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/usr/lib/python2.7/dist-packages/PyMca/PyMcaEPDL97.py is in pymca 4.7.1+dfsg-2.

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#/*##########################################################################
# Copyright (C) 2004-2012 European Synchrotron Radiation Facility
#
# This file is part of the PyMca X-ray Fluorescence Toolkit developed at
# the ESRF by the Software group.
#
# This file is free software; you can redistribute it and/or modify it
# under the terms of the GNU Lesser General Public License as published by the
# Free Software Foundation; either version 2 of the License, or (at your option)
# any later version.
#
# This file 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 Lesser General Public License for more
# details.
#
#############################################################################*/
__author__ = "V.A. Sole - ESRF Data Analysis"
__doc__= "Interface to the PyMca EPDL97 description" 
import os
import sys
try:
    from PyMca import specfile
except ImportError:
    #this is needed for frozen versions
    print("PyMcaEPDL97.py is importing specfile from local directory")
    import specfile
from PyMca import PyMcaDataDir
import numpy
log = numpy.log
exp = numpy.exp
ElementList = ['H', 'He', 
            'Li', 'Be', 'B', 'C', 'N', 'O', 'F', 'Ne',
            'Na', 'Mg', 'Al', 'Si', 'P', 'S', 'Cl', 'Ar',
            'K', 'Ca', 'Sc', 'Ti', 'V', 'Cr', 'Mn', 'Fe',
            'Co', 'Ni', 'Cu', 'Zn', 'Ga', 'Ge', 'As', 'Se',
            'Br', 'Kr', 'Rb', 'Sr', 'Y', 'Zr', 'Nb', 'Mo',
            'Tc', 'Ru', 'Rh', 'Pd', 'Ag', 'Cd', 'In', 'Sn',
            'Sb', 'Te', 'I', 'Xe', 'Cs', 'Ba', 'La', 'Ce',
            'Pr', 'Nd', 'Pm', 'Sm', 'Eu', 'Gd', 'Tb', 'Dy', 
            'Ho', 'Er', 'Tm', 'Yb', 'Lu', 'Hf', 'Ta', 'W', 
            'Re', 'Os', 'Ir', 'Pt', 'Au', 'Hg', 'Tl', 'Pb', 
            'Bi', 'Po', 'At', 'Rn', 'Fr', 'Ra', 'Ac', 'Th', 
            'Pa', 'U', 'Np', 'Pu', 'Am', 'Cm', 'Bk', 'Cf', 
            'Es', 'Fm', 'Md', 'No', 'Lr', 'Rf', 'Db', 'Sg', 
            'Bh', 'Hs', 'Mt']

dirmod = PyMcaDataDir.PYMCA_DATA_DIR 
EPDL97_FILE = os.path.join(dirmod,"EPDL97_CrossSections.dat")
if not os.path.exists(EPDL97_FILE):
    #freeze does bad things with the path ...
    dirmod = os.path.dirname(dirmod)
    EPDL97_FILE = os.path.join(dirmod,
                               os.path.basename(EPDL97_FILE))
    if not os.path.exists(EPDL97_FILE):
        if dirmod.lower().endswith(".zip"):
            dirmod = os.path.dirname(dirmod)
            EPDL97_FILE = os.path.join(dirmod,
                               os.path.basename(EPDL97_FILE))
    if not os.path.exists(EPDL97_FILE):
        raise IOError("Cannot find the EPDL97 specfile")

EADL97_FILE = os.path.join(dirmod,"EADL97_BindingEnergies.dat")
if not os.path.exists(EADL97_FILE):
    #freeze does bad things with the path ...
    EADL97_FILE = os.path.join(os.path.dirname(dirmod),
                               os.path.basename(EADL97_FILE))
    if not os.path.exists(EADL97_FILE):
        raise IOError("Cannot find the EADL97 specfile")


EPDL97_DICT = {}
for element in ElementList:
    EPDL97_DICT[element] = {}

#initialize the dictionnary, for the time being compatible with PyMca 4.3.0
EPDL97_DICT = {}
for element in ElementList:
    EPDL97_DICT[element] = {}
    EPDL97_DICT[element]['binding'] = {}
    EPDL97_DICT[element]['EPDL97']  = {}
    EPDL97_DICT[element]['original'] = True

#fill the dictionnary with the binding energies
def _initializeBindingEnergies():
    #read the specfile data
    sf = specfile.Specfile(EADL97_FILE)
    scan = sf[0]
    labels = scan.alllabels()
    data = scan.data()
    scan = None
    sf = None
    i = -1
    for element in ElementList:
        if element == 'Md':
            break
        i += 1
        EPDL97_DICT[element]['binding'] = {}
        for j in range(len(labels)):
            if j == 0:
                #this is the atomic number
                continue
            label = labels[j].replace(" ","").split("(")[0]
            EPDL97_DICT[element]['binding'][label] = data[j, i]

_initializeBindingEnergies()

def setElementBindingEnergies(element, ddict):
    """
    Allows replacement of the element internal binding energies by a different
    set of energies. This is made to force this implementaticon of EPDL97 to
    respect other programs absorption edges. Data will be extrapolated when
    needed. WARNING: Coherent resonances are not replaced.
    """
    if len(EPDL97_DICT[element]['EPDL97'].keys()) < 2:
        _initializeElement(element)
    EPDL97_DICT[element]['original'] = False
    EPDL97_DICT[element]['binding']={}
    if 'binding' in ddict:
        EPDL97_DICT[element]['binding'].update(ddict['binding'])
    else:
        EPDL97_DICT[element]['binding'].update(ddict)

def _initializeElement(element):
    """
    _initializeElement(element)
    Supposed to be of internal use.
    Reads the file and loads all the relevant element information contained
    int the EPDL97 file into the internal dictionnary.
    """
    #read the specfile data
    sf = specfile.Specfile(EPDL97_FILE)
    scan_index = ElementList.index(element)
    if scan_index > 99:
        #just to avoid a crash
        #I do not expect any fluorescent analysis of these elements ...
        scan_index = 99
    scan = sf[scan_index]
    labels = scan.alllabels()
    data = scan.data()
    scan = None

    #fill the information into the dictionnary
    i = -1
    for label0 in labels:
        i += 1
        label = label0.lower()
        #translate the label to the PyMca keys
        if ('coherent' in label) and ('incoherent' not in label):
            EPDL97_DICT[element]['EPDL97']['coherent'] = data[i, :]
            EPDL97_DICT[element]['EPDL97']['coherent'].shape = -1
            continue
        if ('incoherent' in label) and ('plus' not in label):
            EPDL97_DICT[element]['EPDL97']['compton'] = data[i, :]
            EPDL97_DICT[element]['EPDL97']['compton'].shape = -1
            continue
        if 'allother' in label:
            EPDL97_DICT[element]['EPDL97']['all other'] = data[i, :]
            EPDL97_DICT[element]['EPDL97']['all other'].shape = -1
            continue
        label = label.replace(" ","").split("(")[0]
        if 'energy' in label:
            EPDL97_DICT[element]['EPDL97']['energy'] = data[i, :]
            EPDL97_DICT[element]['EPDL97']['energy'].shape = -1
            continue
        if 'photoelectric' in label:
            EPDL97_DICT[element]['EPDL97']['photo'] = data[i, :]
            EPDL97_DICT[element]['EPDL97']['photo'].shape = -1
            #a reference should not be expensive ...
            EPDL97_DICT[element]['EPDL97']['photoelectric'] =\
                                EPDL97_DICT[element]['EPDL97']['photo']
            continue
        if 'total' in label:
            EPDL97_DICT[element]['EPDL97']['total'] = data[i, :]
            EPDL97_DICT[element]['EPDL97']['total'].shape = -1
            continue
        if label[0].upper() in ['K', 'L', 'M']:
            #for the time being I do not use the other shells in PyMca
            EPDL97_DICT[element]['EPDL97'][label.upper()] = data[i, :]
            EPDL97_DICT[element]['EPDL97'][label.upper()].shape = -1
            continue
    EPDL97_DICT[element]['EPDL97']['pair'] = 0.0 *\
                                             EPDL97_DICT[element]['EPDL97']['energy']
    EPDL97_DICT[element]['EPDL97']['photo'] = \
            EPDL97_DICT[element]['EPDL97']['total'] -\
            EPDL97_DICT[element]['EPDL97']['compton']-\
            EPDL97_DICT[element]['EPDL97']['coherent']-\
            EPDL97_DICT[element]['EPDL97']['pair']

    atomic_shells = ['M5', 'M4', 'M3', 'M2', 'M1', 'L3', 'L2', 'L1', 'K']

    # with the new (short) version of the cross-sections file, "all other" contains all
    # shells above the M5. Nevertheless, we calculate it
    if scan_index > 17:
        idx = EPDL97_DICT[element]['EPDL97']['all other'] > 0.0
        delta = 0.0
        for key in atomic_shells:
            delta += EPDL97_DICT[element]['EPDL97'][key]
        EPDL97_DICT[element]['EPDL97']['all other'] =\
                        (EPDL97_DICT[element]['EPDL97']['photo'] - delta) * idx
    else:
        EPDL97_DICT[element]['EPDL97']['all other'] = 0.0 * \
                        EPDL97_DICT[element]['EPDL97']['photo']

    #take care of rounding problems
    idx = EPDL97_DICT[element]['EPDL97']['all other'] < 0.0
    EPDL97_DICT[element]['EPDL97']['all other'][idx] = 0.0
    
    
def getElementCrossSections(element, energy=None, forced_shells=None):
    """
    getElementCrossSections(element, energy, forced_shells=None)
    Returns total and partial cross sections of element at the specified
    energies. If forced_shells are not specified, it uses the internal
    binding energies of EPDL97 for all shells. If forced_shells is specified,
    it enforces excitation of the relevant shells via log-log extrapolation
    if needed.
    """
    if forced_shells is None:
        forced_shells = []
    if element not in ElementList:
        raise ValueError("Invalid chemical symbol %s" % element)
    if len(EPDL97_DICT[element]['EPDL97'].keys()) < 2:
        _initializeElement(element)

    if energy is None and EPDL97_DICT[element]['original']:
        return EPDL97_DICT[element]['EPDL97']
    elif energy is None:
        energy = EPDL97_DICT[element]['EPDL97']['energy']

    try:
        n = len(energy)
    except TypeError:
        energy = numpy.array([energy])        
    if type(energy) in [type(1), type(1.0)]:
        energy = numpy.array([energy])
    elif type(energy) in [type([]), type((1,))]:
        energy = numpy.array(energy)

    binding = EPDL97_DICT[element]['binding']
    wdata = EPDL97_DICT[element]['EPDL97']
    ddict = {}
    ddict['energy']     = energy
    ddict['coherent']   = 0.0 * energy
    ddict['compton']    = 0.0 * energy
    ddict['photo']      = 0.0 * energy
    ddict['pair']       = 0.0 * energy
    ddict['all other']  = 0.0 * energy
    ddict['total']      = 0.0 * energy
    atomic_shells = ['M5', 'M4', 'M3', 'M2', 'M1', 'L3', 'L2', 'L1', 'K']
    for key in atomic_shells:
        ddict[key] = 0.0 * energy

    #find interpolation point
    len_energy = len(energy)
    for i in range(len_energy):
        x = energy[i]
        if x > wdata['energy'][-2]:
            #take last value or extrapolate?
            print("Warning: Extrapolating data at the end")
            j1 = len(wdata['energy']) - 1 
            j0 = j1 - 1
        elif x <= wdata['energy'][0]:
            #take first value or extrapolate?
            print("Warning: Extrapolating data at the beginning")
            j1 = 1 
            j0 = 0
        else:
            j0 = numpy.max(numpy.nonzero(wdata['energy'] < x), axis=1)
            j1 = j0 + 1
        x0 = wdata['energy'][j0]
        x1 = wdata['energy'][j1]
        if x == x1:
            if (j1 + 1 ) < len(wdata['energy']):
                if x1 == wdata['energy'][j1 + 1]:
                    j0 = j1
                    j1 += 1
                    x0 = wdata['energy'][j0]
                    x1 = wdata['energy'][j1]

        #coherent and incoherent
        for key in ['coherent', 'compton', 'pair', 'all other']:
            if (j0 == j1) or ((x1 - x0) < 5.E-10) or ((x1 - x) < 5.E-10) :
                ddict[key][i] =  wdata[key][j1]
            else:
                y0 = wdata[key][j0]
                y1 = wdata[key][j1]
                if (y0 > 0) and (y1 > 0):
                    ddict[key][i] = exp((log(y0) * log(x1/x) +\
                                     log(y1) * log(x/x0))/log(x1/x0))
                elif (y1 > 0) and ((x-x0) > 1.E-5):
                    ddict[key][i] = exp((log(y1) * log(x/x0))/log(x1/x0))
            

        #partial cross sections
        for key in atomic_shells:
            y0 = wdata[key][j0]
            if (y0 > 0.0) and (x >= binding[key]):
                #standard way
                y1 = wdata[key][j1]
                ddict[key][i] = exp((log(y0) * log(x1/x) +\
                                 log(y1) * log(x/x0))/log(x1/x0))
            elif (forced_shells == []) and (x < binding[key]):
                continue
            elif (key in forced_shells) or (x >= binding[key]):
                l = numpy.nonzero(wdata[key] > 0.0)
                if not len(l[0]):
                    continue
                j00 = numpy.min(l)
                j01 = j00 + 1
                x00 = wdata['energy'][j00]
                x01 = wdata['energy'][j01]
                y0 = wdata[key][j00]
                y1 = wdata[key][j01]
                ddict[key][i] = exp((log(y0) * log(x01/x) +\
                                 log(y1) * log(x/x00))/log(x01/x00))
                                    
        for key in ['all other'] + atomic_shells:            
            ddict['photo'][i] += ddict[key][i]

        for key in ['coherent', 'compton', 'photo']:
            ddict['total'][i] += ddict[key][i]
    for key in ddict.keys():
        ddict[key] = ddict[key].tolist()
    return ddict        


def getPhotoelectricWeights(element, shelllist, energy, normalize = None, totals = None):
    """
    getPhotoelectricWeights(element,shelllist,energy,normalize=None,totals=None)
    Given a certain list of shells and one excitation energy, gives back the ratio
    mu(shell, energy)/mu(energy) where mu refers to the photoelectric mass attenuation
    coefficient.
    The special shell "all others" refers to all the shells not in the K, L or M groups.
    Therefore, valid values for the items in the shellist are:
        'K', 'L1', 'L2', 'L3', 'M1', 'M2', 'M3', 'M4', 'M5', 'all other'
    For instance, for the K shell, it is the equivalent of (Jk-1)/Jk where Jk is the k jump.
    If normalize is None or True, normalizes the output to the shells given in shelllist.
    If totals is True, gives back the a dictionnary with all the mass attenuation coefficients
    used in the calculations.
    """
    if normalize is None:
        normalize = True
        
    if totals is None:
        totals = False

    #it is not necessary to force shells because the proper way to work is to force this
    #module to respect a given set of binding energies.
    ddict = getElementCrossSections(element, energy=energy, forced_shells=None)

    w = []
    d = ddict['photo'][0]
    for key in shelllist:
        if d > 0.0:
            wi = ddict[key][0]/d
        else:
            wi = 0.0
        w += [wi]

    if normalize:
        total = sum(w)
        for i in range(len(w)):
            if total > 0.0:
                w[i] = w[i]/total
            else:
                w[i] = 0.0

    if totals:
        return w, ddict
    else:
        return w