform/DomainDefinition.html" title="class in org.apache.sis.referencing.operation.transform">DomainDefinition</a>&nbsp;criteria)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns the domain of input coordinates.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>protected void</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#inverseTransform(double%5B%5D,int,double%5B%5D,int)" class="member-name-link">inverseTransform</a><wbr>(double[]&nbsp;srcPts,
  int&nbsp;srcOff,
  double[]&nbsp;dstPts,
  int&nbsp;dstOff)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <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>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><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></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#transform(double%5B%5D,int,double%5B%5D,int,boolean)" class="member-name-link">transform</a><wbr>(double[]&nbsp;srcPts,
  int&nbsp;srcOff,
  double[]&nbsp;dstPts,
  int&nbsp;dstOff,
  boolean&nbsp;derivate)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Projects the specified coordinates (implementation-specific units) and stores the result in <code>dstPts</code>.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>void</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#transform(double%5B%5D,int,double%5B%5D,int,int)" class="member-name-link">transform</a><wbr>(double[]&nbsp;srcPts,
  int&nbsp;srcOff,
  double[]&nbsp;dstPts,
  int&nbsp;dstOff,
  int&nbsp;numPts)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Converts a list of coordinate tuples.</div>
 </div>
 </div>
 </div>
 </div>
 <div class="inherited-list">
 <h3 id="methods-inherited-from-class-NormalizedProjection">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></div>
 <div class="inherited-list">
 <h3 id="methods-inherited-from-class-AbstractMathTransform2D">Methods inherited from class&nbsp;<a href="../transform/AbstractMathTransform2D.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform2D</a></h3>
 <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></div>
 <div class="inherited-list">
 <h3 id="methods-inherited-from-class-AbstractMathTransform">Methods inherited from class&nbsp;<a href="../transform/AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">AbstractMathTransform</a></h3>
 <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></div>
 <div class="inherited-list">
 <h3 id="methods-inherited-from-class-FormattableObject">Methods inherited from class&nbsp;<a href="../../../io/wkt/FormattableObject.html" title="class in org.apache.sis.io.wkt">FormattableObject</a></h3>
 <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></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/16/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/16/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/16/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/16/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/16/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/16/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/16/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/16/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/16/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>
 <div class="inherited-list">
 <h3 id="methods-inherited-from-class-MathTransform">Methods inherited from interface&nbsp;<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></h3>
 <code><a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html#derivative(org.opengis.geometry.DirectPosition)" title="class or interface in org.opengis.referencing.operation" class="external-link">derivative</a>, <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html#isIdentity()" title="class or interface in org.opengis.referencing.operation" class="external-link">isIdentity</a>, <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html#toWKT()" title="class or interface in org.opengis.referencing.operation" class="external-link">toWKT</a>, <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html#transform(double%5B%5D,int,float%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="external-link">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html#transform(float%5B%5D,int,double%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="external-link">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html#transform(float%5B%5D,int,float%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="external-link">transform</a>, <a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html#transform(org.opengis.geometry.DirectPosition,org.opengis.geometry.DirectPosition)" title="class or interface in org.opengis.referencing.operation" class="external-link">transform</a></code></div>
 </section>
 </li>
 </ul>
 </section>
 <section class="details">
 <ul class="details-list">
 <!-- ========= CONSTRUCTOR DETAIL ======== -->
 <li>
 <section class="constructor-details" id="constructor-detail">
 <h2>Constructor Details</h2>
 <ul class="member-list">
 <li>
 <section class="detail" id="&lt;init&gt;(org.opengis.referencing.operation.OperationMethod,org.apache.sis.parameter.Parameters)">
 <h3>Mercator</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="element-name">Mercator</span><wbr><span class="parameters">(<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/OperationMethod.html" title="class or interface in org.opengis.referencing.operation" class="external-link">OperationMethod</a>&nbsp;method,
  <a href="../../../parameter/Parameters.html" title="class in org.apache.sis.parameter">Parameters</a>&nbsp;parameters)</span></div>
 <div class="block">Creates a Mercator projection from the given parameters.
  The <code>method</code> argument can be the description of one of the following:

  <ul>
    <li><cite>"Mercator (variant A)"</cite>, also known as <cite>"Mercator (1SP)"</cite>.</li>
    <li><cite>"Mercator (variant B)"</cite>, also known as <cite>"Mercator (2SP)"</cite>.</li>
    <li><cite>"Mercator (variant C)"</cite>.</li>
    <li><cite>"Mercator (Spherical)"</cite>.</li>
    <li><cite>"Mercator Auxiliary Sphere"</cite>.</li>
    <li><cite>"Popular Visualisation Pseudo Mercator"</cite>.</li>
    <li><cite>"Miller Cylindrical"</cite>.</li>
  </ul></div>
 <dl class="notes">
 <dt>Parameters:</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>
 </section>
 </li>
 </ul>
 </section>
 </li>
 <!-- ============ METHOD DETAIL ========== -->
 <li>
 <section class="method-details" id="method-detail">
 <h2>Method Details</h2>
 <ul class="member-list">
 <li>
 <section class="detail" id="createMapProjection(org.opengis.referencing.operation.MathTransformFactory)">
 <h3>createMapProjection</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><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></span>&nbsp;<span class="element-name">createMapProjection</span><wbr><span class="parameters">(<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransformFactory.html" title="class or interface in org.opengis.referencing.operation" class="external-link">MathTransformFactory</a>&nbsp;factory)</span>
                                   throws <span class="exceptions"><a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/util/FactoryException.html" title="class or interface in org.opengis.util" class="external-link">FactoryException</a></span></div>
 <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 latter case, <code>this</code> transform may be replaced by a simplified implementation.</p></div>
 <dl class="notes">
 <dt>Overrides:</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>Parameters:</dt>
 <dd><code>factory</code> - the factory to use for creating the transform.</dd>
 <dt>Returns:</dt>
 <dd>the map projection from (λ,φ) to (<var>x</var>,<var>y</var>) coordinates.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/util/FactoryException.html" title="class or interface in org.opengis.util" class="external-link">FactoryException</a></code> - if an error occurred while creating a transform.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="see-list-long">
 <li><a href="../transform/ContextualParameters.html#completeTransform(org.opengis.referencing.operation.MathTransformFactory,org.opengis.referencing.operation.MathTransform)"><code>ContextualParameters.completeTransform(MathTransformFactory, MathTransform)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="getDomain(org.apache.sis.referencing.operation.transform.DomainDefinition)">
 <h3>getDomain</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/16/docs/api/java.base/java/util/Optional.html" title="class or interface in java.util" class="external-link">Optional</a>&lt;<a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/geometry/Envelope.html" title="class or interface in org.opengis.geometry" class="external-link">Envelope</a>&gt;</span>&nbsp;<span class="element-name">getDomain</span><wbr><span class="parameters">(<a href="../transform/DomainDefinition.html" title="class in org.apache.sis.referencing.operation.transform">DomainDefinition</a>&nbsp;criteria)</span></div>
 <div class="block">Returns the domain of input coordinates. For a Mercator projection other than Miller variant,
  the limit is arbitrarily set to 84° of latitude North and South. This is consistent with the
  "World Mercator" domain of validity defined by EPSG:3395, which is 80°S to 84°N.

  <p>The range of longitude values is set to an arbitrary range larger than −180° … +180°,
  because the Mercator projection is mathematically capable to handle coordinates beyond that range
  even if those coordinates have no real world meaning. This expansion can facilitate the projection
  of envelopes, geometries or rasters.</p></div>
 <dl class="notes">
 <dt>Overrides:</dt>
 <dd><code><a href="../transform/AbstractMathTransform.html#getDomain(org.apache.sis.referencing.operation.transform.DomainDefinition)">getDomain</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>Parameters:</dt>
 <dd><code>criteria</code> - controls the definition of transform domain.</dd>
 <dt>Returns:</dt>
 <dd>estimation of a domain where this transform is considered numerically applicable.</dd>
 <dt>Since:</dt>
 <dd>1.3</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="see-list-long">
 <li><a href="../transform/MathTransforms.html#getDomain(org.opengis.referencing.operation.MathTransform)"><code>MathTransforms.getDomain(MathTransform)</code></a></li>
 <li><a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/CoordinateOperation.html#getDomainOfValidity()" title="class or interface in org.opengis.referencing.operation" class="external-link"><code>CoordinateOperation.getDomainOfValidity()</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="transform(double[],int,double[],int,boolean)">
 <h3>transform</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><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></span>&nbsp;<span class="element-name">transform</span><wbr><span class="parameters">(double[]&nbsp;srcPts,
  int&nbsp;srcOff,
  double[]&nbsp;dstPts,
  int&nbsp;dstOff,
  boolean&nbsp;derivate)</span>
                  throws <span class="exceptions"><a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">ProjectionException</a></span></div>
 <div class="block">Projects the specified coordinates (implementation-specific units) and stores the result in <code>dstPts</code>.
  In addition, opportunistically computes the projection derivative if <code>derivate</code> is <code>true</code>.
  The results must be multiplied by the denormalization matrix before to get linear distances.</div>
 <dl class="notes">
 <dt>Specified by:</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>Parameters:</dt>
 <dd><code>srcPts</code> - the array containing the source point coordinates, as (<var>longitude</var>, <var>latitude</var>)
                    angles in <strong>radians</strong>.</dd>
 <dd><code>srcOff</code> - the offset of the single coordinate tuple to be converted in the source array.</dd>
 <dd><code>dstPts</code> - the array into which the converted coordinates 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 coordinates 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>Returns:</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>Throws:</dt>
 <dd><code><a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">ProjectionException</a></code> - if the coordinates cannot be converted.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="see-list-long">
 <li><a href="../transform/AbstractMathTransform.html#derivative(org.opengis.geometry.DirectPosition)"><code>AbstractMathTransform.derivative(DirectPosition)</code></a></li>
 <li><a href="../transform/AbstractMathTransform.html#transform(org.opengis.geometry.DirectPosition,org.opengis.geometry.DirectPosition)"><code>AbstractMathTransform.transform(DirectPosition, DirectPosition)</code></a></li>
 <li><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></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="transform(double[],int,double[],int,int)">
 <h3>transform</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">void</span>&nbsp;<span class="element-name">transform</span><wbr><span class="parameters">(double[]&nbsp;srcPts,
  int&nbsp;srcOff,
  double[]&nbsp;dstPts,
  int&nbsp;dstOff,
  int&nbsp;numPts)</span>
                throws <span class="exceptions"><a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/TransformException.html" title="class or interface in org.opengis.referencing.operation" class="external-link">TransformException</a></span></div>
 <div class="block">Converts a list of coordinate tuples. 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 class="notes">
 <dt>Specified by:</dt>
 <dd><code><a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/MathTransform.html#transform(double%5B%5D,int,double%5B%5D,int,int)" title="class or interface in org.opengis.referencing.operation" class="external-link">transform</a></code>&nbsp;in interface&nbsp;<code><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></code></dd>
 <dt>Overrides:</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>Parameters:</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>Throws:</dt>
 <dd><code><a href="http://www.geoapi.org/3.0/javadoc/org.opengis.geoapi/org/opengis/referencing/operation/TransformException.html" title="class or interface in org.opengis.referencing.operation" class="external-link">TransformException</a></code> - if a point cannot be converted.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="inverseTransform(double[],int,double[],int)">
 <h3>inverseTransform</h3>
 <div class="member-signature"><span class="modifiers">protected</span>&nbsp;<span class="return-type">void</span>&nbsp;<span class="element-name">inverseTransform</span><wbr><span class="parameters">(double[]&nbsp;srcPts,
  int&nbsp;srcOff,
  double[]&nbsp;dstPts,
  int&nbsp;dstOff)</span>
                          throws <span class="exceptions"><a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">ProjectionException</a></span></div>
 <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 class="notes">
 <dt>Specified by:</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>Parameters:</dt>
 <dd><code>srcPts</code> - the array containing the source point coordinates, 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 coordinates 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>Throws:</dt>
 <dd><code><a href="ProjectionException.html" title="class in org.apache.sis.referencing.operation.projection">ProjectionException</a></code> - if the point cannot be converted.</dd>
 </dl>
 </section>
 </li>
 </ul>
 </section>
 </li>
 </ul>
 </section>
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