238 lines
34 KiB
HTML
238 lines
34 KiB
HTML
<html>
|
|
<head>
|
|
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
|
|
<title>Quaternion Member Functions</title>
|
|
<link rel="stylesheet" href="../math.css" type="text/css">
|
|
<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
|
|
<link rel="home" href="../index.html" title="Math Toolkit 2.11.0">
|
|
<link rel="up" href="../quaternions.html" title="Chapter 15. Quaternions">
|
|
<link rel="prev" href="mem_typedef.html" title="Quaternion Member Typedefs">
|
|
<link rel="next" href="quat_non_mem.html" title="Quaternion Non-Member Operators">
|
|
</head>
|
|
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
|
|
<table cellpadding="2" width="100%"><tr>
|
|
<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../boost.png"></td>
|
|
<td align="center"><a href="../../../../../index.html">Home</a></td>
|
|
<td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td>
|
|
<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td>
|
|
<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td>
|
|
<td align="center"><a href="../../../../../more/index.htm">More</a></td>
|
|
</tr></table>
|
|
<hr>
|
|
<div class="spirit-nav">
|
|
<a accesskey="p" href="mem_typedef.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../quaternions.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="quat_non_mem.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
|
|
</div>
|
|
<div class="section">
|
|
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
|
|
<a name="math_toolkit.quat_mem_fun"></a><a class="link" href="quat_mem_fun.html" title="Quaternion Member Functions">Quaternion Member Functions</a>
|
|
</h2></div></div></div>
|
|
<h4>
|
|
<a name="math_toolkit.quat_mem_fun.h0"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.constructors"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.constructors">Constructors</a>
|
|
</h4>
|
|
<p>
|
|
Template version:
|
|
</p>
|
|
<pre class="programlisting"><span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="identifier">T</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_a</span> <span class="special">=</span> <span class="identifier">T</span><span class="special">(),</span> <span class="identifier">T</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_b</span> <span class="special">=</span> <span class="identifier">T</span><span class="special">(),</span> <span class="identifier">T</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_c</span> <span class="special">=</span> <span class="identifier">T</span><span class="special">(),</span> <span class="identifier">T</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_d</span> <span class="special">=</span> <span class="identifier">T</span><span class="special">());</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">z0</span><span class="special">,</span> <span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">z1</span> <span class="special">=</span> <span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">>());</span>
|
|
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> <span class="identifier">X</span><span class="special">></span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">X</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">a_recopier</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
Float specialization version:
|
|
</p>
|
|
<pre class="programlisting"><span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="keyword">float</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_a</span> <span class="special">=</span> <span class="number">0.0f</span><span class="special">,</span> <span class="keyword">float</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_b</span> <span class="special">=</span> <span class="number">0.0f</span><span class="special">,</span> <span class="keyword">float</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_c</span> <span class="special">=</span> <span class="number">0.0f</span><span class="special">,</span> <span class="keyword">float</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_d</span> <span class="special">=</span> <span class="number">0.0f</span><span class="special">);</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">float</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">z0</span><span class="special">,::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">float</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">z1</span> <span class="special">=</span> <span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">float</span><span class="special">>());</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">a_recopier</span><span class="special">);</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">a_recopier</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
Double specialization version:
|
|
</p>
|
|
<pre class="programlisting"><span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="keyword">double</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_a</span> <span class="special">=</span> <span class="number">0.0</span><span class="special">,</span> <span class="keyword">double</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_b</span> <span class="special">=</span> <span class="number">0.0</span><span class="special">,</span> <span class="keyword">double</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_c</span> <span class="special">=</span> <span class="number">0.0</span><span class="special">,</span> <span class="keyword">double</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_d</span> <span class="special">=</span> <span class="number">0.0</span><span class="special">);</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">z0</span><span class="special">,</span> <span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">z1</span> <span class="special">=</span> <span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">double</span><span class="special">>());</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="keyword">float</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">a_recopier</span><span class="special">);</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">a_recopier</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
Long double specialization version:
|
|
</p>
|
|
<pre class="programlisting"><span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="keyword">long</span> <span class="keyword">double</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_a</span> <span class="special">=</span> <span class="number">0.0L</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_b</span> <span class="special">=</span> <span class="number">0.0L</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_c</span> <span class="special">=</span> <span class="number">0.0L</span><span class="special">,</span> <span class="keyword">long</span> <span class="keyword">double</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">requested_d</span> <span class="special">=</span> <span class="number">0.0L</span><span class="special">);</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span> <span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">z0</span><span class="special">,</span> <span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">z1</span> <span class="special">=</span> <span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">>());</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="keyword">float</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">a_recopier</span><span class="special">);</span>
|
|
<span class="keyword">explicit</span> <span class="identifier">quaternion</span><span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">a_recopier</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
A default constructor is provided for each form, which initializes each component
|
|
to the default values for their type (i.e. zero for floating numbers). This
|
|
constructor can also accept one to four base type arguments. A constructor
|
|
is also provided to build quaternions from one or two complex numbers sharing
|
|
the same base type. The unspecialized template also sports a templarized copy
|
|
constructor, while the specialized forms have copy constructors from the other
|
|
two specializations, which are explicit when a risk of precision loss exists.
|
|
For the unspecialized form, the base type's constructors must not throw.
|
|
</p>
|
|
<p>
|
|
Destructors and untemplated copy constructors (from the same type) are provided
|
|
by the compiler. Converting copy constructors make use of a templated helper
|
|
function in a "detail" subnamespace.
|
|
</p>
|
|
<h4>
|
|
<a name="math_toolkit.quat_mem_fun.h1"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.other_member_functions"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.other_member_functions">Other
|
|
member functions</a>
|
|
</h4>
|
|
<h5>
|
|
<a name="math_toolkit.quat_mem_fun.h2"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.real_and_unreal_parts"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.real_and_unreal_parts">Real
|
|
and Unreal Parts</a>
|
|
</h5>
|
|
<pre class="programlisting"><span class="identifier">T</span> <span class="identifier">real</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">unreal</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
|
|
</pre>
|
|
<p>
|
|
Like complex number, quaternions do have a meaningful notion of "real
|
|
part", but unlike them there is no meaningful notion of "imaginary
|
|
part". Instead there is an "unreal part" which itself is a quaternion,
|
|
and usually nothing simpler (as opposed to the complex number case). These
|
|
are returned by the first two functions.
|
|
</p>
|
|
<h5>
|
|
<a name="math_toolkit.quat_mem_fun.h3"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.individual_real_components"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.individual_real_components">Individual
|
|
Real Components</a>
|
|
</h5>
|
|
<pre class="programlisting"><span class="identifier">T</span> <span class="identifier">R_component_1</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
|
|
<span class="identifier">T</span> <span class="identifier">R_component_2</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
|
|
<span class="identifier">T</span> <span class="identifier">R_component_3</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
|
|
<span class="identifier">T</span> <span class="identifier">R_component_4</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
|
|
</pre>
|
|
<p>
|
|
A quaternion having four real components, these are returned by these four
|
|
functions. Hence real and R_component_1 return the same value.
|
|
</p>
|
|
<h5>
|
|
<a name="math_toolkit.quat_mem_fun.h4"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.individual_complex_components"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.individual_complex_components">Individual
|
|
Complex Components</a>
|
|
</h5>
|
|
<pre class="programlisting"><span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">C_component_1</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
|
|
<span class="special">::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">C_component_2</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
|
|
</pre>
|
|
<p>
|
|
A quaternion likewise has two complex components, and as we have seen above,
|
|
for any quaternion <span class="emphasis"><em><code class="literal">q = α + βi + γj + δk</code></em></span> we also have
|
|
<span class="emphasis"><em><code class="literal">q = (α + βi) + (γ + δi)j </code></em></span>. These functions return them.
|
|
The real part of <code class="computeroutput"><span class="identifier">q</span><span class="special">.</span><span class="identifier">C_component_1</span><span class="special">()</span></code>
|
|
is the same as <code class="computeroutput"><span class="identifier">q</span><span class="special">.</span><span class="identifier">real</span><span class="special">()</span></code>.
|
|
</p>
|
|
<h4>
|
|
<a name="math_toolkit.quat_mem_fun.h5"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.quaternion_member_operators"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.quaternion_member_operators">Quaternion
|
|
Member Operators</a>
|
|
</h4>
|
|
<h5>
|
|
<a name="math_toolkit.quat_mem_fun.h6"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.assignment_operators"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.assignment_operators">Assignment
|
|
Operators</a>
|
|
</h5>
|
|
<pre class="programlisting"><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">=</span> <span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">a_affecter</span><span class="special">);</span>
|
|
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> <span class="identifier">X</span><span class="special">></span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">=</span> <span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">X</span><span class="special">></span> <span class="keyword">const</span><span class="special">&</span> <span class="identifier">a_affecter</span><span class="special">);</span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">=</span> <span class="special">(</span><span class="identifier">T</span> <span class="keyword">const</span><span class="special">&</span> <span class="identifier">a_affecter</span><span class="special">);</span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">=</span> <span class="special">(::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="keyword">const</span><span class="special">&</span> <span class="identifier">a_affecter</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
These perform the expected assignment, with type modification if necessary
|
|
(for instance, assigning from a base type will set the real part to that value,
|
|
and all other components to zero). For the unspecialized form, the base type's
|
|
assignment operators must not throw.
|
|
</p>
|
|
<h5>
|
|
<a name="math_toolkit.quat_mem_fun.h7"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.addition_operators"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.addition_operators">Addition
|
|
Operators</a>
|
|
</h5>
|
|
<pre class="programlisting"><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">+=</span> <span class="special">(</span><span class="identifier">T</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">)</span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">+=</span> <span class="special">(::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">);</span>
|
|
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> <span class="identifier">X</span><span class="special">></span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">+=</span> <span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">X</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
These perform the mathematical operation <code class="computeroutput"><span class="special">(*</span><span class="keyword">this</span><span class="special">)+</span><span class="identifier">rhs</span></code>
|
|
and store the result in <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>.
|
|
The unspecialized form has exception guards, which the specialized forms do
|
|
not, so as to insure exception safety. For the unspecialized form, the base
|
|
type's assignment operators must not throw.
|
|
</p>
|
|
<h5>
|
|
<a name="math_toolkit.quat_mem_fun.h8"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.subtraction_operators"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.subtraction_operators">Subtraction
|
|
Operators</a>
|
|
</h5>
|
|
<pre class="programlisting"><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">-=</span> <span class="special">(</span><span class="identifier">T</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">)</span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">-=</span> <span class="special">(::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">);</span>
|
|
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> <span class="identifier">X</span><span class="special">></span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">-=</span> <span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">X</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
These perform the mathematical operation <code class="computeroutput"><span class="special">(*</span><span class="keyword">this</span><span class="special">)-</span><span class="identifier">rhs</span></code>
|
|
and store the result in <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>.
|
|
The unspecialized form has exception guards, which the specialized forms do
|
|
not, so as to insure exception safety. For the unspecialized form, the base
|
|
type's assignment operators must not throw.
|
|
</p>
|
|
<h5>
|
|
<a name="math_toolkit.quat_mem_fun.h9"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.multiplication_operators"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.multiplication_operators">Multiplication
|
|
Operators</a>
|
|
</h5>
|
|
<pre class="programlisting"><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">*=</span> <span class="special">(</span><span class="identifier">T</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">)</span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">*=</span> <span class="special">(::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">);</span>
|
|
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> <span class="identifier">X</span><span class="special">></span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">*=</span> <span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">X</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
These perform the mathematical operation <code class="computeroutput"><span class="special">(*</span><span class="keyword">this</span><span class="special">)*</span><span class="identifier">rhs</span></code>
|
|
<span class="bold"><strong>in this order</strong></span> (order is important as multiplication
|
|
is not commutative for quaternions) and store the result in <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>. The unspecialized form has exception guards,
|
|
which the specialized forms do not, so as to insure exception safety. For the
|
|
unspecialized form, the base type's assignment operators must not throw.
|
|
</p>
|
|
<h5>
|
|
<a name="math_toolkit.quat_mem_fun.h10"></a>
|
|
<span class="phrase"><a name="math_toolkit.quat_mem_fun.division_operators"></a></span><a class="link" href="quat_mem_fun.html#math_toolkit.quat_mem_fun.division_operators">Division
|
|
Operators</a>
|
|
</h5>
|
|
<pre class="programlisting"><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">/=</span> <span class="special">(</span><span class="identifier">T</span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">)</span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">/=</span> <span class="special">(::</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">complex</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">);</span>
|
|
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> <span class="identifier">X</span><span class="special">></span>
|
|
<span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">T</span><span class="special">>&</span> <span class="keyword">operator</span> <span class="special">/=</span> <span class="special">(</span><span class="identifier">quaternion</span><span class="special"><</span><span class="identifier">X</span><span class="special">></span> <span class="keyword">const</span> <span class="special">&</span> <span class="identifier">rhs</span><span class="special">);</span>
|
|
</pre>
|
|
<p>
|
|
These perform the mathematical operation <code class="computeroutput"><span class="special">(*</span><span class="keyword">this</span><span class="special">)*</span><span class="identifier">inverse_of</span><span class="special">(</span><span class="identifier">rhs</span><span class="special">)</span></code>
|
|
<span class="bold"><strong>in this order</strong></span> (order is important as multiplication
|
|
is not commutative for quaternions) and store the result in <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>. The unspecialized form has exception guards,
|
|
which the specialized forms do not, so as to insure exception safety. For the
|
|
unspecialized form, the base type's assignment operators must not throw.
|
|
</p>
|
|
</div>
|
|
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
|
|
<td align="left"></td>
|
|
<td align="right"><div class="copyright-footer">Copyright © 2006-2019 Nikhar
|
|
Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
|
|
Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
|
|
Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg,
|
|
Daryle Walker and Xiaogang Zhang<p>
|
|
Distributed under the Boost Software License, Version 1.0. (See accompanying
|
|
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
|
|
</p>
|
|
</div></td>
|
|
</tr></table>
|
|
<hr>
|
|
<div class="spirit-nav">
|
|
<a accesskey="p" href="mem_typedef.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../quaternions.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="quat_non_mem.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
|
|
</div>
|
|
</body>
|
|
</html>
|