From 7db4e4cc8e9d9530e57c9bcb3d9943adf96f5fa5 Mon Sep 17 00:00:00 2001 From: Arthus <arthus@gfz-potsdam.de> Date: Mon, 15 Jun 2020 15:21:33 +0200 Subject: [PATCH] Initial file upload. --- FieldTools/meta.yaml | 40 + LICENSE | 674 +++ install.sh | 3 + meta.yaml | 31 + pymagglobal/__init__.py | 32 + pymagglobal/__main__.py | 175 + pymagglobal/commands.py | 316 ++ pymagglobal/dat/ARCH10k.1 | 4 + pymagglobal/dat/CALS3K.1 | 1570 ++++++ pymagglobal/dat/gufm1 | 9172 ++++++++++++++++++++++++++++++++++++ pymagglobal/pymagglobal.py | 170 + pymagglobal/utils.py | 73 + setup.py | 60 + 13 files changed, 12320 insertions(+) create mode 100644 FieldTools/meta.yaml create mode 100644 LICENSE create mode 100644 install.sh create mode 100644 meta.yaml create mode 100644 pymagglobal/__init__.py create mode 100644 pymagglobal/__main__.py create mode 100644 pymagglobal/commands.py create mode 100644 pymagglobal/dat/ARCH10k.1 create mode 100644 pymagglobal/dat/CALS3K.1 create mode 100644 pymagglobal/dat/gufm1 create mode 100644 pymagglobal/pymagglobal.py create mode 100644 pymagglobal/utils.py create mode 100644 setup.py diff --git a/FieldTools/meta.yaml b/FieldTools/meta.yaml new file mode 100644 index 0000000..a4344f9 --- /dev/null +++ b/FieldTools/meta.yaml @@ -0,0 +1,40 @@ +package: + name: pyfield + version: 0.1.2 + +source: + # Get a tarball from GFZ data services + url: ftp://datapub.gfz-potsdam.de/download/10.5880.FIDGEO.2019.033/fieldtools.tar.gz + +build: + script: $PYTHON setup.py build && $PYTHON setup.py install + +requirements: + build: + - {{ compiler('cxx') }} + - swig + - numpy # setup.py relies on numpy + - pkg-config + - eigen + + host: + - python + - setuptools + - numpy + - eigen + + run: + - python + - numpy + - eigen + +test: + commands: + - $PYTHON -c 'import pyfield; import doctest; doctest.testmod(pyfield)' + - $PYTHON -c 'import pyfieldcore; import doctest; doctest.testmod(pyfieldcore)' + imports: + - pyfield + +about: + license: GPLv3 + license_file: LICENSE diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..f288702 --- /dev/null +++ b/LICENSE @@ -0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/> + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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It is safest +to attach them to the start of each source file to most effectively +state the exclusion of warranty; and each file should have at least +the "copyright" line and a pointer to where the full notice is found. + + <one line to give the program's name and a brief idea of what it does.> + Copyright (C) <year> <name of author> + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see <https://www.gnu.org/licenses/>. + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + <program> Copyright (C) <year> <name of author> + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +<https://www.gnu.org/licenses/>. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +<https://www.gnu.org/licenses/why-not-lgpl.html>. diff --git a/install.sh b/install.sh new file mode 100644 index 0000000..23f09af --- /dev/null +++ b/install.sh @@ -0,0 +1,3 @@ +conda build FieldTools +conda build meta.yaml +conda install pymagglobal -c local diff --git a/meta.yaml b/meta.yaml new file mode 100644 index 0000000..7a06f39 --- /dev/null +++ b/meta.yaml @@ -0,0 +1,31 @@ +package: + name: pymagglobal + version: 0.0.2 + +channels: + - conda-forge + - local + +source: + path: ./ + +build: + script: $PYTHON setup.py install + entry_points: + - pymagglobal = pymagglobal.__main__:main + +requirements: + build: + - python + - setuptools + + run: + - python + - numpy + - scipy + - matplotlib + - cartopy + - pyfield + +about: + license: GPLv3 diff --git a/pymagglobal/__init__.py b/pymagglobal/__init__.py new file mode 100644 index 0000000..863f4b3 --- /dev/null +++ b/pymagglobal/__init__.py @@ -0,0 +1,32 @@ +''' + Copyright (C) 2019 Helmholtz Centre Potsdam GFZ, + German Research Centre for Geosciences, Potsdam, Germany + + Cite as: + TODO + + This file is part of pymagmodel. + + pymagmodel is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + pymagmodel is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with pymagmodel. If not, see <https://www.gnu.org/licenses/>. +''' + +# expose only utilities and core modules +__all__ = ['master_curve', 'dipole_series', 'file2splines', 'splines2field', + 'utils'] + +from .pymagglobal import master_curve, dipole_series, file2splines, \ + splines2field +from . import utils + +__version__ = '0.0.2' diff --git a/pymagglobal/__main__.py b/pymagglobal/__main__.py new file mode 100644 index 0000000..12c8719 --- /dev/null +++ b/pymagglobal/__main__.py @@ -0,0 +1,175 @@ +''' + This is the main module of pymagmodel. It is called when using the command + line interface. + + Copyright (C) 2019 Helmholtz Centre Potsdam GFZ, + German Research Centre for Geosciences, Potsdam, Germany + + Cite as: + TODO + + This file is part of pymagmodel. + + pymagmodel is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + pymagmodel is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with pymagmodel. If not, see <https://www.gnu.org/licenses/>. +''' + +import sys +import os +import argparse + +from . import commands + +# generate the path to the model folder and provide included models as a list +here = os.path.abspath(os.path.dirname(__file__)) +datdir = os.path.join(here, 'dat/') +models = [it for it in os.listdir(datdir) + if os.path.isfile(os.path.join(datdir, it))] + + +class ListModelsAction(argparse.Action): + ''' the action class that will produce a list of available models ''' + def __init__(self, option_strings, dest=argparse.SUPPRESS, + default=argparse.SUPPRESS, help=help): + super().__init__(option_strings=option_strings, + dest=dest, + default=default, + nargs=0, + help=help) + + def __call__(self, parser, namespace, values, option_string=None): + print(f'Currently available models are:') + for it in models: + print(it) + parser.exit() + + +def main(): + ''' the main command of pymagglobal. it handles command line arguments and + calls the respective functions from the commands module. + ''' + # the main parsing + parser = argparse.ArgumentParser(add_help=False) + parser.add_argument('-h', '--help', action='help', + default=argparse.SUPPRESS, + help=f'show this message and exit. each of the ' + f'commands above has its own --help, so use e.g. ' + f'master --help to get information on how to create a ' + f'master curve') + parser.add_argument('--list-models', help='list available models and exit', + action=ListModelsAction) + # parser for arguments that are shared between all commands + base_parser = argparse.ArgumentParser(add_help=False) + base_parser.add_argument('--no-show', action='store_true', + help='do not show the results') + base_parser.add_argument('-o', '--output', metavar='<path/to/output>', + type=str, help='where to store the outputs. if ' + f'not given, no output is stored') + # parser for arguments that are shared between time series commands + series_base_parser = argparse.ArgumentParser(add_help=False) + + res_default = 401 + series_excl_group = series_base_parser.add_mutually_exclusive_group() + series_excl_group.add_argument('--res', metavar='n', type=int, + help=f'the resolution of the time series as' + f' a number of points. default is ' + f'{res_default:d}. cannot be used together ' + f'with --every', + default=res_default) + series_excl_group.add_argument('--every', metavar='n', type=int, + help=f'output a value of the time series ' + f'every n years. cannot be used together ' + f'with --res') + # the subparser for commands + subparsers = parser.add_subparsers(dest='command', required=True) + # parser for the master curve handling + mst_parser = subparsers.add_parser('master', help=f'create a master curve ' + f'for a specific location', + parents=[base_parser, + series_base_parser]) + mst_parser.set_defaults(func=commands.master_curve) + mst_parser.add_argument('lat', type=float, + help=f'the latitude at which to create the master ' + f'curve') + mst_parser.add_argument('lon', type=float, + help=f'the longitude at which to create the ' + f'master curve') + + mst_parser.add_argument('--type', choices=['dif', 'nez'], type=str, + help=f'the type of the resulting field. ' + f'may be either dif for declination, inclination ' + f'and intensity (default) or nez for north-, east ' + f'and down components', + default='dif') + # parser for the dipole moment series + dip_parser = subparsers.add_parser('dipole', help=f'create a time series ' + f'of the dipole moment', + parents=[base_parser, + series_base_parser]) + dip_parser.set_defaults(func=commands.dipole_series) + + # parser for coefficients + cff_parser = subparsers.add_parser('coefficients', help=f'output ' + f'coefficients for a specific epoch', + parents=[base_parser]) + cff_parser.set_defaults(func=commands.coefficients) + cff_parser.add_argument('epoch', type=float, help='the epoch for which ' + 'the coeffients are returned') + + # parser for maps + map_parser = subparsers.add_parser('map', help=f'output a grid of lat-lon-' + f'pairs and field components at the ' + f'locations for a specific epoch. note' + f' that the grid is equidistributed ' + f' over the globe, so it may appear ' + f'unconventional', + parents=[base_parser]) + map_parser.set_defaults(func=commands.maps) + map_parser.add_argument('--type', choices=['dif', 'nez'], type=str, + help=f'the type of the resulting field. ' + f'may be either dif for declination, inclination ' + f'and intensity (default) or nez for north-, east ' + f'and down components', + default='dif') + map_parser.add_argument('epoch', type=float, help='the epoch for which ' + 'the field map is returned') + map_res_default = 500 + map_parser.add_argument('--res', metavar='n', type=int, + help=f'the resolution of the map as an approximate' + f' number of points. default is ' + f'{map_res_default:d}', + default=res_default) + # the model to be used + parser.add_argument('model', type=str, help='a model') + parser.add_argument('-i', '--input', type=str, help=f'input path to a ' + f'model file. may be used to evaluate your own model. ' + f'if given, this path will be used instead over the ' + f'included files') + # parse the command line arguments + args = parser.parse_args() + # check whether model and input are consistent + if args.input is None and args.model in models: + args.input = here + '/dat/' + args.model + if args.input is None and args.model not in models: + raise parser.error(f'Model {args.model} is not include in pycals. ' + f'To process your own model, specify an input file ' + f'using \n' + f' $ pycals --input <path/to/{args.model}> ' + f'... {args.model}') + # call the respective function, specified using .set_defaults(func=...) + args.func(args) + + +if __name__ == '__main__': + # call main() and exit + sys.exit(main()) diff --git a/pymagglobal/commands.py b/pymagglobal/commands.py new file mode 100644 index 0000000..e24a451 --- /dev/null +++ b/pymagglobal/commands.py @@ -0,0 +1,316 @@ +''' + This module contains the commands that are used by the main module of + pymagmodel. + + Copyright (C) 2019 Helmholtz Centre Potsdam GFZ, + German Research Centre for Geosciences, Potsdam, Germany + + Cite as: + TODO + + This file is part of pymagmodel. + + pymagmodel is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + pymagmodel is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with pymagmodel. If not, see <https://www.gnu.org/licenses/>. +''' + +from warnings import warn + +import numpy as np + +from cartopy import crs as ccrs +from matplotlib import pyplot as plt, colors, cm + +from pyfield import i2lm_l, i2lm_m, REARTH + +from . import pymagglobal +from . import utils + + +class OutOfRangeWarning(Warning): + ''' just to give the warning a meaningful name ''' + pass + + +def valid_epoch(args): + ''' check whether the epoch given via the command line is in the range of + the model + + Parameters + ---------- + args : object + the object returned by ArgumentParser.parse_args() + ''' + # get the range of the model from the model file + with open(args.input, 'r') as fh: + t_min, t_max = map(float, fh.readline().split()[0:2]) + + if args.epoch < t_min or t_max < args.epoch: + warn(f'Epoch {args.epoch} is outside of the models range [{t_min}, ' + f'{t_max}]. The result will be extrapolated and not robust.', + category=OutOfRangeWarning) + return False + else: + return True + + +def args2times(args): + ''' read the range of the model and create a linear array to evaluate it. + make use of the command line arguments --every and --res + + Parameters + ---------- + args : object + the object returned by ArgumentParser.parse_args() + ''' + with open(args.input, 'r') as fh: + t_min, t_max = map(float, fh.readline().split()[0:2]) + + if args.every is not None: + times = np.arange(t_min, t_max, args.every) + else: + times = np.linspace(t_min, t_max, args.res) + + return times + + +def master_curve(args): + ''' handle the master command and create a master curve at a given + location. + + Parameters + ---------- + args : object + the object returned by ArgumentParser.parse_args() + ''' + # get an array of times + times = args2times(args) + # get the splines from the input file + splines = pymagglobal.file2splines(args.input) + # create a master curve using the core function + curves = pymagglobal.master_curve(times, (args.lat, args.lon), splines, + ser_type=args.type) + # output formats for dif and nez components + fmts = {'dif': ('%.1f', '%2.6f', '%2.6f', '%1.7e'), + 'nez': ('%.1f', '%1.7e', '%1.7e', '%1.7e')} + + # if an output is specified, save the result to text + if args.output is not None: + np.savetxt(args.output, + np.array([times, + curves[0], + curves[1], + curves[2]]).T, + fmt=fmts[args.type], + delimiter=',', + header=f'Master curves at ({args.lat}°, {args.lon}°) ' + f'for the model {args.model}\n' + f't [yrs.],' + f'{utils.labels[args.type][0]},' + f'{utils.labels[args.type][1]},' + f'{utils.labels[args.type][2]}') + + # if the --no-show flag is not set, plot the master curve + if not args.no_show: + fig = plt.figure(figsize=(10, 7)) + fig.suptitle(f'Master curves at ({args.lat}°, {args.lon}°) ' + f'for the model {args.model}') + axs = np.empty(3, dtype=object) + axs[0] = fig.add_subplot(221) + axs[1] = fig.add_subplot(222) + axs[2] = fig.add_subplot(212) + + for it in range(3): + axs[it].plot(times, curves[it]) + axs[it].set_title(utils.names[args.type][it]) + axs[it].set_xlabel(r'$t$ [yrs.]') + axs[it].set_ylabel(utils.nicelabel(utils.labels[args.type][it])) + fig.tight_layout(rect=[0, 0.03, 1, 0.95]) + plt.show() + + +def dipole_series(args): + ''' handle the dipole command and create a dipole-moment time series for + the given model + + Parameters + ---------- + args : object + the object returned by ArgumentParser.parse_args() + ''' + # get an array of times + times = args2times(args) + # get the splines from the input file + splines = pymagglobal.file2splines(args.input) + # create the dipole-moment time series for the given model + dip_ser = pymagglobal.dipole_series(times, splines) + + # if an output is specified, save the result to text + if args.output is not None: + np.savetxt(args.output, + np.array([times, + dip_ser]).T, + fmt=('%.1f', '%1.7e'), + delimiter=',', + header=f'Dipole moment series for for the model ' + f'{args.model}\n' + f't [yrs.],m [m^2 A]') + + # if the --no-show flag is not set, plot the time series + if not args.no_show: + fig = plt.figure(figsize=(10, 7)) + ax = fig.add_subplot(111) + ax.plot(times, dip_ser) + ax.set_title(f'Dipole moment series for for the model {args.model}') + ax.set_xlabel(r'$t$ [yrs.]') + ax.set_ylabel(r'$m$ [m$^2$ A]') + fig.tight_layout() + plt.show() + + +def coefficients(args): + ''' handle the coefficients command and provide the model coefficients for + a given epoch + + Parameters + ---------- + args : object + the object returned by ArgumentParser.parse_args() + ''' + # check whether the epoch is in the range of the model + valid_epoch(args) + # get the splines from the input file + splines = pymagglobal.file2splines(args.input) + # evaluate the splines at the epoch + coeffs = splines(args.epoch) + # set up degrees and orders for output purposes + ls = [i2lm_l(it) for it in range(splines.c.shape[1])] + ms = [i2lm_m(it) for it in range(splines.c.shape[1])] + + # if an output is specified, save the result to text + if args.output is not None: + np.savetxt(args.output, + np.array([ls, ms, coeffs]).T, + fmt=('%.d', '%d', '%1.7e'), + delimiter=',', + header=f'Coefficients for the model {args.model} at epoch ' + f'{args.epoch}\n' + f'l,m,g_l^m') + # if no output is given and the --no-show flag is not set, print the + # coefficients to the command line + elif not args.no_show: + print(f'Coefficients for the model {args.model} at epoch ' + f'{args.epoch}') + right = len(str(ms[-1])) + print(f'l\t' + ' '*(right-1) + 'm\t g_l^m') + for l, m, g in zip(ls, ms, coeffs): + print(f'{l:d}\t{m:>{right}d}\t{g:>11.4e}') + + +def maps(args): + ''' handle the map command and create field map of the model for a given + epoch + + Parameters + ---------- + args : object + the object returned by ArgumentParser.parse_args() + ''' + # check whether the epoch is in the range of the model + valid_epoch(args) + # set up a grid of equidistant points on the sphere + tps = utils.equi_sph(args.res) + # set upt the points as expected by pyfield + z_at = np.empty((4, tps.shape[1]), order='F') + z_at[0] = np.rad2deg(tps[0]) + # BUGFIX: white edges in cartopy + z_at[1] = np.rad2deg(tps[1]) - 180 + z_at[2] = REARTH + z_at[3] = args.epoch + # get the splines from the input file + splines = pymagglobal.file2splines(args.input) + # use the core function to get the field + field = pymagglobal.splines2field(z_at, splines) + # convert the field if necessary + if args.type == 'dif': + field = np.array(utils.nez2dif(*field)) + # output formats for dif and nez components + fmts = {'dif': ('%.1f', '%.1f', '%2.6f', '%2.6f', '%1.7e'), + 'nez': ('%.1f', '%.1f', '%1.7e', '%1.7e', '%1.7e')} + + # if an output is specified, save the result to text + if args.output is not None: + np.savetxt(args.output, + np.array([z_at[0], + z_at[1], + field[0], + field[1], + field[2]]).T, + fmt=fmts[args.type], + delimiter=',', + header=f'Field map for the model {args.model} at epoch ' + f'{args.epoch}\n' + f'lat,lon,' + f'{utils.labels[args.type][0]},' + f'{utils.labels[args.type][1]},' + f'{utils.labels[args.type][2]}') + + + # if the --no-show flag is not set, plot the map using cartopy + if not args.no_show: + vmaxs = np.max(np.abs(field), axis=1) + vmins = -vmaxs + cmaps = ['RdBu', 'RdBu', 'RdBu'] + units = [r'$\mu$T', r'$\mu$T', r'$\mu$T'] + if args.type == 'dif': + field[2] /= 1000 + vmaxs[2] /= 1000 + vmins[2] = 0 + cmaps[2] = 'Blues' + units[0] = r'deg.' + units[1] = r'deg.' + else: + vmaxs /= 1000 + vmins /= 1000 + field /= 1000 + + cbar_hght = 0.06 + proj = ccrs.Mollweide() + plt_lat, plt_lon, _ = proj.transform_points(ccrs.Geodetic(), + z_at[1], + 90 - z_at[0]).T + + fig, axs = plt.subplots(1, 3, figsize=(13, 3), + subplot_kw={'projection': proj}) + fig.suptitle(f'Field maps for the model {args.model} at epoch ' + f'{args.epoch}') + + for it in range(3): + axs[it].tripcolor(plt_lat, plt_lon, field[it], + vmin=vmins[it], vmax=vmaxs[it], + rasterized=True, cmap=cmaps[it]) + axs[it].coastlines(alpha=0.8, lw=0.5) + axs[it].set_global() + axs[it].set_title(f'{utils.names[args.type][it]} [{units[it]}]') + bnds = axs[it].get_position().bounds + # colorbar for the mean + colax = fig.add_axes([bnds[0], + bnds[1]-0.1-cbar_hght, + bnds[2], + cbar_hght]) + norm = colors.Normalize(vmin=vmins[it], + vmax=vmaxs[it]) + fig.colorbar(cm.ScalarMappable(norm=norm, cmap=cmaps[it]), + cax=colax, + orientation='horizontal') + plt.show() diff --git a/pymagglobal/dat/ARCH10k.1 b/pymagglobal/dat/ARCH10k.1 new file mode 100644 index 0000000..1570752 --- /dev/null +++ b/pymagglobal/dat/ARCH10k.1 @@ -0,0 +1,4 @@ +-10010.0 1990.0 4 lambda= 0.7D-13 tau= 0.5D-01 gufmend= 0.1D+03 dipole 0.0D+00 + 10 0 303 +-10130.000000000000 -10090.000000000000 -10050.000000000000 -10010.000000000000 -9970.0000000000000 -9930.0000000000000 -9890.0000000000000 -9850.0000000000000 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This is the core module of pymagmodel. It contains the function + file2splines, which creates a BSpline object from a coefficient file and + funtions that evaluate such an object to calculate different quantities of + interest. See the README file in the repository for further information. + + Copyright (C) 2019 Helmholtz Centre Potsdam GFZ, + German Research Centre for Geosciences, Potsdam, Germany + + Cite as: + TODO + + This file is part of pymagmodel. + + pymagmodel is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + pymagmodel is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with pymagmodel. If not, see <https://www.gnu.org/licenses/>. +''' + +import numpy as np +from scipy.interpolate import BSpline + +from pyfield import CRUSpline as Kernel, REARTH, i2lm_l, lmax2N + +from .utils import nez2dif + + +def master_curve(times, loc, splines, ser_type='dif'): + ''' create master curves from a splines object + + Parameters + ---------- + times : array-like + the times for which to create the master curve + loc : tuple + lat, lon tuple of the location at which to create the master curve + splines : scipy.interpolate.BSpline + the splines specifying the model + ser_type : {'dif', 'nez'} + the type of the master curves. may be either 'dif' (default) for + declination, inclination and intensity or 'nez' for north, east, down + + Returns + ------- + tuple + a tuple of 3 master curves + ''' + + try: + n_plt = len(times) + except TypeError: + n_plt = 1 + # set up master curve points as expected by pyfield + z_mst = np.zeros((4, n_plt), order='F') + z_mst[0] = 90 - loc[0] + z_mst[1] = loc[1] + z_mst[2] = REARTH + z_mst[3] = times + # the master curves are just field values at a constant location + mst_cv = splines2field(z_mst, splines) + + if ser_type == 'dif': + return nez2dif(*mst_cv) + elif ser_type == 'nez': + return mst_cv[0], mst_cv[1], mst_cv[2] + else: + raise ValueError(f"{ser_type} is not a valid series type. 'dif' and " + f"'nez' are supported.") + + +def dipole_series(times, splines): + ''' create a dipole-moment time series from a splines object + + Parameters + ---------- + times : array-like + the times for which to create the master curve + splines : scipy.interpolate.BSpline + the splines specifying the model + + Returns + ------- + array + an array containing the dipole-moment time series + ''' + # evaluate the splines + coeffs = splines(times).T + # calculate the dipole moment + dip_ser = np.sqrt(coeffs[0]**2 + coeffs[1]**2 + + coeffs[2]**2) + # get the units to 1e22 [m^2 A] + dip_ser *= 0.63712**3/1000 + + return dip_ser + + +def file2splines(fname): + ''' read one of those weird coefficient files and return a + scipy.interpolate.BSpline object representing the model + ''' + with open(fname, 'r') as fh: + # skip the first line + fh.readline() + # read the rest as a long string + input_string = ' '.join(fh.readlines()) + # create an array from the string + input_array = np.fromstring(input_string, dtype=float, sep=' ') + # get the relevant quantities from the array + l_max, _, n_spl = map(int, input_array[:3]) + knots = input_array[3:n_spl+4+3] + coeffs = input_array[n_spl+4+3:] + coeffs = coeffs.reshape(n_spl, lmax2N(l_max)) + # initialize the BSpline object + c_splines = BSpline(knots, coeffs, 3) + + return c_splines + + +def splines2field(z_at, splines): + ''' evaluate coefficient splines at locations z_at and return the field in + north, east, down components + + Parameters + ---------- + z_at : array-like of shape (4, n) in fortran order + the locations at which to evaluate the splines. should be as expected + by pyfield, i.e. + z_at[0] contains co-latitudes in degrees + z_at[1] contains longitudes in degrees + z_at[2] contains radii in km + z_at[3] contains dates in years + splines : scipy.interpolate.BSpline + the splines specifying the model + + Returns + ------- + array of shape (3, n) + an array containing the north, east and down component at the input + locations + ''' + # count the number of inputs + n_pts = z_at.shape[1] + # count the number of coefficients + n_coeffs = splines.c.shape[1] + # get the maximal degree from the number of coefficients + l_max = i2lm_l(n_coeffs-1) + # set up the pyfield kernel for evaluation + K = Kernel(REARTH) + # set up the array of spatial basis functions + spatial = np.empty((n_coeffs, 3*n_pts), order='F') + # evaluate the basis functions using the pyfield kernel + K.gaussField(l_max, z_at, spatial) + spatial = spatial.reshape(n_coeffs, n_pts, 3) + # evaluate the model at the specified times + coeffs = splines(z_at[3]).T + # calculate the field as a dot product between coefficients and basis + field = np.einsum('ij, ijk -> jk', + coeffs, + spatial) + + return field.T diff --git a/pymagglobal/utils.py b/pymagglobal/utils.py new file mode 100644 index 0000000..c14222f --- /dev/null +++ b/pymagglobal/utils.py @@ -0,0 +1,73 @@ +''' + This module contains utilility routines for pymagmodel. + + Copyright (C) 2019 Helmholtz Centre Potsdam GFZ, + German Research Centre for Geosciences, Potsdam, Germany + + Cite as: + TODO + + This file is part of pymagmodel. + + pymagmodel is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + pymagmodel is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with pymagmodel. If not, see <https://www.gnu.org/licenses/>. +''' + +import numpy as np + +# some names and labels that are used multiple times +names = {'dif': ['Declination', 'Inclination', 'Intensity'], + 'nez': ['North', 'East', 'Down']} + +labels = {'dif': [r'D [deg.]', r'I [deg.]', r'F [nT]'], + 'nez': [r'N [nT]', r'E [nT]', r'Z [nT]']} + + +def nicelabel(label): + ''' transform a label to a latex-like italic one ''' + parts = label.split() + return fr'${parts[0]}$ {parts[1]}' + + +def nez2dif(n, e, z): + ''' transform north, east, down field components to declination, + inclination and intensity + ''' + return np.rad2deg(np.arctan2(e, n)), \ + np.rad2deg(np.arctan2(z, np.sqrt(n**2 + e**2))), \ + np.sqrt(n**2 + e**2 + z**2) + + +def equi_sph(n, twopi=True): + ''' Regularly place points on the surface of the unit sphere. the number of + output points may differ from n + + References + ---------- + [1] M. Deserno, "How to generate equidistributed points on the surface of a + sphere", Max-Planck-Institut für Polymerforschung, 2004. + ''' + a = 4*np.pi/n + d = np.sqrt(a) + m_t = int(round(np.pi/d)) + d_t = np.pi/m_t + d_p = a/d_t + ts = [] + ps = [] + for m in range(m_t): + t = np.pi*(m+0.5)/m_t + m_p = int(round(2*np.pi*np.sin(t)/d_p)) + for n in range(m_p + 1 if twopi else m_p): + ts.append(t) + ps.append(2*np.pi*n/m_p) + return np.array([ts, ps], dtype=float) diff --git a/setup.py b/setup.py new file mode 100644 index 0000000..2c1071b --- /dev/null +++ b/setup.py @@ -0,0 +1,60 @@ +''' + This is the install file for pymagmodel. + + Copyright (C) 2019 Helmholtz Centre Potsdam GFZ, + German Research Centre for Geosciences, Potsdam, Germany + + Cite as: + TODO + + This file is part of pymagmodel. + + pymagmodel is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + pymagmodel is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with pymagmodel. If not, see <https://www.gnu.org/licenses/>. +''' + +import os +import codecs +from setuptools import setup + + +# https://packaging.python.org/guides/single-sourcing-package-version/ +def read(rel_path): + here = os.path.abspath(os.path.dirname(__file__)) + with codecs.open(os.path.join(here, rel_path), 'r') as fp: + return fp.read() + + +def get_version(rel_path): + for line in read(rel_path).splitlines(): + if line.startswith('__version__'): + delim = '"' if '"' in line else "'" + return line.split(delim)[1] + else: + raise RuntimeError("Unable to find version string.") + +description = ''' python interface for global geomagnetic field models ''' + +setup( + name='pymagglobal', + version=get_version('pymagglobal/__init__.py'), + author='Maximilian Schanner', + author_email='arthus@gfz-potsdam.de', + packages=['pymagglobal'], + license='GPL v3', + description=description, + long_description=description, + install_requires=[], + package_data={'pymagglobal': ['dat/*']}, + include_package_data=True, +) -- GitLab