|
versor
3.0
C++11 library for Geometric algebra
|
Classes | |
| struct | Glide |
| struct | GlideParameter |
Public Types | |
| enum | LatticeType { Primitive, Body, AFace, CFace, HFace, Face2, Face3, Rhombo } |
| enum | GlideType { None, AxialA, AxialB, AxialC, Diagonal, Diamond } |
| using | Trs = typename V::space::translator |
| using | Vec = typename V::space::Vec |
Public Types inherited from vsr::PointGroup3D< V > | |
| using | Biv = typename V::space::Biv |
| using | Vec = typename V::space::Vec |
Public Types inherited from vsr::Group< V > | |
| using | Trs = typename V::space::translator |
| Trs is the translator type of whatever conformal metric we are in. | |
Public Member Functions | |
| SpaceGroup3D (int p, int q, bool abar=false, bool bbar=false, bool abbar=false, LatticeType lattice=Primitive, Vec ratio=Vec(1, 1, 1), Glide glide=Glide(), int screw=0) | |
| void | init () |
| template<class T > | |
| vector< T > | operator() (const T &p) |
| template<class T > | |
| vector< T > | apply (const T &p) |
| template<class T > | |
| vector< T > | apply (const vector< T > &p) |
| Vec | vec (float x, float y, float z) |
Calculate a vector transformation basice on generators and ratio | |
| template<class T > | |
| vector< T > | hang (const T &motif, int x, int y, int z) |
Hang a motif on a Lattice of dimensions x,y,z | |
| template<class T > | |
| vector< T > | hang (const vector< T > &motif, int x, int y, int z) |
Public Member Functions inherited from vsr::PointGroup3D< V > | |
| PointGroup3D (int p, int q, bool abar=false, bool bbar=false, bool abbar=false) | |
| template<class T > | |
| vector< T > | operator() (const T &p) |
| template<class T > | |
| vector< T > | operator() (const vector< T > &p) |
| void | seed (const Vec &vec=Vec(.213,.659, 1.6967).unit()) |
| template<class T > | |
| vector< T > | apply (const T &p) |
| auto | ab () -> auto |
| auto | ac () -> auto |
| auto | bc () -> auto |
Public Member Functions inherited from vsr::Group< V > | |
| Group (vector< V > v) | |
| template<class T > | |
| vector< T > | operator() (const T &p) |
| Applies all operators on p motif and returns results. | |
| template<class T > | |
| vector< T > | operator() (const vector< T > &p) |
| Applies all operations on a vector of type T. | |
Public Attributes | |
| LatticeType | mLatticeType |
| Glide | mGlide |
| Vec | mRatio |
| int | mScrew |
Public Attributes inherited from vsr::PointGroup3D< V > | |
| V | a |
| V | b |
| V | c |
| vector< OpIdx > | opIdx |
Public Attributes inherited from vsr::Group< V > | |
| int | numSimple |
| number of simple roots used to generate group | |
| vector< V > | ops |
| Pin Operators (Vec, etc) | |
| vector< decltype(V()*V())> | sops |
| Spin Operators (Rot, etc) | |
| vector< decltype(V()*V()*V())> | tops |
| Triple Reflection (abbar 3d group) | |
| vector< decltype(V()*Trs())> | gops |
| Glide Operators. | |
| vector< decltype(V()*V()*Trs())> | scrops |
| Screw Operators (Motor) | |
1.8.10