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26 <div class=
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"clear: both">
27 <a name=
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"Synopsis">Synopsis
</a>
28 </h2></div></div></div>
29 <pre class=
"programlisting"><span class=
"keyword">namespace
</span> <span class=
"identifier">boost
</span><span class=
"special">{
</span> <span class=
"keyword">namespace
</span> <span class=
"identifier">math
</span><span class=
"special">{
</span>
31 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">class
</span> <a class=
"link" href=
"octonion.html" title=
"Template Class octonion">octonion
</a><span class=
"special">;
</span>
32 <span class=
"keyword">template
</span><span class=
"special"><></span> <span class=
"keyword">class
</span> <a class=
"link" href=
"oct_specialization.html" title=
"Octonion Specializations">octonion
<float
></a><span class=
"special">;
</span>
33 <span class=
"keyword">template
</span><span class=
"special"><></span> <span class=
"keyword">class
</span> <a class=
"link" href=
"oct_specialization.html#math_octonion_double">octonion
<double
></a><span class=
"special">;
</span>
34 <span class=
"keyword">template
</span><span class=
"special"><></span> <span class=
"keyword">class
</span> <a class=
"link" href=
"oct_specialization.html#math_octonion_long_double">octonion
<long double
></a><span class=
"special">;
</span>
36 <span class=
"comment">// operators
</span>
38 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_addition_operators">operator +
</a> <span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
39 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_addition_operators">operator +
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
40 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_addition_operators">operator +
</a> <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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
41 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_addition_operators">operator +
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
42 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_addition_operators">operator +
</a> <span class=
"special">(::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
43 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_addition_operators">operator +
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"special">::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">rhs
</span><span class=
"special">);
</span>
44 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_addition_operators">operator +
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
46 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_subtraction_operators">operator -
</a> <span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
47 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_subtraction_operators">operator -
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
48 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_subtraction_operators">operator -
</a> <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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
49 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_subtraction_operators">operator -
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
50 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_subtraction_operators">operator -
</a> <span class=
"special">(::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
51 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_subtraction_operators">operator -
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"special">::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">rhs
</span><span class=
"special">);
</span>
52 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_subtraction_operators">operator -
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
54 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_multiplication_operators">operator *
</a> <span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
55 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_multiplication_operators">operator *
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
56 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_multiplication_operators">operator *
</a> <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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
57 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_multiplication_operators">operator *
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
58 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_multiplication_operators">operator *
</a> <span class=
"special">(::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
59 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_multiplication_operators">operator *
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"special">::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">rhs
</span><span class=
"special">);
</span>
60 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_multiplication_operators">operator *
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
62 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_division_operators">operator /
</a> <span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
63 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_division_operators">operator /
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
64 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_division_operators">operator /
</a> <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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
65 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_division_operators">operator /
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
66 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_division_operators">operator /
</a> <span class=
"special">(::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
67 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_division_operators">operator /
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"special">::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">rhs
</span><span class=
"special">);
</span>
68 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_division_operators">operator /
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
70 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.unary_plus_and_minus_operators">operator +
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
71 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.unary_plus_and_minus_operators">operator -
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
73 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_equality_operators">operator ==
</a> <span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
74 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_equality_operators">operator ==
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
75 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_equality_operators">operator ==
</a> <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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
76 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_equality_operators">operator ==
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
77 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_equality_operators">operator ==
</a> <span class=
"special">(::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
78 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_equality_operators">operator ==
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"special">::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">rhs
</span><span class=
"special">);
</span>
79 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_equality_operators">operator ==
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
81 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_inequality_operators">operator !=
</a> <span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
82 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_inequality_operators">operator !=
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
83 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_inequality_operators">operator !=
</a> <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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
84 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_inequality_operators">operator !=
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</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>
85 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_inequality_operators">operator !=
</a> <span class=
"special">(::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
86 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_inequality_operators">operator !=
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"special">::
</span><span class=
"identifier">boost
</span><span class=
"special">::
</span><span class=
"identifier">math
</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">rhs
</span><span class=
"special">);
</span>
87 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"keyword">bool
</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.binary_inequality_operators">operator !=
</a> <span class=
"special">(
</span><span class=
"identifier">octonion
</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">lhs
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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>
89 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">,
</span> <span class=
"keyword">typename
</span> <span class=
"identifier">charT
</span><span class=
"special">,
</span> <span class=
"keyword">class
</span> <span class=
"identifier">traits
</span><span class=
"special">></span>
90 <span class=
"special">::
</span><span class=
"identifier">std
</span><span class=
"special">::
</span><span class=
"identifier">basic_istream
</span><span class=
"special"><</span><span class=
"identifier">charT
</span><span class=
"special">,
</span><span class=
"identifier">traits
</span><span class=
"special">></span> <span class=
"special">&</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.stream_extractor">operator
>></a> <span class=
"special">(::
</span><span class=
"identifier">std
</span><span class=
"special">::
</span><span class=
"identifier">basic_istream
</span><span class=
"special"><</span><span class=
"identifier">charT
</span><span class=
"special">,
</span><span class=
"identifier">traits
</span><span class=
"special">></span> <span class=
"special">&</span> <span class=
"identifier">is
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"special">&</span> <span class=
"identifier">o
</span><span class=
"special">);
</span>
92 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">,
</span> <span class=
"keyword">typename
</span> <span class=
"identifier">charT
</span><span class=
"special">,
</span> <span class=
"keyword">class
</span> <span class=
"identifier">traits
</span><span class=
"special">></span>
93 <span class=
"special">::
</span><span class=
"identifier">std
</span><span class=
"special">::
</span><span class=
"identifier">basic_ostream
</span><span class=
"special"><</span><span class=
"identifier">charT
</span><span class=
"special">,
</span><span class=
"identifier">traits
</span><span class=
"special">></span> <span class=
"special">&</span> <a class=
"link" href=
"oct_non_mem.html#math_toolkit.oct_non_mem.stream_inserter">operator
<<</a> <span class=
"special">(::
</span><span class=
"identifier">std
</span><span class=
"special">::
</span><span class=
"identifier">basic_ostream
</span><span class=
"special"><</span><span class=
"identifier">charT
</span><span class=
"special">,
</span><span class=
"identifier">traits
</span><span class=
"special">></span> <span class=
"special">&</span> <span class=
"identifier">os
</span><span class=
"special">,
</span> <span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
95 <span class=
"comment">// values
</span>
97 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">T
</span> <a class=
"link" href=
"oct_value_ops.html#math_toolkit.oct_value_ops.real_and_unreal">real
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
98 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_value_ops.html#math_toolkit.oct_value_ops.real_and_unreal">unreal
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
100 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">T
</span> <a class=
"link" href=
"oct_value_ops.html#math_toolkit.oct_value_ops.sup">sup
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
101 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">T
</span> <a class=
"link" href=
"oct_value_ops.html#math_toolkit.oct_value_ops.l1">l1
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
102 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">T
</span> <a class=
"link" href=
"oct_value_ops.html#math_toolkit.oct_value_ops.abs">abs
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
103 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">T
</span> <a class=
"link" href=
"oct_value_ops.html#math_toolkit.oct_value_ops.norm">norm
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
104 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_value_ops.html#math_toolkit.oct_value_ops.conj">conj
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
106 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_create.html" title=
"Octonion Creation Functions">spherical
</a><span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">rho
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">theta
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">phi1
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">phi2
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">phi3
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">phi4
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">phi5
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">phi6
</span><span class=
"special">);
</span>
107 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_create.html" title=
"Octonion Creation Functions">multipolar
</a><span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">rho1
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">theta1
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">rho2
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">theta2
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">rho3
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">theta3
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">rho4
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">theta4
</span><span class=
"special">);
</span>
108 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_create.html" title=
"Octonion Creation Functions">cylindrical
</a><span class=
"special">(
</span><span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">r
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">angle
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">h1
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">h2
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">h3
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">h4
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">h5
</span><span class=
"special">,
</span> <span class=
"identifier">T
</span> <span class=
"keyword">const
</span> <span class=
"special">&</span> <span class=
"identifier">h6
</span><span class=
"special">);
</span>
110 <span class=
"comment">// transcendentals
</span>
112 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_trans.html#math_toolkit.oct_trans.exp">exp
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
113 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_trans.html#math_toolkit.oct_trans.cos">cos
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
114 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_trans.html#math_toolkit.oct_trans.sin">sin
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
115 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_trans.html#math_toolkit.oct_trans.tan">tan
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
116 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_trans.html#math_toolkit.oct_trans.cosh">cosh
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
117 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_trans.html#math_toolkit.oct_trans.sinh">sinh
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
118 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_trans.html#math_toolkit.oct_trans.tanh">tanh
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">);
</span>
120 <span class=
"keyword">template
</span><span class=
"special"><</span><span class=
"keyword">typename
</span> <span class=
"identifier">T
</span><span class=
"special">></span> <span class=
"identifier">octonion
</span><span class=
"special"><</span><span class=
"identifier">T
</span><span class=
"special">></span> <a class=
"link" href=
"oct_trans.html#math_toolkit.oct_trans.pow">pow
</a><span class=
"special">(
</span><span class=
"identifier">octonion
</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">o
</span><span class=
"special">,
</span> <span class=
"keyword">int
</span> <span class=
"identifier">n
</span><span class=
"special">);
</span>
122 <span class=
"special">}
</span> <span class=
"special">}
</span> <span class=
"comment">// namespaces
</span>
125 <table xmlns:
rev=
"http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width=
"100%"><tr>
126 <td align=
"left"></td>
127 <td align=
"right"><div class=
"copyright-footer">Copyright
© 2006-
2010,
2012-
2014 Nikhar Agrawal,
128 Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
129 Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan R
åde, Gautam Sewani,
130 Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang
<p>
131 Distributed under the Boost Software License, Version
1.0. (See accompanying
132 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>)
137 <div class=
"spirit-nav">
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"p" href=
"oct_header.html"><img src=
"../../../../../doc/src/images/prev.png" alt=
"Prev"></a><a accesskey=
"u" href=
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