123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237 |
- <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>
|