point_sources.py 2.13 KB
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import numpy as np
from scipy.stats import invgamma, norm
from ..field import Field
from ..sugar import makeOp
from ..multi import MultiField
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from ..models import Model
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from ..operators import SelectionOperator
from ..utilities import memo


class PointSources(Model):
    def __init__(self, position, alpha, q):
        super(PointSources, self).__init__(position)
        self._alpha = alpha
        self._q = q

    def at(self, position):
        return self.__class__(position, self._alpha, self._q)

    @property
    @memo
    def value(self):
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        points = self.position['points'].local_data
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        points = np.clip(points, None, 8.2)
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        points = Field.from_local_data(self.position['points'].domain, points)
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        return self.IG(points, self._alpha, self._q)

    @property
    @memo
    def gradient(self):
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        u = self.position['points'].local_data
        inner = norm.pdf(u)
        outer_inv = invgamma.pdf(invgamma.ppf(norm.cdf(u),
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                                              self._alpha,
                                              scale=self._q),
                                 self._alpha, scale=self._q)
        # FIXME
        outer_inv = np.clip(outer_inv, 1e-20, None)
        outer = 1/outer_inv
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        grad = Field.from_local_data(self.position['points'].domain,
                                     inner*outer)
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        grad = makeOp(MultiField({'points': grad}))
        return SelectionOperator(grad.target, 'points')*grad

    @staticmethod
    def IG(field, alpha, q):
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        foo = invgamma.ppf(norm.cdf(field.local_data), alpha, scale=q)
        return Field.from_local_data(field.domain, foo)
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    @staticmethod
    def IG_prime(field, alpha, q):
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        inner = norm.pdf(field.local_data)
        outer = invgamma.pdf(invgamma.ppf(norm.cdf(field.local_data), alpha, scale=q), alpha, scale=q)
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        # # FIXME
        # outer = np.clip(outer, 1e-20, None)
        outer = 1/outer
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        return Field.from_local_data(field.domain, inner*outer)
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    @staticmethod
    def inverseIG(u, alpha, q):
        res = norm.ppf(invgamma.cdf(u, alpha, scale=q))
        # # FIXME
        # res = np.clip(res, 0, None)
        return res