test_field.py 4.9 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
#
Martin Reinecke's avatar
Martin Reinecke committed
14
# Copyright(C) 2013-2018 Max-Planck-Society
Theo Steininger's avatar
Theo Steininger committed
15
16
17
#
# NIFTy is being developed at the Max-Planck-Institut fuer Astrophysik
# and financially supported by the Studienstiftung des deutschen Volkes.
18
19
20

import unittest
import numpy as np
Martin Reinecke's avatar
Martin Reinecke committed
21
from numpy.testing import assert_equal, assert_allclose
22
from itertools import product
Martin Reinecke's avatar
Martin Reinecke committed
23
import nifty4 as ift
Jait Dixit's avatar
Jait Dixit committed
24
from test.common import expand
25
26


Martin Reinecke's avatar
Martin Reinecke committed
27
SPACES = [ift.RGSpace((4,)), ift.RGSpace((5))]
Theo Steininger's avatar
Theo Steininger committed
28
SPACE_COMBINATIONS = [(), SPACES[0], SPACES[1], SPACES]
29
30
31


class Test_Interface(unittest.TestCase):
32
    @expand(product(SPACE_COMBINATIONS,
Martin Reinecke's avatar
Martin Reinecke committed
33
34
                    [['domain', ift.DomainTuple],
                     ['val', ift.dobj.data_object],
35
                     ['shape', tuple],
Martin Reinecke's avatar
Martin Reinecke committed
36
                     ['size', (np.int, np.int64)]]))
37
38
39
    def test_return_types(self, domain, attribute_desired_type):
        attribute = attribute_desired_type[0]
        desired_type = attribute_desired_type[1]
Martin Reinecke's avatar
Martin Reinecke committed
40
        f = ift.Field.full(domain, 1.)
Martin Reinecke's avatar
Martin Reinecke committed
41
        assert_equal(isinstance(getattr(f, attribute), desired_type), True)
42

Martin Reinecke's avatar
Martin Reinecke committed
43

Martin Reinecke's avatar
Martin Reinecke committed
44
45
46
47
48
49
50
51
def _spec1(k):
    return 42/(1.+k)**2


def _spec2(k):
    return 42/(1.+k)**3


52
class Test_Functionality(unittest.TestCase):
Martin Reinecke's avatar
Martin Reinecke committed
53
54
55
56
    @expand(product([ift.RGSpace((8,), harmonic=True),
                     ift.RGSpace((8, 8), harmonic=True, distances=0.123)],
                    [ift.RGSpace((8,), harmonic=True),
                     ift.LMSpace(12)]))
Martin Reinecke's avatar
more    
Martin Reinecke committed
57
    def test_power_synthesize_analyze(self, space1, space2):
Martin Reinecke's avatar
stage1    
Martin Reinecke committed
58
        np.random.seed(11)
59

Martin Reinecke's avatar
Martin Reinecke committed
60
        p1 = ift.PowerSpace(space1)
Martin Reinecke's avatar
Martin Reinecke committed
61
        p1val = _spec1(p1.k_lengths)
62
        fp1 = ift.Field.from_global_data(p1, p1val)
63

Martin Reinecke's avatar
Martin Reinecke committed
64
        p2 = ift.PowerSpace(space2)
Martin Reinecke's avatar
Martin Reinecke committed
65
        p2val = _spec2(p2.k_lengths)
66
        fp2 = ift.Field.from_global_data(p2, p2val)
67

68
69
        outer = np.outer(p1val, p2val)
        fp = ift.Field.from_global_data((p1, p2), outer)
70

Martin Reinecke's avatar
Martin Reinecke committed
71
        samples = 500
72
73
        ps1 = 0.
        ps2 = 0.
Martin Reinecke's avatar
Martin Reinecke committed
74
        for ii in range(samples):
Martin Reinecke's avatar
Martin Reinecke committed
75
            sk = ift.power_synthesize(fp, spaces=(0, 1), real_signal=True)
76

Martin Reinecke's avatar
Martin Reinecke committed
77
78
            sp = ift.power_analyze(sk, spaces=(0, 1),
                                   keep_phase_information=False)
Martin Reinecke's avatar
Martin Reinecke committed
79
80
            ps1 += sp.sum(spaces=1)/fp2.sum()
            ps2 += sp.sum(spaces=0)/fp1.sum()
81

Martin Reinecke's avatar
Martin Reinecke committed
82
83
        assert_allclose((ps1/samples).local_data, fp1.local_data, rtol=0.2)
        assert_allclose((ps2/samples).local_data, fp2.local_data, rtol=0.2)
Martin Reinecke's avatar
Martin Reinecke committed
84

Martin Reinecke's avatar
Martin Reinecke committed
85
86
87
88
    @expand(product([ift.RGSpace((8,), harmonic=True),
                     ift.RGSpace((8, 8), harmonic=True, distances=0.123)],
                    [ift.RGSpace((8,), harmonic=True),
                     ift.LMSpace(12)]))
Martin Reinecke's avatar
Martin Reinecke committed
89
90
91
    def test_DiagonalOperator_power_analyze(self, space1, space2):
        np.random.seed(11)

Martin Reinecke's avatar
Martin Reinecke committed
92
        fulldomain = ift.DomainTuple.make((space1, space2))
Martin Reinecke's avatar
Martin Reinecke committed
93

Martin Reinecke's avatar
Martin Reinecke committed
94
        p1 = ift.PowerSpace(space1)
Martin Reinecke's avatar
Martin Reinecke committed
95
        p1val = _spec1(p1.k_lengths)
96
        fp1 = ift.Field.from_global_data(p1, p1val)
Martin Reinecke's avatar
Martin Reinecke committed
97

Martin Reinecke's avatar
Martin Reinecke committed
98
        p2 = ift.PowerSpace(space2)
Martin Reinecke's avatar
Martin Reinecke committed
99
        p2val = _spec2(p2.k_lengths)
100
        fp2 = ift.Field.from_global_data(p2, p2val)
Martin Reinecke's avatar
Martin Reinecke committed
101

Martin Reinecke's avatar
Martin Reinecke committed
102
103
104
105
        S_1 = ift.create_power_field(space1, lambda x: np.sqrt(_spec1(x)))
        S_1 = ift.DiagonalOperator(S_1, domain=fulldomain, spaces=0)
        S_2 = ift.create_power_field(space2, lambda x: np.sqrt(_spec2(x)))
        S_2 = ift.DiagonalOperator(S_2, domain=fulldomain, spaces=1)
Martin Reinecke's avatar
Martin Reinecke committed
106
107
108
109
110
111

        samples = 500
        ps1 = 0.
        ps2 = 0.

        for ii in range(samples):
Martin Reinecke's avatar
Martin Reinecke committed
112
            rand_k = ift.Field.from_random('normal', domain=fulldomain)
Martin Reinecke's avatar
Martin Reinecke committed
113
            sk = S_1.times(S_2.times(rand_k))
Martin Reinecke's avatar
Martin Reinecke committed
114
115
            sp = ift.power_analyze(sk, spaces=(0, 1),
                                   keep_phase_information=False)
Martin Reinecke's avatar
Martin Reinecke committed
116
117
            ps1 += sp.sum(spaces=1)/fp2.sum()
            ps2 += sp.sum(spaces=0)/fp1.sum()
Martin Reinecke's avatar
Martin Reinecke committed
118

Martin Reinecke's avatar
Martin Reinecke committed
119
120
        assert_allclose((ps1/samples).local_data, fp1.local_data, rtol=0.2)
        assert_allclose((ps2/samples).local_data, fp2.local_data, rtol=0.2)
Martin Reinecke's avatar
Martin Reinecke committed
121

Martin Reinecke's avatar
Martin Reinecke committed
122
    def test_vdot(self):
Martin Reinecke's avatar
Martin Reinecke committed
123
124
125
        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)
Martin Reinecke's avatar
Martin Reinecke committed
126
        assert_allclose(f1.vdot(f2), f1.vdot(f2, spaces=0))
127
        assert_allclose(f1.vdot(f2), np.conj(f2.vdot(f1)))
128
129
130
131

    def test_vdot2(self):
        x1 = ift.RGSpace((200,))
        x2 = ift.RGSpace((150,))
Martin Reinecke's avatar
Martin Reinecke committed
132
        m = ift.Field.full((x1, x2), .5)
133
        res = m.vdot(m, spaces=1)
Martin Reinecke's avatar
Martin Reinecke committed
134
        assert_allclose(res.local_data, 37.5)