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diff --git a/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/complex/Quaternion.html b/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/complex/Quaternion.html new file mode 100644 index 0000000..5922902 --- /dev/null +++ b/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/complex/Quaternion.html @@ -0,0 +1,895 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<!-- NewPage --> +<html lang="en"> +<head> +<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> +<title>Quaternion (Apache Commons Math 3.6.1 API)</title> +<link rel="stylesheet" type="text/css" href="../../../../../stylesheet.css" title="Style"> +</head> +<body> +<script type="text/javascript"><!-- + if (location.href.indexOf('is-external=true') == -1) { + parent.document.title="Quaternion (Apache Commons Math 3.6.1 API)"; + } +//--> +</script> +<noscript> +<div>JavaScript is disabled on your browser.</div> +</noscript> +<!-- 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+<li>Summary: </li> +<li>Nested | </li> +<li><a href="#field_summary">Field</a> | </li> +<li><a href="#constructor_summary">Constr</a> | </li> +<li><a href="#method_summary">Method</a></li> +</ul> +<ul class="subNavList"> +<li>Detail: </li> +<li><a href="#field_detail">Field</a> | </li> +<li><a href="#constructor_detail">Constr</a> | </li> +<li><a href="#method_detail">Method</a></li> +</ul> +</div> +<a name="skip-navbar_top"> +<!-- --> +</a></div> +<!-- ========= END OF TOP NAVBAR ========= --> +<!-- ======== START OF CLASS DATA ======== --> +<div class="header"> +<div class="subTitle">org.apache.commons.math3.complex</div> +<h2 title="Class Quaternion" class="title">Class Quaternion</h2> +</div> +<div class="contentContainer"> +<ul class="inheritance"> +<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li> +<li> +<ul class="inheritance"> +<li>org.apache.commons.math3.complex.Quaternion</li> +</ul> +</li> +</ul> +<div class="description"> +<ul class="blockList"> +<li class="blockList"> +<dl> +<dt>All Implemented Interfaces:</dt> +<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a></dd> +</dl> +<hr> +<br> +<pre>public final class <span class="strong">Quaternion</span> +extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a> +implements <a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a></pre> +<div class="block">This class implements <a href="http://mathworld.wolfram.com/Quaternion.html"> + quaternions</a> (Hamilton's hypercomplex numbers). + <br/> + Instance of this class are guaranteed to be immutable.</div> +<dl><dt><span class="strong">Since:</span></dt> + <dd>3.1</dd> +<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../serialized-form.html#org.apache.commons.math3.complex.Quaternion">Serialized Form</a></dd></dl> +</li> +</ul> +</div> +<div class="summary"> +<ul class="blockList"> +<li class="blockList"> +<!-- =========== FIELD SUMMARY =========== --> +<ul class="blockList"> +<li class="blockList"><a name="field_summary"> +<!-- --> +</a> +<h3>Field Summary</h3> +<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation"> +<caption><span>Fields</span><span class="tabEnd"> </span></caption> +<tr> +<th class="colFirst" scope="col">Modifier and Type</th> +<th class="colLast" scope="col">Field and Description</th> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#I">I</a></strong></code> +<div class="block">i</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#IDENTITY">IDENTITY</a></strong></code> +<div class="block">Identity quaternion.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#J">J</a></strong></code> +<div class="block">j</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#K">K</a></strong></code> +<div class="block">k</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#ZERO">ZERO</a></strong></code> +<div class="block">Zero quaternion.</div> +</td> +</tr> +</table> +</li> +</ul> +<!-- ======== CONSTRUCTOR SUMMARY ======== --> +<ul class="blockList"> +<li class="blockList"><a name="constructor_summary"> +<!-- --> +</a> +<h3>Constructor Summary</h3> +<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> +<caption><span>Constructors</span><span class="tabEnd"> </span></caption> +<tr> +<th class="colOne" scope="col">Constructor and Description</th> +</tr> +<tr class="altColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#Quaternion(double[])">Quaternion</a></strong>(double[] v)</code> +<div class="block">Builds a pure quaternion from a vector (assuming that the scalar + part is zero).</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#Quaternion(double,%20double[])">Quaternion</a></strong>(double scalar, + double[] v)</code> +<div class="block">Builds a quaternion from scalar and vector parts.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#Quaternion(double,%20double,%20double,%20double)">Quaternion</a></strong>(double a, + double b, + double c, + double d)</code> +<div class="block">Builds a quaternion from its components.</div> +</td> +</tr> +</table> +</li> +</ul> +<!-- ========== METHOD SUMMARY =========== --> +<ul class="blockList"> +<li class="blockList"><a name="method_summary"> +<!-- --> +</a> +<h3>Method Summary</h3> +<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation"> +<caption><span>Methods</span><span class="tabEnd"> </span></caption> +<tr> +<th class="colFirst" scope="col">Modifier and Type</th> +<th class="colLast" scope="col">Method and Description</th> +</tr> +<tr class="altColor"> +<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#add(org.apache.commons.math3.complex.Quaternion)">add</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q)</code> +<div class="block">Computes the sum of the instance and another quaternion.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#add(org.apache.commons.math3.complex.Quaternion,%20org.apache.commons.math3.complex.Quaternion)">add</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q1, + <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q2)</code> +<div class="block">Computes the sum of two quaternions.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#dotProduct(org.apache.commons.math3.complex.Quaternion)">dotProduct</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q)</code> +<div class="block">Computes the dot-product of the instance by a quaternion.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>static double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#dotProduct(org.apache.commons.math3.complex.Quaternion,%20org.apache.commons.math3.complex.Quaternion)">dotProduct</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q1, + <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q2)</code> +<div class="block">Computes the dot-product of two quaternions.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>boolean</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#equals(java.lang.Object)">equals</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a> other)</code></td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>boolean</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#equals(org.apache.commons.math3.complex.Quaternion,%20double)">equals</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q, + double eps)</code> +<div class="block">Checks whether this instance is equal to another quaternion + within a given tolerance.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getConjugate()">getConjugate</a></strong>()</code> +<div class="block">Returns the conjugate quaternion of the instance.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getInverse()">getInverse</a></strong>()</code> +<div class="block">Returns the inverse of this instance.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getNorm()">getNorm</a></strong>()</code> +<div class="block">Computes the norm of the quaternion.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getPositivePolarForm()">getPositivePolarForm</a></strong>()</code> +<div class="block">Returns the polar form of the quaternion.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getQ0()">getQ0</a></strong>()</code> +<div class="block">Gets the first component of the quaternion (scalar part).</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getQ1()">getQ1</a></strong>()</code> +<div class="block">Gets the second component of the quaternion (first component + of the vector part).</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getQ2()">getQ2</a></strong>()</code> +<div class="block">Gets the third component of the quaternion (second component + of the vector part).</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getQ3()">getQ3</a></strong>()</code> +<div class="block">Gets the fourth component of the quaternion (third component + of the vector part).</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getScalarPart()">getScalarPart</a></strong>()</code> +<div class="block">Gets the scalar part of the quaternion.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>double[]</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getVectorPart()">getVectorPart</a></strong>()</code> +<div class="block">Gets the three components of the vector part of the quaternion.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>int</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#hashCode()">hashCode</a></strong>()</code></td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>boolean</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#isPureQuaternion(double)">isPureQuaternion</a></strong>(double eps)</code> +<div class="block">Checks whether the instance is a pure quaternion within a given + tolerance.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>boolean</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#isUnitQuaternion(double)">isUnitQuaternion</a></strong>(double eps)</code> +<div class="block">Checks whether the instance is a unit quaternion within a given + tolerance.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#multiply(double)">multiply</a></strong>(double alpha)</code> +<div class="block">Multiplies the instance by a scalar.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#multiply(org.apache.commons.math3.complex.Quaternion)">multiply</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q)</code> +<div class="block">Returns the Hamilton product of the instance by a quaternion.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#multiply(org.apache.commons.math3.complex.Quaternion,%20org.apache.commons.math3.complex.Quaternion)">multiply</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q1, + <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q2)</code> +<div class="block">Returns the Hamilton product of two quaternions.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#normalize()">normalize</a></strong>()</code> +<div class="block">Computes the normalized quaternion (the versor of the instance).</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#subtract(org.apache.commons.math3.complex.Quaternion)">subtract</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q)</code> +<div class="block">Subtracts a quaternion from the instance.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#subtract(org.apache.commons.math3.complex.Quaternion,%20org.apache.commons.math3.complex.Quaternion)">subtract</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q1, + <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q2)</code> +<div class="block">Subtracts two quaternions.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#toString()">toString</a></strong>()</code></td> +</tr> +</table> +<ul class="blockList"> +<li class="blockList"><a name="methods_inherited_from_class_java.lang.Object"> +<!-- --> +</a> +<h3>Methods inherited from class java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> +<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li> +</ul> +</li> +</ul> +</li> +</ul> +</div> +<div class="details"> +<ul class="blockList"> +<li class="blockList"> +<!-- ============ FIELD DETAIL =========== --> +<ul class="blockList"> +<li class="blockList"><a name="field_detail"> +<!-- --> +</a> +<h3>Field Detail</h3> +<a name="IDENTITY"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>IDENTITY</h4> +<pre>public static final <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> IDENTITY</pre> +<div class="block">Identity quaternion.</div> +</li> +</ul> +<a name="ZERO"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>ZERO</h4> +<pre>public static final <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> ZERO</pre> +<div class="block">Zero quaternion.</div> +</li> +</ul> +<a name="I"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>I</h4> +<pre>public static final <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> I</pre> +<div class="block">i</div> +</li> +</ul> +<a name="J"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>J</h4> +<pre>public static final <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> J</pre> +<div class="block">j</div> +</li> +</ul> +<a name="K"> +<!-- --> +</a> +<ul class="blockListLast"> +<li class="blockList"> +<h4>K</h4> +<pre>public static final <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> K</pre> +<div class="block">k</div> +</li> +</ul> +</li> +</ul> +<!-- ========= CONSTRUCTOR DETAIL ======== --> +<ul class="blockList"> +<li class="blockList"><a name="constructor_detail"> +<!-- --> +</a> +<h3>Constructor Detail</h3> +<a name="Quaternion(double, double, double, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>Quaternion</h4> +<pre>public Quaternion(double a, + double b, + double c, + double d)</pre> +<div class="block">Builds a quaternion from its components.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - Scalar component.</dd><dd><code>b</code> - First vector component.</dd><dd><code>c</code> - Second vector component.</dd><dd><code>d</code> - Third vector component.</dd></dl> +</li> +</ul> +<a name="Quaternion(double, double[])"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>Quaternion</h4> +<pre>public Quaternion(double scalar, + double[] v) + throws <a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre> +<div class="block">Builds a quaternion from scalar and vector parts.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>scalar</code> - Scalar part of the quaternion.</dd><dd><code>v</code> - Components of the vector part of the quaternion.</dd> +<dt><span class="strong">Throws:</span></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the array length is not 3.</dd></dl> +</li> +</ul> +<a name="Quaternion(double[])"> +<!-- --> +</a> +<ul class="blockListLast"> +<li class="blockList"> +<h4>Quaternion</h4> +<pre>public Quaternion(double[] v)</pre> +<div class="block">Builds a pure quaternion from a vector (assuming that the scalar + part is zero).</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - Components of the vector part of the pure quaternion.</dd></dl> +</li> +</ul> +</li> +</ul> +<!-- ============ METHOD DETAIL ========== --> +<ul class="blockList"> +<li class="blockList"><a name="method_detail"> +<!-- --> +</a> +<h3>Method Detail</h3> +<a name="getConjugate()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getConjugate</h4> +<pre>public <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> getConjugate()</pre> +<div class="block">Returns the conjugate quaternion of the instance.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the conjugate quaternion</dd></dl> +</li> +</ul> +<a name="multiply(org.apache.commons.math3.complex.Quaternion, org.apache.commons.math3.complex.Quaternion)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>multiply</h4> +<pre>public static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> multiply(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q1, + <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q2)</pre> +<div class="block">Returns the Hamilton product of two quaternions.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q1</code> - First quaternion.</dd><dd><code>q2</code> - Second quaternion.</dd> +<dt><span class="strong">Returns:</span></dt><dd>the product <code>q1</code> and <code>q2</code>, in that order.</dd></dl> +</li> +</ul> +<a name="multiply(org.apache.commons.math3.complex.Quaternion)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>multiply</h4> +<pre>public <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> multiply(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q)</pre> +<div class="block">Returns the Hamilton product of the instance by a quaternion.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q</code> - Quaternion.</dd> +<dt><span class="strong">Returns:</span></dt><dd>the product of this instance with <code>q</code>, in that order.</dd></dl> +</li> +</ul> +<a name="add(org.apache.commons.math3.complex.Quaternion, org.apache.commons.math3.complex.Quaternion)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>add</h4> +<pre>public static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> add(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q1, + <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q2)</pre> +<div class="block">Computes the sum of two quaternions.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q1</code> - Quaternion.</dd><dd><code>q2</code> - Quaternion.</dd> +<dt><span class="strong">Returns:</span></dt><dd>the sum of <code>q1</code> and <code>q2</code>.</dd></dl> +</li> +</ul> +<a name="add(org.apache.commons.math3.complex.Quaternion)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>add</h4> +<pre>public <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> add(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q)</pre> +<div class="block">Computes the sum of the instance and another quaternion.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q</code> - Quaternion.</dd> +<dt><span class="strong">Returns:</span></dt><dd>the sum of this instance and <code>q</code></dd></dl> +</li> +</ul> +<a name="subtract(org.apache.commons.math3.complex.Quaternion, org.apache.commons.math3.complex.Quaternion)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>subtract</h4> +<pre>public static <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> subtract(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q1, + <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q2)</pre> +<div class="block">Subtracts two quaternions.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q1</code> - First Quaternion.</dd><dd><code>q2</code> - Second quaternion.</dd> +<dt><span class="strong">Returns:</span></dt><dd>the difference between <code>q1</code> and <code>q2</code>.</dd></dl> +</li> +</ul> +<a name="subtract(org.apache.commons.math3.complex.Quaternion)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>subtract</h4> +<pre>public <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> subtract(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q)</pre> +<div class="block">Subtracts a quaternion from the instance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q</code> - Quaternion.</dd> +<dt><span class="strong">Returns:</span></dt><dd>the difference between this instance and <code>q</code>.</dd></dl> +</li> +</ul> +<a name="dotProduct(org.apache.commons.math3.complex.Quaternion, org.apache.commons.math3.complex.Quaternion)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>dotProduct</h4> +<pre>public static double dotProduct(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q1, + <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q2)</pre> +<div class="block">Computes the dot-product of two quaternions.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q1</code> - Quaternion.</dd><dd><code>q2</code> - Quaternion.</dd> +<dt><span class="strong">Returns:</span></dt><dd>the dot product of <code>q1</code> and <code>q2</code>.</dd></dl> +</li> +</ul> +<a name="dotProduct(org.apache.commons.math3.complex.Quaternion)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>dotProduct</h4> +<pre>public double dotProduct(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q)</pre> +<div class="block">Computes the dot-product of the instance by a quaternion.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q</code> - Quaternion.</dd> +<dt><span class="strong">Returns:</span></dt><dd>the dot product of this instance and <code>q</code>.</dd></dl> +</li> +</ul> +<a name="getNorm()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getNorm</h4> +<pre>public double getNorm()</pre> +<div class="block">Computes the norm of the quaternion.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the norm.</dd></dl> +</li> +</ul> +<a name="normalize()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>normalize</h4> +<pre>public <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> normalize()</pre> +<div class="block">Computes the normalized quaternion (the versor of the instance). + The norm of the quaternion must not be zero.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>a normalized quaternion.</dd> +<dt><span class="strong">Throws:</span></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code> - if the norm of the quaternion is zero.</dd></dl> +</li> +</ul> +<a name="equals(java.lang.Object)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>equals</h4> +<pre>public boolean equals(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a> other)</pre> +<dl> +<dt><strong>Overrides:</strong></dt> +<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a></code> in class <code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd> +</dl> +</li> +</ul> +<a name="hashCode()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>hashCode</h4> +<pre>public int hashCode()</pre> +<dl> +<dt><strong>Overrides:</strong></dt> +<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a></code> in class <code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd> +</dl> +</li> +</ul> +<a name="equals(org.apache.commons.math3.complex.Quaternion, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>equals</h4> +<pre>public boolean equals(<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> q, + double eps)</pre> +<div class="block">Checks whether this instance is equal to another quaternion + within a given tolerance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>q</code> - Quaternion with which to compare the current quaternion.</dd><dd><code>eps</code> - Tolerance.</dd> +<dt><span class="strong">Returns:</span></dt><dd><code>true</code> if the each of the components are equal + within the allowed absolute error.</dd></dl> +</li> +</ul> +<a name="isUnitQuaternion(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>isUnitQuaternion</h4> +<pre>public boolean isUnitQuaternion(double eps)</pre> +<div class="block">Checks whether the instance is a unit quaternion within a given + tolerance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>eps</code> - Tolerance (absolute error).</dd> +<dt><span class="strong">Returns:</span></dt><dd><code>true</code> if the norm is 1 within the given tolerance, + <code>false</code> otherwise</dd></dl> +</li> +</ul> +<a name="isPureQuaternion(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>isPureQuaternion</h4> +<pre>public boolean isPureQuaternion(double eps)</pre> +<div class="block">Checks whether the instance is a pure quaternion within a given + tolerance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>eps</code> - Tolerance (absolute error).</dd> +<dt><span class="strong">Returns:</span></dt><dd><code>true</code> if the scalar part of the quaternion is zero.</dd></dl> +</li> +</ul> +<a name="getPositivePolarForm()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getPositivePolarForm</h4> +<pre>public <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> getPositivePolarForm()</pre> +<div class="block">Returns the polar form of the quaternion.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the unit quaternion with positive scalar part.</dd></dl> +</li> +</ul> +<a name="getInverse()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getInverse</h4> +<pre>public <a href="../../../../../org/apache/commons/math3/complex/Quaternion.html" title="class in org.apache.commons.math3.complex">Quaternion</a> getInverse()</pre> +<div class="block">Returns the inverse of this instance. + The norm of the quaternion must not be zero.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the inverse.</dd> +<dt><span class="strong">Throws:</span></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code> - if the norm (squared) of the quaternion is zero.</dd></dl> +</li> +</ul> +<a name="getQ0()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getQ0</h4> +<pre>public double getQ0()</pre> +<div class="block">Gets the first component of the quaternion (scalar part).</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the scalar part.</dd></dl> +</li> +</ul> +<a name="getQ1()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getQ1</h4> +<pre>public double getQ1()</pre> +<div class="block">Gets the second component of the quaternion (first component + of the vector part).</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the first component of the vector part.</dd></dl> +</li> +</ul> +<a name="getQ2()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getQ2</h4> +<pre>public double getQ2()</pre> +<div class="block">Gets the third component of the quaternion (second component + of the vector part).</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the second component of the vector part.</dd></dl> +</li> +</ul> +<a name="getQ3()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getQ3</h4> +<pre>public double getQ3()</pre> +<div class="block">Gets the fourth component of the quaternion (third component + of the vector part).</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the third component of the vector part.</dd></dl> +</li> +</ul> +<a name="getScalarPart()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getScalarPart</h4> +<pre>public double getScalarPart()</pre> +<div class="block">Gets the scalar part of the quaternion.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the scalar part.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getQ0()"><code>getQ0()</code></a></dd></dl> +</li> +</ul> +<a name="getVectorPart()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getVectorPart</h4> +<pre>public double[] getVectorPart()</pre> +<div class="block">Gets the three components of the vector part of the quaternion.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the vector part.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getQ1()"><code>getQ1()</code></a>, +<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getQ2()"><code>getQ2()</code></a>, +<a href="../../../../../org/apache/commons/math3/complex/Quaternion.html#getQ3()"><code>getQ3()</code></a></dd></dl> +</li> +</ul> 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or interface in java.lang">toString</a></code> in class <code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd> +</dl> +</li> +</ul> +</li> +</ul> +</li> +</ul> +</div> +</div> +<!-- ========= END OF CLASS DATA ========= --> +<!-- ======= START OF BOTTOM NAVBAR ====== --> +<div class="bottomNav"><a name="navbar_bottom"> +<!-- --> +</a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> +<!-- --> +</a> +<ul class="navList" title="Navigation"> +<li><a href="../../../../../overview-summary.html">Overview</a></li> +<li><a href="package-summary.html">Package</a></li> +<li class="navBarCell1Rev">Class</li> +<li><a href="class-use/Quaternion.html">Use</a></li> +<li><a href="package-tree.html">Tree</a></li> +<li><a href="../../../../../deprecated-list.html">Deprecated</a></li> +<li><a href="../../../../../index-all.html">Index</a></li> +<li><a 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