def test_first_derivative_xarray_pint_conversion(test_da_lonlat):
"""Test first derivative with implicit xarray to pint quantity conversion."""
dx, _ = grid_deltas_from_dataarray(test_da_lonlat)
deriv = first_derivative(test_da_lonlat, delta=dx, axis=-1)
truth = np.array([[[-3.30782978e-06] * 4, [-3.42816074e-06] * 4, [-3.57012948e-06] * 4,
[-3.73759364e-06] * 4]] * 3) * units('kelvin / meter')
assert_array_almost_equal(deriv, truth, 12)
def test_smooth_gaussian():
"""Test the smooth_gaussian function with a larger n."""
m = 10
s = np.zeros((m, m))
for i in np.ndindex(s.shape):
s[i] = i[0] + i[1]**2
s = smooth_gaussian(s, 4)
s_true = np.array([[0.40077472, 1.59215426, 4.59665817, 9.59665817, 16.59665817,
25.59665817, 36.59665817, 49.59665817, 64.51108392, 77.87487258],
[1.20939518, 2.40077472, 5.40527863, 10.40527863, 17.40527863,
26.40527863, 37.40527863, 50.40527863, 65.31970438, 78.68349304],
[2.20489127, 3.39627081, 6.40077472, 11.40077472, 18.40077472,
27.40077472, 38.40077472, 51.40077472, 66.31520047, 79.67898913],
[3.20489127, 4.39627081, 7.40077472, 12.40077472, 19.40077472,
28.40077472, 39.40077472, 52.40077472, 67.31520047, 80.67898913],
[4.20489127, 5.39627081, 8.40077472, 13.40077472, 20.40077472,
29.40077472, 40.40077472, 53.40077472, 68.31520047, 81.67898913],
[5.20489127, 6.39627081, 9.40077472, 14.40077472, 21.40077472,
30.40077472, 41.40077472, 54.40077472, 69.31520047, 82.67898913],
[6.20489127, 7.39627081, 10.40077472, 15.40077472, 22.40077472,
31.40077472, 42.40077472, 55.40077472, 70.31520047, 83.67898913],
[7.20489127, 8.39627081, 11.40077472, 16.40077472, 23.40077472,
32.40077472, 43.40077472, 56.40077472, 71.31520047, 84.67898913],
[8.20038736, 9.3917669, 12.39627081, 17.39627081, 24.39627081,
33.39627081, 44.39627081, 57.39627081, 72.31069656, 85.67448522],
[9.00900782, 10.20038736, 13.20489127, 18.20489127, 25.20489127,
34.20489127, 45.20489127, 58.20489127, 73.11931702, 86.48310568]])
assert_array_almost_equal(s, s_true)
def test_first_derivative(deriv_1d_data):
"""Test first_derivative with a simple 1D array."""
dv_dx = first_derivative(deriv_1d_data.values, x=deriv_1d_data.x)
# Worked by hand and taken from Chapra and Canale 23.2
truth = np.array([-1.333333, -1.06666667, -0.5333333]) * units('delta_degC / cm')
assert_array_almost_equal(dv_dx, truth, 5)
def test_find_intersections(direction, expected):
"""Test finding the intersection of two curves functionality."""
x = np.linspace(5, 30, 17)
y1 = 3 * x**2
y2 = 100 * x - 650
# Note: Truth is what we will get with this sampling, not the mathematical intersection
assert_array_almost_equal(expected, find_intersections(x, y1, y2, direction=direction), 2)
def test_laplacian(deriv_1d_data):
"""Test laplacian with simple 1D data."""
laplac = laplacian(deriv_1d_data.values, coordinates=(deriv_1d_data.x,))
# Worked by hand
truth = np.ones_like(deriv_1d_data.values) * 0.2133333 * units('delta_degC/cm**2')
assert_array_almost_equal(laplac, truth, 5)
def test_second_derivative(deriv_1d_data):
"""Test second_derivative with a simple 1D array."""
d2v_dx2 = second_derivative(deriv_1d_data.values, x=deriv_1d_data.x)
# Worked by hand
truth = np.ones_like(deriv_1d_data.values) * 0.2133333 * units('delta_degC/cm**2')
assert_array_almost_equal(d2v_dx2, truth, 5)
def test_parcel_profile_saturated():
"""Test parcel_profile works when LCL in levels (issue #232)."""
levels = np.array([1000., 700., 500.]) * units.mbar
true_prof = np.array([296.95, 284.381, 271.123]) * units.kelvin
prof = parcel_profile(levels, 23.8 * units.degC, 23.8 * units.degC)
assert_array_almost_equal(prof, true_prof, 2)
def test_basic_dewpoint_rh():
"""Test dewpoint_rh function."""
temp = np.array([30., 25., 10., 20., 25.]) * units.degC
rh = np.array([30., 45., 55., 80., 85.]) / 100.
real_td = np.array([11, 12, 1, 16, 22]) * units.degC
assert_array_almost_equal(real_td, dewpoint_rh(temp, rh), 0)
def test_grid_deltas_from_dataarray_xy(test_da_xy):
"""Test grid_deltas_from_dataarray with a xy grid."""
dx, dy = grid_deltas_from_dataarray(test_da_xy)
true_dx = np.array([[[[500] * 3]]]) * units('km')
true_dy = np.array([[[[500]] * 3]]) * units('km')
assert_array_almost_equal(dx, true_dx, 5)
assert_array_almost_equal(dy, true_dy, 5)
def test_temperature_from_potential_temperature():
"""Test temperature_from_potential_temperature calculation."""
theta = np.array([286.12859679, 288.22362587, 290.31865495, 292.41368403]) * units.kelvin
pres = np.array([850] * 4) * units.mbar
real_t = np.array([273.15, 275.15, 277.15, 279.15]) * units.kelvin
assert_array_almost_equal(temperature_from_potential_temperature(pres, theta),
real_t, 2)
def test_basic(self):
levels = np.array([1000., 900., 800., 700., 600., 500., 400.]) * units.mbar
true_prof = np.array([303.15, 294.16, 288.026, 283.073, 277.058, 269.402,
258.966]) * units.kelvin
prof = parcel_profile(levels, 30. * units.degC, 20. * units.degC)
assert_array_almost_equal(prof, true_prof, 2)
def test_log_interpolate_3d():
"""Test interpolating with log x-scale 3 dimensions along second axis."""
x_log = np.ones((3, 4, 3)) * np.array([1e3, 1e4, 1e5, 1e6]).reshape(-1, 1)
y_log = np.log(x_log) * 2 + 3
x_interp = np.array([5e3, 5e4, 5e5])
y_interp_truth = np.array([20.0343863828, 24.6395565688, 29.2447267548])
y_interp = log_interpolate_1d(x_interp, x_log, y_log, axis=1)
assert_array_almost_equal(y_interp[0, :, 0], y_interp_truth, 7)
def test_sigma_to_pressure():
"""Test sigma_to_pressure."""
surface_pressure = 1000. * units.hPa
model_top_pressure = 0. * units.hPa
sigma = np.arange(0., 1.1, 0.1)
expected = np.arange(0., 1100., 100.) * units.hPa
pressure = sigma_to_pressure(sigma, surface_pressure, model_top_pressure)
assert_array_almost_equal(pressure, expected, 5)
def test_log_interpolate_1d_units():
"""Test interpolating with log x-scale with units."""
x_log = np.array([1e3, 1e4, 1e5, 1e6]) * units.hPa
y_log = (np.log(x_log.m) * 2 + 3) * units.degC
x_interp = np.array([5e5, 5e6, 5e7]) * units.Pa
y_interp_truth = np.array([20.0343863828, 24.6395565688, 29.2447267548]) * units.degC
y_interp = log_interpolate_1d(x_interp, x_log, y_log)
assert_array_almost_equal(y_interp, y_interp_truth, 7)
def test_log_interpolate_2d():
"""Test interpolating with log x-scale in 2 dimensions."""
x_log = np.array([[1e3, 1e4, 1e5, 1e6], [1e3, 1e4, 1e5, 1e6]])
y_log = np.log(x_log) * 2 + 3
x_interp = np.array([5e3, 5e4, 5e5])
y_interp_truth = np.array([20.0343863828, 24.6395565688, 29.2447267548])
y_interp = log_interpolate_1d(x_interp, x_log, y_log, axis=1)
assert_array_almost_equal(y_interp[1], y_interp_truth, 7)
def test_interpolate_masked_units():
"""Test interpolating with masked arrays with units."""
x = np.ma.array([1., 2., 3., 4.]) * units.m
y = np.ma.array([50., 60., 70., 80.]) * units.degC
x_interp = np.array([250., 350.]) * units.cm
y_interp_truth = np.array([65., 75.]) * units.degC
y_interp = interpolate_1d(x_interp, x, y)
assert_array_almost_equal(y_interp, y_interp_truth, 7)
def test_interpolate_nans_1d_log():
"""Test log interpolation of arrays with NaNs in the y-coordinate."""
x = np.logspace(1, 5, 15)
y = 5 * np.log(x) + 3
nan_indexes = [1, 5, 11, 12]
y_with_nan = y.copy()
y_with_nan[nan_indexes] = np.nan
assert_array_almost_equal(y, interpolate_nans_1d(x, y_with_nan, kind='log'), 2)
def test_interpolate_decrease_xp():
"""Test interpolation with decreasing order."""
x = np.array([4., 3., 2., 1.])
y = x
x_interp = np.array([3.5000000, 2.5000000])
y_interp_truth = np.array([3.5000000, 2.5000000])
y_interp = interpolate_1d(x_interp, x, y)
assert_array_almost_equal(y_interp, y_interp_truth, 7)
def test_interpolate_end_point():
"""Test interpolation with point at data endpoints."""
x = np.array([1., 2., 3., 4.])
y = x
x_interp = np.array([1.0, 4.0])
y_interp_truth = np.array([1.0, 4.0])
y_interp = interpolate_1d(x_interp, x, y)
assert_array_almost_equal(y_interp, y_interp_truth, 7)
def test_interpolate_nans_1d_linear():
"""Test linear interpolation of arrays with NaNs in the y-coordinate."""
x = np.linspace(0, 20, 15)
y = 5 * x + 3
nan_indexes = [1, 5, 11, 12]
y_with_nan = y.copy()
y_with_nan[nan_indexes] = np.nan
assert_array_almost_equal(y, interpolate_nans_1d(x, y_with_nan), 2)
def test_heat_index_basic():
"""Test the basic heat index calculation."""
temp = np.array([80, 88, 92, 110]) * units.degF
rh = np.array([40, 100, 70, 40]) * units.percent
hi = heat_index(temp, rh)
values = np.array([80, 121, 112, 136]) * units.degF
assert_array_almost_equal(hi, values, 0)
def test_basic(self):
'Test the basic wind chill calculation.'
temp = np.array([40, -10, -45, 20]) * units.degF
speed = np.array([5, 55, 25, 15]) * units.mph
wc = windchill(temp, speed)
values = np.array([36, -46, -84, 6]) * units.degF
assert_array_almost_equal(wc, values, 0)
def test_face_level(self):
'Tests using the face_level flag'
temp = np.array([20, 0, -20, -40]) * units.degF
speed = np.array([15, 30, 45, 60]) * units.mph
wc = windchill(temp, speed, face_level_winds=True)
values = np.array([3, -30, -64, -98]) * units.degF
assert_array_almost_equal(wc, values, 0)
def test_basic(self):
'Test the basic heat index calculation.'
temp = np.array([80, 88, 92, 110]) * units.degF
rh = np.array([40, 100, 70, 40])
hi = heat_index(temp, rh)
values = np.array([80, 121, 112, 136]) * units.degF
assert_array_almost_equal(hi, values, 0)
def test_log_interpolate_4d():
"""Test interpolating with log x-scale 4 dimensions."""
x_log = np.ones((2, 2, 3, 4)) * np.array([1e3, 1e4, 1e5, 1e6])
y_log = np.log(x_log) * 2 + 3
x_interp = np.array([5e3, 5e4, 5e5])
y_interp_truth = np.array([20.0343863828, 24.6395565688, 29.2447267548])
y_interp = log_interpolate_1d(x_interp, x_log, y_log, axis=3)
assert_array_almost_equal(y_interp[0, 0, 0, :], y_interp_truth, 7)
def test_interpolate_decrease():
"""Test interpolation with decreasing interpolation points."""
x = np.array([1., 2., 3., 4.])
y = x
x_interp = np.array([3.5000000, 2.5000000])
y_interp_truth = np.array([3.5000000, 2.5000000])
y_interp = interpolate_1d(x_interp, x, y)
assert_array_almost_equal(y_interp, y_interp_truth, 7)
def test_interpolate_nan_linear():
"""Test deprecated interpolate_nans function."""
x = np.linspace(0, 20, 15)
y = 5 * x + 3
nan_indexes = [1, 5, 11, 12]
y_with_nan = y.copy()
y_with_nan[nan_indexes] = np.nan
with pytest.warns(MetpyDeprecationWarning):
assert_array_almost_equal(y, interpolate_nans(x, y_with_nan), 2)
def test_log_interpolate_set_nan_below():
"""Test interpolating with log x-scale setting out of bounds below data to nan."""
x_log = np.array([1e3, 1e4, 1e5, 1e6])
y_log = np.log(x_log) * 2 + 3
x_interp = 1e2
y_interp_truth = np.nan
with pytest.warns(Warning):
y_interp = log_interpolate_1d(x_interp, x_log, y_log)
assert_array_almost_equal(y_interp, y_interp_truth, 7)
def test_parse_angle_ext():
"""Test extended (unabbrieviated) directional text in degrees."""
test_dir_strs = ['NORTH', 'NORTHnorthEast', 'North_East', 'East__North_East',
'easT', 'east south east', 'south east', ' south southeast',
'SOUTH', 'SOUTH SOUTH WEST', 'southWEST', 'WEST south_WEST',
'WeSt', 'WestNorth West', 'North West', 'NORTH north_WeSt']
expected_angles_degrees = np.arange(0, 360, 22.5) * units.degree
output_angles_degrees = list(map(parse_angle, test_dir_strs))
assert_array_almost_equal(output_angles_degrees, expected_angles_degrees)
def test_parse_angle_mix_multiple():
"""Test list of extended (unabbrieviated) directional text in degrees in one go."""
test_dir_strs = ['NORTH', 'nne', 'ne', 'east north east',
'easT', 'east se', 'south east', ' south southeast',
'SOUTH', 'SOUTH SOUTH WEST', 'sw', 'WEST south_WEST',
'w', 'wnw', 'North West', 'nnw']
expected_angles_degrees = np.arange(0, 360, 22.5) * units.degree
output_angles_degrees = parse_angle(test_dir_strs)
assert_array_almost_equal(output_angles_degrees, expected_angles_degrees)
def test_parse_angles_series():
"""Test pandas.Series of angles to parse."""
angles = pd.Series(['N', 'S', 'E', 'W'])
expected_angles = np.array([0, 180, 90, 270]) * units.degree
calculated_angles = parse_angle(angles)
assert_array_almost_equal(calculated_angles, expected_angles)
def test_time_deltas():
"""Test the time_deltas attribute."""
ds = xr.open_dataset(get_test_data('irma_gfs_example.nc', as_file_obj=False))
time = ds['time1']
truth = 3 * np.ones(8) * units.hr
assert_array_almost_equal(time.metpy.time_deltas, truth)
def test_array(self):
levels = np.array([1000, 900, 864.89]) * units.mbar
temps = dry_lapse(levels, 303.15 * units.kelvin)
assert_array_almost_equal(temps,
np.array([303.15, 294.16, 290.83]) * units.kelvin, 2)
def test_dry_lapse_2_levels():
"""Test dry_lapse calculation when given only two levels."""
temps = dry_lapse(
np.array([1000., 500.]) * units.mbar, 293. * units.kelvin)
assert_array_almost_equal(temps, [293., 240.3723] * units.kelvin, 4)
def test_parse_angle_abbrieviated():
"""Test abbrieviated directional text in degrees."""
expected_angles_degrees = np.arange(0, 360, 22.5) * units.degree
output_angles_degrees = list(map(parse_angle, DIR_STRS))
assert_array_almost_equal(output_angles_degrees, expected_angles_degrees)
def test_precipitable_water():
"""Test precipitable water with observed sounding."""
data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC')
pw = precipitable_water(data['pressure'], data['dewpoint'], top=400 * units.hPa)
truth = 22.60430651 * units.millimeters
assert_array_almost_equal(pw, truth, 4)
def test_exner_function():
"""Test Exner function calculation."""
pres = np.array([900., 500., 300., 100.]) * units.mbar
truth = np.array([0.9703542, 0.8203834, 0.7090065, 0.518048
]) * units.dimensionless
assert_array_almost_equal(exner_function(pres), truth, 6)
def test_second_derivative_scalar_delta():
"""Test second_derivative with a scalar passed for a delta."""
df_dx = second_derivative(np.arange(3), delta=1)
assert_array_almost_equal(df_dx, np.array([0., 0., 0.]), 6)
def test_first_derivative_scalar_delta():
"""Test first_derivative with a scalar passed for a delta."""
df_dx = first_derivative(np.arange(3), delta=1)
assert_array_almost_equal(df_dx, np.array([1., 1., 1.]), 6)
def test_basic(self):
temp = np.array([5., 10., 18., 25.]) * units.degC
real_es = np.array([8.72, 12.27, 20.63, 31.67]) * units.mbar
assert_array_almost_equal(saturation_vapor_pressure(temp), real_es, 2)
def test_potential_temperature():
"""Test potential_temperature calculation."""
temp = np.array([278., 283., 291., 298.]) * units.kelvin
pres = np.array([900., 500., 300., 100.]) * units.mbar
real_th = np.array([286.493, 344.961, 410.4335, 575.236]) * units.kelvin
assert_array_almost_equal(potential_temperature(pres, temp), real_th, 3)
def test_parse_angle_invalid_number():
"""Test list of extended (unabbrieviated) directional text in degrees in one go."""
test_dir_strs = 365.
expected_angles_degrees = np.nan
output_angles_degrees = parse_angle(test_dir_strs)
assert_array_almost_equal(output_angles_degrees, expected_angles_degrees)
def test_parse_angle_abbrieviated():
"""Test abbrieviated directional text in degrees."""
expected_angles_degrees = FULL_CIRCLE_DEGREES
output_angles_degrees = parse_angle(DIR_STRS[:-1])
assert_array_almost_equal(output_angles_degrees, expected_angles_degrees)
def test_dry_lapse():
"""Test dry_lapse calculation."""
levels = np.array([1000, 900, 864.89]) * units.mbar
temps = dry_lapse(levels, 303.15 * units.kelvin)
assert_array_almost_equal(temps,
np.array([303.15, 294.16, 290.83]) * units.kelvin, 2)
def test_sat_vapor_pressure_fahrenheit():
"""Test saturation_vapor_pressure handles temperature in Fahrenheit."""
temp = np.array([50., 68.]) * units.degF
real_es = np.array([12.2717, 23.3695]) * units.mbar
assert_array_almost_equal(saturation_vapor_pressure(temp), real_es, 4)
def test_sat_vapor_pressure():
"""Test saturation_vapor_pressure calculation."""
temp = np.array([5., 10., 18., 25.]) * units.degC
real_es = np.array([8.72, 12.27, 20.63, 31.67]) * units.mbar
assert_array_almost_equal(saturation_vapor_pressure(temp), real_es, 2)
def test_moist_lapse():
"""Test moist_lapse calculation."""
temp = moist_lapse(np.array([1000., 800., 600., 500., 400.]) * units.mbar,
293. * units.kelvin)
true_temp = np.array([293, 284.64, 272.81, 264.42, 252.91]) * units.kelvin
assert_array_almost_equal(temp, true_temp, 2)
def test_laplacian_2d(deriv_2d_data):
"""Test lapacian with full 2D arrays."""
laplac_true = 2 * (np.ones_like(deriv_2d_data.f) *
(deriv_2d_data.a + deriv_2d_data.b))
laplac = laplacian(deriv_2d_data.f, x=(deriv_2d_data.y, deriv_2d_data.x))
assert_array_almost_equal(laplac, laplac_true, 5)
def test_3d_gradient_3d_data_no_axes(deriv_4d_data):
"""Test 3D gradient with 3D data and no axes parameter."""
test = deriv_4d_data[0]
res = gradient(test, deltas=(1, 1, 1))
truth = tuple(factor * np.ones_like(test) for factor in (16., 4., 1.))
assert_array_almost_equal(res, truth, 8)
def test_moist_lapse_degc():
"""Test moist_lapse with Celsius temperatures."""
temp = moist_lapse(np.array([1000., 800., 600., 500., 400.]) * units.mbar,
19.85 * units.degC)
true_temp = np.array([293, 284.64, 272.81, 264.42, 252.91]) * units.kelvin
assert_array_almost_equal(temp, true_temp, 2)
def test_geopotential_to_height():
"""Test conversion from geopotential to height."""
geopotential = units.Quantity([0., 9805.11102602, 19607.14506998, 29406.10358006],
units('m**2 / second**2'))
height = geopotential_to_height(geopotential)
assert_array_almost_equal(height, units.Quantity([0, 1000, 2000, 3000], units.m), 0)
def test_2d_gradient_4d_data_2_axes_2_deltas(deriv_4d_data):
"""Test 2D gradient of 4D data with 2 axes and 2 deltas."""
res = gradient(deriv_4d_data, deltas=(1, 1), axes=(0, 1))
truth = tuple(factor * np.ones_like(deriv_4d_data)
for factor in (48., 16.))
assert_array_almost_equal(res, truth, 8)
def test_basic(self):
temp = np.array([30., 25., 10., 20., 25.]) * units.degC
rh = np.array([30., 45., 55., 80., 85.]) / 100.
real_td = np.array([11, 12, 1, 16, 22]) * units.degC
assert_array_almost_equal(real_td, dewpoint_rh(temp, rh), 0)
def test_gradient_4d(deriv_4d_data):
"""Test gradient with 4D arrays."""
res = gradient(deriv_4d_data, deltas=(1, 1, 1, 1))
truth = tuple(factor * np.ones_like(deriv_4d_data)
for factor in (48., 16., 4., 1.))
assert_array_almost_equal(res, truth, 8)
def test_2_levels(self):
temps = dry_lapse(np.array([1000., 500.]) * units.mbar, 293. * units.kelvin)
assert_array_almost_equal(temps, [293., 240.3723] * units.kelvin, 4)
def test_height_to_geopotential():
"""Test conversion from height to geopotential."""
height = units.Quantity([0, 1000, 2000, 3000], units.m)
geopot = height_to_geopotential(height)
assert_array_almost_equal(geopot, units.Quantity([0., 9805, 19607,
29406], units('m**2 / second**2')), 0)
def test_get_bound_pressure_height(pressure, bound, hgts, interp, expected):
"""Test getting bounds in layers with various parameter combinations."""
bounds = _get_bound_pressure_height(pressure, bound, heights=hgts, interpolate=interp)
assert_array_almost_equal(bounds[0], expected[0], 4)
assert_array_almost_equal(bounds[1], expected[1], 4)
def test_farenheit(self):
temp = np.array([50., 68.]) * units.degF
real_es = np.array([12.2717, 23.3695]) * units.mbar
assert_array_almost_equal(saturation_vapor_pressure(temp), real_es, 4)
def test_get_layer(pressure, variable, heights, bottom, depth, interp, expected):
"""Test get_layer functionality."""
p_layer, y_layer = get_layer(pressure, variable, heights=heights, bottom=bottom,
depth=depth, interpolate=interp)
assert_array_almost_equal(p_layer, expected[0], 4)
assert_array_almost_equal(y_layer, expected[1], 4)
def test_masked_and_no_mask():
"""Test that we can compare a masked array with no masked values and a regular array."""
a = np.array([10, 20])
b = np.ma.array([10, 20], mask=[False, False])
assert_array_almost_equal(a, b)
