1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
|
import numpy as np
from .. import units as pq
from .common import TestCase, unittest
_np_version = tuple(map(int, np.__version__.split(".dev")[0].split(".")))
class TestUmath(TestCase):
@property
def q(self):
return [1,2,3,4] * pq.J
def test_prod(self):
self.assertQuantityEqual(np.prod(self.q), 24 * pq.J**4)
def test_sum(self):
self.assertQuantityEqual(np.sum(self.q), 10 * pq.J)
def test_nansum(self):
c = [1,2,3, np.nan] * pq.m
self.assertQuantityEqual(np.nansum(c), 6 * pq.m)
def test_cumprod(self):
self.assertRaises(ValueError, np.cumprod, self.q)
q = [10, .1, 5, 50] * pq.dimensionless
self.assertQuantityEqual(np.cumprod(q), [10, 1, 5, 250])
def test_cumsum(self):
self.assertQuantityEqual(np.cumsum(self.q), [1, 3, 6, 10] * pq.J)
def test_diff(self):
self.assertQuantityEqual(np.diff(self.q, 1), [1, 1, 1] * pq.J)
def test_ediff1d(self):
self.assertQuantityEqual(np.diff(self.q, 1), [1, 1, 1] * pq.J)
def test_linspace(self):
self.assertQuantityEqual(np.linspace(self.q[0], self.q[-1], 4), self.q)
@unittest.expectedFailure
def test_gradient(self):
try:
l = np.gradient([[1,1],[3,4]] * pq.J, 1 * pq.m)
self.assertQuantityEqual(l[0], [[2., 3.], [2., 3.]] * pq.J/pq.m)
self.assertQuantityEqual(l[1], [[0., 0.], [1., 1.]] * pq.J/pq.m)
except ValueError as e:
raise self.failureException(e)
@unittest.expectedFailure
def test_cross(self):
a = [3,-3, 1] * pq.kPa
b = [4, 9, 2] * pq.m**2
self.assertQuantityEqual(np.cross(a,b), [-15,-2,39]*pq.kPa*pq.m**2)
def test_trapz(self):
# np.trapz is deprecated, np.trapezoid is recommend
if _np_version < (2, 0, 0):
self.assertQuantityEqual(np.trapz(self.q, dx = 1*pq.m), 7.5 * pq.J*pq.m)
def test_trapezoid(self):
if _np_version >= (2, 0, 0):
self.assertQuantityEqual(np.trapezoid(self.q, dx = 1*pq.m), 7.5 * pq.J*pq.m)
def test_sinh(self):
q = [1, 2, 3, 4, 6] * pq.radian
self.assertQuantityEqual(
np.sinh(q),
np.sinh(q.magnitude)
)
def test_arcsinh(self):
q = [1, 2, 3, 4, 6] * pq.dimensionless
self.assertQuantityEqual(
np.arcsinh(q),
np.arcsinh(q.magnitude) * pq.rad
)
def test_cosh(self):
q = [1, 2, 3, 4, 6] * pq.radian
self.assertQuantityEqual(
np.cosh(q),
np.cosh(q.magnitude) * pq.dimensionless
)
def test_arccosh(self):
q = [1, 2, 3, 4, 6] * pq.dimensionless
self.assertQuantityEqual(
np.arccosh(q),
np.arccosh(q.magnitude) * pq.rad
)
def test_tanh(self):
q = [1, 2, 3, 4, 6] * pq.rad
self.assertQuantityEqual(
np.tanh(q),
np.tanh(q.magnitude)
)
def test_arctanh(self):
q = [.01, .5, .6, .8, .99] * pq.dimensionless
self.assertQuantityEqual(
np.arctanh(q),
np.arctanh(q.magnitude) * pq.rad
)
def test_around(self):
self.assertQuantityEqual(
np.around([.5, 1.5, 2.5, 3.5, 4.5] * pq.J) ,
[0., 2., 2., 4., 4.] * pq.J
)
self.assertQuantityEqual(
np.around([1,2,3,11] * pq.J, decimals=1),
[1, 2, 3, 11] * pq.J
)
self.assertQuantityEqual(
np.around([1,2,3,11] * pq.J, decimals=-1),
[0, 0, 0, 10] * pq.J
)
def test_round(self):
self.assertQuantityEqual(
np.round([.5, 1.5, 2.5, 3.5, 4.5] * pq.J),
[0., 2., 2., 4., 4.] * pq.J
)
self.assertQuantityEqual(
np.round([1,2,3,11] * pq.J, decimals=1),
[1, 2, 3, 11] * pq.J
)
self.assertQuantityEqual(
np.round([1,2,3,11] * pq.J, decimals=-1),
[0, 0, 0, 10] * pq.J
)
def test_rint(self):
a = [-4.1, -3.6, -2.5, 0.1, 2.5, 3.1, 3.9] * pq.m
self.assertQuantityEqual(
np.rint(a),
[-4., -4., -2., 0., 2., 3., 4.]*pq.m
)
def test_floor(self):
a = [-1.7, -1.5, -0.2, 0.2, 1.5, 1.7, 2.0] * pq.m
self.assertQuantityEqual(
np.floor(a),
[-2., -2., -1., 0., 1., 1., 2.] * pq.m
)
def test_ceil(self):
a = [-1.7, -1.5, -0.2, 0.2, 1.5, 1.7, 2.0] * pq.m
self.assertQuantityEqual(
np.ceil(a),
[-1., -1., -0., 1., 2., 2., 2.] * pq.m
)
def test_fix(self):
self.assertQuantityEqual(np.fix(3.14 * pq.degF), 3.0 * pq.degF)
self.assertQuantityEqual(np.fix(3.0 * pq.degF), 3.0 * pq.degF)
self.assertQuantityEqual(
np.fix([2.1, 2.9, -2.1, -2.9] * pq.degF),
[2., 2., -2., -2.] * pq.degF
)
def test_exp(self):
self.assertQuantityEqual(np.exp(1*pq.dimensionless), np.e)
self.assertRaises(ValueError, np.exp, 1*pq.m)
def test_exp2(self):
self.assertQuantityEqual(np.exp2(1*pq.dimensionless), 2.0)
self.assertRaises(ValueError, np.exp2, 1*pq.m)
def test_log(self):
self.assertQuantityEqual(np.log(1*pq.dimensionless), 0)
self.assertRaises(ValueError, np.log, 1*pq.m)
def test_log10(self):
self.assertQuantityEqual(np.log10(1*pq.dimensionless), 0)
self.assertRaises(ValueError, np.log10, 1*pq.m)
def test_log2(self):
self.assertQuantityEqual(np.log2(1*pq.dimensionless), 0)
self.assertRaises(ValueError, np.log2, 1*pq.m)
def test_expm1(self):
self.assertQuantityEqual(np.expm1(1*pq.dimensionless), np.e-1)
self.assertRaises(ValueError, np.expm1, 1*pq.m)
def test_log1p(self):
self.assertQuantityEqual(np.log1p(0*pq.dimensionless), 0)
self.assertRaises(ValueError, np.log1p, 1*pq.m)
def test_sin(self):
self.assertQuantityEqual(np.sin(np.pi/2*pq.radian), 1)
self.assertRaises(ValueError, np.sin, 1*pq.m)
def test_arcsin(self):
self.assertQuantityEqual(
np.arcsin(1*pq.dimensionless),
np.pi/2 * pq.radian
)
self.assertRaises(ValueError, np.arcsin, 1*pq.m)
def test_cos(self):
self.assertQuantityEqual(np.cos(np.pi*pq.radians), -1)
self.assertRaises(ValueError, np.cos, 1*pq.m)
def test_arccos(self):
self.assertQuantityEqual(np.arccos(1*pq.dimensionless), 0*pq.radian)
self.assertRaises(ValueError, np.arccos, 1*pq.m)
def test_tan(self):
self.assertQuantityEqual(np.tan(0*pq.radian), 0)
self.assertRaises(ValueError, np.tan, 1*pq.m)
def test_arctan(self):
self.assertQuantityEqual(np.arctan(0*pq.dimensionless), 0*pq.radian)
self.assertRaises(ValueError, np.arctan, 1*pq.m)
def test_arctan2(self):
self.assertQuantityEqual(
np.arctan2(0*pq.dimensionless, 0*pq.dimensionless),
0
)
self.assertQuantityEqual(
np.arctan2(3*pq.V, 3*pq.V),
np.radians(45)*pq.dimensionless
)
# NumPy <1.21 raises ValueError
# NumPy >=1.21 raises TypeError
self.assertRaises((TypeError, ValueError), np.arctan2, (1*pq.m, 1*pq.m))
def test_hypot(self):
self.assertQuantityEqual(np.hypot(3 * pq.m, 4 * pq.m), 5 * pq.m)
self.assertRaises(ValueError, np.hypot, 1*pq.m, 2*pq.J)
def test_degrees(self):
self.assertQuantityEqual(
np.degrees(6 * pq.radians),
(6 * pq.radians).rescale(pq.degree)
)
self.assertRaises(ValueError, np.degrees, 0*pq.degree)
def test_radians(self):
self.assertQuantityEqual(
np.radians(6 * pq.degree),
(6 * pq.degree).rescale(pq.radian)
)
self.assertRaises(ValueError, np.radians, 0*pq.radians)
@unittest.expectedFailure
def test_unwrap(self):
self.assertQuantityEqual(np.unwrap([0,3*np.pi]*pq.radians), [0,np.pi])
self.assertQuantityEqual(np.unwrap([0,540]*pq.deg), [0,180]*pq.deg)
def test_equal(self):
arr1 = (1, 1) * pq.m
arr2 = (1.0, 1.0) * pq.m
self.assertTrue(np.all(np.equal(arr1, arr2)))
self.assertFalse(np.all(np.equal(arr1, arr2 * 2)))
def test_not_equal(self):
arr1 = (1, 1) * pq.m
arr2 = (1.0, 1.0) * pq.m
self.assertTrue(np.all(np.not_equal(arr1, arr2*2)))
self.assertFalse(np.all(np.not_equal(arr1, arr2)))
def test_less(self):
arr1 = (1, 1) * pq.m
arr2 = (1.0, 1.0) * pq.m
self.assertTrue(np.all(np.less(arr1, arr2*2)))
self.assertFalse(np.all(np.less(arr1*2, arr2)))
def test_less_equal(self):
arr1 = (1, 1) * pq.m
arr2 = (1.0, 2.0) * pq.m
self.assertTrue(np.all(np.less_equal(arr1, arr2)))
self.assertFalse(np.all(np.less_equal(arr2, arr1)))
def test_greater(self):
arr1 = (1, 1) * pq.m
arr2 = (1.0, 2.0) * pq.m
self.assertTrue(np.all(np.greater(arr2*1.01, arr1)))
self.assertFalse(np.all(np.greater(arr2, arr1)))
def test_greater_equal(self):
arr1 = (1, 1) * pq.m
arr2 = (1.0, 2.0) * pq.m
self.assertTrue(np.all(np.greater_equal(arr2, arr1)))
self.assertFalse(np.all(np.greater_equal(arr2*0.99, arr1)))
def test_maximum(self):
arr1 = (998, 999) * pq.m
arr2 = (1e3, 5e2) * pq.m
self.assertQuantityEqual(np.maximum(arr1, arr2) - [1000, 999]*pq.m, [0, 0]*pq.m)
def test_minimum(self):
arr1 = (998, 999) * pq.m
arr2 = (1e3, 5e2) * pq.m
self.assertQuantityEqual(np.minimum(arr1, arr2) - [998, 500]*pq.m, [0, 0]*pq.m)
|
