finally added proper (in my opinon) exception handling to the grid's run_baker method. it should properly autocorrect, and switch the extra point lookup scheme to connectivity-based if solving the system of equations yields a singular solution
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@ -6,30 +6,38 @@ import pickle
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from grid import simple_rect_grid, simple_random_grid
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from grid import simple_rect_grid, simple_random_grid
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from baker import run_baker
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from baker import run_baker
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from tools import smberror
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qfile = '/tmp/grid_regular.txt'
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qfile = '/tmp/grid_regular.txt'
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if __name__ == '__main__':
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if __name__ == '__main__':
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try:
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try:
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rx = int(sys.argv[1])
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rx = int(sys.argv[1])
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ry = int(sys.argv[2])
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ry = int(sys.argv[2])
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except ValueError as e:
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except (IndexError, ValueError) as e:
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print e
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print "problem with argv: %s" % e
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rx = 4
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rx = 4
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ry = 4 * rx
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ry = 4 * rx
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source_mesh = simple_rect_grid(rx, ry)
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source_mesh = simple_rect_grid(rx, ry)
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print source_mesh
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# print source_mesh
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X = [0.1, 0.1]
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X = [0.1, 0.1]
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try:
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(R, S) = source_mesh.get_simplex_and_nearest_points(X, extra_points=4)
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(R, S) = source_mesh.get_simplex_and_nearest_points(X, extra_points=4)
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print "R for nearest-neighbor:\n", R
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print "R for nearest-neighbor:\n", R
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print "S for nearest-neighbor:\n", S
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print "S for nearest-neighbor:\n", S
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print run_baker(X, R, S)
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print run_baker(X, R, S)
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except smberror as e:
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print "caught error: %s" % e
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(R, S) = source_mesh.get_points_conn(X)
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(R, S) = source_mesh.get_points_conn(X)
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print "R for connectivity:\n", R
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print "R for connectivity:\n", R
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print "S for connectivity:\n", S
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print "S for connectivity:\n", S
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print run_baker(X, R, S)
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print run_baker(X, R, S)
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print "repeating the above just using the grid object:"
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print source_mesh.run_baker(X)
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open(qfile, 'w').write(source_mesh.for_qhull())
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open(qfile, 'w').write(source_mesh.for_qhull())
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29
lib/baker.py
29
lib/baker.py
@ -1,6 +1,8 @@
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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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from tools import smberror
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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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@ -26,7 +28,8 @@ def get_phis(X, R):
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try:
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try:
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phi = np.linalg.solve(A,b)
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phi = np.linalg.solve(A,b)
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except:
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except:
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print >> sys.stderr, "warning: calculation of phis yielded a linearly dependant system"
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print >> sys.stderr, "warning: get_phis: calculation of phis yielded a linearly dependant system"
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raise smberror('get_phis')
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phi = np.dot(np.linalg.pinv(A), b)
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phi = np.dot(np.linalg.pinv(A), b)
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return phi
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return phi
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@ -58,13 +61,13 @@ def get_phis_3D(X, r):
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try:
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try:
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phi = np.linalg.solve(A,b)
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phi = np.linalg.solve(A,b)
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except:
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except:
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print >> sys.stderr, "warning: calculation of phis yielded a linearly dependant system"
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print >> sys.stderr, "warning: get_phis_3D: calculation of phis yielded a linearly dependant system"
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phi = np.dot(np.linalg.pinv(A), b)
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phi = np.dot(np.linalg.pinv(A), b)
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return phi
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return phi
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def qlinear(X, R, q):
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def qlinear(X, R):
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"""
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"""
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this calculates the linear portion of q from X to r
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this calculates the linear portion of q from X to r
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@ -75,9 +78,9 @@ def qlinear(X, R, q):
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q = CFD quantities of interest at the simplex points
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q = CFD quantities of interest at the simplex points
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"""
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"""
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phis = get_phis(X, R)
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phis = get_phis(X, R.points)
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qlin = sum([q_i * phi_i for q_i, phi_i in zip(q, phis)])
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qlin = sum([q_i * phi_i for q_i, phi_i in zip(R.q, phis)])
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return qlin
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return phis, qlin
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def qlinear_3D(X, R, q):
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def qlinear_3D(X, R, q):
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"""
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"""
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@ -90,7 +93,7 @@ def qlinear_3D(X, R, q):
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phis = get_phis_3D(X, R)
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phis = get_phis_3D(X, R)
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qlin = sum([q_i * phi_i for q_i, phi_i in zip(q, phis)])
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qlin = sum([q_i * phi_i for q_i, phi_i in zip(q, phis)])
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return qlin
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return phis, qlin
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def run_baker(X, R, S):
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def run_baker(X, R, S):
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"""
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"""
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@ -106,8 +109,7 @@ def run_baker(X, R, S):
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"""
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"""
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# calculate values only for the triangle
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# calculate values only for the triangle
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phi = get_phis(X, R.points)
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phi, qlin = qlinear (X, R)
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qlin = qlinear (X, R.points, R.q)
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if len(S.points) == 0:
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if len(S.points) == 0:
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answer = {
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answer = {
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@ -124,10 +126,11 @@ def run_baker(X, R, S):
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w = [] # baker eq 11
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w = [] # baker eq 11
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for (s, q) in zip(S.points, S.q):
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for (s, q) in zip(S.points, S.q):
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(phi1, phi2, phi3) = get_phis(s, R.points)
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cur_phi, cur_qlin = qlinear(s, R)
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B.append([phi1 * phi2, phi2*phi3, phi3*phi1])
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(phi1, phi2, phi3) = cur_phi
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w.append(q - qlinear(s, R.points, R.q))
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B.append([phi1 * phi2, phi2 * phi3, phi3 * phi1])
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w.append(q - cur_qlin)
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B = np.array(B)
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B = np.array(B)
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w = np.array(w)
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w = np.array(w)
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@ -139,7 +142,7 @@ def run_baker(X, R, S):
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try:
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try:
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(a, b, c) = np.linalg.solve(A,b)
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(a, b, c) = np.linalg.solve(A,b)
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except:
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except:
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print >> sys.stderr, "warning: linear calculation went bad, resorting to np.linalg.pinv"
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print >> sys.stderr, "warning: run_baker: linear calculation went bad, resorting to np.linalg.pinv"
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(a, b, c) = np.dot(np.linalg.pinv(A), b)
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(a, b, c) = np.dot(np.linalg.pinv(A), b)
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error_term = a * phi[0] * phi[1]\
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error_term = a * phi[0] * phi[1]\
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21
lib/grid.py
21
lib/grid.py
@ -8,7 +8,7 @@ import numpy as np
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import scipy.spatial
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import scipy.spatial
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from baker import run_baker, get_phis
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from baker import run_baker, get_phis
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from tools import exact_func
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from tools import exact_func, smberror
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from smcqdelaunay import *
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from smcqdelaunay import *
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class face(object):
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class face(object):
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@ -146,13 +146,20 @@ class grid(object):
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return R, S
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return R, S
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def run_baker(self, X, connectivity_based = False):
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def run_baker(self, X):
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print >>sys.stderr, "suxor"
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answer = None
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if connectivity_based:
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(R, S) = self.get_points_conn(X)
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try:
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else:
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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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answer = run_baker(X, R, S)
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except smberror as e:
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print "caught error: %s, trying with connectivity-based mesh" % e
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(R, S) = self.get_points_conn(X)
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answer = run_baker(X, R, S)
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return answer
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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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@ -30,7 +30,6 @@ class TestSequenceFunctions(unittest.TestCase):
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import scipy
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import scipy
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import grid
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import grid
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import baker
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import baker
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import delaunay
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def testGetPhis(self):
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def testGetPhis(self):
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@ -62,7 +61,7 @@ class TestSequenceFunctions(unittest.TestCase):
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r = [[0, 0], [1, 0], [1, 1]]
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r = [[0, 0], [1, 0], [1, 1]]
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q = [1, 0, 0]
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q = [1, 0, 0]
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result = baker.qlinear(X, r, q)
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phi, result = baker.qlinear(X, grid.grid(r,q))
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right_answer = 0.5
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right_answer = 0.5
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