test_field.py 11.6 KB
Newer Older
1
2
3
4
5
6
7
8
9
10
11
12
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program.  If not, see <http://www.gnu.org/licenses/>.
Theo Steininger's avatar
Theo Steininger committed
13
#
14
# Copyright(C) 2013-2019 Max-Planck-Society
Theo Steininger's avatar
Theo Steininger committed
15
#
16
# NIFTy is being developed at the Max-Planck-Institut fuer Astrophysik.
17

18
import numpy as np
Philipp Arras's avatar
Philipp Arras committed
19
import pytest
20
from numpy.testing import assert_allclose, assert_equal, assert_raises
21

Philipp Arras's avatar
Philipp Arras committed
22
23
24
import nifty5 as ift

pmp = pytest.mark.parametrize
Martin Reinecke's avatar
Martin Reinecke committed
25
SPACES = [ift.RGSpace((4,)), ift.RGSpace((5))]
Theo Steininger's avatar
Theo Steininger committed
26
SPACE_COMBINATIONS = [(), SPACES[0], SPACES[1], SPACES]
27
28


Philipp Arras's avatar
Philipp Arras committed
29
30
31
32
33
34
35
36
37
@pmp('domain', SPACE_COMBINATIONS)
@pmp('attribute_desired_type',
     [['domain', ift.DomainTuple], ['val', ift.dobj.data_object],
      ['shape', tuple], ['size', (np.int, np.int64)]])
def test_return_types(domain, attribute_desired_type):
    attribute = attribute_desired_type[0]
    desired_type = attribute_desired_type[1]
    f = ift.Field.full(domain, 1.)
    assert_equal(isinstance(getattr(f, attribute), desired_type), True)
38

Martin Reinecke's avatar
Martin Reinecke committed
39

Martin Reinecke's avatar
Martin Reinecke committed
40
def _spec1(k):
Philipp Arras's avatar
Philipp Arras committed
41
    return 42/(1. + k)**2
Martin Reinecke's avatar
Martin Reinecke committed
42
43
44


def _spec2(k):
Philipp Arras's avatar
Philipp Arras committed
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
    return 42/(1. + k)**3


@pmp('space1', [
    ift.RGSpace((8,), harmonic=True),
    ift.RGSpace((8, 8), harmonic=True, distances=0.123)
])
@pmp('space2', [ift.RGSpace((8,), harmonic=True), ift.LMSpace(12)])
def test_power_synthesize_analyze(space1, space2):
    np.random.seed(11)

    p1 = ift.PowerSpace(space1)
    fp1 = ift.PS_field(p1, _spec1)
    p2 = ift.PowerSpace(space2)
    fp2 = ift.PS_field(p2, _spec2)

    op1 = ift.create_power_operator((space1, space2), _spec1, 0)
    op2 = ift.create_power_operator((space1, space2), _spec2, 1)
    opfull = op2(op1)

    samples = 500
    sc1 = ift.StatCalculator()
    sc2 = ift.StatCalculator()
    for ii in range(samples):
        sk = opfull.draw_sample()

        sp = ift.power_analyze(sk, spaces=(0, 1), keep_phase_information=False)
        sc1.add(sp.sum(spaces=1)/fp2.sum())
        sc2.add(sp.sum(spaces=0)/fp1.sum())

    assert_allclose(sc1.mean.local_data, fp1.local_data, rtol=0.2)
    assert_allclose(sc2.mean.local_data, fp2.local_data, rtol=0.2)


@pmp('space1', [
    ift.RGSpace((8,), harmonic=True),
    ift.RGSpace((8, 8), harmonic=True, distances=0.123)
])
@pmp('space2', [ift.RGSpace((8,), harmonic=True), ift.LMSpace(12)])
def test_DiagonalOperator_power_analyze2(space1, space2):
    np.random.seed(11)

    fp1 = ift.PS_field(ift.PowerSpace(space1), _spec1)
    fp2 = ift.PS_field(ift.PowerSpace(space2), _spec2)

    S_1 = ift.create_power_operator((space1, space2), _spec1, 0)
    S_2 = ift.create_power_operator((space1, space2), _spec2, 1)
    S_full = S_2(S_1)

    samples = 500
    sc1 = ift.StatCalculator()
    sc2 = ift.StatCalculator()

    for ii in range(samples):
        sk = S_full.draw_sample()
        sp = ift.power_analyze(sk, spaces=(0, 1), keep_phase_information=False)
        sc1.add(sp.sum(spaces=1)/fp2.sum())
        sc2.add(sp.sum(spaces=0)/fp1.sum())

    assert_allclose(sc1.mean.local_data, fp1.local_data, rtol=0.2)
    assert_allclose(sc2.mean.local_data, fp2.local_data, rtol=0.2)


@pmp('space', [
    ift.RGSpace((8,), harmonic=True), (),
    ift.RGSpace((8, 8), harmonic=True, distances=0.123),
    ift.RGSpace((2, 3, 7))
])
def test_norm(space):
    f = ift.Field.from_random("normal", domain=space, dtype=np.complex128)
    gd = f.to_global_data().reshape(-1)
    assert_allclose(f.norm(), np.linalg.norm(gd))
    assert_allclose(f.norm(1), np.linalg.norm(gd, ord=1))
    assert_allclose(f.norm(2), np.linalg.norm(gd, ord=2))
    assert_allclose(f.norm(3), np.linalg.norm(gd, ord=3))
    assert_allclose(f.norm(np.inf), np.linalg.norm(gd, ord=np.inf))


Philipp Arras's avatar
Fixups    
Philipp Arras committed
123
def test_vdot():
Philipp Arras's avatar
Philipp Arras committed
124
125
126
127
128
129
130
    s = ift.RGSpace((10,))
    f1 = ift.Field.from_random("normal", domain=s, dtype=np.complex128)
    f2 = ift.Field.from_random("normal", domain=s, dtype=np.complex128)
    assert_allclose(f1.vdot(f2), f1.vdot(f2, spaces=0))
    assert_allclose(f1.vdot(f2), np.conj(f2.vdot(f1)))


Philipp Arras's avatar
Fixups    
Philipp Arras committed
131
def test_vdot2():
Philipp Arras's avatar
Philipp Arras committed
132
133
134
135
136
137
138
    x1 = ift.RGSpace((200,))
    x2 = ift.RGSpace((150,))
    m = ift.Field.full((x1, x2), .5)
    res = m.vdot(m, spaces=1)
    assert_allclose(res.local_data, 37.5)


Philipp Arras's avatar
Fixups    
Philipp Arras committed
139
def test_outer():
Philipp Arras's avatar
Philipp Arras committed
140
141
142
143
144
145
146
147
    x1 = ift.RGSpace((9,))
    x2 = ift.RGSpace((3,))
    m1 = ift.Field.full(x1, .5)
    m2 = ift.Field.full(x2, 3.)
    res = m1.outer(m2)
    assert_allclose(res.to_global_data(), np.full((9, 3), 1.5))


Philipp Arras's avatar
Fixups    
Philipp Arras committed
148
def test_sum():
Philipp Arras's avatar
Philipp Arras committed
149
150
151
152
153
154
155
156
157
158
159
160
161
162
    x1 = ift.RGSpace((9,), distances=2.)
    x2 = ift.RGSpace(
        (
            2,
            12,
        ), distances=(0.3,))
    m1 = ift.Field.from_global_data(ift.makeDomain(x1), np.arange(9))
    m2 = ift.Field.full(ift.makeDomain((x1, x2)), 0.45)
    res1 = m1.sum()
    res2 = m2.sum(spaces=1)
    assert_allclose(res1, 36)
    assert_allclose(res2.to_global_data(), np.full(9, 2*12*0.45))


Philipp Arras's avatar
Fixups    
Philipp Arras committed
163
def test_integrate():
Philipp Arras's avatar
Philipp Arras committed
164
165
166
167
168
169
170
171
172
173
    x1 = ift.RGSpace((9,), distances=2.)
    x2 = ift.RGSpace((2, 12), distances=(0.3,))
    m1 = ift.Field.from_global_data(ift.makeDomain(x1), np.arange(9))
    m2 = ift.Field.full(ift.makeDomain((x1, x2)), 0.45)
    res1 = m1.integrate()
    res2 = m2.integrate(spaces=1)
    assert_allclose(res1, 36*2)
    assert_allclose(res2.to_global_data(), np.full(9, 2*12*0.45*0.3**2))


Philipp Arras's avatar
Fixups    
Philipp Arras committed
174
def test_dataconv():
Philipp Arras's avatar
Philipp Arras committed
175
176
177
178
179
180
181
    s1 = ift.RGSpace((10,))
    ld = np.arange(ift.dobj.local_shape(s1.shape)[0])
    gd = np.arange(s1.shape[0])
    assert_equal(ld, ift.from_local_data(s1, ld).local_data)
    assert_equal(gd, ift.from_global_data(s1, gd).to_global_data())


Philipp Arras's avatar
Fixups    
Philipp Arras committed
182
def test_cast_domain():
Philipp Arras's avatar
Philipp Arras committed
183
184
185
186
187
188
189
    s1 = ift.RGSpace((10,))
    s2 = ift.RGSpace((10,), distances=20.)
    d = np.arange(s1.shape[0])
    d2 = ift.from_global_data(s1, d).cast_domain(s2).to_global_data()
    assert_equal(d, d2)


Philipp Arras's avatar
Fixups    
Philipp Arras committed
190
def test_empty_domain():
Philipp Arras's avatar
Philipp Arras committed
191
192
193
194
195
196
    f = ift.Field.full((), 5)
    assert_equal(f.local_data, 5)
    f = ift.Field.full(None, 5)
    assert_equal(f.local_data, 5)


Philipp Arras's avatar
Fixups    
Philipp Arras committed
197
def test_trivialities():
Philipp Arras's avatar
Philipp Arras committed
198
199
    s1 = ift.RGSpace((10,))
    f1 = ift.Field.full(s1, 27)
200
201
    assert_equal(f1.clip(min=29).local_data, 29.)
    assert_equal(f1.clip(max=25).local_data, 25.)
Philipp Arras's avatar
Philipp Arras committed
202
    assert_equal(f1.local_data, f1.real.local_data)
203
    assert_equal(f1.local_data, (+f1).local_data)
Philipp Arras's avatar
Philipp Arras committed
204
    f1 = ift.Field.full(s1, 27. + 3j)
205
    assert_equal(f1.one_over().local_data, (1./f1).local_data)
Philipp Arras's avatar
Philipp Arras committed
206
207
208
    assert_equal(f1.real.local_data, 27.)
    assert_equal(f1.imag.local_data, 3.)
    assert_equal(f1.sum(), f1.sum(0))
209
210
    assert_equal(f1.conjugate().local_data,
                 ift.Field.full(s1, 27. - 3j).local_data)
Philipp Arras's avatar
Philipp Arras committed
211
212
213
214
215
216
    f1 = ift.from_global_data(s1, np.arange(10))
    # assert_equal(f1.min(), 0)
    # assert_equal(f1.max(), 9)
    assert_equal(f1.prod(), 0)


Philipp Arras's avatar
Fixups    
Philipp Arras committed
217
def test_weight():
Philipp Arras's avatar
Philipp Arras committed
218
219
220
221
    s1 = ift.RGSpace((10,))
    f = ift.Field.full(s1, 10.)
    f2 = f.weight(1)
    assert_equal(f.weight(1).local_data, f2.local_data)
222
223
224
    assert_equal(f.domain.total_volume(), 1)
    assert_equal(f.domain.total_volume(0), 1)
    assert_equal(f.domain.total_volume((0,)), 1)
Philipp Arras's avatar
Philipp Arras committed
225
226
227
    assert_equal(f.total_volume(), 1)
    assert_equal(f.total_volume(0), 1)
    assert_equal(f.total_volume((0,)), 1)
228
229
230
    assert_equal(f.domain.scalar_weight(), 0.1)
    assert_equal(f.domain.scalar_weight(0), 0.1)
    assert_equal(f.domain.scalar_weight((0,)), 0.1)
Philipp Arras's avatar
Philipp Arras committed
231
232
233
234
235
    assert_equal(f.scalar_weight(), 0.1)
    assert_equal(f.scalar_weight(0), 0.1)
    assert_equal(f.scalar_weight((0,)), 0.1)
    s1 = ift.GLSpace(10)
    f = ift.Field.full(s1, 10.)
236
237
238
    assert_equal(f.domain.scalar_weight(), None)
    assert_equal(f.domain.scalar_weight(0), None)
    assert_equal(f.domain.scalar_weight((0,)), None)
Philipp Arras's avatar
Philipp Arras committed
239
240
241
242
243
244
245
246
247
248
249
250
251
252


@pmp('dom', [ift.RGSpace(10), ift.GLSpace(10)])
@pmp('dt', [np.float64, np.complex128])
def test_reduction(dom, dt):
    s1 = ift.Field.full(dom, dt(1.))
    assert_allclose(s1.mean(), 1.)
    assert_allclose(s1.mean(0), 1.)
    assert_allclose(s1.var(), 0., atol=1e-14)
    assert_allclose(s1.var(0), 0., atol=1e-14)
    assert_allclose(s1.std(), 0., atol=1e-14)
    assert_allclose(s1.std(0), 0., atol=1e-14)


Philipp Arras's avatar
Fixups    
Philipp Arras committed
253
def test_err():
Philipp Arras's avatar
Philipp Arras committed
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
    s1 = ift.RGSpace((10,))
    s2 = ift.RGSpace((11,))
    f1 = ift.Field.full(s1, 27)
    with assert_raises(ValueError):
        f2 = ift.Field(ift.DomainTuple.make(s2), f1.val)
    with assert_raises(TypeError):
        f2 = ift.Field.full(s2, "xyz")
    with assert_raises(TypeError):
        if f1:
            pass
    with assert_raises(TypeError):
        f1.full((2, 4, 6))
    with assert_raises(TypeError):
        f2 = ift.Field(None, None)
    with assert_raises(TypeError):
        f2 = ift.Field(s1, None)
    with assert_raises(ValueError):
        f1.imag
    with assert_raises(TypeError):
        f1.vdot(42)
    with assert_raises(ValueError):
        f1.vdot(ift.Field.full(s2, 1.))
    with assert_raises(TypeError):
        ift.full(s1, [2, 3])
278
    with assert_raises(TypeError):
Martin Reinecke's avatar
Martin Reinecke committed
279
        ift.Field(s2, [0, 1])
280
    with assert_raises(TypeError):
Martin Reinecke's avatar
Martin Reinecke committed
281
        f1.outer([0, 1])
282
283
284
285
286
287
288
    with assert_raises(ValueError):
        f1.extract(s2)
    with assert_raises(TypeError):
        f1 += f1
    f2 = ift.Field.full(s2, 27)
    with assert_raises(ValueError):
        f1 + f2
Philipp Arras's avatar
Philipp Arras committed
289
290


Philipp Arras's avatar
Fixups    
Philipp Arras committed
291
def test_stdfunc():
Philipp Arras's avatar
Philipp Arras committed
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
    s = ift.RGSpace((200,))
    f = ift.Field.full(s, 27)
    assert_equal(f.local_data, 27)
    assert_equal(f.shape, (200,))
    assert_equal(f.dtype, np.int)
    fx = ift.full(f.domain, 0)
    assert_equal(f.dtype, fx.dtype)
    assert_equal(f.shape, fx.shape)
    assert_equal(fx.local_data, 0)
    fx = ift.full(f.domain, 1)
    assert_equal(f.dtype, fx.dtype)
    assert_equal(f.shape, fx.shape)
    assert_equal(fx.local_data, 1)
    fx = ift.full(f.domain, 67.)
    assert_equal(f.shape, fx.shape)
    assert_equal(fx.local_data, 67.)
    f = ift.Field.from_random("normal", s)
    f2 = ift.Field.from_random("normal", s)
    assert_equal((f > f2).local_data, f.local_data > f2.local_data)
    assert_equal((f >= f2).local_data, f.local_data >= f2.local_data)
    assert_equal((f < f2).local_data, f.local_data < f2.local_data)
    assert_equal((f <= f2).local_data, f.local_data <= f2.local_data)
    assert_equal((f != f2).local_data, f.local_data != f2.local_data)
    assert_equal((f == f2).local_data, f.local_data == f2.local_data)
    assert_equal((f + f2).local_data, f.local_data + f2.local_data)
    assert_equal((f - f2).local_data, f.local_data - f2.local_data)
    assert_equal((f*f2).local_data, f.local_data*f2.local_data)
    assert_equal((f/f2).local_data, f.local_data/f2.local_data)
    assert_equal((-f).local_data, -(f.local_data))
    assert_equal(abs(f).local_data, abs(f.local_data))


Philipp Arras's avatar
Fixups    
Philipp Arras committed
324
def test_emptydomain():
Philipp Arras's avatar
Philipp Arras committed
325
326
327
328
329
330
331
332
333
334
335
336
337
    f = ift.Field.full((), 3.)
    assert_equal(f.sum(), 3.)
    assert_equal(f.prod(), 3.)
    assert_equal(f.local_data, 3.)
    assert_equal(f.local_data.shape, ())
    assert_equal(f.local_data.size, 1)
    assert_equal(f.vdot(f), 9.)


@pmp('num', [float(5), 5.])
@pmp('dom', [ift.RGSpace((8,), harmonic=True), ()])
@pmp('func', [
    "exp", "log", "sin", "cos", "tan", "sinh", "cosh", "sinc", "absolute",
338
    "sign", "log10"
Philipp Arras's avatar
Philipp Arras committed
339
340
341
342
343
344
345
])
def test_funcs(num, dom, func):
    num = 5
    f = ift.Field.full(dom, num)
    res = getattr(f, func)()
    res2 = getattr(np, func)(num)
    assert_allclose(res.local_data, res2)
346

Martin Reinecke's avatar
Martin Reinecke committed
347

348
349
350
351
@pmp('rtype', ['normal', 'pm1', 'uniform'])
@pmp('dtype', [np.float64, np.complex128])
def test_from_random(rtype, dtype):
    sp = ift.RGSpace(3)
Philipp Arras's avatar
Philipp Arras committed
352
    ift.Field.from_random(rtype, sp, dtype=dtype)
353

Martin Reinecke's avatar
Martin Reinecke committed
354

355
356
357
def test_field_of_objects():
    arr = np.array(['x', 'y', 'z'])
    sp = ift.RGSpace(3)
358
    with assert_raises(TypeError):
Philipp Arras's avatar
Philipp Arras committed
359
        ift.Field.from_global_data(sp, arr)