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from numpy.testing import *
from numpy import mgrid, pi, sin, ogrid
import numpy as np
set_package_path()
from interpolate import interp1d, interp2d
restore_path()
class test_interp2d(NumpyTestCase):
def test_interp2d(self):
y, x = mgrid[0:pi:20j, 0:pi:21j]
z = sin(x+y)
I = interp2d(x, y, z)
assert_almost_equal(I(1.0, 1.0), sin(2.0), decimal=2)
v,u = ogrid[0:pi:24j, 0:pi:25j]
assert_almost_equal(I(u.ravel(), v.ravel()), sin(v+u), decimal=2)
class test_interp1d(NumpyTestCase):
def setUp(self):
self.x10 = np.arange(10.)
self.y10 = np.arange(10.)
self.x25 = self.x10.reshape((2,5))
self.x2 = np.arange(2.)
self.y2 = np.arange(2.)
self.x1 = np.array([0.])
self.y1 = np.array([0.])
self.y210 = np.arange(20.).reshape((2, 10))
self.y102 = np.arange(20.).reshape((10, 2))
self.fill_value = -100.0
def test_validation(self):
""" Make sure that appropriate exceptions are raised when invalid values
are given to the constructor.
"""
# These should all work.
interp1d(self.x10, self.y10, kind='linear')
interp1d(self.x10, self.y10, kind='cubic')
interp1d(self.x10, self.y10, kind='slinear')
interp1d(self.x10, self.y10, kind='quadratic')
interp1d(self.x10, self.y10, kind='zero')
interp1d(self.x10, self.y10, kind=0)
interp1d(self.x10, self.y10, kind=1)
interp1d(self.x10, self.y10, kind=2)
interp1d(self.x10, self.y10, kind=3)
# x array must be 1D.
self.assertRaises(ValueError, interp1d, self.x25, self.y10)
# y array cannot be a scalar.
self.assertRaises(ValueError, interp1d, self.x10, np.array(0))
# Check for x and y arrays having the same length.
self.assertRaises(ValueError, interp1d, self.x10, self.y2)
self.assertRaises(ValueError, interp1d, self.x2, self.y10)
self.assertRaises(ValueError, interp1d, self.x10, self.y102)
interp1d(self.x10, self.y210)
interp1d(self.x10, self.y102, axis=0)
# Check for x and y having at least 1 element.
self.assertRaises(ValueError, interp1d, self.x1, self.y10)
self.assertRaises(ValueError, interp1d, self.x10, self.y1)
self.assertRaises(ValueError, interp1d, self.x1, self.y1)
def test_init(self):
""" Check that the attributes are initialized appropriately by the
constructor.
"""
self.assert_(interp1d(self.x10, self.y10).copy)
self.assert_(not interp1d(self.x10, self.y10, copy=False).copy)
self.assert_(interp1d(self.x10, self.y10).bounds_error)
self.assert_(not interp1d(self.x10, self.y10, bounds_error=False).bounds_error)
self.assert_(np.isnan(interp1d(self.x10, self.y10).fill_value))
self.assertEqual(
interp1d(self.x10, self.y10, fill_value=3.0).fill_value,
3.0,
)
self.assertEqual(
interp1d(self.x10, self.y10).axis,
0,
)
self.assertEqual(
interp1d(self.x10, self.y210).axis,
1,
)
self.assertEqual(
interp1d(self.x10, self.y102, axis=0).axis,
0,
)
assert_array_equal(
interp1d(self.x10, self.y10).x,
self.x10,
)
assert_array_equal(
interp1d(self.x10, self.y10).y,
self.y10,
)
assert_array_equal(
interp1d(self.x10, self.y210).y,
self.y210,
)
def test_linear(self):
""" Check the actual implementation of linear interpolation.
"""
interp10 = interp1d(self.x10, self.y10)
assert_array_almost_equal(
interp10(self.x10),
self.y10,
)
assert_array_almost_equal(
interp10(1.2),
np.array([1.2]),
)
assert_array_almost_equal(
interp10([2.4, 5.6, 6.0]),
np.array([2.4, 5.6, 6.0]),
)
def test_bounds(self):
""" Test that our handling of out-of-bounds input is correct.
"""
extrap10 = interp1d(self.x10, self.y10, fill_value=self.fill_value,
bounds_error=False)
assert_array_equal(
extrap10(11.2),
np.array([self.fill_value]),
)
assert_array_equal(
extrap10(-3.4),
np.array([self.fill_value]),
)
assert_array_equal(
extrap10._check_bounds(np.array([-1.0, 0.0, 5.0, 9.0, 11.0])),
np.array([True, False, False, False, True]),
)
raises_bounds_error = interp1d(self.x10, self.y10, bounds_error=True)
self.assertRaises(ValueError, raises_bounds_error, -1.0)
self.assertRaises(ValueError, raises_bounds_error, 11.0)
raises_bounds_error([0.0, 5.0, 9.0])
def test_nd(self):
""" Check the behavior when the inputs and outputs are multidimensional.
"""
# Multidimensional input.
interp10 = interp1d(self.x10, self.y10)
assert_array_almost_equal(
interp10(np.array([[3.4, 5.6], [2.4, 7.8]])),
np.array([[3.4, 5.6], [2.4, 7.8]]),
)
# Multidimensional outputs.
interp210 = interp1d(self.x10, self.y210)
assert_array_almost_equal(
interp210(1.5),
np.array([[1.5], [11.5]]),
)
assert_array_almost_equal(
interp210(np.array([1.5, 2.4])),
np.array([[1.5, 2.4],
[11.5, 12.4]]),
)
interp102 = interp1d(self.x10, self.y102, axis=0)
assert_array_almost_equal(
interp102(1.5),
np.array([[3.0, 4.0]]),
)
assert_array_almost_equal(
interp102(np.array([1.5, 2.4])),
np.array([[3.0, 4.0],
[4.8, 5.8]]),
)
# Both at the same time!
x_new = np.array([[3.4, 5.6], [2.4, 7.8]])
assert_array_almost_equal(
interp210(x_new),
np.array([[[3.4, 5.6], [2.4, 7.8]],
[[13.4, 15.6], [12.4, 17.8]]]),
)
assert_array_almost_equal(
interp102(x_new),
np.array([[[6.8, 7.8], [11.2, 12.2]],
[[4.8, 5.8], [15.6, 16.6]]]),
)
if __name__ == "__main__":
NumpyTest().run()
|
