diff --git a/FieldTools/meta.yaml b/FieldTools/meta.yaml
new file mode 100644
index 0000000000000000000000000000000000000000..a4344f992b43ed8e5fc2cc9eb1153f66a6c02c56
--- /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 0000000000000000000000000000000000000000..f288702d2fa16d3cdf0035b15a9fcbc552cd88e7
--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,674 @@
+ GNU GENERAL PUBLIC LICENSE
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+ THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
+APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
+HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
+OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
+THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
+IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
+ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
+
+ 16. Limitation of Liability.
+
+ IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+ 17. Interpretation of Sections 15 and 16.
+
+ If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. 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 0000000000000000000000000000000000000000..23f09af0bd2fe934bab85a73072991ee7b176e9c
--- /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 0000000000000000000000000000000000000000..7a06f39a166829ee70660fdae7811c471abbd58b
--- /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 0000000000000000000000000000000000000000..863f4b312bdb5adfb9d13ece8e49e45d9597ece9
--- /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 0000000000000000000000000000000000000000..12c871910f7993a4cd8fc30d2ff3cbcc64964644
--- /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 0000000000000000000000000000000000000000..e24a451301ed5b97d86c7bf7f5d4c44352fac0a5
--- /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 0000000000000000000000000000000000000000..1570752ef4f42699667b4f09072fef2fdbca8df6
--- /dev/null
+++ b/pymagglobal/dat/ARCH10k.1
@@ -0,0 +1,4 @@
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diff --git a/pymagglobal/dat/gufm1 b/pymagglobal/dat/gufm1
new file mode 100644
index 0000000000000000000000000000000000000000..ff898addfea89c06f99096b3e343382ba45286ad
--- /dev/null
+++ b/pymagglobal/dat/gufm1
@@ -0,0 +1,9172 @@
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+ -0.852770989458E+00 -0.979623166324E+00 -0.229649612412E+01 0.993368117418E+00
+ -0.270905643405E+01 0.403721653649E+01 0.143998194505E+00 -0.927641181645E+00
+ -0.223032414748E+00 0.822980877771E-01 -0.521623605120E+00 0.700079873608E+00
+ 0.228005122461E+00 0.182137108592E+01 0.531379981943E+00 -0.109835249603E+01
+ -0.250511181298E-01 -0.319311012859E-01 -0.438001332326E+00 0.174596137803E+00
+ -0.948550279402E+00 -0.429141424337E+00 -0.536126091487E-01 -0.812220042941E-01
+ 0.292674194346E+00 0.488317366764E+00 0.584405540200E+00 -0.119714033711E+01
+ -0.190405093579E-01 0.138118546721E+00 0.561588498108E-01 0.790865399276E+00
+ 0.188938955597E+00 -0.181365093376E+00 -0.205754381986E+00 0.919730141206E-01
+ 0.153005616253E+00 -0.238556455206E+00 0.340311596730E+00 -0.115446322018E+00
+ 0.118102759107E+00 0.214634677494E+00 -0.153457933620E+00 -0.209347917300E+00
+ -0.228988820262E+00 -0.957597896361E-02 -0.435652486692E-03 -0.144492597355E+00
+ 0.234732992986E-01 0.752122154649E-01 0.299968785226E+00 -0.745012919886E-01
+ 0.242612654595E+00 0.364042531882E+00 0.510321018716E+00 0.381834105974E-01
+ -0.143698333283E+00 0.542373283611E-01 -0.805327386372E-01 0.350445694496E-01
+ 0.105893703044E-02 0.738444642578E-01 -0.414864545149E-01 -0.117652114325E+00
+ -0.624423068594E-01 -0.426795648720E-01 -0.695619929297E-01 0.510502485963E-01
+ 0.117815625987E+00 -0.536034382251E-01 -0.312241674353E-01 0.653729937571E-01
+ 0.296129130013E-01 0.592431904915E-02 0.215275917425E-02 0.675394127565E-01
+ 0.144934824767E-01 0.332198881427E-01 0.132962220745E-01 0.108529835177E-01
+ -0.297066503178E-01 0.643663753327E-02 -0.944258068756E-01 0.442804691018E-01
+ 0.125152392222E-01 0.103135505361E+00 0.264412119713E-02 0.513615752270E-01
diff --git a/pymagglobal/pymagglobal.py b/pymagglobal/pymagglobal.py
new file mode 100644
index 0000000000000000000000000000000000000000..14619f0d2007888b9ccce7dea3388c6399080ded
--- /dev/null
+++ b/pymagglobal/pymagglobal.py
@@ -0,0 +1,170 @@
+'''
+ 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 0000000000000000000000000000000000000000..c14222fc4a7efa440bb3daecfc0482322ee8c9be
--- /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 0000000000000000000000000000000000000000..2c1071b8e42d56d316ea7fcbf7c75f4ce52e5bab
--- /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,
+)