lsst.skymap.detail.dodecahedron.Dodecahedron Class Reference
Public Member Functions | |
| __init__ (self, withFacesOnPoles=False) | |
| getFaceCtrList (self) | |
| getFaceCtr (self, ind) | |
| getVertices (self, ind) | |
| getFaceInd (self, vec) | |
| getWithFacesOnPoles (self) | |
Public Attributes | |
| list | vertexVecList = [numpy.dot(rotMat, unrotVertexVec) for unrotVertexVec in unrotVertexVecList] |
| faceVecList = _sortedVectorList(unsortedFaceList) | |
Protected Attributes | |
| _withFacesOnPoles = bool(withFacesOnPoles) | |
Detailed Description
A dodecahedron with positions of faces and associated vertices.
Parameters
----------
withFacesOnPoles : `bool`
If True center a face on each pole, else put a vertex on each pole.
Definition at line 9 of file dodecahedron.py.
Constructor & Destructor Documentation
◆ __init__()
| lsst.skymap.detail.dodecahedron.Dodecahedron.__init__ | ( | self, | |
| withFacesOnPoles = False ) |
Definition at line 17 of file dodecahedron.py.
17 def __init__(self, withFacesOnPoles=False):
18 self._withFacesOnPoles = bool(withFacesOnPoles)
19
20 # Basis cartesian vectors describing the faces of a dodecahedron;
21 # the full set of vectors is obtained by choosing both signs of each
22 # nonzero component of each vector.
23 # The orientation of the resulting dodecahedron, while very convenient
24 # for specifying face vectors, is not an orientation we want so it
25 # must be rotated.
26 g = (1.0 + math.sqrt(5.0)) / 2.0
27 faceBases = (
28 (0, 1, g),
29 (1, g, 0),
30 (g, 0, 1),
31 )
32 unrotFaceVecList = _computeFullVecList(faceBases)
33 unrotVertexVecList = _computeDodecahedronVertices(unrotFaceVecList)
34
35 if self._withFacesOnPoles:
36 # one face is centered on each pole
37 vec0, vec1 = _findClosePair(unrotFaceVecList, 0)
38 rotMat = _computeCoordTransform(vec0, vec1)
39 else:
40 # one vertex is on each pole
41 vec0, vec1 = _findClosePair(unrotVertexVecList, 0)
42 rotMat = _computeCoordTransform(vec0, vec1, vec1NegativeX=True)
43 self.vertexVecList = [numpy.dot(rotMat, unrotVertexVec) for unrotVertexVec in unrotVertexVecList]
44 unsortedFaceList = [numpy.dot(rotMat, unrotFaceVec) for unrotFaceVec in unrotFaceVecList]
45 self.faceVecList = _sortedVectorList(unsortedFaceList)
46
Member Function Documentation
◆ getFaceCtr()
| lsst.skymap.detail.dodecahedron.Dodecahedron.getFaceCtr | ( | self, | |
| ind ) |
Return the center of the specified face.
Parameters
----------
ind : `int`
Index of the face to look up.
Returns
-------
results : `numpy.ndarray`
Face center as a unit vector.
Definition at line 57 of file dodecahedron.py.
57 def getFaceCtr(self, ind):
58 """Return the center of the specified face.
59
60 Parameters
61 ----------
62 ind : `int`
63 Index of the face to look up.
64
65 Returns
66 -------
67 results : `numpy.ndarray`
68 Face center as a unit vector.
69 """
70 return self.faceVecList[ind][:]
71
◆ getFaceCtrList()
| lsst.skymap.detail.dodecahedron.Dodecahedron.getFaceCtrList | ( | self | ) |
Return a list of face centers.
Returns
-------
results : `list` of `numpy.ndarray`
A list of face centers (in index order); each a unit vector.
Definition at line 47 of file dodecahedron.py.
47 def getFaceCtrList(self):
48 """Return a list of face centers.
49
50 Returns
51 -------
52 results : `list` of `numpy.ndarray`
53 A list of face centers (in index order); each a unit vector.
54 """
55 return self.faceVecList[:]
56
◆ getFaceInd()
| lsst.skymap.detail.dodecahedron.Dodecahedron.getFaceInd | ( | self, | |
| vec ) |
Return the index of the face containing the cartesian vector.
Parameters
----------
vec : `numpy.ndarray`
Cartesian vector (length is ignored).
Returns
-------
results : `numpy.ndarray`
Index of face containing vec.
Definition at line 97 of file dodecahedron.py.
97 def getFaceInd(self, vec):
98 """Return the index of the face containing the cartesian vector.
99
100 Parameters
101 ----------
102 vec : `numpy.ndarray`
103 Cartesian vector (length is ignored).
104
105 Returns
106 -------
107 results : `numpy.ndarray`
108 Index of face containing vec.
109 """
110 return numpy.argmax(numpy.dot(self.faceVecList, vec))
111
◆ getVertices()
| lsst.skymap.detail.dodecahedron.Dodecahedron.getVertices | ( | self, | |
| ind ) |
Return the vertices for a given face.
Parameters
----------
ind : `int`
Face index.
Returns
-------
sortedVertexList : `list` of `numpy.ndarray`
A list of vertices, each a unit vector.
Definition at line 72 of file dodecahedron.py.
72 def getVertices(self, ind):
73 """Return the vertices for a given face.
74
75 Parameters
76 ----------
77 ind : `int`
78 Face index.
79
80 Returns
81 -------
82 sortedVertexList : `list` of `numpy.ndarray`
83 A list of vertices, each a unit vector.
84 """
85 faceVec = self.getFaceCtr(ind)
86 vertexList, indList = _findCloseList(self.vertexVecList, faceVec)
87
88 # sort vertex list about face vector (direction is random)
89 sortedVertexList = [vertexList[0]]
90 vertexList = list(vertexList[1:])
91 while len(vertexList) != 0:
92 nearVertexList, nearInd = _findCloseList(vertexList, sortedVertexList[-1])
93 sortedVertexList.append(nearVertexList[0])
94 vertexList.pop(nearInd[0])
95 return sortedVertexList
96
◆ getWithFacesOnPoles()
| lsst.skymap.detail.dodecahedron.Dodecahedron.getWithFacesOnPoles | ( | self | ) |
Definition at line 112 of file dodecahedron.py.
112 def getWithFacesOnPoles(self):
113 return self._withFacesOnPoles
114
115
Member Data Documentation
◆ _withFacesOnPoles
|
protected |
Definition at line 18 of file dodecahedron.py.
◆ faceVecList
| lsst.skymap.detail.dodecahedron.Dodecahedron.faceVecList = _sortedVectorList(unsortedFaceList) |
Definition at line 45 of file dodecahedron.py.
◆ vertexVecList
| list lsst.skymap.detail.dodecahedron.Dodecahedron.vertexVecList = [numpy.dot(rotMat, unrotVertexVec) for unrotVertexVec in unrotVertexVecList] |
Definition at line 43 of file dodecahedron.py.
The documentation for this class was generated from the following file:
- /j/snowflake/release/lsstsw/stack/lsst-scipipe-12.0.0/Linux/skymap/g1fd858c14a+fde7a7a78c/python/lsst/skymap/detail/dodecahedron.py
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