[root] Log of /trunk/roofit/roofitcore/inc/RooRealAnalytic.h

Revision 20161 - (view) (download) (as text) (annotate) - [select for diffs]
Modified Mon Oct 1 16:28:25 2007 UTC (7 years, 3 months ago) by wouter
Original Path: trunk/roofitcore/inc/RooRealAnalytic.h
File length: 1725 byte(s)
Diff to previous 18735

   o RooAbsCache

    - New abstract base class for cache objects associated with RooAbsArgs.
      Caches register themselves with the owning RooAbsArg and propagate
      all necessary state changes and meta information to objects in the cache


   o RooCacheManager

    - Concrete template implementation of RooAbsCache with an interface
      and functionality styled after RooNormListManager. The template class
      provide no special handling for cache contents that includes RooAbsArg
      objects and does not forward hook calls. It is thus mostly intended
      to cache basic types indexed on a normalization/integration configuration


   o RooObjCacheManager

    - Class derived from RooCacheManager<RooAbsCacheElement> that implements
      all proper call forwarding and handling of state and other meta information
      to RooAbsArg objects embedded in the cache elements. To facilitate this
      functionality the RooAbsCacheElement defines a pure virtual method
      containedArgs() that must be implemented to expose its contents to
      the cache manager. The default behavior on a serverRedirect hook is
      to sterilize the cache. OperMode changes are not forwarded by default
      to the cache contents as cached objects do not necessarily have the
      same operation mode (e.g. if the cache contains an integral of its owner).
      Any calls to optimizeCacheMode(), printCompactTreeHook(), and findConstantNodes()
      are forwarded. Moreover, optimizeCacheMode() calls are remembered and
      any objects inserted in the cache after such a call was received will be
      optimized upon insertion in the cache

   o RooAbsCacheElement

    - Abstract base class for objects to be managed by RooObjCacheManager. Each
      object must in addition to its payload implement the containedArgs()
      member function that exposes the RooAbsArg object content to the manager
      for processing. The argument passed to containedArgs() indicates the use
      case for the returned list of objects, allowing the cache payload to
      return different lists depending upon use. This is for most applications
      not required.


   o RooAbsCachedPdf

    - Abstract base class derived from RooAbsPdf for p.d.f.s that implement 
      value caching in a grid over the entire domain of the observables. 
      The base class implements the overall caching logistics and manages
      the RooDataHists and RooHistPdfs that respresent the cached contents.
      Derived classes must inputBaseName() defined a unique name prefix for
      all cache objects, actualObservales() and actualParameters() to
      determined the actual observables and parameters given a set of 
      available observables and fillCacheObject() which should fill the
      RooDataHist cache for a given obs/params configuration with the
      p.d.fs values.


   o RooAbsSelfCachedPdf

    - Abstract base class derived from RooAbsCachedPdf that implements
      all of the required logistics in RooCachedPdf and only require
      derived classes from RooAbsSelfCachedPdf to implement evaluate().
      Any class derived from RooAbsPdf can thus be trivially switched
      to derived from RooAbsSelfCachedPdf and gain the caching functionality.
      

   o RooCachedPdf

    - Concrete class derived from RooAbsCachedPdf that implements
      the caching of an externally provided p.d.f in the constructor.


   o RooFFTConvPdf

    - Concrete class derived from RooAbsCachedPdf that implement generic
      numeric convolution of two input p.d.f.s using FFT technique
      and convolution theorem. Actual FFTs are calculated by FFTW
      through TVirtualFFT interface in ROOT. Present implementation only supports 
      convolution in one dimension, but this will be extended later
      as there are no fundamental limitations in RooAbsCachedPdf nor FFTW.
 

   o RooHistPdf

    - Moved from RooFit to RooFitCore because it is used by caching classes


   o RooProdPdf

     - Use new RooObjCacheManager to store partial objects

     - Fix memory leak (already patched in 15.0.14h)


   o RooDataHist

     - Use new RooCacheManager template to cache partial bin volumes

     - Add new set(),setAllWeights() method to update current weight and all weights
       respectively, for use in cached p.d.f.s

     - Add sliceIterator() that iterates over all bins in a lower dimensional 
       slice of the dataset


   o RooDataHistSliceIter

    - Class derived from TIterator that implements the iteration
      over a slice in a reduced number of dimensions in a RooDataHist


   o RooMsgService

     - Speed up processing of debug streams in cases where no debug streams are active

     - add macros series oocoutX and oocxcoutX that allow to associate message with
       a different object than *this

   o RooRealBinding

     - Interface new setValue method that allows value to be set outside default
       domain, but inside given alternate named range. For use in numeric integrator
       bindings


   o RooAbsRealLValue

     - Add new inRange() method with range name specifier to check against chosen
       range instead of default range


   o RooCmdConfig

     - Fix dangling return pointer problem in decodeStringOnTheFly() method


   o RooNameSet

     - Fix bug in refoll()


   o RooChi2Var, RooNLLVar

     - Add processing of AddCoefRange() named argument


   o RooConvCoefVar

     - Hold p.d.f in proxy without value/shape state propagation to obtain
       correct dependency of RooConvCoefVar through separate set proxy
       with parameters that do have state propagation

     - In getAnalyticalIntegral() ask for integration coefficient specific
       to coefficient (following interface change in RooAbsAnaConv)


   o RooEfficiency

     - Follow interface change in RooCategoryProxy


   o RooAbsAnaConvPdf

    - Use new RooObjCacheManager to hold normalization and coefficient representations

    - Extend getCoefAnalyticalIntegral() interface so that each coefficient
      can have a separate integration configuration

    - Modify makeCoefVars() such that it constructs the RooConvCoefVars with
      actual dependents for each coefficients, rather than inserting dependencies
      of any of the coefficients in each coefficient. This logic requires support
      from the implementation class that is interface through a new member function
      coefVars()


   o RooAbsReal 

    - Add Boolean data member treeVar that indicates is value buffer is also
      branch buffer of a tree. This information is already present in the RooAbsReal
      but is relatively expensive to retrieve and is always needed in the inner
      loop of data set operations. This extra member significantly speeds up operations

    - Remove superfluous _norm[] token in name returned by integralNameSuffix() if 
      no normalization set is supplied.

    - Add a fillDataHist() method that fills a given RooDataHist with a sampling
      of the given function. Added for support of caching p.d.f.s


    - Downgrading warning on non-dependent projection variables in plotOn() to
      a debug level message

    - Remove function optimizeDirty(),doConstOpt(),undoConstOpt(),findCacheableBranches()
      findUnusedDatasetVariables() and findRedundantCacheServers() as part of reorganization
      of optimization functionality.


   o RooAbsCollection

    - Use iterator semantics instead of vector semantics to process RooLinkedList
      contents in assignment operator

    - Add utility function contentsString() returning stl string with names
      of contents


   o RooAddPdf

    - Rewrite cache management using new RooObjCacheManager that holds projection
      integrals, range integrals and supplemental normalization lists


   o RooAbsOptGoodnessOfFit

    - Improve handling of normalization ranges and reference ranges for test statistics
      containing RooAddPdfs. New named argument in fitTo() and RooNllVar::ctor() pass
      reference range for fractions in RooAddPdf components that do not have an explicit
      fixed definition already. Name all normalization ranges explicitly after the
      subrange to which the're applied to avoid name clashes and conflicts if multiple
      normalization ranges are involved.

    - Rewrite informational messages through RooMsgService

    - Implement new constOptimizeTestStatistic() function that signals all test statistic
      components of a RooAbsArg expression tree to perform their constant term optimization

    - Implement new optimizeCaching() driver function that changes default lazy-evaluation-with-caching
      scheme to test statistic scheme where only parameters objects propagate state changes and
      where all components that depend directly or indirectly on observables have lazy evaluation
      disabled. Changes to p.d.f objects are delegated to RooAbsPdf::optimizeCacheMode(). Changes
      to dataset are delegated to RooAbsData::optimizeReadingWithCaching()

    - Implement new optimizeConstantTerms() function that is back end for constOptimizeTestStatistic
      implementation. 


  o RooAICRegistry, RooNormSetCache

    - Remove tracking of allocation cycles of RooArgSets as this scheme is superseded by
      memory pool mechanism for RooArgSet allocation


  o RooMappedCategory

    - Follow interface change in RooCategoryProxy.


  o RooRealMPFE

    - Follow reorganization of optimization functionality: implement new constOptimizeTestStatistic
      function for forwarding to slave processes.


  o RooRealVar

    - Add new setVal() function with range name to facilite setting of values that are outside
      default range, but inside specified alternate range. Needed for numeric integration and
      certain RooAddPdf coefficient projection.


  o RooAbsArg

    - Make state management functions public [is/set][Value/ShapeDirty](), setOperMode90
  
    - Add static _flipAClean boolean to support setACleanAdirty() static method.

    - Implement mechanism for registration of cache objects with base class RooAbsCache.
      Forward all calls to operModeHook(), redirectServersHook(), optimizeCacheMode()
      and printCompactTreeHook() to all caches for further processing
   
    - Define constOptimize() function and provide default implementation that forwards
      to all servers 

    - Implement optimizeCacheMode() function that puts expression tree in optimized
      caching for test-statistics operations (only cache/lazy evaluate nodes that
      do not (indirectly) depend on observables

    - Implement findConstantNodes() function that identifies all nodes that depend
      exclusively on constant observables and >0 observables that are eligible
      for precalculation and caching in test statistics operations by 
      RooAbsOptTestStatistic::optimizeConstantTerms()

    - Define constOptimizeTestStatistics that signal an expression tree that any
      embedded test statistic objects should perform their constant term optimization.
      Default implementation in RooAbsArg forwards call to all servers.


  o RooAbsPdf

    - Use new RooObjCacheManager to manage normalization integrals cache.

    - Process new SumCoefRange() option in fitTo() that sets the coeffient
      interpretation range for all embedded RooAddPdf objects of which
      the interpretation range was not explicitly set

    - Extend interface of fixAddCoefNormalizationSet(): add extra argument
      that controls if AddCoef normalization set are forcibly overruled
      for objects that already have an explicit range setting.

  
   o RooRealIntegral 

    - Add some informational messaging through RooMsgService, rewrite existing ones

    - Speed up numeric summations by precreating the involved RooSuperCategory
      in the ctor rather than in evaluate().

    - Fix bug in dependency insertion: explicitly require servers to be value
      server to avoid pulling in fake dependents.
    
    - Remove obsolete data members

    - Implement new setACleanADirty() function that atomically flips state of
      all AClean objects to ADirty for the duration of the integration step.
      Replaces the much more expensive prepareACleanFunc() that did this
      only for the objects involved.

    - Process factorizing terms in integral only if the list is not empty

    - Process Jacobian terms in integral only if the list is not empty


  o RooAddGenContext

   - Adapt to cache management chanches in RooAddPdf


  o RooNumIntFactory

   - Use STL classes for internal memory management


  o RooSetProxyy

   - Implement operator new() and operator() delete as required because
     RooArgSet implements them 


  o RooAbsGoodnessOfFit

   - Store and forward AddCoefRange information for embedded RooAddPdf objects

   - Implement constOptimizeTestStatistic() and forward to components


  o RooErrorVar

   - Follow inRange() interface change in RooAbsRealLValue


  o RooConvGenContext

    - Adapt code to make it work with both RooAbsAnaConv objects and
      the newly introduced RooFFTConvPdf


  o RooMinuit

    - Follow reorganization of optimization functionality


  o RooProjectedPdf

    - Store projection using new RooObjCacheManager


  o RooGlobalFunc

    - Add RooFit::SumCoefRange() named argument for RooAbsPdf::fitTo() 
      and RooNLLVar::ctor() and RooChi2Var::ctor()


  o RooClassFactory

    - Extend existing makePdf(),makeFunction and makeClass() functions
      to also accept RooAbsCategory arguments, to accept an optional string
      inserted as the return value expression inserted in the 
      evaluate() method of the class created, as well as as option string
      specifying one or more analytical integrations of the given function
      expression that will be advertised in the generated getAnalyticalIntegral()
      code and implemented in the generated analyticalIntegral() code

    - Add makeAndCompileFunction() and makeAndCompilePdf methods that
      generate the code and immediate compile it through ROOTs ACliC interface.
      These functions have a simpler interface because the list of arguments
      of the function to be created can be specified as a const RooArgSet&
      rather than a string with a list of names, thus making it easier
      for on-the-fly definition of compiled objects.

    - Add defineFunction() and definePdf() methods define and compile
      a function/pdf using the above functions and immediately instantiate
      an object of the given type passing the specified RooArgSet arguments
      to the constructor of the object. These functions make a compiled
      equivalent of RooFormulaVar based on the TFormula interpreter, i.e.

           RooAbsReal* f = new RooFormulaVar("f","D(1-2w)",RooArgSet(D,w)) ;

      becomes
       
           RooAbsReal* f = RooClassFactory::defineFunction("f","D(1-2w)",RooArgSet(D,w)) ;

   
  o RooAbsCategory

   - Add Boolean data member treeVar that indicates is value buffer is also
     branch buffer of a tree. This information is already present in the RooAbsReal
     but is relatively expensive to retrieve and is always needed in the inner
     loop of data set operations. This extra member significantly speeds up operations

   - Construct explit clean name for TBranch name if node is cached, equivalent
     to what is done in RooAbsReal. Needed because new constOptimizer can also
     cache RooAbsCategory objects


  o RooArgSet

   - Implement operator new() and operator delete() to implement memory pool scheme
     for RooArgSets. The goal of this implementation is to insure that two RooArgSet
     pointers are _never_ the same. This allows to RooNormSet cache manager to safely
     and quickly index integration and normalization configurations by evaluating
     the contents of a RooArgSet only the first time it sees it.


  o RooSimultaneous

   - Implement caching of partial integrals using new RooObjCacheManager

   - Following interface change in RooCategoryProxy ;


  o RooAbsData

   - Defined pure virtual methods optimizeReadingWithCache() and allClientsCached()


  o RooTreeData

   - Implement optimizeReadingWithCache() which determines given a p.d.f to be
     evaluated and a list of the nodes that are cached for it, which observables
     in the dataset are no longer required because they are either not an observable
     of the p.d.f, or they exclusively feed nodes that are cached. Reading of these
     observables is disabled through SetBranchStatus().
  
   - Move allClientsCached() utility function here from RooAbsReal.


  o RooCategoryProxy

   - Remove const char*() conversion operator in favor of a const char* label() method
     to remove possibly ambiguities in C++ math expressions involving category proxies.


  o LinkDef3.h

   - Add newly defined classes

Revision 11114 - (view) (download) (as text) (annotate) - [select for diffs]
Modified Mon Feb 14 20:44:30 2005 UTC (9 years, 11 months ago) by wverkerke
Original Path: trunk/roofitcore/inc/RooRealAnalytic.h
File length: 1740 byte(s)
Diff to previous 8538

   o RooNameReg

     - Registry for unique string name IDs. Converts a 'const char*' string into
       a unique 'const TNamed*' and back. General purpose utility to to map
       string identifiers to unique 32-bit numbers


   o RooAbsReal

     - In getAnalyticalIntegral(WN) and analyticalIntegral(WN) add extra argument
       const char* rangeName to identify range over which integration should
       be performed


   o All RooAbsReal derived classes

     - Modify getAnalyticalIntegral(WN) and analyticalIntegral(WN) to follow
       change in RooAbsReal. Pass rangeName argument to min() and max() functions
       of RooRealProxy to retrieve requested range instead of default range


   o RooAbsArg

     - Add virtual inRange(const char* rangeName) member function.


   o RooAbsCategoryLValue

     - Name change get/setFitBin() --> get.setBin(), numFitBins() --> numBins()
       getFitBinWidth --> getBinWidth


   o RooAbsCollection

     - Add printLatex() method for formatted LaTeX printing of lists.
       Supports named arguments Columns() to change number of columns,
       Format() to change printing format, OutputFile() for printing
       directly to file and Sibling() to print along side on or more other lists.


   o RooAbsData

     - Sanitize plotOn() arrangement: just keep version with RooCmdArg arguments

     - Add optional rangeName argument to fillHistogram


   o RooAbsGenContext

     - Pass normalization set to expectedEvents() to support calculation of
       fractional intergrals in extended term (e.g. in RooExtendedPdf)


   o RooAbsLValue

     - Name change: setFitBin(),getFitBin(),numFitBins(),getFitBinWidth() -->
       setBin(),getBin(),numBins(),getBinWidth()


   o RooAbsOptGoodnessOfFit

     - Follow name changes in RooAbs(Real)Lvalue


   o RooAbsPdf

     - Modernize syncNormalization by using createIntegral internally

     - Add getNormObj() function that returns const RooRealIntegral*
       pointer to specified normalization integral. Takes optional
       rangeName argument for calculation of fractional integrals.

     - Sanitize plotOn(). Only keep version with RooCmdArgs public.
       Move implementation version in protected interface. Replace
       way too long list of arguments with new internal
       helper class RooAbsPdf::plotOpt, whose constructor sets all
       the default options.

     - Change expectedEvents() and extendedTerm() function signature to
       take normalization set argument that can be used to calculated
       normalization-dependent fractional integrals (e.g. in RooExtendedPdf)

     - Migrate named argument global helper functions for plotOn() to RooGlobalFunc.cc


   o RooAbsReal

     - Modify createIntegral() method to take optional rangeName argument.

     - Sanitize plotOn() and plotAsymOn(). Only keep version with RooCmdArgs public.
       Move implementation version in protected interface. Replace
       way too long list of arguments with new internal
       helper class RooAbsPdf::plotOpt, whose constructor sets all
       the default options.

     - Migrate named argument global helper functions for plotOn() to RooGlobalFunc.cc

     - Add Name() feature to plotOn() to give chosen name to resulting RooCurve

     - Add ProjectionRange() feature to plotOn() -- Project PDF only over limited
       range as specified by range name to show finite width slices
       in projection dimensions

     - Add Invisible() feature to plotOn() which stores curve invisibly in
       RooPlot.

     - Add AddTo() feature to plotOn() which adds curve to existing curve
       in Rooplot.


   o RooAbsRealValue

     - Name change get/set/hasFitMin/Max() --> get/set/hasMin/Max() etc.


   o RooAcceptReject

     - Follow changes in RooAbsRealLValue


   o All numeric integrator engines

     - Add "#include RooArgSet.hh" to compensate for removal of stray include in RooCmdConfig.hh


   o RooAddPdf

     - Add feature to fix interpretation of fractional coefficients in particular reference range
       that can be different from default range


   o RooChi2Var

     - Migrate named argument global helper functions for constructor to RooGlobalFunc.cc


   o RooCmdConfig

     - Modify defineObject() to also be able to process arrays of objects

     - Add process() method with 8 RooCmdArg arguments

     - Modify getString() so that it can optionally return an empty string as a null pointer


   o RooConvGenContext,RooConvIntegrandBinding

    - Follow name changes in RooAbsRealLValue


   o RooCurve

    - Add constructor that takes two existing curves and two weights. New curve is construction
      for OR set of points that define both input curves. Points on one curve that do not exist
      on the other are calculate using interpolation.


   o RooDataHist, RooDataSet

    - Sanitize plotOn() functions

    - Follow name changes in RooAbsRealLValue


   o RooErrorVar

    - Follow name changes in RooAbsRealLValue


   o RooExtendPdf

    - Completely rewrite using newly introduced fractional integral technology. Change
      constructor to take optional const char* rangeName argument to denote restricted
      range for expectedEvents() interpretation.


   o RooFitResult

    - Follow name changes in RooAbsRealLValue


   o RooFormula

    - Add new interface to make it work with ROOT version 4 as well as ROOT version 3


   o RooGenProdProj

    - Make it work with optional restricted integration ranges as well


   o RooHist

    - Add constructor that constructs RooHist from two existing RooHists. Both input
      RooHist must have identical structure. In Poisson mode error is recalculated for
      total number of events in each bin. In SumW2 mode errors of input RooHists are
      combined.


   o RooMCStudy,RooMinuit,RooNLLVar

    - Follow changes in RooAbsRealLValue and RooAbsPdf::expectedEvents().


   o RooNormManager,RooNormListManager,RooNormSetCache

    - Make managers aware of range names that are associated with integral definitions.


   o RooPlot

    - Add optional argument to addPlotable(),addObject(),addTH1() functions to add
      given object invisibly.

    - Modify updateFitRangeNorm() to optionally refresh the normalization event count
      even if it has already been set

    - Add getObject() method that identifies object by index rather than by name

    - Add internal RooPlot::DrawOpt class that conversion ROOT draw options and
      RooPlot options from and to a const char* string.



   o RooProdPdf

    - Make it work with integrals over restricted ranges


   o RooRealAnalytic, RooRealBinding

    - Take optional rangeName argument in constructor that modifies output
      of getMin() and getMax() functions


   o RooRealIntegral

    - Take optional rangeName argument in constructor and pass it to analytical integrals
      and numeric integrators.


   o RooRealProxy

    - Modify min() and max() functions to take optional rangeName argument


   o RooRealVar

    - Follow name changes in RooAbsRealLValue

    - Implement getFit*() functions for backward compatibility.

    - Augment format() with extra LaTeX formatting options used
      in RooAbsCollection::printLatex()


   o RooTObjWrap

    - Modify so that it can also store lists of objects in addition to single objects


   o RooTreeData

     - Sanitize plotOn() and plotAsymOn(). Only keep version with RooCmdArgs public.
       Move implementation version in protected interface. Replace
       way too long list of arguments with new internal
       helper class RooAbsPdf::plotOpt, whose constructor sets all
       the default options.


     - Add Name() feature to plotOn() to give resulting RooHist chosen name

     - Add XErrorSize() feature to plotOn() to explicitly control size of X error bars

     - Add Invisible() feature to plotOn() to be able to store RooHist invisible to RooPlot

     - Add AddTo() feature to plotOn() to be able to add RooHist to an existing RooHist
       in RooPlot

     - Add RefreshNorm() feature to plotOn() which causes normalization event count in RooPlot
       to be refreshed with event count from this plot operation

     - Add optional rangeName argument to fillHistogram()


   o RooGlobalFunc

     - Move all global helper functions that create RooCmdArg named arguments here

     - Additionally create short-hand helper functions C(), L() and S() respectively
       that create a RooConst, a RooArgList and a RooArgSet. These shorthand functions
       are stored in namespace RooFitShortHand and thus not by default available
       in the global namespace

Revision 2838 - (view) (download) (as text) (annotate) - [select for diffs]
Modified Mon Sep 24 23:06:01 2001 UTC (13 years, 4 months ago) by verkerke
Original Path: trunk/roofitcore/inc/RooRealAnalytic.h
File length: 1011 byte(s)
Diff to previous 2639

   Major cleanup in integration of normalization functions

   Miscellaneous small improvements and fixes

   o Roo1DTable

     - Add get(),getFrac() methods to retrieve contents

   o RooAbsCollection

     - Add selectCommon() method to create new collection
       containing args common to two sets

   o RooAbsData

     - Minor const-correctness changes

   o RooAbsReal

     - Rearrangement of getAnalyticalIntegral/analyticalIntegral entry points.
       Both functions now exist with and without a 'const RooArgSet* normSet'
       The functions with normSet are used by RooRealIntegral, and its default
       implementation handle the pass-through scenario (code 0 = getVal(normSet))
       and defers other codes to the non-normSet variant.

       Simple PDFs should implement the non-normSet variants, as they used
       to do sofar, except they no longer should (or are able to) process
       the passthrough scenario.

       Advanced PDFs such as RooAdd,ProdPdf, RooConvolutedPdf that implement
       complex integration schemes that depend on the exact normSet configuration
       reimplement the getAI,aI functions with normSet.

   o RooResolutionModel, RooAddModel

     - Implement (or forward in case of RooAddModel) new getNormSpecial method.
       This function is identical in functionality to RooAbsPdf::getNorm()
       except that it caches a separate copy of the normalization integral.

       This member is introduced for the benefit of RooConvolutedPdf::analyticalIntegral
       which, in case of a normalized integration, alternatingly calls two different
       normalizations. In the original single cache code, this would lead to
       100% caching failure and 300% slowdown of the code. getNormSpecial is
       protected for access by RooConvolutedPdf only.

   o RooAddPdf,RooProdPdf,RooSimultaneous,RooConvolutedPdf

     - Re-implement distributed analytic integration bookkeeping using
       the auxiliary RooAICRegistry class, which keeps track of multiple
       analytical integration codes (hence AIC)

   o RooAICRegistry

     - New auxiliary class to faciliate the management of distributed analytic
       integration.

   o RooArgSet

     - Minor printing fix

   o RooConvolutedPdf

     - Complete rewrite of handling of analytical integrations. For RCP objects
       analytical integrations are not all necesarily analytic, but include
       integrations deferred to convolution objcts. Analytical integrations
       are split off for coefficient terms. Complete double bookkeeping introduced
       for 'integration' part of analytic integration and 'normalization' part
       of integration, each of which can have a different argSet to defer
       to the convolution objects and a different coefficient analytical integration
       code. Current implementation is believed to be complete.

   o RooFormulaVar

     - Follow signature change of getAnalyticalIntegral/analyticalIntegral

   o RooMath

     - Implement file cacheing scheme for complex error function lookup table.
       To invoke persistent caching, call RooMath::cacheCERF(kTRUE) prior to
       use

   o RooRealAnalytic

     - Store and forward normalization set to analyticalIntegral call of
       bound RooAbsReal

   o RooSimultanous

     - Implement new plotOn() method, taking a dataSet which can correctly
       project a RooSimultaneous. The code is mostly copied from RooAbsReal::
       plotOn, except that the plotted pdf is constructed as a RooAddPdf
       of the RooSimultaneous components, weighted by the fractions found
       in the passed dataset

   o RooTreeData

     - Small const-correctness fixes

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