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RooHeterogeneousMath Namespace Reference

## Functions

__roodevice__ static __roohost__ void cexp (double &re, double &im)

__roohost__ __roodevice__ STD::complex< doubleevalCerf (double swt, double u, double c)

__roohost__ __roodevice__ STD::complex< doubleevalCerfApprox (double _x, double u, double c)
use the approximation: erf(z) = exp(-z*z)/(STD::sqrt(pi)*z) to explicitly cancel the divergent exp(y*y) behaviour of CWERF for z = x + i y with large negative y

__roodevice__ __roohost__ STD::complex< doublefaddeeva (STD::complex< double > z)

__roodevice__ __roohost__ STD::complex< doublefaddeeva_fast (STD::complex< double > z)

template<class T , unsigned N, unsigned NTAYLOR, unsigned NCF>
__roodevice__ static __roohost__ STD::complex< T > faddeeva_smabmq_impl (T zre, T zim, const T tm, const T(&a)[N], const T(&npi)[N], const T(&taylorarr)[N *NTAYLOR *2])

## Variables

__roodevice__ const double a11 [11]

static __roodevice__ const double a24 [24]

__roodevice__ const double npi11 [11]

static __roodevice__ const double npi24 [24]

__roodevice__ const double taylorarr11 [11 *6]

static __roodevice__ const double taylorarr24 [24 *12]

## ◆ cexp()

 __roodevice__ static __roohost__ void RooHeterogeneousMath::cexp ( double & re, double & im )
inlinestatic

Definition at line 37 of file RooHeterogeneousMath.h.

## ◆ evalCerf()

 __roohost__ __roodevice__ STD::complex< double > RooHeterogeneousMath::evalCerf ( double swt, double u, double c )
inline

Definition at line 580 of file RooHeterogeneousMath.h.

## ◆ evalCerfApprox()

 __roohost__ __roodevice__ STD::complex< double > RooHeterogeneousMath::evalCerfApprox ( double _x, double u, double c )
inline

use the approximation: erf(z) = exp(-z*z)/(STD::sqrt(pi)*z) to explicitly cancel the divergent exp(y*y) behaviour of CWERF for z = x + i y with large negative y

Definition at line 566 of file RooHeterogeneousMath.h.

 __roodevice__ __roohost__ STD::complex< double > RooHeterogeneousMath::faddeeva ( STD::complex< double > z )
inline

Definition at line 547 of file RooHeterogeneousMath.h.

 __roodevice__ __roohost__ STD::complex< double > RooHeterogeneousMath::faddeeva_fast ( STD::complex< double > z )
inline

Definition at line 554 of file RooHeterogeneousMath.h.

template<class T , unsigned N, unsigned NTAYLOR, unsigned NCF>
 __roodevice__ static __roohost__ STD::complex< T > RooHeterogeneousMath::faddeeva_smabmq_impl ( T zre, T zim, const T tm, const T(&) a[N], const T(&) npi[N], const T(&) taylorarr[N *NTAYLOR *2] )
inlinestatic

Definition at line 121 of file RooHeterogeneousMath.h.

## ◆ a11

 __roodevice__ const double RooHeterogeneousMath::a11[11]
Initial value:
= {
4.43113462726379007e-01, 3.79788034073635143e-01, 2.39122407410867584e-01,
1.10599187402169792e-01, 3.75782250080904725e-02, 9.37936104296856288e-03,
1.71974046186334976e-03, 2.31635559000523461e-04, 2.29192401420125452e-05,
1.66589592139340077e-06, 8.89504561311882155e-08
}

Definition at line 492 of file RooHeterogeneousMath.h.

## ◆ a24

 __roodevice__ const double RooHeterogeneousMath::a24[24]
static
Initial value:
= {
2.95408975150919338e-01, 2.75840233292177084e-01, 2.24573955224615866e-01,
1.59414938273911723e-01, 9.86657664154541891e-02, 5.32441407876394120e-02,
2.50521500053936484e-02, 1.02774656705395362e-02, 3.67616433284484706e-03,
1.14649364124223317e-03, 3.11757015046197600e-04, 7.39143342960301488e-05,
1.52794934280083635e-05, 2.75395660822107093e-06, 4.32785878190124505e-07,
5.93003040874588103e-08, 7.08449030774820423e-09, 7.37952063581678038e-10,
6.70217160600200763e-11, 5.30726516347079017e-12, 3.66432411346763916e-13,
2.20589494494103134e-14, 1.15782686262855879e-15, 5.29871142946730482e-17,
}

Definition at line 304 of file RooHeterogeneousMath.h.

## ◆ npi11

 __roodevice__ const double RooHeterogeneousMath::npi11[11]
Initial value:
= {
0.00000000000000000e+00, 3.14159265358979324e+00, 6.28318530717958648e+00,
9.42477796076937972e+00, 1.25663706143591730e+01, 1.57079632679489662e+01,
1.88495559215387594e+01, 2.19911485751285527e+01, 2.51327412287183459e+01,
2.82743338823081391e+01, 3.14159265358979324e+01
}

Definition at line 486 of file RooHeterogeneousMath.h.

## ◆ npi24

 __roodevice__ const double RooHeterogeneousMath::npi24[24]
static
Initial value:
= {
0.00000000000000000e+00, 3.14159265358979324e+00, 6.28318530717958648e+00,
9.42477796076937972e+00, 1.25663706143591730e+01, 1.57079632679489662e+01,
1.88495559215387594e+01, 2.19911485751285527e+01, 2.51327412287183459e+01,
2.82743338823081391e+01, 3.14159265358979324e+01, 3.45575191894877256e+01,
3.76991118430775189e+01, 4.08407044966673121e+01, 4.39822971502571053e+01,
4.71238898038468986e+01, 5.02654824574366918e+01, 5.34070751110264851e+01,
5.65486677646162783e+01, 5.96902604182060715e+01, 6.28318530717958648e+01,
6.59734457253856580e+01, 6.91150383789754512e+01, 7.22566310325652445e+01,
}

Definition at line 294 of file RooHeterogeneousMath.h.

## ◆ taylorarr11

 __roodevice__ const double RooHeterogeneousMath::taylorarr11[11 *6]

Definition at line 498 of file RooHeterogeneousMath.h.

## ◆ taylorarr24

 __roodevice__ const double RooHeterogeneousMath::taylorarr24[24 *12]
static

Definition at line 314 of file RooHeterogeneousMath.h.