Complex Numbers

Primitives for representing complex numbers. More...

Classes
class	sp::Complex< T >
	A complex number of type T. More...
struct	sp::UnitQuaternions< T >
	A container for the four basis unit quaternions. More...
struct	sp::UnitOctonions< T >
	A container for the eight basis unit octonions. More...

Typedefs
template<typename T >
using	sp::Quaternion = Complex< Complex< T > >
	sp::Quaternion<T> is a shorthand for sp::Complex<sp::Complex<T>>. More...
template<typename T >
using	sp::Octonion = Complex< Complex< Complex< T > > >
	sp::Octonion<T> is a shorthand for sp::Complex<sp::Complex<sp::Complex<T>>>. More...

Detailed Description

Primitives for representing complex numbers.

Typedef Documentation

Octonion

template<typename T >

using sp::Octonion = typedef Complex<Complex<Complex<T> >>

sp::Octonion<T> is a shorthand for sp::Complex<sp::Complex<sp::Complex<T>>>.

Note that octonion multiplication is neither commutative nor associative.

Quaternion

template<typename T >

using sp::Quaternion = typedef Complex<Complex<T> >

sp::Quaternion<T> is a shorthand for sp::Complex<sp::Complex<T>>.

Note that unlike complex numbers, quaternions have non-commutative multiplication.

auto i = sp::UnitQuaternions<int>::i;
auto j = sp::UnitQuaternions<int>::j;
auto k = sp::UnitQuaternions<int>::k;
 
auto q = 3 - 5*i + 7*j - 11*k;