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 <div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.referencing.cs</a></div>
 <h2 title="Class CoordinateSystems" class="title">Class CoordinateSystems</h2>
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 <pre>public final class <span class="typeNameLabel">CoordinateSystems</span>
 extends <a href="../../util/Static.html" title="class in org.apache.sis.util">Static</a></pre>
 <div class="block">Utility methods working on <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>CoordinateSystem</code></a> objects and their axes.
  Those methods allow for example to <a href="#angle(org.opengis.referencing.cs.AxisDirection,org.opengis.referencing.cs.AxisDirection)">estimate an angle between two axes</a>
  or <a href="#swapAndScaleAxes(org.opengis.referencing.cs.CoordinateSystem,org.opengis.referencing.cs.CoordinateSystem)">determining the change of axis directions and units</a>
  between two coordinate systems.</div>
 <dl>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>0.4</dd>

 <p><font size="-1">Defined in the <code>sis-referencing</code> module</font></p>
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 <th class="colFirst" scope="col">Modifier and Type</th>
 <th class="colSecond" scope="col">Method</th>
 <th class="colLast" scope="col">Description</th>
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 <tr id="i0" class="altColor">
 <td class="colFirst"><code>static <a href="../../measure/Angle.html" title="class in org.apache.sis.measure">Angle</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#angle(org.opengis.referencing.cs.AxisDirection,org.opengis.referencing.cs.AxisDirection)">angle</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>&nbsp;source,
      <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>&nbsp;target)</code></th>
 <td class="colLast">
 <div class="block">Returns the arithmetic (counterclockwise) angle from the first axis direction to the second direction.</div>
 </td>
 </tr>
 <tr id="i1" class="rowColor">
 <td class="colFirst"><code>static <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#directionAlongMeridian(org.opengis.referencing.cs.AxisDirection,double)">directionAlongMeridian</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>&nbsp;baseDirection,
                       double&nbsp;meridian)</code></th>
 <td class="colLast">
 <div class="block">Returns an axis direction from a pole along a meridian.</div>
 </td>
 </tr>
 <tr id="i2" class="altColor">
 <td class="colFirst"><code>static <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>[]</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getAxisDirections(org.opengis.referencing.cs.CoordinateSystem)">getAxisDirections</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;cs)</code></th>
 <td class="colLast">
 <div class="block">Returns the axis directions for the specified coordinate system.</div>
 </td>
 </tr>
 <tr id="i3" class="rowColor">
 <td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Integer.html?is-external=true" title="class or interface in java.lang" class="externalLink">Integer</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getEpsgCode(java.lang.Class,org.opengis.referencing.cs.CoordinateSystemAxis...)">getEpsgCode</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Class.html?is-external=true" title="class or interface in java.lang" class="externalLink">Class</a>&lt;? extends <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&gt;&nbsp;type,
            <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystemAxis.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystemAxis</a>...&nbsp;axes)</code></th>
 <td class="colLast">
 <div class="block">Returns the EPSG code of a coordinate system using the units and directions of given axes.</div>
 </td>
 </tr>
 <tr id="i4" class="altColor">
 <td class="colFirst"><code>static <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Integer.html?is-external=true" title="class or interface in java.lang" class="externalLink">Integer</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getEpsgCode(javax.measure.Unit,org.opengis.referencing.cs.AxisDirection...)">getEpsgCode</a></span>&#8203;(<a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/Unit.html?is-external=true" title="class or interface in javax.measure" class="externalLink">Unit</a>&lt;?&gt;&nbsp;unit,
            <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>...&nbsp;directions)</code></th>
 <td class="colLast">
 <div class="block">Returns the EPSG code of a coordinate system using the given unit and axis directions.</div>
 </td>
 </tr>
 <tr id="i5" class="rowColor">
 <td class="colFirst"><code>static <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#parseAxisDirection(java.lang.String)">parseAxisDirection</a></span>&#8203;(<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;name)</code></th>
 <td class="colLast">
 <div class="block">Returns an axis direction code from the given direction name.</div>
 </td>
 </tr>
 <tr id="i6" class="altColor">
 <td class="colFirst"><code>static <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#replaceAngularUnit(org.opengis.referencing.cs.CoordinateSystem,javax.measure.Unit)">replaceAngularUnit</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;cs,
                   <a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/Unit.html?is-external=true" title="class or interface in javax.measure" class="externalLink">Unit</a>&lt;<a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/quantity/Angle.html?is-external=true" title="class or interface in javax.measure.quantity" class="externalLink">Angle</a>&gt;&nbsp;newUnit)</code></th>
 <td class="colLast">
 <div class="block">Returns a coordinate system derived from the given one but with all angular units replaced by the given unit.</div>
 </td>
 </tr>
 <tr id="i7" class="rowColor">
 <td class="colFirst"><code>static <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#replaceAxes(org.opengis.referencing.cs.CoordinateSystem,org.apache.sis.referencing.cs.AxisFilter)">replaceAxes</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;cs,
            <a href="AxisFilter.html" title="interface in org.apache.sis.referencing.cs">AxisFilter</a>&nbsp;filter)</code></th>
 <td class="colLast">
 <div class="block">Returns a coordinate system derived from the given one but with a modified list of axes.</div>
 </td>
 </tr>
 <tr id="i8" class="altColor">
 <td class="colFirst"><code>static <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#replaceLinearUnit(org.opengis.referencing.cs.CoordinateSystem,javax.measure.Unit)">replaceLinearUnit</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;cs,
                  <a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/Unit.html?is-external=true" title="class or interface in javax.measure" class="externalLink">Unit</a>&lt;<a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/quantity/Length.html?is-external=true" title="class or interface in javax.measure.quantity" class="externalLink">Length</a>&gt;&nbsp;newUnit)</code></th>
 <td class="colLast">
 <div class="block">Returns a coordinate system derived from the given one but with all linear units replaced by the given unit.</div>
 </td>
 </tr>
 <tr id="i9" class="rowColor">
 <td class="colFirst"><code>static <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="#swapAndScaleAxes(org.opengis.referencing.cs.CoordinateSystem,org.opengis.referencing.cs.CoordinateSystem)">swapAndScaleAxes</a></span>&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;sourceCS,
                 <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;targetCS)</code></th>
 <td class="colLast">
 <div class="block">Returns an affine transform between two coordinate systems.</div>
 </td>
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 <h3>Methods inherited from class&nbsp;<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></h3>
 <code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang" class="externalLink">clone</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang" class="externalLink">equals</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang" class="externalLink">finalize</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang" class="externalLink">getClass</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang" class="externalLink">hashCode</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang" class="externalLink">notify</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang" class="externalLink">notifyAll</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang" class="externalLink">toString</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang" class="externalLink">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang" class="externalLink">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait(long,int)" title="class or interface in java.lang" class="externalLink">wait</a></code></li>
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 <h4>parseAxisDirection</h4>
 <pre class="methodSignature">public static&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>&nbsp;parseAxisDirection&#8203;(<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;name)
                                         throws <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang" class="externalLink">IllegalArgumentException</a></pre>
 <div class="block">Returns an axis direction code from the given direction name.
  Names are case-insensitive. They may be:

  <ul>
    <li>Cardinal directions like <cite>"north"</cite> and <cite>"east"</cite>.</li>
    <li>Inter-cardinal directions <cite>"north-east"</cite> and <cite>"south-south-east"</cite>,
        using either <code>'-'</code>, <code>'_'</code> or spaces as separator between the cardinal points.</li>
    <li>Directions from a pole like <cite>"South along 180 deg"</cite> and <cite>"South along 90° East"</cite>,
        using either the <code>"deg"</code> or <code>"°"</code> symbol. Note that the meridian is not necessarily relative
        to Greenwich (see <a href="#directionAlongMeridian(org.opengis.referencing.cs.AxisDirection,double)"><code>directionAlongMeridian(…)</code></a> for more information).</li>
  </ul></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>name</code> - the direction name (e.g. "north", "north-east", <i>etc.</i>).</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the axis direction for the given name.</dd>
 <dt><span class="throwsLabel">Throws:</span></dt>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang" class="externalLink">IllegalArgumentException</a></code> - if the given name is not a known axis direction.</dd>
 </dl>
 </li>
 </ul>
 <a id="directionAlongMeridian(org.opengis.referencing.cs.AxisDirection,double)">
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 <h4>directionAlongMeridian</h4>
 <pre class="methodSignature">public static&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>&nbsp;directionAlongMeridian&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>&nbsp;baseDirection,
                                                    double&nbsp;meridian)</pre>
 <div class="block">Returns an axis direction from a pole along a meridian.
  The given meridian is usually, but not necessarily, relative to the Greenwich meridian.

  <div class="note"><b>Example:</b>
  <code>directionAlongMeridian(AxisDirection.SOUTH, -90)</code> returns an axis direction for
  <cite>“South along 90°W”</cite>.</div>

  <div class="section">Reference meridian</div>
  The reference meridian depends on the context. It is usually the prime meridian of the
  <a href="../datum/DefaultGeodeticDatum.html" title="class in org.apache.sis.referencing.datum">geodetic datum</a> of the
  <a href="../crs/DefaultGeographicCRS.html" title="class in org.apache.sis.referencing.crs">geographic CRS</a> instance
  that contains (through its coordinate system) the axes having those directions.
  This policy is consistent with
  <a href="http://docs.opengeospatial.org/is/12-063r5/12-063r5.html#40">WKT 2 specification §7.5.4(iv)</a>.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>baseDirection</code> - the base direction, which must be <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#NORTH" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>AxisDirection.NORTH</code></a> or <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#SOUTH" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>AxisDirection.SOUTH</code></a>.</dd>
 <dd><code>meridian</code> - the meridian in degrees, relative to a unspecified (usually Greenwich) prime meridian.
          Meridians in the East hemisphere are positive and meridians in the West hemisphere are negative.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the axis direction along the given meridian.</dd>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>0.6</dd>
 </dl>
 </li>
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 <pre class="methodSignature">public static&nbsp;<a href="../../measure/Angle.html" title="class in org.apache.sis.measure">Angle</a>&nbsp;angle&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>&nbsp;source,
                           <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>&nbsp;target)</pre>
 <div class="block">Returns the arithmetic (counterclockwise) angle from the first axis direction to the second direction.
  This method returns a value between -180° and +180°, or <code>null</code> if no angle can be computed.

  <div class="section">Horizontal directions</div>
  For any pair of compass directions which are not opposite directions, a positive angle denotes
  a right-handed system while a negative angle denotes a left-handed system. Examples:

  <ul>
    <li>The angle from <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#EAST" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>EAST</code></a> to <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#NORTH" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>NORTH</code></a> is 90°</li>
    <li>The angle from <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#SOUTH" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>SOUTH</code></a> to <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#WEST" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>WEST</code></a> is -90°</li>
    <li>The angle from <cite>"North along 90° East"</cite> to <cite>"North along 0°"</cite> is 90°.</li>
  </ul>

  <div class="note"><b>Note:</b>
  in the case of directions like <cite>“South along 90°W”</cite>, the caller is responsible to make sure
  that the meridians are relative to the same prime meridian. This is the case if the axes are part of
  the same <code>CoordinateSystem</code> instance.</div>

  <div class="section">Horizontal and vertical directions</div>
  By convention this method defines the angle from any compass direction to the <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#UP" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>UP</code></a>
  vertical direction as 90°, and the angle of any compass direction to the <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#DOWN" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>DOWN</code></a>
  vertical direction as -90°. The sign of those angles gives no indication about whether the coordinate system
  is right-handed or left-handed. Those angles are returned as instances of <a href="../../measure/ElevationAngle.html" title="class in org.apache.sis.measure"><code>ElevationAngle</code></a>.

  <p>All angles are approximations since this method does not take the Earth ellipsoidal or geoidal shape in
  account.</p>

  <div class="section">Invariants</div>
  For any non-null return value:
  <ul>
    <li><code>angle(A, A) = 0°</code></li>
    <li><code>angle(A, opposite(A)) = ±180°</code></li>
    <li><code>angle(A, B) = -angle(B, A)</code></li>
  </ul></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>source</code> - the source axis direction.</dd>
 <dd><code>target</code> - the target axis direction.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the arithmetic angle (in degrees) of the rotation to apply on a line pointing toward
          the source direction in order to make it point toward the target direction, or
          <code>null</code> if this value can not be computed.</dd>
 </dl>
 </li>
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 <pre class="methodSignature">public static&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;swapAndScaleAxes&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;sourceCS,
                                       <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;targetCS)
                                throws <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang" class="externalLink">IllegalArgumentException</a>,
                                       <a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/IncommensurableException.html?is-external=true" title="class or interface in javax.measure" class="externalLink">IncommensurableException</a></pre>
 <div class="block">Returns an affine transform between two coordinate systems.
  Only units and axes order (e.g. transforming from
  (<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#NORTH" title="class or interface in org.opengis.referencing.cs" class="externalLink">North</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#WEST" title="class or interface in org.opengis.referencing.cs" class="externalLink">West</a>) to
  (<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#EAST" title="class or interface in org.opengis.referencing.cs" class="externalLink">East</a>, <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true#NORTH" title="class or interface in org.opengis.referencing.cs" class="externalLink">North</a>)
  are taken in account by this method.

  <div class="section">Conditions</div>
  The two coordinate systems must implement the same GeoAPI coordinate system interface.
  For example if <code>sourceCS</code> is a <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CartesianCS.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>CartesianCS</code></a>,
  then <code>targetCS</code> must be a <code>CartesianCS</code> too.

  <div class="note"><b>Example:</b>
  If coordinates in <code>sourceCS</code> are (<var>x</var>,<var>y</var>) tuples in metres
  and coordinates in <code>targetCS</code> are (<var>-y</var>,<var>x</var>) tuples in centimetres,
  then the transformation can be performed as below:

  <blockquote><pre>┌      ┐   ┌                ┐ ┌     ┐
 │-<var>y</var>(cm)│   │   0  -100    0 │ │ <var>x</var>(<var>m</var>)│
 │ <var>x</var>(cm)│ = │ 100     0    0 │ │ <var>y</var>(<var>m</var>)│
 │ 1    │   │   0     0    1 │ │ 1   │
 └      ┘   └                ┘ └     ┘</pre></blockquote>
  </div></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>sourceCS</code> - the source coordinate system.</dd>
 <dd><code>targetCS</code> - the target coordinate system.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the conversion from <code>sourceCS</code> to <code>targetCS</code> as an affine transform.
          Only axis direction and units are taken in account.</dd>
 <dt><span class="throwsLabel">Throws:</span></dt>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang" class="externalLink">IllegalArgumentException</a></code> - if the CS are not of the same type, or axes do not match.</dd>
 <dd><code><a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/IncommensurableException.html?is-external=true" title="class or interface in javax.measure" class="externalLink">IncommensurableException</a></code> - if the units are not compatible, or the conversion is non-linear.</dd>
 <dt><span class="seeLabel">See Also:</span></dt>
 <dd><a href="../operation/matrix/Matrices.html#createTransform(org.opengis.referencing.cs.AxisDirection%5B%5D,org.opengis.referencing.cs.AxisDirection%5B%5D)"><code>Matrices.createTransform(AxisDirection[], AxisDirection[])</code></a></dd>
 </dl>
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 <pre class="methodSignature">public static&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;replaceAxes&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;cs,
                                            <a href="AxisFilter.html" title="interface in org.apache.sis.referencing.cs">AxisFilter</a>&nbsp;filter)</pre>
 <div class="block">Returns a coordinate system derived from the given one but with a modified list of axes.
  The axes may be filtered (excluding some axes), reordered or have their unit and direction modified.

  <div class="note"><b>Example:</b>
  for replacing all angular units of a coordinate system to degrees (regardless what the original
  angular units were) while leaving other kinds of units unchanged, one can write:

  <blockquote><pre>CoordinateSystem cs = ...;
 cs = CoordinateSystems.<b>replaceAxes</b>(cs, <font color="green">new</font> <b>AxisFilter</b>() {
     @Override
     <font color="green">public</font> Unit&lt;?&gt; <b>getUnitReplacement</b>(CoordinateSystemAxis axis, Unit&lt;?&gt; unit) {
         <font color="green">if</font> (Units.<b>isAngular</b>(unit)) {
             unit = Units.DEGREE;
         }
         <font color="green">return</font> unit;
     }
 });</pre></blockquote></div>

  <div class="section">Coordinate system normalization</div>
  This method is often used together with <a href="#swapAndScaleAxes(org.opengis.referencing.cs.CoordinateSystem,org.opengis.referencing.cs.CoordinateSystem)"><code>swapAndScaleAxes(…)</code></a> for normalizing the
  coordinate values given to a <a href="../operation/transform/AbstractMathTransform.html" title="class in org.apache.sis.referencing.operation.transform">math transform</a>.

  <div class="note"><b>Example:</b>
  <blockquote><pre>CoordinateSystem sourceCS = ...;
 CoordinateSystem targetCS = ...;
 Matrix step1 = <b>swapAndScaleAxes</b>(sourceCS, <b>replaceAxes</b>(sourceCS, AxisConvention.NORMALIZED));
 Matrix step2 = ...; <i><font color="gray">// some transform working on coordinates with standard axis order and unit.</font></i>
 Matrix step3 = <b>swapAndScaleAxes</b>(<b>replaceAxes</b>(targetCS, AxisConvention.NORMALIZED), targetCS);</pre></blockquote></div>

  A rational for normalized axis order and units is explained in the <cite>Axis units and direction</cite> section
  in the description of the <a href="../operation/projection/package-summary.html">map projection package</a>.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>cs</code> - the coordinate system, or <code>null</code>.</dd>
 <dd><code>filter</code> - the modifications to apply on coordinate system axes.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the modified coordinate system as a new instance,
          or <code>cs</code> if the given coordinate system was null or does not need any change.</dd>
 <dt><span class="throwsLabel">Throws:</span></dt>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang" class="externalLink">IllegalArgumentException</a></code> - if the specified coordinate system can not be filtered.
          It may be because the coordinate system would contain an illegal number of axes,
          or because an axis would have an unexpected direction or unexpected unit of measurement.</dd>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>0.6</dd>
 <dt><span class="seeLabel">See Also:</span></dt>
 <dd><a href="AxesConvention.html#NORMALIZED"><code>AxesConvention.NORMALIZED</code></a></dd>
 </dl>
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 <pre class="methodSignature">public static&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;replaceLinearUnit&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;cs,
                                                  <a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/Unit.html?is-external=true" title="class or interface in javax.measure" class="externalLink">Unit</a>&lt;<a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/quantity/Length.html?is-external=true" title="class or interface in javax.measure.quantity" class="externalLink">Length</a>&gt;&nbsp;newUnit)</pre>
 <div class="block">Returns a coordinate system derived from the given one but with all linear units replaced by the given unit.
  Non-linear units (e.g. angular or scale units) are left unchanged.

  <p>This convenience method is equivalent to the following code:</p>
  <blockquote><pre><font color="green">return</font> CoordinateSystems.<b>replaceAxes</b>(cs, <font color="green">new</font> <b>AxisFilter</b>() {
     @Override <font color="green">public</font> Unit&lt;?&gt; <b>getUnitReplacement</b>(CoordinateSystemAxis axis, Unit&lt;?&gt; unit) {
         <font color="green">return</font> Units.<b>isLinear</b>(unit) ? newUnit : unit;
     }
 });</pre></blockquote></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>cs</code> - the coordinate system in which to replace linear units, or <code>null</code>.</dd>
 <dd><code>newUnit</code> - the new linear unit.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the modified coordinate system as a new instance, or <code>null</code> if the given <code>cs</code> was null,
          or <code>cs</code> if all linear units were already equal to the given one.</dd>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>0.7</dd>
 <dt><span class="seeLabel">See Also:</span></dt>
 <dd><a href="../../measure/Units.html#isLinear(javax.measure.Unit)"><code>Units.isLinear(Unit)</code></a></dd>
 </dl>
 </li>
 </ul>
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 <pre class="methodSignature">public static&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;replaceAngularUnit&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;cs,
                                                   <a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/Unit.html?is-external=true" title="class or interface in javax.measure" class="externalLink">Unit</a>&lt;<a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/quantity/Angle.html?is-external=true" title="class or interface in javax.measure.quantity" class="externalLink">Angle</a>&gt;&nbsp;newUnit)</pre>
 <div class="block">Returns a coordinate system derived from the given one but with all angular units replaced by the given unit.
  Non-angular units (e.g. linear or scale units) are left unchanged.

  <p>This convenience method is equivalent to the following code:</p>
  <blockquote><pre><font color="green">return</font> CoordinateSystems.<b>replaceAxes</b>(cs, <font color="green">new</font> <b>AxisFilter</b>() {
     @Override <font color="green">public</font> Unit&lt;?&gt; <b>getUnitReplacement</b>(CoordinateSystemAxis axis, Unit&lt;?&gt; unit) {
         <font color="green">return</font> Units.<b>isAngular</b>(unit) ? newUnit : unit;
     }
 });</pre></blockquote></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>cs</code> - the coordinate system in which to replace angular units, or <code>null</code>.</dd>
 <dd><code>newUnit</code> - the new angular unit.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the modified coordinate system as a new instance, or <code>null</code> if the given <code>cs</code> was null,
          or <code>cs</code> if all angular units were already equal to the given one.</dd>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>0.7</dd>
 <dt><span class="seeLabel">See Also:</span></dt>
 <dd><a href="../../measure/Units.html#isAngular(javax.measure.Unit)"><code>Units.isAngular(Unit)</code></a></dd>
 </dl>
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 <pre class="methodSignature">public static&nbsp;<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>[]&nbsp;getAxisDirections&#8203;(<a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&nbsp;cs)</pre>
 <div class="block">Returns the axis directions for the specified coordinate system.
  This method guarantees that the returned array is non-null and does not contain any null direction.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>cs</code> - the coordinate system.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the axis directions for the specified coordinate system.</dd>
 <dt><span class="throwsLabel">Throws:</span></dt>
 <dd><code><a href="../../util/NullArgumentException.html" title="class in org.apache.sis.util">NullArgumentException</a></code> - if <code>cs</code> is null, or one of its axes is null,
          or a value returned by <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystemAxis.html?is-external=true#getDirection()" title="class or interface in org.opengis.referencing.cs" class="externalLink"><code>CoordinateSystemAxis.getDirection()</code></a> is null.</dd>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>0.8</dd>
 </dl>
 </li>
 </ul>
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 <pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Integer.html?is-external=true" title="class or interface in java.lang" class="externalLink">Integer</a>&nbsp;getEpsgCode&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Class.html?is-external=true" title="class or interface in java.lang" class="externalLink">Class</a>&lt;? extends <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystem.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystem</a>&gt;&nbsp;type,
                                   <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystemAxis.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">CoordinateSystemAxis</a>...&nbsp;axes)</pre>
 <div class="block">Returns the EPSG code of a coordinate system using the units and directions of given axes.
  This method ignores axis metadata (names, abbreviation, identifiers, remarks, <i>etc.</i>).
  The axis minimum and maximum values are checked only if the
  <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/CoordinateSystemAxis.html?is-external=true#getRangeMeaning()" title="class or interface in org.opengis.referencing.cs" class="externalLink">range meaning</a> is "wraparound".
  If no suitable coordinate system is known to Apache SIS, then this method returns <code>null</code>.

  <p>Current implementation uses a hard-coded list of known coordinate systems;
  it does not yet scan the EPSG database (this may change in future Apache SIS version).
  The current list of known coordinate systems is given below.</p>

  <table>
    <caption>Known coordinate systems (CS)</caption>
    <tr><th>EPSG</th> <th>CS type</th> <th colspan="3">Axis directions</th> <th>Horizontal unit</th></tr>
    <tr><td>6424</td> <td>Ellipsoidal</td> <td>east</td>  <td>north</td> <td></td>   <td>degree</td></tr>
    <tr><td>6422</td> <td>Ellipsoidal</td> <td>north</td> <td>east</td>  <td></td>   <td>degree</td></tr>
    <tr><td>6425</td> <td>Ellipsoidal</td> <td>east</td>  <td>north</td> <td></td>   <td>grads</td></tr>
    <tr><td>6403</td> <td>Ellipsoidal</td> <td>north</td> <td>east</td>  <td></td>   <td>grads</td></tr>
    <tr><td>6429</td> <td>Ellipsoidal</td> <td>east</td>  <td>north</td> <td></td>   <td>radian</td></tr>
    <tr><td>6428</td> <td>Ellipsoidal</td> <td>north</td> <td>east</td>  <td></td>   <td>radian</td></tr>
    <tr><td>6426</td> <td>Ellipsoidal</td> <td>east</td>  <td>north</td> <td>up</td> <td>degree</td></tr>
    <tr><td>6423</td> <td>Ellipsoidal</td> <td>north</td> <td>east</td>  <td>up</td> <td>degree</td></tr>
    <tr><td>6427</td> <td>Ellipsoidal</td> <td>east</td>  <td>north</td> <td>up</td> <td>grads</td></tr>
    <tr><td>6421</td> <td>Ellipsoidal</td> <td>north</td> <td>east</td>  <td>up</td> <td>grads</td></tr>
    <tr><td>6431</td> <td>Ellipsoidal</td> <td>east</td>  <td>north</td> <td>up</td> <td>radian</td></tr>
    <tr><td>6430</td> <td>Ellipsoidal</td> <td>north</td> <td>east</td>  <td>up</td> <td>radian</td></tr>
    <tr><td>4400</td> <td>Cartesian</td>   <td>east</td>  <td>north</td> <td></td>   <td>metre</td></tr>
    <tr><td>4500</td> <td>Cartesian</td>   <td>north</td> <td>east</td>  <td></td>   <td>metre</td></tr>
    <tr><td>4491</td> <td>Cartesian</td>   <td>west</td>  <td>north</td> <td></td>   <td>metre</td></tr>
    <tr><td>4501</td> <td>Cartesian</td>   <td>north</td> <td>west</td>  <td></td>   <td>metre</td></tr>
    <tr><td>6503</td> <td>Cartesian</td>   <td>west</td>  <td>south</td> <td></td>   <td>metre</td></tr>
    <tr><td>6501</td> <td>Cartesian</td>   <td>south</td> <td>west</td>  <td></td>   <td>metre</td></tr>
    <tr><td>1039</td> <td>Cartesian</td>   <td>east</td>  <td>north</td> <td></td>   <td>foot</td></tr>
    <tr><td>1029</td> <td>Cartesian</td>   <td>north</td> <td>east</td>  <td></td>   <td>foot</td></tr>
    <tr><td>4403</td> <td>Cartesian</td>   <td>east</td>  <td>north</td> <td></td>   <td>Clarke’s foot</td></tr>
    <tr><td>4502</td> <td>Cartesian</td>   <td>north</td> <td>east</td>  <td></td>   <td>Clarke’s foot</td></tr>
    <tr><td>4497</td> <td>Cartesian</td>   <td>east</td>  <td>north</td> <td></td>   <td>US survey foot</td></tr>
  </table></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>type</code> - the type of coordinate system for which an EPSG code is desired, as a GeoAPI interface.</dd>
 <dd><code>axes</code> - axes for which a coordinate system EPSG code is desired.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>EPSG codes for a coordinate system using the given axes (ignoring metadata), or <code>null</code> if unknown
          to this method. Note that a null value does not mean that a more  extensive search in the EPSG database
          would not find a matching coordinate system.</dd>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>1.0</dd>
 <dt><span class="seeLabel">See Also:</span></dt>
 <dd><a href="../factory/GeodeticAuthorityFactory.html#createCoordinateSystem(java.lang.String)"><code>GeodeticAuthorityFactory.createCoordinateSystem(String)</code></a></dd>
 </dl>
 </li>
 </ul>
 <a id="getEpsgCode(javax.measure.Unit,org.opengis.referencing.cs.AxisDirection...)">
 <!--   -->
 </a>
 <ul class="blockListLast">
 <li class="blockList">
 <h4>getEpsgCode</h4>
 <pre class="methodSignature">public static&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Integer.html?is-external=true" title="class or interface in java.lang" class="externalLink">Integer</a>&nbsp;getEpsgCode&#8203;(<a href="http://unitsofmeasurement.github.io/unit-api/site/apidocs/javax/measure/Unit.html?is-external=true" title="class or interface in javax.measure" class="externalLink">Unit</a>&lt;?&gt;&nbsp;unit,
                                   <a href="http://www.geoapi.org/3.0/javadoc/org/opengis/referencing/cs/AxisDirection.html?is-external=true" title="class or interface in org.opengis.referencing.cs" class="externalLink">AxisDirection</a>...&nbsp;directions)</pre>
 <div class="block">Returns the EPSG code of a coordinate system using the given unit and axis directions.
  This convenience method performs the work documented in <a href="#getEpsgCode(java.lang.Class,org.opengis.referencing.cs.CoordinateSystemAxis...)"><code>getEpsgCode(Class, CoordinateSystemAxis...)</code></a>,
  but requiring only a frequently used subset of information.
  If no suitable coordinate system is known to Apache SIS, then this method returns <code>null</code>.

  <p>Current implementation uses a hard-coded list of known coordinate systems;
  it does not yet scan the EPSG database (this may change in future Apache SIS version).
  The current list of known coordinate systems is documented <a href="#getEpsgCode(java.lang.Class,org.opengis.referencing.cs.CoordinateSystemAxis...)">above</a>.</p></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>unit</code> - desired unit of measurement. For three-dimensional ellipsoidal coordinate system,
                      this is the unit for the horizontal axes only; the vertical axis is in metres.</dd>
 <dd><code>directions</code> - desired axis directions.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>EPSG codes for a coordinate system using the given axis directions and unit of measurement,
          or <code>null</code> if unknown to this method. Note that a null value does not mean that a more
          extensive search in the EPSG database would not find a matching coordinate system.</dd>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>0.8</dd>
 <dt><span class="seeLabel">See Also:</span></dt>
 <dd><a href="../../measure/Units.html#getEpsgCode(javax.measure.Unit,boolean)"><code>Units.getEpsgCode(Unit, boolean)</code></a>,
 <a href="../factory/GeodeticAuthorityFactory.html#createCoordinateSystem(java.lang.String)"><code>GeodeticAuthorityFactory.createCoordinateSystem(String)</code></a></dd>
 </dl>
 </li>
 </ul>
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 </section>
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