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rf512_wsfactory_oper.py
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1## \file
2## \ingroup tutorial_roofit
3## \notebook
4##
5## 'ORGANIZATION AND SIMULTANEOUS FITS' RooFit tutorial macro #512
6##
7## Illustration of operator expressions and expression-based
8## basic p.d.f.s in the workspace factory syntax
9##
10## \macro_code
11## \macro_output
12##
13## \date February 2018
14## \authors Clemens Lange, Wouter Verkerke (C version)
15
16
17import ROOT
18
19
20w = ROOT.RooWorkspace("w")
21
22# You can define typedefs for even shorter construction semantics
23w.factory("$Typedef(Gaussian,Gaus)") 24w.factory("$Typedef(Chebychev,Cheby)")
25
26# Operator pdf examples
27# ------------------------------------------------
28
29# PDF addition is done with SUM (coef1*pdf1,pdf2)
30w.factory("SUM::summodel( f[0,1]*Gaussian::gx(x[-10,10],m[0],1.0), Chebychev::ch(x,{0.1,0.2,-0.3}) )")
31
32# Extended PDF addition is done with SUM (yield1*pdf1,yield2*pdf2)
33w.factory("SUM::extsummodel( Nsig[0,1000]*gx, Nbkg[0,1000]*ch )")
34
35# PDF multiplication is done with PROD ( pdf1, pdf2 )
36w.factory("PROD::gxz( gx, Gaussian::gz(z[-10,10],0,1) )")
37
38# Conditional p.d.f multiplication is done with PROD ( pdf1|obs, pdf2 )
39w.factory("Gaussian::gy( y[-10,10], x, 1.0 )")
40w.factory("PROD::gxycond( gy|x, gx )")
41
42# Convolution (numeric/ fft) is done with NCONV/FCONV (obs,pdf1,pdf2)
43w.factory("FCONV::lxg( x, Gaussian::g(x,mg[0],1), Landau::lc(x,0,1) )")
44
45# Simultaneous p.d.f.s are constructed with SIMUL( index, state1=pdf1,
46# state2=pdf2,...)
47w.factory("SIMUL::smodel( c[A=0,B=1], A=Gaussian::gs(x,m,s[1.0, 0.01, 10.0]), B=Landau::ls(x,0,1) )")
48
49# Operator function examples
50# ---------------------------------------------------
51
52# Function multiplication is done with prod (func1, func2,...)
53w.factory("prod::uv(u[10],v[10])")
54
55# Function addition is done with sum(func1,func2)
56w.factory("sum::uv2(u,v)")
57
58# Lagrangian morphing function for the example shown in rf711_lagrangianmorph
59infilename = ROOT.gROOT.GetTutorialDir().Data() + "/roofit/input_histos_rf_lagrangianmorph.root"
60w.factory(
61 "lagrangianmorph::morph($observableName('pTV'),$fileName('"
62 + infilename
63 + "'),$couplings({cHq3[0,1],SM[1]}),$NewPhysics(cHq3=1,SM=0),\$folders({'SM_NPsq0','cHq3_NPsq1','cHq3_NPsq2'}))"
64)
65
66# Taylor expansion is done with taylorexpand(func,{var1,var2,...},val,order)
67w.factory("taylorexpand::te(expr::poly('x^4+5*x^3+2*x^2+x+1',x),{x},0.0,2)")
68
69
70# Interpreted and compiled expression based pdfs
71# ---------------------------------------------------------------------------------------------------
72
73# Create a ROOT.RooGenericPdf interpreted p.d.f. You can use single quotes
74# to pass the expression string argument
75w.factory("EXPR::G('x*x+1',x)")
76
77# Create a custom compiled p.d.f similar to the above interpreted p.d.f.
78# The code required to make self p.d.f. is automatically embedded in
79# the workspace
80w.factory("CEXPR::GC('x*x+a',{x,a[1]})")
81
82# Compiled and interpreted functions (rather than p.d.f.s) can be made with the lower case
83# 'expr' and 'cexpr' types
84
85# Print workspace contents
86w.Print()
87
88# Make workspace visible on command line