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Holger Kohr
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Oct 5, 2017
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"""Example demonstrating the usage of the ``auto_weighting`` decorator.""" | ||
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import odl | ||
from odl.space.space_utils import auto_weighting | ||
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class ScalingOp(odl.Operator): | ||
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"""Operator that scales input by a constant.""" | ||
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def __init__(self, dom, ran, c): | ||
super(ScalingOp, self).__init__(dom, ran, linear=True) | ||
self.c = c | ||
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def _call(self, x): | ||
return self.c * x | ||
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@property | ||
@auto_weighting | ||
def adjoint(self): | ||
return ScalingOp(self.range, self.domain, self.c) | ||
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rn = odl.rn(2) # Constant weight 1 | ||
discr = odl.uniform_discr(0, 4, 2) # Constant weight 2 | ||
print('*** Spaces ***') | ||
print('Rn =', rn, '- weight =', rn.weighting.const) | ||
print('discr =', discr, '- weight =', discr.weighting.const) | ||
print('') | ||
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op1 = ScalingOp(rn, rn, 2) # Same weightings, no scaling in adjoint | ||
op2 = ScalingOp(discr, discr, 2) # Same weightings, no scaling in adjoint | ||
op3 = ScalingOp(rn, discr, 2) # Different weightings, adjoint scales | ||
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# Look at output of ajoint | ||
print('*** Ajoint evaluation ***') | ||
print('Rn -> Rn adjoint at one :', op1.adjoint(op1.range.one())) | ||
print('discr -> discr adjoint at one:', op2.adjoint(op2.range.one())) | ||
print('Rn -> discr adjoint at one :', op3.adjoint(op3.range.one())) | ||
print('') | ||
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# Check adjointness | ||
print('*** Check adjointness ***') | ||
inner1_dom = op1.domain.one().inner(op1.adjoint(op1.range.one())) | ||
inner1_ran = op1(op1.domain.one()).inner(op1.range.one()) | ||
print('Rn -> Rn: <Sx, y> = {}, <x, S^*y> = {}' | ||
''.format(inner1_ran, inner1_dom)) | ||
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inner2_dom = op2.domain.one().inner(op2.adjoint(op2.range.one())) | ||
inner2_ran = op2(op2.domain.one()).inner(op2.range.one()) | ||
print('discr -> discr: <Sx, y> = {}, <x, S^*y> = {}' | ||
''.format(inner2_ran, inner2_dom)) | ||
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inner3_dom = op3.domain.one().inner(op3.adjoint(op3.range.one())) | ||
inner3_ran = op3(op3.domain.one()).inner(op3.range.one()) | ||
print('Rn -> discr: <Sx, y> = {}, <x, S^*y> = {}' | ||
''.format(inner3_ran, inner3_dom)) |