def showVectorDisplacements():
global testImage, croppedRefImage, u, v, valid, q1, umean, vmean, x, y, sxyVar, wxyVar, goodvectorsVar
from scipy import where, compress, logical_and, median, logical_or, nan
from pylab import resize, transpose, quiver, title, show, find, imshow, hist, figure, clf, draw, save, load, xlabel, ylabel, flipud
mxy = 3
wxy = int(wxyVar.get())
sxy = int(sxyVar.get())
goodvectors = float(goodvectorsVar.get())
#process to find PIV-style displacements
x, y, u, v, q1, valid = simplepiv(croppedRefImage, testImage, wxy, mxy,
sxy)
good = where(logical_and(q1 > goodvectors, valid > 0), True, False)
umean = median(compress(good.flat, u.flat))
vmean = median(compress(good.flat, v.flat))
u = where(logical_or(q1 < goodvectors, valid < 0), 0, u)
v = where(logical_or(q1 < goodvectors, valid < 0), 0, v)
u = u - umean
v = v - vmean
save('vecx.out', x)
save('vecy.out', y)
save('vecu.out', u)
save('vecv.out', v)
save('vecq1.out', q1)
save('vecvalid.out', valid)
u = flipud(u)
v = -flipud(v)
quiver(x, y, u, v)
title('Vector displacements')
xlabel('Pixels')
ylabel('Pixels')
show()
return
def filter_nana(ts_data, ts_ticks):
if ts_data.ndim > 1:
raise ValueError("filtering-NaN is only defined for" +
"one dimensional time series data.")
ts_ticks = compress(logical_not(isnan(ts_data)), ts_ticks)
ts_data = compress(logical_not(isnan(ts_data)), ts_data)
return ts_data, ts_ticks
def normals_check(self):
triangles_areas, triangles_normals = triangles_areas_normals_computation(
self.vertexes_coord, self.triangle_vertexes,
self.triangles_surfaces)
self.test_normal_integral = zeros(self.S, 'd')
for s in range(self.S):
does_t_belongs_to_s = (self.triangles_surfaces == s)
self.test_normal_integral[s] = sum(
sum(
compress(does_t_belongs_to_s, triangles_areas, 0) *
compress(does_t_belongs_to_s, triangles_normals, 0), 1))
def LambdaEstimate(Array=scipy.array,
Filter=True):
#===========================================================================
# copied from R-GenABEL.lamdaest
#===========================================================================
Array = Array.astype(float)
Estimate = None
Ntp = len(Array)
QChi2Array = None
if(Array.max()<=1.0):
# Convert to quantile function of PValObsArray (df=1) if input are p-values.
QChi2Array = scipy.stats.chi2.isf(Array,
1)
else:
QChi2Array = Array
if(Filter):
FilterArray = (QChi2Array>=1.0e-8)
QChi2FilteredArray = scipy.compress(FilterArray,QChi2Array)
else:
QChi2FilteredArray = QChi2Array
QChi2FilteredArray.sort()
PPointsArray = GetPPointsArray(len(QChi2FilteredArray))
PPointsArray = scipy.sort(scipy.stats.chi2.ppf(PPointsArray,1)) # df=1
FilterArray = (PPointsArray!=0.0)
FilterArray *= (QChi2FilteredArray!=0.0)
PPointsArray = scipy.compress(FilterArray,PPointsArray)
QChi2FilteredArray = scipy.compress(FilterArray,QChi2FilteredArray)
# Fit PPointsArray,QChi2FilteredArray to the linear model.
P0 = [1.0]
PBest = scipy.optimize.leastsq(Residuals,
P0,
args=(PPointsArray,QChi2FilteredArray),
full_output=1,
maxfev=100)
Estimate = None
if(type(PBest[0])==scipy.float64):
Estimate = PBest[0]
else:
Estimate = PBest[0][0]
# Error estimation of parameter.
Chi2 = scipy.power(PBest[2]['fvec'],2.0).sum()
Dof = len(QChi2FilteredArray)-len(P0)-1
SE = scipy.real(scipy.sqrt(PBest[1][0,0])*scipy.sqrt(Chi2/float(Dof)))
return Estimate,SE
def downsample(self,freq,factor,ranges=[]):
if shape(factor) and ranges:
# pdb.set_trace()
mask=CreateVariableMask(freq, ranges, factor)
else:
mask=CreateDownSampleMask(freq, factor)
# mask=CreateLogMask(freq)
dsfreq=compress(mask,freq)
mylist=['mag','phase','coh']
for item in mylist:
tempvect=getattr(self,item)
if tempvect is not None:
tempvect=colwise(tempvect)
setattr(self,item,compress(mask,tempvect,0))
return dsfreq
def __init__(self, idx, theta, diff_matrix, log_file):
self.log_file = log_file
self.log("create beta form")
self.idx = idx
self.theta = theta
self.theta_norm = sp.linalg.norm(theta, ord=None)
self.diff_matrix = diff_matrix
# Find the null space for the subsetted diff matrix
start = time.time()
zero_theta_idx = self._get_zero_theta_indices(diff_matrix * theta)
u, s, v = sp.linalg.svd(diff_matrix[zero_theta_idx, :])
self.log("SVD done %f" % (time.time() - start))
null_mask = np.ones(v.shape[1])
null_mask[:s.size] = s <= self.eps
null_space = sp.compress(null_mask, v, axis=0)
null_matrix = np.matrix(sp.transpose(null_space))
start = time.time()
beta, istop, itn, normr, normar, norma, conda, normx = sp.sparse.linalg.lsmr(
null_matrix, theta.A1, atol=self.eps, btol=self.eps)
self.log("sp.sparse.linalg.lsmr done %f, istop %d, itn %d" %
((time.time() - start), istop, itn))
self.beta = np.matrix(beta).T
self.u = null_matrix
# Check that we reformulated theta but it is still very close to the original theta
# assert(res.size == 0 or res < self.eps)
if sp.linalg.norm(self.u * self.beta - self.theta, ord=2) > self.eps:
self.log("Warning: Reformulation is off: diff %f" %
sp.linalg.norm(self.u * self.beta - self.theta, ord=2))
self.log("create beta form success")
def nullspace(A, atol=1e-9):
'''Compute an approximate basis for the nullspace of A using the singular
value decomposition of `A`.
Parameters
----------
'A' = ndarray; A should be at most 2-D. A 1-D array with length k will be
treated as a 2-D with shape (1, k)
'atol' = float; The absolute tolerance for a zero singular value. Singular
values smaller than `atol` are considered to be zero.
'rtol' = float; The relative tolerance. Singular values less than
rtol*smax are considered to be zero, where smax is the largest singular
value.
If both `atol` and `rtol` are positive, the combined tolerance is the
maximum of the two; that is::
tol = max(atol, rtol * smax)
Singular values smaller than `tol` are considered to be zero.
Returns
-------
'ns' = ndarray; If `A` is an array with shape (m, k), then `ns` will be an
array with shape (k, n), where n is the estimated dimension of the
nullspace of `A`. The columns of `ns` are a basis for the
nullspace; each element in numpy.dot(A, ns) will be approximately
zero.
'''
# singular value decomposition
u, s, vh = sp_la.svd(A)
null_mask = (s <= atol)
null_space = sp.compress(null_mask, vh, axis=0)
return sp.transpose(null_space)
def _sampling_matrix(hessian, cutoff=0, temperature=1, step_scale=1):
# basically need SVD of hessian - singular values and eigenvectors
# hessian = u * diag(singVals) * vh
u, sing_vals, vh = scipy.linalg.svd(0.5 * hessian)
# scroll through the singular values and find the ones whose inverses will
# be huge and set them to zero also, load up the array of singular values
# that we store
# cutoff = (1.0/_.singVals[0])*1.0e03
# double cutoff = _.singVals[0]*1.0e-02
cutoff_sing_val = cutoff * max(sing_vals)
D = 1.0 / scipy.maximum(sing_vals, cutoff_sing_val)
## now fill in the sampling matrix ("square root" of the Hessian)
## note that sqrt(D[i]) is taken here whereas Kevin took sqrt(D[j])
## this is because vh is the transpose of his PT -JJW
samp_mat = scipy.transpose(vh) * scipy.sqrt(D)
# Divide the sampling matrix by an additional factor such
# that the expected quadratic increase in cost will be about 1.
cutoff_vals = scipy.compress(sing_vals < cutoff_sing_val, sing_vals)
if len(cutoff_vals):
scale = scipy.sqrt(
len(sing_vals) - len(cutoff_vals) +
sum(cutoff_vals) / cutoff_sing_val)
else:
scale = scipy.sqrt(len(sing_vals))
samp_mat /= scale
samp_mat *= step_scale
samp_mat *= scipy.sqrt(temperature)
return samp_mat
def null(A, eps=1e-12):
'''Compute a base of the null space of A.'''
u, s, vh = np.linalg.svd(A)
padding = max(0,np.shape(A)[1]-np.shape(s)[0])
null_mask = np.concatenate(((s <= eps), np.ones((padding,),dtype=bool)),axis=0)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def __init__(self, idx, theta, diff_matrix, log_file):
self.log_file = log_file
self.log("create beta form")
self.idx = idx
self.theta = theta
self.theta_norm = sp.linalg.norm(theta, ord=None)
self.diff_matrix = diff_matrix
# Find the null space for the subsetted diff matrix
start = time.time()
zero_theta_idx = self._get_zero_theta_indices(diff_matrix * theta)
u, s, v = sp.linalg.svd(diff_matrix[zero_theta_idx,:])
self.log("SVD done %f" % (time.time() - start))
null_mask = np.ones(v.shape[1])
null_mask[:s.size] = s <= self.eps
null_space = sp.compress(null_mask, v, axis=0)
null_matrix = np.matrix(sp.transpose(null_space))
start = time.time()
beta, istop, itn, normr, normar, norma, conda, normx = sp.sparse.linalg.lsmr(null_matrix, theta.A1, atol=self.eps, btol=self.eps)
self.log("sp.sparse.linalg.lsmr done %f, istop %d, itn %d" % ((time.time() - start), istop, itn))
self.beta = np.matrix(beta).T
self.u = null_matrix
# Check that we reformulated theta but it is still very close to the original theta
# assert(res.size == 0 or res < self.eps)
if sp.linalg.norm(self.u * self.beta - self.theta, ord=2) > self.eps:
self.log("Warning: Reformulation is off: diff %f" % sp.linalg.norm(self.u * self.beta - self.theta, ord=2))
self.log("create beta form success")
def _sampling_matrix(hessian, cutoff=0, temperature=1, step_scale=1):
# basically need SVD of hessian - singular values and eigenvectors
# hessian = u * diag(singVals) * vh
u, sing_vals, vh = scipy.linalg.svd(0.5 * hessian)
# scroll through the singular values and find the ones whose inverses will
# be huge and set them to zero also, load up the array of singular values
# that we store
# cutoff = (1.0/_.singVals[0])*1.0e03
# double cutoff = _.singVals[0]*1.0e-02
cutoff_sing_val = cutoff * max(sing_vals)
D = 1.0/scipy.maximum(sing_vals, cutoff_sing_val)
## now fill in the sampling matrix ("square root" of the Hessian)
## note that sqrt(D[i]) is taken here whereas Kevin took sqrt(D[j])
## this is because vh is the transpose of his PT -JJW
samp_mat = scipy.transpose(vh) * scipy.sqrt(D)
# Divide the sampling matrix by an additional factor such
# that the expected quadratic increase in cost will be about 1.
cutoff_vals = scipy.compress(sing_vals < cutoff_sing_val, sing_vals)
if len(cutoff_vals):
scale = scipy.sqrt(len(sing_vals) - len(cutoff_vals)
+ sum(cutoff_vals)/cutoff_sing_val)
else:
scale = scipy.sqrt(len(sing_vals))
samp_mat /= scale
samp_mat *= step_scale
samp_mat *= scipy.sqrt(temperature)
return samp_mat
def null(mat, eps=1e-12):
'''returns null space of matrix mat'''
u, s, vh = scipy.linalg.svd(mat) # , full_matrices=False)
padding = max(0, np.shape(mat)[1]-np.shape(s)[0])
null_mask = np.concatenate(((s <= eps), np.ones((padding, ), dtype=bool)), axis=0)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def null(A, eps=1e-9):
u, s, vh = scipy.linalg.svd(A)
padding = max(0, np.shape(A)[1] - np.shape(s)[0])
null_mask = np.concatenate(((s <= eps), np.ones((padding, ), dtype=bool)),
axis=0)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def nullOld(A, eps=1e-14):
""" Find the null eigenvector x of matrix A, such that Ax=0"""
# Taken with gratitude from http://stackoverflow.com/questions/5889142/python-numpy-scipy-finding-the-null-space-of-a-matrix
u, s, vh = la.svd(A)
null_mask = (s <= eps)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def SetMeanMetaboliteConcentrationAndStdExcludingMissingValues(self):
boFloats = scipy.array(list(type(Entry)==float for Entry in self.DataArray))
TmpDataArray = scipy.compress(boFloats,scipy.array(self.DataArray))
TmpDataArray = scipy.array(TmpDataArray,dtype=float)
self.MeanMetaboliteConcentrationExcludingMissingValues = TmpDataArray.mean()
self.StdMetaboliteConcentrationExlcudingMissingValues = TmpDataArray.std()
return
def nullspace(M, eps=1e-12):
M = np.array(M)
u, s, vh = sp.linalg.svd(M)
padding = M.shape[1]-s.shape[0]
null_mask = np.concatenate(((s <= eps), np.ones((padding,), dtype=bool)), axis=0)
N = sp.compress(null_mask, vh, axis=0)
return N
def nullspace(A, atol=1e-9):
'''Compute an approximate basis for the nullspace of A using the singular
value decomposition of `A`.
Parameters
----------
'A' = ndarray; A should be at most 2-D. A 1-D array with length k will be
treated as a 2-D with shape (1, k)
'atol' = float; The absolute tolerance for a zero singular value. Singular
values smaller than `atol` are considered to be zero.
'rtol' = float; The relative tolerance. Singular values less than
rtol*smax are considered to be zero, where smax is the largest singular
value.
If both `atol` and `rtol` are positive, the combined tolerance is the
maximum of the two; that is::
tol = max(atol, rtol * smax)
Singular values smaller than `tol` are considered to be zero.
Returns
-------
'ns' = ndarray; If `A` is an array with shape (m, k), then `ns` will be an
array with shape (k, n), where n is the estimated dimension of the
nullspace of `A`. The columns of `ns` are a basis for the
nullspace; each element in numpy.dot(A, ns) will be approximately
zero.
'''
# singular value decomposition
u, s, vh = sp_la.svd(A)
null_mask = (s <= atol)
null_space = sp.compress(null_mask, vh, axis=0)
return sp.transpose(null_space)
def null(A, eps=1e-15):
"""Compute nullspace
Computes a basis for the nullspace of a matrix.
Args:
A (np.array): Rectangular matrix
eps (float): Singular value tolerance for nullspace detection
Returns:
np.array: Basis for matrix nullspace
Examples:
>>> from pybuck import null
>>> import numpy as np
>>> A = np.arange(9).reshape((3, -1))
>>> N = null(A)
"""
u, s, vh = svd(A)
s = pad(s, (0, vh.shape[0] - len(s)), mode='constant')
null_mask = (s <= eps)
null_space = compress(null_mask, vh, axis=0)
return t_mat(null_space)
def dat_Truncate(Data, before=None, after=None, ind=0, direction="Column"):
"""a function that truncate a bidiemnsional array or a list of array
Data : a bidimensional numpy array or a list of monodimensional array
direction : string with value Column or Row,define wich kind of truncation
index : index of the column or row respect wich trucation is done
before :all data with value smaller than it are cutted
after :all data with value bigger than it are cutted
------
if data is a list the direction keyworl will be ignored
N.B.
the index column must be in a growing order
-------
Returns
a truncate array if input was array, else a list
"""
if (before or after) == None:
raise ValueError, (' any limit defined for truncation')
if (before > after):
if after == None: pass
else:
raise ValueError, (
' before= %f bigger than after = %f any value remain!') % (
before, after)
if direction == "Row" or direction == "Column":
pass
else:
raise ValueError, (' direction = string with value Column or Row,')
if isinstance(Data, list):
sbefore = bisect.bisect_left(Data[ind], before)
safter = bisect.bisect_right(Data[ind], after)
if (after) == None:
Data = [item[sbefore:] for item in Data]
elif (before) == None:
Data = [item[:safter] for item in Data]
else:
Data = [item[sbefore:safter] for item in Data]
return Data
if len(Data.shape) == 1:
Data = scipy.compress(((before < Data) & (Data < after)),
Data) #axis =0
else:
if direction == "Row":
Data = Data.transpose()
sbefore = bisect.bisect_left(Data[:, ind], before)
safter = bisect.bisect_right(Data[:, ind], after)
if (after) == None:
Data = Data[sbefore:, :]
elif (before) == None:
Data = Data[:safter, :]
else:
Data = Data[sbefore:safter, :]
if direction == "Row":
Data = Data.transpose()
return Data
def null(A, eps=1e-15): import scipy from scipy import matrix A = matrix(A) u, s, vh = scipy.linalg.svd(A) null_mask = (s <= eps) null_space = scipy.compress(null_mask, vh, axis=0) return scipy.transpose(null_space)
def null(A, eps=1e-15): import scipy from scipy import matrix A = matrix(A) u, s, vh = scipy.linalg.svd(A) null_mask = (s <= eps) null_space = scipy.compress(null_mask, vh, axis=0) return scipy.transpose(null_space)
def null_space(A, eps=1e-13):
"""
Calculate null space of matrix A
"""
_, s, vh = sc.linalg.svd(A)
s = np.append(s, np.zeros(vh.shape[0] - s.shape[0]))
null_mask = s <= eps
return sc.transpose(sc.compress(null_mask, vh, axis=0))
def null(H, eps=1e-12):
from scipy import linalg
u, s, vh = linalg.svd(H)
padding = max(0, np.shape(H)[1] - np.shape(s)[0])
null_mask = np.concatenate(((s <= eps), np.ones((padding, ), dtype=bool)),
axis=0)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def null(A, eps=1e-15):
"""Returns the null-space of the matrix A
Implementation from
http://stackoverflow.com/questions/5889142/python-numpy-scipy-finding-the-null-space-of-a-matrix
"""
u, s, vh = linalg.svd(A)
null_mask = (s < eps)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def null(A, eps=1e-15):
"""Returns the null-space of the matrix A
Implementation from
http://stackoverflow.com/questions/5889142/python-numpy-scipy-finding-the-null-space-of-a-matrix
"""
u, s, vh = linalg.svd(A)
null_mask = (s < eps)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def null(self, A, eps=1e-12):
'''Compute a base of the null space of A.'''
u, s, vh = np.linalg.svd(A)
padding = max(0, np.shape(A)[1] - np.shape(s)[0])
null_mask = np.concatenate(((s <= eps), np.ones(
(padding, ), dtype=bool)),
axis=0)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def null(A, eps=1e-6):
u, s, vh = linalg.svd(A)
np.save('sing_val', arr=s)
padding = max(0, np.shape(A)[1] - np.shape(s)[0])
null_mask = np.concatenate(((s <= eps), np.ones((padding, ), dtype=bool)),
axis=0)
print(null_mask)
null_space = compress(null_mask, vh, axis=0)
return transpose(null_space)
def null(A, eps=1e-15):
"""
Compute nullspace of A. Thanks Robert Kern and Ryan Krauss:
http://stackoverflow.com/questions/5889142/python-numpy-scipy-finding-the-null-space-of-a-matrix
"""
u, s, vh = la.svd(A)
null_mask = (s <= eps)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def main():
parser = OptionParser(usage=usage)
parser.add_option(
"-e", "--epsilon", type=float, dest="eps", default=None, help="set drop-off tolerance [default: %default]"
)
parser.add_option("-o", metavar="figname", dest="figname", default=None, help="save the figure to figname")
parser.add_option(
"-t",
"--transparent",
action="store_true",
dest="transparent",
default=False,
help="save the figure as transparent",
)
parser.add_option(
"-n", "--no-show", action="store_true", dest="no_show", default=False, help="do not show the figure"
)
(options, args) = parser.parse_args()
if len(args) < 1:
print usage
return
filename = args[0]
print filename + ":"
fd = open(filename, "r")
n_row, n_col = map(int, fd.readline().split())
n_item = int(fd.readline())
print n_row, n_col, n_item
ij = nm.zeros((n_item, 2), nm.int32)
val = nm.zeros((n_item,), nm.float64)
for ii, row in enumerate(fd.readlines()):
aux = row.split()
ij[ii] = int(aux[0]), int(aux[1])
val[ii] = float(aux[2])
if options.eps is not None:
print "using", options.eps
ij = nm.compress(nm.absolute(val) > options.eps, ij, 0)
n_item = ij.shape[0]
else:
print "showing all"
print n_item
if n_item:
plot(ij[:, 1] + 0.5, ij[:, 0] + 0.5, linestyle="None", marker=",", markersize=0.5, markeredgewidth=0.1)
axis([-0.5, n_row + 0.5, -0.5, n_col + 0.5])
axis("image")
xlabel("%d x %d: %d nnz, %.2f\%% fill" % (n_row, n_col, n_item, 100.0 * n_item / float(n_row * n_col)))
gca().set_ylim(gca().get_ylim()[::-1])
if options.figname is not None:
savefig(options.figname, transparent=options.transparent)
if not options.no_show:
show()
def null(A, eps=1e-12,sparse=True):
if sparse == True:
X = scipy.sparse.csc_matrix(A)
n=X.shape[1]
u, s, vh = svds(X, n-1, which='SM')
else:
u, s, vh = scipy.linalg.svd(A)
null_mask = (s <= eps)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def edgeNumber_triangles_indexes(list_of_edges_numbers, RWGNumber_signedTriangles):
"""This function returns a 1-D array of the indexes of the triangles corresponding
to a 1-D array of edges_numbers. This function is important for creating lists of triangles
that will participate to the MoM, given a particular criterium concerning the edges."""
indexes_of_triangles_tmp1 = take(RWGNumber_signedTriangles, list_of_edges_numbers, axis=0).flat
indexes_of_triangles_tmp2 = sort(indexes_of_triangles_tmp1, kind='mergesort')
indexes_of_triangles_to_take = ones(indexes_of_triangles_tmp2.shape[0], 'i')
indexes_of_triangles_to_take[1:] = indexes_of_triangles_tmp2[1:] - indexes_of_triangles_tmp2[:-1]
indexes_of_triangles = compress(indexes_of_triangles_to_take != 0, indexes_of_triangles_tmp2)
return indexes_of_triangles.astype('i')
def calc_null_space3(A_spar,tjek=False):
eps = 1e-12
u, s, vh = scipy.sparse.linalg.svds(A_spar,k=min(A_spar.shape)-1,which='SM',tol=eps)
N= scipy.sparse.csr_matrix(scipy.compress(s<=eps,vh,axis=0).T)
if tjek :
if A_spar.dot(N).max()>1e-3:
logger.warning('Nullspace tollerence violated')
else :
logger.info('Nullspace is good')
return N
def get_intervals(traj):
# We want to break up our integrals when events fire, so first we figure out
# when they fired by looking for duplicated times in the trajectory
times = traj.get_times()
eventIndices = scipy.compress(scipy.diff(times) == 0,
scipy.arange(len(times)))
intervals = zip([0] + list(eventIndices + 1),
list(eventIndices + 1) + [len(times)])
return intervals
def get_intervals(traj):
# We want to break up our integrals when events fire, so first we figure out
# when they fired by looking for duplicated times in the trajectory
times = traj.get_times()
eventIndices = scipy.compress(scipy.diff(times) == 0,
scipy.arange(len(times)))
intervals = zip([0] + list(eventIndices + 1),
list(eventIndices + 1) + [len(times)])
return intervals
def FilterSEs(self,
XmlObj=lxml.etree._ElementTree,
DCs=DataContainer.DataContainers,
ColumnTag=str,
boDryRun=False):
FiltersTag = None
if(boDryRun):
FiltersTag = 'DryRunFilters'
else:
FiltersTag = 'Filters'
FilterTags = XmlObj.getroot().find('MtbGWAColumns').find(ColumnTag).find(FiltersTag).text.split(',')
self.InitFilterReportDictDict(ColumnTag)
FilterArray = None
for Tag in FilterTags:
Operator = XmlObj.getroot().find('QCFilters').find(Tag).find('Operator').text
CompareValue = XmlObj.getroot().find('QCFilters').find(Tag).find('Compare').text
ValueType = XmlObj.getroot().find('QCFilters').find(Tag).find('CompareType').text
FFunction = FilterFunction.FilterFunction(OperatorString=Operator,
CompareString=CompareValue,
CompareType=ValueType)
InitLength = len(DCs.DataContainers[ColumnTag].GetDataArray())
FinalLength = None
FilterArray = FFunction.Run(DataArray=DCs.DataContainers[ColumnTag].GetDataArray())
if(not boDryRun):
for Key in DCs.DataContainers.iterkeys():
DataArray = scipy.compress(FilterArray,
DCs.DataContainers[Key].GetDataArray())
DCs.DataContainers[Key].ReplaceDataArray(DataArray)
FinalLength = len(DCs.DataContainers[ColumnTag].GetDataArray())
else:
CounterDict = collections.defaultdict(int)
for Entry in FilterArray:
CounterDict[Entry] += 1
Difference = CounterDict[False]
FinalLength = InitLength-Difference
self.SetFilterReportDictDict(ParentTag=ColumnTag,
ChildTag=Tag,
Value='Column Tag = '+ColumnTag+'\n'+\
'Filter Tag = '+Tag+'\n'+\
'Start Length = '+str(InitLength)+'\n'+\
'Final Length = '+str(FinalLength)+'\n'+\
'Difference = '+str(InitLength-FinalLength))
return DCs,\
FilterTags
def nulls2(a, rtol=1e-12):
from sparsesvd import sparsesvd
smat = scipy.sparse.csc_matrix(a)
ut, s, vt = sparsesvd(smat, np.min(a.shape))
print vt.shape
padding = max(0,max(np.shape(a))-np.shape(s)[0])
null_mask = np.concatenate(((s <= rtol), np.ones((padding,),dtype=bool)),axis=0)
print null_mask.shape
null_space = scipy.compress(null_mask, vt, axis=0)
rank = (s > rtol*s[0]).sum()
return s, rank, scipy.transpose(null_space)
def null(A, eps=1e-6):
u, s, vh = numpy.linalg.svd(A, full_matrices=1, compute_uv=1)
null_rows = []
rank = numpy.linalg.matrix_rank(A)
for i in range(A.shape[1]):
if i < rank:
null_rows.append(False)
else:
null_rows.append(True)
null_space = scipy.compress(null_rows, vh, axis=0)
return null_space.T
def CompleteBase(V, B, eps=1e-4):
tbase = append(V, B, axis=1)
p, l, u = lu(tbase)
echelon = zeros(u.shape[1], int)
for row in u:
tmp = nonzero(abs(row) > eps)[0]
if tmp.size:
echelon[tmp[0]] = 1
return compress(echelon, tbase, axis=1)
def is_surface_closed(triangles_surfaces, edgeNumber_triangles):
"""this function determines if a surface is open or closed.
it also provides relationships between surfaces (linked or not)"""
S = max(triangles_surfaces)+1
NUMBER_TRIANGLES_IN_SURFACE = zeros(S, 'i')
for s in triangles_surfaces:
NUMBER_TRIANGLES_IN_SURFACE[s] += 1
connected_surfaces = {}
# we now count the number of INNER edges for each surface.
# the edges that are junctions receive a special treatment:
# only if the edge has two triangles on the given surface,
# can it be counted as an inner edge, which will then be
# counted in NUMBER_EDGES_IN_SURFACE
NUMBER_EDGES_IN_SURFACE = zeros(S, 'i')
for edge_number, triangles_tmp in edgeNumber_triangles.items():
surfaces_appeared_already = zeros(S, 'i')
if len(triangles_tmp)>2: # we have a junction here
for t in triangles_tmp:
surface = triangles_surfaces[t]
if surfaces_appeared_already[surface]==0:
surfaces_appeared_already[surface] = 1
else:
NUMBER_EDGES_IN_SURFACE[surface] += 1
surfaces_present = compress(surfaces_appeared_already>0, arange(S))
if len(surfaces_present)==2:
s0, s1 = min(surfaces_present), max(surfaces_present)
if (s0, s1) in connected_surfaces:
connected_surfaces[(s0, s1)].append(edge_number)
else:
connected_surfaces[(s1, s0)] = [edge_number]
else:
for index1 in arange(len(surfaces_present)):
for index2 in arange(index1+1, len(surfaces_present)):
s1 = min(surfaces_present[index1], surfaces_present[index2])
s2 = max(surfaces_present[index1], surfaces_present[index2])
if (s1, s2) in connected_surfaces:
connected_surfaces[(s1, s2)].append(edge_number)
else:
connected_surfaces[(s1, s2)] = [edge_number]
else:
surface = triangles_surfaces[triangles_tmp[0]]
NUMBER_EDGES_IN_SURFACE[surface] += 1
is_closed_surface = ( (NUMBER_EDGES_IN_SURFACE*2) == (NUMBER_TRIANGLES_IN_SURFACE*3) )
# we now check for potential closed surfaces: surfaces which can be closed
# and on which we can therefore apply the CFIE
potential_closed_surfaces = {}
for key, item in connected_surfaces.items():
s0, s1 = key[0], key[1]
numberEdges0, numberEdges1 = NUMBER_EDGES_IN_SURFACE[s0], NUMBER_EDGES_IN_SURFACE[s1]
numberTriangles0, numberTriangles1 = NUMBER_TRIANGLES_IN_SURFACE[s0], NUMBER_TRIANGLES_IN_SURFACE[s1]
if ( numberEdges0 + numberEdges1 + len(item) )*2 == 3*(numberTriangles0 + numberTriangles1):
potential_closed_surfaces[key] = item
return is_closed_surface * 1, connected_surfaces, potential_closed_surfaces
def null(A, eps=1e-6):
u, s, vh = numpy.linalg.svd(A,full_matrices=1,compute_uv=1)
null_rows = [];
rank = numpy.linalg.matrix_rank(A)
for i in range(A.shape[1]):
if i<rank:
null_rows.append(False);
else:
null_rows.append(True);
null_space = scipy.compress(null_rows, vh, axis=0)
return null_space.T
def compute_stationary_dist(Pt):
eps = 1e-15
u,s,vh = linalg.svd((np.eye(Pt.shape[0]) - Pt).T)
null_mask = (s<eps)
null_space = scipy.compress(null_mask, vh, axis = 0)
#print 'nullspace:',null_space
Pi = null_space[0]/null_space[0].sum()
if (Pi<0).sum()>0 or null_space.shape[0]>1:
print Pt
print null_space
print Pi
assert (Pi<0).sum()==0
return Pi
def null(A, eps=1e-10):
"""
null-space of a Matrix or 2d-array
"""
n, m = A.shape
if n > m :
return null(A.T, eps).T
#return null(scipy.transpose(A), eps)
u, s, vh = sc.linalg.svd(A)
s=sc.append(s,sc.zeros(m))[0:m]
null_mask = (s <= eps)
null_space = sc.compress(null_mask, vh, axis=0)
return null_space.T
def nullspace(A, eps=1e-15):
u, s, vh = sp.linalg.svd(A, full_matrices=1, compute_uv=1)
# Pad so that we get the nullspace of a wide matrix.
N = A.shape[1]
K = s.shape[0]
if K < N:
s[K + 1:N] = 0
s2 = np.zeros((N))
s2[0:K] = s
s = s2
null_mask = (s <= eps)
null_space = sp.compress(null_mask, vh, axis=0)
return sp.transpose(null_space)
def root_inv(A, eps=1e-8):
"""Function:
Get A^-1/2 based on SVD. Dimensions may be reduced.
Author(s): Takashi Tsuchimochi
"""
u, s, vh = np.linalg.svd(A, hermitian=True)
mask = s >= eps
red_u = sp.compress(mask, u, axis=1)
# Diagonal matrix of s**-1/2
sinv2 = np.diag([1 / np.sqrt(i) for i in s if i > eps])
Sinv2 = red_u @ sinv2
return Sinv2
def null(X,eps=1e-8):
""" Define null space function for solving AP=0 """
Solution=0
u, s, vh = scipy.linalg.svd(X) # Single value decomposition
null_mask = (np.absolute(s) <= eps)
null_space = scipy.compress(null_mask, vh, axis=0) # Find corresponding vectors
n,m=np.shape(null_space)
for i in range(0,n): # Choose only solutions that can be probabilities
positive=np.greater_equal(null_space[i,:],np.zeros(m))
negative=np.less_equal(null_space[i,:],np.zeros(m))
if (np.all(positive)==True or np.all(negative)==True): # Ensure sum(Pi)=1
Solution=np.absolute(null_space[i,:])
Solution=Solution/np.sum(Solution)
return scipy.transpose(Solution)
def _sampling_matrix(hessian, cutoff=None, diag = None, temperature=1, step_scale=1):
# basically need SVD of hessian - singular values and eigenvectors
# hessian = u * diag(singVals) * vh
#u, sing_vals, vh = scipy.linalg.svd(hessian)
# scroll through the singular values and find the ones whose inverses will
# be huge and set them to zero also, load up the array of singular values
# that we store
# cutoff = (1.0/_.singVals[0])*1.0e03
# double cutoff = _.singVals[0]*1.0e-02
# when cutoff is set to zero it means that all values are included
# cutoff*(sloppiest eigenvalue)
if cutoff:
u, sing_vals, vh = scipy.linalg.svd(hessian)
cutoff_sing_val = cutoff * max(sing_vals)
#when cutoff is set to zero it means that all values are included
D = 1.0/scipy.maximum(sing_vals, cutoff_sing_val)
samp_mat = scipy.transpose(vh)*scipy.sqrt(D)
# instead of cutoff use another method, adding diagonal term to hessian
elif diag is not None:
u, sing_vals, vh = scipy.linalg.svd(hessian+diag)
D = 1.0/sing_vals
samp_mat = scipy.transpose(vh)*scipy.sqrt(D)
cutoff_sing_val = diag[0,0]
else:
u, sing_vals, vh = scipy.linalg.svd(hessian)
D = 1.0/sing_vals
samp_mat = scipy.transpose(vh)*scipy.sqrt(D)
cutoff_sing_val = 0
## now fill in the sampling matrix ("square root" of the Hessian)
## note that sqrt(D[i]) is taken here whereas Kevin took sqrt(D[j])
## this is because vh is the transpose of his PT -JJW
#samp_mat = scipy.transpose(vh) * scipy.sqrt(D)
# Divide the sampling matrix by an additional factor such
# that the expected quadratic increase in cost will be about 1.
cutoff_vals = scipy.compress(sing_vals < cutoff_sing_val, sing_vals)
if len(cutoff_vals):
scale = scipy.sqrt(len(sing_vals) - len(cutoff_vals)
+ sum(cutoff_vals)/cutoff_sing_val)
else:
scale = scipy.sqrt(len(sing_vals))
samp_mat /= scale
samp_mat *= step_scale
samp_mat *= scipy.sqrt(temperature)
return samp_mat
def get_U(self, eps=1e-5):
from scipy import linalg, compress
# get the null matrix N of M
# such that U=[M;N] is orthogonal
M = self.M.detach().cpu()
A = torch.zeros(M.shape[1] - M.shape[0], M.shape[1])
A = torch.cat([M, A])
u, s, vh = linalg.svd(A.numpy())
null_mask = (s <= eps)
null_space = compress(null_mask, vh, axis=0)
N = torch.tensor(null_space)
return torch.cat([self.M, N.to(self.M.device)])
def nullspace(A, myeps=1e-10):
"""The RumPath class needs the ability to compute the null-space of
a small matrix. This is provided here. But we now also need scipy!
This routine was copy-pasted from
http://stackoverflow.com/questions/5889142/python-numpy-scipy-finding-the-null-space-of-a-matrix
How the h*** does numpy/scipy not have a null-space implemented?
"""
u, s, vh = scipy.linalg.svd(A)
padding = max(0, np.shape(A)[1] - np.shape(s)[0])
null_mask = np.concatenate(((s <= myeps),
np.ones((padding,),dtype=bool)),
axis=0)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def nullspace(A, myeps=1e-10):
"""The RumPath class needs the ability to compute the null-space of
a small matrix. This is provided here. But we now also need scipy!
This routine was copy-pasted from
http://stackoverflow.com/questions/5889142/python-numpy-scipy-finding-the-null-space-of-a-matrix
How the h*** does numpy/scipy not have a null-space implemented?
"""
u, s, vh = scipy.linalg.svd(A)
padding = max(0, np.shape(A)[1] - np.shape(s)[0])
null_mask = np.concatenate(((s <= myeps), np.ones(
(padding, ), dtype=bool)),
axis=0)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(null_space)
def null(A, eps=1e-15):
"""Computes a basis for the nullspace of a matrix
Usage
N = null(A)
Arguments
A = rectangular matrix
Keyword Arguments
eps = singular value tolerance for nullspace detection
Returns
N = matrix of column vectors; basis for nullspace
"""
u, s, vh = svd(A)
s = pad(s,(0,vh.shape[0]-len(s)),mode='constant')
null_mask = (s <= eps)
null_space = compress(null_mask, vh, axis=0)
return transpose(null_space)
def normal2points(p1, eps=1e-13):
'''
normal vector defined by a surface made from the group of
points
p1 : [#, 3] matrix, where # is the number of points
'''
p1 = np.hstack([p1, np.atleast_2d(np.array([1] * len(p1))).transpose()])
u, s, vh = np.linalg.svd(p1)
null_mask = (s <= eps)
if sum(null_mask) == 0:
print("no null space??", p1, s)
null_space = scipy.compress(null_mask, vh, axis=0)
norm = null_space[0, :3]
norm = norm / np.sqrt(np.sum(norm**2))
return norm
def find_nullspace(M):
"""
Convenient function that finds the nullspace of a matrix M using SVD.
Inputs:
M -> matrix
Outputs:
null_space -> array of nullspace vectors
"""
U, S, V = np.linalg.svd(M)
eps = 1e-13 #that threshold
null_mask = (S <= eps)
null_space = scipy.compress(null_mask, V, axis=0)
return null_space
def FilterChrs(self,
XmlObj=lxml.etree._ElementTree,
DCs=DataContainer.DataContainers,
ColumnTag=str):
FilterTags = XmlObj.getroot().find('MtbGWAColumns').find(ColumnTag).find('Filters').text.split(',')
self.InitFilterReportDictDict(ColumnTag)
FilterArray = None
for Tag in FilterTags:
Operator = XmlObj.getroot().find('QCFilters').find(Tag).find('Operator').text
CompareValues = XmlObj.getroot().find('QCFilters').find(Tag).find('Compare').text.split(',')
ValueType = XmlObj.getroot().find('QCFilters').find(Tag).find('CompareType').text
FilterArray = None
for i in range(len(CompareValues)):
CValue = CompareValues[i]
FFunction = FilterFunction.FilterFunction(OperatorString=Operator,
CompareString=CValue,
CompareType=ValueType)
if(i==0):
FilterArray = FFunction.Run(DataArray=DCs.DataContainers[ColumnTag].GetDataArray())
else:
FilterArray = (FilterArray | FFunction.Run(DataArray=DCs.DataContainers[ColumnTag].GetDataArray()))
InitLength = len(DCs.DataContainers[ColumnTag].GetDataArray())
for Key in DCs.DataContainers.iterkeys():
DataArray = scipy.compress(FilterArray,
DCs.DataContainers[Key].GetDataArray())
DCs.DataContainers[Key].ReplaceDataArray(DataArray)
FinalLength = len(DCs.DataContainers[ColumnTag].GetDataArray())
self.SetFilterReportDictDict(ParentTag=ColumnTag,
ChildTag=Tag,
Value='Column Tag = '+ColumnTag+'\n'+\
'Filter Tag = '+Tag+'\n'+\
'Start Length = '+str(InitLength)+'\n'+\
'Final Length = '+str(FinalLength)+'\n'+\
'Difference = '+str(InitLength-FinalLength))
return DCs,\
FilterTags
def main():
parser = OptionParser( usage = usage )
parser.add_option( "-e", "--epsilon", type = float,
dest = "eps", default = None,
help = "set drop-off tolerance [default: %default]" )
(options, args) = parser.parse_args()
if len( args ) < 1:
print usage
return
filename = args[0]
print filename + ':'
fd = open( filename, "r" )
n_row, n_col = map( int, fd.readline().split() )
n_item = int( fd.readline() )
print n_row, n_col, n_item
ij = nm.zeros( (n_item,2), nm.int32 )
val = nm.zeros( (n_item,), nm.float64 )
for ii, row in enumerate( fd.readlines() ):
aux = row.split()
ij[ii] = int( aux[0] ), int( aux[1] )
val[ii] = float( aux[2] )
if options.eps is not None:
print 'using', options.eps
ij = nm.compress( nm.absolute( val ) > options.eps, ij, 0 )
n_item = ij.shape[0]
else:
print 'showing all'
print n_item
if n_item:
plot( ij[:,1] + 0.5, ij[:,0] + 0.5, linestyle = 'None',
marker = ',', markersize = 0.5, markeredgewidth = 0.1 )
axis( [-0.5, n_row+0.5, -0.5, n_col+0.5] )
axis( 'image' )
xlabel( '%d x %d: %d nnz, %.2f\%% fill'
% (n_row, n_col, n_item, 100. * n_item / float( n_row * n_col )) )
gca().set_ylim( gca().get_ylim()[::-1] )
show()
def evaluate_interpolated_traj(self,dv_id,time,subinterval=None,der=0) :
""" Needs Trajectory.build_interpolated_traj() to be called first
Arguments:
dvid the name of the component of the trajectory you wish to
evaluate
time a vector of times or a scalar
subinterval an optional argument specifying the time interval
between events that the time argument lies (but given a
valid time, it will be found automatically)
der the derivative of the spline function you want, the order
of the derivative will be constrained by the order of the
interpolated spline
Outputs:
A single scalar value (if time input is a scalar)
or
(returned_times, interpolated_trajectory at those times) if times is a
vector
Note: It is necessary to have a returned_times argument too, in case
the times passed in happens to have a timepoint that corresponds
to an event time, which often has two trajectory values associated
with it.
"""
if scipy.isscalar(time) :
time = scipy.asarray([time]) # if a scalar was passed in, convert to an array
else :
time = scipy.asarray(time)
local_tcks = self.tcks
sorted_intervals = scipy.sort(local_tcks.keys(),axis=0)
if subinterval is not None : # confine things to just one interval
if subinterval not in local_tcks.keys() :
raise "Not a valid subinterval (not in Trajectory.tcks.keys())"
else :
sorted_intervals = [[subinterval[0],subinterval[1]]]
interval_start_ind = 0
interval_end_ind = 0
else :
# sorted_intervals ends up being a list of lists, each length 2, not tuples anymore
for interval_ind, interval in enumerate(sorted_intervals) :
start_time, end_time = interval[0],interval[1]
if (time[0] >= start_time) :
interval_start_ind = interval_ind
if (time[-1] <= end_time) :
interval_end_ind = interval_ind
break
dv_y = []
returned_times = []
dv_ind = self.key_column.keyToIndex[dv_id]
for interval in sorted_intervals[interval_start_ind:(interval_end_ind+1)] :
currTimes = scipy.compress( scipy.logical_and((time>=interval[0]),(time<=interval[1])) , time )
startslice, endslice = 0, None
if len(currTimes) > 1 :
if (currTimes[0]==currTimes[1]) :
# skip the first time point because it's repeated
startslice = 1
if (currTimes[-1]==currTimes[-2]) :
# skip the last time point because it's repeated
endslice = -1
dv_y.extend( scipy.interpolate.splev(currTimes[startslice:endslice],
local_tcks[(interval[0],interval[1])][dv_ind],der=der) )
returned_times.extend(currTimes[startslice:endslice])
elif len(currTimes) == 1: # explicitly check, because len(currTimes) could = 0
dv_y.extend( [ scipy.interpolate.splev(currTimes, local_tcks[(interval[0],interval[1])][dv_ind],der=der) ])
returned_times.extend(currTimes[startslice:endslice])
if len(returned_times) == 1 :
return dv_y[0]
else :
return returned_times,dv_y
def null(A, eps=1e-10):
u, s, vh = scipy.linalg.svd(A)
null_mask = (s <= eps)
null_space = scipy.compress(null_mask, vh, axis=0)
return scipy.transpose(scipy.conj(null_space))
NGenes = len(Genes)
DataDict[Trait]['NGenes'] = NGenes
os.remove(DecomprFile)
for Alpha in AlphaLvls:
BH = statsmodels.stats.multitest.multipletests(pvals=PVals,
alpha=Alpha,
method='fdr_bh',
returnsorted=False)
DataDict[Trait]['Alpha_'+str(Alpha)] = Alpha
DataDict[Trait]['AlphaBonf_'+str(Alpha)] = BH[3]
BHPVals = scipy.array(['BHp_value_alpha='+str(Alpha)])
BHPVals = scipy.append(BHPVals,BH[1].astype(str))
Data = scipy.vstack((Data,BHPVals))
BHAccept = scipy.array(['BHAccept_alpha='+str(Alpha)])
BHAccept = scipy.append(BHAccept,BH[0].astype(str))
DataDict[Trait]['GeneSetAtAlpha_'+str(Alpha)] = scipy.compress(condition=BH[0],
a=Genes).tolist()
Data = scipy.vstack((Data,BHAccept))
OutFile = os.path.join('Data',os.path.basename(DecomprFile))
scipy.save(file=OutFile,
arr=Data)
os.system('lbzip2 -f '+OutFile)
print OutFile
fw = open('Data/DataDict.json','w')
json.dump(obj=DataDict,
fp=fw)
fw.close()
os.system('lbzip2 -f Data/DataDict.json')
AllGenesFile = 'Data/UniqGenesOverAllTraits.npy'
scipy.save(file=AllGenesFile,
arr=AllGenes)
def PlotManhattan(self, xname=str, yname=str, Log=Logger):
LogString = "**** Generating Manhattan plot ..."
print LogString
Log.Write(LogString + "\n")
PylabParameters, Rectangle = self.PylabUpdateParams()
pylab.rcParams.update(PylabParameters)
PylabFigure = pylab.figure()
PylabFigure.clf()
PylabAxis = PylabFigure.add_axes(Rectangle)
XMax = 0
XTicks = []
XTickLabels = []
for i in range(len(self.List)):
DCs = self.List[i]
XName = ""
YName = ""
for Key in DCs.DataContainers.iterkeys():
if re.search(xname, Key):
XName = Key
if re.search(yname, Key):
YName = Key
X = []
Y = []
for i in range(len(DCs.DataContainers[YName].GetDataArray())):
YEntry = DCs.DataContainers[YName].GetDataArray()[i]
XEntry = DCs.DataContainers[XName].GetDataArray()[i]
if YEntry != "-1":
Y.append(float(YEntry))
X.append(int(XEntry))
else:
Y.append(1.0)
X.append(int(XEntry))
XTicks.append(0.5 * (min(X) + max(X)) + XMax)
XTickLabels.append(r"${\rm " + DCs.Label + "}$")
X = scipy.array(X) + XMax
XMax = X.max() + self.OffsetBetweenChrs
Y = -scipy.log10(scipy.array(Y))
YInsign = Y < -scipy.log10(1.0e-6)
YSign = Y > -scipy.log10(5.0e-8)
YSugg = Y >= -scipy.log10(1.0e-6)
YSugg *= Y <= -scipy.log10(5.0e-8)
YY = scipy.compress(YInsign, Y)
if len(YY) > 0:
PylabAxis.scatter(x=scipy.compress(YInsign, X), y=YY, color=DCs.Color, s=0.5)
YY = scipy.compress(YSugg, Y)
if len(YY) > 0:
PylabAxis.scatter(x=scipy.compress(YSugg, X), y=YY, color=DCs.Color, s=5.0)
YY = scipy.compress(YSign, Y)
if len(YY) > 0:
PylabAxis.scatter(x=scipy.compress(YSign, X), y=YY, color=DCs.Color, s=10.0)
XSign = scipy.array(PylabAxis.get_xlim())
YSign = -scipy.log10(scipy.array([5.0e-8, 5.0e-8]))
PylabAxis.plot(
XSign, YSign, linestyle="--", color="grey", label=r"${\rm " + self.PhenotypeName + "}$", linewidth=1.25
)
XSugg = scipy.array(PylabAxis.get_xlim())
YSugg = -scipy.log10(scipy.array([1.0e-6, 1.0e-6]))
PylabAxis.plot(XSugg, YSugg, linestyle=":", color="grey", linewidth=1.25)
PylabAxis.set_ylim([0.0, PylabAxis.get_ylim()[1]])
# PylabAxis.set_xlim([-5e7,PylabAxis.get_xlim()[1]])
PylabAxis.set_xlim([0, XMax])
Handles, Labels = PylabAxis.get_legend_handles_labels()
PylabAxis.legend(Handles, Labels, fancybox=True, shadow=True, loc="best")
PylabAxis.set_xlabel(r"$\rm position$")
PylabAxis.spines["right"].set_visible(False)
PylabAxis.spines["top"].set_visible(False)
PylabAxis.xaxis.set_ticks_position("bottom")
PylabAxis.yaxis.set_ticks_position("left")
PylabAxis.xaxis.set_ticks(XTicks)
PylabAxis.xaxis.set_ticklabels(XTickLabels)
for Label in PylabAxis.xaxis.get_ticklabels():
Label.set_rotation(90)
PylabAxis.set_ylabel(r"$-{\rm log}_{10}(p-{\rm value})$")
PylabFigure.savefig("Manhattan_" + self.PhenotypeName + ".png")
PylabAxis.clear()
pylab.close(PylabFigure)
del PylabFigure
del PylabAxis
return