wrote the method that returns grid objects based on connectivity
I'm going to hurry and clean up this method, but for now it is verbose, and uses sets. i'm going to just check it in for future reference
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@ -17,5 +17,6 @@ if __name__ == '__main__':
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g = simple_rect_grid(resolution, resolution)
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g = simple_rect_grid(resolution, resolution)
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print g
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print g
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print g.get_points_conn([0.4, 0])
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X = [0.4, 0.001]
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print g.get_points_conn(X)
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open(qfile, 'w').write(g.for_qhull())
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open(qfile, 'w').write(g.for_qhull())
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@ -1,7 +1,7 @@
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import numpy as np
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import numpy as np
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import sys
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import sys
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def get_phis(X, r):
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def get_phis(X, R):
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"""
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"""
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The get_phis function is used to get barycentric coordonites for a point on a triangle.
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The get_phis function is used to get barycentric coordonites for a point on a triangle.
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@ -16,8 +16,8 @@ def get_phis(X, r):
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# baker: eq 7
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# baker: eq 7
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A = np.array([
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A = np.array([
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[ 1, 1, 1],
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[ 1, 1, 1],
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[r[0][0], r[1][0], r[2][0]],
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[R[0][0], R[1][0], R[2][0]],
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[r[0][1], r[1][1], r[2][1]],
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[R[0][1], R[1][1], R[2][1]],
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])
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])
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b = np.array([ 1,
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b = np.array([ 1,
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X[0],
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X[0],
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100
lib/grid.py
100
lib/grid.py
@ -18,28 +18,21 @@ class face(object):
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self.neighbors = []
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self.neighbors = []
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def add_vert(self, v):
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def add_vert(self, v):
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"""
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v should be an index into grid.points
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"""
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self.verts.append(v)
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self.verts.append(v)
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def add_neighbor(self, n):
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def add_neighbor(self, n):
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"""
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reference to another face object
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"""
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self.neighbors.append(n)
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self.neighbors.append(n)
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def __str__(self):
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def contains(self, X, grid):
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neighbors = [i.name for i in self.neighbors]
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R = [grid.points[i] for i in self.verts]
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return '%s: points: %s neighbors: [%s]' %\
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(
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self.name,
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self.verts,
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", ".join(neighbors)
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)
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phis = get_phis(X, R)
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class simplex(object):
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def __init__(self, points):
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self.R = points
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def contains(self, X):
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phis = get_phis(X, self.R)
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r = True
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r = True
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if [i for i in phis if i < 0.0]:
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if [i for i in phis if i < 0.0]:
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@ -47,8 +40,13 @@ class simplex(object):
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return r
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return r
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def __str__(self):
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def __str__(self):
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print type(self.R)
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neighbors = [i.name for i in self.neighbors]
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return "simplex: %d: [%s]" % (len(self.R), ", ".join([str(i) for i in self.R]),)
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return '%s: verts: %s neighbors: [%s]' %\
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(
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self.name,
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self.verts,
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", ".join(neighbors)
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)
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@ -85,6 +83,13 @@ class grid(object):
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self.faces = {}
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self.faces = {}
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self.facets_for_point = defaultdict(list)
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self.facets_for_point = defaultdict(list)
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def create_mesh(self, indicies):
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p = [self.points[i] for i in indicies]
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q = [self.q[i] for i in indicies]
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return grid(p, q)
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def get_simplex_and_nearest_points(self, X, extra_points = 3, simplex_size = 3):
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def get_simplex_and_nearest_points(self, X, extra_points = 3, simplex_size = 3):
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"""
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"""
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this returns two grid objects: R and S.
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this returns two grid objects: R and S.
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@ -96,35 +101,52 @@ class grid(object):
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# get the containing simplex
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# get the containing simplex
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R = [self.points[i] for i in indicies[:simplex_size] ]
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r_mesh = self.create_mesh(indicies[:simplex_size])
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Rq = [self.q[i] for i in indicies[:simplex_size] ]
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r_mesh = grid(R, Rq)
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# and some extra points
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# and some extra points
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S = [self.points[i] for i in indicies[simplex_size:] ]
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s_mesh = self.create_mesh(indicies[simplex_size:])
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Sq = [self.q[i] for i in indicies[simplex_size:] ]
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s_mesh = grid(S, Sq)
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return (r_mesh, s_mesh)
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return (r_mesh, s_mesh)
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def get_points_conn(self, X):
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"""
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this returns two grid objects: R and S.
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R is a grid object that is the (a) containing simplex around point X
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S is a connectivity-based nearest-neighbor lookup, limited to 3 extra points
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"""
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if not self.faces:
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self.construct_connectivity()
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(dist, indicies) = self.tree.query(X, 2)
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smplx = None
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for i in self.facets_for_point[indicies[0]]:
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if i.contains(X, self):
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smplx = i
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break
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if not smplx:
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raise AssertionError('no containing simplex found')
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print "containing verts:", smplx.verts
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smplx_set = set(smplx.verts)
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R = self.create_mesh(smplx.verts)
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s = []
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for c,i in enumerate(smplx.neighbors):
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print "neighbor %d: %s: %s" % (c, i.name, i.verts)
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st = set(i.verts)
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s.append((st - smplx_set).pop())
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# s.append( [guy for guy in i.verts if not guy in smplx.verts])
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print s
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S = self.create_mesh(s)
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print S
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return R, S
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def run_baker(self, X):
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def run_baker(self, X):
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(R, S) = self.get_simplex_and_nearest_points(X)
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(R, S) = self.get_simplex_and_nearest_points(X)
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return run_baker(X, R, S)
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return run_baker(X, R, S)
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def get_points_conn(self, X):
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if not self.faces:
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self.construct_connectivity()
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(dist, indicies) = self.tree.query(X, 3)
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print dist, indicies, [(self.points[i][0], self.points[i][1]) for i in indicies]
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print [i.name for i in self.facets_for_point[indicies[0]]]
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print self.facets_for_point[indicies[0]]
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smplx = simplex([self.points[i] for i in indicies])
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if not smplx.contains(X):
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raise AssertionError('simplex should contain point')
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def construct_connectivity(self):
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def construct_connectivity(self):
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"""
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"""
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a call to this method prepares the internal connectivity structure.
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a call to this method prepares the internal connectivity structure.
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