Eagle::Coordinates Class Reference

Coordinate template class. More...

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

List of all members.

Classes

• class bivector

  A bi-vector in geomtric algebra, which is the span of two vectors. More...
  

• class Christoffel
• class covector

  The dual of a vector, i.e the co-vector. More...
  

• class Metric
• class point
• class pseudoscalar
• class scalar
• class vector

  Tangential vectors, which are column vectors. More...
  

Public Types

• enum {
    Dims = Domain::Dims, Dims2 = Dims * Dims, SymmetricDims = Dims*(Dims+1)/2, AntisymmetricDims = Dims2 - SymmetricDims,
    Dims3 = Dims * Dims * Dims
  }
• typedef Christoffel Christoffel_t
• typedef point Point_t
• typedef real Scalar_t
• typedef vector Vector_t

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Detailed Description

Coordinate template class.

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Member Enumeration Documentation

anonymous enum

Enumerator:

Dims	Number of dimensions, and components of a vector (1-blade)
Dims2	Number of components for a general tensor of rank 2: 2D (4), 3D(9), 4D(16)
SymmetricDims	Number of independent components of a symmetric tensor of rank 2, given by Dims*(Dims+1)/2. 2D: 2*(2+1)/2 -> 3 3D: 3*(3+1)/2 -> 6 4D: 4*(4+1)/2 -> 10
AntisymmetricDims	Number of independent components of an antisymmetric tensor of rank 2, given by subtracting the number of components for the symmetric part from the generic one: 2D: 4-3 -> 1 3D: 9-6 -> 3 4D: 16-10 -> 6
Dims3	Number of components for a general tensor of rank 3, or the Christoffel symbols: 2D (8), 3D(27), 4D(64)

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

• ocean/eagle/Coordinates.hpp