text stringlengths 0 828 |
|---|
\rho_0 \frac{\left[-m (\omega \tau)^c sin(\frac{c \pi}{2} |
\right] \cdot \left[ 2 \omega^c c \tau^{c-1} cos(\frac{c |
\pi}{2}) + 2 c \omega^{2 c} \tau^{2 c - 1}\right]}{\left[1 + 2 (\omega |
\tau)^c cos(\frac{c \pi}{2}) + (\omega \tau)^{2 c}\right]^2}` |
"""""" |
self._set_parameters(pars) |
# term1 |
nom1 = - self.m * np.sin(self.ang) * self.w ** self.c *\ |
self.c * self.tau ** (self.c - 1) |
term1 = nom1 / self.denom |
# term2 |
nom2 = (self.m * self.otc * np.sin(self.ang)) *\ |
(2 * self.w ** self.c * self.c * self.tau ** (self.c - 1) * |
np.cos(self.ang) + 2 * self.c * self.w ** (2 * self.c) * |
self.tau ** (2 * self.c - 1)) |
term2 = nom2 / self.denom ** 2 |
result = term1 + term2 |
result *= self.rho0 |
return result" |
255,"def dim_dc(self, pars): |
r"""""" |
:math:`\frac{\partial \hat{\rho''}(\omega)}{\partial c} = \rho_0 |
\frac{-m sin(\frac{c \pi}{2}) ln(\omega \tau)(\omega \tau)^c - m |
(\omega \tau)^c \frac{\pi}{2} cos(\frac{\pi}{2}}{1 + 2 (\omega \tau)^c |
cos(\frac{c \pi}{2}) + (\omega \tau)^{2 c}} + \rho_0 \frac{\left[-m |
(\omega \tau)^c cos(\frac{c \pi}{2}) \right] \cdot \left[ -2 ln(\omega |
\tau) (\omega \tau)^c cos(\frac{c \pi}{2}) + 2 (\omega \tau)^c |
\frac{\pi}{2} cos(\frac{c \pi}{2}) \right] + \left[2 ln(\omega \tau) |
(\omega \tau)^{2 c}\right]}{\left[1 + 2 (\omega \tau)^c cos(\frac{c |
\pi}{2}) + (\omega \tau)^{2 c}\right]^2}` |
"""""" |
self._set_parameters(pars) |
# term1 |
nom1a = - self.m * np.log(self.w * self.tau) * self.otc *\ |
np.sin(self.ang) |
nom1b = - self.m * self.otc * (np.pi / 2.0) * np.cos(self.ang) |
term1 = (nom1a + nom1b) / self.denom |
# term2 |
nom2 = (self.m * self.otc * np.sin(self.ang)) *\ |
(2 * np.log(self.w * self.tau) * self.otc * np.cos(self.ang) - |
2 * self.otc * (np.pi / 2.0) * np.sin(self.ang) + |
2 * np.log(self.w * self.tau) * self.otc2) |
term2 = nom2 / self.denom ** 2 |
result = term1 + term2 |
result *= self.rho0 |
return result" |
256,"def Jacobian_re_im(self, pars): |
r"""""" |
:math:`J` |
>>> import sip_models.res.cc as cc |
>>> import numpy as np |
>>> f = np.logspace(-3, 3, 20) |
>>> pars = [100, 0.1, 0.04, 0.8] |
>>> obj = cc.cc(f) |
>>> J = obj.Jacobian_re_im(pars) |
"""""" |
partials = [] |
# partials.append(self.dre_dlog10rho0(pars)[:, np.newaxis, :]) |
partials.append(self.dre_drho0(pars)[:, np.newaxis]) |
partials.append(self.dre_dm(pars)) |
# partials.append(self.dre_dlog10tau(pars)) |
partials.append(self.dre_dtau(pars)) |
partials.append(self.dre_dc(pars)) |
# partials.append(self.dim_dlog10rho0(pars)[:, np.newaxis, :]) |
partials.append(self.dim_drho0(pars)[:, np.newaxis]) |
partials.append(self.dim_dm(pars)) |
# partials.append(self.dim_dlog10tau(pars)) |
partials.append(self.dim_dtau(pars)) |
partials.append(self.dim_dc(pars)) |
print('SHAPES') |
for x in partials: |
print(x.shape) |
J = np.concatenate(partials, axis=1) |
return J" |
257,"def read_dict_or_list_from_json(desired_type: Type[dict], file_object: TextIOBase, |
logger: Logger, conversion_finder: ConversionFinder, **kwargs) -> Dict[str, Any]: |
"""""" |
Helper method to read a dictionary from a .json file using json library |
:param file_object: |
:return: |
"""""" |
# lazy import in order not to force use of jprops |
import json |
res = json.load(file_object) |
# convert if required |
return ConversionFinder.convert_collection_values_according_to_pep(res, desired_type, conversion_finder, logger, **kwargs)" |
258,"def get_default_collection_parsers(parser_finder: ParserFinder, conversion_finder: ConversionFinder) -> List[AnyParser]: |
"""""" |
Utility method to return the default parsers able to parse a dictionary from a file. |
:return: |
"""""" |
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