// @(#)root/test:$Id$ // Author: Lorenzo Moneta 06/2005 /////////////////////////////////////////////////////////////////////////////////// // // MathCore Benchmark test suite // ============================== // // This program performs tests : // - mathematical functions in particular the statistical functions by estimating // pdf, cdf and quantiles. cdf are estimated directly and compared with calculated integral from pdf // - physics vectors (2D, 3D and 4D) including I/O for every type and for both double and Double32_t // - SMatrix and SVectors including I/O for double and Double32_t types // - I/O of complex objects which dictionary has been generated using CINT (default) or Reflex // TrackD and TrackD32 which contain physics vectors of double and Double32_t // TrackErrD and TrackErrD32 which contain physics vectors and an SMatrix of double and Double32_t // VecTrackD which contains an std::vector // // // the program cun run only in compiled mode. // To run outside ROOT do: // // > cd $ROOTSYS/test // > make stressMathMore // > ./stressMathMore // // to run using REflex set before compiling the environment variable useReflex. // // > export useReflex=1 // > make stressMathMore // > ./stressMathMore // // to run inside ROOT using ACliC // for using CINT you need first to have the library libTrackMathCoreDict.so // (type: make libTrackMathCoreDict.so to make it) // // root> gSystem->Load("libMathCore"); // root> gSystem->Load("libTree"); // root> gSystem->Load("libHist"); // root> .x stressMathCore.cxx+ // // for using Reflex dictionaries you need first to have the library libTrackMathCoreRflx.so // (type: make libTrackMathCoreRflx.so to make it) // // root> gSystem->Load("libMathCore"); // root> gSystem->Load("libTree"); // root> gSystem->Load("libHist"); // root> gSystem->Load("libReflex"); // root> gSystem->Load("libCintex"); // root> gSystem->SetIncludePath("-DUSE_REFLEX"); // root> .x stressMathCore.cxx+ // // #ifndef __CINT__ #include "Math/DistFuncMathCore.h" #ifdef USE_MATHMORE #include "Math/DistMathMore.h" #endif #include "Math/IParamFunction.h" #include "Math/Integrator.h" #include #include #include #include #include "TBenchmark.h" #include "TROOT.h" #include "TRandom3.h" #include "TSystem.h" #include "TTree.h" #include "TFile.h" #include "TF1.h" #include "Math/Vector2D.h" #include "Math/Vector3D.h" #include "Math/Vector4D.h" #include "Math/VectorUtil.h" #include "Math/SVector.h" #include "Math/SMatrix.h" #include "TrackMathCore.h" //#define USE_REFLEX #ifdef USE_REFLEX #include "Cintex/Cintex.h" #include "Reflex/Reflex.h" #endif using namespace ROOT::Math; #endif //#define DEBUG bool debug = true; // print out reason of test failures bool debugTime = false; // print out separate timings for vectors bool removeFiles = true; // remove Output root files void PrintTest(std::string name) { std::cout << std::left << std::setw(40) << name; } void PrintStatus(int iret) { if (iret == 0) std::cout <<"\t\t................ OK" << std::endl; else std::cout <<"\t\t............ FAILED " << std::endl; } int compare( std::string name, double v1, double v2, double scale = 2.0) { // ntest = ntest + 1; //std::cout << std::setw(50) << std::left << name << ":\t"; // numerical double limit for epsilon double eps = scale* std::numeric_limits::epsilon(); int iret = 0; double delta = v2 - v1; double d = 0; if (delta < 0 ) delta = - delta; if (v1 == 0 || v2 == 0) { if (delta > eps ) { iret = 1; } } // skip case v1 or v2 is infinity else { d = v1; if ( v1 < 0) d = -d; // add also case when delta is small by default if ( delta/d > eps && delta > eps ) iret = 1; } if (iret) { if (debug) { int pr = std::cout.precision (18); std::cout << "\nDiscrepancy in " << name.c_str() << "() :\n " << v1 << " != " << v2 << " discr = " << int(delta/d/eps) << " (Allowed discrepancy is " << eps << ")\n\n"; std::cout.precision (pr); //nfail = nfail + 1; } } //else // std::cout <<"."; return iret; } #ifndef __CINT__ // trait class for distinguishing the number of parameters for the various functions template struct Evaluator { static double F(Func f, double x, const double * ) { return f(x); } }; template struct Evaluator { static double F(Func f, double x, const double * p) { return f(x,p[0]); } }; template struct Evaluator { static double F(Func f, double x, const double * p) { return f(x,p[0],p[1]); } }; template struct Evaluator { static double F(Func f, double x, const double * p) { return f(x,p[0],p[1],p[2]); } }; // global test variable int NFuncTest = 100; // statistical function class // template on the number of parameters template class StatFunction : public ROOT::Math::IParamFunction { public: StatFunction(Func pdf, Func cdf, FuncQ quant) : fPdf(pdf), fCdf(cdf), fQuant(quant) { fScale1 = 1.0E6; //scale for cdf test (integral) fScale2 = 10; //scale for quantile test for(int i = 0; i< NPAR; ++i) fParams[i]=0; } unsigned int NPar() const { return NPAR; } const double * Parameters() const { return fParams; } ROOT::Math::IGenFunction * Clone() const { return new StatFunction(fPdf,fCdf,fQuant); } void SetParameters(const double * p) { std::copy(p,p+NPAR,fParams); } void SetParameters(double p0) { *fParams = p0; } void SetParameters(double p0, double p1) { *fParams = p0; *(fParams+1) = p1; } void SetParameters(double p0, double p1, double p2) { *fParams = p0; *(fParams+1) = p1; *(fParams+2) = p2; } static void SetNTest(int n) { NFuncTest = n; } double Cdf(double x) const { return Evaluator::F(fCdf,x, fParams); } double Quantile(double x) const { double z = Evaluator::F(fQuant,x, fParams); if ((NPAR - NPARQ) == 1) z += fParams[NPAR-1]; // adjust the offset return z; } // test cumulative function int Test(double x1, double x2, double xl = 1, double xu = 0, bool cumul = false); void ScaleTol1(double s) { fScale1 *= s; } void ScaleTol2(double s) { fScale2 *= s; } private: double DoEvalPar(double x, const double * ) const { // implement explicitly using cached parameter values return Evaluator::F(fPdf,x, fParams); } Func fPdf; Func fCdf; FuncQ fQuant; double fParams[NPAR]; double fScale1; double fScale2; }; // test cdf at value f template int StatFunction::Test(double xmin, double xmax, double xlow, double xup, bool c) { int iret = 0; // scan all values from xmin to xmax double dx = (xmax-xmin)/NFuncTest; #ifdef USE_MATHMORE for (int i = 0; i < NFuncTest; ++i) { double v1 = xmin + dx*i; // value used for testing double q1 = Cdf(v1); //std::cout << "v1 " << v1 << " pdf " << (*this)(v1) << " cdf " << q1 << " quantile " << Quantile(q1) << std::endl; // calculate integral of pdf Integrator ig(IntegrationOneDim::ADAPTIVESINGULAR, 1.E-12,1.E-12,100000); ig.SetFunction(*this); double q2 = 0; if (!c) { // lower intergal (cdf) if (xlow >= xup || xlow > xmin) q2 = ig.IntegralLow(v1); else q2 = ig.Integral(xlow,v1); // use a larger scale (integral error is 10-9) iret |= compare("test _cdf", q1, q2, fScale1 ); // test the quantile double v2 = Quantile(q1); iret |= compare("test _quantile", v1, v2, fScale2 ); } else { // upper integral (cdf_c) if (xlow >= xup || xup < xmax) q2 = ig.IntegralUp(v1); else q2 = ig.Integral(v1,xup); iret |= compare("test _cdf_c", q1, q2, fScale1); double v2 = Quantile(q1); iret |= compare("test _quantile_c", v1, v2, fScale2 ); } if (iret) { std::cout << "Failed test for x = " << v1 << " p = "; for (int j = 0; j < N1; ++j) std::cout << fParams[j] << "\t"; std::cout << std::endl; break; } } #else // use TF1 for the integral // std::cout << "xlow-xuo " << xlow << " " << xup << std::endl; // std::cout << "xmin-xmax " << xmin << " " << xmax << std::endl; double x1,x2 = 0; if (xlow >= xup) { x1 = -100; x2 = 100; } else if (xup < xmax) { x1 = xlow; x2 = 100; } else { x1=xlow; x2 = xup; } //std::cout << "x1-x2 " << x1 << " " << x2 << std::endl; TF1 * f = new TF1("ftemp",ParamFunctor(*this),x1,x2,0); for (int i = 0; i < NFuncTest; ++i) { double v1 = xmin + dx*i; // value used for testing double q1 = Cdf(v1); //std::cout << "i = " << i << " v1 = " << v1 << " pdf " << (*this)(v1) << " cdf " << q1 << std::endl; double q2 = 0; if (!c) { q2 = f->Integral(x1,v1); // use a larger scale (integral error is 10-9) iret |= compare("test _cdf", q1, q2, fScale1 ); // test the quantile double v2 = Quantile(q1); iret |= compare("test _quantile", v1, v2, fScale2 ); } else { // upper integral (cdf_c) q2 = f->Integral(v1,x2); iret |= compare("test _cdf_c", q1, q2, fScale1); double v2 = Quantile(q1); iret |= compare("test _quantile_c", v1, v2, fScale2 ); } } delete f; #endif if (c || iret != 0) PrintStatus(iret); return iret; } // typedef defining the functions typedef double ( * F0) ( double); typedef double ( * F1) ( double, double); typedef double ( * F2) ( double, double, double); typedef double ( * F3) ( double, double, double, double); typedef StatFunction Dist_beta; typedef StatFunction Dist_breitwigner; typedef StatFunction Dist_chisquared; typedef StatFunction Dist_fdistribution; typedef StatFunction Dist_gamma; typedef StatFunction Dist_gaussian; typedef StatFunction Dist_lognormal; typedef StatFunction Dist_tdistribution; typedef StatFunction Dist_exponential; typedef StatFunction Dist_landau; typedef StatFunction Dist_uniform; #define CREATE_DIST(name) Dist_ ##name dist( name ## _pdf, name ## _cdf, name ##_quantile ); #define CREATE_DIST_C(name) Dist_ ##name distc( name ## _pdf, name ## _cdf_c, name ##_quantile_c ); // #define CREATE_DIST_C(name) Dist_ ##name distc( name ## _pdf, name ## _cdf_c, 0 ); // #else // #endif template int TestDist(Distribution & d, double x1, double x2) { int ir = 0; ir |= d.Test(x1,x2); return ir; } int testStatFunctions(int nfunc = 100 ) { // test statistical functions int iret = 0; NFuncTest = nfunc; { PrintTest("Beta distribution"); CREATE_DIST(beta); dist.SetParameters( 2, 2); iret |= dist.Test(0.01,0.99,0.,1.); CREATE_DIST_C(beta); distc.SetParameters( 2, 2); iret |= distc.Test(0.01,0.99,0.,1.,true); } { PrintTest("Gamma distribution"); #ifdef USE_MATHMORE // gamma_quantile is in mathmore CREATE_DIST(gamma); dist.SetParameters( 2, 1); iret |= dist.Test(0.05,5, 0.,1.); #endif CREATE_DIST_C(gamma); distc.SetParameters( 2, 1); iret |= distc.Test(0.05,5, 0.,1.,true); } { PrintTest("Chisquare distribution"); #ifdef USE_MATHMORE CREATE_DIST(chisquared); dist.SetParameters( 10, 0); dist.ScaleTol2(10); iret |= dist.Test(0.05,30, 0.,1.); #endif CREATE_DIST_C(chisquared); distc.SetParameters( 10, 0); distc.ScaleTol2(10000000); // t.b.c. iret |= distc.Test(0.05,30, 0.,1.,true); } { PrintTest("Normal distribution "); CREATE_DIST(gaussian); dist.SetParameters( 2, 1); dist.ScaleTol2(100); iret |= dist.Test(-3,5); CREATE_DIST_C(gaussian); distc.SetParameters( 1, 0); distc.ScaleTol2(100); iret |= distc.Test(-3,5,1,0,true); } { PrintTest("BreitWigner distribution "); CREATE_DIST(breitwigner); dist.SetParameters( 1); #ifndef USE_MATHMORE dist.ScaleTol1(1E8); #endif dist.ScaleTol2(10); iret |= dist.Test(-5,5); CREATE_DIST_C(breitwigner); distc.SetParameters( 1); #ifndef USE_MATHMORE distc.ScaleTol1(1E8); #endif distc.ScaleTol2(10); iret |= distc.Test(-5,5,1,0,true); } { PrintTest("F distribution "); CREATE_DIST(fdistribution); dist.SetParameters( 5, 4); dist.ScaleTol1(1000000); dist.ScaleTol2(10); // if enlarge scale test fails iret |= dist.Test(0.05,5,0,1); CREATE_DIST_C(fdistribution); distc.SetParameters( 5, 4); #ifndef USE_MATHMORE distc.ScaleTol1(100000000); #endif distc.ScaleTol2(10); // if enlarge scale test fails iret |= distc.Test(0.05,5,0,1,true); } #ifdef USE_MATHMORE // wait t quantile is in mathcore { PrintTest("t distribution "); CREATE_DIST(tdistribution); dist.SetParameters( 10 ); // dist.ScaleTol1(1000); dist.ScaleTol2(5000); iret |= dist.Test(-10,10); CREATE_DIST_C(tdistribution); distc.SetParameters( 10 ); distc.ScaleTol2(10000); // t.b.c. iret |= distc.Test(-10,10,1,0,true); } #endif { PrintTest("lognormal distribution"); CREATE_DIST(lognormal); dist.SetParameters(1,1 ); dist.ScaleTol1(1000); iret |= dist.Test(0.01,5,0,1); CREATE_DIST_C(lognormal); distc.SetParameters(1,1 ); #ifndef USE_MATHMORE distc.ScaleTol1(1000000); #endif distc.ScaleTol2(1000000); // t.b.c. iret |= distc.Test(0.01,5,0,1,true); } { PrintTest("Exponential distribution"); CREATE_DIST(exponential); dist.SetParameters( 2); dist.ScaleTol2(100); iret |= dist.Test(0.,5.,0.,1.); CREATE_DIST_C(exponential); distc.SetParameters( 2); distc.ScaleTol2(100); iret |= distc.Test(0.,5.,0.,1.,true); } { PrintTest("Landau distribution"); CREATE_DIST(landau); dist.SetParameters( 2); // Landau is not very precise (put prec at 10-6) // as indicated in Landau paper ( dist.ScaleTol1(10000); dist.ScaleTol2(1.E10); iret |= dist.Test(-1,10,-10.,1.E10); CREATE_DIST_C(landau); distc.SetParameters( 2); distc.ScaleTol1(10000); distc.ScaleTol2(1.0E10); iret |= distc.Test(-1,10,-10.,1.E10,true); } { PrintTest("Uniform distribution"); CREATE_DIST(uniform); dist.SetParameters( 1, 2); iret |= dist.Test(1.,2.,1.,2.); CREATE_DIST_C(uniform); distc.SetParameters( 1, 2); iret |= distc.Test(1.,2.,1.,2.,true); } return iret; } //******************************************************************************************************************* // GenVector tests //******************************************************************************************************************* // trait for getting vector name template struct VecType { static std::string name() { return "MathCoreVector";} }; template<> struct VecType { static std::string name() { return "XYVector";} static std::string name32() { return "ROOT::Math::DisplacementVector2D >";} }; template<> struct VecType { static std::string name() { return "Polar2DVector";} }; template<> struct VecType { static std::string name() { return "XYZVector";} static std::string name32() { return "ROOT::Math::DisplacementVector3D >";} }; template<> struct VecType { static std::string name() { return "Polar3DVector";} }; template<> struct VecType { static std::string name() { return "RhoEtaPhiVector";} }; template<> struct VecType { static std::string name() { return "RhoZPhiVector";} }; template<> struct VecType { static std::string name() { return "PxPyPzEVector";} static std::string name32() { return "ROOT::Math::LorentzVector >";} }; template<> struct VecType { static std::string name() { return "PtEtaPhiEVector";} }; template<> struct VecType { static std::string name() { return "PtEtaPhiMVector";} }; template<> struct VecType { static std::string name() { return "PxPyPzMVector";} }; template<> struct VecType > { static std::string name() { return "SVector3";} static std::string name32() { return "ROOT::Math::SVector";} }; template<> struct VecType > { static std::string name() { return "SVector4";} static std::string name32() { return "ROOT::Math::SVector";} }; template<> struct VecType { static std::string name() { return "TrackD";} }; template<> struct VecType { static std::string name() { return "TrackD32";} }; template<> struct VecType { static std::string name() { return "TrackErrD";} }; template<> struct VecType { static std::string name() { return "TrackErrD32";} }; template<> struct VecType > { static std::string name() { return "VecTrackD";} }; template<> struct VecType > { static std::string name() { return "VecTrackErrD";} }; // generic (2 dim) template struct VecOp { template static V Create(It &x, It &y, It & , It& ) { return V(*x++,*y++); } template static void Set(V & v, It &x, It &y, It &, It&) { v.SetXY(*x++,*y++); } static double Add(const V & v) { return v.X() + v.Y(); } static double Delta(const V & v1, const V & v2) { double d = ROOT::Math::VectorUtil::DeltaPhi(v1,v2); return d*d; } // is v2-v1 }; // specialized for 3D template struct VecOp { template static V Create(It &x, It& y, It& z , It& ) { return V(*x++,*y++,*z++); } template static void Set(V & v, It & x, It &y, It &z, It&) { v.SetXYZ(*x++,*y++,*z++); } static V Create(double x, double y, double z , double ) { return V(x,y,z); } static void Set(V & v, double x, double y, double z, double) { v.SetXYZ(x,y,z); } static double Add(const V & v) { return v.X() + v.Y() + v.Z(); } static double Delta(const V & v1, const V & v2) { return ROOT::Math::VectorUtil::DeltaR2(v1,v2); } }; // specialized for 4D template struct VecOp { template static V Create(It &x, It &y, It &z , It &t ) { return V(*x++,*y++,*z++,*t++);} template static void Set(V & v, It & x, It &y, It &z, It &t) { v.SetXYZT(*x++,*y++,*z++,*t++); } static double Add(const V & v) { return v.X() + v.Y() + v.Z() + v.E(); } static double Delta(const V & v1, const V & v2) { return ROOT::Math::VectorUtil::DeltaR2(v1,v2) + ROOT::Math::VectorUtil::InvariantMass(v1,v2); } }; // specialized for SVector<3> template<> struct VecOp,3> { typedef SVector V; template static V Create(It &x, It &y, It &z , It & ) { return V(*x++,*y++,*z++);} static double Add(const V & v) { return v(0) + v(1) + v(2); } }; // specialized for SVector<4> template<> struct VecOp,4> { typedef SVector V; template static V Create(It &x, It &y, It &z , It &t ) { return V(*x++,*y++,*z++,*t++);} static double Add(const V & v) { return v(0) + v(1) + v(2) + v(3); } }; // internal structure to measure the time TStopwatch gTimer; double gTotTime; struct Timer { Timer() { gTimer.Start(); } ~Timer() { gTimer.Stop(); gTotTime += Time(); if (debugTime) printTime(); } void printTime( std::string s = "") { int pr = std::cout.precision(8); std::cout << s << "\t" << " time = " << Time() << "\t(sec)\t" // << time.CpuTime() << std::endl; std::cout.precision(pr); } double Time() { return gTimer.RealTime(); } // use real time TStopwatch gTimer; double gTotTime; }; template class VectorTest { private: // global data variables std::vector dataX; std::vector dataY; std::vector dataZ; std::vector dataE; int nGen; int n2Loop ; double fSum; // total sum of x,y,z,t (for testing first addition) public: VectorTest(int n1, int n2=0) : nGen(n1), n2Loop(n2) { gTotTime = 0; } double TotalTime() const { return gTotTime; } // use real time double Sum() const { return fSum; } int check(std::string name, double s1, double s2, double scale=1) { int iret = 0; PrintTest(name); iret |= compare(name,s1,s2,scale); PrintStatus(iret); return iret; } void print(std::string name) { PrintTest(name); std::cout <<"\t\t..............\n"; } void genData() { // generate for all 4 d data TRandom3 r(111); // use a fixed seed to be able to reproduce tests fSum = 0; for (int i = 0; i < nGen ; ++ i) { // generate a 4D vector and stores only the interested dimensions double phi = r.Rndm()*3.1415926535897931; double eta = r.Uniform(-5.,5.); double pt = r.Exp(10.); double m = r.Uniform(0,10.); if ( i%50 == 0 ) m = r.BreitWigner(1.,0.01); double E = sqrt( m*m + pt*pt*std::cosh(eta)*std::cosh(eta) ); // fill vectors PtEtaPhiEVector q( pt, eta, phi, E); dataX.push_back( q.x() ); dataY.push_back( q.y() ); fSum += q.x() + q.y(); if (Dim >= 3) { dataZ.push_back( q.z() ); fSum += q.z(); } if (Dim >=4 ) { dataE.push_back( q.t() ); fSum += q.t(); } } assert( int(dataX.size()) == nGen); assert( int(dataY.size()) == nGen); if (Dim >= 3) assert( int(dataZ.size()) == nGen); if (Dim >=4 ) assert( int(dataE.size()) == nGen); // // // dataZ.resize(nGen); // // // dataE.resize(nGen); } // gen data for a Ndim matrix or vector void genDataN() { // generate for all 4 d data TRandom3 r(111); // use a fixed seed to be able to reproduce tests fSum = 0; dataX.reserve(nGen*Dim); for (int i = 0; i < nGen*Dim ; ++ i) { // generate random data between [0,1] double x = r.Rndm(); fSum += x; dataX.push_back( x ); } } typedef std::vector::const_iterator DataIt; // test methods template void testCreate( std::vector & dataV) { Timer tim; DataIt x = dataX.begin(); DataIt y = dataY.begin(); DataIt z = dataZ.begin(); DataIt t = dataE.begin(); while (x != dataX.end() ) { dataV.push_back(VecOp::Create(x,y,z,t) ); assert(int(dataV.size()) <= nGen); } } template void testCreateAndSet( std::vector & dataV) { Timer tim; DataIt x = dataX.begin(); DataIt y = dataY.begin(); DataIt z = dataZ.begin(); DataIt t = dataE.begin(); while (x != dataX.end() ) { V v; VecOp::Set( v, x,y,z,t); dataV.push_back(v); assert(int(dataV.size()) <= nGen); } } template double testAddition( const std::vector & dataV) { V v0; Timer t; for (int i = 0; i < nGen; ++i) { v0 += dataV[i]; } return VecOp::Add(v0); } template double testOperations( const std::vector & dataV) { double tot = 0; Timer t; for (int i = 0; i < nGen-1; ++i) { const V & v1 = dataV[i]; const V & v2 = dataV[i+1]; double a = v1.R(); double b = v2.mag2(); // mag2 is defined for all dimensions; double c = 1./v1.Dot(v2); V v3 = c * ( v1/a + v2/b ); tot += VecOp::Add(v3); } return tot; } // mantain loop in gen otherwise is proportional to N**@ template double testDelta( const std::vector & dataV) { double tot = 0; Timer t; for (int i = 0; i < nGen-1; ++i) { const V & v1 = dataV[i]; const V & v2 = dataV[i+1]; tot += VecOp::Delta(v1,v2); } return tot; } // template // double testDotProduct( const std::vector & dataV) { // //unsigned int n = std::min(n2Loop, dataV.size() ); // double tot = 0; // V v0 = *(dataV[0]); // Timer t; // for (unsigned int i = 0; i < nGen-1; ++i) { // V & v1 = *(dataV[i]); // tot += v0.Dot(v1); // } // return tot; // } template void testConversion( std::vector & dataV1, std::vector & dataV2) { Timer t; for (int i = 0; i < nGen; ++i) { dataV2.push_back( V2( dataV1[i] ) ); } } // rotation template double testRotation( std::vector & dataV ) { double sum = 0; double rotAngle = 1; Timer t; for (unsigned int i = 0; i < nGen; ++i) { V & v1 = dataV[i]; V v2 = v1; v2.Rotate(rotAngle); sum += VecOp::Add(v2); } return sum; } template double testWrite(const std::vector & dataV, std::string typeName="", bool compress = false) { std::string fname = VecType::name() + ".root"; // replace < character with _ TFile file(fname.c_str(),"RECREATE","",compress); // create tree std::string tree_name="Tree with" + VecType::name(); TTree tree("VectorTree",tree_name.c_str()); V *v1 = new V(); //std::cout << "typeID written : " << typeid(*v1).name() << std::endl; // need to add namespace to full type name if (typeName == "") { typeName = "ROOT::Math::" + VecType::name(); } //std::cout << typeName << std::endl; TBranch * br = tree.Branch("Vector branch",typeName.c_str(),&v1); if (br == 0) { std::cout << "Error creating branch for" << typeName << "\n\t typeid is " << typeid(*v1).name() << std::endl; return -1; } Timer timer; for (int i = 0; i < nGen; ++i) { *v1 = dataV[i]; tree.Fill(); } #ifdef DEBUG tree.Print(); // debug #endif file.Write(); file.Close(); return file.GetSize(); } template int testRead(std::vector & dataV) { dataV.clear(); dataV.reserve(nGen); std::string fname = VecType::name() + ".root"; TFile f1(fname.c_str()); if (f1.IsZombie() ) { std::cout << " Error opening file " << fname << std::endl; return -1; } // create tree TTree *tree = dynamic_cast(f1.Get("VectorTree")); if (tree == 0) { std::cout << " Error reading file " << fname << std::endl; return -1; } V *v1 = 0; //std::cout << "reading typeID : " << typeid(*v1).name() << std::endl; // cast to void * to avoid a warning tree->SetBranchAddress("Vector branch",(void *) &v1); Timer timer; int n = (int) tree->GetEntries(); if (n != nGen) { std::cout << "wrong tree entries from file" << fname << std::endl; return -1; } for (int i = 0; i < n; ++i) { tree->GetEntry(i); dataV.push_back(*v1); } if (removeFiles) gSystem->Unlink(fname.c_str()); return 0; } // test of SVEctor's or SMatrix template void testCreateSV( std::vector & dataV) { Timer tim; //DataIt x = dataX.begin(); double * x = &dataX.front(); double * end = x + dataX.size(); //SVector cannot be created from a generic iterator (should be fixed) while (x != end) { dataV.push_back( V(x,x+Dim) ); assert(int(dataV.size()) <= nGen); x += Dim; } } template double testAdditionSV( const std::vector & dataV) { V v0; Timer t; for (int i = 0; i < nGen; ++i) { v0 += dataV[i]; } double tot = 0; typedef typename V::const_iterator It; for (It itr = v0.begin(); itr != v0.end(); ++itr) tot += *itr; return tot; } template double testAdditionTR( const std::vector & dataV) { V v0; Timer t; for (int i = 0; i < nGen; ++i) { v0 += dataV[i]; } #ifdef DEBUG v0.Print(); #endif return v0.Sum(); } }; //-------------------------------------------------------------------------------------- // test of all physics vector (GenVector's) //-------------------------------------------------------------------------------------- template int testVector(int ngen, bool testio=false) { int iret = 0; VectorTest a(ngen); a.genData(); std::vector v1; std::vector v2; v1.reserve(ngen); v2.reserve(ngen); double s1, s2 = 0; double scale = 1; double sref1, sref2 = 0; a.testCreate(v1); iret |= a.check(VecType::name()+" creation",v1.size(),ngen); s1 = a.testAddition(v1); iret |= a.check(VecType::name()+" addition",s1,a.Sum(),Dim*20); sref1 = s1; v1.clear(); assert(v1.size() == 0); a.testCreateAndSet(v1); iret |= a.check(VecType::name()+" creation",v1.size(),ngen); s2 = a.testAddition(v1); iret |= a.check(VecType::name()+" setting",s2,s1); a.testConversion(v1,v2); iret |= a.check(VecType::name()+" -> " + VecType::name(),v1.size(),v2.size() ); scale = 1000; if (Dim == 2) scale = 1.E12; // to be understood if (Dim == 3) scale = 1.E4; // problem with RhoEtaPhiVector s2 = a.testAddition(v2); iret |= a.check("Vector conversion",s2,s1,scale); sref2 = s2; s1 = a.testOperations(v1); a.print(VecType::name()+" operations"); scale = Dim*20; if (Dim==3 && VecType::name() == "RhoEtaPhiVector") scale *= 10; // for problem with RhoEtaPhi if (Dim==4 && VecType::name() == "PtEtaPhiMVector") scale *= 10; #if defined (R__LINUX) && !defined(R__B64) // problem of precision on linux 32 if (Dim ==4) scale = 1000000000; #endif // for problem with PtEtaPhiE if (Dim==4 && VecType::name() == "PtEtaPhiEVector") scale = 0.01/(std::numeric_limits::epsilon()); s2 = a.testOperations(v2); iret |= a.check(VecType::name()+" operations",s2,s1,scale); s1 = a.testDelta(v1); a.print(VecType::name()+" delta values"); scale = Dim*16; if (Dim==4) scale *= 100; // for problem with PtEtaPhiE s2 = a.testDelta(v2); iret |= a.check(VecType::name()+" delta values",s2,s1,scale); double fsize = 0; int ir = 0; if (!testio) return iret; double estSize = ngen*8 * Dim + 10000; //add extra bytes scale = 0.1 / std::numeric_limits::epsilon(); fsize = a.testWrite(v1); iret |= a.check(VecType::name()+" write",fsize,estSize,scale); ir = a.testRead(v1); iret |= a.check(VecType::name()+" read",ir,0); s1 = a.testAddition(v1); iret |= a.check(VecType::name()+" after read",s1,sref1); // test io vector 2 fsize = a.testWrite(v2); iret |= a.check(VecType::name()+" write",fsize,estSize,scale); ir = a.testRead(v2); iret |= a.check(VecType::name()+" read",ir,0); scale = 100; // gcc 4.3.2 gives and error for RhoEtaPhiVector for 32 bits s2 = a.testAddition(v2); iret |= a.check(VecType::name()+" after read",s2,sref2,scale); // test io of double 32 for vector 1 if (Dim==2) return iret; estSize = ngen*4 * Dim + 10000; //add extra bytes scale = 0.1 / std::numeric_limits::epsilon(); std::string typeName = VecType::name32(); fsize = a.testWrite(v1,typeName); iret |= a.check(VecType::name() +"_D32 write",fsize,estSize,scale); ir = a.testRead(v1); iret |= a.check(VecType::name()+"_D32 read",ir,0); s1 = a.testAddition(v1); iret |= a.check(VecType::name()+"_D32 after read",s1,sref1,1.E9); return iret; } //-------------------------------------------------------------------------------------- // test of Svector of dim 3 or 4 //-------------------------------------------------------------------------------------- template int testVector34(int ngen, bool testio=false) { int iret = 0; VectorTest a(ngen); a.genData(); typedef SVector SV; std::vector v1; v1.reserve(ngen); double s1 = 0; //double scale = 1; double sref1 = 0; std::string name = "SVector"; a.testCreate(v1); iret |= a.check(name+" creation",v1.size(),ngen); s1 = a.testAddition(v1); iret |= a.check(name+" addition",s1,a.Sum(),Dim*20); sref1 = s1; // test the io double fsize = 0; int ir = 0; if (!testio) return iret; std::string typeName = "ROOT::Math::"+name; double estSize = ngen*8 * Dim + 47000; // add extra bytes (why so much ? ) this is for ngen=10000 double scale = 0.1 / std::numeric_limits::epsilon(); fsize = a.testWrite(v1,typeName); iret |= a.check(name+" write",fsize,estSize,scale); ir = a.testRead(v1); iret |= a.check(name+" read",ir,0); s1 = a.testAddition(v1); iret |= a.check(name+" after read",s1,sref1); //std::cout << "File size = " << fsize << " estimated " << 8 * Dim * ngen << std::endl; // test Double32 estSize = ngen*4 * Dim + 47000; //add extra bytes scale = 0.1 / std::numeric_limits::epsilon(); typeName = VecType::name32(); fsize = a.testWrite(v1,typeName); iret |= a.check(VecType::name() +"_D32 write",fsize,estSize,scale); ir = a.testRead(v1); iret |= a.check(VecType::name()+"_D32 read",ir,0); s1 = a.testAddition(v1); iret |= a.check(VecType::name()+"_D32 after read",s1,sref1,1.E9); return iret; } //-------------------------------------------------------------------------------------- // test of generic Svector //-------------------------------------------------------------------------------------- template int testSVector(int ngen, bool testio=false) { // test the matrix if D2 is not equal to 1 int iret = 0; VectorTest a(ngen); a.genDataN(); typedef SVector SV; std::vector v1; v1.reserve(ngen); double s1 = 0; //double scale = 1; double sref1 = 0; std::string name = "SVector"; a.testCreateSV(v1); iret |= a.check(name+" creation",v1.size(),ngen); s1 = a.testAdditionSV(v1); iret |= a.check(name+" addition",s1,a.Sum(),Dim*4); sref1 = s1; // test the io double fsize = 0; int ir = 0; if (!testio) return iret; std::string typeName = "ROOT::Math::"+name; double estSize = ngen*8 * Dim + 10000; double scale = 0.1 / std::numeric_limits::epsilon(); fsize = a.testWrite(v1,typeName); iret |= a.check(name+" write",fsize,estSize,scale); ir = a.testRead(v1); iret |= a.check(name+" read",ir,0); s1 = a.testAdditionSV(v1); iret |= a.check(name+" after read",s1,sref1); return iret; } template struct RepStd { typedef typename ROOT::Math::MatRepStd R; static std::string name() { return "ROOT::Math::MatRepStd "; } static std::string name32() { return "ROOT::Math::MatRepStd "; } static std::string sname() { return ""; } }; template struct RepSym { typedef typename ROOT::Math::MatRepSym R; static std::string name() { return "ROOT::Math::MatRepSym "; } static std::string name32() { return "ROOT::Math::MatRepSym "; } static std::string sname() { return "MatRepSym"; } }; //-------------------------------------------------------------------------------------- // test of generic SMatrix //-------------------------------------------------------------------------------------- template int testSMatrix(int ngen, bool testio=false) { // test the matrix if D2 is not equal to 1 int iret = 0; typedef typename Rep::R R; typedef SMatrix SM; // in the case of sym matrices SM::kSize is different than R::kSize // need to use the R::kSize for Dim const int Dim = R::kSize; VectorTest a(ngen); a.genDataN(); std::vector v1; v1.reserve(ngen); double s1 = 0; //double scale = 1; double sref1 = 0; std::string name0 = "SMatrix"; a.testCreateSV(v1); iret |= a.check(name+" creation",v1.size(),ngen); s1 = a.testAdditionSV(v1); iret |= a.check(name+" addition",s1,a.Sum(),Dim*4); sref1 = s1; // test the io if (!testio) return iret; double fsize = 0; int ir = 0; // the full name is needed for sym matrices std::string typeName = "ROOT::Math::"+name0 + "," + Rep::name() + ">"; double estSize = ngen*8 * Dim + 10000; double scale = 0.1 / std::numeric_limits::epsilon(); fsize = a.testWrite(v1,typeName); iret |= a.check(name+" write",fsize,estSize,scale); ir = a.testRead(v1); iret |= a.check(name+" read",ir,0); s1 = a.testAdditionSV(v1); iret |= a.check(name+" after read",s1,sref1); //std::cout << "File size = " << fsize << " estimated " << 8 * Dim * ngen << std::endl; // test storing as Double32_t // dictionay exist only for square matrices between 3 and 6 if (D1 != D2) return iret; if (D1 < 3 || D1 > 6) return iret; double fsize32 = 0; name0 = "SMatrix"; typeName = "ROOT::Math::"+name0+ "," + Rep::name32() + ">"; estSize = ngen* 4 * Dim + 10000; scale = 0.1 / std::numeric_limits::epsilon(); fsize32 = a.testWrite(v1,typeName); iret |= a.check(name+" write",fsize32,estSize,scale); ir = a.testRead(v1); iret |= a.check(name+" read",ir,0); //we read back float (scale errors then) s1 = a.testAdditionSV(v1); iret |= a.check(name+" after read",s1,sref1,1.E9); return iret; } //-------------------------------------------------------------------------------------- // test of a track an object containing vector and matrices //-------------------------------------------------------------------------------------- template int testTrack(int ngen) { int iret = 0; const int Dim = T::kSize; std::string name = T::Type(); //std::cout << "Dim is " << Dim << std::endl; VectorTest a(ngen); a.genDataN(); std::vector v1; v1.reserve(ngen); double s1 = 0; //double scale = 1; double sref1 = 0; a.testCreateSV(v1); iret |= a.check(name+" creation",v1.size(),ngen); s1 = a.testAdditionTR(v1); iret |= a.check(name+" addition",s1,a.Sum(),Dim*4); sref1 = s1; //std::cout << " reference sum is " << sref1 << std::endl; double fsize = 0; int ir = 0; // the full name is needed for sym matrices std::string typeName = name; int wsize = 8; if (T::IsD32() ) wsize = 4; double estSize = ngen*wsize * Dim + 10000; double scale = 0.2 / std::numeric_limits::epsilon(); fsize = a.testWrite(v1,typeName); iret |= a.check(name+" write",fsize,estSize,scale); ir = a.testRead(v1); iret |= a.check(name+" read",ir,0); scale = 1; if (T::IsD32() ) scale = 1.E9; // use float numbers s1 = a.testAdditionTR(v1); iret |= a.check(name+" after read",s1,sref1,scale); if (T::IsD32() ) { // check at double precision type must fail otherwise Double's are stored bool pdebug = debug; debug = false; int ret = compare(" ",s1,sref1); iret |= a.check(name+" Double32 test",ret,1); debug = pdebug; } return iret; } int testGenVectors(int ngen,bool io) { int iret = 0; std::cout <<"******************************************************************************\n"; std::cout << "\tTest of Physics Vector (GenVector package)\n"; std::cout <<"******************************************************************************\n"; iret |= testVector(ngen,io); iret |= testVector(ngen,io); iret |= testVector(ngen,io); iret |= testVector(ngen,io); iret |= testVector(ngen,io); iret |= testVector(ngen,io); iret |= testVector(ngen,io); return iret; } int testSMatrix(int ngen,bool io) { int iret = 0; std::cout <<"******************************************************************************\n"; std::cout << "\tTest of SMatrix package\n"; std::cout <<"******************************************************************************\n"; iret |= testVector34<3>(ngen,io); iret |= testVector34<4>(ngen,io); // test now matrices and vectors iret |= testSVector<6>(ngen,io); // asymetric matrices we have only 4x3 and 3x4 iret |= testSMatrix<3,4,RepStd<3,4> >(ngen,io); iret |= testSMatrix<4,3,RepStd<4,3> >(ngen,io); iret |= testSMatrix<3,3,RepStd<3,3> >(ngen,io); // sym matrix iret |= testSMatrix<5,5,RepSym<5> >(ngen,io); return iret; } int testCompositeObj(int ngen) { int iret = 0; std::cout <<"******************************************************************************\n"; std::cout << "\tTest of a Composite Object (containing Vector's and Matrices)\n"; std::cout <<"******************************************************************************\n"; #ifndef USE_REFLEX std::cout << "Test Using CINT library\n\n"; // put path relative to LD_LIBRARY_PATH iret = gSystem->Load("../test/libTrackMathCoreDict"); if (iret !=0) { // if not assume running from top ROOT dir (case of roottest) iret = gSystem->Load("test/libTrackMathCoreDict"); if (iret !=0) { std::cerr <<"Error Loading libTrackMathCoreDict" << std::endl; return iret; } } #else std::cout << "Test Using Reflex library\n\n"; #ifdef DEBUG ROOT::Cintex::Cintex::SetDebug(1); #endif ROOT::Cintex::Cintex::Enable(); iret = gSystem->Load("../test/libTrackMathCoreRflx"); if (iret !=0) { // if not assume running from top ROOT dir (case of roottest) iret = gSystem->Load("test/libTrackMathCoreRflx"); if (iret !=0) { std::cerr <<"Error Loading libTrackMathCoreRflx" << std::endl; return iret; } } #endif iret |= testTrack(ngen); iret |= testTrack(ngen); iret |= testTrack(ngen); iret |= testTrack(ngen); iret |= testTrack >(ngen); iret |= testTrack >(ngen); return iret; } #endif // endif ifndef __CINT__ int stressMathCore(double nscale = 1) { int iret = 0; #ifdef __CINT__ std::cout << "Test must be run in compile mode - use ACLIC to compile!!" << std::endl; gSystem->Load("libMathCore"); gSystem->Load("libTree"); gROOT->ProcessLine(".L stressMathCore.cxx++"); return stressMathCore(); #endif // iret |= gSystem->Load("libMathCore"); // iret |= gSystem->Load("libMathMore"); // if (iret !=0) return iret; TBenchmark bm; bm.Start("stressMathCore"); const int ntest = 10000; int n = int(nscale*ntest); //std::cout << "StressMathCore: test number n = " << n << std::endl; iret |= testStatFunctions(n/10); bool io = true; iret |= gSystem->Load("libSmatrix"); if (iret !=0) { std::cerr <<"Error Loading libSmatrix" << std::endl; io = false; } iret |= testGenVectors(n,io); iret |= testSMatrix(n,io); if (io) iret |= testCompositeObj(n); bm.Stop("stressMathCore"); std::cout <<"******************************************************************************\n"; bm.Print("stressMathCore"); const double reftime = 7.1; // needs to be updated // ref time on pcbrun4 double rootmarks = 860 * reftime / bm.GetCpuTime("stressMathCore"); std::cout << " ROOTMARKS = " << rootmarks << " ROOT version: " << gROOT->GetVersion() << "\t" << gROOT->GetSvnBranch() << "@" << gROOT->GetSvnRevision() << std::endl; std::cout <<"*******************************************************************************\n"; if (iret !=0) std::cerr << "stressMathCore Test Failed !!" << std::endl; return iret; } int main(int argc,const char *argv[]) { double nscale = 1; if (argc > 1) { nscale = atof(argv[1]); //nscale = std::pow(10.0,double(scale)); } return stressMathCore(nscale); }