Triangle< SPD > Class Template Reference
Triangle.h DG++. More...
#include <Triangle.h>
Public Member Functions | |
| Triangle (const std::vector< double > &globalCoordVec, const std::vector< GlobalNodalIndex > &connectivity) | |
| Connectivity in Triangle<SPD> GlobalCoordinatesArray. | |
| virtual | ~Triangle () |
| Triangle (const Triangle< SPD > &that) | |
| virtual Triangle< SPD > * | clone () const |
| const size_t | getNumVertices () const |
| const std::string | getPolytopeName () const |
| const size_t | getParametricDimension () const |
| Number of dimensions in parametric configuration. | |
| const size_t | getEmbeddingDimension () const |
| Number of dimensions in the real configuration. | |
| void | map (const double *X, double *Y) const |
| map from parametric to real configuration | |
| void | dMap (const double *X, double *DY, double &Jac) const |
| Derivative of map from parametric to real configuration. | |
| size_t | getNumFaces () const |
| Number of faces the polytope has. | |
| virtual const double | getInRadius (void) const |
| Computes the Inner radius of the ElementGeometry object. | |
| virtual const double | getOutRadius (void) const |
| Computes the Outer radius of the ElementGeometry object. | |
| virtual Segment< SPD > * | getFaceGeometry (size_t e) const |
| Creates and returns a new ElementGeometry object corresponding to face "e" in the polytope. | |
| virtual void | computeNormal (size_t e, std::vector< double > &vNormal) const |
| Compute external normal for a face. | |
Static Private Attributes | |
| static const size_t | SegmentNodes [] = {0,1,1,2,2,0} |
| static const double | ParamCoord [] = {1,0,0,1,0,0} |
Detailed Description
template<size_t SPD>
class Triangle< SPD >
Triangle.h DG++.
Created by Adrian Lew on 9/4/06.
Copyright (c) 2006 Adrian Lew
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. Triangle: Geometry of planar triangles A Triangle is:
1) A set of indices that describe the connectivity of the triangle, properly oriented. The coordinates are not stored in the element but wherever the application decides
2) An affine map from a two-dimensional triangle (parametric configuration) with area 1/2 to the convex hull of the three vertices. Triangles embedded in three-dimensional space are hence easily handled.
The parametric configuration is the triangle (0,0),(1,0),(0,1).
The two parametric coordinates used are the ones aligned with the two axes in 2D.
For a triangle with connectivity (1,2,3) the faces are ordered as (1,2),(2,3),(3,1).
Rationale for a templated class: prevent having multiple copies of the dimension of SPD in each one of the multiple elements in a mesh. A static variable for it would have only allowed to use one type of triangles in a program.
- Warning:
- Neither map nor dMap check for bounds of their array arguments
Constructor & Destructor Documentation
| Triangle< SPD >::Triangle | ( | const std::vector< double > & | globalCoordVec, | |
| const std::vector< GlobalNodalIndex > & | connectivity | |||
| ) | [inline] |
Connectivity in Triangle<SPD> GlobalCoordinatesArray.
Member Function Documentation
Implements ElementGeometry.
| void Triangle< SPD >::computeNormal | ( | size_t | e, | |
| std::vector< double > & | vNormal | |||
| ) | const [inline, virtual] |
Compute external normal for a face.
- Parameters:
-
e,: face number for which the normal is desired vNormal,: output of the three Cartesian components of the normal vector
Implements ElementGeometry.
| void Triangle< SPD >::dMap | ( | const double * | X, | |
| double * | DY, | |||
| double & | Jac | |||
| ) | const [inline, virtual] |
Derivative of map from parametric to real configuration.
- Parameters:
-
X parametric coordinates. Jac returns absolute value of the Jacobian of the map. DY returns derivative of the map. Here DY[a*getEmbeddingDimension()+i] contains the derivative in the a-th direction of the i-th coordinate.
Implements ElementGeometry.
| const size_t Triangle< SPD >::getEmbeddingDimension | ( | ) | const [inline, virtual] |
Number of dimensions in the real configuration.
Implements ElementGeometry.
| Segment< SPD > * Triangle< SPD >::getFaceGeometry | ( | size_t | e | ) | const [inline, virtual] |
Creates and returns a new ElementGeometry object corresponding to face "e" in the polytope.
The object has to be destroyed with delete by the recipient.
- Parameters:
-
e face number, starting from 0
Returns a null pointer if "e" is out of range
Implements ElementGeometry.
| const double Triangle< SPD >::getInRadius | ( | void | ) | const [inline, virtual] |
Computes the Inner radius of the ElementGeometry object.
This is defined as the radius of the largest sphere that can be fit inside the polytope.
Implements ElementGeometry.
| size_t Triangle< SPD >::getNumFaces | ( | ) | const [inline, virtual] |
Number of faces the polytope has.
Implements ElementGeometry.
| const size_t Triangle< SPD >::getNumVertices | ( | ) | const [inline, virtual] |
- Returns:
- number of vertices
Implements ElementGeometry.
| const double Triangle< SPD >::getOutRadius | ( | void | ) | const [inline, virtual] |
Computes the Outer radius of the ElementGeometry object.
This is defined as the radius of the smallest sphere that contains the object.
Implements ElementGeometry.
| const size_t Triangle< SPD >::getParametricDimension | ( | ) | const [inline, virtual] |
Number of dimensions in parametric configuration.
Implements ElementGeometry.
| const std::string Triangle< SPD >::getPolytopeName | ( | ) | const [inline, virtual] |
- Returns:
- Name of type of polytope.
Implements ElementGeometry.
| void Triangle< SPD >::map | ( | const double * | X, | |
| double * | Y | |||
| ) | const [inline, virtual] |
map from parametric to real configuration
- Parameters:
-
X parametric coordinates Y returned real coordinates
Implements ElementGeometry.
Member Data Documentation
const double Triangle< SPD >::ParamCoord = {1,0,0,1,0,0} [inline, static, private] |
const size_t Triangle< SPD >::SegmentNodes = {0,1,1,2,2,0} [inline, static, private] |
The documentation for this class was generated from the following file:
