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# coding: utf-8
# /*##########################################################################
#
# Copyright (c) 2019 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.
#
# ############################################################################*/
"""Test for interpolate module"""
__authors__ = ["T. Vincent"]
__license__ = "MIT"
__date__ = "11/07/2019"
import unittest
import numpy
try:
from scipy.interpolate import interpn
except ImportError:
interpn = None
from silx.utils.testutils import ParametricTestCase
from silx.math import interpolate
@unittest.skipUnless(interpn is not None, "scipy missing")
class TestInterp3d(ParametricTestCase):
"""Test silx.math.interpolate.interp3d"""
@staticmethod
def ref_interp3d(data, points):
"""Reference implementation of interp3d based on scipy
:param numpy.ndarray data: 3D floating dataset
:param numpy.ndarray points: Array of points of shape (N, 3)
"""
return interpn(
[numpy.arange(dim, dtype=data.dtype) for dim in data.shape],
data,
points,
method='linear')
def test_random_data(self):
"""Test interp3d with random data"""
size = 32
npoints = 10
ref_data = numpy.random.random((size, size, size))
ref_points = numpy.random.random(npoints*3).reshape(npoints, 3) * (size -1)
for dtype in (numpy.float32, numpy.float64):
data = ref_data.astype(dtype)
points = ref_points.astype(dtype)
ref_result = self.ref_interp3d(data, points)
for method in (u'linear', u'linear_omp'):
with self.subTest(method=method):
result = interpolate.interp3d(data, points, method=method)
self.assertTrue(numpy.allclose(ref_result, result))
def test_notfinite_data(self):
"""Test interp3d with NaN and inf"""
data = numpy.ones((3, 3, 3), dtype=numpy.float64)
data[0, 0, 0] = numpy.nan
data[2, 2, 2] = numpy.inf
points = numpy.array([(0.5, 0.5, 0.5),
(1.5, 1.5, 1.5)])
for method in (u'linear', u'linear_omp'):
with self.subTest(method=method):
result = interpolate.interp3d(
data, points, method=method)
self.assertTrue(numpy.isnan(result[0]))
self.assertTrue(result[1] == numpy.inf)
def test_points_outside(self):
"""Test interp3d with points outside the volume"""
data = numpy.ones((4, 4, 4), dtype=numpy.float64)
points = numpy.array([(-0.1, -0.1, -0.1),
(3.1, 3.1, 3.1),
(-0.1, 1., 1.),
(1., 1., 3.1)])
for method in (u'linear', u'linear_omp'):
for fill_value in (numpy.nan, 0., -1.):
with self.subTest(method=method):
result = interpolate.interp3d(
data, points, method=method, fill_value=fill_value)
if numpy.isnan(fill_value):
self.assertTrue(numpy.all(numpy.isnan(result)))
else:
self.assertTrue(numpy.all(numpy.equal(result, fill_value)))
def test_integer_points(self):
"""Test interp3d with integer points coord"""
data = numpy.arange(4**3, dtype=numpy.float64).reshape(4, 4, 4)
points = numpy.array([(0., 0., 0.),
(0., 0., 1.),
(2., 3., 0.),
(3., 3., 3.)])
ref_result = data[tuple(points.T.astype(numpy.int32))]
for method in (u'linear', u'linear_omp'):
with self.subTest(method=method):
result = interpolate.interp3d(data, points, method=method)
self.assertTrue(numpy.allclose(ref_result, result))
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