simple_linear_operators.py 4.83 KB
Newer Older
Martin Reinecke's avatar
Martin Reinecke committed
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
# 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/>.
#
# Copyright(C) 2013-2018 Max-Planck-Society
#
# NIFTy is being developed at the Max-Planck-Institut fuer Astrophysik
# and financially supported by the Studienstiftung des deutschen Volkes.

from __future__ import absolute_import, division, print_function

import numpy as np

from ..compat import *
from ..domain_tuple import DomainTuple
Martin Reinecke's avatar
Martin Reinecke committed
25
from ..multi_domain import MultiDomain
Martin Reinecke's avatar
Martin Reinecke committed
26
27
from ..domains.unstructured_domain import UnstructuredDomain
from .linear_operator import LinearOperator
Martin Reinecke's avatar
Martin Reinecke committed
28
from .endomorphic_operator import EndomorphicOperator
Martin Reinecke's avatar
Martin Reinecke committed
29
from ..sugar import full
Martin Reinecke's avatar
Martin Reinecke committed
30
from ..field import Field
Martin Reinecke's avatar
Martin Reinecke committed
31
from ..multi_field import MultiField
Martin Reinecke's avatar
Martin Reinecke committed
32
33
34
35
36


class VdotOperator(LinearOperator):
    def __init__(self, field):
        self._field = field
Martin Reinecke's avatar
Martin Reinecke committed
37
        self._domain = field.domain
Martin Reinecke's avatar
Martin Reinecke committed
38
        self._target = DomainTuple.scalar_domain()
Martin Reinecke's avatar
Martin Reinecke committed
39
        self._capability =  self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
40
41
42
43

    def apply(self, x, mode):
        self._check_input(x, mode)
        if mode == self.TIMES:
Martin Reinecke's avatar
Martin Reinecke committed
44
            return Field(self._target, self._field.vdot(x))
Martin Reinecke's avatar
Martin Reinecke committed
45
        return self._field*x.local_data[()]
Martin Reinecke's avatar
Martin Reinecke committed
46
47
48
49
50
51


class SumReductionOperator(LinearOperator):
    def __init__(self, domain):
        self._domain = domain
        self._target = DomainTuple.scalar_domain()
Martin Reinecke's avatar
Martin Reinecke committed
52
        self._capability =  self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
53
54
55
56
57
58

    def apply(self, x, mode):
        self._check_input(x, mode)
        if mode == self.TIMES:
            return Field(self._target, x.sum())
        return full(self._domain, x.local_data[()])
Martin Reinecke's avatar
Martin Reinecke committed
59
60
61
62
63


class ConjugationOperator(EndomorphicOperator):
    def __init__(self, domain):
        self._domain = domain
Martin Reinecke's avatar
Martin Reinecke committed
64
        self._capability =  self._all_ops
Martin Reinecke's avatar
Martin Reinecke committed
65
66
67
68
69
70
71
72
73

    def apply(self, x, mode):
        self._check_input(x, mode)
        return x.conjugate()


class Realizer(EndomorphicOperator):
    def __init__(self, domain):
        self._domain = domain
Martin Reinecke's avatar
Martin Reinecke committed
74
        self._capability =  self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
75
76
77
78

    def apply(self, x, mode):
        self._check_input(x, mode)
        return x.real
Martin Reinecke's avatar
Martin Reinecke committed
79
80
81
82
83
84
85


class FieldAdapter(LinearOperator):
    def __init__(self, dom, name_dom):
        self._domain = MultiDomain.make(dom)
        self._name = name_dom
        self._target = dom[name_dom]
Martin Reinecke's avatar
Martin Reinecke committed
86
        self._capability =  self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
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

    def apply(self, x, mode):
        self._check_input(x, mode)

        if mode == self.TIMES:
            return x[self._name]
        values = tuple(Field.full(dom, 0.) if key != self._name else x
                       for key, dom in self._domain.items())
        return MultiField(self._domain, values)


class GeometryRemover(LinearOperator):
    """Operator which transforms between a structured and an unstructured
    domain.

    Parameters
    ----------
    domain: Domain, tuple of Domain, or DomainTuple:
        the full input domain of the operator.

    Notes
    -----
    The operator will convert every sub-domain of its input domain to an
    UnstructuredDomain with the same shape. No weighting by volume factors
    is carried out.
    """

    def __init__(self, domain):
        self._domain = DomainTuple.make(domain)
        target_list = [UnstructuredDomain(dom.shape) for dom in self._domain]
        self._target = DomainTuple.make(target_list)
Martin Reinecke's avatar
Martin Reinecke committed
118
        self._capability =  self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141

    def apply(self, x, mode):
        self._check_input(x, mode)
        if mode == self.TIMES:
            return x.cast_domain(self._target)
        return x.cast_domain(self._domain)


class NullOperator(LinearOperator):
    """Operator corresponding to a matrix of all zeros.

    Parameters
    ----------
    domain : DomainTuple or MultiDomain
        input domain
    target : DomainTuple or MultiDomain
        output domain
    """

    def __init__(self, domain, target):
        from ..sugar import makeDomain
        self._domain = makeDomain(domain)
        self._target = makeDomain(target)
Martin Reinecke's avatar
Martin Reinecke committed
142
        self._capability =  self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
143
144
145
146
147
148
149
150
151
152
153
154
155
156

    @staticmethod
    def _nullfield(dom):
        if isinstance(dom, DomainTuple):
            return Field.full(dom, 0)
        else:
            return MultiField.full(dom, 0)

    def apply(self, x, mode):
        self._check_input(x, mode)

        if mode == self.TIMES:
            return self._nullfield(self._target)
        return self._nullfield(self._domain)