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# Licensed under a 3-clause BSD style license - see LICENSE.rst
from __future__ import (absolute_import, division, print_function,
unicode_literals)
import itertools
import numpy as np
from numpy.testing import assert_allclose
from ...tests.helper import pytest
from ..utils import discretize_model
from ...modeling.functional_models import (
Gaussian1D, Box1D, MexicanHat1D, Gaussian2D, Box2D, MexicanHat2D)
from ...modeling.tests.example_models import models_1D, models_2D
from ...modeling.tests.test_models import create_model
try:
import scipy # pylint: disable=W0611
HAS_SCIPY = True
except ImportError:
HAS_SCIPY = False
modes = ['center', 'linear_interp', 'oversample']
test_models_1D = [Gaussian1D, Box1D, MexicanHat1D]
test_models_2D = [Gaussian2D, Box2D, MexicanHat2D]
@pytest.mark.parametrize(('model_class', 'mode'), list(itertools.product(test_models_1D, modes)))
def test_pixel_sum_1D(model_class, mode):
"""
Test if the sum of all pixels corresponds nearly to the integral.
"""
if model_class == Box1D and mode == "center":
pytest.skip("Non integrating mode. Skip integral test.")
parameters = models_1D[model_class]
model = create_model(model_class, parameters)
values = discretize_model(model, models_1D[model_class]['x_lim'], mode=mode)
assert_allclose(values.sum(), models_1D[model_class]['integral'], atol=0.0001)
@pytest.mark.parametrize('mode', modes)
def test_gaussian_eval_1D(mode):
"""
Discretize Gaussian with different modes and check
if result is at least similar to Gaussian1D.eval().
"""
model = Gaussian1D(1, 0, 20)
x = np.arange(-100, 101)
values = model(x)
disc_values = discretize_model(model, (-100, 101), mode=mode)
assert_allclose(values, disc_values, atol=0.001)
@pytest.mark.parametrize(('model_class', 'mode'), list(itertools.product(test_models_2D, modes)))
def test_pixel_sum_2D(model_class, mode):
"""
Test if the sum of all pixels corresponds nearly to the integral.
"""
if model_class == Box2D and mode == "center":
pytest.skip("Non integrating mode. Skip integral test.")
parameters = models_2D[model_class]
model = create_model(model_class, parameters)
values = discretize_model(model, models_2D[model_class]['x_lim'],
models_2D[model_class]['y_lim'], mode=mode)
assert_allclose(values.sum(), models_2D[model_class]['integral'], atol=0.0001)
@pytest.mark.parametrize('mode', modes)
def test_gaussian_eval_2D(mode):
"""
Discretize Gaussian with different modes and check
if result is at least similar to Gaussian1D.eval()
"""
model = Gaussian2D(1, 0, 0, 20, 20)
x = np.arange(-100, 101)
y = np.arange(-100, 101)
x, y = np.meshgrid(x, y)
values = model(x, y)
disc_values = discretize_model(model, (-100, 101), (-100, 101), mode=mode)
assert_allclose(values, disc_values, atol=0.001)
@pytest.mark.skipif('not HAS_SCIPY')
def test_subpixel_gauss_1D():
"""
Test subpixel accuracy of the oversample mode with gaussian 1D model.
"""
gauss_1D = Gaussian1D(1, 0, 0.1)
values = discretize_model(gauss_1D, (-1, 2), mode='integrate', factor=100)
assert_allclose(values.sum(), np.sqrt(2 * np.pi) * 0.1, atol=0.00001)
@pytest.mark.skipif('not HAS_SCIPY')
def test_subpixel_gauss_2D():
"""
Test subpixel accuracy of the oversample mode with gaussian 2D model.
"""
gauss_2D = Gaussian2D(1, 0, 0, 0.1, 0.1)
values = discretize_model(gauss_2D, (-1, 2), (-1, 2), mode='integrate', factor=100)
assert_allclose(values.sum(), 2 * np.pi * 0.01, atol=0.00001)
def test_discretize_callable_1d():
"""
Test discretize when a 1d function is passed.
"""
def f(x):
return x ** 2
y = discretize_model(f, (-5, 6))
assert_allclose(y, np.arange(-5, 6) ** 2)
def test_discretize_callable_2d():
"""
Test discretize when a 2d function is passed.
"""
def f(x, y):
return x ** 2 + y ** 2
actual = discretize_model(f, (-5, 6), (-5, 6))
y, x = (np.indices((11, 11)) - 5)
desired = x ** 2 + y ** 2
assert_allclose(actual, desired)
def test_type_exception():
"""
Test type exception.
"""
with pytest.raises(TypeError) as exc:
discretize_model(float(0), (-10, 11))
assert exc.value.args[0] == 'Model must be callable.'
def test_dim_exception_1d():
"""
Test dimension exception 1d.
"""
def f(x):
return x ** 2
with pytest.raises(ValueError) as exc:
discretize_model(f, (-10, 11), (-10, 11))
assert exc.value.args[0] == "y range specified, but model is only 1-d."
def test_dim_exception_2d():
"""
Test dimension exception 2d.
"""
def f(x, y):
return x ** 2 + y ** 2
with pytest.raises(ValueError) as exc:
discretize_model(f, (-10, 11))
assert exc.value.args[0] == "y range not specified, but model is 2-d"
def test_float_x_range_exception():
def f(x, y):
return x ** 2 + y ** 2
with pytest.raises(ValueError) as exc:
discretize_model(f, (-10.002, 11.23))
assert exc.value.args[0] == ("The difference between the upper an lower"
" limit of 'x_range' must be a whole number.")
def test_float_y_range_exception():
def f(x, y):
return x ** 2 + y ** 2
with pytest.raises(ValueError) as exc:
discretize_model(f, (-10, 11), (-10.002, 11.23))
assert exc.value.args[0] == ("The difference between the upper an lower"
" limit of 'y_range' must be a whole number.")
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