def main():
"""
NAME
fishrot.py
DESCRIPTION
generates set of Fisher distributed data from specified distribution
SYNTAX
fishrot.py [-h][-i][command line options]
OPTIONS
-h prints help message and quits
-i for interactive entry
-k kappa specify kappa, default is 20
-n N specify N, default is 100
-D D specify mean Dec, default is 0
-I I specify mean Inc, default is 90
where:
kappa: fisher distribution concentration parameter
N: number of directions desired
OUTPUT
dec, inc
"""
N,kappa,D,I=100,20.,0.,90.
if len(sys.argv)!=0 and '-h' in sys.argv:
print(main.__doc__)
sys.exit()
elif '-i' in sys.argv:
ans=input(' Kappa: ')
kappa=float(ans)
ans=input(' N: ')
N=int(ans)
ans=input(' Mean Dec: ')
D=float(ans)
ans=input(' Mean Inc: ')
I=float(ans)
else:
if '-k' in sys.argv:
ind=sys.argv.index('-k')
kappa=float(sys.argv[ind+1])
if '-n' in sys.argv:
ind=sys.argv.index('-n')
N=int(sys.argv[ind+1])
if '-D' in sys.argv:
ind=sys.argv.index('-D')
D=float(sys.argv[ind+1])
if '-I' in sys.argv:
ind=sys.argv.index('-I')
I=float(sys.argv[ind+1])
for k in range(N):
dec,inc= pmag.fshdev(kappa) # send kappa to fshdev
drot,irot=pmag.dodirot(dec,inc,D,I)
print('%7.1f %7.1f ' % (drot,irot))
def main():
"""
NAME
fishrot.py
DESCRIPTION
generates set of Fisher distributed data from specified distribution
SYNTAX
fishrot.py [-h][-i][command line options]
OPTIONS
-h prints help message and quits
-i for interactive entry
-k kappa specify kappa, default is 20
-n N specify N, default is 100
-D D specify mean Dec, default is 0
-I I specify mean Inc, default is 90
where:
kappa: fisher distribution concentration parameter
N: number of directions desired
OUTPUT
dec, inc
"""
N, kappa, D, I = 100, 20., 0., 90.
if len(sys.argv) != 0 and '-h' in sys.argv:
print(main.__doc__)
sys.exit()
elif '-i' in sys.argv:
ans = input(' Kappa: ')
kappa = float(ans)
ans = input(' N: ')
N = int(ans)
ans = input(' Mean Dec: ')
D = float(ans)
ans = input(' Mean Inc: ')
I = float(ans)
else:
if '-k' in sys.argv:
ind = sys.argv.index('-k')
kappa = float(sys.argv[ind + 1])
if '-n' in sys.argv:
ind = sys.argv.index('-n')
N = int(sys.argv[ind + 1])
if '-D' in sys.argv:
ind = sys.argv.index('-D')
D = float(sys.argv[ind + 1])
if '-I' in sys.argv:
ind = sys.argv.index('-I')
I = float(sys.argv[ind + 1])
for k in range(N):
dec, inc = pmag.fshdev(kappa) # send kappa to fshdev
drot, irot = pmag.dodirot(dec, inc, D, I)
print('%7.1f %7.1f ' % (drot, irot))
def main():
"""
NAME
revtest_MM1990.py
DESCRIPTION
calculates Watson's V statistic from input files through Monte Carlo simulation in order to test whether normal and reversed populations could have been drawn from a common mean (equivalent to watsonV.py). Also provides the critical angle between the two sample mean directions and the corresponding McFadden and McElhinny (1990) classification.
INPUT FORMAT
takes dec/inc as first two columns in two space delimited files (one file for normal directions, one file for reversed directions).
SYNTAX
revtest_MM1990.py [command line options]
OPTIONS
-h prints help message and quits
-f FILE
-f2 FILE
-P (don't plot the Watson V cdf)
OUTPUT
Watson's V between the two populations and the Monte Carlo Critical Value Vc.
M&M1990 angle, critical angle and classification
Plot of Watson's V CDF from Monte Carlo simulation (red line), V is solid and Vc is dashed.
"""
D1, D2 = [], []
plot = 1
Flip = 1
if '-h' in sys.argv: # check if help is needed
print(main.__doc__)
sys.exit() # graceful quit
if '-P' in sys.argv: plot = 0
if '-f' in sys.argv:
ind = sys.argv.index('-f')
file1 = sys.argv[ind + 1]
f1 = open(file1, 'r')
for line in f1.readlines():
rec = line.split()
Dec, Inc = float(rec[0]), float(rec[1])
D1.append([Dec, Inc, 1.])
f1.close()
if '-f2' in sys.argv:
ind = sys.argv.index('-f2')
file2 = sys.argv[ind + 1]
f2 = open(file2, 'r')
print("be patient, your computer is doing 5000 simulations...")
for line in f2.readlines():
rec = line.split()
Dec, Inc = float(rec[0]), float(rec[1])
D2.append([Dec, Inc, 1.])
f2.close()
#take the antipode for the directions in file 2
D2_flip = []
for rec in D2:
d, i = (rec[0] - 180.) % 360., -rec[1]
D2_flip.append([d, i, 1.])
pars_1 = pmag.fisher_mean(D1)
pars_2 = pmag.fisher_mean(D2_flip)
cart_1 = pmag.dir2cart([pars_1["dec"], pars_1["inc"], pars_1["r"]])
cart_2 = pmag.dir2cart([pars_2['dec'], pars_2['inc'], pars_2["r"]])
Sw = pars_1['k'] * pars_1['r'] + pars_2['k'] * pars_2['r'] # k1*r1+k2*r2
xhat_1 = pars_1['k'] * cart_1[0] + pars_2['k'] * cart_2[0] # k1*x1+k2*x2
xhat_2 = pars_1['k'] * cart_1[1] + pars_2['k'] * cart_2[1] # k1*y1+k2*y2
xhat_3 = pars_1['k'] * cart_1[2] + pars_2['k'] * cart_2[2] # k1*z1+k2*z2
Rw = numpy.sqrt(xhat_1**2 + xhat_2**2 + xhat_3**2)
V = 2 * (Sw - Rw)
#
#keep weighted sum for later when determining the "critical angle" let's save it as Sr (notation of McFadden and McElhinny, 1990)
#
Sr = Sw
#
# do monte carlo simulation of datasets with same kappas, but common mean
#
counter, NumSims = 0, 5000
Vp = [] # set of Vs from simulations
for k in range(NumSims):
#
# get a set of N1 fisher distributed vectors with k1, calculate fisher stats
#
Dirp = []
for i in range(pars_1["n"]):
Dirp.append(pmag.fshdev(pars_1["k"]))
pars_p1 = pmag.fisher_mean(Dirp)
#
# get a set of N2 fisher distributed vectors with k2, calculate fisher stats
#
Dirp = []
for i in range(pars_2["n"]):
Dirp.append(pmag.fshdev(pars_2["k"]))
pars_p2 = pmag.fisher_mean(Dirp)
#
# get the V for these
#
Vk = pmag.vfunc(pars_p1, pars_p2)
Vp.append(Vk)
#
# sort the Vs, get Vcrit (95th percentile one)
#
Vp.sort()
k = int(.95 * NumSims)
Vcrit = Vp[k]
#
# equation 18 of McFadden and McElhinny, 1990 calculates the critical value of R (Rwc)
#
Rwc = Sr - (old_div(Vcrit, 2))
#
#following equation 19 of McFadden and McElhinny (1990) the critical angle is calculated.
#
k1 = pars_1['k']
k2 = pars_2['k']
R1 = pars_1['r']
R2 = pars_2['r']
critical_angle = numpy.degrees(
numpy.arccos(
old_div(((Rwc**2) - ((k1 * R1)**2) - ((k2 * R2)**2)),
(2 * k1 * R1 * k2 * R2))))
D1_mean = (pars_1['dec'], pars_1['inc'])
D2_mean = (pars_2['dec'], pars_2['inc'])
angle = pmag.angle(D1_mean, D2_mean)
#
# print the results of the test
#
print("")
print("Results of Watson V test: ")
print("")
print("Watson's V: " '%.1f' % (V))
print("Critical value of V: " '%.1f' % (Vcrit))
if V < Vcrit:
print(
'"Pass": Since V is less than Vcrit, the null hypothesis that the two populations are drawn from distributions that share a common mean direction (antipodal to one another) cannot be rejected.'
)
elif V > Vcrit:
print(
'"Fail": Since V is greater than Vcrit, the two means can be distinguished at the 95% confidence level.'
)
print("")
print("M&M1990 classification:")
print("")
print("Angle between data set means: " '%.1f' % (angle))
print("Critical angle of M&M1990: " '%.1f' % (critical_angle))
if V > Vcrit:
print("")
elif V < Vcrit:
if critical_angle < 5:
print(
"The McFadden and McElhinny (1990) classification for this test is: 'A'"
)
elif critical_angle < 10:
print(
"The McFadden and McElhinny (1990) classification for this test is: 'B'"
)
elif critical_angle < 20:
print(
"The McFadden and McElhinny (1990) classification for this test is: 'C'"
)
else:
print(
"The McFadden and McElhinny (1990) classification for this test is: 'INDETERMINATE;"
)
if plot == 1:
CDF = {'cdf': 1}
pmagplotlib.plot_init(CDF['cdf'], 5, 5)
p1 = pmagplotlib.plot_cdf(CDF['cdf'], Vp, "Watson's V", 'r', "")
p2 = pmagplotlib.plot_vs(CDF['cdf'], [V], 'g', '-')
p3 = pmagplotlib.plot_vs(CDF['cdf'], [Vp[k]], 'b', '--')
pmagplotlib.draw_figs(CDF)
files, fmt = {}, 'svg'
if file2 != "":
files['cdf'] = 'WatsonsV_' + file1 + '_' + file2 + '.' + fmt
else:
files['cdf'] = 'WatsonsV_' + file1 + '.' + fmt
if pmagplotlib.isServer:
black = '#000000'
purple = '#800080'
titles = {}
titles['cdf'] = 'Cumulative Distribution'
CDF = pmagplotlib.add_borders(CDF, titles, black, purple)
pmagplotlib.save_plots(CDF, files)
else:
ans = input(" S[a]ve to save plot, [q]uit without saving: ")
if ans == "a": pmagplotlib.save_plots(CDF, files)
def main():
"""
NAME
foldtest.py
DESCRIPTION
does a fold test (Tauxe, 2010) on data
INPUT FORMAT
dec inc dip_direction dip
SYNTAX
foldtest.py [command line options]
OPTIONS
-h prints help message and quits
-f FILE file with input data
-F FILE for confidence bounds on fold test
-u ANGLE (circular standard deviation) for uncertainty on bedding poles
-b MIN MAX bounds for quick search of percent untilting [default is -10 to 150%]
-n NB number of bootstrap samples [default is 1000]
-fmt FMT, specify format - default is svg
-sav save figures and quit
INPUT FILE
Dec Inc Dip_Direction Dip in space delimited file
OUTPUT PLOTS
Geographic: is an equal area projection of the input data in
original coordinates
Stratigraphic: is an equal area projection of the input data in
tilt adjusted coordinates
% Untilting: The dashed (red) curves are representative plots of
maximum eigenvalue (tau_1) as a function of untilting
The solid line is the cumulative distribution of the
% Untilting required to maximize tau for all the
bootstrapped data sets. The dashed vertical lines
are 95% confidence bounds on the % untilting that yields
the most clustered result (maximum tau_1).
Command line: prints out the bootstrapped iterations and
finally the confidence bounds on optimum untilting.
If the 95% conf bounds include 0, then a post-tilt magnetization is indicated
If the 95% conf bounds include 100, then a pre-tilt magnetization is indicated
If the 95% conf bounds exclude both 0 and 100, syn-tilt magnetization is
possible as is vertical axis rotation or other pathologies
Geographic: is an equal area projection of the input data in
OPTIONAL OUTPUT FILE:
The output file has the % untilting within the 95% confidence bounds
nd the number of bootstrap samples
"""
kappa=0
fmt,plot='svg',0
nb=1000 # number of bootstraps
min,max=-10,150
if '-h' in sys.argv: # check if help is needed
print(main.__doc__)
sys.exit() # graceful quit
if '-F' in sys.argv:
ind=sys.argv.index('-F')
outfile=open(sys.argv[ind+1],'w')
else:
outfile=""
if '-f' in sys.argv:
ind=sys.argv.index('-f')
file=sys.argv[ind+1]
DIDDs=numpy.loadtxt(file)
else:
print(main.__doc__)
sys.exit()
if '-fmt' in sys.argv:
ind=sys.argv.index('-fmt')
fmt=sys.argv[ind+1]
if '-sav' in sys.argv:plot=1
if '-b' in sys.argv:
ind=sys.argv.index('-b')
min=int(sys.argv[ind+1])
max=int(sys.argv[ind+2])
if '-n' in sys.argv:
ind=sys.argv.index('-n')
nb=int(sys.argv[ind+1])
if '-u' in sys.argv:
ind=sys.argv.index('-u')
csd=float(sys.argv[ind+1])
kappa=(81. / csd)**2
#
# get to work
#
PLTS={'geo':1,'strat':2,'taus':3} # make plot dictionary
pmagplotlib.plot_init(PLTS['geo'],5,5)
pmagplotlib.plot_init(PLTS['strat'],5,5)
pmagplotlib.plot_init(PLTS['taus'],5,5)
pmagplotlib.plot_eq(PLTS['geo'],DIDDs,'Geographic')
D,I=pmag.dotilt_V(DIDDs)
TCs=numpy.array([D,I]).transpose()
pmagplotlib.plot_eq(PLTS['strat'],TCs,'Stratigraphic')
if not set_env.IS_WIN:
if plot==0:pmagplotlib.draw_figs(PLTS)
Percs=list(range(min,max))
Cdf,Untilt=[],[]
pylab.figure(num=PLTS['taus'])
print('doing ',nb,' iterations...please be patient.....')
for n in range(nb): # do bootstrap data sets - plot first 25 as dashed red line
if n%50==0:print(n)
Taus=[] # set up lists for taus
PDs=pmag.pseudo(DIDDs)
if kappa!=0:
for k in range(len(PDs)):
d,i=pmag.fshdev(kappa)
dipdir,dip=pmag.dodirot(d,i,PDs[k][2],PDs[k][3])
PDs[k][2]=dipdir
PDs[k][3]=dip
for perc in Percs:
tilt=numpy.array([1.,1.,1.,0.01*perc])
D,I=pmag.dotilt_V(PDs*tilt)
TCs=numpy.array([D,I]).transpose()
ppars=pmag.doprinc(TCs) # get principal directions
Taus.append(ppars['tau1'])
if n<25:pylab.plot(Percs,Taus,'r--')
Untilt.append(Percs[Taus.index(numpy.max(Taus))]) # tilt that gives maximum tau
Cdf.append(float(n) / float(nb))
pylab.plot(Percs,Taus,'k')
pylab.xlabel('% Untilting')
pylab.ylabel('tau_1 (red), CDF (green)')
Untilt.sort() # now for CDF of tilt of maximum tau
pylab.plot(Untilt,Cdf,'g')
lower=int(.025*nb)
upper=int(.975*nb)
pylab.axvline(x=Untilt[lower],ymin=0,ymax=1,linewidth=1,linestyle='--')
pylab.axvline(x=Untilt[upper],ymin=0,ymax=1,linewidth=1,linestyle='--')
tit= '%i - %i %s'%(Untilt[lower],Untilt[upper],'Percent Unfolding')
print(tit)
print('range of all bootstrap samples: ', Untilt[0], ' - ', Untilt[-1])
pylab.title(tit)
outstring= '%i - %i; %i\n'%(Untilt[lower],Untilt[upper],nb)
if outfile!="":outfile.write(outstring)
files={}
for key in list(PLTS.keys()):
files[key]=('foldtest_'+'%s'%(key.strip()[:2])+'.'+fmt)
if plot==0:
pmagplotlib.draw_figs(PLTS)
ans= input('S[a]ve all figures, <Return> to quit ')
if ans!='a':
print("Good bye")
sys.exit()
pmagplotlib.save_plots(PLTS,files)
def main():
"""
NAME
watsons_v.py
DESCRIPTION
calculates Watson's V statistic from input files
INPUT FORMAT
takes dec/inc as first two columns in two space delimited files
SYNTAX
watsons_v.py [command line options]
OPTIONS
-h prints help message and quits
-f FILE (with optional second)
-f2 FILE (second file)
-ant, flip antipodal directions to opposite direction
in first file if only one file or flip all in second, if two files
-P (don't save or show plot)
-sav save figure and quit silently
-fmt [png,svg,eps,pdf,jpg] format for saved figure
OUTPUT
Watson's V and the Monte Carlo Critical Value Vc.
in plot, V is solid and Vc is dashed.
"""
Flip = 0
show, plot = 1, 0
fmt = 'svg'
file2 = ""
if '-h' in sys.argv: # check if help is needed
print main.__doc__
sys.exit() # graceful quit
if '-ant' in sys.argv: Flip = 1
if '-sav' in sys.argv: show, plot = 0, 1 # don't display, but do save plot
if '-fmt' in sys.argv:
ind = sys.argv.index('-fmt')
fmt = sys.argv[ind + 1]
if '-P' in sys.argv: show = 0 # don't display or save plot
if '-f' in sys.argv:
ind = sys.argv.index('-f')
file1 = sys.argv[ind + 1]
data = numpy.loadtxt(file1).transpose()
D1 = numpy.array([data[0], data[1]]).transpose()
else:
print "-f is required"
print main.__doc__
sys.exit()
if '-f2' in sys.argv:
ind = sys.argv.index('-f2')
file2 = sys.argv[ind + 1]
data2 = numpy.loadtxt(file2).transpose()
D2 = numpy.array([data2[0], data2[1]]).transpose()
if Flip == 1:
D2, D = pmag.flip(D2) # D2 are now flipped
if len(D2) != 0:
if len(D) != 0:
D2 = numpy.concatenate(D, D2) # put all in D2
elif len(D) != 0:
D2 = D
else:
print 'length of second file is zero'
sys.exit()
elif Flip == 1:
D2, D1 = pmag.flip(D1) # peel out antipodal directions, put in D2
#
counter, NumSims = 0, 5000
#
# first calculate the fisher means and cartesian coordinates of each set of Directions
#
pars_1 = pmag.fisher_mean(D1)
pars_2 = pmag.fisher_mean(D2)
#
# get V statistic for these
#
V = pmag.vfunc(pars_1, pars_2)
#
# do monte carlo simulation of datasets with same kappas, but common mean
#
Vp = [] # set of Vs from simulations
if show == 1: print "Doing ", NumSims, " simulations"
for k in range(NumSims):
counter += 1
if counter == 50:
if show == 1: print k + 1
counter = 0
Dirp = []
# get a set of N1 fisher distributed vectors with k1, calculate fisher stats
for i in range(pars_1["n"]):
Dirp.append(pmag.fshdev(pars_1["k"]))
pars_p1 = pmag.fisher_mean(Dirp)
# get a set of N2 fisher distributed vectors with k2, calculate fisher stats
Dirp = []
for i in range(pars_2["n"]):
Dirp.append(pmag.fshdev(pars_2["k"]))
pars_p2 = pmag.fisher_mean(Dirp)
# get the V for these
Vk = pmag.vfunc(pars_p1, pars_p2)
Vp.append(Vk)
#
# sort the Vs, get Vcrit (95th one)
#
Vp.sort()
k = int(.95 * NumSims)
if show == 1:
print "Watson's V, Vcrit: "
print ' %10.1f %10.1f' % (V, Vp[k])
if show == 1 or plot == 1:
print "Watson's V, Vcrit: "
print ' %10.1f %10.1f' % (V, Vp[k])
CDF = {'cdf': 1}
pmagplotlib.plot_init(CDF['cdf'], 5, 5)
pmagplotlib.plotCDF(CDF['cdf'], Vp, "Watson's V", 'r', "")
pmagplotlib.plotVs(CDF['cdf'], [V], 'g', '-')
pmagplotlib.plotVs(CDF['cdf'], [Vp[k]], 'b', '--')
if plot == 0: pmagplotlib.drawFIGS(CDF)
files = {}
if file2 != "":
files['cdf'] = 'watsons_v_' + file1 + '_' + file2 + '.' + fmt
else:
files['cdf'] = 'watsons_v_' + file1 + '.' + fmt
if pmagplotlib.isServer:
black = '#000000'
purple = '#800080'
titles = {}
titles['cdf'] = 'Cumulative Distribution'
CDF = pmagplotlib.addBorders(CDF, titles, black, purple)
pmagplotlib.saveP(CDF, files)
elif plot == 0:
ans = raw_input(" S[a]ve to save plot, [q]uit without saving: ")
if ans == "a": pmagplotlib.saveP(CDF, files)
if plot == 1: # save and quit silently
pmagplotlib.saveP(CDF, files)
def main():
"""
NAME
revtest_MM1990.py
DESCRIPTION
calculates Watson's V statistic from input files through Monte Carlo simulation in order to test whether normal and reversed populations could have been drawn from a common mean (equivalent to watsonV.py). Also provides the critical angle between the two sample mean directions and the corresponding McFadden and McElhinny (1990) classification.
INPUT FORMAT
takes dec/inc as first two columns in two space delimited files (one file for normal directions, one file for reversed directions).
SYNTAX
revtest_MM1990.py [command line options]
OPTIONS
-h prints help message and quits
-f FILE
-f2 FILE
-P (don't plot the Watson V cdf)
OUTPUT
Watson's V between the two populations and the Monte Carlo Critical Value Vc.
M&M1990 angle, critical angle and classification
Plot of Watson's V CDF from Monte Carlo simulation (red line), V is solid and Vc is dashed.
"""
D1,D2=[],[]
plot=1
Flip=1
if '-h' in sys.argv: # check if help is needed
print(main.__doc__)
sys.exit() # graceful quit
if '-P' in sys.argv: plot=0
if '-f' in sys.argv:
ind=sys.argv.index('-f')
file1=sys.argv[ind+1]
f1=open(file1,'r')
for line in f1.readlines():
rec=line.split()
Dec,Inc=float(rec[0]),float(rec[1])
D1.append([Dec,Inc,1.])
f1.close()
if '-f2' in sys.argv:
ind=sys.argv.index('-f2')
file2=sys.argv[ind+1]
f2=open(file2,'r')
print("be patient, your computer is doing 5000 simulations...")
for line in f2.readlines():
rec=line.split()
Dec,Inc=float(rec[0]),float(rec[1])
D2.append([Dec,Inc,1.])
f2.close()
#take the antipode for the directions in file 2
D2_flip=[]
for rec in D2:
d,i=(rec[0]-180.)%360.,-rec[1]
D2_flip.append([d,i,1.])
pars_1=pmag.fisher_mean(D1)
pars_2=pmag.fisher_mean(D2_flip)
cart_1=pmag.dir2cart([pars_1["dec"],pars_1["inc"],pars_1["r"]])
cart_2=pmag.dir2cart([pars_2['dec'],pars_2['inc'],pars_2["r"]])
Sw=pars_1['k']*pars_1['r']+pars_2['k']*pars_2['r'] # k1*r1+k2*r2
xhat_1=pars_1['k']*cart_1[0]+pars_2['k']*cart_2[0] # k1*x1+k2*x2
xhat_2=pars_1['k']*cart_1[1]+pars_2['k']*cart_2[1] # k1*y1+k2*y2
xhat_3=pars_1['k']*cart_1[2]+pars_2['k']*cart_2[2] # k1*z1+k2*z2
Rw=numpy.sqrt(xhat_1**2+xhat_2**2+xhat_3**2)
V=2*(Sw-Rw)
#
#keep weighted sum for later when determining the "critical angle" let's save it as Sr (notation of McFadden and McElhinny, 1990)
#
Sr=Sw
#
# do monte carlo simulation of datasets with same kappas, but common mean
#
counter,NumSims=0,5000
Vp=[] # set of Vs from simulations
for k in range(NumSims):
#
# get a set of N1 fisher distributed vectors with k1, calculate fisher stats
#
Dirp=[]
for i in range(pars_1["n"]):
Dirp.append(pmag.fshdev(pars_1["k"]))
pars_p1=pmag.fisher_mean(Dirp)
#
# get a set of N2 fisher distributed vectors with k2, calculate fisher stats
#
Dirp=[]
for i in range(pars_2["n"]):
Dirp.append(pmag.fshdev(pars_2["k"]))
pars_p2=pmag.fisher_mean(Dirp)
#
# get the V for these
#
Vk=pmag.vfunc(pars_p1,pars_p2)
Vp.append(Vk)
#
# sort the Vs, get Vcrit (95th percentile one)
#
Vp.sort()
k=int(.95*NumSims)
Vcrit=Vp[k]
#
# equation 18 of McFadden and McElhinny, 1990 calculates the critical value of R (Rwc)
#
Rwc=Sr-(old_div(Vcrit,2))
#
#following equation 19 of McFadden and McElhinny (1990) the critical angle is calculated.
#
k1=pars_1['k']
k2=pars_2['k']
R1=pars_1['r']
R2=pars_2['r']
critical_angle=numpy.degrees(numpy.arccos(old_div(((Rwc**2)-((k1*R1)**2)-((k2*R2)**2)),(2*k1*R1*k2*R2))))
D1_mean=(pars_1['dec'],pars_1['inc'])
D2_mean=(pars_2['dec'],pars_2['inc'])
angle=pmag.angle(D1_mean,D2_mean)
#
# print the results of the test
#
print("")
print("Results of Watson V test: ")
print("")
print("Watson's V: " '%.1f' %(V))
print("Critical value of V: " '%.1f' %(Vcrit))
if V<Vcrit:
print('"Pass": Since V is less than Vcrit, the null hypothesis that the two populations are drawn from distributions that share a common mean direction (antipodal to one another) cannot be rejected.')
elif V>Vcrit:
print('"Fail": Since V is greater than Vcrit, the two means can be distinguished at the 95% confidence level.')
print("")
print("M&M1990 classification:")
print("")
print("Angle between data set means: " '%.1f'%(angle))
print("Critical angle of M&M1990: " '%.1f'%(critical_angle))
if V>Vcrit:
print("")
elif V<Vcrit:
if critical_angle<5:
print("The McFadden and McElhinny (1990) classification for this test is: 'A'")
elif critical_angle<10:
print("The McFadden and McElhinny (1990) classification for this test is: 'B'")
elif critical_angle<20:
print("The McFadden and McElhinny (1990) classification for this test is: 'C'")
else:
print("The McFadden and McElhinny (1990) classification for this test is: 'INDETERMINATE;")
if plot==1:
CDF={'cdf':1}
pmagplotlib.plot_init(CDF['cdf'],5,5)
p1 = pmagplotlib.plotCDF(CDF['cdf'],Vp,"Watson's V",'r',"")
p2 = pmagplotlib.plotVs(CDF['cdf'],[V],'g','-')
p3 = pmagplotlib.plotVs(CDF['cdf'],[Vp[k]],'b','--')
pmagplotlib.drawFIGS(CDF)
files,fmt={},'svg'
if file2!="":
files['cdf']='WatsonsV_'+file1+'_'+file2+'.'+fmt
else:
files['cdf']='WatsonsV_'+file1+'.'+fmt
if pmagplotlib.isServer:
black = '#000000'
purple = '#800080'
titles={}
titles['cdf']='Cumulative Distribution'
CDF = pmagplotlib.addBorders(CDF,titles,black,purple)
pmagplotlib.saveP(CDF,files)
else:
ans=input(" S[a]ve to save plot, [q]uit without saving: ")
if ans=="a": pmagplotlib.saveP(CDF,files)
def main():
"""
NAME
foldtest_magic.py
DESCRIPTION
does a fold test (Tauxe, 2010) on data
INPUT FORMAT
pmag_specimens format file, er_samples.txt format file (for bedding)
SYNTAX
foldtest_magic.py [command line options]
OPTIONS
-h prints help message and quits
-f sites formatted file [default for 3.0 is sites.txt, for 2.5, pmag_sites.txt]
-fsa samples formatted file
-fsi sites formatted file
-exc use criteria to set acceptance criteria (supported only for data model 3)
-n NB, set number of bootstraps, default is 1000
-b MIN, MAX, set bounds for untilting, default is -10, 150
-fmt FMT, specify format - default is svg
-sav saves plots and quits
-DM NUM MagIC data model number (2 or 3, default 3)
OUTPUT
Geographic: is an equal area projection of the input data in
original coordinates
Stratigraphic: is an equal area projection of the input data in
tilt adjusted coordinates
% Untilting: The dashed (red) curves are representative plots of
maximum eigenvalue (tau_1) as a function of untilting
The solid line is the cumulative distribution of the
% Untilting required to maximize tau for all the
bootstrapped data sets. The dashed vertical lines
are 95% confidence bounds on the % untilting that yields
the most clustered result (maximum tau_1).
Command line: prints out the bootstrapped iterations and
finally the confidence bounds on optimum untilting.
If the 95% conf bounds include 0, then a pre-tilt magnetization is indicated
If the 95% conf bounds include 100, then a post-tilt magnetization is indicated
If the 95% conf bounds exclude both 0 and 100, syn-tilt magnetization is
possible as is vertical axis rotation or other pathologies
"""
if '-h' in sys.argv: # check if help is needed
print(main.__doc__)
sys.exit() # graceful quit
kappa = 0
dir_path = pmag.get_named_arg("-WD", ".")
nboot = int(float(pmag.get_named_arg("-n", 1000))) # number of bootstraps
fmt = pmag.get_named_arg("-fmt", "svg")
data_model_num = int(float(pmag.get_named_arg("-DM", 3)))
if data_model_num == 3:
infile = pmag.get_named_arg("-f", 'sites.txt')
orfile = 'samples.txt'
site_col = 'site'
dec_col = 'dir_dec'
inc_col = 'dir_inc'
tilt_col = 'dir_tilt_correction'
dipkey, azkey = 'bed_dip', 'bed_dip_direction'
crit_col = 'criterion'
critfile = 'criteria.txt'
else:
infile = pmag.get_named_arg("-f", 'pmag_sites.txt')
orfile = 'er_samples.txt'
site_col = 'er_site_name'
dec_col = 'site_dec'
inc_col = 'site_inc'
tilt_col = 'site_tilt_correction'
dipkey, azkey = 'sample_bed_dip', 'sample_bed_dip_direction'
crit_col = 'pmag_criteria_code'
critfile = 'pmag_criteria.txt'
if '-sav' in sys.argv:
plot = 1
else:
plot = 0
if '-b' in sys.argv:
ind = sys.argv.index('-b')
untilt_min = int(sys.argv[ind+1])
untilt_max = int(sys.argv[ind+2])
else:
untilt_min, untilt_max = -10, 150
if '-fsa' in sys.argv:
orfile = pmag.get_named_arg("-fsa", "")
elif '-fsi' in sys.argv:
orfile = pmag.get_named_arg("-fsi", "")
if data_model_num == 3:
dipkey, azkey = 'bed_dip', 'bed_dip_direction'
else:
dipkey, azkey = 'site_bed_dip', 'site_bed_dip_direction'
else:
if data_model_num == 3:
orfile = 'sites.txt'
else:
orfile = 'pmag_sites.txt'
orfile = pmag.resolve_file_name(orfile, dir_path)
infile = pmag.resolve_file_name(infile, dir_path)
critfile = pmag.resolve_file_name(critfile, dir_path)
df = pd.read_csv(infile, sep='\t', header=1)
# keep only records with tilt_col
data = df.copy()
data = data[data[tilt_col].notnull()]
data = data.where(data.notnull(), "")
# turn into pmag data list
data = list(data.T.apply(dict))
# get orientation data
if data_model_num == 3:
# often orientation will be in infile (sites table)
if os.path.split(orfile)[1] == os.path.split(infile)[1]:
ordata = df[df[azkey].notnull()]
ordata = ordata[ordata[dipkey].notnull()]
ordata = list(ordata.T.apply(dict))
# sometimes orientation might be in a sample file instead
else:
ordata = pd.read_csv(orfile, sep='\t', header=1)
ordata = list(ordata.T.apply(dict))
else:
ordata, file_type = pmag.magic_read(orfile)
if '-exc' in sys.argv:
crits, file_type = pmag.magic_read(critfile)
SiteCrits = []
for crit in crits:
if crit[crit_col] == "DE-SITE":
SiteCrits.append(crit)
#break
# get to work
#
PLTS = {'geo': 1, 'strat': 2, 'taus': 3} # make plot dictionary
if not set_env.IS_WIN:
pmagplotlib.plot_init(PLTS['geo'], 5, 5)
pmagplotlib.plot_init(PLTS['strat'], 5, 5)
pmagplotlib.plot_init(PLTS['taus'], 5, 5)
if data_model_num == 2:
GEOrecs = pmag.get_dictitem(data, tilt_col, '0', 'T')
else:
GEOrecs = data
if len(GEOrecs) > 0: # have some geographic data
num_dropped = 0
DIDDs = [] # set up list for dec inc dip_direction, dip
for rec in GEOrecs: # parse data
dip, dip_dir = 0, -1
Dec = float(rec[dec_col])
Inc = float(rec[inc_col])
orecs = pmag.get_dictitem(
ordata, site_col, rec[site_col], 'T')
if len(orecs) > 0:
if orecs[0][azkey] != "":
dip_dir = float(orecs[0][azkey])
if orecs[0][dipkey] != "":
dip = float(orecs[0][dipkey])
if dip != 0 and dip_dir != -1:
if '-exc' in sys.argv:
keep = 1
for site_crit in SiteCrits:
crit_name = site_crit['table_column'].split('.')[1]
if crit_name and crit_name in rec.keys() and rec[crit_name]:
# get the correct operation (<, >=, =, etc.)
op = OPS[site_crit['criterion_operation']]
# then make sure the site record passes
if op(float(rec[crit_name]), float(site_crit['criterion_value'])):
keep = 0
if keep == 1:
DIDDs.append([Dec, Inc, dip_dir, dip])
else:
num_dropped += 1
else:
DIDDs.append([Dec, Inc, dip_dir, dip])
if num_dropped:
print("-W- Dropped {} records because each failed one or more criteria".format(num_dropped))
else:
print('no geographic directional data found')
sys.exit()
pmagplotlib.plot_eq(PLTS['geo'], DIDDs, 'Geographic')
data = np.array(DIDDs)
D, I = pmag.dotilt_V(data)
TCs = np.array([D, I]).transpose()
pmagplotlib.plot_eq(PLTS['strat'], TCs, 'Stratigraphic')
if plot == 0:
pmagplotlib.draw_figs(PLTS)
Percs = list(range(untilt_min, untilt_max))
Cdf, Untilt = [], []
plt.figure(num=PLTS['taus'])
print('doing ', nboot, ' iterations...please be patient.....')
for n in range(nboot): # do bootstrap data sets - plot first 25 as dashed red line
if n % 50 == 0:
print(n)
Taus = [] # set up lists for taus
PDs = pmag.pseudo(DIDDs)
if kappa != 0:
for k in range(len(PDs)):
d, i = pmag.fshdev(kappa)
dipdir, dip = pmag.dodirot(d, i, PDs[k][2], PDs[k][3])
PDs[k][2] = dipdir
PDs[k][3] = dip
for perc in Percs:
tilt = np.array([1., 1., 1., 0.01*perc])
D, I = pmag.dotilt_V(PDs*tilt)
TCs = np.array([D, I]).transpose()
ppars = pmag.doprinc(TCs) # get principal directions
Taus.append(ppars['tau1'])
if n < 25:
plt.plot(Percs, Taus, 'r--')
# tilt that gives maximum tau
Untilt.append(Percs[Taus.index(np.max(Taus))])
Cdf.append(float(n) / float(nboot))
plt.plot(Percs, Taus, 'k')
plt.xlabel('% Untilting')
plt.ylabel('tau_1 (red), CDF (green)')
Untilt.sort() # now for CDF of tilt of maximum tau
plt.plot(Untilt, Cdf, 'g')
lower = int(.025*nboot)
upper = int(.975*nboot)
plt.axvline(x=Untilt[lower], ymin=0, ymax=1, linewidth=1, linestyle='--')
plt.axvline(x=Untilt[upper], ymin=0, ymax=1, linewidth=1, linestyle='--')
tit = '%i - %i %s' % (Untilt[lower], Untilt[upper], 'Percent Unfolding')
print(tit)
plt.title(tit)
if plot == 0:
pmagplotlib.draw_figs(PLTS)
ans = input('S[a]ve all figures, <Return> to quit \n ')
if ans != 'a':
print("Good bye")
sys.exit()
files = {}
for key in list(PLTS.keys()):
files[key] = ('foldtest_'+'%s' % (key.strip()[:2])+'.'+fmt)
pmagplotlib.save_plots(PLTS, files)
def main():
"""
NAME
foldtest_magic.py
DESCRIPTION
does a fold test (Tauxe, 2010) on data
INPUT FORMAT
pmag_specimens format file, er_samples.txt format file (for bedding)
SYNTAX
foldtest_magic.py [command line options]
OPTIONS
-h prints help message and quits
-f sites formatted file [default for 3.0 is sites.txt, for 2.5, pmag_sites.txt]
-fsa samples formatted file
-fsi sites formatted file
-exc use criteria to set acceptance criteria (supported only for data model 3)
-n NB, set number of bootstraps, default is 1000
-b MIN, MAX, set bounds for untilting, default is -10, 150
-fmt FMT, specify format - default is svg
-sav saves plots and quits
-DM NUM MagIC data model number (2 or 3, default 3)
OUTPUT
Geographic: is an equal area projection of the input data in
original coordinates
Stratigraphic: is an equal area projection of the input data in
tilt adjusted coordinates
% Untilting: The dashed (red) curves are representative plots of
maximum eigenvalue (tau_1) as a function of untilting
The solid line is the cumulative distribution of the
% Untilting required to maximize tau for all the
bootstrapped data sets. The dashed vertical lines
are 95% confidence bounds on the % untilting that yields
the most clustered result (maximum tau_1).
Command line: prints out the bootstrapped iterations and
finally the confidence bounds on optimum untilting.
If the 95% conf bounds include 0, then a pre-tilt magnetization is indicated
If the 95% conf bounds include 100, then a post-tilt magnetization is indicated
If the 95% conf bounds exclude both 0 and 100, syn-tilt magnetization is
possible as is vertical axis rotation or other pathologies
"""
if '-h' in sys.argv: # check if help is needed
print(main.__doc__)
sys.exit() # graceful quit
kappa = 0
dir_path = pmag.get_named_arg("-WD", ".")
nboot = int(float(pmag.get_named_arg("-n", 1000))) # number of bootstraps
fmt = pmag.get_named_arg("-fmt", "svg")
data_model_num = int(float(pmag.get_named_arg("-DM", 3)))
if data_model_num == 3:
infile = pmag.get_named_arg("-f", 'sites.txt')
orfile = 'samples.txt'
site_col = 'site'
dec_col = 'dir_dec'
inc_col = 'dir_inc'
tilt_col = 'dir_tilt_correction'
dipkey, azkey = 'bed_dip', 'bed_dip_direction'
crit_col = 'criterion'
critfile = 'criteria.txt'
else:
infile = pmag.get_named_arg("-f", 'pmag_sites.txt')
orfile = 'er_samples.txt'
site_col = 'er_site_name'
dec_col = 'site_dec'
inc_col = 'site_inc'
tilt_col = 'site_tilt_correction'
dipkey, azkey = 'sample_bed_dip', 'sample_bed_dip_direction'
crit_col = 'pmag_criteria_code'
critfile = 'pmag_criteria.txt'
if '-sav' in sys.argv:
plot = 1
else:
plot = 0
if '-b' in sys.argv:
ind = sys.argv.index('-b')
untilt_min = int(sys.argv[ind + 1])
untilt_max = int(sys.argv[ind + 2])
else:
untilt_min, untilt_max = -10, 150
if '-fsa' in sys.argv:
orfile = pmag.get_named_arg("-fsa", "")
elif '-fsi' in sys.argv:
orfile = pmag.get_named_arg("-fsi", "")
if data_model_num == 3:
dipkey, azkey = 'bed_dip', 'bed_dip_direction'
else:
dipkey, azkey = 'site_bed_dip', 'site_bed_dip_direction'
else:
if data_model_num == 3:
orfile = 'sites.txt'
else:
orfile = 'pmag_sites.txt'
orfile = pmag.resolve_file_name(orfile, dir_path)
infile = pmag.resolve_file_name(infile, dir_path)
critfile = pmag.resolve_file_name(critfile, dir_path)
df = pd.read_csv(infile, sep='\t', header=1)
# keep only records with tilt_col
data = df.copy()
data = data[data[tilt_col].notnull()]
data = data.where(data.notnull(), "")
# turn into pmag data list
data = list(data.T.apply(dict))
# get orientation data
if data_model_num == 3:
# often orientation will be in infile (sites table)
if os.path.split(orfile)[1] == os.path.split(infile)[1]:
ordata = df[df[azkey].notnull()]
ordata = ordata[ordata[dipkey].notnull()]
ordata = list(ordata.T.apply(dict))
# sometimes orientation might be in a sample file instead
else:
ordata = pd.read_csv(orfile, sep='\t', header=1)
ordata = list(ordata.T.apply(dict))
else:
ordata, file_type = pmag.magic_read(orfile)
if '-exc' in sys.argv:
crits, file_type = pmag.magic_read(critfile)
SiteCrits = []
for crit in crits:
if crit[crit_col] == "DE-SITE":
SiteCrits.append(crit)
#break
# get to work
#
PLTS = {'geo': 1, 'strat': 2, 'taus': 3} # make plot dictionary
if not set_env.IS_WIN:
pmagplotlib.plot_init(PLTS['geo'], 5, 5)
pmagplotlib.plot_init(PLTS['strat'], 5, 5)
pmagplotlib.plot_init(PLTS['taus'], 5, 5)
if data_model_num == 2:
GEOrecs = pmag.get_dictitem(data, tilt_col, '0', 'T')
else:
GEOrecs = data
if len(GEOrecs) > 0: # have some geographic data
num_dropped = 0
DIDDs = [] # set up list for dec inc dip_direction, dip
for rec in GEOrecs: # parse data
dip, dip_dir = 0, -1
Dec = float(rec[dec_col])
Inc = float(rec[inc_col])
orecs = pmag.get_dictitem(ordata, site_col, rec[site_col], 'T')
if len(orecs) > 0:
if orecs[0][azkey] != "":
dip_dir = float(orecs[0][azkey])
if orecs[0][dipkey] != "":
dip = float(orecs[0][dipkey])
if dip != 0 and dip_dir != -1:
if '-exc' in sys.argv:
keep = 1
for site_crit in SiteCrits:
crit_name = site_crit['table_column'].split('.')[1]
if crit_name and crit_name in rec.keys(
) and rec[crit_name]:
# get the correct operation (<, >=, =, etc.)
op = OPS[site_crit['criterion_operation']]
# then make sure the site record passes
if op(float(rec[crit_name]),
float(site_crit['criterion_value'])):
keep = 0
if keep == 1:
DIDDs.append([Dec, Inc, dip_dir, dip])
else:
num_dropped += 1
else:
DIDDs.append([Dec, Inc, dip_dir, dip])
if num_dropped:
print(
"-W- Dropped {} records because each failed one or more criteria"
.format(num_dropped))
else:
print('no geographic directional data found')
sys.exit()
pmagplotlib.plot_eq(PLTS['geo'], DIDDs, 'Geographic')
data = np.array(DIDDs)
D, I = pmag.dotilt_V(data)
TCs = np.array([D, I]).transpose()
pmagplotlib.plot_eq(PLTS['strat'], TCs, 'Stratigraphic')
if plot == 0:
pmagplotlib.draw_figs(PLTS)
Percs = list(range(untilt_min, untilt_max))
Cdf, Untilt = [], []
plt.figure(num=PLTS['taus'])
print('doing ', nboot, ' iterations...please be patient.....')
for n in range(
nboot
): # do bootstrap data sets - plot first 25 as dashed red line
if n % 50 == 0:
print(n)
Taus = [] # set up lists for taus
PDs = pmag.pseudo(DIDDs)
if kappa != 0:
for k in range(len(PDs)):
d, i = pmag.fshdev(kappa)
dipdir, dip = pmag.dodirot(d, i, PDs[k][2], PDs[k][3])
PDs[k][2] = dipdir
PDs[k][3] = dip
for perc in Percs:
tilt = np.array([1., 1., 1., 0.01 * perc])
D, I = pmag.dotilt_V(PDs * tilt)
TCs = np.array([D, I]).transpose()
ppars = pmag.doprinc(TCs) # get principal directions
Taus.append(ppars['tau1'])
if n < 25:
plt.plot(Percs, Taus, 'r--')
# tilt that gives maximum tau
Untilt.append(Percs[Taus.index(np.max(Taus))])
Cdf.append(float(n) / float(nboot))
plt.plot(Percs, Taus, 'k')
plt.xlabel('% Untilting')
plt.ylabel('tau_1 (red), CDF (green)')
Untilt.sort() # now for CDF of tilt of maximum tau
plt.plot(Untilt, Cdf, 'g')
lower = int(.025 * nboot)
upper = int(.975 * nboot)
plt.axvline(x=Untilt[lower], ymin=0, ymax=1, linewidth=1, linestyle='--')
plt.axvline(x=Untilt[upper], ymin=0, ymax=1, linewidth=1, linestyle='--')
tit = '%i - %i %s' % (Untilt[lower], Untilt[upper], 'Percent Unfolding')
print(tit)
plt.title(tit)
if plot == 0:
pmagplotlib.draw_figs(PLTS)
ans = input('S[a]ve all figures, <Return> to quit \n ')
if ans != 'a':
print("Good bye")
sys.exit()
files = {}
for key in list(PLTS.keys()):
files[key] = ('foldtest_' + '%s' % (key.strip()[:2]) + '.' + fmt)
pmagplotlib.save_plots(PLTS, files)
def main():
"""
NAME
foldtest.py
DESCRIPTION
does a fold test (Tauxe, 2010) on data
INPUT FORMAT
dec inc dip_direction dip
SYNTAX
foldtest.py [command line options]
OPTIONS
-h prints help message and quits
-f FILE file with input data
-F FILE for confidence bounds on fold test
-u ANGLE (circular standard deviation) for uncertainty on bedding poles
-b MIN MAX bounds for quick search of percent untilting [default is -10 to 150%]
-n NB number of bootstrap samples [default is 1000]
-fmt FMT, specify format - default is svg
-sav save figures and quit
INPUT FILE
Dec Inc Dip_Direction Dip in space delimited file
OUTPUT PLOTS
Geographic: is an equal area projection of the input data in
original coordinates
Stratigraphic: is an equal area projection of the input data in
tilt adjusted coordinates
% Untilting: The dashed (red) curves are representative plots of
maximum eigenvalue (tau_1) as a function of untilting
The solid line is the cumulative distribution of the
% Untilting required to maximize tau for all the
bootstrapped data sets. The dashed vertical lines
are 95% confidence bounds on the % untilting that yields
the most clustered result (maximum tau_1).
Command line: prints out the bootstrapped iterations and
finally the confidence bounds on optimum untilting.
If the 95% conf bounds include 0, then a post-tilt magnetization is indicated
If the 95% conf bounds include 100, then a pre-tilt magnetization is indicated
If the 95% conf bounds exclude both 0 and 100, syn-tilt magnetization is
possible as is vertical axis rotation or other pathologies
Geographic: is an equal area projection of the input data in
OPTIONAL OUTPUT FILE:
The output file has the % untilting within the 95% confidence bounds
nd the number of bootstrap samples
"""
kappa = 0
fmt, plot = 'svg', 0
nb = 1000 # number of bootstraps
min, max = -10, 150
if '-h' in sys.argv: # check if help is needed
print main.__doc__
sys.exit() # graceful quit
if '-F' in sys.argv:
ind = sys.argv.index('-F')
outfile = open(sys.argv[ind + 1], 'w')
else:
outfile = ""
if '-f' in sys.argv:
ind = sys.argv.index('-f')
file = sys.argv[ind + 1]
DIDDs = numpy.loadtxt(file)
else:
print main.__doc__
sys.exit()
if '-fmt' in sys.argv:
ind = sys.argv.index('-fmt')
fmt = sys.argv[ind + 1]
if '-sav' in sys.argv: plot = 1
if '-b' in sys.argv:
ind = sys.argv.index('-b')
min = int(sys.argv[ind + 1])
max = int(sys.argv[ind + 2])
if '-n' in sys.argv:
ind = sys.argv.index('-n')
nb = int(sys.argv[ind + 1])
if '-u' in sys.argv:
ind = sys.argv.index('-u')
csd = float(sys.argv[ind + 1])
kappa = (81. / csd)**2
#
# get to work
#
PLTS = {'geo': 1, 'strat': 2, 'taus': 3} # make plot dictionary
pmagplotlib.plot_init(PLTS['geo'], 5, 5)
pmagplotlib.plot_init(PLTS['strat'], 5, 5)
pmagplotlib.plot_init(PLTS['taus'], 5, 5)
pmagplotlib.plotEQ(PLTS['geo'], DIDDs, 'Geographic')
D, I = pmag.dotilt_V(DIDDs)
TCs = numpy.array([D, I]).transpose()
pmagplotlib.plotEQ(PLTS['strat'], TCs, 'Stratigraphic')
if plot == 0: pmagplotlib.drawFIGS(PLTS)
Percs = range(min, max)
Cdf, Untilt = [], []
pylab.figure(num=PLTS['taus'])
print 'doing ', nb, ' iterations...please be patient.....'
for n in range(
nb): # do bootstrap data sets - plot first 25 as dashed red line
if n % 50 == 0: print n
Taus = [] # set up lists for taus
PDs = pmag.pseudo(DIDDs)
if kappa != 0:
for k in range(len(PDs)):
d, i = pmag.fshdev(kappa)
dipdir, dip = pmag.dodirot(d, i, PDs[k][2], PDs[k][3])
PDs[k][2] = dipdir
PDs[k][3] = dip
for perc in Percs:
tilt = numpy.array([1., 1., 1., 0.01 * perc])
D, I = pmag.dotilt_V(PDs * tilt)
TCs = numpy.array([D, I]).transpose()
ppars = pmag.doprinc(TCs) # get principal directions
Taus.append(ppars['tau1'])
if n < 25: pylab.plot(Percs, Taus, 'r--')
Untilt.append(Percs[Taus.index(
numpy.max(Taus))]) # tilt that gives maximum tau
Cdf.append(float(n) / float(nb))
pylab.plot(Percs, Taus, 'k')
pylab.xlabel('% Untilting')
pylab.ylabel('tau_1 (red), CDF (green)')
Untilt.sort() # now for CDF of tilt of maximum tau
pylab.plot(Untilt, Cdf, 'g')
lower = int(.025 * nb)
upper = int(.975 * nb)
pylab.axvline(x=Untilt[lower], ymin=0, ymax=1, linewidth=1, linestyle='--')
pylab.axvline(x=Untilt[upper], ymin=0, ymax=1, linewidth=1, linestyle='--')
tit = '%i - %i %s' % (Untilt[lower], Untilt[upper], 'Percent Unfolding')
print tit
print 'range of all bootstrap samples: ', Untilt[0], ' - ', Untilt[-1]
pylab.title(tit)
outstring = '%i - %i; %i\n' % (Untilt[lower], Untilt[upper], nb)
if outfile != "": outfile.write(outstring)
files = {}
for key in PLTS.keys():
files[key] = ('foldtest_' + '%s' % (key.strip()[:2]) + '.' + fmt)
if plot == 0:
pmagplotlib.drawFIGS(PLTS)
ans = raw_input('S[a]ve all figures, <Return> to quit ')
if ans != 'a':
print "Good bye"
sys.exit()
pmagplotlib.saveP(PLTS, files)
def main():
"""
NAME
foldtest_magic.py
DESCRIPTION
does a fold test (Tauxe, 2010) on data
INPUT FORMAT
pmag_specimens format file, er_samples.txt format file (for bedding)
SYNTAX
foldtest_magic.py [command line options]
OPTIONS
-h prints help message and quits
-f pmag_sites formatted file [default is pmag_sites.txt]
-fsa er_samples formatted file [default is er_samples.txt]
-fsi er_sites formatted file
-exc use pmag_criteria.txt to set acceptance criteria
-n NB, set number of bootstraps, default is 1000
-b MIN, MAX, set bounds for untilting, default is -10, 150
-fmt FMT, specify format - default is svg
-sav saves plots and quits
OUTPUT
Geographic: is an equal area projection of the input data in
original coordinates
Stratigraphic: is an equal area projection of the input data in
tilt adjusted coordinates
% Untilting: The dashed (red) curves are representative plots of
maximum eigenvalue (tau_1) as a function of untilting
The solid line is the cumulative distribution of the
% Untilting required to maximize tau for all the
bootstrapped data sets. The dashed vertical lines
are 95% confidence bounds on the % untilting that yields
the most clustered result (maximum tau_1).
Command line: prints out the bootstrapped iterations and
finally the confidence bounds on optimum untilting.
If the 95% conf bounds include 0, then a pre-tilt magnetization is indicated
If the 95% conf bounds include 100, then a post-tilt magnetization is indicated
If the 95% conf bounds exclude both 0 and 100, syn-tilt magnetization is
possible as is vertical axis rotation or other pathologies
"""
kappa = 0
nb = 1000 # number of bootstraps
min, max = -10, 150
dir_path = '.'
infile, orfile = 'pmag_sites.txt', 'er_samples.txt'
critfile = 'pmag_criteria.txt'
dipkey, azkey = 'sample_bed_dip', 'sample_bed_dip_direction'
fmt = 'svg'
plot = 0
if '-WD' in sys.argv:
ind = sys.argv.index('-WD')
dir_path = sys.argv[ind + 1]
if '-h' in sys.argv: # check if help is needed
print(main.__doc__)
sys.exit() # graceful quit
if '-n' in sys.argv:
ind = sys.argv.index('-n')
nb = int(sys.argv[ind + 1])
if '-fmt' in sys.argv:
ind = sys.argv.index('-fmt')
fmt = sys.argv[ind + 1]
if '-sav' in sys.argv: plot = 1
if '-b' in sys.argv:
ind = sys.argv.index('-b')
min = int(sys.argv[ind + 1])
max = int(sys.argv[ind + 2])
if '-f' in sys.argv:
ind = sys.argv.index('-f')
infile = sys.argv[ind + 1]
if '-fsa' in sys.argv:
ind = sys.argv.index('-fsa')
orfile = sys.argv[ind + 1]
elif '-fsi' in sys.argv:
ind = sys.argv.index('-fsi')
orfile = sys.argv[ind + 1]
dipkey, azkey = 'site_bed_dip', 'site_bed_dip_direction'
orfile = dir_path + '/' + orfile
infile = dir_path + '/' + infile
critfile = dir_path + '/' + critfile
data, file_type = pmag.magic_read(infile)
ordata, file_type = pmag.magic_read(orfile)
if '-exc' in sys.argv:
crits, file_type = pmag.magic_read(critfile)
for crit in crits:
if crit['pmag_criteria_code'] == "DE-SITE":
SiteCrit = crit
break
# get to work
#
PLTS = {'geo': 1, 'strat': 2, 'taus': 3} # make plot dictionary
pmagplotlib.plot_init(PLTS['geo'], 5, 5)
pmagplotlib.plot_init(PLTS['strat'], 5, 5)
pmagplotlib.plot_init(PLTS['taus'], 5, 5)
GEOrecs = pmag.get_dictitem(data, 'site_tilt_correction', '0', 'T')
if len(GEOrecs) > 0: # have some geographic data
DIDDs = [] # set up list for dec inc dip_direction, dip
for rec in GEOrecs: # parse data
dip, dip_dir = 0, -1
Dec = float(rec['site_dec'])
Inc = float(rec['site_inc'])
orecs = pmag.get_dictitem(ordata, 'er_site_name',
rec['er_site_name'], 'T')
if len(orecs) > 0:
if orecs[0][azkey] != "": dip_dir = float(orecs[0][azkey])
if orecs[0][dipkey] != "": dip = float(orecs[0][dipkey])
if dip != 0 and dip_dir != -1:
if '-exc' in sys.argv:
keep = 1
for key in list(SiteCrit.keys()):
if 'site' in key and SiteCrit[key] != "" and rec[
key] != "" and key != 'site_alpha95':
if float(rec[key]) < float(SiteCrit[key]):
keep = 0
print(rec['er_site_name'], key, rec[key])
if key == 'site_alpha95' and SiteCrit[
key] != "" and rec[key] != "":
if float(rec[key]) > float(SiteCrit[key]):
keep = 0
if keep == 1: DIDDs.append([Dec, Inc, dip_dir, dip])
else:
DIDDs.append([Dec, Inc, dip_dir, dip])
else:
print('no geographic directional data found')
sys.exit()
pmagplotlib.plotEQ(PLTS['geo'], DIDDs, 'Geographic')
data = numpy.array(DIDDs)
D, I = pmag.dotilt_V(data)
TCs = numpy.array([D, I]).transpose()
pmagplotlib.plotEQ(PLTS['strat'], TCs, 'Stratigraphic')
if plot == 0: pmagplotlib.drawFIGS(PLTS)
Percs = list(range(min, max))
Cdf, Untilt = [], []
pylab.figure(num=PLTS['taus'])
print('doing ', nb, ' iterations...please be patient.....')
for n in range(
nb): # do bootstrap data sets - plot first 25 as dashed red line
if n % 50 == 0: print(n)
Taus = [] # set up lists for taus
PDs = pmag.pseudo(DIDDs)
if kappa != 0:
for k in range(len(PDs)):
d, i = pmag.fshdev(kappa)
dipdir, dip = pmag.dodirot(d, i, PDs[k][2], PDs[k][3])
PDs[k][2] = dipdir
PDs[k][3] = dip
for perc in Percs:
tilt = numpy.array([1., 1., 1., 0.01 * perc])
D, I = pmag.dotilt_V(PDs * tilt)
TCs = numpy.array([D, I]).transpose()
ppars = pmag.doprinc(TCs) # get principal directions
Taus.append(ppars['tau1'])
if n < 25: pylab.plot(Percs, Taus, 'r--')
Untilt.append(Percs[Taus.index(
numpy.max(Taus))]) # tilt that gives maximum tau
Cdf.append(old_div(float(n), float(nb)))
pylab.plot(Percs, Taus, 'k')
pylab.xlabel('% Untilting')
pylab.ylabel('tau_1 (red), CDF (green)')
Untilt.sort() # now for CDF of tilt of maximum tau
pylab.plot(Untilt, Cdf, 'g')
lower = int(.025 * nb)
upper = int(.975 * nb)
pylab.axvline(x=Untilt[lower], ymin=0, ymax=1, linewidth=1, linestyle='--')
pylab.axvline(x=Untilt[upper], ymin=0, ymax=1, linewidth=1, linestyle='--')
tit = '%i - %i %s' % (Untilt[lower], Untilt[upper], 'Percent Unfolding')
print(tit)
pylab.title(tit)
if plot == 0:
pmagplotlib.drawFIGS(PLTS)
ans = input('S[a]ve all figures, <Return> to quit \n ')
if ans != 'a':
print("Good bye")
sys.exit()
files = {}
for key in list(PLTS.keys()):
files[key] = ('foldtest_' + '%s' % (key.strip()[:2]) + '.' + fmt)
pmagplotlib.saveP(PLTS, files)
def main():
"""
NAME
watsons_v.py
DESCRIPTION
calculates Watson's V statistic from input files
INPUT FORMAT
takes dec/inc as first two columns in two space delimited files
SYNTAX
watsons_v.py [command line options]
OPTIONS
-h prints help message and quits
-f FILE (with optional second)
-f2 FILE (second file)
-ant, flip antipodal directions to opposite direction
in first file if only one file or flip all in second, if two files
-P (don't save or show plot)
-sav save figure and quit silently
-fmt [png,svg,eps,pdf,jpg] format for saved figure
OUTPUT
Watson's V and the Monte Carlo Critical Value Vc.
in plot, V is solid and Vc is dashed.
"""
Flip=0
show,plot=1,0
fmt='svg'
file2=""
if '-h' in sys.argv: # check if help is needed
print main.__doc__
sys.exit() # graceful quit
if '-ant' in sys.argv: Flip=1
if '-sav' in sys.argv: show,plot=0,1 # don't display, but do save plot
if '-fmt' in sys.argv:
ind=sys.argv.index('-fmt')
fmt=sys.argv[ind+1]
if '-P' in sys.argv: show=0 # don't display or save plot
if '-f' in sys.argv:
ind=sys.argv.index('-f')
file1=sys.argv[ind+1]
data=numpy.loadtxt(file1).transpose()
D1=numpy.array([data[0],data[1]]).transpose()
else:
print "-f is required"
print main.__doc__
sys.exit()
if '-f2' in sys.argv:
ind=sys.argv.index('-f2')
file2=sys.argv[ind+1]
data2=numpy.loadtxt(file2).transpose()
D2=numpy.array([data2[0],data2[1]]).transpose()
if Flip==1:
D2,D=pmag.flip(D2) # D2 are now flipped
if len(D2)!=0:
if len(D)!=0:
D2=numpy.concatenate(D,D2) # put all in D2
elif len(D)!=0:
D2=D
else:
print 'length of second file is zero'
sys.exit()
elif Flip==1:D2,D1=pmag.flip(D1) # peel out antipodal directions, put in D2
#
counter,NumSims=0,5000
#
# first calculate the fisher means and cartesian coordinates of each set of Directions
#
pars_1=pmag.fisher_mean(D1)
pars_2=pmag.fisher_mean(D2)
#
# get V statistic for these
#
V=pmag.vfunc(pars_1,pars_2)
#
# do monte carlo simulation of datasets with same kappas, but common mean
#
Vp=[] # set of Vs from simulations
if show==1:print "Doing ",NumSims," simulations"
for k in range(NumSims):
counter+=1
if counter==50:
if show==1:print k+1
counter=0
Dirp=[]
# get a set of N1 fisher distributed vectors with k1, calculate fisher stats
for i in range(pars_1["n"]):
Dirp.append(pmag.fshdev(pars_1["k"]))
pars_p1=pmag.fisher_mean(Dirp)
# get a set of N2 fisher distributed vectors with k2, calculate fisher stats
Dirp=[]
for i in range(pars_2["n"]):
Dirp.append(pmag.fshdev(pars_2["k"]))
pars_p2=pmag.fisher_mean(Dirp)
# get the V for these
Vk=pmag.vfunc(pars_p1,pars_p2)
Vp.append(Vk)
#
# sort the Vs, get Vcrit (95th one)
#
Vp.sort()
k=int(.95*NumSims)
if show==1:
print "Watson's V, Vcrit: "
print ' %10.1f %10.1f'%(V,Vp[k])
if show==1 or plot==1:
print "Watson's V, Vcrit: "
print ' %10.1f %10.1f'%(V,Vp[k])
CDF={'cdf':1}
pmagplotlib.plot_init(CDF['cdf'],5,5)
pmagplotlib.plotCDF(CDF['cdf'],Vp,"Watson's V",'r',"")
pmagplotlib.plotVs(CDF['cdf'],[V],'g','-')
pmagplotlib.plotVs(CDF['cdf'],[Vp[k]],'b','--')
if plot==0:pmagplotlib.drawFIGS(CDF)
files={}
if file2!="":
files['cdf']='watsons_v_'+file1+'_'+file2+'.'+fmt
else:
files['cdf']='watsons_v_'+file1+'.'+fmt
if pmagplotlib.isServer:
black = '#000000'
purple = '#800080'
titles={}
titles['cdf']='Cumulative Distribution'
CDF = pmagplotlib.addBorders(CDF,titles,black,purple)
pmagplotlib.saveP(CDF,files)
elif plot==0:
ans=raw_input(" S[a]ve to save plot, [q]uit without saving: ")
if ans=="a": pmagplotlib.saveP(CDF,files)
if plot==1: # save and quit silently
pmagplotlib.saveP(CDF,files)
def spitout(kappa):
dec, inc = pmag.fshdev(kappa) # send kappa to fshdev
print('%7.1f %7.1f ' % (dec, inc))
return
def main():
"""
NAME
foldtest_magic.py
DESCRIPTION
does a fold test (Tauxe, 2010) on data
INPUT FORMAT
pmag_specimens format file, er_samples.txt format file (for bedding)
SYNTAX
foldtest_magic.py [command line options]
OPTIONS
-h prints help message and quits
-f pmag_sites formatted file [default is pmag_sites.txt]
-fsa er_samples formatted file [default is er_samples.txt]
-fsi er_sites formatted file
-exc use pmag_criteria.txt to set acceptance criteria
-n NB, set number of bootstraps, default is 1000
-b MIN, MAX, set bounds for untilting, default is -10, 150
-fmt FMT, specify format - default is svg
-sav saves plots and quits
OUTPUT
Geographic: is an equal area projection of the input data in
original coordinates
Stratigraphic: is an equal area projection of the input data in
tilt adjusted coordinates
% Untilting: The dashed (red) curves are representative plots of
maximum eigenvalue (tau_1) as a function of untilting
The solid line is the cumulative distribution of the
% Untilting required to maximize tau for all the
bootstrapped data sets. The dashed vertical lines
are 95% confidence bounds on the % untilting that yields
the most clustered result (maximum tau_1).
Command line: prints out the bootstrapped iterations and
finally the confidence bounds on optimum untilting.
If the 95% conf bounds include 0, then a pre-tilt magnetization is indicated
If the 95% conf bounds include 100, then a post-tilt magnetization is indicated
If the 95% conf bounds exclude both 0 and 100, syn-tilt magnetization is
possible as is vertical axis rotation or other pathologies
"""
kappa=0
nb=1000 # number of bootstraps
min,max=-10,150
dir_path='.'
infile,orfile='pmag_sites.txt','er_samples.txt'
critfile='pmag_criteria.txt'
dipkey,azkey='sample_bed_dip','sample_bed_dip_direction'
fmt='svg'
plot=0
if '-WD' in sys.argv:
ind=sys.argv.index('-WD')
dir_path=sys.argv[ind+1]
if '-h' in sys.argv: # check if help is needed
print main.__doc__
sys.exit() # graceful quit
if '-n' in sys.argv:
ind=sys.argv.index('-n')
nb=int(sys.argv[ind+1])
if '-fmt' in sys.argv:
ind=sys.argv.index('-fmt')
fmt=sys.argv[ind+1]
if '-sav' in sys.argv:plot=1
if '-b' in sys.argv:
ind=sys.argv.index('-b')
min=int(sys.argv[ind+1])
max=int(sys.argv[ind+2])
if '-f' in sys.argv:
ind=sys.argv.index('-f')
infile=sys.argv[ind+1]
if '-fsa' in sys.argv:
ind=sys.argv.index('-fsa')
orfile=sys.argv[ind+1]
elif '-fsi' in sys.argv:
ind=sys.argv.index('-fsi')
orfile=sys.argv[ind+1]
dipkey,azkey='site_bed_dip','site_bed_dip_direction'
orfile=dir_path+'/'+orfile
infile=dir_path+'/'+infile
critfile=dir_path+'/'+critfile
data,file_type=pmag.magic_read(infile)
ordata,file_type=pmag.magic_read(orfile)
if '-exc' in sys.argv:
crits,file_type=pmag.magic_read(critfile)
for crit in crits:
if crit['pmag_criteria_code']=="DE-SITE":
SiteCrit=crit
break
# get to work
#
PLTS={'geo':1,'strat':2,'taus':3} # make plot dictionary
pmagplotlib.plot_init(PLTS['geo'],5,5)
pmagplotlib.plot_init(PLTS['strat'],5,5)
pmagplotlib.plot_init(PLTS['taus'],5,5)
GEOrecs=pmag.get_dictitem(data,'site_tilt_correction','0','T')
if len(GEOrecs)>0: # have some geographic data
DIDDs= [] # set up list for dec inc dip_direction, dip
for rec in GEOrecs: # parse data
dip,dip_dir=0,-1
Dec=float(rec['site_dec'])
Inc=float(rec['site_inc'])
orecs=pmag.get_dictitem(ordata,'er_site_name',rec['er_site_name'],'T')
if len(orecs)>0:
if orecs[0][azkey]!="":dip_dir=float(orecs[0][azkey])
if orecs[0][dipkey]!="":dip=float(orecs[0][dipkey])
if dip!=0 and dip_dir!=-1:
if '-exc' in sys.argv:
keep=1
for key in SiteCrit.keys():
if 'site' in key and SiteCrit[key]!="" and rec[key]!="" and key!='site_alpha95':
if float(rec[key])<float(SiteCrit[key]):
keep=0
print rec['er_site_name'],key,rec[key]
if key=='site_alpha95' and SiteCrit[key]!="" and rec[key]!="":
if float(rec[key])>float(SiteCrit[key]):
keep=0
if keep==1: DIDDs.append([Dec,Inc,dip_dir,dip])
else:
DIDDs.append([Dec,Inc,dip_dir,dip])
else:
print 'no geographic directional data found'
sys.exit()
pmagplotlib.plotEQ(PLTS['geo'],DIDDs,'Geographic')
data=numpy.array(DIDDs)
D,I=pmag.dotilt_V(data)
TCs=numpy.array([D,I]).transpose()
pmagplotlib.plotEQ(PLTS['strat'],TCs,'Stratigraphic')
if plot==0:pmagplotlib.drawFIGS(PLTS)
Percs=range(min,max)
Cdf,Untilt=[],[]
pylab.figure(num=PLTS['taus'])
print 'doing ',nb,' iterations...please be patient.....'
for n in range(nb): # do bootstrap data sets - plot first 25 as dashed red line
if n%50==0:print n
Taus=[] # set up lists for taus
PDs=pmag.pseudo(DIDDs)
if kappa!=0:
for k in range(len(PDs)):
d,i=pmag.fshdev(kappa)
dipdir,dip=pmag.dodirot(d,i,PDs[k][2],PDs[k][3])
PDs[k][2]=dipdir
PDs[k][3]=dip
for perc in Percs:
tilt=numpy.array([1.,1.,1.,0.01*perc])
D,I=pmag.dotilt_V(PDs*tilt)
TCs=numpy.array([D,I]).transpose()
ppars=pmag.doprinc(TCs) # get principal directions
Taus.append(ppars['tau1'])
if n<25:pylab.plot(Percs,Taus,'r--')
Untilt.append(Percs[Taus.index(numpy.max(Taus))]) # tilt that gives maximum tau
Cdf.append(float(n)/float(nb))
pylab.plot(Percs,Taus,'k')
pylab.xlabel('% Untilting')
pylab.ylabel('tau_1 (red), CDF (green)')
Untilt.sort() # now for CDF of tilt of maximum tau
pylab.plot(Untilt,Cdf,'g')
lower=int(.025*nb)
upper=int(.975*nb)
pylab.axvline(x=Untilt[lower],ymin=0,ymax=1,linewidth=1,linestyle='--')
pylab.axvline(x=Untilt[upper],ymin=0,ymax=1,linewidth=1,linestyle='--')
tit= '%i - %i %s'%(Untilt[lower],Untilt[upper],'Percent Unfolding')
print tit
pylab.title(tit)
if plot==0:
pmagplotlib.drawFIGS(PLTS)
ans= raw_input('S[a]ve all figures, <Return> to quit \n ')
if ans!='a':
print "Good bye"
sys.exit()
files={}
for key in PLTS.keys():
files[key]=('foldtest_'+'%s'%(key.strip()[:2])+'.'+fmt)
pmagplotlib.saveP(PLTS,files)
def spitout(kappa):
dec,inc= pmag.fshdev(kappa) # send kappa to fshdev
print '%7.1f %7.1f ' % (dec,inc)
return
