Loading [MathJax]/extensions/tex2jax.js
ug4
All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Modules Pages
normal_calculation_impl.h
Go to the documentation of this file.
1/*
2 * Copyright (c) 2014-2015: G-CSC, Goethe University Frankfurt
3 * Author: Sebastian Reiter
4 *
5 * This file is part of UG4.
6 *
7 * UG4 is free software: you can redistribute it and/or modify it under the
8 * terms of the GNU Lesser General Public License version 3 (as published by the
9 * Free Software Foundation) with the following additional attribution
10 * requirements (according to LGPL/GPL v3 §7):
11 *
12 * (1) The following notice must be displayed in the Appropriate Legal Notices
13 * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
14 *
15 * (2) The following notice must be displayed at a prominent place in the
16 * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
17 *
18 * (3) The following bibliography is recommended for citation and must be
19 * preserved in all covered files:
20 * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
21 * parallel geometric multigrid solver on hierarchically distributed grids.
22 * Computing and visualization in science 16, 4 (2013), 151-164"
23 * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
24 * flexible software system for simulating pde based models on high performance
25 * computers. Computing and visualization in science 16, 4 (2013), 165-179"
26 *
27 * This program is distributed in the hope that it will be useful,
28 * but WITHOUT ANY WARRANTY; without even the implied warranty of
29 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
30 * GNU Lesser General Public License for more details.
31 */
32
33#ifndef __H__UG_NORMAL_CALCULATION_IMPL__
34#define __H__UG_NORMAL_CALCULATION_IMPL__
35
36#include "normal_calculation.h"
38#include "common/math/ugmath.h"
39
40namespace ug{
41
42template <class TAAPos>
43inline typename TAAPos::ValueType
44CalculateOuterNormal(Vertex* v, int sideIndex, TAAPos aaPos)
45{
46 typename TAAPos::ValueType n;
47 VecSet(n, 0);
48 return n;
49}
50
51template <class TAAPos>
52inline typename TAAPos::ValueType
53CalculateOuterNormal(Edge* e, int sideIndex, TAAPos aaPos)
54{
55 typename TAAPos::ValueType n;
56 VecSubtract(n, aaPos[e->vertex(sideIndex)],
57 aaPos[e->vertex((sideIndex + 1) % 2)]);
58 VecNormalize(n, n);
59 return n;
60}
61
62template <class TAAPos>
63inline typename TAAPos::ValueType
64CalculateOuterNormal(Face* f, int sideIndex, TAAPos aaPos)
65{
66 typename TAAPos::ValueType c, n;
67 c = CalculateCenter(f, aaPos);
69 f->edge_desc(sideIndex, ed);
70
71 DropAPerpendicular(n, c, aaPos[ed.vertex(0)], aaPos[ed.vertex(1)]);
72 VecSubtract(n, n, c);
73 VecNormalize(n, n);
74 return n;
75}
76
77template <class TAAPos>
78inline typename TAAPos::ValueType
79CalculateOuterNormal(Volume* v, int sideIndex, TAAPos aaPos)
80{
81 typename TAAPos::ValueType n;
83 v->face_desc(sideIndex, fd);
84 CalculateNormal(n, &fd, aaPos);
85 return n;
86}
87
88template <class TAAPos>
89inline typename TAAPos::ValueType
90CalculateOuterNormal(GridObject* o, int sideIndex, TAAPos aaPos)
91{
92 int baseObjId = o->base_object_id();
93 switch(baseObjId){
94 case VERTEX:
95 return CalculateOuterNormal(static_cast<Vertex*>(o), sideIndex, aaPos);
96 case EDGE:
97 return CalculateOuterNormal(static_cast<Edge*>(o), sideIndex, aaPos);
98 case FACE:
99 return CalculateOuterNormal(static_cast<Face*>(o), sideIndex, aaPos);
100 case VOLUME:
101 return CalculateOuterNormal(static_cast<Volume*>(o), sideIndex, aaPos);
102 }
103 UG_THROW("Unsupported base object id in CalculateOuterNormal");
104}
105
106
107inline vector2
110{
111 vector2 d;
112 VecSubtract(d, aaPos[edge->vertex(1)], aaPos[edge->vertex(0)]);
113 VecNormalize(d, d);
114 return vector2(d.y(), -d.x());
115}
116
117
118inline vector3
121{
122 vector3 n;
123 CalculateNormal(n, face, aaPos);
124 return n;
125}
126
127}// end of namespace
128
129#endif
A generic specialization of IAttachment.
Definition attachment_pipe.h:263
Can be used to store information about an edge and to construct an edge.
Definition grid_base_objects.h:464
Base-class for edges.
Definition grid_base_objects.h:397
holds the vertices of an Edge or an EdgeDescriptor.
Definition grid_base_objects.h:362
virtual Vertex * vertex(size_t index) const
Definition grid_base_objects.h:366
Can be queried for the edges and vertices of a face.
Definition grid_base_objects.h:684
Faces are 2-dimensional objects.
Definition grid_base_objects.h:510
virtual EdgeDescriptor edge_desc(int index) const
returns the i-th edge of the face.
Definition grid_base_objects.h:537
Definition grid_base_objects.h:483
the generic attachment-accessor for access to grids attachment pipes.
Definition grid.h:182
The base class for all geometric objects, such as vertices, edges, faces, volumes,...
Definition grid_base_objects.h:157
virtual int base_object_id() const =0
Base-class for all vertex-types.
Definition grid_base_objects.h:231
Volumes are 3-dimensional objects.
Definition grid_base_objects.h:754
virtual FaceDescriptor face_desc(int index) const
Definition grid_base_objects.h:784
int CalculateNormal(vector3 &vNormOut, Grid &grid, Edge *e, Grid::AttachmentAccessor< Vertex, APosition > &aaPos, Grid::AttachmentAccessor< Face, ANormal > *paaNormFACE)
Calculates the normal of the given edge.
Definition edge_util.cpp:314
TAAPos::ValueType CalculateOuterNormal(Vertex *v, int sideIndex, TAAPos aaPos)
Calculates the outer normal of the i-th side of the given grid object.
Definition normal_calculation_impl.h:44
#define UG_THROW(msg)
Definition error.h:57
number DropAPerpendicular(vector_t &vOut, const vector_t &v, const vector_t &v0, const vector_t &v1)
finds the projection of v onto the line defined by v0 and v1
Definition math_util_impl.hpp:123
void CalculateCenter(vector_t &centerOut, const vector_t *pointSet, size_t numPoints)
calculates the center of a point-set
Definition math_util_impl.hpp:98
MathVector< 2, number > vector2
a 2d vector
Definition ugmath_types.h:69
void VecSet(vector_t &vInOut, typename vector_t::value_type s)
Set each vector component to scalar (componentwise)
Definition math_vector_functions_common_impl.hpp:539
void VecNormalize(vector_t &vOut, const vector_t &v)
scales a vector_t to unit length
Definition math_vector_functions_common_impl.hpp:501
void VecSubtract(vector_t &vOut, const vector_t &v1, const vector_t &v2)
subtracts v2 from v1 and stores the result in a vOut
Definition math_vector_functions_common_impl.hpp:226
MathVector< 3, number > vector3
a 3d vector
Definition ugmath_types.h:72
the ug namespace
@ VOLUME
Definition grid_base_objects.h:63
@ VERTEX
Definition grid_base_objects.h:60
@ EDGE
Definition grid_base_objects.h:61
@ FACE
Definition grid_base_objects.h:62