simple_linear_operators.py 6 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
# 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

from ..compat import *
from ..domain_tuple import DomainTuple
from ..domains.unstructured_domain import UnstructuredDomain
Martin Reinecke's avatar
Martin Reinecke committed
24
from ..field import Field
Philipp Arras's avatar
Philipp Arras committed
25
from ..multi_domain import MultiDomain
Martin Reinecke's avatar
Martin Reinecke committed
26
from ..multi_field import MultiField
Philipp Arras's avatar
Philipp Arras committed
27
28
from .endomorphic_operator import EndomorphicOperator
from .linear_operator import LinearOperator
Martin Reinecke's avatar
Martin Reinecke committed
29
30
31
32
33


class VdotOperator(LinearOperator):
    def __init__(self, field):
        self._field = field
Martin Reinecke's avatar
Martin Reinecke committed
34
        self._domain = field.domain
Martin Reinecke's avatar
Martin Reinecke committed
35
        self._target = DomainTuple.scalar_domain()
Martin Reinecke's avatar
Martin Reinecke committed
36
        self._capability = self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
37
38

    def apply(self, x, mode):
Martin Reinecke's avatar
Martin Reinecke committed
39
        self._check_mode(mode)
Martin Reinecke's avatar
Martin Reinecke committed
40
        if mode == self.TIMES:
Martin Reinecke's avatar
Martin Reinecke committed
41
            return Field.scalar(self._field.vdot(x))
Martin Reinecke's avatar
Martin Reinecke committed
42
        return self._field*x.local_data[()]
Martin Reinecke's avatar
Martin Reinecke committed
43
44


Martin Reinecke's avatar
Martin Reinecke committed
45
46
class ConjugationOperator(EndomorphicOperator):
    def __init__(self, domain):
Martin Reinecke's avatar
Martin Reinecke committed
47
        self._domain = DomainTuple.make(domain)
Martin Reinecke's avatar
Martin Reinecke committed
48
        self._capability = self._all_ops
Martin Reinecke's avatar
Martin Reinecke committed
49
50
51
52
53
54
55
56

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


class Realizer(EndomorphicOperator):
    def __init__(self, domain):
Martin Reinecke's avatar
Martin Reinecke committed
57
        self._domain = DomainTuple.make(domain)
Martin Reinecke's avatar
Martin Reinecke committed
58
        self._capability = self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
59
60
61
62

    def apply(self, x, mode):
        self._check_input(x, mode)
        return x.real
Martin Reinecke's avatar
Martin Reinecke committed
63
64


65
class FieldAdapter(LinearOperator):
Martin Reinecke's avatar
Martin Reinecke committed
66
    """Operator for conversion between Fields and MultiFields.
Philipp Arras's avatar
Philipp Arras committed
67
68
69

    Parameters
    ----------
Martin Reinecke's avatar
Martin Reinecke committed
70
71
72
73
74
75
76
77
    tgt : Domain, tuple of Domain, DomainTuple, dict or MultiDomain:
        If this is a Domain, tuple of Domain or DomainTuple, this will be the
        operator's target, and its domain will be a MultiDomain consisting of
        its domain with the supplied `name`
        If this is a dict or MultiDomain, everything except for `name` will
        be stripped out of it, and the result will be the operator's target.
        Its domain will then be the DomainTuple corresponding to the single
        entry in the operator's domain.
Philipp Arras's avatar
Philipp Arras committed
78
79

    name : String
Martin Reinecke's avatar
Martin Reinecke committed
80
        The relevant key of the MultiDomain.
Philipp Arras's avatar
Philipp Arras committed
81
82
    """

Martin Reinecke's avatar
Martin Reinecke committed
83
84
85
86
87
88
89
90
91
    def __init__(self, tgt, name):
        from ..sugar import makeDomain
        tmp = makeDomain(tgt)
        if isinstance(tmp, DomainTuple):
            self._target = tmp
            self._domain = MultiDomain.make({name: tmp})
        else:
            self._domain = tmp[name]
            self._target = MultiDomain.make({name: tmp[name]})
Martin Reinecke's avatar
Martin Reinecke committed
92
        self._capability = self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
93
94
95

    def apply(self, x, mode):
        self._check_input(x, mode)
Martin Reinecke's avatar
Martin Reinecke committed
96
        if isinstance(x, MultiField):
Martin Reinecke's avatar
Martin Reinecke committed
97
            return x.values()[0]
Martin Reinecke's avatar
Martin Reinecke committed
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
        else:
            return MultiField(self._tgt(mode), (x,))

    def __repr__(self):
        key = self.domain.keys()[0]
        return 'FieldAdapter: {}'.format(key)


def ducktape(left, right, name):
    from ..sugar import makeDomain
    from .operator import Operator
    if left is None:  # need to infer left from right
        if isinstance(right, Operator):
            right = right.target
        elif right is not None:
            right = makeDomain(right)
        if isinstance(right, MultiDomain):
            left = right[name]
        else:
            left = MultiDomain.make({name: right})
    else:
        if isinstance(left, Operator):
            left = left.domain
        else:
            left = makeDomain(left)
123
    return FieldAdapter(left, name)
Martin Reinecke's avatar
Martin Reinecke committed
124
125
126
127
128
129
130
131
132
133


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.
134
135
136
    space: int, optional
        The index of the subdomain on which the operator should act
        If None, it acts on all spaces
Martin Reinecke's avatar
Martin Reinecke committed
137
138
139
140
141
142
143
144

    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.
    """

145
    def __init__(self, domain, space=None):
Martin Reinecke's avatar
Martin Reinecke committed
146
        self._domain = DomainTuple.make(domain)
147
148
149
150
151
152
        if space is not None:
            tgt = [dom for dom in self._domain]
            tgt[space] = UnstructuredDomain(self._domain[space].shape)
        else:
            tgt = [UnstructuredDomain(dom.shape) for dom in self._domain]
        self._target = DomainTuple.make(tgt)
Martin Reinecke's avatar
Martin Reinecke committed
153
        self._capability = self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
154
155
156

    def apply(self, x, mode):
        self._check_input(x, mode)
Martin Reinecke's avatar
Martin Reinecke committed
157
        return x.cast_domain(self._tgt(mode))
Martin Reinecke's avatar
Martin Reinecke committed
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174


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
175
        self._capability = self.TIMES | self.ADJOINT_TIMES
Martin Reinecke's avatar
Martin Reinecke committed
176
177
178
179

    @staticmethod
    def _nullfield(dom):
        if isinstance(dom, DomainTuple):
Martin Reinecke's avatar
Martin Reinecke committed
180
            return Field(dom, 0)
Martin Reinecke's avatar
Martin Reinecke committed
181
182
183
184
185
        else:
            return MultiField.full(dom, 0)

    def apply(self, x, mode):
        self._check_input(x, mode)
Martin Reinecke's avatar
Martin Reinecke committed
186
        return self._nullfield(self._tgt(mode))