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testrandom.C File Reference
Tutorials » Math tutorials

Detailed Description

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Performance test of all the ROOT random generator (TRandom, TRandom1, TRandom2 and TRandom3) Tests the generator TRandom3 against some ref values and creates a timing table against TRandom, TRandom1 and TRandom2.

E.g. on an an Intel Xeon Quad-core Harpertown (E5410) 2.33 GHz running Linux SLC4 64 bit and compiled with gcc 3.4

Distribution nanoseconds/call
TRandom TRandom1 TRandom2 TRandom3
Rndm.............. 5.000 105.000 7.000 10.000
RndmArray......... 4.000 104.000 6.000 9.000
Gaus.............. 36.000 180.000 40.000 48.000
Rannor............ 118.000 220.000 120.000 124.000
Landau............ 22.000 123.000 26.000 31.000
Exponential....... 93.000 198.000 98.000 104.000
Binomial(5,0.5)... 30.000 548.000 46.000 65.000
Binomial(15,0.5).. 75.000 1615.000 125.000 178.000
Poisson(3)........ 96.000 494.000 109.000 125.000
Poisson(10)....... 138.000 1236.000 165.000 203.000
Poisson(70)....... 818.000 1195.000 835.000 844.000
Poisson(100)...... 837.000 1218.000 849.000 864.000
GausTF1........... 83.000 180.000 87.000 88.000
LandauTF1......... 80.000 180.000 83.000 86.000
GausUNURAN........ 40.000 139.000 41.000 44.000
PoissonUNURAN(10). 85.000 271.000 92.000 102.000
PoissonUNURAN(100) 62.000 256.000 69.000 78.000
TRandom1
The Ranlux Random number generator class.
Definition TRandom1.h:27
TRandom2
Random number generator class based on the maximally quidistributed combined Tausworthe generator by ...
Definition TRandom2.h:27
TRandom3
Random number generator class based on M.
Definition TRandom3.h:27
TRandom
This is the base class for the ROOT Random number generators.
Definition TRandom.h:27

Note that this tutorial can be executed in interpreted or compiled mode

Root > .x testrandom.C
Root > .x testrandom.C++
Distribution nanoseconds/call
TRandom TRandom1 TRandom2 TRandom3 MixMax240 MixMax17 Mixmax256_0 MixMax256_2 MixMax256_4 MT_64 Ranlux48
Rndm.............. 5.000 100.000 5.000 10.000 10.000 10.000 10.000 25.000 35.000 20.000 200.000
RndmArray......... 5.000 50.000 5.000 5.000 10.000 5.000 10.000 20.000 30.000 20.000 200.000
Gaus.............. 25.000 150.000 25.000 35.000 40.000 35.000 40.000 60.000 70.000 40.000
Rannor............ 30.000 100.000 30.000 30.000 35.000 30.000 35.000 45.000 60.000 40.000
Landau............ 15.000 100.000 15.000 20.000
Exponential....... 15.000 100.000 20.000 20.000
Binomial(5,0.5)... 20.000 400.000 35.000 30.000
Binomial(15,0.5).. 65.000 1250.000 80.000 85.000
Poisson(3)........ 40.000 400.000 45.000 55.000
Poisson(10)....... 75.000 900.000 85.000 90.000
Poisson(70)....... 245.000 550.000 255.000 260.000
Poisson(100)...... 245.000 550.000 255.000 260.000
GausTF1........... 55.000 130.000 55.000 55.000
LandauTF1......... 50.000 130.000 50.000 60.000
GausUNURAN........ 20.000 105.000 25.000 25.000
PoissonUNURAN(10). 50.000 195.000 50.000 55.000
PoissonUNURAN(100) 45.000 200.000 50.000 50.000
#include <TRandom1.h>
#include <TRandom2.h>
#include <TRandom3.h>
#include <TRandomGen.h>
#include <TStopwatch.h>
#include <TF1.h>
#if __has_include("TUnuran.h") // handy check
#include <TUnuran.h>
#include <TUnuranContDist.h>
#endif
#include <TFile.h>
void testAll() {
int i, N = 2000000;
float cpn = 1000000000./N;
int N1 = N/10; float cpn1 = cpn*10; // for TRandom1
double x,y;
TRandom *rsave = gRandom;
TRandom *r0 = new TRandom();
TRandom *r1 = new TRandom1();
TRandom *r2 = new TRandom2();
TRandom *r3 = new TRandom3();
TRandom *r4 = new TRandomMixMax();
TRandom *r5 = new TRandomMixMax17();
TRandom *r6 = new TRandomGen<ROOT::Math::MixMaxEngine<256,0>>();
TRandom *r7 = new TRandomMixMax256();
TRandom *r8 = new TRandomGen<ROOT::Math::MixMaxEngine<256,4>>();
TRandom *r9 = new TRandomMT64();
TRandom *r10 = new TRandomRanlux48();
TStopwatch sw;
printf("Distribution nanoseconds/call\n");
printf(" TRandom TRandom1 TRandom2 TRandom3 MixMax240 MixMax17 Mixmax256_0 MixMax256_2 MixMax256_4 MT_64 Ranlux48\n");
sw.Start();
for (i=0;i<N;i++) {
x = r0->Rndm(i);
}
printf("Rndm.............. %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn);
// new random generators
sw.Start();
for (i=0;i<N;i++) {
x = r4->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r5->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r6->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r7->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r8->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r9->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r10->Rndm(i);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
printf("\n\n");
// RNDMARRAY
const int NR = 1000;
double rn[NR];
sw.Start();
for (i=0;i<N;i+=NR) {
r0->RndmArray(NR,rn);
}
printf("RndmArray......... %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i+=NR) {
r1->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i+=NR) {
r2->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=NR) {
r3->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=NR) {
r4->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=NR) {
r5->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=NR) {
r6->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=NR) {
r7->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=NR) {
r8->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=NR) {
r9->RndmArray(NR,rn);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i+=NR) {
r10->RndmArray(NR,rn);
}
printf(" %8.3f\n",sw.CpuTime()*cpn1);
// Gaus
sw.Start();
for (i=0;i<N;i++) {
x = r0->Gaus(0,1);
}
printf("Gaus.............. %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Gaus(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Gaus(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Gaus(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r4->Gaus(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r5->Gaus(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r6->Gaus(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r7->Gaus(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r8->Gaus(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r9->Gaus(0,1);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
// RANNOR
sw.Start();
for (i=0;i<N;i+=2) {
r0->Rannor(x,y);
}
printf("Rannor............ %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i+=2) {
r1->Rannor(x,y);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i+=2) {
r2->Rannor(x,y);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=2) {
r3->Rannor(x,y);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=2) {
r4->Rannor(x,y);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=2) {
r5->Rannor(x,y);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=2) {
r6->Rannor(x,y);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=2) {
r7->Rannor(x,y);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=2) {
r8->Rannor(x,y);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i+=2) {
r9->Rannor(x,y);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
// Landau
sw.Start();
for (i=0;i<N;i++) {
x = r0->Landau(0,1);
}
printf("Landau............ %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Landau(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Landau(0,1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Landau(0,1);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r0->Exp(1);
}
printf("Exponential....... %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Exp(1);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Exp(1);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Exp(1);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r0->Binomial(5,0.5);
}
printf("Binomial(5,0.5)... %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Binomial(5,0.5);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Binomial(5,0.5);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Binomial(5,0.5);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r0->Binomial(15,0.5);
}
printf("Binomial(15,0.5).. %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Binomial(15,0.5);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Binomial(15,0.5);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Binomial(15,0.5);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r0->Poisson(3);
}
printf("Poisson(3)........ %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Poisson(3);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Poisson(3);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Poisson(3);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r0->Poisson(10);
}
printf("Poisson(10)....... %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Poisson(10);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Poisson(10);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Poisson(10);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r0->Poisson(70);
}
printf("Poisson(70)....... %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Poisson(70);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Poisson(70);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Poisson(70);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r0->Poisson(100);
}
printf("Poisson(100)...... %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N1;i++) {
x = r1->Poisson(100);
}
printf(" %8.3f",sw.CpuTime()*cpn1);
sw.Start();
for (i=0;i<N;i++) {
x = r2->Poisson(100);
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = r3->Poisson(100);
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
TF1 *f1 = new TF1("f1","gaus",-4,4);
f1->SetParameters(1,0,1);
gRandom = r0;
sw.Start();
for (i=0;i<N;i++) {
x = f1->GetRandom();
}
printf("GausTF1........... %8.3f",sw.CpuTime()*cpn);
gRandom = r1;
sw.Start();
for (i=0;i<N;i++) {
x = f1->GetRandom();
}
printf(" %8.3f",sw.CpuTime()*cpn);
gRandom = r2;
sw.Start();
for (i=0;i<N;i++) {
x = f1->GetRandom();
}
printf(" %8.3f",sw.CpuTime()*cpn);
gRandom = r3;
sw.Start();
for (i=0;i<N;i++) {
x = f1->GetRandom();
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
TF1 *f2 = new TF1("f2","landau",-5,15);
f2->SetParameters(1,0,1);
gRandom = r0;
sw.Start();
for (i=0;i<N;i++) {
x = f2->GetRandom();
}
printf("LandauTF1......... %8.3f",sw.CpuTime()*cpn);
gRandom = r1;
sw.Start();
for (i=0;i<N;i++) {
x = f2->GetRandom();
}
printf(" %8.3f",sw.CpuTime()*cpn);
gRandom = r2;
sw.Start();
for (i=0;i<N;i++) {
x = f2->GetRandom();
}
printf(" %8.3f",sw.CpuTime()*cpn);
gRandom = r3;
sw.Start();
for (i=0;i<N;i++) {
x = f2->GetRandom();
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
// test using Unuran
#if __has_include("TUnuran.h")
TUnuran unr0(r0);
TUnuran unr1(r1);
TUnuran unr2(r2);
TUnuran unr3(r3);
// continuous distribution (ex. Gaus)
TUnuranContDist dist(f1);
// use arou method (is probably the fastest)
unr0.Init(dist,"arou");
unr1.Init(dist,"arou");
unr2.Init(dist,"arou");
unr3.Init(dist,"arou");
sw.Start();
for (i=0;i<N;i++) {
x = unr0.Sample();
}
printf("GausUNURAN........ %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr1.Sample();
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr2.Sample();
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr3.Sample();
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
// Poisson (need to initialize before with Poisson mu value)
unr0.InitPoisson(10);
unr1.InitPoisson(10);
unr2.InitPoisson(10);
unr3.InitPoisson(10);
sw.Start();
for (i=0;i<N;i++) {
x = unr0.SampleDiscr();
}
printf("PoissonUNURAN(10). %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr1.SampleDiscr();
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr2.SampleDiscr();
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr3.SampleDiscr();
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
unr0.InitPoisson(100);
unr1.InitPoisson(100);
unr2.InitPoisson(100);
unr3.InitPoisson(100);
sw.Start();
for (i=0;i<N;i++) {
x = unr0.SampleDiscr();
}
printf("PoissonUNURAN(100) %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr1.SampleDiscr();
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr2.SampleDiscr();
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr3.SampleDiscr();
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
#endif
delete r0;
delete r1;
delete r2;
delete r3;
delete r4;
delete r5;
delete r6;
delete r7;
delete r8;
delete r9;
delete r10;
gRandom = rsave;
#ifdef LATER
#if __has_include("TUnuran.h")
// Binomial
unr0.InitBinomial(15,0.5);
unr1.InitBinomial(15,0.5);
unr2.InitBinomial(15,0.5);
unr3.InitBinomial(15,0.5);
sw.Start();
for (i=0;i<N;i++) {
x = unr0.SampleDiscr();
}
printf("BinomialUN(15,0.5) %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr1.SampleDiscr();
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr2.SampleDiscr();
}
printf(" %8.3f",sw.CpuTime()*cpn);
sw.Start();
for (i=0;i<N;i++) {
x = unr3.SampleDiscr();
}
printf(" %8.3f\n",sw.CpuTime()*cpn);
#endif
#endif
}
int testRandom3() {
Float_t RefValue[] = // running using a seed of 4357 ROOT 5.13.07 and checked with GSL 1.8
{ 0.999741749, 0.162909875, 0.282617805, 0.947201082, 0.231656543, 0.484973614, 0.957476957, 0.744305343,
0.540043658, 0.739952981, 0.759943798, 0.658636614, 0.315637622, 0.804403015, 0.519672115, 0.168572422,
0.47552973, 0.392313994, 0.221667687, 0.213190459,0.0303352042, 0.33353925, 0.194148851, 0.943716781,
0.579931675, 0.898304858, 0.665563931, 0.49861031, 0.560628257, 0.182284646, 0.296525531, 0.117408933,
0.0629176658, 0.648125575, 0.725418529, 0.637131158, 0.713885062,0.0995762432, 0.699267196, 0.10781247,
0.129242751, 0.502403039, 0.207779906, 0.288910306,0.0831747944, 0.128124215, 0.547371411,0.0823195996,
0.292141427, 0.891623737, 0.227117839, 0.431845463, 0.140733001, 0.400392135, 0.686946901, 0.170670911,
0.440820868, 0.045336565, 0.311296414, 0.506181051, 0.18241084, 0.511032015, 0.740788205, 0.365988627,
0.160808837, 0.460106785, 0.627836472, 0.677603688, 0.698196523, 0.478536868,0.0901075942, 0.338728522,
0.0952137967, 0.436541964, 0.474673352, 0.419245926, 0.777536852, 0.624610565, 0.98043655, 0.370430201,
0.830812636, 0.140806447, 0.744085307, 0.82973968, 0.391104318, 0.621956392, 0.346699478,0.0461695245,
0.613066321, 0.567374048, 0.498894026, 0.723802079, 0.144550525,0.0423031633, 0.310787023, 0.121641154,
0.242069671, 0.381058855, 0.440128537, 0.599795902, 0.644574654, 0.432626217, 0.555968262, 0.716841168,
0.642362515, 0.685776725,0.0961581462, 0.122933464,0.0569974151, 0.820072044, 0.125539286, 0.315745071,
0.180566925, 0.142227219, 0.664429613, 0.685189223, 0.191001933, 0.436343019, 0.964459225, 0.86816359,
0.130879965, 0.48444228, 0.374654451, 0.900475122, 0.178656787, 0.679635131, 0.62287431, 0.98365595,
0.44071478, 0.804737277, 0.994845061, 0.541550961, 0.255905455, 0.638945635, 0.57591027, 0.25872142,
0.191593001, 0.445663047, 0.149266509, 0.996723689, 0.121762222, 0.65153928,0.0277950978, 0.389977602,
0.827913044, 0.283813907, 0.610203644, 0.23641275, 0.41082105, 0.677714617, 0.847126588, 0.649256228,
0.0813826511, 0.120830484, 0.479199264, 0.777878358, 0.471977701, 0.943337511, 0.980800992, 0.334554731,
0.202667924, 0.342841234, 0.653544244, 0.682758797, 0.60993614,0.0999271029, 0.766254981, 0.735581528,
0.24113914, 0.263178711, 0.960869899, 0.423395737, 0.336058146,0.000249497825, 0.868841017,0.00375315035,
0.165846311,0.0118208411, 0.606455074, 0.729972019, 0.613824557, 0.965768184, 0.497098261, 0.529885403,
0.461607532, 0.713033701, 0.579959768, 0.682802555, 0.953921514,0.0236552036, 0.280110147, 0.869526353,
0.299333274, 0.319553603, 0.300951709, 0.941111486, 0.848127064, 0.753346129, 0.538244087, 0.408481381,
0.212371316,0.0761404021, 0.289934908,0.0197818337, 0.241247899, 0.384619165, 0.454906886, 0.373982521,
0.440188796, 0.117896808, 0.805429845, 0.164892641, 0.282529936, 0.172685399, 0.93584233, 0.68095306,
0.133696739, 0.254761223, 0.399444876, 0.369235365, 0.726361892, 0.277837459, 0.693569104, 0.500354689,
0.118405538, 0.151303335, 0.681446943, 0.720665918, 0.979646939, 0.696779111, 0.557210072, 0.680821482,
0.95535205, 0.598208956, 0.770453895, 0.913597486, 0.658958649, 0.670974613, 0.578185175, 0.95303929,
0.162923458, 0.335056986, 0.951824704, 0.109661644, 0.619302303, 0.956816742, 0.985243094,0.0707377489,
0.50233039, 0.680721226, 0.553320066, 0.587005581, 0.691620562, 0.46264791, 0.574254294, 0.072890088,
0.638266518, 0.387757288, 0.220960217,0.00223180233, 0.495656775, 0.191316523, 0.022265008, 0.903589021,
0.738628175, 0.44453089, 0.417702243, 0.760861122, 0.437753222, 0.190982861, 0.577112962, 0.132688343,
0.317824347, 0.48691649, 0.939091069, 0.933946281, 0.073660135, 0.612436295, 0.514748724, 0.624663582,
0.130645262, 0.645210441, 0.13414855, 0.652925968, 0.265210009, 0.381805269, 0.59021506, 0.669704082,
0.55433248,0.0195047602, 0.184346962, 0.991180462, 0.573677764, 0.637762085, 0.594857598, 0.515244688,
0.330693509, 0.39674245, 0.88396548, 0.771485266, 0.599075381,0.0247266297,0.0122587895, 0.698452319,
0.265991009, 0.736700721, 0.999972619, 0.749792316, 0.484955589, 0.823700529, 0.62277709, 0.902512094,
0.0565051287, 0.739077389, 0.37617622, 0.036800765, 0.776198219, 0.837354186, 0.34508193,0.0818426476,
0.222621545, 0.152476319, 0.401177195, 0.531612608, 0.811706602,0.0407775661, 0.117889008, 0.575189965,
0.832362208, 0.204641853, 0.238721773, 0.9969287, 0.258590596, 0.892055968, 0.846859788, 0.306583706,
0.0333624918, 0.706420498, 0.193615608, 0.508978138,0.0215451468, 0.672732793, 0.813562444, 0.807284052,
0.481526843, 0.537519095, 0.780848606, 0.335848908, 0.699259371, 0.425855299, 0.825240663, 0.945613692,
0.55484125, 0.710495188, 0.378360366, 0.648338731,0.0456727168, 0.155477323, 0.885353968, 0.721565725,
0.961667201, 0.430300885, 0.132031354, 0.439331209, 0.467187736, 0.410083217, 0.277196711, 0.278509559,
0.954620806, 0.804357491, 0.968510466, 0.999722791, 0.947160283, 0.248551138,0.0067049861, 0.444727315,
0.674048778, 0.496480361,0.0210092501, 0.831763222, 0.108545852,0.0931516394, 0.89020564, 0.445945211,
0.906906768, 0.554039821, 0.759434349, 0.815551384, 0.532968503,0.0551351462,0.0539856541, 0.89918819,
0.146907374, 0.482647314,0.0673029809, 0.281161865, 0.932849165, 0.507317933, 0.564503014, 0.8007132,
0.645887499, 0.309219498,0.0478066066, 0.25196583, 0.713881142, 0.670994017, 0.60528576, 0.148271899,
0.79525035, 0.665277353, 0.854302043, 0.810533677,0.0711439839,0.0687935678, 0.890466573, 0.758045957,
0.0703105873, 0.852094478, 0.775356902, 0.684895203, 0.234552787, 0.461575694, 0.936435457, 0.664946419,
0.45967959, 0.88782351, 0.574622261,0.0301686234, 0.767354721, 0.345478555, 0.609123143, 0.21754287,
0.643760561, 0.571392649, 0.802311049, 0.962335547, 0.401769856, 0.996553418, 0.745945812, 0.448411183,
0.39578428, 0.123389926, 0.532614913, 0.833379602, 0.91767313, 0.825607567, 0.4459154, 0.267136201,
0.6643989, 0.766860694, 0.665968275, 0.503955105, 0.835153702, 0.622405379, 0.457538918, 0.554983278,
0.36581371, 0.656302231, 0.917038669, 0.276054591, 0.121214441, 0.966178254, 0.697439008, 0.443547789,
0.630195824, 0.368346675, 0.238191956, 0.300273821, 0.710332172,0.0474748381, 0.492525443,0.0812539798,
0.122016782, 0.99310218, 0.355091027, 0.764863731, 0.904099543, 0.396109613, 0.817134856, 0.348974222,
0.266193634, 0.367501958, 0.752316213, 0.587800024, 0.489421095, 0.673474061, 0.328296139, 0.853945839,
0.832380736, 0.159588686, 0.322411022, 0.950173707, 0.095376712, 0.231019855, 0.860607752, 0.359627192,
0.984843699,0.0319756679, 0.828649914, 0.51680949, 0.489407924, 0.963977298, 0.960131739, 0.681816791,
0.860788169, 0.455829282, 0.332390656,0.0591498043, 0.452245977, 0.217354216, 0.34560744, 0.549971993,
0.317622252, 0.892976443, 0.49004545, 0.25647901, 0.968998638, 0.910636465, 0.226717598, 0.327828572,
0.28670209, 0.142515054,0.0992817392, 0.192332409, 0.308376869, 0.871415959, 0.391148786, 0.788660882,
0.200816041, 0.986475959, 0.882862126, 0.109862451, 0.354283255, 0.555742682, 0.690698458, 0.643815752,
0.363104285,0.0788627111, 0.200820414, 0.71697353, 0.744353746, 0.76763643, 0.245442451, 0.668009119,
0.886989377, 0.366849931, 0.531556628, 0.502843979, 0.31454367, 0.622541364,0.0199038582, 0.676355134,
0.429818622, 0.232835212, 0.987619457, 0.306572135, 0.494637038, 0.748614893, 0.891843561,0.0452854959,
0.427561072, 0.226978442, 0.484072985, 0.16464563,0.0898074883, 0.384263737,0.0238354723, 0.329734547,
0.531230736, 0.476683361, 0.877482474, 0.455501628, 0.497302495, 0.396184301, 0.886124728, 0.736070092,
0.108917595, 0.397921902, 0.842575021, 0.82620032, 0.936655165, 0.24558961, 0.639688616, 0.493335031,
0.0734495069, 0.780138101,0.0421121232, 0.701116477, 0.940523267, 0.70054817, 0.776760272, 0.192742581,
0.0069252688, 0.842983626, 0.919324176, 0.242083269, 0.190100674, 0.735084639, 0.164522319, 0.99030645,
0.98284794, 0.657169539,0.0187736442, 0.759596482, 0.357567611, 0.509016344, 0.738899681, 0.567923164,
0.289056634, 0.41501714, 0.981054561, 0.365884479, 0.517878261, 0.844209022, 0.968122653, 0.258894528,
0.478310441, 0.437340986, 0.379398001, 0.203081884, 0.550820748, 0.255542723, 0.550098031, 0.870477939,
0.241230214, 0.157108238, 0.218260827, 0.116277737, 0.749018275, 0.158290659, 0.476353907, 0.545327323,
0.878978121,0.0171442169, 0.542981987, 0.318018082, 0.788805343, 0.871721374, 0.738490409,0.0923330146,
0.301398643, 0.637103286, 0.571564271, 0.712810342, 0.644289242, 0.230476008, 0.971695586, 0.966159428,
0.291883909, 0.175285818, 0.312882552, 0.98465128, 0.568391354, 0.844468564, 0.144433908, 0.45994061,
0.607897905, 0.184122705, 0.342805493, 0.606432998, 0.838196585, 0.186188518,0.0302744689, 0.307391858,
0.125286029, 0.270394965, 0.874161481, 0.370509557, 0.89423337, 0.407995674, 0.881878469, 0.647951238,
0.236986727, 0.528807336, 0.293731542,0.0943204253, 0.934538626, 0.121679332, 0.34968176,0.0670268578,
0.642196769, 0.692447138, 0.334926733, 0.374244194, 0.313885051, 0.538738295, 0.098592523, 0.490514225,
0.32873567, 0.709725794, 0.88169803, 0.393000481, 0.854243273, 0.463776593, 0.52705639, 0.493309892,
0.267784336, 0.583077476,0.0573514167, 0.959336368, 0.771417173,0.0427184631, 0.498433369,0.0522942701,
0.56155145, 0.960361909, 0.619817314, 0.528628368, 0.698235179, 0.186162042, 0.553998168, 0.666120292,
0.152731049, 0.948750157, 0.186825789, 0.580512664, 0.851024442, 0.106865844, 0.675861737, 0.79604524,
0.657646103,0.00934952381, 0.206267588, 0.636420368,0.0382564603, 0.67771025, 0.677917925, 0.671684269,
0.396317716, 0.661597047, 0.633360383, 0.962124239, 0.992711418,0.0993448263,0.0678932741, 0.426013152,
0.947045502, 0.708326009, 0.466817846,0.0448362886, 0.748580922, 0.678370694, 0.210921343, 0.398490306,
0.953675585,0.0289022848, 0.935766569, 0.846930474, 0.662760176, 0.867910903, 0.652359324, 0.45280494,
0.305228982, 0.352034987, 0.279643402, 0.236045594,0.0270034608, 0.652062389, 0.712000227, 0.619930867,
0.125439078, 0.452789963, 0.92233151, 0.120844359, 0.403808975, 0.260290446, 0.778843638, 0.6678412,
0.0267894373, 0.491332301, 0.915060888, 0.704025347, 0.628200853, 0.578338467, 0.629156416, 0.730410649,
0.641318334, 0.463709335, 0.614291239, 0.254470656, 0.808682692, 0.22898373, 0.450477996, 0.874235142,
0.202773906, 0.523711192, 0.126518266, 0.579402899, 0.26188467, 0.207769057, 0.55283816, 0.851395364,
0.513594437, 0.558259845, 0.666148535, 0.998974657, 0.178274074, 0.116739636,0.0684255431, 0.622713377,
0.31448295, 0.889827933, 0.80647766, 0.429916949, 0.524695458, 0.45267553, 0.630743121, 0.566594485,
0.958860663, 0.908052286, 0.700898262, 0.377025384, 0.683796226, 0.198088462, 0.617400699, 0.413726158,
0.823588417, 0.755577948, 0.703097317, 0.364294278, 0.819786986, 0.751581763, 0.048769509, 0.528569003,
0.616748192, 0.270942831, 0.800841747, 0.235174223, 0.903786552, 0.258801569, 0.191336412, 0.012410342,
0.853413998, 0.621008712, 0.855861931, 0.140106201, 0.872687964, 0.708839735,0.0926409892,0.0207504195,
0.782636518,0.0300825236, 0.504610632,0.0816221782, 0.773493745, 0.872577282, 0.880031248, 0.883524299,
0.872427328, 0.458722225, 0.902298841, 0.547904952,0.0559884352, 0.591179888, 0.563941709, 0.776130076,
0.295569778,0.0408536533, 0.398567183, 0.28227462, 0.806716321, 0.507159362, 0.688150965, 0.49466404,
0.45454604, 0.421480091,0.0392517329,0.0911962031, 0.393815309, 0.135373195, 0.968650583, 0.811676111,
0.325965411, 0.961999178, 0.100281202, 0.102924612, 0.30725909, 0.33368206, 0.857966134, 0.522921736,
0.615500041, 0.981558684, 0.797484739, 0.198809674, 0.45670419, 0.570970797, 0.214908696, 0.686433314,
0.278602115, 0.179739848, 0.397497946, 0.162858935, 0.802621762,0.0836459133, 0.638270752, 0.230856518,
0.580094379, 0.864292514, 0.932738287, 0.821393124, 0.480590473, 0.636373016, 0.181508656, 0.469200501,
0.309276441, 0.668810431, 0.722341161, 0.574856669, 0.527854513, 0.809231559, 0.986882661, 0.323860496,
0.606396459, 0.759558966, 0.79096818,0.0699298142, 0.550465414,0.00929828244, 0.784629475, 0.689044114,
0.963588091, 0.516441598, 0.357178305, 0.482336892, 0.429959602, 0.996306147, 0.601176011, 0.785004207,
0.970542121, 0.487854549,0.0949267522, 0.979331773, 0.120877739, 0.630260336, 0.19424754, 0.213081703,
0.0145987798, 0.366671115, 0.340100777, 0.721786347, 0.367533113,0.0210335371, 0.131687992, 0.586759676,
0.73360464, 0.863635151, 0.136994646,0.0524269778, 0.406223408, 0.241656947, 0.472450703, 0.872215979,
0.454719233,0.0715790696, 0.314061244, 0.492823114, 0.741721134, 0.694783663, 0.982867872, 0.319748137,
0.804203704,0.0534678153, 0.746155348, 0.303474931,0.0930815139, 0.934531664, 0.746868186, 0.100048471,
0.720296508, 0.21075374, 0.96309675, 0.749189411, 0.739621932, 0.510072327,0.0872929865, 0.650020469,
0.0823648495, 0.726920745, 0.532618265, 0.749305866, 0.86126694,0.0346994482,0.0931224583, 0.655257095,
0.959517847, 0.487057231, 0.859895745, 0.084794421, 0.718541715, 0.850918328, 0.818884782, 0.71627446,
0.40822393, 0.63658567, 0.523838703, 0.372038872, 0.353426097, 0.598049047,0.0974868746, 0.276353038
};
Int_t rc1 = 0;
Int_t rc2 = 0;
TRandom3 r(4357);
Float_t x;
Int_t i;
// check whether the sequence is ok or not
for (i=0;i<1000;i++) {
x = r.Rndm();
// printf("%e ",x-RefValue[i]); if(i%8==7) printf("\n");
if (TMath::Abs(x-RefValue[i]) > 10e-8) {
printf("i=%d x=%.8f but should be %.8f\n",i,x,RefValue[i]);
rc1 += 1;
}
}
// check whether a state can be saved and restored
TFile *file = new TFile("random3.root","RECREATE");
file->SetCompressionLevel(0);
r.Write("r");
delete file;
file = new TFile("random3.root");
TRandom3 *rs = (TRandom3*) file->Get("r");
for (i=0;i<1000;i++) {
if (r.Rndm() - rs->Rndm() != 0) rc2 += 1;
}
if (rc2 != 0) printf("state restoration failed\n");
return rc1 + rc2;
}
void testrandom()
{
testRandom3();
testAll();
}
e
#define e(i)
Definition RSha256.hxx:103
Int_t
int Int_t
Definition RtypesCore.h:45
Float_t
float Float_t
Definition RtypesCore.h:57
N
#define N
r
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t r
Definition TGWin32VirtualXProxy.cxx:168
gRandom
R__EXTERN TRandom * gRandom
Definition TRandom.h:62
TDirectoryFile::Get
TObject * Get(const char *namecycle) override
Return pointer to object identified by namecycle.
Definition TDirectoryFile.cxx:937
TF1
1-Dim function class
Definition TF1.h:233
TF1::GetRandom
virtual Double_t GetRandom(TRandom *rng=nullptr, Option_t *opt=nullptr)
Return a random number following this function shape.
Definition TF1.cxx:2192
TF1::SetParameters
virtual void SetParameters(const Double_t *params)
Definition TF1.h:677
TFile
A ROOT file is an on-disk file, usually with extension .root, that stores objects in a file-system-li...
Definition TFile.h:53
TFile::SetCompressionLevel
virtual void SetCompressionLevel(Int_t level=ROOT::RCompressionSetting::ELevel::kUseMin)
See comments for function SetCompressionSettings.
Definition TFile.cxx:2316
TRandom3::Rndm
Double_t Rndm() override
Machine independent random number generator.
Definition TRandom3.cxx:99
TRandomGen::Rndm
Double_t Rndm() override
Machine independent random number generator.
Definition TRandomGen.h:62
TRandomGen::RndmArray
void RndmArray(Int_t n, Float_t *array) override
Return an array of n random numbers uniformly distributed in ]0,1].
Definition TRandomGen.h:63
TRandom::Gaus
virtual Double_t Gaus(Double_t mean=0, Double_t sigma=1)
Samples a random number from the standard Normal (Gaussian) Distribution with the given mean and sigm...
Definition TRandom.cxx:275
TRandom::RndmArray
virtual void RndmArray(Int_t n, Float_t *array)
Return an array of n random numbers uniformly distributed in ]0,1].
Definition TRandom.cxx:595
TRandom::Rndm
Double_t Rndm() override
Machine independent random number generator.
Definition TRandom.cxx:559
TRandom::Rannor
virtual void Rannor(Float_t &a, Float_t &b)
Return 2 numbers distributed following a gaussian with mean=0 and sigma=1.
Definition TRandom.cxx:507
TRandom::Poisson
virtual ULong64_t Poisson(Double_t mean)
Generates a random integer N according to a Poisson law.
Definition TRandom.cxx:404
TRandom::Exp
virtual Double_t Exp(Double_t tau)
Returns an exponential deviate.
Definition TRandom.cxx:252
TRandom::Landau
virtual Double_t Landau(Double_t mean=0, Double_t sigma=1)
Generate a random number following a Landau distribution with location parameter mu and scale paramet...
Definition TRandom.cxx:381
TRandom::Binomial
virtual Int_t Binomial(Int_t ntot, Double_t prob)
Generates a random integer N according to the binomial law.
Definition TRandom.cxx:212
TStopwatch
Stopwatch class.
Definition TStopwatch.h:28
TStopwatch::Start
void Start(Bool_t reset=kTRUE)
Start the stopwatch.
Definition TStopwatch.cxx:58
TStopwatch::CpuTime
Double_t CpuTime()
Stop the stopwatch (if it is running) and return the cputime (in seconds) passed between the start an...
Definition TStopwatch.cxx:125
TUnuranContDist
TUnuranContDist class describing one dimensional continuous distribution.
Definition TUnuranContDist.h:48
TUnuran
TUnuran class.
Definition TUnuran.h:79
TRandomMixMax
TRandomGen< ROOT::Math::MixMaxEngine< 240, 0 > > TRandomMixMax
MIXMAX generator based on a state of N=240.
Definition TRandomGen.h:105
TRandomMT64
TRandomGen< ROOT::Math::StdEngine< std::mt19937_64 > > TRandomMT64
Generator based on a the Mersenne-Twister generator with 64 bits, using the implementation provided b...
Definition TRandomGen.h:141
TRandomMixMax256
TRandomGen< ROOT::Math::MixMaxEngine< 256, 2 > > TRandomMixMax256
MIXMAX generator based on a state of N=256, based on the generator described in this paper:
Definition TRandomGen.h:130
TRandomMixMax17
TRandomGen< ROOT::Math::MixMaxEngine< 17, 0 > > TRandomMixMax17
MIXMAX generator based on a state of N=17.
Definition TRandomGen.h:116
TRandomRanlux48
TRandomGen< ROOT::Math::StdEngine< std::ranlux48 > > TRandomRanlux48
Generator based on a the RanLux generator with 48 bits, using the implementation provided by the stan...
Definition TRandomGen.h:149
y
Double_t y[n]
Definition legend1.C:17
x
Double_t x[n]
Definition legend1.C:17
f1
TF1 * f1
Definition legend1.C:11
ROOT::Math::gv_detail::dist
double dist(Rotation3D const &r1, Rotation3D const &r2)
Definition 3DDistances.cxx:48
TMath::Abs
Short_t Abs(Short_t d)
Returns the absolute value of parameter Short_t d.
Definition TMathBase.h:123
Authors
Rene Brun, Lorenzo Moneta

Definition in file testrandom.C.