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 <div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.measure</a></div>
 <h2 title="Class Range" class="title">Class Range&lt;E extends <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang" class="externalLink">Comparable</a>&lt;? super E&gt;&gt;</h2>
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 <li>Range&lt;E&gt;</li>
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 <dl>
 <dt><span class="paramLabel">Type Parameters:</span></dt>
 <dd><code>E</code> - the type of range elements, typically a <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang" class="externalLink"><code>Number</code></a> subclass or <a href="https://docs.oracle.com/javase/8/docs/api/java/util/Date.html?is-external=true" title="class or interface in java.util" class="externalLink"><code>Date</code></a>.</dd>
 </dl>
 <dl>
 <dt>All Implemented Interfaces:</dt>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io" class="externalLink">Serializable</a></code>, <code><a href="https://docs.oracle.com/javase/8/docs/api/java/util/Formattable.html?is-external=true" title="class or interface in java.util" class="externalLink">Formattable</a></code>, <code><a href="../util/collection/CheckedContainer.html" title="interface in org.apache.sis.util.collection">CheckedContainer</a>&lt;E&gt;</code>, <code><a href="../util/Emptiable.html" title="interface in org.apache.sis.util">Emptiable</a></code></dd>
 </dl>
 <dl>
 <dt>Direct Known Subclasses:</dt>
 <dd><code><a href="NumberRange.html" title="class in org.apache.sis.measure">NumberRange</a></code></dd>
 </dl>
 <hr>
 <pre>public class <span class="typeNameLabel">Range&lt;E extends <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang" class="externalLink">Comparable</a>&lt;? super E&gt;&gt;</span>
 extends <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>
 implements <a href="../util/collection/CheckedContainer.html" title="interface in org.apache.sis.util.collection">CheckedContainer</a>&lt;E&gt;, <a href="https://docs.oracle.com/javase/8/docs/api/java/util/Formattable.html?is-external=true" title="class or interface in java.util" class="externalLink">Formattable</a>, <a href="../util/Emptiable.html" title="interface in org.apache.sis.util">Emptiable</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io" class="externalLink">Serializable</a></pre>
 <div class="block">A set of minimum and maximum values of a certain class, allowing
  a user to determine if a value of the same class is contained inside the range.
  The minimum and maximum values do not have to be included in the range, and
  can be null.  If the minimum or maximum values are null, the range is said to
  be unbounded on that endpoint. If both the minimum and maximum are null,
  the range is completely unbounded and all values of that class are contained
  within the range. Null values are always considered <em>exclusive</em>,
  since iterations over the values will never reach the infinite endpoint.

  <p>The minimal and maximal values (the <cite>endpoints</cite>) may be inclusive or exclusive.
  Numeric ranges where both endpoints are inclusive are called <cite>closed intervals</cite>
  and are represented by square brackets, for example "<code>[0 … 255]</code>".
  Numeric ranges where both endpoints are exclusive are called <cite>open intervals</cite>
  and are represented by parenthesis, for example "<code>(0 … 256)</code>".</p>

  <div class="section">Type and value of range elements</div>
  To be a member of a <code>Range</code>, the <code>&lt;E&gt;</code> type defining the range must implement the
  <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang" class="externalLink"><code>Comparable</code></a> interface. All argument values given to the methods of this class shall be
  or contain instances of that <code>&lt;E&gt;</code> type. The type is enforced by parameterized type,
  but some subclasses may put additional constraints. For example <a href="MeasurementRange.html" title="class in org.apache.sis.measure"><code>MeasurementRange</code></a> will
  additionally checks the units of measurement. Consequently every methods defined in this class
  may throw an <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"><code>IllegalArgumentException</code></a> if a given argument does not met some constraint
  beyond the type.

  <div class="section">Relationship with ISO 19123 definition of range</div>
  The ISO 19123 standard (<cite>Coverage geometry and functions</cite>) defines the range as the set
  (either finite or transfinite) of feature attribute
  values associated by a function (the coverage) with the
  elements of the coverage domain. In other words, if we see a coverage as a function, then a range
  is the set of possible return values.

  <p>The characteristics of the spatial domain are defined by the ISO 19123 standard whereas the
  characteristics of the attribute range are not part of that standard. In Apache SIS, those
  characteristics are described by the <code>SampleDimension</code> class,
  which may contain one or many <code>Range</code> instances. Consequently this <code>Range</code> class
  is closely related, but not identical, to the ISO 19123 definition or range.</p>

  <p>Ranges are not necessarily numeric. Numeric and non-numeric ranges can be associated to
  discrete coverages, while typically only
  numeric ranges can be associated to continuous coverages.</p>

  <div class="section">Immutability and thread safety</div>
  This class and the <a href="NumberRange.html" title="class in org.apache.sis.measure"><code>NumberRange</code></a> / <a href="MeasurementRange.html" title="class in org.apache.sis.measure"><code>MeasurementRange</code></a> subclasses are immutable,
  and thus inherently thread-safe. Other subclasses may or may not be immutable, at implementation choice.
  But implementers are encouraged to make sure that all subclasses remain immutable for more predictable behavior.</div>
 <dl>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>0.3</dd>
 <dt><span class="seeLabel">See Also:</span></dt>
 <dd><a href="RangeFormat.html" title="class in org.apache.sis.measure"><code>RangeFormat</code></a>,
 <a href="../util/collection/RangeSet.html" title="class in org.apache.sis.util.collection"><code>RangeSet</code></a>,
 <a href="../../../../serialized-form.html#org.apache.sis.measure.Range">Serialized Form</a></dd>

 <p><font size="-1">Defined in the <code>sis-utility</code> module</font></p>
 </dl>
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 <h3>Constructor Summary</h3>
 <table class="memberSummary">
 <caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
 <tr>
 <th class="colFirst" scope="col">Constructor</th>
 <th class="colLast" scope="col">Description</th>
 </tr>
 <tr class="altColor">
 <th class="colConstructorName" scope="row"><code><span class="memberNameLink"><a href="#%3Cinit%3E(java.lang.Class,E,boolean,E,boolean)">Range</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;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;elementType,
      <a href="Range.html" title="type parameter in Range">E</a>&nbsp;minValue,
      boolean&nbsp;isMinIncluded,
      <a href="Range.html" title="type parameter in Range">E</a>&nbsp;maxValue,
      boolean&nbsp;isMaxIncluded)</code></th>
 <td class="colLast">
 <div class="block">Creates a new range bounded by the given endpoint values.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <th class="colConstructorName" scope="row"><code><span class="memberNameLink"><a href="#%3Cinit%3E(org.apache.sis.measure.Range)">Range</a></span>&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</code></th>
 <td class="colLast">
 <div class="block">Constructs a range with the same type and the same values than the specified range.</div>
 </td>
 </tr>
 </table>
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 <h3>Method Summary</h3>
 <table class="memberSummary">
 <caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd">&nbsp;</span></span><span id="t2" class="tableTab"><span><a href="javascript:show(2);">Instance Methods</a></span><span class="tabEnd">&nbsp;</span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd">&nbsp;</span></span></caption>
 <tr>
 <th class="colFirst" scope="col">Modifier and Type</th>
 <th class="colSecond" scope="col">Method</th>
 <th class="colLast" scope="col">Description</th>
 </tr>
 <tr id="i0" class="altColor">
 <td class="colFirst"><code>boolean</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#contains(E)">contains</a></span>&#8203;(<a href="Range.html" title="type parameter in Range">E</a>&nbsp;value)</code></th>
 <td class="colLast">
 <div class="block">Returns <code>true</code> if this range contains the given value.</div>
 </td>
 </tr>
 <tr id="i1" class="rowColor">
 <td class="colFirst"><code>boolean</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#contains(org.apache.sis.measure.Range)">contains</a></span>&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;? extends <a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</code></th>
 <td class="colLast">
 <div class="block">Returns <code>true</code> if the supplied range is fully contained within this range.</div>
 </td>
 </tr>
 <tr id="i2" class="altColor">
 <td class="colFirst"><code>boolean</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#equals(java.lang.Object)">equals</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang" class="externalLink">Object</a>&nbsp;object)</code></th>
 <td class="colLast">
 <div class="block">Compares this range with the given object for equality.</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="#formatTo(java.util.Formatter,int,int,int)">formatTo</a></span>&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/util/Formatter.html?is-external=true" title="class or interface in java.util" class="externalLink">Formatter</a>&nbsp;formatter,
         int&nbsp;flags,
         int&nbsp;width,
         int&nbsp;precision)</code></th>
 <td class="colLast">
 <div class="block">Formats this range using the provider formatter.</div>
 </td>
 </tr>
 <tr id="i4" class="altColor">
 <td class="colFirst"><code><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;<a href="Range.html" title="type parameter in Range">E</a>&gt;</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getElementType()">getElementType</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns the base type of elements in this range.</div>
 </td>
 </tr>
 <tr id="i5" class="rowColor">
 <td class="colFirst"><code><a href="Range.html" title="type parameter in Range">E</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getMaxValue()">getMaxValue</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns the maximal value, or <code>null</code> if this range has no upper limit.</div>
 </td>
 </tr>
 <tr id="i6" class="altColor">
 <td class="colFirst"><code><a href="Range.html" title="type parameter in Range">E</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getMinValue()">getMinValue</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns the minimal value, or <code>null</code> if this range has no lower limit.</div>
 </td>
 </tr>
 <tr id="i7" class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#hashCode()">hashCode</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns a hash code value for this range.</div>
 </td>
 </tr>
 <tr id="i8" class="altColor">
 <td class="colFirst"><code><a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#intersect(org.apache.sis.measure.Range)">intersect</a></span>&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</code></th>
 <td class="colLast">
 <div class="block">Returns the intersection between this range and the given range.</div>
 </td>
 </tr>
 <tr id="i9" class="rowColor">
 <td class="colFirst"><code>boolean</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#intersects(org.apache.sis.measure.Range)">intersects</a></span>&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;? extends <a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</code></th>
 <td class="colLast">
 <div class="block">Returns <code>true</code> if this range intersects the given range.</div>
 </td>
 </tr>
 <tr id="i10" class="altColor">
 <td class="colFirst"><code>boolean</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#isBounded()">isBounded</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns <code>true</code> if this range is both left-bounded and right-bounded.</div>
 </td>
 </tr>
 <tr id="i11" class="rowColor">
 <td class="colFirst"><code>boolean</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#isEmpty()">isEmpty</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns <code>true</code> if this range is empty.</div>
 </td>
 </tr>
 <tr id="i12" class="altColor">
 <td class="colFirst"><code>boolean</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#isMaxIncluded()">isMaxIncluded</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns <code>true</code> if the <a href="#getMaxValue()">maximal value</a> is inclusive,
  or <code>false</code> if exclusive.</div>
 </td>
 </tr>
 <tr id="i13" class="rowColor">
 <td class="colFirst"><code>boolean</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#isMinIncluded()">isMinIncluded</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns <code>true</code> if the <a href="#getMinValue()">minimal value</a> is inclusive,
  or <code>false</code> if exclusive.</div>
 </td>
 </tr>
 <tr id="i14" class="altColor">
 <td class="colFirst"><code><a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;[]</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#subtract(org.apache.sis.measure.Range)">subtract</a></span>&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</code></th>
 <td class="colLast">
 <div class="block">Returns the range of values that are in this range but not in the given range.</div>
 </td>
 </tr>
 <tr id="i15" class="rowColor">
 <td class="colFirst"><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang" class="externalLink">String</a></code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#toString()">toString</a></span>()</code></th>
 <td class="colLast">
 <div class="block">Returns a unlocalized string representation of this range.</div>
 </td>
 </tr>
 <tr id="i16" class="altColor">
 <td class="colFirst"><code><a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;</code></td>
 <th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#union(org.apache.sis.measure.Range)">union</a></span>&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</code></th>
 <td class="colLast">
 <div class="block">Returns the union of this range with the given range.</div>
 </td>
 </tr>
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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#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#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#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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 <pre>public&nbsp;Range&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</pre>
 <div class="block">Constructs a range with the same type and the same values than the specified range.
  This is a copy constructor.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>range</code> - the range to copy.</dd>
 </dl>
 </li>
 </ul>
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 <pre>public&nbsp;Range&#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;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;elementType,
              <a href="Range.html" title="type parameter in Range">E</a>&nbsp;minValue,
              boolean&nbsp;isMinIncluded,
              <a href="Range.html" title="type parameter in Range">E</a>&nbsp;maxValue,
              boolean&nbsp;isMaxIncluded)</pre>
 <div class="block">Creates a new range bounded by the given endpoint values.
  If the given minimum value is greater than the maximum value, then the range <a href="#isEmpty()">is empty</a>.

  <div class="note"><b>Assertion:</b>
  This constructor verifies the <code>minValue</code> and <code>maxValue</code> arguments type if Java assertions
  are enabled. This verification is not performed in normal execution because theoretically unnecessary
  unless Java generic types have been tricked.</div></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>elementType</code> - the base type of the range elements.</dd>
 <dd><code>minValue</code> - the minimal value, or <code>null</code> if none.</dd>
 <dd><code>isMinIncluded</code> - <code>true</code> if the minimal value is inclusive, or <code>false</code> if exclusive.</dd>
 <dd><code>maxValue</code> - the maximal value, or <code>null</code> if none.</dd>
 <dd><code>isMaxIncluded</code> - <code>true</code> if the maximal value is inclusive, or <code>false</code> if exclusive.</dd>
 </dl>
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 </ul>
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 <pre class="methodSignature">public&nbsp;<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;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;getElementType()</pre>
 <div class="block">Returns the base type of elements in this range.
  This is the type specified at construction time.</div>
 <dl>
 <dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
 <dd><code><a href="../util/collection/CheckedContainer.html#getElementType()">getElementType</a></code>&nbsp;in interface&nbsp;<code><a href="../util/collection/CheckedContainer.html" title="interface in org.apache.sis.util.collection">CheckedContainer</a>&lt;<a href="Range.html" title="type parameter in Range">E</a> extends <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang" class="externalLink">Comparable</a>&lt;? super <a href="Range.html" title="type parameter in Range">E</a>&gt;&gt;</code></dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the element type.</dd>
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 <pre class="methodSignature">public&nbsp;<a href="Range.html" title="type parameter in Range">E</a>&nbsp;getMinValue()</pre>
 <div class="block">Returns the minimal value, or <code>null</code> if this range has no lower limit.
  If non-null, the returned value is either inclusive or exclusive depending on
  the boolean returned by <a href="#isMinIncluded()"><code>isMinIncluded()</code></a>.</div>
 <dl>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the minimal value, or <code>null</code> if this range is unbounded on the lower side.</dd>
 </dl>
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 <pre class="methodSignature">public&nbsp;boolean&nbsp;isMinIncluded()</pre>
 <div class="block">Returns <code>true</code> if the <a href="#getMinValue()">minimal value</a> is inclusive,
  or <code>false</code> if exclusive. Note that <code>null</code> values are always considered
  exclusive.</div>
 <dl>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd><code>true</code> if the minimal value is inclusive, or <code>false</code> if exclusive.</dd>
 </dl>
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 <pre class="methodSignature">public&nbsp;<a href="Range.html" title="type parameter in Range">E</a>&nbsp;getMaxValue()</pre>
 <div class="block">Returns the maximal value, or <code>null</code> if this range has no upper limit.
  If non-null, the returned value is either inclusive or exclusive depending on
  the boolean returned by <a href="#isMaxIncluded()"><code>isMaxIncluded()</code></a>.</div>
 <dl>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the maximal value, or <code>null</code> if this range is unbounded on the upper side.</dd>
 </dl>
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 <pre class="methodSignature">public&nbsp;boolean&nbsp;isMaxIncluded()</pre>
 <div class="block">Returns <code>true</code> if the <a href="#getMaxValue()">maximal value</a> is inclusive,
  or <code>false</code> if exclusive. Note that <code>null</code> values are always considered
  exclusive.</div>
 <dl>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd><code>true</code> if the maximal value is inclusive, or <code>false</code> if exclusive.</dd>
 </dl>
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 <pre class="methodSignature">public final&nbsp;boolean&nbsp;isEmpty()</pre>
 <div class="block">Returns <code>true</code> if this range is empty. A range is empty if the
  <a href="#getMinValue()">minimum value</a> is greater than the
  <a href="#getMaxValue()">maximum value</a>, or if they are equal while
  at least one of them is exclusive.

  <div class="note"><b>API note:</b>
  This method is final because often used by the internal implementation.
  Making the method final ensures that the other methods behave consistently.</div></div>
 <dl>
 <dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
 <dd><code><a href="../util/Emptiable.html#isEmpty()">isEmpty</a></code>&nbsp;in interface&nbsp;<code><a href="../util/Emptiable.html" title="interface in org.apache.sis.util">Emptiable</a></code></dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd><code>true</code> if this range is empty.</dd>
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 <pre class="methodSignature">public&nbsp;boolean&nbsp;isBounded()</pre>
 <div class="block">Returns <code>true</code> if this range is both left-bounded and right-bounded.
  A <code>true</code> return value guarantees that:

  <ol>
    <li>both <a href="#getMinValue()"><code>getMinValue()</code></a> and <a href="#getMaxValue()"><code>getMaxValue()</code></a> will return non-null values;</li>
    <li>if minimum and maximum values are numbers, then those numbers are finite.</li>
  </ol></div>
 <dl>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>whether this range is left- and right-bounded.</dd>
 <dt><span class="simpleTagLabel">Since:</span></dt>
 <dd>1.0</dd>
 </dl>
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 <pre class="methodSignature">public&nbsp;boolean&nbsp;contains&#8203;(<a href="Range.html" title="type parameter in Range">E</a>&nbsp;value)</pre>
 <div class="block">Returns <code>true</code> if this range contains the given value. A range never contains the
  <code>null</code> value. This is consistent with the <a href="#skip-navbar_top">class javadoc</a>
  stating that null <a href="#getMinValue()">minimum</a> or <a href="#getMaxValue()">maximum</a>
  values are exclusive.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>value</code> - the value to check for inclusion in this range.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd><code>true</code> if the given value is included in this range.</dd>
 </dl>
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 <pre class="methodSignature">public&nbsp;boolean&nbsp;contains&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;? extends <a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</pre>
 <div class="block">Returns <code>true</code> if the supplied range is fully contained within this range.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>range</code> - the range to check for inclusion in this range.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd><code>true</code> if the given range is included in this range.</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 range is incompatible,
          for example because of incommensurable units of measurement.</dd>
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 <pre class="methodSignature">public&nbsp;boolean&nbsp;intersects&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;? extends <a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</pre>
 <div class="block">Returns <code>true</code> if this range intersects the given range.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>range</code> - the range to check for intersection with this range.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd><code>true</code> if the given range intersects this range.</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 range is incompatible,
          for example because of incommensurable units of measurement.</dd>
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 <pre class="methodSignature">public&nbsp;<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;intersect&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</pre>
 <div class="block">Returns the intersection between this range and the given range.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>range</code> - the range to intersect.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the intersection of this range with the given range.</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 range is incompatible,
          for example because of incommensurable units of measurement.</dd>
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 <pre class="methodSignature">public&nbsp;<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;union&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</pre>
 <div class="block">Returns the union of this range with the given range.</div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>range</code> - the range to add to this range.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>the union of this range with the given range.</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 range is incompatible,
          for example because of incommensurable units of measurement.</dd>
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 <pre class="methodSignature">public&nbsp;<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;[]&nbsp;subtract&#8203;(<a href="Range.html" title="class in org.apache.sis.measure">Range</a>&lt;<a href="Range.html" title="type parameter in Range">E</a>&gt;&nbsp;range)</pre>
 <div class="block">Returns the range of values that are in this range but not in the given range.
  This method returns an array of length 0, 1 or 2:

  <ul>
    <li>If the given range contains fully this range, returns an array of length 0.</li>
    <li>If the given range is in the middle of this range, then the subtraction results in
        two disjoint ranges which will be returned as two elements in the array.</li>
    <li>Otherwise returns an array of length 1.</li>
  </ul></div>
 <dl>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>range</code> - the range to subtract.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd>this range without the given range, as an array of length 0, 1 or 2.</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 range is incompatible,
          for example because of incommensurable units of measurement.</dd>
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 <pre class="methodSignature">public&nbsp;boolean&nbsp;equals&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang" class="externalLink">Object</a>&nbsp;object)</pre>
 <div class="block">Compares this range with the given object for equality.
  Two ranges are considered equal if they met the following conditions:

  <ul>
    <li>They are of the same <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">class</a>.</li>
    <li>They have the same <a href="#getElementType()">element type</a>.</li>
    <li>Both ranges <a href="#isEmpty()">are empty</a>, <strong>or</strong> (if at least one range is non-empty):
      <ul>
        <li>They have equal <a href="#getMinValue()">minimum</a> value in the sense of <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"><code>Object.equals(Object)</code></a>.</li>
        <li>They have equal <a href="#getMaxValue()">maximum</a> value in the sense of <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"><code>Object.equals(Object)</code></a>.</li>
        <li>They have equal <a href="#isMinIncluded()">inclusive minimum</a> flag.</li>
        <li>They have equal <a href="#isMaxIncluded()">inclusive maximum</a> flag.</li>
      </ul>
    <li>Any other requirement added by subclasses.
        In particular <a href="MeasurementRange.html" title="class in org.apache.sis.measure"><code>MeasurementRange</code></a> compares also the units of measurement.</li>
  </ul>

  Note that this method may return <code>true</code> even if the bounds are not strictly identical.
  In particular this method returns <code>true</code> if the ranges are empty regardless their minimum and maximum values,
  and also returns <code>true</code> if the bounds are wrappers for some <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Float.html?is-external=true#NaN" title="class or interface in java.lang" class="externalLink"><code>Float.NaN</code></a> or <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Double.html?is-external=true#NaN" title="class or interface in java.lang" class="externalLink"><code>Double.NaN</code></a> values
  even if their <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Double.html?is-external=true#doubleToRawLongBits(double)" title="class or interface in java.lang" class="externalLink">raw bits pattern</a> are not the same.
  The later is because <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Float.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang" class="externalLink"><code>Float.equals(Object)</code></a> and <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Double.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang" class="externalLink"><code>Double.equals(Object)</code></a> consider all NaN values as equal.</div>
 <dl>
 <dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
 <dd><code><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></code>&nbsp;in class&nbsp;<code><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></code></dd>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>object</code> - the object to compare with this range for equality.</dd>
 <dt><span class="returnLabel">Returns:</span></dt>
 <dd><code>true</code> if the given object is equal to this range.</dd>
 </dl>
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 <pre class="methodSignature">public&nbsp;int&nbsp;hashCode()</pre>
 <div class="block">Returns a hash code value for this range.</div>
 <dl>
 <dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
 <dd><code><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></code>&nbsp;in class&nbsp;<code><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></code></dd>
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 <pre class="methodSignature">public&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang" class="externalLink">String</a>&nbsp;toString()</pre>
 <div class="block">Returns a unlocalized string representation of this range. This method complies to the format
  described in the <a href="http://en.wikipedia.org/wiki/ISO_31-11">ISO 31-11</a> standard,
  except that the minimal and maximal values are separated by the "<code>…</code>" character
  instead than coma. More specifically, the string representation is defined as below:

  <ul>
    <li>If the range <a href="#isEmpty()">is empty</a>, then this method returns "<code>{}</code>".</li>
    <li>Otherwise if the minimal value is equals to the maximal value, then the string
        representation of that value is returned inside braces as in "<code>{value}</code>".</li>
    <li>Otherwise the string representation of the minimal and maximal values are formatted
        like "<code>[min … max]</code>" for inclusive endpoints or "<code>(min … max)</code>" for exclusive
        endpoints, or a mix of both styles. The "<code>∞</code>" symbol is used in place of
        <code>min</code> or <code>max</code> for unbounded ranges.</li>
  </ul>

  If this range is a <a href="MeasurementRange.html" title="class in org.apache.sis.measure"><code>MeasurementRange</code></a>, then the <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 of measurement</a>
  is appended to the above string representation except for empty ranges.</div>
 <dl>
 <dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
 <dd><code><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></code>&nbsp;in class&nbsp;<code><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></code></dd>
 <dt><span class="seeLabel">See Also:</span></dt>
 <dd><a href="RangeFormat.html" title="class in org.apache.sis.measure"><code>RangeFormat</code></a>,
 <a href="http://en.wikipedia.org/wiki/ISO_31-11">Wikipedia: ISO 31-11</a></dd>
 </dl>
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 </ul>
 <a id="formatTo(java.util.Formatter,int,int,int)">
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 <h4>formatTo</h4>
 <pre class="methodSignature">public&nbsp;void&nbsp;formatTo&#8203;(<a href="https://docs.oracle.com/javase/8/docs/api/java/util/Formatter.html?is-external=true" title="class or interface in java.util" class="externalLink">Formatter</a>&nbsp;formatter,
                      int&nbsp;flags,
                      int&nbsp;width,
                      int&nbsp;precision)</pre>
 <div class="block">Formats this range using the provider formatter. This method is invoked when an
  <code>Range</code> object is formatted using the <code>"%s"</code> conversion specifier of
  <a href="https://docs.oracle.com/javase/8/docs/api/java/util/Formatter.html?is-external=true" title="class or interface in java.util" class="externalLink"><code>Formatter</code></a>. Users don't need to invoke this method explicitly.

  <p>If the alternate flags is present (as in <code>"%#s"</code>), then the range will
  be formatted using the <a href="RangeFormat.html#isAlternateForm()">alternate form</a>
  for exclusive bounds.</p></div>
 <dl>
 <dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/util/Formattable.html?is-external=true#formatTo(java.util.Formatter,int,int,int)" title="class or interface in java.util" class="externalLink">formatTo</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/javase/8/docs/api/java/util/Formattable.html?is-external=true" title="class or interface in java.util" class="externalLink">Formattable</a></code></dd>
 <dt><span class="paramLabel">Parameters:</span></dt>
 <dd><code>formatter</code> - the formatter in which to format this angle.</dd>
 <dd><code>flags</code> - <a href="https://docs.oracle.com/javase/8/docs/api/java/util/FormattableFlags.html?is-external=true#LEFT_JUSTIFY" title="class or interface in java.util" class="externalLink"><code>FormattableFlags.LEFT_JUSTIFY</code></a> for left alignment, or 0 for right alignment.</dd>
 <dd><code>width</code> - minimal number of characters to write, padding with <code>' '</code> if necessary.</dd>
 <dd><code>precision</code> - maximal number of characters to write, or -1 if no limit.</dd>
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