Eagle::PhysicalSpace::OddMultiVector Class Reference

The combination of a vector and a trivector yields an odd multivector, which is dual to a rotor. More...

#include </home/werner/origo/vish/ocean/eagle/rotor3.hpp>

List of all members.

Public Member Functions

• OddMultiVector (const Vector< double, 4 > &V)
• OddMultiVector (const trivector &V, const vector &v)

  Construct rotor from trivector and vector.
  

• OddMultiVector (const vector &v, const trivector &V)

  Construct rotor from vector and trivector.
  

• const rotor & operator* () const

  Applying the hodge star operator.
  

• rotor & operator* ()

  Applying the hodge star operator.
  

• trivector & trivec ()

  Retrieve trivector component, modifyable.
  

• const trivector & trivec () const

  Retrieve trivector component, read-only.
  

• vector & vec ()

  Retrieve vector component, modifyable.
  

• const vector & vec () const

  Retrieve vector component, read-only.
  

Friends

• OddMultiVector operator+ (const trivector &V, const vector &v)

  Sum of trivector and vector.
  

• OddMultiVector operator+ (const vector &v, const trivector &V)

  Sum of vector and trivector.
  

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Detailed Description

The combination of a vector and a trivector yields an odd multivector, which is dual to a rotor.

The memory layout is compatible to a rotor, but the algebraic properties are not.

An odd multivector sums up the blades of odd grades, such as 1 (vectors) and 3 (trivectors). An odd multivector is dual to a rotor.

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The documentation for this class was generated from the following file:

• ocean/eagle/rotor3.hpp