mathmoreIntegration.C File Reference

#include "TMath.h"
#include "TH1.h"
#include "TCanvas.h"
#include "TLegend.h"
#include "Math/Functor.h"
#include "Math/WrappedFunction.h"
#include "Math/IFunction.h"
#include "Math/Integrator.h"
#include <iostream>
#include "TStopwatch.h"
#include "TF1.h"
#include <limits>

Go to the source code of this file.

Functions
double	exactIntegral (double a, double b)
double	func (double x)
double	func2 (const double *x, const double *=0)
void	testIntegPerf (double x1, double x2, int n=100000)
void	DrawCumulative (double x1, double x2, int n=100)
void	mathmoreIntegration (double a=-2, double b=2)
Variables
int	nc = 0

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Function Documentation

void DrawCumulative	(	double	x1,
		double	x2,
		int	n = 100
	)

Definition at line 100 of file mathmoreIntegration.C.

References c1, TCanvas::cd(), TPad::Divide(), TH1::Draw(), TCanvas::Draw(), TH1D::DrawCopy(), E, RootCsg::epsilon, exactIntegral(), func(), TH1D::GetBinContent(), i, TF1::Integral(), ROOT::Math::IntegratorOneDim::Integral(), ROOT::Math::IntegrationOneDim::kADAPTIVE, kBlack, kBlue, kRed, l, n, TH1D::SetBinContent(), TH1::SetBinError(), TAttLine::SetLineColor(), TAttLine::SetLineStyle(), TH1::SetStats(), TH1::SetTitle(), TCanvas::Update(), and x.

Referenced by mathmoreIntegration().

double exactIntegral	(	double	a,
		double	b
	)

Definition at line 37 of file mathmoreIntegration.C.

References TMath::ATan(), and TMath::Pi().

double func

(

double

x

)

Definition at line 41 of file mathmoreIntegration.C.

References TMath::BreitWigner(), and nc.

double func2	(	const double *	x,
		const double *	= 0
	)

Definition at line 46 of file mathmoreIntegration.C.

References TMath::BreitWigner(), and nc.

Referenced by RooRealSumPdf::RooRealSumPdf(), testIntegPerf(), and testIntegration().

void mathmoreIntegration	(	double	a = -2,
		double	b = 2
	)

Definition at line 188 of file mathmoreIntegration.C.

References a, b, DrawCumulative(), and testIntegPerf().

void testIntegPerf	(	double	x1,
		double	x2,
		int	n = 100000
	)

Definition at line 54 of file mathmoreIntegration.C.

References func(), func2(), i, TF1::Integral(), ROOT::Math::IntegratorOneDim::Integral(), n, nc, pr(), TStopwatch::RealTime(), s1, s2, TStopwatch::Start(), TStopwatch::Stop(), timer, and x.

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Variable Documentation

int nc = 0

calculates exact integral of Breit Wigner distribution and compares with existing methods

Definition at line 36 of file mathmoreIntegration.C.

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