boundaryInterface Struct Reference

Detailed Description

Struct which represents an interface between two patches.

Collaboration diagram for boundaryInterface:

Public Member Functions
	boundaryInterface (patchSide const &_ps1, patchSide const &_ps2, short_t dim, const std::string &l="")
void	cornerMap (gsVector< index_t > &cmap) const
	Returns a vector which describes the mapping between the corners of ps1 and the corners of ps2. In particular, the i-th corner of ps1 (in lex-order) is mapped to the corner cmap[i] (in lex-order) of ps2.
gsVector< index_t >	dirMap (const patchSide &ps) const
	Accessor for boundaryInterface::directionMap.
gsVector< bool >	dirOrientation (const patchSide &ps) const
	Accessor for boundaryInterface::directionOrientation.
patchSide &	first ()
	first, returns the first patchSide of this interface
const std::string &	label () const
	Return the label.
patchSide &	other (const patchSide &ps)
	Returns the second side if ps is the first side, otherwise returns the second side.
patchSide &	second ()
	second, returns the second patchSide of this interface

Private Attributes
gsVector< index_t >	directionMap
	store the combinatorial data about the interface More...
gsVector< bool >	directionOrientation
std::string	m_label
	The label of the interface.
patchSide	ps1
	The first patch side.
patchSide	ps2
	The second patch side.

Friends
std::ostream &	operator<< (std::ostream &os, const boundaryInterface &i)
	Print (as string) an interface. More...

Constructor & Destructor Documentation

boundaryInterface ( patchSide const &  _ps1, patchSide const &  _ps2, short_t  dim, const std::string &  l = ""  )

inline

TODO: discuss and define default orientation

Friends And Related Function Documentation

std::ostream& operator<< ( std::ostream &  os, const boundaryInterface &  i  )

friend

Print (as string) an interface.

TODO: the information could be stored in a single vector of signed integers: the sign gives the orientation the problem is that it is necessary to shift the indices as there is no -0

Member Data Documentation

gsVector<index_t> directionMap

private

store the combinatorial data about the interface

Accessed by dirMap()

we describe the permutation and orientation of the coordinate directions through an affine map that puts ps1.patch next to ps2.patch in such a way that ps1 coincide to ps2.

boundaryInterface::directionMap stores the permutation of the coordinate directions, i.e. the rotation of the map.
boundaryInterface::directionOrientation stores the corresponding orientation.

Example 1:

\[ \mathrm{patch~0}~ \begin{array}{|cc|cc|} \hline \uparrow x & & \uparrow x & &\\ & \rightarrow y & & \rightarrow y &\\\hline \end{array} ~\mathrm{patch~1} \]

In Example 1, the image of the x-axis of patch 0 is oriented such that it corresponds to the image of the x-axis of patch 1. Hence, the coordinate direction "0" is mapped to coordinate direction "0", and direction "1" is mapped to direction "1". In this case, directionMap is stored as the vector [0,1].

The orientations of both coordinate directions is the same, so boundaryInterface::directionOrientation is [ 1, 1 ]

Example 2:

\[ \mathrm{patch~0}~ \begin{array}{|cc|cc|cc|} \hline \uparrow x & & & \rightarrow x \\ & \rightarrow y & \downarrow y & \\\hline \end{array} ~\mathrm{patch~1} \]

In Example 2, the image of the x-axis of patch 0 is oriented such that it corresponds to the image of the y-asis of patch 1. This means that the coordinate direction "0" is mapped to coordinate direction "1". Also, direction "1" is mapped to direction "0". In this case, directionMap is [1,0].

The orientations of the x-axis of patch 0 and its corresponding counterpart (i.e., the y-axis of patch 1) are reversed. The orientation of the y-axis and its counterpart are the same. Hence, boundaryInterface::directionOrientation is [ 0, 1 ]

gsVector<bool> directionOrientation

private

For each coordinate direction we save if the original coordinate and the destination one have the same orientation

Accessed by dirOrientation()

See boundaryInterface::directionMap for documentation.