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+# coding: utf-8
+# /*##########################################################################
+# Copyright (C) 2016 European Synchrotron Radiation Facility
+#
+# Permission is hereby granted, free of charge, to any person obtaining a copy
+# of this software and associated documentation files (the "Software"), to deal
+# in the Software without restriction, including without limitation the rights
+# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+# copies of the Software, and to permit persons to whom the Software is
+# furnished to do so, subject to the following conditions:
+#
+# The above copyright notice and this permission notice shall be included in
+# all copies or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+# THE SOFTWARE.
+#
+# ############################################################################*/
+import copy
+import unittest
+import numpy
+import random
+
+from silx.math.fit import bgtheories
+from silx.math.fit.functions import sum_gauss
+
+
+class TestBgTheories(unittest.TestCase):
+ """
+ """
+ def setUp(self):
+ self.x = numpy.arange(100)
+ self.y = 10 + 0.05 * self.x + sum_gauss(self.x, 10., 45., 15.)
+ # add a very narrow high amplitude peak to test strip and snip
+ self.y += sum_gauss(self.x, 100., 75., 2.)
+ self.narrow_peak_index = list(self.x).index(75)
+ random.seed()
+
+ def tearDown(self):
+ pass
+
+ def testTheoriesAttrs(self):
+ for theory_name in bgtheories.THEORY:
+ self.assertIsInstance(theory_name, str)
+ self.assertTrue(hasattr(bgtheories.THEORY[theory_name],
+ "function"))
+ self.assertTrue(hasattr(bgtheories.THEORY[theory_name].function,
+ "__call__"))
+ # Ensure legacy functions are not renamed accidentally
+ self.assertTrue(
+ {"No Background", "Constant", "Linear", "Strip", "Snip"}.issubset(
+ set(bgtheories.THEORY)))
+
+ def testNoBg(self):
+ nobgfun = bgtheories.THEORY["No Background"].function
+ self.assertTrue(numpy.array_equal(nobgfun(self.x, self.y),
+ numpy.zeros_like(self.x)))
+ # default estimate
+ self.assertEqual(bgtheories.THEORY["No Background"].estimate(self.x, self.y),
+ ([], []))
+
+ def testConstant(self):
+ consfun = bgtheories.THEORY["Constant"].function
+ c = random.random() * 100
+ self.assertTrue(numpy.array_equal(consfun(self.x, self.y, c),
+ c * numpy.ones_like(self.x)))
+ # default estimate
+ esti_par, cons = bgtheories.THEORY["Constant"].estimate(self.x, self.y)
+ self.assertEqual(cons,
+ [[0, 0, 0]])
+ self.assertAlmostEqual(esti_par,
+ min(self.y))
+
+ def testLinear(self):
+ linfun = bgtheories.THEORY["Linear"].function
+ a = random.random() * 100
+ b = random.random() * 100
+ self.assertTrue(numpy.array_equal(linfun(self.x, self.y, a, b),
+ a + b * self.x))
+ # default estimate
+ esti_par, cons = bgtheories.THEORY["Linear"].estimate(self.x, self.y)
+
+ self.assertEqual(cons,
+ [[0, 0, 0], [0, 0, 0]])
+ self.assertAlmostEqual(esti_par[0], 10, places=3)
+ self.assertAlmostEqual(esti_par[1], 0.05, places=3)
+
+ def testStrip(self):
+ stripfun = bgtheories.THEORY["Strip"].function
+ anchors = sorted(random.sample(list(self.x), 4))
+ anchors_indices = [list(self.x).index(a) for a in anchors]
+
+ # we really want to strip away the narrow peak
+ anchors_indices_copy = copy.deepcopy(anchors_indices)
+ for idx in anchors_indices_copy:
+ if abs(idx - self.narrow_peak_index) < 5:
+ anchors_indices.remove(idx)
+ anchors.remove(self.x[idx])
+
+ width = 2
+ niter = 1000
+ bgtheories.THEORY["Strip"].configure(AnchorsList=anchors, AnchorsFlag=True)
+
+ bg = stripfun(self.x, self.y, width, niter)
+
+ # assert peak amplitude has been decreased
+ self.assertLess(bg[self.narrow_peak_index],
+ self.y[self.narrow_peak_index])
+
+ # default estimate
+ for i in anchors_indices:
+ self.assertEqual(bg[i], self.y[i])
+
+ # estimated parameters are equal to the default ones in the config dict
+ bgtheories.THEORY["Strip"].configure(StripWidth=7, StripIterations=8)
+ esti_par, cons = bgtheories.THEORY["Strip"].estimate(self.x, self.y)
+ self.assertTrue(numpy.array_equal(cons, [[3, 0, 0], [3, 0, 0]]))
+ self.assertEqual(esti_par, [7, 8])
+
+ def testSnip(self):
+ snipfun = bgtheories.THEORY["Snip"].function
+ anchors = sorted(random.sample(list(self.x), 4))
+ anchors_indices = [list(self.x).index(a) for a in anchors]
+
+ # we want to strip away the narrow peak, so remove nearby anchors
+ anchors_indices_copy = copy.deepcopy(anchors_indices)
+ for idx in anchors_indices_copy:
+ if abs(idx - self.narrow_peak_index) < 5:
+ anchors_indices.remove(idx)
+ anchors.remove(self.x[idx])
+
+ width = 16
+ bgtheories.THEORY["Snip"].configure(AnchorsList=anchors, AnchorsFlag=True)
+ bg = snipfun(self.x, self.y, width)
+
+ # assert peak amplitude has been decreased
+ self.assertLess(bg[self.narrow_peak_index],
+ self.y[self.narrow_peak_index],
+ "Snip didn't decrease the peak amplitude.")
+
+ # anchored data must remain fixed
+ for i in anchors_indices:
+ self.assertEqual(bg[i], self.y[i])
+
+ # estimated parameters are equal to the default ones in the config dict
+ bgtheories.THEORY["Snip"].configure(SnipWidth=7)
+ esti_par, cons = bgtheories.THEORY["Snip"].estimate(self.x, self.y)
+ self.assertTrue(numpy.array_equal(cons, [[3, 0, 0]]))
+ self.assertEqual(esti_par, [7])