replaced answer with a namedtuple
This commit is contained in:
parent
837a72b246
commit
0577356cd7
@ -1,8 +1,9 @@
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import numpy as np
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from collections import namedtuple
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from functools import wraps
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import itertools
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import numpy as np
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import interp
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AGGRESSIVE_ERROR_SOLVE = True
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@ -10,6 +11,8 @@ RAISE_PATHOLOGICAL_EXCEPTION = False
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__version__ = interp.__version__
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Answer = namedtuple("Answer", ['qlin', 'final', 'error', 'abc'])
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def get_phis(X, R):
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"""
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@ -124,7 +127,7 @@ def get_error(phi, R, R_q, S, S_q, order=2):
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return error_term, abc
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def run_baker(X, R, R_q, S, S_q, order=2):
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def interpolate(X, R, R_q, S=None, S_q=None, order=2):
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"""
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This is the main function to call to get an interpolation to X from the
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input meshes
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@ -132,23 +135,22 @@ def run_baker(X, R, R_q, S, S_q, order=2):
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X -- the destination point
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R = Simplex
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R_q = q values at R
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S = extra points
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S_q = q values at S
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order - order of interpolation - 1
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"""
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answer = {
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'qlin': None,
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'error': None,
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'final': None,
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}
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qlin=None
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error_term=None
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final=None
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abc={}
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# calculate values only for the simplex triangle
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phi, qlin = qlinear(X, R, R_q)
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if order == 1:
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answer['qlin'] = qlin
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answer['final'] = qlin
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return answer
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elif order in xrange(2, 11):
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if order in xrange(2, 11) and S:
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error_term, abc = get_error(phi, R, R_q, S, S_q, order)
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# if a pathological vertex configuration was encountered and
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@ -157,20 +159,13 @@ def run_baker(X, R, R_q, S, S_q, order=2):
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if (error_term is None) and (abc is None):
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if RAISE_PATHOLOGICAL_EXCEPTION:
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raise np.linalg.LinAlgError("Pathological Vertex Config")
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answer['qlin'] = qlin
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answer['final'] = qlin
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return answer
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else:
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else:
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final = qlin + error_term
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elif order not in xrange(2,11):
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raise Exception('unsupported order "%d" for baker method' % order)
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q_final = qlin + error_term
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answer['qlin'] = qlin
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answer['error'] = error_term
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answer['final'] = q_final
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answer['abc'] = abc
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return answer
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return Answer(qlin=qlin, error=error_term, final=final, abc=abc)
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def memoize(f):
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@ -6,7 +6,7 @@ from xml.dom.minidom import Document
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import numpy as np
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from scipy.spatial import KDTree
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from interp.baker import run_baker
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from interp.baker import interpolate
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from interp.baker import get_phis
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import interp
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@ -136,9 +136,9 @@ class grid(object):
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return (r_mesh, s_mesh)
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def run_baker(self, X, order=2, extra_points=3):
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def interpolate(self, X, order=2, extra_points=3):
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(R, S) = self.get_simplex_and_nearest_points(X, extra_points)
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answer = run_baker(X, R, S, order)
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answer = interpolate(X, R, S, order)
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return answer
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def for_qhull_generator(self):
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@ -45,6 +45,10 @@ def baker_exact_3D(X):
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np.sin(z * np.pi / 2.0)), 2)
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return answer
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def exact_me(X, f):
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a = np.array([f(i) for i in X])
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return a
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def friendly_exact_3D(X):
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x, y, z = X
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@ -67,6 +71,9 @@ def improved_answer(answer, exact):
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else:
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return False
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def identical_points(a,b):
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return all(set(j[i] for j in a) \
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== set(j[i] for j in b) for i in xrange(len(a[0])))
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def improved(qlin, err, final, exact):
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if np.abs(final - exact) <= np.abs(qlin - exact):
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@ -21,4 +21,4 @@ if __name__ == '__main__':
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]
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for test in tests:
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unittest.TextTestRunner(verbosity=3).run(test)
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unittest.TextTestRunner(verbosity=1).run(test)
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@ -3,6 +3,7 @@
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import unittest
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from interp import baker
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from interp.baker import Answer
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class Test(unittest.TestCase):
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@ -68,6 +69,17 @@ class Test(unittest.TestCase):
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self.assertAlmostEqual(result, right_answer)
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def testRunBaker_linear(self):
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size_of_simplex = 3
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R, R_q = (self.all_points[:size_of_simplex],
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self.q[:size_of_simplex])
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answer = baker.interpolate(self.X, R, R_q)
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good_answer = Answer(qlin=0.5, final=None, error=None, abc={})
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self.assertEqual(answer, good_answer)
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def testRunBaker_1(self):
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size_of_simplex = 3
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extra_points = 3
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@ -79,11 +91,11 @@ class Test(unittest.TestCase):
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+ extra_points],
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self.q[size_of_simplex:size_of_simplex + extra_points])
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answer = baker.run_baker(self.X, R, R_q, S, S_q)
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answer = baker.interpolate(self.X, R, R_q, S, S_q)
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a = answer['abc'][0]
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b = answer['abc'][1]
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c = answer['abc'][2]
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a = answer.abc[0]
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b = answer.abc[1]
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c = answer.abc[2]
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self.assertEqual(sorted((a, b, c)), sorted((0, 0.0, 1 / 3.)))
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@ -97,9 +109,9 @@ class Test(unittest.TestCase):
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+ extra_points],
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self.q[size_of_simplex:size_of_simplex + extra_points])
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answer = baker.run_baker(self.X, R, R_q, S, S_q)
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answer = baker.interpolate(self.X, R, R_q, S, S_q)
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a, b, c = sorted(answer['abc'])
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a, b, c = sorted(answer.abc)
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aa, bb, cc = sorted((2 / 3.0, 2 / 3.0, 1 / 3.0))
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self.assertAlmostEqual(a, aa)
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@ -115,11 +127,11 @@ class Test(unittest.TestCase):
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S, S_q = (self.all_points[size_of_simplex:size_of_simplex \
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+ extra_points],
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self.q[size_of_simplex:size_of_simplex + extra_points])
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answer = baker.run_baker(self.X, R, R_q, S, S_q)
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answer = baker.interpolate(self.X, R, R_q, S, S_q)
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a = answer['abc'][0]
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b = answer['abc'][1]
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c = answer['abc'][2]
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a = answer.abc[0]
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b = answer.abc[1]
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c = answer.abc[2]
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a, b, c = sorted((a, b, c))
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aa, bb, cc = sorted((13 / 14., 2 / 7., 15 / 14.))
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@ -137,11 +149,11 @@ class Test(unittest.TestCase):
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S, S_q = (self.all_points[size_of_simplex:size_of_simplex \
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+ extra_points],
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self.q[size_of_simplex:size_of_simplex + extra_points])
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answer = baker.run_baker(self.X, R, R_q, S, S_q)
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answer = baker.interpolate(self.X, R, R_q, S, S_q)
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a = answer['abc'][0]
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b = answer['abc'][1]
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c = answer['abc'][2]
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a = answer.abc[0]
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b = answer.abc[1]
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c = answer.abc[2]
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a, b, c = sorted((a, b, c))
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aa, bb, cc = sorted((48 / 53.0, 15 / 53.0, 54 / 53.0))
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@ -77,7 +77,7 @@ class Test(unittest.TestCase):
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self.phis, self.qlin = baker.qlinear(self.X, self.R, self.q)
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self.exact = exact_func(self.X)
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self.answer = baker.run_baker(self.X, self.R,
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self.answer = baker.interpolate(self.X, self.R,
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self.R_q, self.S, self.S_q)
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def test_R_contains_X(self):
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@ -86,22 +86,22 @@ class Test(unittest.TestCase):
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def test_1(self):
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a, b, c, d, e, f = (0, 1, 1, 2, 2, 0)
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err = calculate_error_term(self, a, b, c, d, e, f)
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self.assertAlmostEqual(err, self.answer['error'])
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self.assertAlmostEqual(err, self.answer.error)
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def test_swap_first_elements(self):
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a, b, c, d, e, f = (1, 0, 1, 2, 2, 0)
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err = calculate_error_term(self, a, b, c, d, e, f)
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self.assertAlmostEqual(err, self.answer['error'])
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self.assertAlmostEqual(err, self.answer.error)
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def test_swap_two_pairs(self):
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a, b, c, d, e, f = (1, 2, 0, 1, 2, 0)
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err = calculate_error_term(self, a, b, c, d, e, f)
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self.assertAlmostEqual(err, self.answer['error'])
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self.assertAlmostEqual(err, self.answer.error)
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def test_swap_all_pairs(self):
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a, b, c, d, e, f = (0, 2, 0, 1, 2, 1)
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err = calculate_error_term(self, a, b, c, d, e, f)
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self.assertAlmostEqual(err, self.answer['error'])
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self.assertAlmostEqual(err, self.answer.error)
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if __name__ == '__main__':
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@ -2,9 +2,8 @@
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import unittest
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from interp.baker import run_baker
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from interp.grid import contains
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from interp.baker import interpolate
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from interp.grid import contains
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def exact_func(X):
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@ -36,42 +35,42 @@ class Test(unittest.TestCase):
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def test_RunBaker_1_extra_point(self, extra=1):
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S = self.g[3:3 + extra]
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S_q = self.q[3:3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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# expected failure ...
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self.assertTrue(lin_err >= final_err)
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def test_RunBaker_2_extra_point(self, extra=2):
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S = self.g[3: 3 + extra]
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S_q = self.q[3:3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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self.assertTrue(lin_err >= final_err)
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def test_RunBaker_3_extra_point(self, extra=3):
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S = self.g[3: 3 + extra]
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S_q = self.q[3:3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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self.assertTrue(lin_err >= final_err)
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def test_RunBaker_4_extra_point(self, extra=4):
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S = self.g[3: 3 + extra]
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S_q = self.q[3:3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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self.assertTrue(lin_err >= final_err)
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def test_RunBaker_5_extra_point(self, extra=5):
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S = self.g[3: 3 + extra]
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S_q = self.q[3:3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q, order=3)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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self.assertTrue(lin_err >= final_err)
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if __name__ == '__main__':
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@ -2,8 +2,7 @@
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import unittest
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from interp.baker import run_baker
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from interp.baker import interpolate
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from interp.grid import grid
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from interp.grid import contains
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@ -41,9 +40,9 @@ class Test(unittest.TestCase):
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def test_RunBaker_1_extra_point(self, extra=1):
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S = self.g[3: 3 + extra]
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S_q = self.q[3: 3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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#XXX: not sure about this one:
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self.assertEqual(lin_err, final_err)
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@ -51,33 +50,33 @@ class Test(unittest.TestCase):
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def test_RunBaker_2_extra_point(self, extra=2):
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S = self.g[3: 3 + extra]
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S_q = self.q[3: 3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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self.assertTrue(lin_err >= final_err)
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def test_RunBaker_3_extra_point(self, extra=3):
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S = self.g[3: 3 + extra]
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S_q = self.q[3: 3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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self.assertTrue(lin_err >= final_err)
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def test_RunBaker_4_extra_point(self, extra=4):
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S = self.g[3: 3 + extra]
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S_q = self.q[3: 3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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self.assertTrue(lin_err >= final_err)
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def test_RunBaker_5_extra_point(self, extra=5):
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S = self.g[3: 3 + extra]
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S_q = self.q[3: 3 + extra]
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answer = run_baker(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer['qlin'])
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final_err = abs(self.exact - answer['final'])
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answer = interpolate(self.X, self.R, self.R_q, S, S_q)
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lin_err = abs(self.exact - answer.qlin)
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final_err = abs(self.exact - answer.final)
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self.assertTrue(lin_err >= final_err)
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if __name__ == '__main__':
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