HepLib::SD Namespace Reference

namespace for Numerical integration with Sector Decomposition method More...

Classes
struct	FeynmanParameter
	wrap parameters for loop integrals More...
struct	XIntegrand
	wrap parameters for generic parameter integrals More...
class	SecDecBase
	base class of SecDec More...
class	SecDecG
	SecDec by geometric method. More...
class	IntegratorBase
	base for numerical integrator More...
class	HCubature
	numerical integrator using HCubature More...
class	HCubatureMP
	numerical integrator using HCubatureMP More...
class	TanhSinhMP
	numerical integrator using TanhSinhMP More...
class	QuadMP
	numerical integrator using TanhSinhMP More...
class	MinimizeBase
	base for class to minimize a function More...
class	HookeJeeves
	class to minimize a function using HookeJeeves More...
class	CppFormat
	class to export GiNaC expression to cpp format More...
class	ExFormat
class	ErrMin
	ErrMin with HookeJeeves. More...
class	ChengWu
	class to manipulate with Cheng-Wu theorem More...
class	SecDec
	SecDec the main class to use Sector Decompostion method. More...
class	cseParser
	class for Common SubExpression Parser More...
class	cse_Parser

Typedefs
typedef long double	dREAL
typedef complex< dREAL >	dCOMPLEX
typedef __float128	qREAL
typedef __complex128	qCOMPLEX
typedef mpfr::mpreal	mpREAL
typedef complex< mpREAL >	mpCOMPLEX

Functions
void	ex_print_power (const power &p, const ExFormat &c, unsigned level)
	REGISTER_FUNCTION (CV, do_not_evalf_params()) REGISTER_FUNCTION(PL
	do_not_evalf_params ().expl_derivative_func(zd1D).derivative_func(zp1D)) REGISTER_FUNCTION(FTX
exvector	get_xy_from (ex pol)
exvector	get_x_from (ex pol)
exvector	get_y_from (ex pol)
exvector	get_z_from (ex pol)
exvector	get_pl_from (ex pol)
ex	VESimplify (ex expr)
ex	VEResult (ex expr)
ex	VEResult2 (ex expr)
ex	VEMaxErr (ex expr)
int	x_free_index (ex expr)
int	y_free_index (ex expr)
int	epsRank (ex expr_in, ex epi)
int	vsRank (ex expr_in)
ex	Factor (const ex expr_in)
ex	FactorOutX (const ex expr)
ex	exp_simplify (const ex expr_in)
ex	pow_simplify (const ex expr_in)
ex	xyz_pow_simplify (const ex expr_in)
void	Replacement2 (exmap &repl)
	DECLARE_FUNCTION_2P (CV) DECLARE_FUNCTION_1P(WRA) extern int VEO_Digits
vector< int >	zero_row_index (const matrix &mat)
matrix	mat_sub (matrix mat, int r, int nr, int c, int nc)
bool	is_zero_row (const matrix &mat, int r)
matrix	remove_zero_rows (const matrix &mat)
vector< vector< int > >	QHull (const matrix &dc, int dim)

Detailed Description

namespace for Numerical integration with Sector Decomposition method

Typedef Documentation

dCOMPLEX

typedef complex<dREAL> HepLib::SD::dCOMPLEX

Definition at line 122 of file SD.h.

dREAL

typedef long double HepLib::SD::dREAL

Definition at line 121 of file SD.h.

mpCOMPLEX

typedef complex<mpREAL> HepLib::SD::mpCOMPLEX

Definition at line 126 of file SD.h.

mpREAL

typedef mpfr::mpreal HepLib::SD::mpREAL

Definition at line 125 of file SD.h.

qCOMPLEX

typedef __complex128 HepLib::SD::qCOMPLEX

Definition at line 124 of file SD.h.

qREAL

typedef __float128 HepLib::SD::qREAL

Definition at line 123 of file SD.h.

Function Documentation

DECLARE_FUNCTION_2P()

HepLib::SD::DECLARE_FUNCTION_2P

(

CV

)

do_not_evalf_params()

HepLib::SD::do_not_evalf_params

(

)

epsRank()

int HepLib::SD::epsRank	(	ex	expr_in,
		ex	epi
	)

Definition at line 195 of file Helpers.cpp.

ex_print_power()

void HepLib::SD::ex_print_power	(	const power &	p,
		const ExFormat &	c,
		unsigned	level
	)

Definition at line 74 of file ExFormat.cpp.

exp_simplify()

ex HepLib::SD::exp_simplify

(

const ex

expr_in

)

Definition at line 302 of file Helpers.cpp.

Factor()

ex HepLib::SD::Factor

(

const ex

expr_in

)

Definition at line 244 of file Helpers.cpp.

FactorOutX()

ex HepLib::SD::FactorOutX

(

const ex

expr

)

Definition at line 278 of file Helpers.cpp.

get_pl_from()

exvector HepLib::SD::get_pl_from

(

ex

pol

)

Definition at line 74 of file Helpers.cpp.

get_x_from()

exvector HepLib::SD::get_x_from

(

ex

pol

)

Definition at line 29 of file Helpers.cpp.

get_xy_from()

exvector HepLib::SD::get_xy_from

(

ex

pol

)

Definition at line 14 of file Helpers.cpp.

get_y_from()

exvector HepLib::SD::get_y_from

(

ex

pol

)

Definition at line 44 of file Helpers.cpp.

get_z_from()

exvector HepLib::SD::get_z_from

(

ex

pol

)

Definition at line 59 of file Helpers.cpp.

is_zero_row()

bool HepLib::SD::is_zero_row ( const matrix &  mat, int  r  )

inline

Definition at line 38 of file SecDecG.cpp.

mat_sub()

matrix HepLib::SD::mat_sub ( matrix  mat, int  r, int  nr, int  c, int  nc  )

inline

Definition at line 28 of file SecDecG.cpp.

pow_simplify()

ex HepLib::SD::pow_simplify

(

const ex

expr_in

)

Definition at line 317 of file Helpers.cpp.

QHull()

vector<vector<int> > HepLib::SD::QHull ( const matrix &  dc, int  dim  )

inline

Definition at line 63 of file SecDecG.cpp.

REGISTER_FUNCTION()

HepLib::SD::REGISTER_FUNCTION	(	CV	,
		do_not_evalf_params()
	)

remove_zero_rows()

matrix HepLib::SD::remove_zero_rows ( const matrix &  mat )

inline

Definition at line 46 of file SecDecG.cpp.

Replacement2()

void HepLib::SD::Replacement2

(

exmap &

repl

)

Definition at line 21 of file InitEval.cpp.

VEMaxErr()

ex HepLib::SD::VEMaxErr

(

ex

expr

)

Definition at line 131 of file Helpers.cpp.

VEResult()

ex HepLib::SD::VEResult

(

ex

expr

)

Definition at line 123 of file Helpers.cpp.

VEResult2()

ex HepLib::SD::VEResult2

(

ex

expr

)

Definition at line 127 of file Helpers.cpp.

VESimplify()

ex HepLib::SD::VESimplify

(

ex

expr

)

Definition at line 92 of file Helpers.cpp.

vsRank()

int HepLib::SD::vsRank

(

ex

expr_in

)

Definition at line 211 of file Helpers.cpp.

x_free_index()

int HepLib::SD::x_free_index

(

ex

expr

)

Definition at line 165 of file Helpers.cpp.

xyz_pow_simplify()

ex HepLib::SD::xyz_pow_simplify

(

const ex

expr_in

)

Definition at line 336 of file Helpers.cpp.

y_free_index()

int HepLib::SD::y_free_index

(

ex

expr

)

Definition at line 180 of file Helpers.cpp.

zero_row_index()

vector<int> HepLib::SD::zero_row_index ( const matrix &  mat )

inline

Definition at line 13 of file SecDecG.cpp.