nwaylib package#
Submodules#
nwaylib.bayesdistance module#
Probabilistic Cross-Identification of Astronomical Sources
Reference: Budavari & Szalay (2008), ApJ, 679:301-309 Authors: Johannes Buchner (C) 2013-2020 Authors: Tamas Budavari (C) 2012
- nwaylib.bayesdistance.log_posterior(prior, log_bf)[source]#
Returns log10 posterior probability normalised against alternative hypothesis that the sources are unrelated (Budavari+08)
- nwaylib.bayesdistance.posterior(prior, log_bf)[source]#
Returns posterior probability normalised against alternative hypothesis that the sources are unrelated (Budavari+08)
- nwaylib.bayesdistance.unnormalised_log_posterior(prior, log_bf, ncat)[source]#
Returns posterior probability (without normalisation against alternatives)
- nwaylib.bayesdistance.log_bf2(psi, s1, s2)[source]#
log10 of the 2-way Bayes factor, see eq.(16) psi separation s1 and s2=accuracy of coordinates
- nwaylib.bayesdistance.log_bf3(p12, p23, p31, s1, s2, s3)[source]#
log10 of the 3-way Bayes factor, see eq.(17)
- nwaylib.bayesdistance.log_bf(p, s)[source]#
log10 of the multi-way Bayes factor, see eq.(18)
p: separations matrix (NxN matrix of arrays) s: errors (list of N arrays)
- nwaylib.bayesdistance.assert_possemdef(M)[source]#
Check that the 2x2 matrix M is positive semi-definite, vectorized
- nwaylib.bayesdistance.apply_vector_right(A, b)[source]#
multiply 2D vector with 2D matrix, vectorized
- nwaylib.bayesdistance.apply_vector_left(a, B)[source]#
multiply 2D matrix with 2D vector, vectorized
- nwaylib.bayesdistance.make_covmatrix(sigma_x, sigma_y, rho=0)[source]#
create covariance matrix from given standard deviations and normalised correlation rho, vectorized
- nwaylib.bayesdistance.make_invcovmatrix(sigma_x, sigma_y, rho=0)[source]#
create inverse covariance matrix from given standard deviations and normalised correlation rho, vectorized
- nwaylib.bayesdistance.convert_from_ellipse(a, b, phi)[source]#
create covariance parameters from ellipse major axis a, minor axis b and angle phi; vectorized
as in Pineau+16, eq 8-10, for example.
- nwaylib.bayesdistance.log_bf_elliptical(separations_ra, separations_dec, pos_errors)[source]#
log10 of the multi-way Bayes factor, see eq.(18)
separations_ra: RA separations matrix (NxN matrix of arrays) separations_dec: DEC separations matrix (NxN matrix of arrays) pos_errors: errors (list of (N,3) arrays) giving sigma_RA, sigma_DEC, rho
nwaylib.checkupdates module#
nwaylib.fastskymatch module#
Functions for finding pairs within a certain search distance “err”.
Very fast method based on hashing.
- nwaylib.fastskymatch.dist(apos, bpos)[source]#
Angular separation (in degrees) between two points on a sphere. http://en.wikipedia.org/wiki/Great-circle_distance
- nwaylib.fastskymatch.dist3d(apos, bpos)[source]#
Angular separation in ra & dec between two points on a sphere.
- nwaylib.fastskymatch.match_multiple(tables, table_names, err, fits_formats, logger, circular=True, pairwise_errs=[])[source]#
computes the cartesian product of all possible matches, limited to a maximum distance of err (in degrees).
tables: input FITS table table_names: names of the tables fits_formats: FITS data type of the columns of each table
returns results: cartesian product of all possible matches (smaller than err) cat_columns: table with separation distances in arcsec header: which columns were used in each table for RA/DEC
nwaylib.logger module#
nwaylib.magnitudeweights module#
Computes adaptively binned histograms of two distributions.
Provides smooth biasing functions and plots them.
This is not specific for magnitudes, it can be any provided property.
- nwaylib.magnitudeweights.ratio(hist_sel, hist_all)[source]#
ratio between the two histograms. Minor offsets to avoid zero and inf.
nwaylib.progress module#
Module contents#
Multiway association between astrometric catalogues
- nwaylib.nway_match(match_tables, match_radius, prior_completeness, mag_include_radius=None, mag_exclude_radius=None, magauto_post_single_minvalue=0.9, prob_ratio_secondary=0.5, min_prob=0.0, consider_unrelated_associations=True, store_mag_hists=True, logger=<nwaylib.logger.NormalLogger object>)[source]#
- match_tables: list of catalogues, each a dict with entries:
name (short catalog name, no spaces, used in output columns)
ra (RA in degrees)
dec (dec in degrees)
error (positional error in arcsec)
area (sky area covered by the catalogue in square degrees)
mags (list of additional columns to consider as priors)
magnames (short name for each entry in mags, used in output columns)
maghists (list of prior information for each entry in mags) use None to automatically build a histogram of target/non-target sources. Otherwise, supply the histogram manually: bins_lo, bins_hi, hist_sel, hist_all.
- match_radius: maximum radius in arcsec to consider.
More distant counterparts are cut off. Set to a very large value, e.g. 5 times the largest positional error. Setting to larger values does not change the result, but setting to smaller values improves performance.
- prior_completeness: expected fraction of sources in the primary catalogue
that are expected to have a counterpart (e.g., 90%). If an array is passed, completeness for each catalog. First entry has to be 1.
- mag_include_radius:
search radius for building the magnitude histogram of target sources. If None (default), the Bayesian posterior is used
- mag_exclude_radius:
exclusion radius for building the magnitude histogram of field sources. If None (default), mag_include_radius is used
- magauto_post_single_minvalue:
minimum posterior probability (default: 0.9) for the magnitude histogram of secure target sources. Used in the Bayesian procedure.
prob_ratio_secondary: for each primary catalogue entry, the most probable associations is marked with match_flag=1. Comparably good solutions receive match_flag=2 (all others are match_flag=0). The prob_ratio_secondary parameter controls the lowest probability ratio p(secondary)/p(primary) still considered comparable.
- min_prob: Minimum probability for truncating the output table.
default: 0 (no truncation)
- consider_unrelated_associations: Correction for missing sources in
partial assocations. Keep to True.
store_mag_hists: Write constructed mag hists to file (filename based on table name and mags).
logger: NormalLogger for stderr output and progress bars, NullOutputLogger if silent