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Documented utilities.
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+11
-16
@@ -31,19 +31,18 @@ def volTetra(xyz, A, B, C, D):
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"""
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Returns the volume for tetrahedras volume specified by the indexes A to D.
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:param numpy.array xyz: X,Y,Z vertex vector
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:param numpy.array A,B,C,D: vert index of the tetrahedra
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:rtype: numpy.array
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:return: V, volume of the tetrahedra
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Input:
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xyz - X,Y,Z vertex vector
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A,B,C,D - vert index of the tetrahedra
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Algorithm http://en.wikipedia.org/wiki/Tetrahedron#Volume
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Output:
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V - volume
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.. math::
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Algorithm: http://en.wikipedia.org/wiki/Tetrahedron#Volume
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V = {1 \over 3} A h
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V = 1/3 A * h
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V = 1/6 | ( a - d ) o ( ( b - d ) X ( c - d ) ) |
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V = {1 \over 6} | ( a - d ) \cdot ( ( b - d ) ( c - d ) ) |
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"""
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@@ -69,7 +68,7 @@ def indexCube(nodes, gridSize, n=None):
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Output:
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index - index in the order asked e.g. 'ABCD' --> (A,B,C,D)
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TWO DIMENSIONS:
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TWO DIMENSIONS::
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node(i,j) node(i,j+1)
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A -------------- B
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@@ -81,7 +80,7 @@ def indexCube(nodes, gridSize, n=None):
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node(i+1,j) node(i+1,j+1)
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THREE DIMENSIONS:
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THREE DIMENSIONS::
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node(i,j,k+1) node(i,j+1,k+1)
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E --------------- F
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@@ -97,10 +96,6 @@ def indexCube(nodes, gridSize, n=None):
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D -------------- C
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node(i+1,j,k) node(i+1,j+1,k)
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@author Rowan Cockett
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Last modified on: 2013/07/26
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"""
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assert type(nodes) == str, "Nodes must be a str variable: e.g. 'ABCD'"
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@@ -211,7 +206,7 @@ def faceInfo(xyz, A, B, C, D, average=True, normalizeNormals=True):
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#
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# So also could be viewed as the average parallelogram.
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#
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# WARNING: This does not compute correctly for concave quadrilaterals
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# TODO: This does not compute correctly for concave quadrilaterals
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area = (length(nA)+length(nB)+length(nC)+length(nD))/4
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return N, area
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