updated library files so that i don't have to edit the __init__.py files
--HG-- rename : lib/baker/__init__.py => lib/baker/baker.py rename : lib/grid/__init__.py => lib/grid/grid.py
This commit is contained in:
Stephen Mardson McQuay
parent
b9ea6a3ac2
commit
a2d7b3f063
@ -1,163 +1 @@
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import numpy as np
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import sys
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from baker.tools import smberror
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def get_phis(X, R):
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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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X -- the destination point (2D)
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X = [0,0]
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r -- the three points that make up the triangular simplex (2D)
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r = [[-1, -1], [0, 2], [1, -1]]
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this will return [0.333, 0.333, 0.333]
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"""
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# baker: eq 7
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A = np.array([
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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][1], R[1][1], R[2][1]],
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])
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b = np.array([ 1,
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X[0],
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X[1]
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])
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try:
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phi = np.linalg.solve(A,b)
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except:
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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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return phi
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def get_phis_3D(X, r):
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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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X -- the destination point (3D)
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X = [0,0,0]
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r -- the four points that make up the tetrahedron (3D)
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r = [[-1, -1], [0, 2], [1, -1]]
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this will return [0.333, 0.333, 0.333]
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"""
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# baker: eq 7
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A = np.array([
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[ 1, 1, 1, 1 ],
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[r[0][0], r[1][0], r[2][0], r[3][0]],
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[r[0][1], r[1][1], r[2][1], r[3][1]],
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[r[0][2], r[1][2], r[2][2], r[3][2]],
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])
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b = np.array([ 1,
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X[0],
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X[1],
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X[2]
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])
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try:
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phi = np.linalg.solve(A,b)
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except:
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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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return phi
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def qlinear(X, R):
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"""
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this calculates the linear portion of q from X to r
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also, this is baker eq 3
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X = destination point
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R = simplex points
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q = CFD quantities of interest at the simplex points
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"""
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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(R.q, phis)])
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return phis, qlin
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def qlinear_3D(X, R, q):
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"""
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this calculates the linear portion of q from X to r
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X = destination point
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R = simplex points
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q = CFD quantities of interest at the simplex points(R)
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"""
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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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return phis, qlin
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def run_baker(X, R, S):
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"""
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This is the main function to call to get an interpolation to X from the input meshes
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X -- the destination point (2D)
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X = [0,0]
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R = Simplex
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S = extra points
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"""
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# calculate values only for the triangle
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phi, qlin = qlinear (X, R)
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if len(S.points) == 0:
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answer = {
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'a': None,
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'b': None,
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'c': None,
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'qlin': qlin,
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'error': None,
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'final': None,
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}
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return answer
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B = [] # baker eq 9
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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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cur_phi, cur_qlin = qlinear(s, R)
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(phi1, phi2, phi3) = cur_phi
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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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w = np.array(w)
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A = np.dot(B.T, B)
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b = np.dot(B.T, w)
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# baker solve eq 10
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try:
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(a, b, c) = np.linalg.solve(A,b)
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except:
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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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error_term = a * phi[0] * phi[1]\
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+ b * phi[1] * phi[2]\
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+ c * phi[2] * phi[0]
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q_final = qlin + error_term
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answer = {
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'a': a,
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'b': b,
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'c': c,
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'qlin': qlin,
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'error': error_term,
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'final': q_final,
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}
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return answer
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from baker import *
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163
lib/baker/baker.py
Normal file
163
lib/baker/baker.py
Normal file
@ -0,0 +1,163 @@
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import numpy as np
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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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"""
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The get_phis function is used to get barycentric coordonites for a point on a triangle.
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X -- the destination point (2D)
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X = [0,0]
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r -- the three points that make up the triangular simplex (2D)
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r = [[-1, -1], [0, 2], [1, -1]]
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this will return [0.333, 0.333, 0.333]
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"""
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# baker: eq 7
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A = np.array([
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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][1], R[1][1], R[2][1]],
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])
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b = np.array([ 1,
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X[0],
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X[1]
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])
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try:
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phi = np.linalg.solve(A,b)
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except:
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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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return phi
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def get_phis_3D(X, r):
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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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X -- the destination point (3D)
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X = [0,0,0]
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r -- the four points that make up the tetrahedron (3D)
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r = [[-1, -1], [0, 2], [1, -1]]
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this will return [0.333, 0.333, 0.333]
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"""
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# baker: eq 7
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A = np.array([
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[ 1, 1, 1, 1 ],
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[r[0][0], r[1][0], r[2][0], r[3][0]],
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[r[0][1], r[1][1], r[2][1], r[3][1]],
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[r[0][2], r[1][2], r[2][2], r[3][2]],
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])
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b = np.array([ 1,
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X[0],
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X[1],
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X[2]
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])
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try:
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phi = np.linalg.solve(A,b)
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except:
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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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return phi
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def qlinear(X, R):
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"""
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this calculates the linear portion of q from X to r
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also, this is baker eq 3
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X = destination point
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R = simplex points
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q = CFD quantities of interest at the simplex points
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"""
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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(R.q, phis)])
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return phis, qlin
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def qlinear_3D(X, R, q):
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"""
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this calculates the linear portion of q from X to r
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X = destination point
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R = simplex points
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q = CFD quantities of interest at the simplex points(R)
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"""
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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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return phis, qlin
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def run_baker(X, R, S):
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"""
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This is the main function to call to get an interpolation to X from the input meshes
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X -- the destination point (2D)
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X = [0,0]
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R = Simplex
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S = extra points
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"""
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# calculate values only for the triangle
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phi, qlin = qlinear (X, R)
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if len(S.points) == 0:
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answer = {
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'a': None,
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'b': None,
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'c': None,
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'qlin': qlin,
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'error': None,
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'final': None,
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}
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return answer
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B = [] # baker eq 9
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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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cur_phi, cur_qlin = qlinear(s, R)
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(phi1, phi2, phi3) = cur_phi
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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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w = np.array(w)
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A = np.dot(B.T, B)
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b = np.dot(B.T, w)
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# baker solve eq 10
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try:
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(a, b, c) = np.linalg.solve(A,b)
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except:
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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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error_term = a * phi[0] * phi[1]\
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+ b * phi[1] * phi[2]\
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+ c * phi[2] * phi[0]
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q_final = qlin + error_term
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answer = {
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'a': a,
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'b': b,
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'c': c,
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'qlin': qlin,
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'error': error_term,
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'final': q_final,
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}
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return answer
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@ -1,287 +1 @@
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#!/usr/bin/python
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import sys
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import re
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from collections import defaultdict
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import numpy as np
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import scipy.spatial
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from baker import run_baker, get_phis
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from baker.tools import exact_func, smberror
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from grid.smcqdelaunay import *
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class face(object):
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def __init__(self, name):
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self.name = name
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self.verts = []
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self.neighbors = []
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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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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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def contains(self, X, grid):
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R = [grid.points[i] for i in self.verts]
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phis = get_phis(X, R)
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r = True
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if [i for i in phis if i < 0.0]:
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r = False
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return r
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def __str__(self):
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neighbors = [i.name for i in self.neighbors]
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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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class grid(object):
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facet_re = re.compile(r'''
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-\s+(?P<facet>f\d+).*?
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vertices:\s(?P<verts>.*?)\n.*?
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neighboring\s facets:\s+(?P<neigh>[\sf\d]*)
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''', re.S|re.X)
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point_re = re.compile(r'''
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-\s+(?P<point>p\d+).*?
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neighbors:\s+(?P<neigh>[\sf\d]*)
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''', re.S|re.X)
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vert_re = re.compile(r'''
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(p\d+)
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''', re.S|re.X)
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def __init__(self, points, q):
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"""
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this thing eats two pre-constructed arrays of stuff:
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points = array of arrays (i will convert to numpy.array)
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[[x0,y0], [x1,y1], ...]
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q = array (1D) of important values
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"""
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self.points = np.array(points)
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self.q = np.array(q)
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self.tree = scipy.spatial.KDTree(self.points)
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self.faces = {}
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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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"""
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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 S_j from baker's paper : some points from all point that are not the simplex
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"""
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(dist, indicies) = self.tree.query(X, 3 + extra_points)
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# get the containing simplex
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r_mesh = self.create_mesh(indicies[:simplex_size])
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# and some extra points
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s_mesh = self.create_mesh(indicies[simplex_size:])
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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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this function differes from the get_simplex_and_nearest_points
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function in that it builds up the extra points based on
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connectivity information, not just nearest-neighbor.
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in theory, this will work much better for situations like
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points near a short edge in a boundary layer cell where the
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nearest points would all be colinear
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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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# get closest point
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(dist, indicies) = self.tree.query(X, 2)
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simplex = 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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simplex = i
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break
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if not simplex:
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raise AssertionError('no containing simplex found')
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R = self.create_mesh(simplex.verts)
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s = []
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for c,i in enumerate(simplex.neighbors):
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s.extend([guy for guy in i.verts if not guy in simplex.verts])
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S = self.create_mesh(s)
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return R, S
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def run_baker(self, X):
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answer = None
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try:
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(R, S) = self.get_simplex_and_nearest_points(X)
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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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"""
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a call to this method prepares the internal connectivity structure.
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this is part of the __init__ for a simple_rect_grid, but can be called from any grid object
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"""
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qdelaunay_string = get_qdelaunay_dump_str(self)
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facet_to_facets = []
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for matcher in grid.facet_re.finditer(qdelaunay_string):
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d = matcher.groupdict()
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facet_name = d['facet']
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verticies = d['verts']
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neighboring_facets = d['neigh']
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cur_face = face(facet_name)
|
||||
self.faces[facet_name] = cur_face
|
||||
|
||||
for v in grid.vert_re.findall(verticies):
|
||||
vertex_index = int(v[1:])
|
||||
cur_face.add_vert(vertex_index)
|
||||
self.facets_for_point[vertex_index].append(cur_face)
|
||||
|
||||
nghbrs = [(facet_name, i) for i in neighboring_facets.split()]
|
||||
facet_to_facets.extend(nghbrs)
|
||||
|
||||
for rel in facet_to_facets:
|
||||
if rel[1] in self.faces:
|
||||
self.faces[rel[0]].add_neighbor(self.faces[rel[1]])
|
||||
|
||||
# for matcher in grid.point_re.finditer(qdelaunay_string):
|
||||
# d = matcher.groupdict()
|
||||
|
||||
# point = d['point']
|
||||
# neighboring_facets = d['neigh']
|
||||
|
||||
# self.facets_for_point[int(point[1:])] = [i for i in neighboring_facets.split() if i in self.faces]
|
||||
|
||||
def for_qhull_generator(self):
|
||||
"""
|
||||
this returns a generator that should be fed into qdelaunay
|
||||
"""
|
||||
|
||||
yield '2';
|
||||
yield '%d' % len(self.points)
|
||||
|
||||
for p in self.points:
|
||||
yield "%f %f" % (p[0], p[1])
|
||||
|
||||
def for_qhull(self):
|
||||
"""
|
||||
this returns a single string that should be fed into qdelaunay
|
||||
"""
|
||||
r = '2\n'
|
||||
r += '%d\n' % len(self.points)
|
||||
for p in self.points:
|
||||
r += "%f %f\n" % (p[0], p[1])
|
||||
return r
|
||||
|
||||
def __str__(self):
|
||||
r = ''
|
||||
assert( len(self.points) == len(self.q) )
|
||||
for c, i in enumerate(zip(self.points, self.q)):
|
||||
r += "%d %r: %0.4f" % (c,i[0], i[1])
|
||||
facet_str = ", ".join([f.name for f in self.facets_for_point[c]])
|
||||
r += " faces: [%s]" % facet_str
|
||||
r += "\n"
|
||||
if self.faces:
|
||||
for v in self.faces.itervalues():
|
||||
r += "%s\n" % v
|
||||
return r
|
||||
|
||||
class simple_rect_grid(grid):
|
||||
def __init__(self, xres = 5, yres = 5):
|
||||
xmin = -1.0
|
||||
xmax = 1.0
|
||||
xspan = xmax - xmin
|
||||
xdel = xspan / float(xres - 1)
|
||||
|
||||
ymin = -1.0
|
||||
ymay = 1.0
|
||||
yspan = ymay - ymin
|
||||
ydel = yspan / float(yres - 1)
|
||||
|
||||
|
||||
points = []
|
||||
q = []
|
||||
for x in xrange(xres):
|
||||
cur_x = xmin + (x * xdel)
|
||||
for y in xrange(yres):
|
||||
cur_y = ymin + (y * ydel)
|
||||
points.append([cur_x, cur_y])
|
||||
q.append(exact_func(cur_x, cur_y))
|
||||
grid.__init__(self, points, q)
|
||||
self.construct_connectivity()
|
||||
|
||||
|
||||
|
||||
class simple_random_grid(simple_rect_grid):
|
||||
def __init__(self, num_points = 10):
|
||||
points = []
|
||||
q = []
|
||||
|
||||
r = np.random
|
||||
|
||||
for i in xrange(num_points):
|
||||
cur_x = r.rand()
|
||||
cur_y = r.rand()
|
||||
|
||||
points.append([cur_x, cur_y])
|
||||
q.append(exact_func(cur_x, cur_y))
|
||||
grid.__init__(self, points, q)
|
||||
|
||||
self.points = np.array(self.points)
|
||||
self.q = np.array(self.q)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
try:
|
||||
resolution = int(sys.argv[1])
|
||||
except:
|
||||
resolution = 10
|
||||
g = simple_rect_grid(resolution, resolution)
|
||||
print g.for_qhull()
|
||||
from grid import *
|
||||
|
||||
287
lib/grid/grid.py
Executable file
287
lib/grid/grid.py
Executable file
@ -0,0 +1,287 @@
|
||||
#!/usr/bin/python
|
||||
|
||||
import sys
|
||||
import re
|
||||
from collections import defaultdict
|
||||
|
||||
import numpy as np
|
||||
import scipy.spatial
|
||||
|
||||
from baker import run_baker, get_phis
|
||||
from baker.tools import exact_func, smberror
|
||||
from smcqdelaunay import *
|
||||
|
||||
class face(object):
|
||||
def __init__(self, name):
|
||||
self.name = name
|
||||
self.verts = []
|
||||
self.neighbors = []
|
||||
|
||||
def add_vert(self, v):
|
||||
"""
|
||||
v should be an index into grid.points
|
||||
"""
|
||||
self.verts.append(v)
|
||||
|
||||
def add_neighbor(self, n):
|
||||
"""
|
||||
reference to another face object
|
||||
"""
|
||||
self.neighbors.append(n)
|
||||
|
||||
def contains(self, X, grid):
|
||||
R = [grid.points[i] for i in self.verts]
|
||||
|
||||
phis = get_phis(X, R)
|
||||
|
||||
r = True
|
||||
if [i for i in phis if i < 0.0]:
|
||||
r = False
|
||||
return r
|
||||
|
||||
def __str__(self):
|
||||
neighbors = [i.name for i in self.neighbors]
|
||||
return '%s: verts: %s neighbors: [%s]' %\
|
||||
(
|
||||
self.name,
|
||||
self.verts,
|
||||
", ".join(neighbors)
|
||||
)
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
class grid(object):
|
||||
facet_re = re.compile(r'''
|
||||
-\s+(?P<facet>f\d+).*?
|
||||
vertices:\s(?P<verts>.*?)\n.*?
|
||||
neighboring\s facets:\s+(?P<neigh>[\sf\d]*)
|
||||
''', re.S|re.X)
|
||||
|
||||
point_re = re.compile(r'''
|
||||
-\s+(?P<point>p\d+).*?
|
||||
neighbors:\s+(?P<neigh>[\sf\d]*)
|
||||
''', re.S|re.X)
|
||||
|
||||
vert_re = re.compile(r'''
|
||||
(p\d+)
|
||||
''', re.S|re.X)
|
||||
|
||||
|
||||
def __init__(self, points, q):
|
||||
"""
|
||||
this thing eats two pre-constructed arrays of stuff:
|
||||
points = array of arrays (i will convert to numpy.array)
|
||||
[[x0,y0], [x1,y1], ...]
|
||||
q = array (1D) of important values
|
||||
"""
|
||||
|
||||
self.points = np.array(points)
|
||||
self.q = np.array(q)
|
||||
self.tree = scipy.spatial.KDTree(self.points)
|
||||
self.faces = {}
|
||||
self.facets_for_point = defaultdict(list)
|
||||
|
||||
|
||||
def create_mesh(self, indicies):
|
||||
p = [self.points[i] for i in indicies]
|
||||
q = [self.q[i] for i in indicies]
|
||||
return grid(p, q)
|
||||
|
||||
|
||||
def get_simplex_and_nearest_points(self, X, extra_points = 3, simplex_size = 3):
|
||||
"""
|
||||
this returns two grid objects: R and S.
|
||||
|
||||
R is a grid object that is the (a) containing simplex around point X
|
||||
S is S_j from baker's paper : some points from all point that are not the simplex
|
||||
"""
|
||||
(dist, indicies) = self.tree.query(X, 3 + extra_points)
|
||||
|
||||
|
||||
# get the containing simplex
|
||||
r_mesh = self.create_mesh(indicies[:simplex_size])
|
||||
# and some extra points
|
||||
s_mesh = self.create_mesh(indicies[simplex_size:])
|
||||
|
||||
return (r_mesh, s_mesh)
|
||||
|
||||
def get_points_conn(self, X):
|
||||
"""
|
||||
this returns two grid objects: R and S.
|
||||
|
||||
this function differes from the get_simplex_and_nearest_points
|
||||
function in that it builds up the extra points based on
|
||||
connectivity information, not just nearest-neighbor.
|
||||
in theory, this will work much better for situations like
|
||||
points near a short edge in a boundary layer cell where the
|
||||
nearest points would all be colinear
|
||||
|
||||
R is a grid object that is the (a) containing simplex around point X
|
||||
S is a connectivity-based nearest-neighbor lookup, limited to 3 extra points
|
||||
"""
|
||||
if not self.faces:
|
||||
self.construct_connectivity()
|
||||
|
||||
# get closest point
|
||||
(dist, indicies) = self.tree.query(X, 2)
|
||||
|
||||
simplex = None
|
||||
for i in self.facets_for_point[indicies[0]]:
|
||||
if i.contains(X, self):
|
||||
simplex = i
|
||||
break
|
||||
|
||||
if not simplex:
|
||||
raise AssertionError('no containing simplex found')
|
||||
|
||||
R = self.create_mesh(simplex.verts)
|
||||
|
||||
|
||||
s = []
|
||||
for c,i in enumerate(simplex.neighbors):
|
||||
s.extend([guy for guy in i.verts if not guy in simplex.verts])
|
||||
S = self.create_mesh(s)
|
||||
|
||||
return R, S
|
||||
|
||||
def run_baker(self, X):
|
||||
answer = None
|
||||
|
||||
try:
|
||||
(R, S) = self.get_simplex_and_nearest_points(X)
|
||||
answer = run_baker(X, R, S)
|
||||
except smberror as e:
|
||||
print "caught error: %s, trying with connectivity-based mesh" % e
|
||||
(R, S) = self.get_points_conn(X)
|
||||
answer = run_baker(X, R, S)
|
||||
|
||||
return answer
|
||||
|
||||
|
||||
|
||||
def construct_connectivity(self):
|
||||
"""
|
||||
a call to this method prepares the internal connectivity structure.
|
||||
|
||||
this is part of the __init__ for a simple_rect_grid, but can be called from any grid object
|
||||
"""
|
||||
qdelaunay_string = get_qdelaunay_dump_str(self)
|
||||
facet_to_facets = []
|
||||
for matcher in grid.facet_re.finditer(qdelaunay_string):
|
||||
d = matcher.groupdict()
|
||||
|
||||
facet_name = d['facet']
|
||||
verticies = d['verts']
|
||||
neighboring_facets = d['neigh']
|
||||
|
||||
cur_face = face(facet_name)
|
||||
self.faces[facet_name] = cur_face
|
||||
|
||||
for v in grid.vert_re.findall(verticies):
|
||||
vertex_index = int(v[1:])
|
||||
cur_face.add_vert(vertex_index)
|
||||
self.facets_for_point[vertex_index].append(cur_face)
|
||||
|
||||
nghbrs = [(facet_name, i) for i in neighboring_facets.split()]
|
||||
facet_to_facets.extend(nghbrs)
|
||||
|
||||
for rel in facet_to_facets:
|
||||
if rel[1] in self.faces:
|
||||
self.faces[rel[0]].add_neighbor(self.faces[rel[1]])
|
||||
|
||||
# for matcher in grid.point_re.finditer(qdelaunay_string):
|
||||
# d = matcher.groupdict()
|
||||
|
||||
# point = d['point']
|
||||
# neighboring_facets = d['neigh']
|
||||
|
||||
# self.facets_for_point[int(point[1:])] = [i for i in neighboring_facets.split() if i in self.faces]
|
||||
|
||||
def for_qhull_generator(self):
|
||||
"""
|
||||
this returns a generator that should be fed into qdelaunay
|
||||
"""
|
||||
|
||||
yield '2';
|
||||
yield '%d' % len(self.points)
|
||||
|
||||
for p in self.points:
|
||||
yield "%f %f" % (p[0], p[1])
|
||||
|
||||
def for_qhull(self):
|
||||
"""
|
||||
this returns a single string that should be fed into qdelaunay
|
||||
"""
|
||||
r = '2\n'
|
||||
r += '%d\n' % len(self.points)
|
||||
for p in self.points:
|
||||
r += "%f %f\n" % (p[0], p[1])
|
||||
return r
|
||||
|
||||
def __str__(self):
|
||||
r = ''
|
||||
assert( len(self.points) == len(self.q) )
|
||||
for c, i in enumerate(zip(self.points, self.q)):
|
||||
r += "%d %r: %0.4f" % (c,i[0], i[1])
|
||||
facet_str = ", ".join([f.name for f in self.facets_for_point[c]])
|
||||
r += " faces: [%s]" % facet_str
|
||||
r += "\n"
|
||||
if self.faces:
|
||||
for v in self.faces.itervalues():
|
||||
r += "%s\n" % v
|
||||
return r
|
||||
|
||||
class simple_rect_grid(grid):
|
||||
def __init__(self, xres = 5, yres = 5):
|
||||
xmin = -1.0
|
||||
xmax = 1.0
|
||||
xspan = xmax - xmin
|
||||
xdel = xspan / float(xres - 1)
|
||||
|
||||
ymin = -1.0
|
||||
ymay = 1.0
|
||||
yspan = ymay - ymin
|
||||
ydel = yspan / float(yres - 1)
|
||||
|
||||
|
||||
points = []
|
||||
q = []
|
||||
for x in xrange(xres):
|
||||
cur_x = xmin + (x * xdel)
|
||||
for y in xrange(yres):
|
||||
cur_y = ymin + (y * ydel)
|
||||
points.append([cur_x, cur_y])
|
||||
q.append(exact_func(cur_x, cur_y))
|
||||
grid.__init__(self, points, q)
|
||||
self.construct_connectivity()
|
||||
|
||||
|
||||
|
||||
class simple_random_grid(simple_rect_grid):
|
||||
def __init__(self, num_points = 10):
|
||||
points = []
|
||||
q = []
|
||||
|
||||
r = np.random
|
||||
|
||||
for i in xrange(num_points):
|
||||
cur_x = r.rand()
|
||||
cur_y = r.rand()
|
||||
|
||||
points.append([cur_x, cur_y])
|
||||
q.append(exact_func(cur_x, cur_y))
|
||||
grid.__init__(self, points, q)
|
||||
|
||||
self.points = np.array(self.points)
|
||||
self.q = np.array(self.q)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
try:
|
||||
resolution = int(sys.argv[1])
|
||||
except:
|
||||
resolution = 10
|
||||
g = simple_rect_grid(resolution, resolution)
|
||||
print g.for_qhull()
|
||||
Loading…
Reference in New Issue
Block a user