def checkSBratio(text):
logging.info("Checking the formula ...")
text = text.replace("ES", "z")
text = text.replace("EB", "t")
text = text.replace("S", "x")
text = text.replace("B", "y")
from ROOT import TFormula
formula = TFormula()
test = formula.Compile(text)
return (test == 0)
def formulaSBratio(self):
from ROOT import TFormula
text = self.main.SBratio
text = text.replace("S", "x")
text = text.replace("B", "y")
self.Mformula = TFormula("SBratio", text)
text = self.main.SBerror
text = text.replace("ES", "z")
text = text.replace("EB", "t")
text = text.replace("S", "x")
text = text.replace("B", "y")
self.Eformula = TFormula("SBerror", text)
def getNparams(self):
'''Get the number of parameters in the formula (not counting "x" or "y").
Converts the formula formating and uses ROOT's TFormula to count.
Returns:
int: Number of parameters in the fit (not counting "x" or "y").
'''
return TFormula('tempFormula',roofit_form_to_TF1(self.formula)).GetNpar()
c1 = TCanvas( 'c1', 'The FillRandom example', 200, 10, 700, 900 ) c1.SetFillColor( 18 ) pad1 = TPad( 'pad1', 'The pad with the function', 0.05, 0.50, 0.95, 0.95, 21 ) pad2 = TPad( 'pad2', 'The pad with the histogram', 0.05, 0.05, 0.95, 0.45, 21 ) pad1.Draw() pad2.Draw() pad1.cd() gBenchmark.Start( 'fillrandom' ) # # A function (any dimension) or a formula may reference # an already defined formula # form1 = TFormula( 'form1', 'abs(sin(x)/x)' ) sqroot = TF1( 'sqroot', 'x*gaus(0) + [3]*form1', 0, 10 ) sqroot.SetParameters( 10, 4, 1, 20 ) pad1.SetGridx() pad1.SetGridy() pad1.GetFrame().SetFillColor( 42 ) pad1.GetFrame().SetBorderMode( -1 ) pad1.GetFrame().SetBorderSize( 5 ) sqroot.SetLineColor( 4 ) sqroot.SetLineWidth( 6 ) sqroot.Draw() lfunction = TPaveLabel( 5, 39, 9.8, 46, 'The sqroot function' ) lfunction.SetFillColor( 41 ) lfunction.Draw() c1.Update()
#
# To see the graphics output of this macro, click begin_html <a href="gif/formula1.gif">here</a>. end_html
#
from ROOT import TCanvas, TFormula, TF1
from ROOT import gROOT, gObjectTable
c1 = TCanvas('c1', 'Example with Formula', 200, 10, 700, 500)
# We create a formula object and compute the value of this formula
# for two different values of the x variable.
form1 = TFormula('form1', 'sqrt(abs(x))')
form1.Eval(2)
form1.Eval(-45)
# Create a one dimensional function and draw it
fun1 = TF1('fun1', 'abs(sin(x)/x)', 0, 10)
c1.SetGridx()
c1.SetGridy()
fun1.Draw()
c1.Update()
# Before leaving this demo, we print the list of objects known to ROOT
#
if (gObjectTable):
gObjectTable.Print()
def test_evaluate():
# create functions and histograms
f1 = TF1("f1", "x")
f2 = TF2("f2", "x*y")
f3 = TF3("f3", "x*y*z")
h1 = TH1D("h1", "", 10, 0, 1)
h1.FillRandom("f1")
h2 = TH2D("h2", "", 10, 0, 1, 10, 0, 1)
h2.FillRandom("f2")
h3 = TH3D("h3", "", 10, 0, 1, 10, 0, 1, 10, 0, 1)
h3.FillRandom("f3")
# generate random arrays
arr_1d = np.random.rand(5)
arr_2d = np.random.rand(5, 2)
arr_3d = np.random.rand(5, 3)
arr_4d = np.random.rand(5, 4)
# evaluate the functions
assert_array_equal(rnp.evaluate(f1, arr_1d), map(f1.Eval, arr_1d))
assert_array_equal(rnp.evaluate(f1.GetTitle(), arr_1d),
map(f1.Eval, arr_1d))
assert_array_equal(rnp.evaluate(f2, arr_2d),
[f2.Eval(*x) for x in arr_2d])
assert_array_equal(rnp.evaluate(f2.GetTitle(), arr_2d),
[f2.Eval(*x) for x in arr_2d])
assert_array_equal(rnp.evaluate(f3, arr_3d),
[f3.Eval(*x) for x in arr_3d])
assert_array_equal(rnp.evaluate(f3.GetTitle(), arr_3d),
[f3.Eval(*x) for x in arr_3d])
# 4d formula
f4 = TFormula('test', 'x*y+z*t')
assert_array_equal(rnp.evaluate(f4, arr_4d),
[f4.Eval(*x) for x in arr_4d])
# evaluate the histograms
assert_array_equal(rnp.evaluate(h1, arr_1d),
[h1.GetBinContent(h1.FindBin(x)) for x in arr_1d])
assert_array_equal(rnp.evaluate(h2, arr_2d),
[h2.GetBinContent(h2.FindBin(*x)) for x in arr_2d])
assert_array_equal(rnp.evaluate(h3, arr_3d),
[h3.GetBinContent(h3.FindBin(*x)) for x in arr_3d])
# create a graph
g = TGraph(2)
g.SetPoint(0, 0, 1)
g.SetPoint(1, 1, 2)
assert_array_equal(rnp.evaluate(g, [0, .5, 1]), [1, 1.5, 2])
from ROOT import TSpline3
s = TSpline3("spline", g)
assert_array_equal(rnp.evaluate(s, [0, .5, 1]), map(s.Eval, [0, .5, 1]))
# test exceptions
assert_raises(TypeError, rnp.evaluate, object(), [1, 2, 3])
assert_raises(ValueError, rnp.evaluate, h1, arr_2d)
assert_raises(ValueError, rnp.evaluate, h2, arr_3d)
assert_raises(ValueError, rnp.evaluate, h2, arr_1d)
assert_raises(ValueError, rnp.evaluate, h3, arr_1d)
assert_raises(ValueError, rnp.evaluate, h3, arr_2d)
assert_raises(ValueError, rnp.evaluate, f1, arr_2d)
assert_raises(ValueError, rnp.evaluate, f2, arr_3d)
assert_raises(ValueError, rnp.evaluate, f2, arr_1d)
assert_raises(ValueError, rnp.evaluate, f3, arr_1d)
assert_raises(ValueError, rnp.evaluate, f3, arr_2d)
assert_raises(ValueError, rnp.evaluate, g, arr_2d)
assert_raises(ValueError, rnp.evaluate, s, arr_2d)
assert_raises(ValueError, rnp.evaluate, "f", arr_1d)
assert_raises(ValueError, rnp.evaluate, "x*y", arr_1d)
assert_raises(ValueError, rnp.evaluate, "x", arr_2d)
assert_raises(ValueError, rnp.evaluate, "x*y", arr_3d)
def suggestSBerror(self):
# create a TFormula with the SBratio formula
text = self.SBratio.replace("S", "x")
text = text.replace("B", "y")
from ROOT import TFormula
ref = TFormula('SBratio', text)
ref.Optimize()
# Loop over SBerror formula and comparing
for k, v in Main.SBformula.iteritems():
text = k.replace("S", "x")
text = text.replace("B", "y")
error = TFormula('SBerror', text)
error.Optimize()
if ref.GetExpFormula() == error.GetExpFormula():
logging.info(
"Formula corresponding to the uncertainty calculation has been found and set to the variable main.SBerror :"
)
logging.info(' ' + v)
self.SBerror = v
return True
# Loop over SBerror formula and comparing
# reverse S and B
for k, v in Main.SBformula.iteritems():
text = k.replace("S", "y")
text = text.replace("B", "x")
error = TFormula('SBerror', text)
error.Optimize()
if ref.GetExpFormula() == error.GetExpFormula():
logging.info(
"Formula corresponding to the uncertainty calculation has been found and set to the variable main.SBerror :"
)
v = v.replace('ES', 'ZZ')
v = v.replace('EB', 'TT')
v = v.replace('S', 'SS')
v = v.replace('B', 'BB')
v = v.replace('SS', 'B')
v = v.replace('BB', 'S')
v = v.replace('ZZ', 'EB')
v = v.replace('TT', 'ES')
logging.info(' ' + v)
self.SBerror = v
return True
def SFB_Lookup(self, Y,HF ):
weightSFb,weightSFb_down,weightSFb_up = 1.0,1.0,1.0
#print [weightSFb,weightSFb_down,weightSFb_up]
ptminsfb = [100.0,140.0,200.0,300.0,600.0,]
ptmaxsfb = [140.0,200.0,300.0,600.0,1000.0,]
if HF==5:
SFb = TFormula("SFb","0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x)))")
SFb_down = [
TFormula("SFb_down_1","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.010811596177518368"),
TFormula("SFb_down_2","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.010882497765123844"),
TFormula("SFb_down_3","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.013456921093165874"),
TFormula("SFb_down_4","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.017094610258936882"),
TFormula("SFb_down_5","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.02186630479991436")
]
SFb_up = [
TFormula("SFb_up_1","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.010811596177518368"),
TFormula("SFb_up_2","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.010882497765123844"),
TFormula("SFb_up_3","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.013456921093165874"),
TFormula("SFb_up_4","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.017094610258936882"),
TFormula("SFb_up_5","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.02186630479991436")
]
elif HF==4:
SFb = TFormula("SFb","0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x)))")
SFb_down = [
TFormula("SFb_down_1","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.027028990909457207"),
TFormula("SFb_down_2","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.027206243947148323"),
TFormula("SFb_down_3","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.033642303198575974"),
TFormula("SFb_down_4","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.04273652657866478"),
TFormula("SFb_down_5","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))-0.054665762931108475")
]
SFb_up = [
TFormula("SFb_up_1","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.027028990909457207"),
TFormula("SFb_up_2","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.027206243947148323"),
TFormula("SFb_up_3","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.033642303198575974"),
TFormula("SFb_up_4","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.04273652657866478"),
TFormula("SFb_up_5","(0.887973*((1.+(0.0523821*x))/(1.+(0.0460876*x))))+0.054665762931108475")
]
else:
SFb = TFormula("SFb","1.13904+-0.000594946*x+1.97303e-06*x*x+-1.38194e-09*x*x*x")
SFb_down = [
TFormula("SFb_down_1","(1.13904+-0.000594946*x+1.97303e-06*x*x+-1.38194e-09*x*x*x)*(1-(0.0996438+-8.33354e-05*x+4.74359e-08*x*x))"),
TFormula("SFb_down_2","(1.13904+-0.000594946*x+1.97303e-06*x*x+-1.38194e-09*x*x*x)*(1-(0.0996438+-8.33354e-05*x+4.74359e-08*x*x))"),
TFormula("SFb_down_3","(1.13904+-0.000594946*x+1.97303e-06*x*x+-1.38194e-09*x*x*x)*(1-(0.0996438+-8.33354e-05*x+4.74359e-08*x*x))"),
TFormula("SFb_down_4","(1.13904+-0.000594946*x+1.97303e-06*x*x+-1.38194e-09*x*x*x)*(1-(0.0996438+-8.33354e-05*x+4.74359e-08*x*x))"),
TFormula("SFb_down_5","(1.13904+-0.000594946*x+1.97303e-06*x*x+-1.38194e-09*x*x*x)*(1-(0.0996438+-8.33354e-05*x+4.74359e-08*x*x))")
]
SFb_up = [
TFormula("SFb_up_1","(1.13904+-0.000594946*x+1.97303e-06*x*x+-1.38194e-09*x*x*x)*(1+(0.0996438+-8.33354e-05*x+4.74359e-08*x*x))"),
TFormula("SFb_up_2","(1.13904+-0.000594946*x+1.97303e-06*x*x+-1.38194e-09*x*x*x)*(1+(0.0996438+-8.33354e-05*x+4.74359e-08*x*x))"),
class CutFlow:
def __init__(self, dataset, selection, lumi, main):
self.dataset = dataset
self.selection = selection
self.lumi = lumi
self.main = main
self.Ntotal = 0
self.Nselected = []
self.Nrejected = []
self.eff = []
self.effcumu = []
self.formulaSBratio()
def formulaSBratio(self):
from ROOT import TFormula
text = self.main.SBratio
text = text.replace("S", "x")
text = text.replace("B", "y")
self.Mformula = TFormula("SBratio", text)
text = self.main.SBerror
text = text.replace("ES", "z")
text = text.replace("EB", "t")
text = text.replace("S", "x")
text = text.replace("B", "y")
self.Eformula = TFormula("SBerror", text)
def calculateBSratio(self, B, eB, S, eS):
value = Measure()
value.mean = self.Mformula.Eval(S, B)
value.error = self.Eformula.Eval(S, B, eS, eB)
return value
@staticmethod
def binomialNEventError(k, N):
if N == 0:
return 0.
else:
return sqrt(float(k * abs(N - k)) / float(N))
@staticmethod
def binomialError(k, N):
if N == 0:
return 0.
else:
return sqrt(float(k * abs(N - k)) / float(N * N * N))
def initializeFromCutflow(self, cutflows):
# Ntotal
self.Ntotal = Measure()
for item in cutflows:
self.Ntotal.mean += item.Ntotal.mean
self.Ntotal.error += item.Ntotal.error**2
self.Ntotal.error = sqrt(self.Ntotal.error)
# Prepare vectors
for i in range(0, len(cutflows[0].Nselected)):
self.Nselected.append(Measure())
self.Nrejected.append(Measure())
self.eff.append(Measure())
self.effcumu.append(Measure())
# Fill selected and rejected
for iset in range(0, len(cutflows)):
for icut in range(0, len(cutflows[iset].Nselected)):
self.Nselected[icut].mean += cutflows[iset].Nselected[
icut].mean
self.Nrejected[icut].mean += cutflows[iset].Nrejected[
icut].mean
self.Nselected[icut].error += cutflows[iset].Nselected[
icut].error**2
self.Nrejected[icut].error += cutflows[iset].Nrejected[
icut].error**2
self.Nselected[icut].error = sqrt(self.Nselected[icut].error)
self.Nrejected[icut].error = sqrt(self.Nrejected[icut].error)
# Compute efficiencies
for i in range(0, len(self.eff)):
if self.Ntotal.mean != 0:
self.effcumu[i].mean = float(self.Nselected[i].mean) / float(
self.Ntotal.mean)
self.effcumu[i].error = CutFlow.binomialError(
self.Nselected[i].mean, self.Ntotal.mean)
if i == 0:
if self.Ntotal.mean != 0:
self.eff[i].mean = float(self.Nselected[i].mean) / float(
self.Ntotal.mean)
self.eff[i].error = CutFlow.binomialError(
self.Nselected[i].mean, self.Ntotal.mean)
else:
if self.Nselected[i - 1].mean != 0:
self.eff[i].mean = float(self.Nselected[i].mean) / float(
self.Nselected[i - 1].mean)
self.eff[i].error = CutFlow.binomialError(
self.Nselected[i].mean, self.Nselected[i - 1].mean)
def initializeFromFile(self, file):
# Getting cuts from ROOT file
cut = file.Get("cuts/cuts", "TVectorT<float>")
if cut is None:
return False
# Preparing architecture for vectors
self.Ntotal = Measure()
for iabscut in range(0, len(self.selection)):
if self.selection[iabscut].__class__.__name__ != "Cut":
continue
self.Nselected.append(Measure())
self.Nrejected.append(Measure())
self.eff.append(Measure())
self.effcumu.append(Measure())
# Extracting Nselected information
for icut in range(0, len(self.Nselected)):
self.Nselected[icut].mean = cut[icut]
# Extracting Ntotal
self.Ntotal.mean = self.dataset.measured_n
return True
def calculate(self):
# Calculating Nrejected
for icut in range(0, len(self.Nselected)):
if icut == 0:
self.Nrejected[
icut].mean = self.Ntotal.mean - self.Nselected[icut].mean
else:
self.Nrejected[icut].mean = self.Nselected[
icut - 1].mean - self.Nselected[icut].mean
# Calculating errors on Naccepted and Nrejected
for icut in range(0, len(self.Nselected)):
if icut == 0:
self.Nselected[icut].error = CutFlow.binomialNEventError(
self.Nselected[icut].mean, self.Ntotal.mean)
self.Nrejected[icut].error = CutFlow.binomialNEventError(
self.Nrejected[icut].mean, self.Ntotal.mean)
else:
self.Nselected[icut].error = CutFlow.binomialNEventError(
self.Nselected[icut].mean, self.Ntotal.mean)
self.Nrejected[icut].error = CutFlow.binomialNEventError(
self.Nrejected[icut].mean, self.Ntotal.mean)
# efficiency calculation and its error
for icut in range(0, len(self.Nselected)):
if icut == 0:
if self.Ntotal.mean == 0:
self.eff[icut].mean = 0
else:
self.eff[icut].mean = float(self.Nselected[icut].mean) / \
float(self.Ntotal.mean)
self.eff[icut].error = CutFlow.binomialError(
self.Nselected[icut].mean, self.Ntotal.mean)
else:
if self.Nselected[icut - 1].mean == 0:
self.eff[icut].mean = 0
else:
self.eff[icut].mean = float(self.Nselected[icut].mean) / \
float(self.Nselected[icut-1].mean)
self.eff[icut].error = CutFlow.binomialError(
self.Nselected[icut].mean, self.Nselected[icut - 1].mean)
if self.Ntotal.mean == 0:
self.effcumu[icut].mean = 0
else:
self.effcumu[icut].mean = float(self.Nselected[icut].mean) / \
float(self.Ntotal.mean)
self.effcumu[icut].error = CutFlow.binomialError(
self.Nselected[icut].mean, self.Ntotal.mean)
# Getting xsection
xsection = self.dataset.measured_xsection
xerror = self.dataset.measured_xerror
if self.dataset.xsection != 0.:
xsection = self.dataset.xsection
xerror = 0
# Saving ntotal
ntot = 0. + self.Ntotal.mean
# Scaling Ntotal
if self.main.normalize == NormalizeType.LUMI:
self.Ntotal.error = xerror * self.lumi * 1000
self.Ntotal.mean = xsection * self.lumi * 1000
elif self.main.normalize == NormalizeType.LUMI_WEIGHT:
self.Ntotal.error = xerror * self.lumi * 1000 * \
self.dataset.weight
self.Ntotal.mean = xsection * self.lumi * 1000 * \
self.dataset.weight
# Scaling Nselected
for icut in range(0, len(self.Nselected)):
if self.main.normalize == NormalizeType.LUMI:
# error due to xsec
errXsec = xerror * self.lumi * 1000 * self.Nselected[
icut].mean / ntot
# scale factor
factor = xsection * self.lumi * 1000 / ntot
self.Nselected[icut].mean *= factor
self.Nselected[icut].error = CutFlow.binomialNEventError(
self.Nselected[icut].mean, self.Ntotal.mean)
# compute final error
self.Nselected[icut].error = sqrt(\
self.Nselected[icut].error**2 + errXsec**2)
elif self.main.normalize == NormalizeType.LUMI_WEIGHT:
# error due to xsec
errXsec = xerror * self.lumi * 1000 * self.dataset.weight * self.Nselected[
icut].mean / ntot
# scale factor
factor = xsection * self.lumi * self.dataset.weight * 1000 / ntot
self.Nselected[icut].mean *= factor
self.Nselected[icut].error = CutFlow.binomialNEventError(
self.Nselected[icut].mean, self.Ntotal.mean)
# compute final error
self.Nselected[icut].error = sqrt(\
self.Nselected[icut].error**2 + errXsec**2)
# Scaling Nrejected
for icut in range(0, len(self.Nrejected)):
if self.main.normalize == NormalizeType.LUMI:
# error due to xsec
errXsec = xerror * self.lumi * 1000 * self.Nrejected[
icut].mean / ntot
# scale factor
factor = xsection * self.lumi * 1000 / ntot
self.Nrejected[icut].mean *= factor
self.Nrejected[icut].error = CutFlow.binomialNEventError(
self.Nrejected[icut].mean, self.Ntotal.mean)
# compute final error
self.Nrejected[icut].error = sqrt(\
self.Nrejected[icut].error**2 + errXsec**2)
elif self.main.normalize == NormalizeType.LUMI_WEIGHT:
# error due to xsec
errXsec = xerror * self.lumi * 1000 * self.dataset.weight * self.Nrejected[
icut].mean / ntot
# scale factor
factor = xsection * self.lumi * self.dataset.weight * 1000 / ntot
self.Nrejected[icut].mean *= factor
self.Nrejected[icut].error = CutFlow.binomialNEventError(
self.Nrejected[icut].mean, self.Ntotal.mean)
# compute final error
self.Nrejected[icut].error = sqrt(\
self.Nrejected[icut].error**2 + errXsec**2)
from ROOT import TCanvas, TPad, TFormula, TF1, TPaveLabel, TH1F, TFile
from ROOT import gROOT, gBenchmark
c1 = TCanvas("c1,", "c1", 200, 10, 700, 900)
c1.SetFillColor(18)
pad1 = TPad("pad1", "pad1", 0.05, 0.50, 0.95, 0.95, 21)
pad2 = TPad("pad2", "pad2", 0.05, 0.05, 0.95, 0.45, 21)
pad1.Draw()
pad2.Draw()
gBenchmark.Start("fillrandom")
form1 = TFormula("form1", "abs(sin(x)/x)")
sqroot = TF1("sqroot", "x*gaus(0) + [3]*form1", 0, 10)
sqroot.SetParameters(10, 4, 1, 20)
#pad1.SetGridx()
pad2.SetGridy()
pad1.SetGrid()
c1.Update()
pad1.cd()
sqroot.Draw()
pad1.Modified()
pad1.Update()
pad2.cd()
pad2.GetFrame().SetFillColor(42)
pad2.GetFrame().SetBorderMode(-1)
pad2.GetFrame().SetBorderSize(5)
h1f = TH1F("h1f", "h1f", 200, 0, 10)
h1f.FillRandom("sqroot", 10000)
import ROOT, sys, os, re, string
from ROOT import TCanvas, TFile, TProfile, TNtuple, TH1F, TH1D, TH2F,TF1, TPad, TPaveLabel, TPaveText, TLegend, TLatex, THStack, TFormula
from ROOT import gROOT, gBenchmark, gRandom, gSystem, Double, gPad
TFormula.SetMaxima(5000,5000,5000)
from array import array
from LoadData_LPC import *
global txtfile
txtfile = open('eventtables.txt', 'w')
CutList = ['preselection',
'zerobtags',
'onebtags',
'ge1btags',
'ge2btags',
'final'
]
#CutList = ['preselection',
# ]
def FillTables(channel, varName, bin, low, high):
VariablesPre = {}
VariablesZero = {}
VariablesOne = {}
VariablesGEOne = {}
VariablesGETwo = {}