Boost
C++ Libraries
...one of the most highly
regarded and expertly designed C++ library projects in the
world.
— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards
Boost
C++ Libraries
...one of the most highly
regarded and expertly designed C++ library projects in the
world.
— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards
template<typename T> T real(octonion<T> const & o); template<typename T> octonion<T> unreal(octonion<T> const & o);
These return o.real() and
o.unreal()
respectively.
template<typename T> octonion<T> conj(octonion<T> const & o);
This returns the conjugate of the octonion.
template<typename T> T sup(octonion<T> const & o);
This return the sup norm (the greatest among abs(o.R_component_1())...abs(o.R_component_8())) of the octonion.
template<typename T> T l1(octonion<T> const & o);
This return the l1 norm (abs(o.R_component_1())+...+abs(o.R_component_8())) of the octonion.
template<typename T> T abs(octonion<T> const & o);
This return the magnitude (Euclidian norm) of the octonion.
template<typename T> T norm(octonion<T>const & o);
This return the (Cayley) norm of the octonion. The term "norm" might be confusing, as most people associate it with the Euclidian norm (and quadratic functionals). For this version of (the mathematical objects known as) octonions, the Euclidian norm (also known as magnitude) is the square root of the Cayley norm.