operator.py 6.36 KB
Newer Older
Martin Reinecke's avatar
Martin Reinecke committed
1 2
from __future__ import absolute_import, division, print_function

Martin Reinecke's avatar
Martin Reinecke committed
3
import numpy as np
Martin Reinecke's avatar
Martin Reinecke committed
4
from ..compat import *
Philipp Arras's avatar
Philipp Arras committed
5
from ..utilities import NiftyMetaBase
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
    def __add__(self, x):
        if not isinstance(x, Operator):
            return NotImplemented
Martin Reinecke's avatar
Martin Reinecke committed
58
        return _OpSum(self, x)
Philipp Arras's avatar
Philipp Arras committed
59

60 61 62 63 64
    def __sub__(self, x):
        if not isinstance(x, Operator):
            return NotImplemented
        return _OpSum(self, -x)

Martin Reinecke's avatar
Martin Reinecke committed
65 66 67 68 69
    def __pow__(self, power):
        if not np.isscalar(power):
            return NotImplemented
        return _OpChain.make((_PowerOp(self.target, power), self))

Martin Reinecke's avatar
Martin Reinecke committed
70 71
    def apply(self, x):
        raise NotImplementedError
Martin Reinecke's avatar
Martin Reinecke committed
72

Philipp Arras's avatar
Philipp Arras committed
73 74 75
    def force(self, x):
        return self.apply(x.extract(self.domain))

76 77 78 79 80 81
    def _check_input(self, x):
        from ..linearization import Linearization
        d = x.target if isinstance(x, Linearization) else x.domain
        if self._domain != d:
            raise ValueError("The operator's and field's domains don't match.")

Martin Reinecke's avatar
Martin Reinecke committed
82
    def __call__(self, x):
Martin Reinecke's avatar
Martin Reinecke committed
83 84 85
        if isinstance(x, Operator):
            return _OpChain.make((self, x))
        return self.apply(x)
Martin Reinecke's avatar
Martin Reinecke committed
86

Martin Reinecke's avatar
Martin Reinecke committed
87 88 89
    def __repr__(self):
        return self.__class__.__name__

Martin Reinecke's avatar
Martin Reinecke committed
90

Martin Reinecke's avatar
Martin Reinecke committed
91 92 93
for f in ["sqrt", "exp", "log", "tanh", "positive_tanh"]:
    def func(f):
        def func2(self):
94
            fa = _FunctionApplier(self.target, f)
Martin Reinecke's avatar
Martin Reinecke committed
95 96 97 98 99 100 101 102
            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
103
        self._domain = self._target = makeDomain(domain)
Martin Reinecke's avatar
Martin Reinecke committed
104 105
        self._funcname = funcname

Martin Reinecke's avatar
Martin Reinecke committed
106
    def apply(self, x):
107
        self._check_input(x)
Martin Reinecke's avatar
Martin Reinecke committed
108 109 110
        return getattr(x, self._funcname)()


Martin Reinecke's avatar
Martin Reinecke committed
111 112 113 114 115 116 117 118 119 120 121
class _PowerOp(Operator):
    def __init__(self, domain, power):
        from ..sugar import makeDomain
        self._domain = self._target = makeDomain(domain)
        self._power = power

    def apply(self, x):
        self._check_input(x)
        return x**self._power


Martin Reinecke's avatar
Martin Reinecke committed
122 123 124 125 126 127 128 129 130 131
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
132
                res = cls.unpack(op._ops, res)
Martin Reinecke's avatar
Martin Reinecke committed
133 134 135 136 137 138 139 140 141 142 143 144 145 146 147
            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
148 149
        self._domain = self._ops[-1].domain
        self._target = self._ops[0].target
Martin Reinecke's avatar
Martin Reinecke committed
150 151 152
        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
153

Martin Reinecke's avatar
Martin Reinecke committed
154
    def apply(self, x):
155
        self._check_input(x)
Martin Reinecke's avatar
Martin Reinecke committed
156 157 158 159 160
        for op in reversed(self._ops):
            x = op(x)
        return x


Martin Reinecke's avatar
Martin Reinecke committed
161 162 163 164 165 166 167 168 169
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
170

Martin Reinecke's avatar
Martin Reinecke committed
171
    def apply(self, x):
Martin Reinecke's avatar
Martin Reinecke committed
172 173
        from ..linearization import Linearization
        from ..sugar import makeOp
174
        self._check_input(x)
Martin Reinecke's avatar
Martin Reinecke committed
175
        lin = isinstance(x, Linearization)
176 177 178
        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
179
        if not lin:
180
            return self._op1(v1) * self._op2(v2)
181 182 183
        wm = x.want_metric
        lin1 = self._op1(Linearization.make_var(v1, wm))
        lin2 = self._op2(Linearization.make_var(v2, wm))
Martin Reinecke's avatar
Martin Reinecke committed
184 185
        op = (makeOp(lin1._val)(lin2._jac))._myadd(
            makeOp(lin2._val)(lin1._jac), False)
186
        return lin1.new(lin1._val*lin2._val, op(x.jac))
Martin Reinecke's avatar
Martin Reinecke committed
187 188


Martin Reinecke's avatar
Martin Reinecke committed
189 190
class _OpSum(Operator):
    def __init__(self, op1, op2):
Philipp Arras's avatar
Philipp Arras committed
191
        from ..sugar import domain_union
Martin Reinecke's avatar
Martin Reinecke committed
192 193 194 195
        self._domain = domain_union((op1.domain, op2.domain))
        self._target = domain_union((op1.target, op2.target))
        self._op1 = op1
        self._op2 = op2
Philipp Arras's avatar
Philipp Arras committed
196 197

    def apply(self, x):
Martin Reinecke's avatar
Martin Reinecke committed
198
        from ..linearization import Linearization
199
        self._check_input(x)
Martin Reinecke's avatar
Martin Reinecke committed
200 201 202 203
        lin = isinstance(x, Linearization)
        v = x._val if lin else x
        v1 = v.extract(self._op1.domain)
        v2 = v.extract(self._op2.domain)
Philipp Arras's avatar
Philipp Arras committed
204
        res = None
Martin Reinecke's avatar
Martin Reinecke committed
205 206
        if not lin:
            return self._op1(v1).unite(self._op2(v2))
207 208 209
        wm = x.want_metric
        lin1 = self._op1(Linearization.make_var(v1, wm))
        lin2 = self._op2(Linearization.make_var(v2, wm))
Martin Reinecke's avatar
Martin Reinecke committed
210
        op = lin1._jac._myadd(lin2._jac, False)
211
        res = lin1.new(lin1._val+lin2._val, op(x.jac))
Martin Reinecke's avatar
Martin Reinecke committed
212 213
        if lin1._metric is not None and lin2._metric is not None:
            res = res.add_metric(lin1._metric + lin2._metric)
Philipp Arras's avatar
Philipp Arras committed
214
        return res