org.apache.sis.util/org/apache/sis/math/Fraction.html - sis-site - Git at Google

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 <div class="sub-title"><span class="module-label-in-type">Module</span>&nbsp;<a href="../../../../module-summary.html">org.apache.sis.util</a></div>
 <div class="sub-title"><span class="package-label-in-type">Package</span>&nbsp;<a href="package-summary.html">org.apache.sis.math</a></div>
 <h1 title="Class Fraction" class="title">Class Fraction</h1>
 </div>
 <div class="inheritance" title="Inheritance Tree"><a href="https://docs.oracle.com/en/java/javase/11/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="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html" title="class or interface in java.lang" class="external-link">Number</a>
 <div class="inheritance">Fraction</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/11/docs/api/java.base/java/io/Serializable.html" title="class or interface in java.io" class="external-link">Serializable</a></code>, <code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Comparable.html" title="class or interface in java.lang" class="external-link">Comparable</a>&lt;<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&gt;</code></dd>
 </dl>
 <hr>
 <div class="type-signature"><span class="modifiers">public final class </span><span class="element-name type-name-label">Fraction</span>
 <span class="extends-implements">extends <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html" title="class or interface in java.lang" class="external-link">Number</a>
 implements <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Comparable.html" title="class or interface in java.lang" class="external-link">Comparable</a>&lt;<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&gt;, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/io/Serializable.html" title="class or interface in java.io" class="external-link">Serializable</a></span></div>
 <div class="block">A value class for rational numbers. <code>Fraction</code> objects are represented by a <a href="#numerator">numerator</a> and
  a <a href="#denominator">denominator</a> stored at 32 bits integers. Fractions can be <a href="#simplify()">simplified</a>.
  All <code>Fraction</code> instances are immutable and thus inherently thread-safe.</div>
 <dl class="notes">
 <dt>Since:</dt>
 <dd>0.8</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="../../../../../serialized-form.html#org.apache.sis.math.Fraction">Serialized Form</a></li>
 </ul>
 </dd>
 </dl>
 </section>
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 <!-- =========== FIELD SUMMARY =========== -->
 <li>
 <section class="field-summary" id="field-summary">
 <h2>Field Summary</h2>
 <div class="caption"><span>Fields</span></div>
 <div class="summary-table three-column-summary">
 <div class="table-header col-first">Modifier and Type</div>
 <div class="table-header col-second">Field</div>
 <div class="table-header col-last">Description</div>
 <div class="col-first even-row-color"><code>final int</code></div>
 <div class="col-second even-row-color"><code><a href="#denominator" class="member-name-link">denominator</a></code></div>
 <div class="col-last even-row-color">
 <div class="block">The <var>b</var> term in the <var>a</var>/<var>b</var> fraction.</div>
 </div>
 <div class="col-first odd-row-color"><code>final int</code></div>
 <div class="col-second odd-row-color"><code><a href="#numerator" class="member-name-link">numerator</a></code></div>
 <div class="col-last odd-row-color">
 <div class="block">The <var>a</var> term in the <var>a</var>/<var>b</var> fraction.</div>
 </div>
 </div>
 </section>
 </li>
 <!-- ======== CONSTRUCTOR SUMMARY ======== -->
 <li>
 <section class="constructor-summary" id="constructor-summary">
 <h2>Constructor Summary</h2>
 <div class="caption"><span>Constructors</span></div>
 <div class="summary-table two-column-summary">
 <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(int,int)" class="member-name-link">Fraction</a><wbr>(int&nbsp;numerator,
  int&nbsp;denominator)</code></div>
 <div class="col-last even-row-color">
 <div class="block">Creates a new fraction.</div>
 </div>
 <div class="col-constructor-name odd-row-color"><code><a href="#%3Cinit%3E(java.lang.String)" class="member-name-link">Fraction</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/String.html" title="class or interface in java.lang" class="external-link">String</a>&nbsp;s)</code></div>
 <div class="col-last odd-row-color">
 <div class="block">Creates a new fraction from the given text.</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-tab1" role="tab" aria-selected="false" aria-controls="method-summary-table.tabpanel" tabindex="-1" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table-tab1', 3)" class="table-tab">Static 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>
 <div id="method-summary-table.tabpanel" role="tabpanel">
 <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="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#add(org.apache.sis.math.Fraction)" class="member-name-link">add</a><wbr>(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</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 simplified result of adding the given fraction to this fraction.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>int</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#ceil()" class="member-name-link">ceil</a>()</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns this fraction rounded toward positive infinity.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>int</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#compareTo(org.apache.sis.math.Fraction)" class="member-name-link">compareTo</a><wbr>(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Compares this fraction with the given one for order.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#divide(org.apache.sis.math.Fraction)" class="member-name-link">divide</a><wbr>(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</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 simplified result of dividing this fraction by the given fraction.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>double</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#doubleValue()" class="member-name-link">doubleValue</a>()</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 fraction as a double-precision floating point number.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>boolean</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#equals(java.lang.Object)" class="member-name-link">equals</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a>&nbsp;other)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Compares this fraction with the given object for equality.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>float</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#floatValue()" class="member-name-link">floatValue</a>()</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 fraction as a single-precision floating point number.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>int</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#floor()" class="member-name-link">floor</a>()</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns this fraction rounded toward negative infinity.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>int</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#hashCode()" class="member-name-link">hashCode</a>()</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns a hash code value for this fraction.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>int</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#intValue()" class="member-name-link">intValue</a>()</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns this fraction rounded toward zero.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#inverse()" class="member-name-link">inverse</a>()</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 inverse value of this fraction.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>boolean</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#isNaN()" class="member-name-link">isNaN</a>()</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns <code>true</code> if the numerator and denominator are both zero.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>long</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#longValue()" class="member-name-link">longValue</a>()</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns this fraction rounded toward zero.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#multiply(org.apache.sis.math.Fraction)" class="member-name-link">multiply</a><wbr>(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</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 simplified result of multiplying the given fraction with this fraction.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#negate()" class="member-name-link">negate</a>()</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 negative value of this fraction.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>int</code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#round()" class="member-name-link">round</a>()</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns this fraction rounded toward nearest integer.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>int</code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#signum()" class="member-name-link">signum</a>()</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 sign of this fraction.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#simplify()" class="member-name-link">simplify</a>()</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns a fraction equivalent to <code>this</code> but represented by the smallest possible numerator
  and denominator values.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#subtract(org.apache.sis.math.Fraction)" class="member-name-link">subtract</a><wbr>(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</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 simplified result of subtracting the given fraction from this fraction.</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/11/docs/api/java.base/java/lang/String.html" title="class or interface in java.lang" class="external-link">String</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#toString()" class="member-name-link">toString</a>()</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns a string representation of this fraction.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#unique()" class="member-name-link">unique</a>()</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
 <div class="block">Returns a unique fraction instance equals to <code>this</code>.</div>
 </div>
 <div class="col-first odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#valueOf(double)" class="member-name-link">valueOf</a><wbr>(double&nbsp;value)</code></div>
 <div class="col-last odd-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Converts the given IEEE 754 double-precision value to a fraction.</div>
 </div>
 <div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static <a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></code></div>
 <div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#valueOf(long,long)" class="member-name-link">valueOf</a><wbr>(long&nbsp;numerator,
  long&nbsp;denominator)</code></div>
 <div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
 <div class="block">Returns the given fraction after simplification.</div>
 </div>
 </div>
 </div>
 </div>
 <div class="inherited-list">
 <h3 id="methods-inherited-from-class-Number">Methods inherited from class&nbsp;<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html" title="class or interface in java.lang" class="external-link">Number</a></h3>
 <code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html#byteValue()" title="class or interface in java.lang" class="external-link">byteValue</a>, <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html#shortValue()" title="class or interface in java.lang" class="external-link">shortValue</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/11/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/11/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/11/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/11/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/11/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/11/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/11/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/11/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/11/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>
 </section>
 </li>
 </ul>
 </section>
 <section class="details">
 <ul class="details-list">
 <!-- ============ FIELD DETAIL =========== -->
 <li>
 <section class="field-details" id="field-detail">
 <h2>Field Details</h2>
 <ul class="member-list">
 <li>
 <section class="detail" id="numerator">
 <h3>numerator</h3>
 <div class="member-signature"><span class="modifiers">public final</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">numerator</span></div>
 <div class="block">The <var>a</var> term in the <var>a</var>/<var>b</var> fraction.
  Can be positive, negative or zero.</div>
 <dl class="notes">
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="#doubleValue()"><code>doubleValue()</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="denominator">
 <h3>denominator</h3>
 <div class="member-signature"><span class="modifiers">public final</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">denominator</span></div>
 <div class="block">The <var>b</var> term in the <var>a</var>/<var>b</var> fraction.
  Can be positive, negative or zero. If zero, then the fraction <a href="#doubleValue()">floating point</a>
  value will be positive infinity, negative infinity or NaN depending on the <a href="#numerator">numerator</a> value.</div>
 <dl class="notes">
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="#doubleValue()"><code>doubleValue()</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 </ul>
 </section>
 </li>
 <!-- ========= 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;(int,int)">
 <h3>Fraction</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="element-name">Fraction</span><wbr><span class="parameters">(int&nbsp;numerator,
  int&nbsp;denominator)</span></div>
 <div class="block">Creates a new fraction. This constructor stores the fraction exactly as specified; it does not simplify it.
  The fraction can be simplified after construction by a call to <a href="#simplify()"><code>simplify()</code></a>.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>numerator</code> - the <var>a</var> term in the <var>a</var>/<var>b</var> fraction.</dd>
 <dd><code>denominator</code> - the <var>b</var> term in the <var>a</var>/<var>b</var> fraction.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="&lt;init&gt;(java.lang.String)">
 <h3>Fraction</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="element-name">Fraction</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/String.html" title="class or interface in java.lang" class="external-link">String</a>&nbsp;s)</span>
          throws <span class="exceptions"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/NumberFormatException.html" title="class or interface in java.lang" class="external-link">NumberFormatException</a></span></div>
 <div class="block">Creates a new fraction from the given text. This constructor is the converse of <a href="#toString()"><code>toString()</code></a> method.
  It can parse single numbers like "3", fractions like "2/3", Unicode characters like "⅔" and infinity symbols
  "∞" and "−∞". The given text shall not contain spaces.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>s</code> - the text to parse.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/NumberFormatException.html" title="class or interface in java.lang" class="external-link">NumberFormatException</a></code> - if the given text cannot be parsed.</dd>
 <dt>Since:</dt>
 <dd>1.0</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="valueOf(long,long)">
 <h3>valueOf</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">valueOf</span><wbr><span class="parameters">(long&nbsp;numerator,
  long&nbsp;denominator)</span></div>
 <div class="block">Returns the given fraction after simplification.
  If the numerator or denominator is still too large for 32 bit integer after simplification,
  then an <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/ArithmeticException.html" title="class or interface in java.lang" class="external-link"><code>ArithmeticException</code></a> is thrown.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>numerator</code> - numerator of the fraction to return.</dd>
 <dd><code>denominator</code> - denominator of the fraction to return.</dd>
 <dt>Returns:</dt>
 <dd>the simplified fraction.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/ArithmeticException.html" title="class or interface in java.lang" class="external-link">ArithmeticException</a></code> - if the numerator and denominator cannot be represented by 32 bit integers.</dd>
 <dt>Since:</dt>
 <dd>1.4</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="valueOf(double)">
 <h3>valueOf</h3>
 <div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">valueOf</span><wbr><span class="parameters">(double&nbsp;value)</span></div>
 <div class="block">Converts the given IEEE 754 double-precision value to a fraction. If successful, this method returns a fraction
  such as <a href="#doubleValue()"><code>doubleValue()</code></a> is equal to the given value in the sense of <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Double.html#equals(java.lang.Object)" title="class or interface in java.lang" class="external-link"><code>Double.equals(Object)</code></a>:
  infinities, positive and negative zeros are preserved, but various NaN values are collapsed to a single NaN value.

  <p>This method accepts only values between <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Integer.html#MIN_VALUE" title="class or interface in java.lang" class="external-link">-2147483648</a> and <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Integer.html#MAX_VALUE" title="class or interface in java.lang" class="external-link">2147483647</a> inclusive,
  i.e. values in the range of 32-bits integers. If the given value has fraction digits, then the validity range
  will be smaller depending on the <a href="#denominator">denominator</a> required for representing that value.</p>

  <h4 id="design-note-heading">Design note</h4>
  This method does not return approximated values because it is difficult to choose which fraction is best.
  For example, choosing an approximated fraction for π value is quite arbitrary, and searching the fraction
  closer than any other fraction representable by this class is computationally expensive.
  Even with common fractions, the algorithm currently implemented in this class can detect that 1.6666666666666667
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Double.html#equals(java.lang.Object)" title="class or interface in java.lang" class="external-link">is equal to</a> 5⁄3 but cannot detect easily that 1.66666666666666 (same number
  with two decimal digits dropped) is close to 5⁄3.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>value</code> - the double-precision value to convert to a fraction.</dd>
 <dt>Returns:</dt>
 <dd>a fraction such as <a href="#doubleValue()"><code>doubleValue()</code></a> is equal to the given value.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/IllegalArgumentException.html" title="class or interface in java.lang" class="external-link">IllegalArgumentException</a></code> - if the given value cannot be converted to a fraction.</dd>
 <dt>Since:</dt>
 <dd>1.0</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="unique()">
 <h3>unique</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">unique</span>()</div>
 <div class="block">Returns a unique fraction instance equals to <code>this</code>.
  If this method has been invoked previously on another <code>Fraction</code> with the same value than <code>this</code>,
  then that previous instance is returned (provided that it has not yet been garbage collected). Otherwise this
  method adds this fraction to the pool of fractions that may be returned in next <code>unique()</code> invocations,
  then returns <code>this</code>.

  <p>This method is useful for saving memory when a potentially large amount of <code>Fraction</code> instances will
  be kept for a long time and many instances are likely to have the same values.
  It is usually not worth to invoke this method for short-lived instances.</p></div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd>a unique instance of a fraction equals to <code>this</code>.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="simplify()">
 <h3>simplify</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">simplify</span>()</div>
 <div class="block">Returns a fraction equivalent to <code>this</code> but represented by the smallest possible numerator
  and denominator values. If this fraction cannot be simplified, then this method returns <code>this</code>.</div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd>the simplest fraction equivalent to this fraction.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="inverse()">
 <h3>inverse</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">inverse</span>()</div>
 <div class="block">Returns the inverse value of this fraction.
  This method does not simplify the fraction.</div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd>the result of <code>1/this</code>.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/ArithmeticException.html" title="class or interface in java.lang" class="external-link">ArithmeticException</a></code> - if the result overflows.</dd>
 <dt>Since:</dt>
 <dd>1.4</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="#divide(org.apache.sis.math.Fraction)"><code>divide(Fraction)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="negate()">
 <h3>negate</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">negate</span>()</div>
 <div class="block">Returns the negative value of this fraction.
  This method does not simplify the fraction.</div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd>the result of <code>-this</code>.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/ArithmeticException.html" title="class or interface in java.lang" class="external-link">ArithmeticException</a></code> - if the result overflows.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="#subtract(org.apache.sis.math.Fraction)"><code>subtract(Fraction)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="add(org.apache.sis.math.Fraction)">
 <h3>add</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">add</span><wbr><span class="parameters">(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</span></div>
 <div class="block">Returns the simplified result of adding the given fraction to this fraction.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>other</code> - the fraction to add to this fraction.</dd>
 <dt>Returns:</dt>
 <dd>the simplified result of <code>this</code> + <code>other</code>.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/ArithmeticException.html" title="class or interface in java.lang" class="external-link">ArithmeticException</a></code> - if the result overflows.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="subtract(org.apache.sis.math.Fraction)">
 <h3>subtract</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">subtract</span><wbr><span class="parameters">(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</span></div>
 <div class="block">Returns the simplified result of subtracting the given fraction from this fraction.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>other</code> - the fraction to subtract from this fraction.</dd>
 <dt>Returns:</dt>
 <dd>the simplified result of <code>this</code> - <code>other</code>.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/ArithmeticException.html" title="class or interface in java.lang" class="external-link">ArithmeticException</a></code> - if the result overflows.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="#negate()"><code>negate()</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="multiply(org.apache.sis.math.Fraction)">
 <h3>multiply</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">multiply</span><wbr><span class="parameters">(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</span></div>
 <div class="block">Returns the simplified result of multiplying the given fraction with this fraction.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>other</code> - the fraction to multiply with this fraction.</dd>
 <dt>Returns:</dt>
 <dd>the simplified result of <code>this</code> × <code>other</code>.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/ArithmeticException.html" title="class or interface in java.lang" class="external-link">ArithmeticException</a></code> - if the result overflows.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="divide(org.apache.sis.math.Fraction)">
 <h3>divide</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a></span>&nbsp;<span class="element-name">divide</span><wbr><span class="parameters">(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</span></div>
 <div class="block">Returns the simplified result of dividing this fraction by the given fraction.</div>
 <dl class="notes">
 <dt>Parameters:</dt>
 <dd><code>other</code> - the fraction by which to divide this fraction.</dd>
 <dt>Returns:</dt>
 <dd>the simplified result of <code>this</code> ∕ <code>other</code>.</dd>
 <dt>Throws:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/ArithmeticException.html" title="class or interface in java.lang" class="external-link">ArithmeticException</a></code> - if the result overflows.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="#inverse()"><code>inverse()</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="round()">
 <h3>round</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">round</span>()</div>
 <div class="block">Returns this fraction rounded toward nearest integer. If the result is located
  at equal distance from the two nearest integers, then rounds to the even one.</div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd><a href="#numerator"><code>numerator</code></a> / <a href="#denominator"><code>denominator</code></a> rounded toward nearest integer.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="floor()">
 <h3>floor</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">floor</span>()</div>
 <div class="block">Returns this fraction rounded toward negative infinity.
  This is different from the default operation on primitive types, which rounds toward zero.

  <p><b>Tip:</b> if the numerator and the denominator are both positive or both negative,
  then the result is positive and identical to <code>numerator / denominator</code>.</p></div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd><a href="#numerator"><code>numerator</code></a> / <a href="#denominator"><code>denominator</code></a> rounded toward negative infinity.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="ceil()">
 <h3>ceil</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">ceil</span>()</div>
 <div class="block">Returns this fraction rounded toward positive infinity.
  This is different from the default operation on primitive types, which rounds toward zero.</div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd><a href="#numerator"><code>numerator</code></a> / <a href="#denominator"><code>denominator</code></a> rounded toward positive infinity.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="doubleValue()">
 <h3>doubleValue</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">double</span>&nbsp;<span class="element-name">doubleValue</span>()</div>
 <div class="block">Returns the fraction as a double-precision floating point number.
  Special cases:

  <ul>
    <li>If the <a href="#numerator">numerator</a> and the <a href="#denominator">denominator</a> are both 0,
        then this method returns <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Double.html#NaN" title="class or interface in java.lang" class="external-link"><code>Double.NaN</code></a>.</li>
    <li>If only the <a href="#denominator">denominator</a> is zero, then this method returns
        <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Double.html#POSITIVE_INFINITY" title="class or interface in java.lang" class="external-link">positive infinity</a> or
        <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Double.html#NEGATIVE_INFINITY" title="class or interface in java.lang" class="external-link">negative infinity</a> accordingly the <a href="#numerator">numerator</a> sign.</li>
  </ul></div>
 <dl class="notes">
 <dt>Specified by:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html#doubleValue()" title="class or interface in java.lang" class="external-link">doubleValue</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html" title="class or interface in java.lang" class="external-link">Number</a></code></dd>
 <dt>Returns:</dt>
 <dd>this fraction as a floating point number.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="floatValue()">
 <h3>floatValue</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">float</span>&nbsp;<span class="element-name">floatValue</span>()</div>
 <div class="block">Returns the fraction as a single-precision floating point number.
  Special cases:

  <ul>
    <li>If the <a href="#numerator">numerator</a> and the <a href="#denominator">denominator</a> are both 0,
        then this method returns <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Float.html#NaN" title="class or interface in java.lang" class="external-link"><code>Float.NaN</code></a>.</li>
    <li>If only the <a href="#denominator">denominator</a> is zero, then this method returns
        <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Float.html#POSITIVE_INFINITY" title="class or interface in java.lang" class="external-link">positive infinity</a> or
        <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Float.html#NEGATIVE_INFINITY" title="class or interface in java.lang" class="external-link">negative infinity</a> accordingly the <a href="#numerator">numerator</a> sign.</li>
  </ul></div>
 <dl class="notes">
 <dt>Specified by:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html#floatValue()" title="class or interface in java.lang" class="external-link">floatValue</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html" title="class or interface in java.lang" class="external-link">Number</a></code></dd>
 <dt>Returns:</dt>
 <dd>this fraction as a floating point number.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="longValue()">
 <h3>longValue</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">long</span>&nbsp;<span class="element-name">longValue</span>()</div>
 <div class="block">Returns this fraction rounded toward zero.
  If the fraction value <a href="#isNaN()">is NaN</a>, then this method returns 0.
  If the fraction value is positive or negative infinity, then this method returns
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Long.html#MAX_VALUE" title="class or interface in java.lang" class="external-link"><code>Long.MAX_VALUE</code></a> or <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Long.html#MIN_VALUE" title="class or interface in java.lang" class="external-link"><code>Long.MIN_VALUE</code></a> respectively.</div>
 <dl class="notes">
 <dt>Specified by:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html#longValue()" title="class or interface in java.lang" class="external-link">longValue</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html" title="class or interface in java.lang" class="external-link">Number</a></code></dd>
 <dt>Returns:</dt>
 <dd>this fraction rounded toward zero.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="intValue()">
 <h3>intValue</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">intValue</span>()</div>
 <div class="block">Returns this fraction rounded toward zero.
  If the fraction value <a href="#isNaN()">is NaN</a>, then this method returns 0.
  If the fraction value is positive or negative infinity, then this method returns
  <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Integer.html#MAX_VALUE" title="class or interface in java.lang" class="external-link"><code>Integer.MAX_VALUE</code></a> or <a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Integer.html#MIN_VALUE" title="class or interface in java.lang" class="external-link"><code>Integer.MIN_VALUE</code></a> respectively.</div>
 <dl class="notes">
 <dt>Specified by:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html#intValue()" title="class or interface in java.lang" class="external-link">intValue</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Number.html" title="class or interface in java.lang" class="external-link">Number</a></code></dd>
 <dt>Returns:</dt>
 <dd><a href="#numerator"><code>numerator</code></a> / <a href="#denominator"><code>denominator</code></a> rounded toward zero.</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="#round()"><code>round()</code></a></li>
 <li><a href="#floor()"><code>floor()</code></a></li>
 <li><a href="#ceil()"><code>ceil()</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="isNaN()">
 <h3>isNaN</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">boolean</span>&nbsp;<span class="element-name">isNaN</span>()</div>
 <div class="block">Returns <code>true</code> if the numerator and denominator are both zero.</div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd>whether this fraction is 0/0.</dd>
 <dt>Since:</dt>
 <dd>1.4</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="signum()">
 <h3>signum</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">signum</span>()</div>
 <div class="block">Returns the sign of this fraction. The return value is -1 if this fraction is negative;
  0 if the numerator is zero; and 1 if this fraction is positive.</div>
 <dl class="notes">
 <dt>Returns:</dt>
 <dd>the sign of this fraction.</dd>
 <dt>Since:</dt>
 <dd>1.0</dd>
 <dt>See Also:</dt>
 <dd>
 <ul class="tag-list">
 <li><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Integer.html#signum(int)" title="class or interface in java.lang" class="external-link"><code>Integer.signum(int)</code></a></li>
 </ul>
 </dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="compareTo(org.apache.sis.math.Fraction)">
 <h3>compareTo</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">compareTo</span><wbr><span class="parameters">(<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&nbsp;other)</span></div>
 <div class="block">Compares this fraction with the given one for order.</div>
 <dl class="notes">
 <dt>Specified by:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Comparable.html#compareTo(T)" title="class or interface in java.lang" class="external-link">compareTo</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Comparable.html" title="class or interface in java.lang" class="external-link">Comparable</a>&lt;<a href="Fraction.html" title="class in org.apache.sis.math">Fraction</a>&gt;</code></dd>
 <dt>Parameters:</dt>
 <dd><code>other</code> - the fraction to compare to this fraction for ordering.</dd>
 <dt>Returns:</dt>
 <dd>a negative number if this fraction is smaller than the given fraction,
          a positive number if greater, or 0 if equals.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="equals(java.lang.Object)">
 <h3>equals</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">boolean</span>&nbsp;<span class="element-name">equals</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a>&nbsp;other)</span></div>
 <div class="block">Compares this fraction with the given object for equality. This method returns <code>true</code> only if
  the two objects are fractions with same <a href="#numerator">numerator</a> and <a href="#denominator">denominator</a> values.
  Fractions with different values are not considered equal even if the two fraction are equivalent.</div>
 <dl class="notes">
 <dt>Overrides:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#equals(java.lang.Object)" title="class or interface in java.lang" class="external-link">equals</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a></code></dd>
 <dt>Parameters:</dt>
 <dd><code>other</code> - the object to compare with this fraction for equality.</dd>
 <dt>Returns:</dt>
 <dd><code>true</code> if the given object is another fraction with the same numerator and denominator values.</dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="hashCode()">
 <h3>hashCode</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">hashCode</span>()</div>
 <div class="block">Returns a hash code value for this fraction.</div>
 <dl class="notes">
 <dt>Overrides:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#hashCode()" title="class or interface in java.lang" class="external-link">hashCode</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a></code></dd>
 </dl>
 </section>
 </li>
 <li>
 <section class="detail" id="toString()">
 <h3>toString</h3>
 <div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/String.html" title="class or interface in java.lang" class="external-link">String</a></span>&nbsp;<span class="element-name">toString</span>()</div>
 <div class="block">Returns a string representation of this fraction.
  This method returns Unicode symbol if possible.</div>
 <dl class="notes">
 <dt>Overrides:</dt>
 <dd><code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html#toString()" title="class or interface in java.lang" class="external-link">toString</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a></code></dd>
 <dt>Returns:</dt>
 <dd>a string representation of this fraction.</dd>
 </dl>
 </section>
 </li>
 </ul>
 </section>
 </li>
 </ul>
 </section>
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