operator.py 4.91 KB
Newer Older
Martin Reinecke's avatar
Martin Reinecke committed
1
2
3
from __future__ import absolute_import, division, print_function

from ..compat import *
Martin Reinecke's avatar
tmp  
Martin Reinecke committed
4
5
from ..utilities import NiftyMetaBase, my_product
from ..domain_tuple import DomainTuple
Martin Reinecke's avatar
Martin Reinecke committed
6
7
8
9
10
11
12


class Operator(NiftyMetaBase()):
    """Transforms values living on one domain into values living on another
    domain, and can also provide the Jacobian.
    """

Martin Reinecke's avatar
Martin Reinecke committed
13
    @property
Martin Reinecke's avatar
Martin Reinecke committed
14
15
16
17
    def domain(self):
        """DomainTuple or MultiDomain : the operator's input domain

            The domain on which the Operator's input Field lives."""
Martin Reinecke's avatar
Martin Reinecke committed
18
        return self._domain
Martin Reinecke's avatar
Martin Reinecke committed
19

Martin Reinecke's avatar
Martin Reinecke committed
20
    @property
Martin Reinecke's avatar
Martin Reinecke committed
21
22
23
24
    def target(self):
        """DomainTuple or MultiDomain : the operator's output domain

            The domain on which the Operator's output Field lives."""
Martin Reinecke's avatar
Martin Reinecke committed
25
        return self._target
Martin Reinecke's avatar
Martin Reinecke committed
26

Martin Reinecke's avatar
cleanup  
Martin Reinecke committed
27
28
29
30
31
32
33
34
35
36
    def scale(self, factor):
        if factor == 1:
            return self
        from .scaling_operator import ScalingOperator
        return ScalingOperator(factor, self.target)(self)

    def conjugate(self):
        from .simple_linear_operators import ConjugationOperator
        return ConjugationOperator(self.target)(self)

Martin Reinecke's avatar
Martin Reinecke committed
37
38
39
40
41
    @property
    def real(self):
        from .simple_linear_operators import Realizer
        return Realizer(self.target)(self)

Martin Reinecke's avatar
cleanup  
Martin Reinecke committed
42
43
44
    def __neg__(self):
        return self.scale(-1)

Martin Reinecke's avatar
Martin Reinecke committed
45
46
47
    def __matmul__(self, x):
        if not isinstance(x, Operator):
            return NotImplemented
Martin Reinecke's avatar
Martin Reinecke committed
48
        return _OpChain.make((self, x))
Martin Reinecke's avatar
Martin Reinecke committed
49

Martin Reinecke's avatar
Martin Reinecke committed
50
51
52
    def __mul__(self, x):
        if not isinstance(x, Operator):
            return NotImplemented
Martin Reinecke's avatar
Martin Reinecke committed
53
        return _OpProd(self, x)
Martin Reinecke's avatar
Martin Reinecke committed
54

Philipp Arras's avatar
Philipp Arras committed
55
56
57
58
59
    def __add__(self, x):
        if not isinstance(x, Operator):
            return NotImplemented
        return _OpSum.make([self, x])

Martin Reinecke's avatar
Martin Reinecke committed
60
61
    def apply(self, x):
        raise NotImplementedError
Martin Reinecke's avatar
Martin Reinecke committed
62
63

    def __call__(self, x):
Martin Reinecke's avatar
Martin Reinecke committed
64
65
66
        if isinstance(x, Operator):
            return _OpChain.make((self, x))
        return self.apply(x)
Martin Reinecke's avatar
Martin Reinecke committed
67

Martin Reinecke's avatar
Martin Reinecke committed
68
69
70
    def __repr__(self):
        return self.__class__.__name__

Martin Reinecke's avatar
Martin Reinecke committed
71

Martin Reinecke's avatar
Martin Reinecke committed
72
73
74
for f in ["sqrt", "exp", "log", "tanh", "positive_tanh"]:
    def func(f):
        def func2(self):
75
            fa = _FunctionApplier(self.target, f)
Martin Reinecke's avatar
Martin Reinecke committed
76
77
78
79
80
81
82
83
            return _OpChain.make((fa, self))
        return func2
    setattr(Operator, f, func(f))


class _FunctionApplier(Operator):
    def __init__(self, domain, funcname):
        from ..sugar import makeDomain
Martin Reinecke's avatar
Martin Reinecke committed
84
        self._domain = self._target = makeDomain(domain)
Martin Reinecke's avatar
Martin Reinecke committed
85
86
        self._funcname = funcname

Martin Reinecke's avatar
Martin Reinecke committed
87
    def apply(self, x):
Martin Reinecke's avatar
Martin Reinecke committed
88
89
90
        return getattr(x, self._funcname)()


Martin Reinecke's avatar
Martin Reinecke committed
91
92
93
94
95
96
97
98
99
100
class _CombinedOperator(Operator):
    def __init__(self, ops, _callingfrommake=False):
        if not _callingfrommake:
            raise NotImplementedError
        self._ops = tuple(ops)

    @classmethod
    def unpack(cls, ops, res):
        for op in ops:
            if isinstance(op, cls):
Martin Reinecke's avatar
Martin Reinecke committed
101
                res = cls.unpack(op._ops, res)
Martin Reinecke's avatar
Martin Reinecke committed
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
            else:
                res = res + [op]
        return res

    @classmethod
    def make(cls, ops):
        res = cls.unpack(ops, [])
        if len(res) == 1:
            return res[0]
        return cls(res, _callingfrommake=True)


class _OpChain(_CombinedOperator):
    def __init__(self, ops, _callingfrommake=False):
        super(_OpChain, self).__init__(ops, _callingfrommake)
Martin Reinecke's avatar
Martin Reinecke committed
117
118
        self._domain = self._ops[-1].domain
        self._target = self._ops[0].target
Martin Reinecke's avatar
Martin Reinecke committed
119
120
121
        for i in range(1, len(self._ops)):
            if self._ops[i-1].domain != self._ops[i].target:
                raise ValueError("domain mismatch")
Martin Reinecke's avatar
Martin Reinecke committed
122

Martin Reinecke's avatar
Martin Reinecke committed
123
    def apply(self, x):
Martin Reinecke's avatar
Martin Reinecke committed
124
125
126
127
128
        for op in reversed(self._ops):
            x = op(x)
        return x


Martin Reinecke's avatar
Martin Reinecke committed
129
130
131
132
133
134
135
136
137
class _OpProd(Operator):
    def __init__(self, op1, op2):
        from ..sugar import domain_union
        self._domain = domain_union((op1.domain, op2.domain))
        self._target = op1.target
        if op1.target != op2.target:
            raise ValueError("target mismatch")
        self._op1 = op1
        self._op2 = op2
Martin Reinecke's avatar
Martin Reinecke committed
138

Martin Reinecke's avatar
Martin Reinecke committed
139
    def apply(self, x):
Martin Reinecke's avatar
Martin Reinecke committed
140
141
142
        from ..linearization import Linearization
        from ..sugar import makeOp
        lin = isinstance(x, Linearization)
143
144
145
        v = x._val if lin else x
        v1 = v.extract(self._op1.domain)
        v2 = v.extract(self._op2.domain)
Martin Reinecke's avatar
Martin Reinecke committed
146
        if not lin:
147
148
149
            return self._op1(v1) * self._op2(v2)
        lin1 = self._op1(Linearization.make_var(v1))
        lin2 = self._op2(Linearization.make_var(v2))
Martin Reinecke's avatar
Martin Reinecke committed
150
151
        op = (makeOp(lin1._val)(lin2._jac))._myadd(
            makeOp(lin2._val)(lin1._jac), False)
152
        return Linearization(lin1._val*lin2._val, op(x.jac))
Martin Reinecke's avatar
Martin Reinecke committed
153
154


Philipp Arras's avatar
Philipp Arras committed
155
156
157
158
159
160
161
162
163
164
165
166
167
class _OpSum(_CombinedOperator):
    def __init__(self, ops, _callingfrommake=False):
        from ..sugar import domain_union
        super(_OpSum, self).__init__(ops, _callingfrommake)
        self._domain = domain_union([op.domain for op in self._ops])
        self._target = domain_union([op.target for op in self._ops])

    def apply(self, x):
        res = None
        for op in self._ops:
            tmp = op(x.extract(op.domain))
            res = tmp if res is None else res.unite(tmp)
        return res