# Source code for pymzml.spec

    #!usr/bin/env python3
    # -*- coding: latin-1 -*-
    """
    The spectrum class offers a python object for mass spectrometry data.
    The spectrum object holds the basic information of the spectrum and offers
    methods to interrogate properties of the spectrum.
    Data, i.e. mass over charge (m/z) and intensity decoding is performed on demand
    and can be accessed via their properties, e.g. :py:attr:`~pymzml.spec.Spectrum.peaks`.

    The Spectrum class is used in the :py:class:`~pymzml.run.Reader` class.
    There each spectrum is accessible as a spectrum object.

    Theoretical spectra can also be created using the setter functions.
    For example, m/z values, intensities, and peaks can be set by the
    corresponding properties: :py:attr:`pymzml.spec.Spectrum.mz`,
    :py:attr:`pymzml.spec.Spectrum.i`, :py:attr:`pymzml.spec.Spectrum.peaks`.

    Similar to the spectrum class, the chromatogram class allows interrogation
    with profile data (time, intensity) in an total ion chromatogram.
    """
    #
    # pymzml
    #
    # Copyright (C) 2016 M. KÃ¶sters, C. Fufezan
    #
    #    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 <http://www.gnu.org/licenses/>.
    from __future__ import print_function
    from base64 import b64decode as b64dec
    from collections import defaultdict as ddict
    from operator import itemgetter as itemgetter
    from struct import unpack
    import math
    # import pymzml.obo
    from functools import lru_cache
    import pymzml.regex_patterns as regex_patterns
    import re
    import sys
    import xml.etree.ElementTree as ElementTree
    import zlib

    global __NP
    try:
        import numpy as np
        __NP = 'available!'
    except:
        __NP = None

    # try:
    #     import pynumpress as PyNump
    # except:
    #     pass
    try:
        import pynumpress as PyNump
    except:
        print('Please install pynumpress: pip install pynumpress')

    PROTON = 1.00727646677
    ISOTOPE_AVERAGE_DIFFERENCE = 1.002

    class MS_Spectrum(object):
        """
        General spectrum class for data handling.
        """
        # __slots__ = [
        #     # '_read_accessions',
        #     # 'get_element_by_name',
        #     # 'get_element_by_path',
        #     # '_register',
        #     # 'precursors',
        #     # '_get_encoding_parameters',
        #     # 'measured_precision',
        #     # '_decode_to_numpy',
        #     # '_median',
        #     # 'to_string',
        # ]
        def __init__(self):
            """."""
            pass

        def _read_accessions(self):
            """Set all required variables for this spectrum."""
            self.accessions = {}
            for element in self.element.getiterator():
                accession = element.get('accession')
                name      = element.get('name')
                if accession is not None:
                    self.accessions[name] = accession
            if 'profile spectrum' in self.accessions.keys():
                self._profile = True

        def get_element_by_name(self, name):
            """
            Get element from the original tree by it's unit name.

            Arguments:
                name (str): unit name of the mzml element.

            Keyword Arguments:
                obo_version (str, optional): obo version number.

            """
            iterator = self.element.getiterator()
            return_ele = None
            for ele in iterator:
                if ele.get('name', default=None) == name:
                    return_ele = ele
                    break
            return return_ele

        def get_element_by_path(self, hooks):
            """
            Find elements in spectrum by its path.

            Arguments:
                hooks (list): list of parent elements for the target element.

            Returns:
                elements (list): list of XML objects
                found in the path

            Example:

                To access cvParam in scanWindow tag:

                >>> spec.get_element_by_path(['scanList', 'scan', 'scanWindowList',
                ...     'scanWindow', 'cvParam'])

            """
            return_ele = None
            if len(hooks) > 0:
                path_array = ['.']
                for hook in hooks:
                    path_array.append('{ns}{hook}'.format(ns=self.ns, hook=hook))
                path = '/'.join(path_array)
                return_ele = self.element.findall(path)

            return return_ele

        def _register(self, decoded_tuple):
            d_type, array = decoded_tuple
            if d_type == 'mz':
                self._mz = array
            elif d_type == 'i':
                self._i = array
            elif d_type == 'time':
                self._time = array
            else:
                raise Exception('Unknown data Type ({0})'.format(d_type))

        @property
        def precursors(self):
            """
            List the precursor information of this spectrum, if available.

            Returns:
                precursor(list): list of precursor ids for this spectrum.
            """
            if self._precursors is None:
                precursors = self.element.findall(
                    './{ns}precursorList/{ns}precursor'.format(ns=self.ns)
                )
                self._precursors = []
                for prec in precursors:
                    spec_ref = prec.get('spectrumRef')
                    self._precursors.append(
                        regex_patterns.SPECTRUM_ID_PATTERN.search(
                            spec_ref
                        ).group(1)
                    )
            return self._precursors

        def _get_encoding_parameters(self, array_type):
            """
            Find the correct parameter for decoding and return them as tuple.

            Arguments:
                array_type (str): data type of the array, e.g. m/z, time or
                    intensity
            Returns:
                data (str)           : encoded data
                comp (str)           : compression method
                fType (str)          : float precision
                d_array_length (str) : length of the data array
            """
            numpress_encoding = False

            array_type_accession = self.calling_instance.OT[array_type]['id']

            b_data_string ="./{ns}binaryDataArrayList/{ns}binaryDataArray/{ns}cvParam[@accession='{Acc}']/..".format(
                    ns = self.ns, Acc=array_type_accession
            )

            float_type_string = "./{ns}cvParam[@accession='{Acc}']"

            b_data_array = self.element.find(b_data_string)
            comp = []
            for cvParam in b_data_array.iterfind("./{ns}cvParam".format(ns = self.ns)):
                if 'compression' in cvParam.get('name'):
                    if 'numpress' in cvParam.get('name').lower():
                        numpress_encoding = True
                    comp.append(cvParam.get('name'))
                d_array_length = self.element.get('defaultArrayLength')
            if not numpress_encoding:
                try:
                    # 32-bit float
                    f_type = b_data_array.find(
                        float_type_string.format(
                            ns  = self.ns,
                            Acc = self.calling_instance.OT['32-bit float']['id']
                        )
                    ).get('name')
                except:
                    # 64-bit Float
                    f_type = b_data_array.find(
                        float_type_string.format(
                            ns  = self.ns,
                            Acc = self.calling_instance.OT['64-bit float']['id']
                        )
                    ).get('name')
            else:
                # compression is numpress, dont need floattype here
                f_type = None
            data = b_data_array.find(
                "./{ns}binary".format(
                    ns=self.ns
                )
            ).text
            if data is not None:
                data = data.encode("utf-8")
            else:
                data = ''
            return (data, d_array_length, f_type, comp)

        @property
        def measured_precision(self):
            """
            Set the measured and internal precision.

            Returns:
                value (float): measured Precision (e.g. 5e-6)
            """
            return self._measured_precision

        @measured_precision.setter
        def measured_precision(self, value):
            self._measured_precision = value
            self.internal_precision  = int(round(50000.0 / (value * 1e6)))
            return

        def _decode_to_numpy(self, data, d_array_length, float_type, comp):
            """
            Decode the b64 encoded and packed strings from data as numpy arrays.

            Returns:
                data (np.ndarray): Returns the unpacked data as a tuple. Returns an
                                   empty list if there is no raw data or raises an
                                   exception if data could not be decoded.

            d_array_length just for compatibility
            """
            out_data = b64dec(data)
            if len(out_data) != 0:
                if 'zlib' in comp or \
                    'zlib compression' in comp:
                    out_data = zlib.decompress(out_data)
                if 'ms-np-linear' in comp or\
                    'ms-np-pic' in comp or\
                    'ms-np-slof' in comp or\
                    'MS-Numpress linear prediction compression' in comp or\
                    'MS-Numpress short logged float compression' in comp:

                    out_data = self._decodeNumpress_to_array(out_data, comp)
                if float_type == '32-bit float':
                    # one character code may be sufficient too (f)
                    f_type = np.float32
                    out_data = np.fromstring(out_data, f_type)
                elif float_type == '64-bit float':
                    # one character code may be sufficient too (d)
                    f_type = np.float64
                    out_data = np.fromstring(out_data, f_type)
            else:
                out_data = np.array([])
            return out_data

        def _decode_to_tuple(self, data, d_array_length, float_type, comp):
            """
            Decode b64 encoded and packed strings.

            Returns:
                data (tuple): Returns the unpacked data as a tuple.
                    Returns an empty list if there is no raw data or
                    raises an exception if data could not be decoded.
            """
            dec_data = b64dec(data)
            if len(dec_data) != 0:
                if 'zlib' in comp or\
                   'zlib compression' in comp:
                    dec_data = zlib.decompress(dec_data)
                if set(['ms-np-linear', 'ms-np-pic', 'ms-np-slof']) & set(comp):
                    self._decodeNumpress(data, comp)
                # else:
                #     print(
                #         'New data compression ({0}) detected, cant decompress'.format(
                #             comp
                #         )
                #     )
                #     sys.exit(1)
                if float_type == '32-bit float':
                    f_type = 'f'
                elif float_type == '64-bit float':
                    f_type = 'd'
                fmt = "{endian}{array_length}{float_type}".format(
                    endian="<",
                    array_length=d_array_length,
                    float_type=f_type
                )
                ret_data = unpack(fmt, dec_data)
            else:
                ret_data = []
            return ret_data

        def _decodeNumpress_to_array(self, data, compression):
            """
            Decode golomb-rice encoded data (aka numpress encoded data).

            Arguments:
                data (str)        : Encoded data string
                compression (str) : Decompression algorithm to be used
                    (valid are 'ms-np-linear', 'ms-np-pic', 'ms-np-slof')

            Returns:
                array (list): Returns the unpacked data as an array of floats.

            """
            result = []
            comp_ms_tags = [self.calling_instance.OT[comp]['id'] for comp in compression]
            data = np.frombuffer(data, dtype=np.uint8)
            if 'MS:1002312' in comp_ms_tags:
                result = PyNump.decode_linear(data)
            elif 'MS:1002313' in comp_ms_tags:
                # PyNump.decodePic(data, result)
                result  = PyNump.decode_pic(data)
            elif 'MS:1002314' in comp_ms_tags:
                # PyNump.decodeSlof(data, result)
                result = PyNump.decode_slof(data)
            return result

        def _median(self, data):
            """
            Compute median.

            Arguments:
                data (list): list of numeric values

            Returns:
                median (float): median of the input data
            """
            'NEEDS Numpy version'
            if globals()['__NP'] is not None:
                median = np.median(data)
            else:
                if len(data) == 0:
                    return None
                data.sort()
                l = len(data)
                if not l % 2:
                    median = (
                        data[int(math.floor(float(l) / float(2)))] \
                        + data[int(math.ceil(float(l) / float(2)))]
                    ) / float(2.0)
                else:
                    median = data[int(l / 2)]
            return median

        def to_string(self, encoding='latin-1', method='xml'):
            """
            Return string representation of the xml element the
            spectrum was initialized with.

            Keyword Arguments:
                encoding (str) : text encoding of the returned string.\n
                                 Default is latin-1.
                method (str)   : text format of the returned string.\n
                                 Default is xml, alternatives are html and text.

            Returns:
                element (str)  : xml string representation of the spectrum.
            """
            return ElementTree.tostring(
                self.element,
                encoding = encoding,
                method   = method
            )

    class Spectrum(MS_Spectrum):
        """
        Spectrum class which inherits from class :py:attr:`pymzml.spec.MS_Spectrum`

        Arguments:
            element (xml.etree.ElementTree.Element): spectrum as xml element

        Keyword Arguments:
            measured_precision (float): in ppm, i.e. 5e-6 equals to 5 ppm.

        """
        def __init__(self, element = None, measured_precision = 5e-6):

            __slots__ = [

                "_centroided_peaks",
                "_centroided_peaks_sorted_by_i",
                "_deconvoluted_peaks",
                "_extreme_values",
                "_i",
                "_ID",
                "_measured_precision",
                "_peaks",
                "_precursors",
                "_profile",
                "_reprofiled_peaks",
                "_t_mass_set",
                "_t_mz_set",
                "_time",
                "_transformed_mass_with_error",
                "_transformed_mz_with_error",
                "_transformed_peaks"
                "calling_instance"
                "element",
                "internal_precision"
                "noise_level_estimate",
                "selected_precursors"
            ]

            self._centroided_peaks             = None
            self._centroided_peaks_sorted_by_i = None
            self._extreme_values               = None
            self._i                            = None
            self._ID                           = None
            self._ms_level                     = None
            self._mz                           = None
            self._peak_dict = {
                'raw'          : None,
                'centroided'   : None,
                'reprofiled'   : None,
                'deconvoluted' : None
            }
            self._selected_precursors          = None
            self._profile                      = None
            self._reprofiled_peaks             = None
            self._scan_time                    = None
            self._scan_time_unit               = None
            self._t_mass_set                   = None
            self._t_mz_set                     = None
            self._TIC                          = None
            self._transformed_mass_with_error  = None
            self._transformed_mz_with_error    = None
            self._transformed_peaks            = None
            self.calling_instance              = None
            self.element                       = element
            self._measured_precision            = measured_precision
            self.noise_level_estimate          = {}

            if self.element:
                self.ns = re.match(
                    '\{.*\}', element.tag
                ).group(0) if re.match('\{.*\}', element.tag) else ''

            if globals()['__NP'] is None:
                self._decode = self._decode_to_tuple
                self._array  = list
            else:
                self._decode = self._decode_to_numpy
                self._array  = np.array

        def __del__(self):
            """
            Clear self.element to limit RAM usage
            """
            if self.element:
                self.element.clear()

        def __add__(self, other_spec):
            """
            Adds two pymzml spectra

            Arguments:
                other_spec (Spectrum): spectrum to add to the current spectrum

            Returns:
                self (Spectrum): reference to the edited spectrum

            Example:

            >>> import pymzml
            >>> s = pymzml.spec.Spectrum( measuredPrescision = 20e-6 )
            >>> file_to_read = "../mzML_example_files/xy.mzML.gz"
            >>> run = pymzml.run.Reader(
            ...     file_to_read ,
            ...     MS1_Precision = 5e-6 ,
            ...     MSn_Precision = 20e-6
            ... )
            >>> for spec in run:
            ...     s += spec

            """
            assert isinstance(other_spec, Spectrum)
            if self._peak_dict['reprofiled'] is None:
                self.set_peaks(self._reprofile_Peaks(), 'reprofiled')
            for mz, i in other_spec.peaks('reprofiled'):
                self._peak_dict['reprofiled'][mz] += i
            # self.set_peaks(None, 'reprofiled')
            # self.set_peaks(None, 'reprofiled')
            return self

        def __sub__(self, other_spec):
            """
            Subtracts two pymzml spectra.

            Arguments:
                other_spec (spec.Spectrum): spectrum to subtract from the current
                    spectrum

            Returns:
                self (spec.Spectrum): returns self after other_spec was subtracted
            """
            assert isinstance(other_spec, Spectrum)
            if self._peak_dict['reprofiled'] is None:
                self.set_peaks(self._reprofile_Peaks(), 'reprofiled')
            for mz, i in other_spec.peaks('reprofiled'):
                self._peak_dict['reprofiled'][mz] -= i
            self.set_peaks(None, 'centroided')
            self.set_peaks(None, 'raw')
            return self

        def __mul__(self, value):
            """
            Multiplies each intensity with a float, i.e. scales the spectrum.

            Arguments:
                value (int, float): value to multiply the intensities with

            Returns:
                self (spec.Spectrum): returns self after intensities were scaled
                    by value
            """
            assert isinstance(value, (int, float))
            if self._peak_dict['raw'] is not None:
                if globals()['__NP'] is None:
                    self.set_peaks(
                        [(mz, i * float(value)) for mz, i in self.peaks('raw')],
                        'raw'
                    )
                else:
                    self.set_peaks(
                        np.column_stack(
                            (self.peaks('raw')[:, 0], self.peaks('raw')[:, 1] * value)
                        ),
                        'raw'
                    )
            if self._peak_dict['centroided'] is not None:
                if globals()['__NP'] is None:
                    self.set_peaks(
                        [(mz, i * float(value)) for mz, i in self.centroided_peaks],
                        'centroided'
                    )
                else:
                    self.set_peaks(
                        np.column_stack(
                            (
                                self.centroided_peaks[:, 0],
                                self.centroided_peaks[:, 1] * value
                            )
                        ),
                        'centroided'
                    )
            if self._peak_dict['reprofiled'] is not None:
                if globals()['__NP'] is None:
                    for mz in self._peak_dict['reprofiled'].keys():
                        self._peak_dict['reprofiled'][mz] *= float(value)
                else:
                    # TODO more efficient version with numpy
                    pass
            return self

        def __truediv__(self, value):
            """
            Divides each intensity by a float, i.e. scales the spectrum.

            Arguments:
                value (int, float): value to divide the intensities by

            Returns:
                self (spec.Spectrum): returns self after intensities were scaled
                    by value.
            """
            assert isinstance(value, (int, float)), ''
            if self._peak_dict['raw'] is not None:
                if globals()['__NP'] is None:
                    self.set_peaks([(mz, i / float(value)) for mz, i in self.peaks('raw')], 'raw')
                else:
                    self.set_peaks(
                        np.column_stack(
                            (
                                self.peaks('raw')[:, 0],
                                self.peaks('raw')[:, 1] / float(value)
                            )
                        ), 'raw'
                    )
            if self._peak_dict['centroided'] is not None:
                if globals()['__NP'] is None:
                    self.set_peaks(
                        [
                            (mz, i / float(value)) for mz, i in self.centroided_peaks
                        ],
                        'centroided'
                    )
                else:
                    self.set_peaks(
                        np.column_stack(
                            (
                                self.centroided_peaks[:, 0],
                                self.centroided_peaks[:, 1] / float(value)
                            )
                        ),
                        'centroided'
                    )
            if self._peak_dict['reprofiled'] is not None:
                if globals()['__NP'] is None:
                    for mz in self.peak_dict['reprofiled'].keys():
                        self.peak_dict['reprofiled'][mz] /= float(value)
                else:
                    pass
            return self

        def __div__(self, value):
            """
            Integer division is the same as __truediv__ for this class
            """
            return self.__truediv__(value)

        def __repr__(self):
            """
            Returns representative string for a spectrum object class
            """
            return '<__main__.Spectrum object with native ID {0} at {1}>'.format(
                self.ID, hex(id(self))
            )

        def __str__(self):
            """
            Returns representative string for a spectrum object class
            """
            return '<__main__.Spectrum object with native ID {0} at {1}>'.format(
                self.ID, hex(id(self))
            )

        @lru_cache()
        def __getitem__(self, accession):
            """
            Access spectrum XML information by tag name

            Args:
                accession(str): name of the XML tag

            Returns:
                value (float or str): value of the XML tag
            """
            #  TODO implement cache???
            if accession == 'id':
                return_val = self.ID
            else:
                if not accession.startswith('MS:'):
                    accession = self.calling_instance.OT[accession]['id']
                search_string = './/*[@accession="{0}"]'.format(accession)

                elements = []
                for x in self.element.iterfind(search_string):
                    val = x.attrib.get('value')
                    try:
                        val = float(val)
                    except:
                        pass
                    elements.append(val)

                if len(elements) == 0:
                    return_val = None
                elif len(elements) == 1:
                    return_val = elements[0]
                else:
                    return_val = elements
            return return_val

        def get(self, acc, default=None):
            """Mimic dicts get function.

            Args:
                acc (str): accession or obo tag to return
                default (None, optional): default value if acc is not found
            """
            val = self[acc]
            if val is None:
                val = default
            return val

        def __contains__(self, value):
            """Check if MS tag or name can be found in spectrum.

            Args:
                value (str): MS tag or OBO name

            Returns:
                bool
            """
            r = False
            if self[value] is not None:
                r = True
            return r

        @property
        def measured_precision(self):
            """
            Sets the measured and internal precision

            Returns:
                value (float): measured precision (e.g. 5e-6)
            """
            return self._measured_precision

        @measured_precision.setter
        def measured_precision(self, value):
            self._measured_precision = value
            self.internal_precision  = int(round(50000.0 / (value * 1e6)))
            return

        @property
        def t_mz_set(self):
            """
            Creates a set of integers out of transformed m/z values
            (including all values in the defined imprecision).
            This is used to accelerate has_peak function and similar.

            Returns:
                t_mz_set (set): set of transformed m/z values
            """
            if self._t_mz_set is None:
                self._t_mz_set = set()
                for mz, i in self.peaks('centroided'):
                    self._t_mz_set |= set(
                        range(
                            int(round(
                                (mz - (mz * self.measured_precision)) * self.internal_precision
                            )),
                            int(round(
                                (mz + (mz * self.measured_precision)) * self.internal_precision)) + 1)
                    )
            return self._t_mz_set

        @property
        def transformed_mz_with_error(self):
            """
            Returns transformed m/z value with error

            Returns:
                tmz values (dict): Transformed m/z values in dictionary\n
                    {\n
                    m/z_with_error : [(m/z,intensity), ...], ...\n
                    }\n
            """
            if self._transformed_mz_with_error is None:
                self._transformed_mz_with_error = ddict(list)
                for mz, i in self.peaks('centroided'):
                    for t_mz_with_error in range(
                        int(round((mz - (mz * self.measured_precision)) * self.internal_precision)),
                                                 int(round((mz + (mz * self.measured_precision)) * self.internal_precision)) + 1):
                        self._transformed_mz_with_error[t_mz_with_error].append((mz, i))
            return self._transformed_mz_with_error

        @property
        def transformed_peaks(self):
            """
            m/z value is multiplied by the internal precision.

            Returns:
                Transformed peaks (list): Returns a list of peaks (tuples of mz and
                intensity).
                Float m/z values are adjusted by the internal precision
                to integers.
            """
            if self._transformed_peaks is None:
                self._transformed_peaks = [
                    (self.transform_mz(mz), i) for mz, i in self.peaks('centroided')
                ]
            return self._transformed_peaks

        @property
        def TIC(self):
            """
            Property to access the total ion current for this spectrum.

            Returns:
                TIC (float): Total Ion Current of the spectrum.
            """
            if self._TIC is None:
                self._TIC = float(
                    self.element.find(
                        "./{ns}cvParam[@accession='MS:1000285']".format(
                            ns=self.ns
                        )
                    ).get('value')
                )# put hardcoded MS tags in minimum.py???
            return self._TIC

        @property
        def ID(self):
            """
            Access the native id (last number in the id attribute) of the spectrum.

            Returns:
                ID (str): native ID of the spectrum
            """
            if self._ID is None:
                self._ID = regex_patterns.SPECTRUM_ID_PATTERN.search(
                    self.element.get('id')
                ).group(1)
                try:
                    self._ID = int(self._ID)
                except:
                    pass
            return self._ID

        @property
        def ms_level(self):
            """
            Property to access the ms level.

            Returns:
                ms_level (int):
            """
            if self._ms_level is None:
                self._ms_level = self.element.find(
                    ".//{ns}cvParam[@accession='MS:1000511']".format(
                        ns=self.ns
                    )
                ).get('value') # put hardcoded MS tags in minimum.py???
            return int(self._ms_level)

        @property
        def scan_time(self):
            """
            Property to access the retention time and retention time unit.
            Please note, that we do not assume the retention time unit,
            if it is not correctly defined in the mzML.
            It is set to 'unicorns' in this case.

            Returns:
                scan_time (float):
                scan_time_unit (str):
            """
            if self._scan_time is None or self._scan_time_unit is None:
                scan_time_ele = self.element.find(
                    ".//*[@accession='MS:1000016']".format(
                        ns=self.ns
                    )
                )
                self._scan_time = float(scan_time_ele.attrib.get('value'))
                self._scan_time_unit = scan_time_ele.get('unitName', 'unicorns')
            return self._scan_time, self._scan_time_unit

        # @property
        def scan_time_in_minutes(self):
            """
            Property to access the retention time in minutes.
            If the retention time unit is defined within the mzML,
            the retention time is converted into minutes and returned
            without the unit.

            Returns:
                scan_time (float):
            """

            self._scan_time, time_unit = self.scan_time
            if self._scan_time_unit.lower() == 'second':
                self._scan_time /= 60.0
            elif self._scan_time_unit.lower() == 'minute':
                pass
            elif self._scan_time_unit.lower() == 'hour':
                self._scan_time *= 60.0
                pass
            else:
                raise Exception("Time unit '{0}' unknown".format(self._scan_time_unit))
            return self._scan_time

        @property
        def selected_precursors(self):
            """
            Property to access the selected precursors of a MS2 spectrum. Returns
            a list of dicts containing the precursors mz and, if available intensity
            and charge for each precursor.

            Returns:
                selected_precursors (list):
            """
            if self._selected_precursors is None:
                selected_precursor_mzs = self.element.findall(
                    ".//*[@accession='MS:1000744']"
                )
                selected_precursor_is = self.element.findall(
                    ".//*[@accession='MS:1000042']"
                )
                selected_precursor_cs = self.element.findall(
                    ".//*[@accession='MS:1000041']"
                )

                mz_values = []
                i_values  = []
                charges   = []
                for obj in selected_precursor_mzs:
                    mz = obj.get('value')
                    mz_values.append(float(mz))
                for obj in selected_precursor_is:
                    i = obj.get('value')
                    i_values.append(float(i))
                for obj in selected_precursor_cs:
                    c = obj.get('value')
                    charges.append(int(c))
                self._selected_precursors = []
                for pos, mz in enumerate(mz_values):
                    dict_2_save = {
                        'mz' : mz
                    }
                    for key, list_of_values in [('i', i_values), ('charge', charges)]:
                        try:
                            dict_2_save[key] = list_of_values[pos]
                        except:
                            continue
                    self._selected_precursors.append(dict_2_save)

            return self._selected_precursors

        @property
        def mz(self):
            """
            Returns the list of m/z values. If the m/z values are encoded, the
            function :func:`~spec.MS_Spectrum._decode` is used to decode the encoded data.
            The mz property can also be set, e.g. for theoretical data.
            However, it is recommended to use the peaks property to set mz and
            intensity tuples at same time.

            Returns:
                mz (list): list of m/z values of spectrum.
            """
            if self._mz is None:
                params = self._get_encoding_parameters('m/z array')
                self._mz = self._decode(*params)
            return self._mz

        @mz.setter
        def mz(self, mz_list):
            ''''''
            if globals()['__NP'] is not None:
                mz_list = np.array(mz_list, dtype=np.float64)
                mz_list.sort()
                self._mz = mz_list
            else:
                assert isinstance(mz_list, list)
                self._mz = sorted(mz_list)

        @property
        def i(self):
            """
            Returns the list of the intensity values.
            If the intensity values are encoded, the function :func:`~spec.MS_Spectrum._decode`
            is used to decode the encoded data.\n
            The i property can also be set, e.g. for theoretical data. However,
            it is recommended to use the peaks property to set mz and intensity
            tuples at same time.

            Returns
                i (list): list of intensity values from the analyzed spectrum
            """
            if self._i is None:
                params = self._get_encoding_parameters('intensity array')
                self._i = self._decode(*params)
            return self._i

        @i.setter
        def i(self, intensity_list):
            if globals()['__NP'] is not None:
                intensity_list = np.array(intensity_list)
            else:
                assert isinstance(intensity_list, list)
            self._i = intensity_list

        def peaks(self, peak_type):
            """
            Decode and return a list of mz/i tuples.

            Args:
                peak_type(str): currently supported types are:
                    raw, centroided and reprofiled

            Returns:
                peaks (list or ndarray): list or numpy array of mz/i tuples or arrays
            """
            if self._peak_dict[peak_type] is None:
                if self._peak_dict['raw'] is None:
                    self._peak_dict['raw'] = []
                    mz_params = self._get_encoding_parameters('m/z array')
                    i_params  = self._get_encoding_parameters('intensity array')
                    mz = self._decode(*mz_params)
                    i  = self._decode(*i_params)
                    # self._peak_dict['raw'] = np.ndarray(len(mz), dtype=tuple)
                    for pos, mz_val in enumerate(mz):
                        self._peak_dict['raw'].append((mz_val, i[pos]))
                        # self._peak_dict['raw'][pos] = [mz, 1]
                if peak_type is 'raw':
                    pass
                elif peak_type is 'centroided':
                    self._peak_dict['centroided'] = self._centroid_peaks()
                elif peak_type is 'reprofiled':
                    self._peak_dict['reprofiled'] = self._reprofile_Peaks()
                elif peak_type is 'deconvoluted':
                    self._peak_dict['deconvoluted'] = self._deconvolute_peaks()
                else:
                    raise KeyError

            peaks = self._array(self._peak_dict[peak_type])
            if peak_type is 'reprofiled':
                peaks = list(self._peak_dict[peak_type].items())
                peaks.sort(key=itemgetter(0))
            return peaks

        def set_peaks(self, peaks, peak_type):
            """
            Assign a custom peak array of type peak_type

            Args:
                peaks(list or ndarray): list or array of mz/i values
                peak_type(str): Either raw, centroided or reprofiled

            """
            peak_type = peak_type.lower()
            if peak_type == 'raw':
                self._peak_dict['raw'] = peaks
                self._mz = [mz for mz, i in self.peaks('raw')]
                self._i  = [i for mz, i in self.peaks('raw')]
            elif peak_type == 'centroided':
                self._peak_dict['centroided'] = peaks
                self._mz = [mz for mz, i in self.peaks('raw')]
                self._i  = [i for mz, i in self.peaks('raw')]
            elif peak_type == 'reprofiled':
                try:
                    self._peak_dict['reprofiled'] = dict(peaks)
                except TypeError:
                    self._peak_dict['reprofiled'] = None
            else:
                raise Exception(
                    'Peak type is not suppported\n'
                    'Choose either "raw", "centroided" or "reprofiled"'
                )

        def _centroid_peaks(self):
            """
            Perform a Gauss fit to centroid the peaks for the property
            centroided_peaks.

            Returns:
                centroided_peaks (list): list of centroided m/z, i tuples
            """
            try:
                acc = self.calling_instance.OT['profile spectrum']['id']
                is_profile = self.element.find(
                    ".//*[@accession='{acc}']".format(
                        ns=self.ns,
                        acc=acc
                    )
                )
            except TypeError as e:
                is_profile = None
            # is_centroid = self.element.find(
            #     ".//*[@accession='MS:1000127']".format(
            #         ns=self.ns
            #     )
            # )
            # this is OBO dependent :()
            # .get('value')
            if is_profile is not None: # check if spec is a profile spec
                tmp = []
                if self._peak_dict['reprofiled'] is not None:
                    i_array  = [i for mz, i in self.peaks('reprofiled')]
                    mz_array = [mz for mz, i in self.peaks('reprofiled')]
                else:
                    i_array = self.i
                    mz_array = self.mz
                for pos, i in enumerate(i_array[:-1]):
                    if pos <= 1:
                        continue
                    if 0 < i_array[pos - 1] < i > i_array[pos + 1] > 0:
                        x1 = float(mz_array[pos - 1])
                        y1 = float(i_array[pos - 1])
                        x2 = float(mz_array[pos])
                        y2 = float(i_array[pos])
                        x3 = float(mz_array[pos + 1])
                        y3 = float(i_array[pos + 1])
                        if x2 - x1 > (x3 - x2) * 10 or (x2 - x1) * 10 < x3 - x2:
                            continue
                        if y3 == y1:
                            before = 3
                            after = 4
                            while y1 == y3 and after < 10:  # we dont want to go too far
                                if pos - before < 0:
                                    lower_pos = 0
                                else:
                                    lower_pos = pos - before
                                if pos + after >= len(mz_array):
                                    upper_pos = len(mz_array) - 1
                                else:
                                    upper_pos = pos + after
                                x1 = mz_array[lower_pos]
                                y1 = i_array[lower_pos]
                                x3 = mz_array[upper_pos]
                                y3 = i_array[upper_pos]

                                if before % 2 == 0:
                                    after += 1
                                else:
                                    before += 1
                        try:
                            double_log = math.log(y2 / y1) / math.log(y3 / y1)
                            mue = (double_log * (x1 * x1 - x3 * x3) - x1 * x1 + x2\
                                   * x2) / (2 * (x2 - x1) - 2 * double_log * \
                                            (x3 - x1))
                            c_squarred = (x2 * x2 - x1 * x1 - 2 * x2 * mue \
                                          + 2 * x1 * mue) / (2 * math.log(y1 / y2)
                            )
                            A = y1 * math.exp((x1 - mue) * (x1 - mue) \
                                              / (2 * c_squarred))
                        except:
                            continue
                        tmp.append((mue, A))
                return tmp
            else:
                return self.peaks('raw')

        def _reprofile_Peaks(self):
            """
            Performs reprofiling for property reprofiled_peaks.

            Returns:
                reprofiled_peaks (list): list of reprofiled m/z, i tuples
            """
            tmp = ddict(int)
            for mz, i in self.peaks('centroided'):
                # Let the measured precision be 2 sigma of the signal width
                # When using normal distribution
                # FWHM = 2 sqt(2 * ln(2)) sigma = 2.3548 sigma
                s = mz * self.measured_precision * 2 # in before 2
                s2 = s * s
                floor  = mz - 5.0 * s   # Gauss curve +- 3 sigma
                ceil = mz + 5.0 * s
                ip = self.internal_precision / 4
                # more spacing, i.e. less points describing the gauss curve
                # -> faster adding
                for _ in range(int(round(floor * ip)), int(round(ceil * ip)) + 1):
                    if _ % int(5) == 0:
                        a = float(_) / float(ip)
                        y = i * math.exp(-1 * ((mz - a) * (mz - a))  / (2 * s2))
                        tmp[a] += y
            self.reprofiled = True
            return tmp

        def _register(self, decoded_tuple):
            d_type, array = decoded_tuple
            if d_type == 'mz':
                self._mz = array
            elif d_type == 'i':
                self._i = array
            elif d_type == 'time':
                self._time = array
            else:
                raise Exception('Unknown data Type ({0})'.format(d_type))

        def _mz_2_mass(self, mz, charge):
            """
            Calculate the uncharged mass for a given mz value

            Arguments:
                mz (float)  : m/z value
                charge(int) : charge

            Returns:
                mass (float): Returns mass of a given m/z value
            """
            return ((mz - PROTON) * charge)

        def _set_params_from_reference_group(self, ref_element):
            ref = self.element.find('{ns}referenceableParamGroupRef'.format(
                ns=self.ns
            ))
            if ref is not None:
                ref = ref.get('ref')
            ele = ref_element.find(".//*[@id='{ref}']".format(
                ref=ref,
                ns=self.ns
            ))
            if ele is not None and ref == ele.get('id'):
                for param in ele.getiterator():
                    self.element.append(ele)
                    acc = param.get('accession')
        # Public functions

        def reduce(self, mz_range=(None, None)):
            """
            Remove all m/z values outside the given range.

            Arguments:
                mz_range (tuple): tuple of min, max values

            Returns:
                peaks (list): list of mz, i tuples in the given range.
            """
            assert isinstance(mz_range, tuple), \
                "Require tuple of (min,max) mz range to reduce spectrum"
            if mz_range != (None, None):
                tmp_peaks = []
                for mz, i in self.peaks( 'raw' ):
                    if mz < mz_range[0]:
                        continue
                    elif mz > mz_range[1]:
                        break
                    else:
                        tmp_peaks.append((mz, i))
                self.set_peaks(tmp_peaks, 'raw')
            return self.peaks( 'raw' )

        def remove_noise(self, mode='median', noise_level=None):
            """
            Function to remove noise from peaks, centroided peaks and reprofiled
            peaks.

            Keyword arguments:
                    mode (str): define mode for removing noise. Default = "median"
                    (other modes: "mean", "mad")
                noise_level (float): noise threshold

            Returns:
                reprofiled peaks (list): Returns a list with tuples of
                m/z-intensity pairs above the noise threshold

            """
            # Thanks to JD Hogan for pointing it out!
            callPeaks     = self.peaks('raw')
            callcentPeaks = self.peaks('centroided')
            if noise_level is None:
                noise_level = self.estimated_noise_level(mode=mode)
            if self._peak_dict['centroided'] is not None:
                self._peak_dict['centroided'] = [
                    (mz, i) for mz, i in self.peaks('centroided') if i >= noise_level
                ]
            if self._peak_dict['raw'] is not None:
                self._peak_dict['raw'] = [(mz, i) for mz, i in self.peaks('raw') if i >= noise_level]
            self._peak_dict['reprofiled'] = None
            return self

        def estimated_noise_level(self, mode='median'):
            """
            Calculates noise threshold for function remove_noise.

            Different modes are available. Default is 'median'

            Keyword Arguments:
                mode (str): define mode for removing noise. Default = "median"
                    (other modes: "mean", "mad")

            Returns:
                noise_level (float): estimate noise threshold

            """
            if self.peaks('centroided') == []:  # or is None?
                return_value = 0

            self.noise_level_estimate = {}
            if mode not in self.noise_level_estimate.keys():
                if mode == 'median':
                    self.noise_level_estimate['median'] = self._median(
                        [ i for mz, i in self.peaks('centroided')]
                    )
                elif mode == 'mad':
                    median = self.estimated_noise_level(mode='median')
                    self.noise_level_estimate['mad'] = self._median(
                        sorted(
                            [abs(i - median) for mz, i in self.peaks('centroided')])
                    )
                elif mode == 'mean':
                    self.noise_level_estimate['mean'] = sum(
                        [i for mz, i in self.peaks('centroided')]
                    ) / float(len(self.peaks('centroided')))
                else:
                    print(
                        'dont understand noise level estimation method call', mode
                    )
                return_value = self.noise_level_estimate[mode]
            return return_value

        def highest_peaks(self, n):
            """
            Function to retrieve the n-highest centroided peaks of the spectrum.

            Arguments:
                n (int): number of highest peaks to return.

            Returns:
                centroided peaks (list): list mz, i tupls with n-highest

            Example:

            >>> run = pymzml.run.Reader(
            ...     "tests/data/example.mzML.gz",
            ...      MS_precisions =  {
            ...         1 : 5e-6,
            ...         2 : 20e-6
            ...     }
            ... )
            >>> for spectrum in run:
            ...     if spectrum.ms_level == 2:
            ...         if spectrum.ID == 1770:
            ...             for mz,i in spectrum.highest_peaks(5):
            ...                print(mz, i)

            """
            if self._centroided_peaks_sorted_by_i is None:
                self._centroided_peaks_sorted_by_i = sorted(
                    self.peaks('centroided'), key=itemgetter(1)
                )
            return self._centroided_peaks_sorted_by_i[-n:]

        def ppm2abs(self, value, ppm_value, direction=1, factor=1):
            """
            Returns the value plus (or minus, dependent on direction) the
            error (measured precision ) for this value.

            Arguments:
                value (float)   : m/z value
                ppm_value (int)  : ppm value

            Keyword Arguments:
                direction (int) : plus or minus the considered m/z value.
                    The argument *direction* should be 1 or -1
                factor (int)    : multiplication factor for the imprecision.
                    The argument *factor* should be bigger than 0

            Returns:
                imprecision (float): imprecision for the given value

            """
            result = value + (value * (ppm_value * factor)) * direction
            return result

        def extreme_values(self, key):
            """
            Find extreme values, minimal and maximum m/z and intensity

            Arguments:
                key (str)       : m/z : "mz" or  intensity : "i"

            Returns:
                extrema (tuple) : tuple of minimal and maximum m/z or intensity

            """
            if key not in ['mz', 'i']:
                print("Dont understand extreme request ")
            if self._extreme_values is None:
                self._extreme_values = {}
            try:
                if key == 'mz':
                    self._extreme_values['mz'] = (
                        min([mz for mz, i in self.peaks('raw')]),
                        max([mz for mz, i in self.peaks('raw')])
                    )
                else:
                    self._extreme_values['i']  = (
                        min([i for mz, i in self.peaks('raw')]),
                        max([i for mz, i in self.peaks('raw')])
                    )
            except ValueError:
                # emtpy spectrum
                self._extreme_values[key] = ()
            return self._extreme_values[key]

        def has_peak(self, mz2find):
            """
            Checks if a Spectrum has a certain peak.
            Requires a m/z value as input and returns a list of peaks if the m/z
            value is found in the spectrum, otherwise ``[]`` is returned.
            Every peak is a tuple of m/z and intensity.

            Note:
                Multiple peaks may be found, depending on the defined precisions

            Arguments:
                mz2find (float): m/z value which should be found

            Returns:
                peaks (list): list of m/z, i tuples

            Example:

            >>> import pymzml
            >>> example_file = 'tests/data/example.mzML'
            >>> run = pymzml.run.Reader(
            ...     example_file,
            ...     MS_precisions =  {
            ...         1 : 5e-6,
            ...         2 : 20e-6
            ...     }
            ... )
            >>> for spectrum in run:
            ...     if spectrum.ms_level == 2:
            ...             peak_to_find = spectrum.has_peak(1016.5404)
            ...             print(peak_to_find)
            [(1016.5404, 19141.735187697403)]

            """
            value = self.transform_mz(mz2find)
            return self.transformed_mz_with_error[value]

        def has_overlapping_peak(self, mz):
            """
            Checks if a spectrum has more than one peak for a given m/z value
            and within the measured precision

            Arguments:
                mz (float): m/z value which should be checked

            Returns:
                Boolean (bool): Returns ``True`` if a nearby peak is detected,
                otherwise ``False``
            """
            for minus_or_plus in [-1, 1]:
                target = self.ppm2abs(
                    mz, self.measured_precision, minus_or_plus, 1
                )
                temp = self.has_peak(self.ppm2abs(mz, self.measured_precision))
                if temp and len(temp) > 1:
                    return True
            return False

        def similarity_to(self, spec2, round_precision=0):
            """
            Compares two spectra and returns cosine

            Arguments:
                spec2 (Spectrum): another pymzml spectrum that is compared to the
                    current spectrum.

            Keyword Arguments:
                round_precision (int): precision mzs are rounded to, i.e. round( mz,
                    round_precision )

            Returns:
                cosine (float): value between 0 and 1, i.e. the cosine between the
                    two spectra.

            Note:
                Spectra data is transformed into an n-dimensional vector,
                where m/z values are binned in bins of 10 m/z and the intensities
                are added up. Then the cosine is calculated between those two
                vectors. The more similar the specs are, the closer the value is
                to 1.
            """
            assert isinstance(spec2, Spectrum), \
                "Spectrum2 is not a pymzML spectrum"

            vector1 = ddict(int)
            vector2 = ddict(int)
            mzs = set()
            for mz, i in self.peaks('raw'):
                vector1[round(mz, round_precision)] += i
                mzs.add(round(mz, round_precision))
            for mz, i in spec2.peaks('raw'):
                vector2[round(mz, round_precision)] += i
                mzs.add(round(mz, round_precision))

            z = 0
            n_v1 = 0
            n_v2 = 0

            for mz in mzs:
                int1 = vector1[mz]
                int2 = vector2[mz]
                z += int1 * int2
                n_v1 += int1 * int1
                n_v2 += int2 * int2
            try:
                cosine = z / (math.sqrt(n_v1) * math.sqrt(n_v2))
            except:
                cosine = 0.0
            return cosine

        def transform_mz(self, value):
            """
            pymzml uses an internal precision for different tasks. This precision
            depends on the measured precision and is calculated when
            :py:attr:`spec.Spectrum.measured_precision` is invoked. transform_mz
            can be used to transform m/z values into the internal standard.

            Arguments:
                value (float): m/z value

            Returns:
                transformed value (float): to internal standard transformed mz
                value this value can be used to probe internal dictionaries,
                lists or sets, e.g. :func:`pymzml.spec.Spectrum.t_mz_set`

            Example:

                >>> import pymzml
                >>> run = pymzml.run.Reader(
                ...     "test.mzML.gz" ,
                ...     MS_precisions =  {
                ...         1 : 5e-6,
                ...         2 : 20e-6
                ...     }
                ... )
                >>>
                >>> for spectrum in run:
                ...     if spectrum.ms_level == 2:
                ...         peak_to_find = spectrum.has_deconvoluted_peak(
                ...             1044.5804
                ...         )
                ...         print(peak_to_find)
                [(1044.5596, 3809.4356300564586)]

            """
            return int(round(value * self.internal_precision))

        def deprecation_warning(self, function_name):
            deprecation_lookup = {
                'similarityTo'        : 'similarity_to',
                'hasPeak'             : 'has_peak',
                'extremeValues'       : 'extreme_values',
                'transformMZ'         : 'transform_mz',
                'hasOverlappingPeak'  : 'has_overlapping_peak',
                'highestPeaks'        : 'highest_peaks',
                'estimatedNoiseLevel' : 'estimated_noise_level',
                'removeNoise'         : 'remove_noise',
                'newPlot'             : 'new_plot',
                'centroidedPeaks'     : 'peaks'
            }
            print(
                '''
                Function: "{0}" deprecated since version 1.0.0, please use new function: "{1}"
                '''.format(
                    function_name,
                    deprecation_lookup.get(
                        function_name,
                        'not_defined_yet'
                    )
                )
            )

        def similarityTo(self, spec2, round_precision=0):
            self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.similarity_to( spec2, round_precision = round_precision)

        def hasPeak(self, mz):
            self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.has_peak( mz )

        def extremeValues(self, key):
            self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.extreme_values( key )

        def transformMZ(self, value):
            self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.transform_mz( value )

        def hasOverlappingPeak(self, mz):
            self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.has_overlapping_peak( mz )

        def highestPeaks(self,n):
            self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.highest_peaks(n)

        def estimatedNoiseLevel(self, mode = 'median'):
            self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.estimated_noise_level( mode = mode )

        def removeNoise(self, mode = 'median', noiseLevel = None):
            self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.remove_noise( mode = mode, noise_level = noiseLevel )

        @property
        def centroidedPeaks(self):
            # self.deprecation_warning( sys._getframe().f_code.co_name )
            return self.peaks('centroided')

    class Chromatogram(MS_Spectrum):
        """
        Class for Chromatogram access and handling.
        """
        def __init__(self, element, measured_precision=5e-6, param=None):
            """
            Arguments:
                element (xml.etree.ElementTree.Element): spectrum as xml Element

            Keyword Arguments:
                measured_precision (float): in ppm, i.e. 5e-6 equals to 5 ppm.
                param (dict): parameter mapping for this spectrum
            """

            __slots__ = [
                "_measured_precision",
                "element",
                "noise_level_estimate",
                "_time",
                "_i",
                "_t_mass_set",
                "_peaks",
                "_t_mz_set",
                "_centroided_peaks",
                "_reprofiled_peaks",
                "_deconvoluted_peaks",
                "_profile",
                "_extreme_values",
                "_centroided_peaks_sorted_by_i",
                "_transformed_mz_with_error",
                "_transformed_mass_with_error",
                "_precursors",
                "_ID",
                "internal_precision"
            ]

            self._measured_precision            = measured_precision
            self.element                       = element
            self.noise_level_estimate          = {}
            # Property variables
            self._time                         = None
            self._ms_level                     = None
            self._i                            = None
            self._t_mass_set                   = None
            self._peaks                        = None
            self._t_mz_set                     = None
            self._centroided_peaks             = None
            self._reprofiled_peaks             = None
            self._deconvoluted_peaks           = None
            self._profile                      = None
            self._extreme_values               = None
            self._centroided_peaks_sorted_by_i = None
            self._transformed_mz_with_error    = None
            self._transformed_mass_with_error  = None
            self._precursors                   = None
            self._ID                           = None

            if self.element:
                # self._read_accessions()
                self.ns = re.match(
                    '\{.*\}', element.tag
                ).group(0) if re.match('\{.*\}', element.tag) else ''
                # self._ns_paths            = {
                #     'mz'      : "{ns}binaryDataArrayList/" \
                #                 "{ns}binaryDataArray/" \
                #                 "{ns}cvParam[@accession='{Acc}']/..".format(
                #                     ns=self.ns,
                #                     Acc=self.accessions['time array']
                #             ),
                #     'i'       : "{ns}binaryDataArrayList/" \
                #                 "{ns}binaryDataArray/" \
                #                 "{ns}cvParam[@accession='{Acc}']/..".format(
                #                         ns=self.ns,
                #                         Acc=self.accessions['intensity array']
                #                 ),
                #     'time'    : "{ns}binaryDataArrayList/" \
                #                 "{ns}binaryDataArray/" \
                #                 "{ns}cvParam[@accession='{Acc}']/..".format(
                #                         ns=self.ns,
                #                         Acc=self.accessions['time array']
                #                 ),
                #     'float_type' : "./{ns}cvParam[@accession='{Acc}']"
                # }

            # TODO make everything numpy compatible
            if globals()['__NP'] is not None:
                self._decode = self._decode_to_numpy
                # assign function to create numpy array to list???
                self._array  = np.array
            else:
                self._array  = list
                self._decode = self._decode_to_tuple

        def __repr__(self):
            """
            """
            return '<__main__.Chromatogram object with native ID {0} at {1}>'.format(self.ID ,hex(id(self)))

        def __str__(self):
            """
            """
            return '<__main__.Chromatogram object with native ID {0} at {1}>'.format(self.ID ,hex(id(self)))

        @property
        def ID(self):
            if self._ID is None:
                self._ID = self.element.get('id')
            return self._ID

        @property
        def mz(self):
            ''''''
            print('Chromatogram has no property mz.\nReturn retention time instead')
            return self.time

        @property
        def time(self):
            """
            Returns the list of time values. If the time values are encoded, the
            function _decode() is used to decode the encoded data.\n
            The time property can also be set, e.g. for theoretical data.
            However, it is recommended to use the profile property to set time and
            intensity tuples at same time.

            Returns:
                time (list): list of time values from the analyzed chromatogram

            """
            if self._time is None:
                params = self._get_encoding_parameters(
                        'time array'
                    )
                self._time = self._decode(*params)
            return self._time

        @property
        def i(self):
            if self._i is None:
                params = self._get_encoding_parameters(
                    'intensity array'
                )
                self._i = self._decode(*params)
            return self._i

        @property
        def profile(self):
            """
            Returns the list of peaks of the chromatogram as tuples (time, intensity).

            Returns:
                peaks (list): list of time, i tuples

            Example:

            >>> import pymzml
            >>> run = pymzml.run.Reader(
            ...     spectra.mzMl.gz,
            ...     MS_precisions = {
            ...         1 : 5e-6,
            ...         2 : 20e-6
            ...     }
            ... )
            >>> for entry in run:
            ...     if isinstance(entry, Chromatogram):
            ...         for time, intensity in entry.peaks:
            ...             print(time, intensity)

            Note:
               The peaks property can also be set, e.g. for theoretical data.
               It requires a list of time/intensity tuples.

            """
            if self._profile is None:
                if self._time is None and self._i is None:
                    self._profile = []
                    for pos, t in enumerate(self.time):
                        self._profile.append([t, self.i[pos]])
                        # much faster than zip ... list(zip(self.mz, self.i))
                elif self._time is not None and self._i is not None:
                    self._profile = []
                    for pos, t in enumerate(self.time):
                        self._profile.append([t, self.i[pos]])
                elif self._profile is None:
                    self._profile = []
            return self._array(self._profile)

        @profile.setter
        def profile(self, tuple_list):
            if len(tuple_list) == 0:
                return
            # self._mz, self._i = map(list, zip(*tuple_list))
            # same here .. zip is soooooo slow :)
            self._time = []
            self._i = []
            for time, i in tuple_list:
                self._time.append( time )
                self._i.append( i )
            self._peaks = tuple_list
            self._reprofiledPeaks = None
            self._centroidedPeaks = None
            return self

        def peaks(self):
            """
            Return the list of peaks of the spectrum as tuples (time, intensity).

            Returns:
                peaks (list): list of time, intensity tuples

            Example:

            >>> import pymzml
            >>> run = pymzml.run.Reader(
            ...     spectra.mzMl.gz,
            ...     MS_precisions =  {
            ...         1 : 5e-6,
            ...         2 : 20e-6
            ...     }
            ... )
            >>> for entry in run:
            ...     if isinstance(entry, pymzml.spec.Chromatogram):
            ...         for time, intensity in entry.peaks:
            ...             print(time, intensity)

            Note:
               The peaks property can also be set, e.g. for theoretical data.
               It requires a list of time/intensity tuples.

            """
            return self.profile