pyerrors.input.json

import json
import gzip
import numpy as np
import getpass
import socket
import datetime
import platform
import warnings
from ..obs import Obs
from ..covobs import Covobs
from ..correlators import Corr
from ..misc import _assert_equal_properties
from .. import version as pyerrorsversion


def create_json_string(ol, description='', indent=1):
    """Generate the string for the export of a list of Obs or structures containing Obs
    to a .json(.gz) file

    Parameters
    ----------
    ol : list
        List of objects that will be exported. At the moments, these objects can be
        either of: Obs, list, numpy.ndarray, Corr.
        All Obs inside a structure have to be defined on the same set of configurations.
    description : str
        Optional string that describes the contents of the json file.
    indent : int
        Specify the indentation level of the json file. None or 0 is permissible and
        saves disk space.
    """

    def _default(self, obj):
        return str(obj)
    my_encoder = json.JSONEncoder
    _default.default = json.JSONEncoder().default
    my_encoder.default = _default

    class Deltalist:
        def __init__(self, li):
            self.cnfg = li[0]
            self.deltas = li[1:]

        def __repr__(self):
            s = '[%d' % (self.cnfg)
            for d in self.deltas:
                s += ', %1.15e' % (d)
            s += ']'
            return s

        def __str__(self):
            return self.__repr__()

    class Floatlist:
        def __init__(self, li):
            self.li = list(li)

        def __repr__(self):
            s = '['
            for i in range(len(self.li)):
                if i > 0:
                    s += ', '
                s += '%1.15e' % (self.li[i])
            s += ']'
            return s

        def __str__(self):
            return self.__repr__()

    def _gen_data_d_from_list(ol):
        dl = []
        for name in ol[0].mc_names:
            ed = {}
            ed['id'] = name
            ed['replica'] = []
            for r_name in ol[0].e_content[name]:
                rd = {}
                rd['name'] = r_name
                if ol[0].is_merged.get(r_name, False):
                    rd['is_merged'] = True
                rd['deltas'] = []
                for i in range(len(ol[0].idl[r_name])):
                    rd['deltas'].append([ol[0].idl[r_name][i]])
                    for o in ol:
                        rd['deltas'][-1].append(o.deltas[r_name][i])
                    rd['deltas'][-1] = Deltalist(rd['deltas'][-1])
                ed['replica'].append(rd)
            dl.append(ed)
        return dl

    def _gen_cdata_d_from_list(ol):
        dl = []
        for name in ol[0].cov_names:
            ed = {}
            ed['id'] = name
            ed['layout'] = str(ol[0].covobs[name].cov.shape).lstrip('(').rstrip(')').rstrip(',')
            ed['cov'] = Floatlist(np.ravel(ol[0].covobs[name].cov))
            ncov = ol[0].covobs[name].cov.shape[0]
            ed['grad'] = []
            for i in range(ncov):
                ed['grad'].append([])
                for o in ol:
                    ed['grad'][-1].append(o.covobs[name].grad[i][0])
                ed['grad'][-1] = Floatlist(ed['grad'][-1])
            dl.append(ed)
        return dl

    def write_Obs_to_dict(o):
        d = {}
        d['type'] = 'Obs'
        d['layout'] = '1'
        if o.tag:
            d['tag'] = [o.tag]
        if o.reweighted:
            d['reweighted'] = o.reweighted
        d['value'] = [o.value]
        data = _gen_data_d_from_list([o])
        if len(data) > 0:
            d['data'] = data
        cdata = _gen_cdata_d_from_list([o])
        if len(cdata) > 0:
            d['cdata'] = cdata
        return d

    def write_List_to_dict(ol):
        _assert_equal_properties(ol)
        d = {}
        d['type'] = 'List'
        d['layout'] = '%d' % len(ol)
        taglist = [o.tag for o in ol]
        if np.any([tag is not None for tag in taglist]):
            d['tag'] = taglist
        if ol[0].reweighted:
            d['reweighted'] = ol[0].reweighted
        d['value'] = [o.value for o in ol]
        data = _gen_data_d_from_list(ol)
        if len(data) > 0:
            d['data'] = data
        cdata = _gen_cdata_d_from_list(ol)
        if len(cdata) > 0:
            d['cdata'] = cdata
        return d

    def write_Array_to_dict(oa):
        ol = np.ravel(oa)
        _assert_equal_properties(ol)
        d = {}
        d['type'] = 'Array'
        d['layout'] = str(oa.shape).lstrip('(').rstrip(')').rstrip(',')
        taglist = [o.tag for o in ol]
        if np.any([tag is not None for tag in taglist]):
            d['tag'] = taglist
        if ol[0].reweighted:
            d['reweighted'] = ol[0].reweighted
        d['value'] = [o.value for o in ol]
        data = _gen_data_d_from_list(ol)
        if len(data) > 0:
            d['data'] = data
        cdata = _gen_cdata_d_from_list(ol)
        if len(cdata) > 0:
            d['cdata'] = cdata
        return d

    def write_Corr_to_dict(my_corr):
        front_padding = next(i for i, j in enumerate(my_corr.content) if np.all(j))
        back_padding_start = front_padding + next((i for i, j in enumerate(my_corr.content[front_padding:]) if not np.all(j)), my_corr.T)
        dat = write_Array_to_dict(np.array(my_corr.content[front_padding:back_padding_start]))
        dat['type'] = 'Corr'
        corr_meta_data = str(front_padding) + '|' + str(my_corr.T - back_padding_start) + '|' + str(my_corr.tag)
        if 'tag' in dat.keys():
            dat['tag'].append(corr_meta_data)
        else:
            dat['tag'] = [corr_meta_data]
        return dat

    if not isinstance(ol, list):
        ol = [ol]

    d = {}
    d['program'] = 'pyerrors %s' % (pyerrorsversion.__version__)
    d['version'] = '0.1'
    d['who'] = getpass.getuser()
    d['date'] = datetime.datetime.now().astimezone().strftime('%Y-%m-%d %H:%M:%S %z')
    d['host'] = socket.gethostname() + ', ' + platform.platform()

    if description:
        d['description'] = description
    d['obsdata'] = []
    for io in ol:
        if isinstance(io, Obs):
            d['obsdata'].append(write_Obs_to_dict(io))
        elif isinstance(io, list):
            d['obsdata'].append(write_List_to_dict(io))
        elif isinstance(io, np.ndarray):
            d['obsdata'].append(write_Array_to_dict(io))
        elif isinstance(io, Corr):
            d['obsdata'].append(write_Corr_to_dict(io))
        else:
            raise Exception("Unkown datatype.")

    jsonstring = json.dumps(d, indent=indent, cls=my_encoder, ensure_ascii=False)

    def remove_quotationmarks(s):
        """Workaround for un-quoting of delta lists, adds 5% of work
           but is save, compared to a simple replace that could destroy the structure
        """
        deltas = False
        split = s.split('\n')
        for i in range(len(split)):
            if '"deltas":' in split[i] or '"cov":' in split[i] or '"grad":' in split[i]:
                deltas = True
            if deltas:
                split[i] = split[i].replace('"[', '[').replace(']"', ']')
                if split[i][-1] == ']':
                    deltas = False
        return '\n'.join(split)

    jsonstring = remove_quotationmarks(jsonstring)
    return jsonstring


def dump_to_json(ol, fname, description='', indent=1, gz=True):
    """Export a list of Obs or structures containing Obs to a .json(.gz) file

    Parameters
    ----------
    ol : list
        List of objects that will be exported. At the moments, these objects can be
        either of: Obs, list, numpy.ndarray, Corr.
        All Obs inside a structure have to be defined on the same set of configurations.
    fname : str
        Filename of the output file.
    description : str
        Optional string that describes the contents of the json file.
    indent : int
        Specify the indentation level of the json file. None or 0 is permissible and
        saves disk space.
    gz : bool
        If True, the output is a gzipped json. If False, the output is a json file.
    """

    jsonstring = create_json_string(ol, description, indent)

    if not fname.endswith('.json') and not fname.endswith('.gz'):
        fname += '.json'

    if gz:
        if not fname.endswith('.gz'):
            fname += '.gz'

        fp = gzip.open(fname, 'wb')
        fp.write(jsonstring.encode('utf-8'))
    else:
        fp = open(fname, 'w', encoding='utf-8')
        fp.write(jsonstring)
    fp.close()


def import_json_string(json_string, verbose=True, full_output=False):
    """Reconstruct a list of Obs or structures containing Obs from a json string.

    The following structures are supported: Obs, list, numpy.ndarray, Corr
    If the list contains only one element, it is unpacked from the list.

    Parameters
    ----------
    json_string : str
        json string containing the data.
    verbose : bool
        Print additional information that was written to the file.
    full_output : bool
        If True, a dict containing auxiliary information and the data is returned.
        If False, only the data is returned.
    """

    def _gen_obsd_from_datad(d):
        retd = {}
        if d:
            retd['names'] = []
            retd['idl'] = []
            retd['deltas'] = []
            retd['is_merged'] = {}
            for ens in d:
                for rep in ens['replica']:
                    retd['names'].append(rep['name'])
                    retd['idl'].append([di[0] for di in rep['deltas']])
                    retd['deltas'].append(np.array([di[1:] for di in rep['deltas']]))
                    retd['is_merged'][rep['name']] = rep.get('is_merged', False)
        return retd

    def _gen_covobsd_from_cdatad(d):
        retd = {}
        for ens in d:
            retl = []
            name = ens['id']
            layouts = ens.get('layout', '1').strip()
            layout = [int(ls.strip()) for ls in layouts.split(',') if len(ls) > 0]
            cov = np.reshape(ens['cov'], layout)
            grad = ens['grad']
            nobs = len(grad[0])
            for i in range(nobs):
                retl.append({'name': name, 'cov': cov, 'grad': [g[i] for g in grad]})
            retd[name] = retl
        return retd

    def get_Obs_from_dict(o):
        layouts = o.get('layout', '1').strip()
        if layouts != '1':
            raise Exception("layout is %s has to be 1 for type Obs." % (layouts), RuntimeWarning)

        values = o['value']
        od = _gen_obsd_from_datad(o.get('data', {}))
        cd = _gen_covobsd_from_cdatad(o.get('cdata', {}))

        if od:
            ret = Obs([[ddi[0] + values[0] for ddi in di] for di in od['deltas']], od['names'], idl=od['idl'])
            ret.is_merged = od['is_merged']
        else:
            ret = Obs([], [])
            ret._value = values[0]
        for name in cd:
            co = cd[name][0]
            ret._covobs[name] = Covobs(None, co['cov'], co['name'], grad=co['grad'])
            ret.names.append(co['name'])

        ret.reweighted = o.get('reweighted', False)
        ret.tag = o.get('tag', [None])[0]
        return ret

    def get_List_from_dict(o):
        layouts = o.get('layout', '1').strip()
        layout = int(layouts)
        values = o['value']
        od = _gen_obsd_from_datad(o.get('data', {}))
        cd = _gen_covobsd_from_cdatad(o.get('cdata', {}))

        ret = []
        taglist = o.get('tag', layout * [None])
        for i in range(layout):
            if od:
                ret.append(Obs([list(di[:, i] + values[i]) for di in od['deltas']], od['names'], idl=od['idl']))
                ret[-1].is_merged = od['is_merged']
            else:
                ret.append(Obs([], []))
                ret[-1]._value = values[i]
                print('Created Obs with means= ', values[i])
            for name in cd:
                co = cd[name][i]
                ret[-1]._covobs[name] = Covobs(None, co['cov'], co['name'], grad=co['grad'])
                ret[-1].names.append(co['name'])

            ret[-1].reweighted = o.get('reweighted', False)
            ret[-1].tag = taglist[i]
        return ret

    def get_Array_from_dict(o):
        layouts = o.get('layout', '1').strip()
        layout = [int(ls.strip()) for ls in layouts.split(',') if len(ls) > 0]
        N = np.prod(layout)
        values = o['value']
        od = _gen_obsd_from_datad(o.get('data', {}))
        cd = _gen_covobsd_from_cdatad(o.get('cdata', {}))

        ret = []
        taglist = o.get('tag', N * [None])
        for i in range(N):
            if od:
                ret.append(Obs([di[:, i] + values[i] for di in od['deltas']], od['names'], idl=od['idl']))
                ret[-1].is_merged = od['is_merged']
            else:
                ret.append(Obs([], []))
                ret[-1]._value = values[i]
            for name in cd:
                co = cd[name][i]
                ret[-1]._covobs[name] = Covobs(None, co['cov'], co['name'], grad=co['grad'])
                ret[-1].names.append(co['name'])
            ret[-1].reweighted = o.get('reweighted', False)
            ret[-1].tag = taglist[i]
        return np.reshape(ret, layout)

    def get_Corr_from_dict(o):
        taglist = o.get('tag')
        corr_meta_data = taglist[-1].split('|')
        padding_front = int(corr_meta_data[0])
        padding_back = int(corr_meta_data[1])
        corr_tag = corr_meta_data[2]
        tmp_o = o
        tmp_o['tag'] = taglist[:-1]
        if len(tmp_o['tag']) == 0:
            del tmp_o['tag']
        dat = get_Array_from_dict(tmp_o)
        my_corr = Corr(list(dat), padding=[padding_front, padding_back])
        if corr_tag != 'None':
            my_corr.tag = corr_tag
        return my_corr

    json_dict = json.loads(json_string)

    prog = json_dict.get('program', '')
    version = json_dict.get('version', '')
    who = json_dict.get('who', '')
    date = json_dict.get('date', '')
    host = json_dict.get('host', '')
    if prog and verbose:
        print('Data has been written using %s.' % (prog))
    if version and verbose:
        print('Format version %s' % (version))
    if np.any([who, date, host] and verbose):
        print('Written by %s on %s on host %s' % (who, date, host))
    description = json_dict.get('description', '')
    if description and verbose:
        print()
        print('Description: ', description)
    obsdata = json_dict['obsdata']
    ol = []
    for io in obsdata:
        if io['type'] == 'Obs':
            ol.append(get_Obs_from_dict(io))
        elif io['type'] == 'List':
            ol.append(get_List_from_dict(io))
        elif io['type'] == 'Array':
            ol.append(get_Array_from_dict(io))
        elif io['type'] == 'Corr':
            ol.append(get_Corr_from_dict(io))
        else:
            raise Exception("Unkown datatype.")

    if full_output:
        retd = {}
        retd['program'] = prog
        retd['version'] = version
        retd['who'] = who
        retd['date'] = date
        retd['host'] = host
        retd['description'] = description
        retd['obsdata'] = ol

        return retd
    else:
        if len(obsdata) == 1:
            ol = ol[0]

        return ol


def load_json(fname, verbose=True, gz=True, full_output=False):
    """Import a list of Obs or structures containing Obs from a .json.gz file.

    The following structures are supported: Obs, list, numpy.ndarray, Corr
    If the list contains only one element, it is unpacked from the list.

    Parameters
    ----------
    fname : str
        Filename of the input file.
    verbose : bool
        Print additional information that was written to the file.
    gz : bool
        If True, assumes that data is gzipped. If False, assumes JSON file.
    full_output : bool
        If True, a dict containing auxiliary information and the data is returned.
        If False, only the data is returned.
    """
    if not fname.endswith('.json') and not fname.endswith('.gz'):
        fname += '.json'
    if gz:
        if not fname.endswith('.gz'):
            fname += '.gz'
        with gzip.open(fname, 'r') as fin:
            d = fin.read().decode('utf-8')
    else:
        if fname.endswith('.gz'):
            warnings.warn("Trying to read from %s without unzipping!" % fname, UserWarning)
        with open(fname, 'r', encoding='utf-8') as fin:
            d = fin.read()

    return import_json_string(d, verbose, full_output)

def create_json_string(ol, description='', indent=1):
    """Generate the string for the export of a list of Obs or structures containing Obs
    to a .json(.gz) file

    Parameters
    ----------
    ol : list
        List of objects that will be exported. At the moments, these objects can be
        either of: Obs, list, numpy.ndarray, Corr.
        All Obs inside a structure have to be defined on the same set of configurations.
    description : str
        Optional string that describes the contents of the json file.
    indent : int
        Specify the indentation level of the json file. None or 0 is permissible and
        saves disk space.
    """

    def _default(self, obj):
        return str(obj)
    my_encoder = json.JSONEncoder
    _default.default = json.JSONEncoder().default
    my_encoder.default = _default

    class Deltalist:
        def __init__(self, li):
            self.cnfg = li[0]
            self.deltas = li[1:]

        def __repr__(self):
            s = '[%d' % (self.cnfg)
            for d in self.deltas:
                s += ', %1.15e' % (d)
            s += ']'
            return s

        def __str__(self):
            return self.__repr__()

    class Floatlist:
        def __init__(self, li):
            self.li = list(li)

        def __repr__(self):
            s = '['
            for i in range(len(self.li)):
                if i > 0:
                    s += ', '
                s += '%1.15e' % (self.li[i])
            s += ']'
            return s

        def __str__(self):
            return self.__repr__()

    def _gen_data_d_from_list(ol):
        dl = []
        for name in ol[0].mc_names:
            ed = {}
            ed['id'] = name
            ed['replica'] = []
            for r_name in ol[0].e_content[name]:
                rd = {}
                rd['name'] = r_name
                if ol[0].is_merged.get(r_name, False):
                    rd['is_merged'] = True
                rd['deltas'] = []
                for i in range(len(ol[0].idl[r_name])):
                    rd['deltas'].append([ol[0].idl[r_name][i]])
                    for o in ol:
                        rd['deltas'][-1].append(o.deltas[r_name][i])
                    rd['deltas'][-1] = Deltalist(rd['deltas'][-1])
                ed['replica'].append(rd)
            dl.append(ed)
        return dl

    def _gen_cdata_d_from_list(ol):
        dl = []
        for name in ol[0].cov_names:
            ed = {}
            ed['id'] = name
            ed['layout'] = str(ol[0].covobs[name].cov.shape).lstrip('(').rstrip(')').rstrip(',')
            ed['cov'] = Floatlist(np.ravel(ol[0].covobs[name].cov))
            ncov = ol[0].covobs[name].cov.shape[0]
            ed['grad'] = []
            for i in range(ncov):
                ed['grad'].append([])
                for o in ol:
                    ed['grad'][-1].append(o.covobs[name].grad[i][0])
                ed['grad'][-1] = Floatlist(ed['grad'][-1])
            dl.append(ed)
        return dl

    def write_Obs_to_dict(o):
        d = {}
        d['type'] = 'Obs'
        d['layout'] = '1'
        if o.tag:
            d['tag'] = [o.tag]
        if o.reweighted:
            d['reweighted'] = o.reweighted
        d['value'] = [o.value]
        data = _gen_data_d_from_list([o])
        if len(data) > 0:
            d['data'] = data
        cdata = _gen_cdata_d_from_list([o])
        if len(cdata) > 0:
            d['cdata'] = cdata
        return d

    def write_List_to_dict(ol):
        _assert_equal_properties(ol)
        d = {}
        d['type'] = 'List'
        d['layout'] = '%d' % len(ol)
        taglist = [o.tag for o in ol]
        if np.any([tag is not None for tag in taglist]):
            d['tag'] = taglist
        if ol[0].reweighted:
            d['reweighted'] = ol[0].reweighted
        d['value'] = [o.value for o in ol]
        data = _gen_data_d_from_list(ol)
        if len(data) > 0:
            d['data'] = data
        cdata = _gen_cdata_d_from_list(ol)
        if len(cdata) > 0:
            d['cdata'] = cdata
        return d

    def write_Array_to_dict(oa):
        ol = np.ravel(oa)
        _assert_equal_properties(ol)
        d = {}
        d['type'] = 'Array'
        d['layout'] = str(oa.shape).lstrip('(').rstrip(')').rstrip(',')
        taglist = [o.tag for o in ol]
        if np.any([tag is not None for tag in taglist]):
            d['tag'] = taglist
        if ol[0].reweighted:
            d['reweighted'] = ol[0].reweighted
        d['value'] = [o.value for o in ol]
        data = _gen_data_d_from_list(ol)
        if len(data) > 0:
            d['data'] = data
        cdata = _gen_cdata_d_from_list(ol)
        if len(cdata) > 0:
            d['cdata'] = cdata
        return d

    def write_Corr_to_dict(my_corr):
        front_padding = next(i for i, j in enumerate(my_corr.content) if np.all(j))
        back_padding_start = front_padding + next((i for i, j in enumerate(my_corr.content[front_padding:]) if not np.all(j)), my_corr.T)
        dat = write_Array_to_dict(np.array(my_corr.content[front_padding:back_padding_start]))
        dat['type'] = 'Corr'
        corr_meta_data = str(front_padding) + '|' + str(my_corr.T - back_padding_start) + '|' + str(my_corr.tag)
        if 'tag' in dat.keys():
            dat['tag'].append(corr_meta_data)
        else:
            dat['tag'] = [corr_meta_data]
        return dat

    if not isinstance(ol, list):
        ol = [ol]

    d = {}
    d['program'] = 'pyerrors %s' % (pyerrorsversion.__version__)
    d['version'] = '0.1'
    d['who'] = getpass.getuser()
    d['date'] = datetime.datetime.now().astimezone().strftime('%Y-%m-%d %H:%M:%S %z')
    d['host'] = socket.gethostname() + ', ' + platform.platform()

    if description:
        d['description'] = description
    d['obsdata'] = []
    for io in ol:
        if isinstance(io, Obs):
            d['obsdata'].append(write_Obs_to_dict(io))
        elif isinstance(io, list):
            d['obsdata'].append(write_List_to_dict(io))
        elif isinstance(io, np.ndarray):
            d['obsdata'].append(write_Array_to_dict(io))
        elif isinstance(io, Corr):
            d['obsdata'].append(write_Corr_to_dict(io))
        else:
            raise Exception("Unkown datatype.")

    jsonstring = json.dumps(d, indent=indent, cls=my_encoder, ensure_ascii=False)

    def remove_quotationmarks(s):
        """Workaround for un-quoting of delta lists, adds 5% of work
           but is save, compared to a simple replace that could destroy the structure
        """
        deltas = False
        split = s.split('\n')
        for i in range(len(split)):
            if '"deltas":' in split[i] or '"cov":' in split[i] or '"grad":' in split[i]:
                deltas = True
            if deltas:
                split[i] = split[i].replace('"[', '[').replace(']"', ']')
                if split[i][-1] == ']':
                    deltas = False
        return '\n'.join(split)

    jsonstring = remove_quotationmarks(jsonstring)
    return jsonstring

def dump_to_json(ol, fname, description='', indent=1, gz=True):
    """Export a list of Obs or structures containing Obs to a .json(.gz) file

    Parameters
    ----------
    ol : list
        List of objects that will be exported. At the moments, these objects can be
        either of: Obs, list, numpy.ndarray, Corr.
        All Obs inside a structure have to be defined on the same set of configurations.
    fname : str
        Filename of the output file.
    description : str
        Optional string that describes the contents of the json file.
    indent : int
        Specify the indentation level of the json file. None or 0 is permissible and
        saves disk space.
    gz : bool
        If True, the output is a gzipped json. If False, the output is a json file.
    """

    jsonstring = create_json_string(ol, description, indent)

    if not fname.endswith('.json') and not fname.endswith('.gz'):
        fname += '.json'

    if gz:
        if not fname.endswith('.gz'):
            fname += '.gz'

        fp = gzip.open(fname, 'wb')
        fp.write(jsonstring.encode('utf-8'))
    else:
        fp = open(fname, 'w', encoding='utf-8')
        fp.write(jsonstring)
    fp.close()

def import_json_string(json_string, verbose=True, full_output=False):
    """Reconstruct a list of Obs or structures containing Obs from a json string.

    The following structures are supported: Obs, list, numpy.ndarray, Corr
    If the list contains only one element, it is unpacked from the list.

    Parameters
    ----------
    json_string : str
        json string containing the data.
    verbose : bool
        Print additional information that was written to the file.
    full_output : bool
        If True, a dict containing auxiliary information and the data is returned.
        If False, only the data is returned.
    """

    def _gen_obsd_from_datad(d):
        retd = {}
        if d:
            retd['names'] = []
            retd['idl'] = []
            retd['deltas'] = []
            retd['is_merged'] = {}
            for ens in d:
                for rep in ens['replica']:
                    retd['names'].append(rep['name'])
                    retd['idl'].append([di[0] for di in rep['deltas']])
                    retd['deltas'].append(np.array([di[1:] for di in rep['deltas']]))
                    retd['is_merged'][rep['name']] = rep.get('is_merged', False)
        return retd

    def _gen_covobsd_from_cdatad(d):
        retd = {}
        for ens in d:
            retl = []
            name = ens['id']
            layouts = ens.get('layout', '1').strip()
            layout = [int(ls.strip()) for ls in layouts.split(',') if len(ls) > 0]
            cov = np.reshape(ens['cov'], layout)
            grad = ens['grad']
            nobs = len(grad[0])
            for i in range(nobs):
                retl.append({'name': name, 'cov': cov, 'grad': [g[i] for g in grad]})
            retd[name] = retl
        return retd

    def get_Obs_from_dict(o):
        layouts = o.get('layout', '1').strip()
        if layouts != '1':
            raise Exception("layout is %s has to be 1 for type Obs." % (layouts), RuntimeWarning)

        values = o['value']
        od = _gen_obsd_from_datad(o.get('data', {}))
        cd = _gen_covobsd_from_cdatad(o.get('cdata', {}))

        if od:
            ret = Obs([[ddi[0] + values[0] for ddi in di] for di in od['deltas']], od['names'], idl=od['idl'])
            ret.is_merged = od['is_merged']
        else:
            ret = Obs([], [])
            ret._value = values[0]
        for name in cd:
            co = cd[name][0]
            ret._covobs[name] = Covobs(None, co['cov'], co['name'], grad=co['grad'])
            ret.names.append(co['name'])

        ret.reweighted = o.get('reweighted', False)
        ret.tag = o.get('tag', [None])[0]
        return ret

    def get_List_from_dict(o):
        layouts = o.get('layout', '1').strip()
        layout = int(layouts)
        values = o['value']
        od = _gen_obsd_from_datad(o.get('data', {}))
        cd = _gen_covobsd_from_cdatad(o.get('cdata', {}))

        ret = []
        taglist = o.get('tag', layout * [None])
        for i in range(layout):
            if od:
                ret.append(Obs([list(di[:, i] + values[i]) for di in od['deltas']], od['names'], idl=od['idl']))
                ret[-1].is_merged = od['is_merged']
            else:
                ret.append(Obs([], []))
                ret[-1]._value = values[i]
                print('Created Obs with means= ', values[i])
            for name in cd:
                co = cd[name][i]
                ret[-1]._covobs[name] = Covobs(None, co['cov'], co['name'], grad=co['grad'])
                ret[-1].names.append(co['name'])

            ret[-1].reweighted = o.get('reweighted', False)
            ret[-1].tag = taglist[i]
        return ret

    def get_Array_from_dict(o):
        layouts = o.get('layout', '1').strip()
        layout = [int(ls.strip()) for ls in layouts.split(',') if len(ls) > 0]
        N = np.prod(layout)
        values = o['value']
        od = _gen_obsd_from_datad(o.get('data', {}))
        cd = _gen_covobsd_from_cdatad(o.get('cdata', {}))

        ret = []
        taglist = o.get('tag', N * [None])
        for i in range(N):
            if od:
                ret.append(Obs([di[:, i] + values[i] for di in od['deltas']], od['names'], idl=od['idl']))
                ret[-1].is_merged = od['is_merged']
            else:
                ret.append(Obs([], []))
                ret[-1]._value = values[i]
            for name in cd:
                co = cd[name][i]
                ret[-1]._covobs[name] = Covobs(None, co['cov'], co['name'], grad=co['grad'])
                ret[-1].names.append(co['name'])
            ret[-1].reweighted = o.get('reweighted', False)
            ret[-1].tag = taglist[i]
        return np.reshape(ret, layout)

    def get_Corr_from_dict(o):
        taglist = o.get('tag')
        corr_meta_data = taglist[-1].split('|')
        padding_front = int(corr_meta_data[0])
        padding_back = int(corr_meta_data[1])
        corr_tag = corr_meta_data[2]
        tmp_o = o
        tmp_o['tag'] = taglist[:-1]
        if len(tmp_o['tag']) == 0:
            del tmp_o['tag']
        dat = get_Array_from_dict(tmp_o)
        my_corr = Corr(list(dat), padding=[padding_front, padding_back])
        if corr_tag != 'None':
            my_corr.tag = corr_tag
        return my_corr

    json_dict = json.loads(json_string)

    prog = json_dict.get('program', '')
    version = json_dict.get('version', '')
    who = json_dict.get('who', '')
    date = json_dict.get('date', '')
    host = json_dict.get('host', '')
    if prog and verbose:
        print('Data has been written using %s.' % (prog))
    if version and verbose:
        print('Format version %s' % (version))
    if np.any([who, date, host] and verbose):
        print('Written by %s on %s on host %s' % (who, date, host))
    description = json_dict.get('description', '')
    if description and verbose:
        print()
        print('Description: ', description)
    obsdata = json_dict['obsdata']
    ol = []
    for io in obsdata:
        if io['type'] == 'Obs':
            ol.append(get_Obs_from_dict(io))
        elif io['type'] == 'List':
            ol.append(get_List_from_dict(io))
        elif io['type'] == 'Array':
            ol.append(get_Array_from_dict(io))
        elif io['type'] == 'Corr':
            ol.append(get_Corr_from_dict(io))
        else:
            raise Exception("Unkown datatype.")

    if full_output:
        retd = {}
        retd['program'] = prog
        retd['version'] = version
        retd['who'] = who
        retd['date'] = date
        retd['host'] = host
        retd['description'] = description
        retd['obsdata'] = ol

        return retd
    else:
        if len(obsdata) == 1:
            ol = ol[0]

        return ol

def load_json(fname, verbose=True, gz=True, full_output=False):
    """Import a list of Obs or structures containing Obs from a .json.gz file.

    The following structures are supported: Obs, list, numpy.ndarray, Corr
    If the list contains only one element, it is unpacked from the list.

    Parameters
    ----------
    fname : str
        Filename of the input file.
    verbose : bool
        Print additional information that was written to the file.
    gz : bool
        If True, assumes that data is gzipped. If False, assumes JSON file.
    full_output : bool
        If True, a dict containing auxiliary information and the data is returned.
        If False, only the data is returned.
    """
    if not fname.endswith('.json') and not fname.endswith('.gz'):
        fname += '.json'
    if gz:
        if not fname.endswith('.gz'):
            fname += '.gz'
        with gzip.open(fname, 'r') as fin:
            d = fin.read().decode('utf-8')
    else:
        if fname.endswith('.gz'):
            warnings.warn("Trying to read from %s without unzipping!" % fname, UserWarning)
        with open(fname, 'r', encoding='utf-8') as fin:
            d = fin.read()

    return import_json_string(d, verbose, full_output)