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remanence_anisotropy_magic.py
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remanence_anisotropy_magic.py
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#!/usr/bin/env python
import matplotlib
#matplotlib.use('WXAgg')
import sys,pylab,scipy,os
from pylab import *
import pmag
def main():
"""
NAME
remanence_aniso_magic.py
DESCRIPTION
This program is similar to aarm_magic.py and atrm_magic.py with minor modifications.
Converts magic measurement file with ATRM/AARM data to best-fit tensor (6 elements plus sigma)
following Hext (1963), and calculates F-test statistics.
Comments:
- infield steps are marked with method codes LT-T-I:LP-AN-TRM; LT-AF-I:LP-AN-ARM
- zerofield steps are marked with method codes LT-T-Z:LP-AN-TRM; LT-AF-Z:LP-AN-ARM
- alteration check is marked with method codes LT-PTRM-I:LP-AN-TRM
please notice;
- ATRM: The program uses treatment_dc_field_phi/treatment_dc_field_theta columns to infer the direction of the applied field
(this is a change from atrm_magic.py)
- ATRM: zerofield (baseline) magnetization is subtructed from all infield measurements
- AARM: The program uses measurement number (running number) to to infer the direction of the applied field
assuming the SIO protocol for 6,9,15 measurements scheme.
See cookbook for diagram and details.
- AARM: zerofield (baseline) are assumed to be before any infield, and the baseline is subtructed from the
subsequent infield magnetization.
SYNTAX
remanence_aniso_magic.py [-h] [command line options]
OPTIONS
-h prints help message and quits
-f FILE: specify input file, default is magic_measurements.txt
INPUT
magic measurement file with ATRM and/or AARM data.
if both types of measurements exist then the program calculates both.
OUTPUT
rmag_anisotropy.log
-I- information
-W- Warning
-E- Error
rmag_anistropy.txt:
This file contains in addition to some some magic information the following:
- anistropy tensor s1 to s6 normalized by the trace:
|Mx| |s1 s4 s6| |Bx|
|My| = |s4 s2 s5| . |By|
|Mz| |s6 s5 s3| |Bz|
- anisotropy_sigma (Hext, 1963)
- anisotropy_alt (altertion check for ATRM in units of %):
100* [abs(M_first-Mlast)/max(M_first,M_last)]
-
rmag_results.txt:
This file contains in addition to some magic information the follow(ing:
- anisotropy_t1,anisotropy_t2,anisotropy_t3 : eigenvalues
- anisotropy_v*_dec,anisotropy_v*_inc: declination/inclination of the eigenvectors
- anisotropy_ftest,anisotropy_ftest12,anisotropy_ftest13
- (the crtical F for 95% confidence level of anistropy is given in result_description column).
"""
#==================================================================================
meas_file="magic_measurements.txt"
args=sys.argv
dir_path='.'
#
# get name of file from command line
#
if '-WD' in args:
ind=args.index('-WD')
dir_path=args[ind+1]
if "-h" in args:
print main.__doc__
sys.exit()
if "-f" in args:
ind=args.index("-f")
meas_file=sys.argv[ind+1]
else:
meas_file=dir_path+'/'+meas_file
WD=dir_path
#======================================
# functions
#======================================
def get_Data(magic_file):
#------------------------------------------------
# Read magic measurement file and sort to blocks
#------------------------------------------------
Data={}
try:
meas_data,file_type=pmag.magic_read(magic_file)
except:
print "-E- ERROR: Cant read magic_measurement.txt file. File is corrupted."
return Data
# get list of unique specimen names
#sids=pmag.get_specs(meas_data) # samples ID's
for rec in meas_data:
s=rec["er_specimen_name"]
method_codes= rec["magic_method_codes"].strip('\n')
method_codes.replace(" ","")
methods=method_codes.split(":")
if "LP-AN-TRM" in methods:
if s not in Data.keys():
Data[s]={}
if 'atrmblock' not in Data[s].keys():
Data[s]['atrmblock']=[]
Data[s]['atrmblock'].append(rec)
if "LP-AN-ARM" in methods:
if s not in Data.keys():
Data[s]={}
if 'aarmblock' not in Data[s].keys():
Data[s]['aarmblock']=[]
Data[s]['aarmblock'].append(rec)
return (Data)
#======================================
# better to put this one in pmagpy
#======================================
def calculate_aniso_parameters(B,K):
aniso_parameters={}
S_bs=dot(B,K)
# normalize by trace
trace=S_bs[0]+S_bs[1]+S_bs[2]
S_bs=S_bs/trace
s1,s2,s3,s4,s5,s6=S_bs[0],S_bs[1],S_bs[2],S_bs[3],S_bs[4],S_bs[5]
s_matrix=[[s1,s4,s6],[s4,s2,s5],[s6,s5,s3]]
# calculate eigen vector,
t,evectors=eig(s_matrix)
# sort vectors
t=list(t)
t1=max(t)
ix_1=t.index(t1)
t3=min(t)
ix_3=t.index(t3)
for tt in range(3):
if t[tt]!=t1 and t[tt]!=t3:
t2=t[tt]
ix_2=t.index(t2)
v1=[evectors[0][ix_1],evectors[1][ix_1],evectors[2][ix_1]]
v2=[evectors[0][ix_2],evectors[1][ix_2],evectors[2][ix_2]]
v3=[evectors[0][ix_3],evectors[1][ix_3],evectors[2][ix_3]]
DIR_v1=pmag.cart2dir(v1)
DIR_v2=pmag.cart2dir(v2)
DIR_v3=pmag.cart2dir(v3)
aniso_parameters['anisotropy_s1']="%f"%s1
aniso_parameters['anisotropy_s2']="%f"%s2
aniso_parameters['anisotropy_s3']="%f"%s3
aniso_parameters['anisotropy_s4']="%f"%s4
aniso_parameters['anisotropy_s5']="%f"%s5
aniso_parameters['anisotropy_s6']="%f"%s6
aniso_parameters['anisotropy_degree']="%f"%(t1/t3)
aniso_parameters['anisotropy_t1']="%f"%t1
aniso_parameters['anisotropy_t2']="%f"%t2
aniso_parameters['anisotropy_t3']="%f"%t3
aniso_parameters['anisotropy_v1_dec']="%.1f"%DIR_v1[0]
aniso_parameters['anisotropy_v1_inc']="%.1f"%DIR_v1[1]
aniso_parameters['anisotropy_v2_dec']="%.1f"%DIR_v2[0]
aniso_parameters['anisotropy_v2_inc']="%.1f"%DIR_v2[1]
aniso_parameters['anisotropy_v3_dec']="%.1f"%DIR_v3[0]
aniso_parameters['anisotropy_v3_inc']="%.1f"%DIR_v3[1]
# modified from pmagpy:
if len(K)/3==9 or len(K)/3==6 or len(K)/3==15:
n_pos=len(K)/3
tmpH = Matrices[n_pos]['tmpH']
a=s_matrix
S=0.
comp=zeros((n_pos*3),'f')
for i in range(n_pos):
for j in range(3):
index=i*3+j
compare=a[j][0]*tmpH[i][0]+a[j][1]*tmpH[i][1]+a[j][2]*tmpH[i][2]
comp[index]=compare
for i in range(n_pos*3):
d=K[i]/trace - comp[i] # del values
S+=d*d
nf=float(n_pos*3-6) # number of degrees of freedom
if S >0:
sigma=math.sqrt(S/nf)
hpars=pmag.dohext(nf,sigma,[s1,s2,s3,s4,s5,s6])
aniso_parameters['anisotropy_sigma']="%f"%sigma
aniso_parameters['anisotropy_ftest']="%f"%hpars["F"]
aniso_parameters['anisotropy_ftest12']="%f"%hpars["F12"]
aniso_parameters['anisotropy_ftest23']="%f"%hpars["F23"]
aniso_parameters['result_description']="Critical F: %s"%(hpars['F_crit'])
aniso_parameters['anisotropy_F_crit']="%f"%float(hpars['F_crit'])
aniso_parameters['anisotropy_n']=n_pos
return(aniso_parameters)
#======================================
# Main
#======================================
aniso_logfile=open(WD+"/rmag_anisotropy.log",'w')
aniso_logfile.write("------------------------\n")
aniso_logfile.write( "-I- Start rmag anisrotropy script\n")
aniso_logfile.write( "------------------------\n")
Data=get_Data(meas_file)
#try:
# Data=get_Data(meas_file)
#except:
# aniso_logfile.write( "-E- Cant open measurement file %s\n" %meas_file)
# print "-E- Cant open measurement file %s\n exiting" %meas_file
# exit()
aniso_logfile.write( "-I- Open measurement file %s\n" %meas_file)
Data_anisotropy={}
specimens=Data.keys()
specimens.sort()
#-----------------------------------
# Prepare rmag_anisotropy.txt file for writing
#-----------------------------------
rmag_anisotropy_file =open(WD+"/rmag_anisotropy.txt",'w')
rmag_anisotropy_file.write("tab\trmag_anisotropy\n")
rmag_results_file =open(WD+"/rmag_results.txt",'w')
rmag_results_file.write("tab\trmag_results\n")
rmag_anistropy_header=['er_specimen_name','er_sample_name','er_site_name','anisotropy_type','anisotropy_n','anisotropy_description','anisotropy_s1','anisotropy_s2','anisotropy_s3','anisotropy_s4','anisotropy_s5','anisotropy_s6','anisotropy_sigma','anisotropy_alt','magic_experiment_names','magic_method_codes','rmag_anisotropy_name']
String=""
for i in range (len(rmag_anistropy_header)):
String=String+rmag_anistropy_header[i]+'\t'
rmag_anisotropy_file.write(String[:-1]+"\n")
rmag_results_header=['er_specimen_names','er_sample_names','er_site_names','anisotropy_type','magic_method_codes','magic_experiment_names','result_description','anisotropy_t1','anisotropy_t2','anisotropy_t3','anisotropy_ftest','anisotropy_ftest12','anisotropy_ftest23',\
'anisotropy_v1_dec','anisotropy_v1_inc','anisotropy_v2_dec','anisotropy_v2_inc','anisotropy_v3_dec','anisotropy_v3_inc']
String=""
for i in range (len(rmag_results_header)):
String=String+rmag_results_header[i]+'\t'
rmag_results_file.write(String[:-1]+"\n")
#-----------------------------------
# Matrices definitions:
# A design matrix
# B dot(inv(dot(A.transpose(),A)),A.transpose())
# tmpH is used for sigma calculation (9,15 measurements only)
#
# Anisotropy tensor:
#
# |Mx| |s1 s4 s6| |Bx|
# |My| = |s4 s2 s5| . |By|
# |Mz| |s6 s5 s3| |Bz|
#
# A matrix (measurement matrix):
# Each mesurement yields three lines in "A" matrix
#
# |Mi | |Bx 0 0 By 0 Bz| |s1|
# |Mi+1| = |0 By 0 Bx Bz 0 | . |s2|
# |Mi+2| |0 0 Bz 0 By Bx| |s3|
# |s4|
# |s5|
#
#-----------------------------------
Matrices={}
for n_pos in [6,9,15]:
Matrices[n_pos]={}
A=zeros((n_pos*3,6),'f')
if n_pos==6:
positions=[[0.,0.,1.],[90.,0.,1.],[0.,90.,1.],\
[180.,0.,1.],[270.,0.,1.],[0.,-90.,1.]]
if n_pos==15:
positions=[[315.,0.,1.],[225.,0.,1.],[180.,0.,1.],[135.,0.,1.],[45.,0.,1.],\
[90.,-45.,1.],[270.,-45.,1.],[270.,0.,1.],[270.,45.,1.],[90.,45.,1.],\
[180.,45.,1.],[180.,-45.,1.],[0.,-90.,1.],[0,-45.,1.],[0,45.,1.]]
if n_pos==9:
positions=[[315.,0.,1.],[225.,0.,1.],[180.,0.,1.],\
[90.,-45.,1.],[270.,-45.,1.],[270.,0.,1.],\
[180.,45.,1.],[180.,-45.,1.],[0.,-90.,1.]]
tmpH=zeros((n_pos,3),'f') # define tmpH
for i in range(len(positions)):
CART=pmag.dir2cart(positions[i])
a=CART[0];b=CART[1];c=CART[2]
A[3*i][0]=a
A[3*i][3]=b
A[3*i][5]=c
A[3*i+1][1]=b
A[3*i+1][3]=a
A[3*i+1][4]=c
A[3*i+2][2]=c
A[3*i+2][4]=b
A[3*i+2][5]=a
tmpH[i][0]=CART[0]
tmpH[i][1]=CART[1]
tmpH[i][2]=CART[2]
B=dot(inv(dot(A.transpose(),A)),A.transpose())
Matrices[n_pos]['A']=A
Matrices[n_pos]['B']=B
Matrices[n_pos]['tmpH']=tmpH
for specimen in specimens:
if 'atrmblock' in Data[specimen].keys():
#-----------------------------------
# aTRM 6 positions
#-----------------------------------
aniso_logfile.write("-I- Start calculating ATRM tensor for specimen %s\n "%specimen)
atrmblock=Data[specimen]['atrmblock']
if len(atrmblock)<6:
aniso_logfile.write("-W- specimen %s has not enough measurementf for ATRM calculation\n"%specimen)
continue
B=Matrices[6]['B']
Reject_specimen = False
# The zero field step is a "baseline"
# Search the baseline in the ATRM measurement
baseline=""
Alteration_check=""
Alteration_check_index=""
baselines=[]
# search for baseline in atrm blocks
for rec in atrmblock:
dec=float(rec['measurement_dec'])
inc=float(rec['measurement_inc'])
moment=float(rec['measurement_magn_moment'])
# find the temperature of the atrm
if float(rec['treatment_dc_field'])!=0 and float(rec['treatment_temp'])!=273:
atrm_temperature=float(rec['treatment_temp'])
# find baseline
if float(rec['treatment_dc_field'])==0 and float(rec['treatment_temp'])!=273:
baselines.append(array(pmag.dir2cart([dec,inc,moment])))
# Find alteration check
#print rec['measurement_number']
if len(baselines)!=0:
aniso_logfile.write( "-I- found ATRM baseline for specimen %s\n"%specimen)
baselines=array(baselines)
baseline=array([mean(baselines[:,0]),mean(baselines[:,1]),mean(baselines[:,2])])
else:
baseline=zeros(3,'f')
aniso_logfile.write( "-I- No aTRM baseline for specimen %s\n"%specimen)
# sort measurements
M=zeros([6,3],'f')
for rec in atrmblock:
dec=float(rec['measurement_dec'])
inc=float(rec['measurement_inc'])
moment=float(rec['measurement_magn_moment'])
CART=array(pmag.dir2cart([dec,inc,moment]))-baseline
if float(rec['treatment_dc_field'])==0: # Ignore zero field steps
continue
if "LT-PTRM-I" in rec['magic_method_codes'].split(":"): # alteration check
Alteration_check=CART
Alteration_check_dc_field_phi=float(rec['treatment_dc_field_phi'])
Alteration_check_dc_field_theta=float(rec['treatment_dc_field_theta'])
if Alteration_check_dc_field_phi==0 and Alteration_check_dc_field_theta==0 :
Alteration_check_index=0
if Alteration_check_dc_field_phi==90 and Alteration_check_dc_field_theta==0 :
Alteration_check_index=1
if Alteration_check_dc_field_phi==0 and Alteration_check_dc_field_theta==90 :
Alteration_check_index=2
if Alteration_check_dc_field_phi==180 and Alteration_check_dc_field_theta==0 :
Alteration_check_index=3
if Alteration_check_dc_field_phi==270 and Alteration_check_dc_field_theta==0 :
Alteration_check_index=4
if Alteration_check_dc_field_phi==0 and Alteration_check_dc_field_theta==-90 :
Alteration_check_index=5
aniso_logfile.write( "-I- found alteration check for specimen %s\n"%specimen)
continue
treatment_dc_field_phi=float(rec['treatment_dc_field_phi'])
treatment_dc_field_theta=float(rec['treatment_dc_field_theta'])
treatment_dc_field=float(rec['treatment_dc_field'])
#+x, M[0]
if treatment_dc_field_phi==0 and treatment_dc_field_theta==0 :
M[0]=CART
#+Y , M[1]
if treatment_dc_field_phi==90 and treatment_dc_field_theta==0 :
M[1]=CART
#+Z , M[2]
if treatment_dc_field_phi==0 and treatment_dc_field_theta==90 :
M[2]=CART
#-x, M[3]
if treatment_dc_field_phi==180 and treatment_dc_field_theta==0 :
M[3]=CART
#-Y , M[4]
if treatment_dc_field_phi==270 and treatment_dc_field_theta==0 :
M[4]=CART
#-Z , M[5]
if treatment_dc_field_phi==0 and treatment_dc_field_theta==-90 :
M[5]=CART
# check if at least one measurement in missing
for i in range(len(M)):
if M[i][0]==0 and M[i][1]==0 and M[i][2]==0:
aniso_logfile.write( "-E- ERROR: missing atrm data for specimen %s\n"%(specimen))
Reject_specimen=True
# alteration check
anisotropy_alt=0
if Alteration_check!="":
for i in range(len(M)):
if Alteration_check_index==i:
M_1=sqrt(sum((array(M[i])**2)))
M_2=sqrt(sum(Alteration_check**2))
diff=abs(M_1-M_2)
diff_ratio=diff/max(M_1,M_2)
diff_ratio_perc=100*diff_ratio
if diff_ratio_perc > anisotropy_alt:
anisotropy_alt=diff_ratio_perc
else:
aniso_logfile.write( "-W- Warning: no alteration check for specimen %s \n "%specimen )
# Check for maximum difference in anti parallel directions.
# if the difference between the two measurements is more than maximum_diff
# The specimen is rejected
# i.e. +x versus -x, +y versus -y, etc.s
for i in range(3):
M_1=sqrt(sum(array(M[i])**2))
M_2=sqrt(sum(array(M[i+3])**2))
diff=abs(M_1-M_2)
diff_ratio=diff/max(M_1,M_2)
diff_ratio_perc=100*diff_ratio
if diff_ratio_perc>anisotropy_alt:
anisotropy_alt=diff_ratio_perc
if not Reject_specimen:
# K vector (18 elements, M1[x], M1[y], M1[z], ... etc.)
K=zeros(18,'f')
K[0],K[1],K[2]=M[0][0],M[0][1],M[0][2]
K[3],K[4],K[5]=M[1][0],M[1][1],M[1][2]
K[6],K[7],K[8]=M[2][0],M[2][1],M[2][2]
K[9],K[10],K[11]=M[3][0],M[3][1],M[3][2]
K[12],K[13],K[14]=M[4][0],M[4][1],M[4][2]
K[15],K[16],K[17]=M[5][0],M[5][1],M[5][2]
if specimen not in Data_anisotropy.keys():
Data_anisotropy[specimen]={}
aniso_parameters=calculate_aniso_parameters(B,K)
Data_anisotropy[specimen]['ATRM']=aniso_parameters
Data_anisotropy[specimen]['ATRM']['anisotropy_alt']="%.2f"%anisotropy_alt
Data_anisotropy[specimen]['ATRM']['anisotropy_type']="ATRM"
Data_anisotropy[specimen]['ATRM']['er_sample_name']=atrmblock[0]['er_sample_name']
Data_anisotropy[specimen]['ATRM']['er_specimen_name']=specimen
Data_anisotropy[specimen]['ATRM']['er_site_name']=atrmblock[0]['er_site_name']
Data_anisotropy[specimen]['ATRM']['anisotropy_description']='Hext statistics adapted to ATRM'
Data_anisotropy[specimen]['ATRM']['magic_experiment_names']=specimen+";ATRM"
Data_anisotropy[specimen]['ATRM']['magic_method_codes']="LP-AN-TRM:AE-H"
Data_anisotropy[specimen]['ATRM']['rmag_anisotropy_name']=specimen
if 'aarmblock' in Data[specimen].keys():
#-----------------------------------
# AARM - 6, 9 or 15 positions
#-----------------------------------
aniso_logfile.write( "-I- Start calculating AARM tensors specimen %s\n"%specimen)
aarmblock=Data[specimen]['aarmblock']
if len(aarmblock)<12:
aniso_logfile.write( "-W- WARNING: not enough aarm measurement for specimen %s\n"%specimen)
continue
elif len(aarmblock)==12:
n_pos=6
B=Matrices[6]['B']
M=zeros([6,3],'f')
elif len(aarmblock)==18:
n_pos=9
B=Matrices[9]['B']
M=zeros([9,3],'f')
# 15 positions
elif len(aarmblock)==30:
n_pos=15
B=Matrices[15]['B']
M=zeros([15,3],'f')
else:
aniso_logfile.write( "-E- ERROR: number of measurements in aarm block is incorrect sample %s\n"%specimen)
continue
Reject_specimen = False
for i in range(n_pos):
for rec in aarmblock:
if float(rec['measurement_number'])==i*2+1:
dec=float(rec['measurement_dec'])
inc=float(rec['measurement_inc'])
moment=float(rec['measurement_magn_moment'])
M_baseline=array(pmag.dir2cart([dec,inc,moment]))
if float(rec['measurement_number'])==i*2+2:
dec=float(rec['measurement_dec'])
inc=float(rec['measurement_inc'])
moment=float(rec['measurement_magn_moment'])
M_arm=array(pmag.dir2cart([dec,inc,moment]))
M[i]=M_arm-M_baseline
K=zeros(3*n_pos,'f')
for i in range(n_pos):
K[i*3]=M[i][0]
K[i*3+1]=M[i][1]
K[i*3+2]=M[i][2]
if specimen not in Data_anisotropy.keys():
Data_anisotropy[specimen]={}
aniso_parameters=calculate_aniso_parameters(B,K)
Data_anisotropy[specimen]['AARM']=aniso_parameters
Data_anisotropy[specimen]['AARM']['anisotropy_alt']=""
Data_anisotropy[specimen]['AARM']['anisotropy_type']="AARM"
Data_anisotropy[specimen]['AARM']['er_sample_name']=aarmblock[0]['er_sample_name']
Data_anisotropy[specimen]['AARM']['er_site_name']=aarmblock[0]['er_site_name']
Data_anisotropy[specimen]['AARM']['er_specimen_name']=specimen
Data_anisotropy[specimen]['AARM']['anisotropy_description']='Hext statistics adapted to AARM'
Data_anisotropy[specimen]['AARM']['magic_experiment_names']=specimen+";AARM"
Data_anisotropy[specimen]['AARM']['magic_method_codes']="LP-AN-ARM:AE-H"
Data_anisotropy[specimen]['AARM']['rmag_anisotropy_name']=specimen
#-----------------------------------
specimens=Data_anisotropy.keys()
specimens.sort
# remove previous anistropy data, and replace with the new one:
s_list=Data.keys()
for sp in s_list:
if 'AniSpec' in Data[sp].keys():
del Data[sp]['AniSpec']
for specimen in specimens:
# if both AARM and ATRM axist prefer the AARM !!
if 'AARM' in Data_anisotropy[specimen].keys():
TYPES=['AARM']
if 'ATRM' in Data_anisotropy[specimen].keys():
TYPES=['ATRM']
if 'AARM' in Data_anisotropy[specimen].keys() and 'ATRM' in Data_anisotropy[specimen].keys():
TYPES=['ATRM','AARM']
aniso_logfile.write( "-W- WARNING: both aarm and atrm data exist for specimen %s. using AARM by default. If you prefer using one of them, delete the other!\n"%specimen)
for TYPE in TYPES:
String=""
for i in range (len(rmag_anistropy_header)):
try:
String=String+Data_anisotropy[specimen][TYPE][rmag_anistropy_header[i]]+'\t'
except:
String=String+"%f"%(Data_anisotropy[specimen][TYPE][rmag_anistropy_header[i]])+'\t'
rmag_anisotropy_file.write(String[:-1]+"\n")
String=""
Data_anisotropy[specimen][TYPE]['er_specimen_names']=Data_anisotropy[specimen][TYPE]['er_specimen_name']
Data_anisotropy[specimen][TYPE]['er_sample_names']=Data_anisotropy[specimen][TYPE]['er_sample_name']
Data_anisotropy[specimen][TYPE]['er_site_names']=Data_anisotropy[specimen][TYPE]['er_site_name']
for i in range (len(rmag_results_header)):
try:
String=String+Data_anisotropy[specimen][TYPE][rmag_results_header[i]]+'\t'
except:
String=String+"%f"%(Data_anisotropy[specimen][TYPE][rmag_results_header[i]])+'\t'
rmag_results_file.write(String[:-1]+"\n")
if 'AniSpec' not in Data[specimen]:
Data[specimen]['AniSpec']={}
Data[specimen]['AniSpec'][TYPE]=Data_anisotropy[specimen][TYPE]
aniso_logfile.write("------------------------\n")
aniso_logfile.write("-I- remanence_aniso_magic script finished sucsessfuly\n")
aniso_logfile.write( "------------------------\n")
rmag_anisotropy_file.close()
print "Anisotropy tensors elements are saved in rmag_anistropy.txt"
print "Other anisotropy statistics are saved in rmag_results.txt"
print "log file is in rmag_anisotropy.log"
main()