SecDec the main class to use Sector Decompostion method. More...

#include <SD.h>

Collaboration diagram for HepLib::SD::SecDec:

[legend]

Public Member Functions
void	Initialize (FeynmanParameter fpi)

void	Initialize (XIntegrand xint)

void	BiSection (ex xi, ex x0)

void	Normalizes ()

void	Scalelesses ()

void	SDPrepares ()

void	EpsExpands ()

void	RemoveDeltas ()

void	XReOrders ()

void	XTogethers ()

void	XExpands ()

void	KillPowers (int bits=1+2)
	Kill Powers will call KillPowerD or KillPower. More...

bool	IsBad (ex f, vector< exmap > vmap)
	Check the x-END. More...

exvector	AutoEnd (ex po_ex)
	Auto BiSection. More...

void	CIPrepares (const string &key="")
	Prepare for the Contours and Integrates calls .so will be generated, for more detailed exported function, check below. More...

void	Contours (const string &key="", const string &pkey="")
	Contours, note that here we need to provide the specific Parameter. More...

void	Integrates (const string &key="", const string &pkey="", int kid=0)
	Contours, note that here we need to provide the specific Parameter. More...

void	ReIntegrates (const string &key, const string &pkey, qREAL err)
	Contours, note that here we need to provide the specific Parameter. More...

void	Evaluate (FeynmanParameter fpi, const string &key="")

void	Evaluate (XIntegrand xint, const string &key="")

void	Evaluate (const exvector &FunExp, const string &key="")

void	MB ()
	MB. More...

void	XEnd ()

void	ChengWu (const ex &ft=0)
	ChengWu for SecDec class. More...

ex	VEResult ()

void	VEPrint (bool endlQ=true)

	~SecDec ()

Static Public Member Functions
static bool	VerifySD (vector< exmap > vmap, bool quick=true)

static ex	XRefined (ex const &ft)

static lst	XRefined_lst (ex const &ft)

static ex	PrefactorFIESTA (int nLoop)

static ex	PExpand (ex xpol, bool delta=true)
	PExpand from asy2.1.1.m. More...

static int	PRank (matrix m)
	PRank from FIESTA. More...

static ex	ContinuousWRA (ex expr_in, int nc=15)
	ContinuousWRA, note that here we need to provide the specific Parameter. More...

Public Attributes
lst	eps_lst = { lst{eps,0}, lst{ep,0} }

int	vsN = 0

int	PoleRequested = -5

bool	vs_before_ep = false

bool	use_XMonomials = true

bool	disable_Contour = false

exmap	nReplacement

exvector	FunExp

exvector	Integrands

exvector	expResult

SecDecBase *	SecDec = NULL

IntegratorBase *	Integrator = NULL

MinimizeBase *	Minimizer = NULL

ex	ResultError

bool	IsZero = false

bool	CheckEnd = false

bool	use_ErrMin = false

bool	use_las = false

bool	save_las = false

int	IBF = 0

bool	use_Normalizes = true

bool	use_XReOrders = false

int	MPDigits = 0

lst	BisectionPoints = lst { ex(1)/13, ex(1)/19, ex(1)/29, ex(1)/59, ex(1)/41, ex(1)/37, ex(1)/43, ex(1)/53 }

map< int, numeric >	Parameter

bool	CTMaxF = true

dREAL	CTLaMax = 10

int	CTTryPTS = 3

int	CTSavePTS = 3

size_t	LambdaSplit = 5

qREAL	IntLaMax = 50

int	CTryM = 1

int	CTryL = 1

int	CTryR = 1

size_t	CTryI = 0

dREAL	CTryRRatio = 1.5

int	soLimit = 10000

qREAL	EpsAbs = 1E-4

int	ReIm = 3

Static Public Attributes
static bool	use_dlclose = true

static string	cpp = "g++ -w"

Detailed Description

SecDec the main class to use Sector Decompostion method.

Definition at line 413 of file SD.h.

Constructor & Destructor Documentation

◆ ~SecDec()

HepLib::SD::SecDec::~SecDec ( )

Definition at line 12 of file InitEval.cpp.

Member Function Documentation

◆ AutoEnd()

exvector HepLib::SD::SecDec::AutoEnd ( ex po_ex )

Auto BiSection.

Parameters

po_ex the list of {ps, ns}

Returns: a vector of {ps, ns} after BiSection

Definition at line 223 of file SecDec.cpp.

◆ BiSection()

void HepLib::SD::SecDec::BiSection	(	ex	xi,
		ex	x0
	)

Definition at line 1024 of file SecDec.cpp.

◆ ChengWu()

void HepLib::SD::SecDec::ChengWu ( const ex & ft = 0 )

ChengWu for SecDec class.

Definition at line 14 of file ChengWu.cpp.

◆ CIPrepares()

void HepLib::SD::SecDec::CIPrepares ( const string & key = "" )

Prepare for the Contours and Integrates calls .so will be generated, for more detailed exported function, check below.

Parameters

key	used to save intermidete result

Definition at line 17 of file CIPrepares.cpp.

◆ ContinuousWRA()

ex HepLib::SD::SecDec::ContinuousWRA	(	ex	expr_in,
		int	nc = `15`
	)

static

ContinuousWRA, note that here we need to provide the specific Parameter.

Parameters

expr_in	expression containing WRA
nc	similar to NRCLog, the number of try

Returns: result with WRA removed

Definition at line 18 of file Integrates.cpp.

◆ Contours()

void HepLib::SD::SecDec::Contours	(	const string &	key = `""`,
		const string &	pkey = `""`
	)

Contours, note that here we need to provide the specific Parameter.

Parameters

key	the to retrive data from CIPrepares call
pkey	secondary key, final key will "key-pkey" to store Contours data

Definition at line 17 of file Contours.cpp.

◆ EpsExpands()

void HepLib::SD::SecDec::EpsExpands ( )

Definition at line 1427 of file SecDec.cpp.

◆ Evaluate() [1/3]

void HepLib::SD::SecDec::Evaluate	(	const exvector &	FunExp,
		const string &	key = `""`
	)

Definition at line 551 of file InitEval.cpp.

◆ Evaluate() [2/3]

void HepLib::SD::SecDec::Evaluate	(	FeynmanParameter	fpi,
		const string &	key = `""`
	)

Definition at line 507 of file InitEval.cpp.

◆ Evaluate() [3/3]

void HepLib::SD::SecDec::Evaluate	(	XIntegrand	xint,
		const string &	key = `""`
	)

Definition at line 529 of file InitEval.cpp.

◆ Initialize() [1/2]

void HepLib::SD::SecDec::Initialize ( FeynmanParameter fpi )

Definition at line 28 of file InitEval.cpp.

◆ Initialize() [2/2]

void HepLib::SD::SecDec::Initialize ( XIntegrand xint )

Definition at line 483 of file InitEval.cpp.

◆ Integrates()

void HepLib::SD::SecDec::Integrates	(	const string &	key = `""`,
		const string &	pkey = `""`,
		int	kid = `0`
	)

Contours, note that here we need to provide the specific Parameter.

Parameters

key	the to retrive data from CIPrepares call
pkey	secondary key, final key will "key-pkey" to store Contours data
kid	only the kid-th will be evaluated and updated the original "key-pkey" data

Definition at line 113 of file Integrates.cpp.

◆ IsBad()

bool HepLib::SD::SecDec::IsBad	(	ex	f,
		vector< exmap >	vmap
	)

Check the x-END.

Parameters

f	the F-term
vmap	a list of x2y map

Returns: true for bad

Definition at line 174 of file SecDec.cpp.

◆ KillPowers()

void HepLib::SD::SecDec::KillPowers ( int bits = 1+2 )

Kill Powers will call KillPowerD or KillPower.

Parameters

bits	only for KillPower

Definition at line 433 of file KillPowers.cpp.

◆ MB()

void HepLib::SD::SecDec::MB ( )

MB.

Definition at line 401 of file AsyMB.cpp.

◆ Normalizes()

void HepLib::SD::SecDec::Normalizes ( )

Definition at line 715 of file SecDec.cpp.

◆ PExpand()

ex HepLib::SD::SecDec::PExpand	(	ex	xpol,
		bool	delta = `true`
	)

static

PExpand from asy2.1.1.m.

Parameters

xpol	polynomial
delta	has delta or not

Returns: PExpand result

Definition at line 39 of file AsyMB.cpp.

◆ PRank()

int HepLib::SD::SecDec::PRank ( matrix m )

static

PRank from FIESTA.

Parameters

m	input matrix

Returns: PRank for matrix

Definition at line 17 of file AsyMB.cpp.

◆ PrefactorFIESTA()

ex HepLib::SD::SecDec::PrefactorFIESTA ( int nLoop )

static

Definition at line 361 of file Helpers.cpp.

◆ ReIntegrates()

void HepLib::SD::SecDec::ReIntegrates	(	const string &	key,
		const string &	pkey,
		qREAL	err
	)

Contours, note that here we need to provide the specific Parameter.

Parameters

key	the to retrive data from CIPrepares call
pkey	secondary key, final key will "key-pkey" to store Contours data
err	only the item ( with error > err ) will be evaluated and updated the original "key-pkey" data

Definition at line 688 of file Integrates.cpp.

◆ RemoveDeltas()

void HepLib::SD::SecDec::RemoveDeltas ( )

Definition at line 930 of file SecDec.cpp.

◆ Scalelesses()

void HepLib::SD::SecDec::Scalelesses ( )

Definition at line 845 of file SecDec.cpp.

◆ SDPrepares()

void HepLib::SD::SecDec::SDPrepares ( )

Definition at line 1040 of file SecDec.cpp.

◆ VEPrint()

void HepLib::SD::SecDec::VEPrint ( bool endlQ = true )

Definition at line 229 of file Helpers.cpp.

◆ VEResult()

ex HepLib::SD::SecDec::VEResult ( )

Definition at line 225 of file Helpers.cpp.

◆ VerifySD()

bool HepLib::SD::SecDec::VerifySD	(	vector< exmap >	vmap,
		bool	quick = `true`
	)

static

Definition at line 123 of file SecDec.cpp.

◆ XEnd()

void HepLib::SD::SecDec::XEnd ( )

Definition at line 998 of file SecDec.cpp.

◆ XExpands()

void HepLib::SD::SecDec::XExpands ( )

Definition at line 801 of file SecDec.cpp.

◆ XRefined()

ex HepLib::SD::SecDec::XRefined ( ex const & ft )

static

Definition at line 369 of file Helpers.cpp.

◆ XRefined_lst()

lst HepLib::SD::SecDec::XRefined_lst ( ex const & ft )

static

Definition at line 392 of file Helpers.cpp.

◆ XReOrders()

void HepLib::SD::SecDec::XReOrders ( )

Definition at line 695 of file SecDec.cpp.

◆ XTogethers()

void HepLib::SD::SecDec::XTogethers ( )

Definition at line 760 of file SecDec.cpp.

Member Data Documentation

◆ BisectionPoints

lst HepLib::SD::SecDec::BisectionPoints = lst { ex(1)/13, ex(1)/19, ex(1)/29, ex(1)/59, ex(1)/41, ex(1)/37, ex(1)/43, ex(1)/53 }

Definition at line 442 of file SD.h.

◆ CheckEnd

bool HepLib::SD::SecDec::CheckEnd = false

Definition at line 434 of file SD.h.

◆ cpp

string HepLib::SD::SecDec::cpp = "g++ -w"

static

Definition at line 417 of file SD.h.

◆ CTLaMax

dREAL HepLib::SD::SecDec::CTLaMax = 10

Definition at line 448 of file SD.h.

◆ CTMaxF

bool HepLib::SD::SecDec::CTMaxF = true

Definition at line 447 of file SD.h.

◆ CTryI

size_t HepLib::SD::SecDec::CTryI = 0

Definition at line 457 of file SD.h.

◆ CTryL

int HepLib::SD::SecDec::CTryL = 1

Definition at line 455 of file SD.h.

◆ CTryM

int HepLib::SD::SecDec::CTryM = 1

Definition at line 454 of file SD.h.

◆ CTryR

int HepLib::SD::SecDec::CTryR = 1

Definition at line 456 of file SD.h.

◆ CTryRRatio

dREAL HepLib::SD::SecDec::CTryRRatio = 1.5

Definition at line 458 of file SD.h.

◆ CTSavePTS

int HepLib::SD::SecDec::CTSavePTS = 3

Definition at line 450 of file SD.h.

◆ CTTryPTS

int HepLib::SD::SecDec::CTTryPTS = 3

Definition at line 449 of file SD.h.

◆ disable_Contour

bool HepLib::SD::SecDec::disable_Contour = false

Definition at line 424 of file SD.h.

◆ eps_lst

lst HepLib::SD::SecDec::eps_lst = { lst{eps,0}, lst{ep,0} }

Definition at line 419 of file SD.h.

◆ EpsAbs

qREAL HepLib::SD::SecDec::EpsAbs = 1E-4

Definition at line 461 of file SD.h.

◆ expResult

exvector HepLib::SD::SecDec::expResult

Definition at line 428 of file SD.h.

◆ FunExp

exvector HepLib::SD::SecDec::FunExp

Definition at line 426 of file SD.h.

◆ IBF

int HepLib::SD::SecDec::IBF = 0

Definition at line 438 of file SD.h.

◆ Integrands

exvector HepLib::SD::SecDec::Integrands

Definition at line 427 of file SD.h.

◆ Integrator

IntegratorBase* HepLib::SD::SecDec::Integrator = NULL

Definition at line 430 of file SD.h.

◆ IntLaMax

qREAL HepLib::SD::SecDec::IntLaMax = 50

Definition at line 453 of file SD.h.

◆ IsZero

bool HepLib::SD::SecDec::IsZero = false

Definition at line 433 of file SD.h.

◆ LambdaSplit

size_t HepLib::SD::SecDec::LambdaSplit = 5

Definition at line 452 of file SD.h.

◆ Minimizer

MinimizeBase* HepLib::SD::SecDec::Minimizer = NULL

Definition at line 431 of file SD.h.

◆ MPDigits

int HepLib::SD::SecDec::MPDigits = 0

Definition at line 441 of file SD.h.

◆ nReplacement

exmap HepLib::SD::SecDec::nReplacement

Definition at line 425 of file SD.h.

◆ Parameter

map<int, numeric> HepLib::SD::SecDec::Parameter

Definition at line 444 of file SD.h.

◆ PoleRequested

int HepLib::SD::SecDec::PoleRequested = -5

Definition at line 421 of file SD.h.

◆ ReIm

int HepLib::SD::SecDec::ReIm = 3

Definition at line 462 of file SD.h.

◆ ResultError

ex HepLib::SD::SecDec::ResultError

Definition at line 432 of file SD.h.

◆ save_las

bool HepLib::SD::SecDec::save_las = false

Definition at line 437 of file SD.h.

◆ SecDec

SecDecBase* HepLib::SD::SecDec::SecDec = NULL

Definition at line 429 of file SD.h.

◆ soLimit

int HepLib::SD::SecDec::soLimit = 10000

Definition at line 459 of file SD.h.

◆ use_dlclose

bool HepLib::SD::SecDec::use_dlclose = true

static

Definition at line 416 of file SD.h.

◆ use_ErrMin

bool HepLib::SD::SecDec::use_ErrMin = false

Definition at line 435 of file SD.h.

◆ use_las

bool HepLib::SD::SecDec::use_las = false

Definition at line 436 of file SD.h.

◆ use_Normalizes

bool HepLib::SD::SecDec::use_Normalizes = true

Definition at line 439 of file SD.h.

◆ use_XMonomials

bool HepLib::SD::SecDec::use_XMonomials = true

Definition at line 423 of file SD.h.

◆ use_XReOrders

bool HepLib::SD::SecDec::use_XReOrders = false

Definition at line 440 of file SD.h.

◆ vs_before_ep

bool HepLib::SD::SecDec::vs_before_ep = false

Definition at line 422 of file SD.h.

◆ vsN

int HepLib::SD::SecDec::vsN = 0

Definition at line 420 of file SD.h.

The documentation for this class was generated from the following files:

/home/runner/work/HepLib/HepLib/SD/SD.h
/home/runner/work/HepLib/HepLib/SD/AsyMB.cpp
/home/runner/work/HepLib/HepLib/SD/ChengWu.cpp
/home/runner/work/HepLib/HepLib/SD/CIPrepares.cpp
/home/runner/work/HepLib/HepLib/SD/Contours.cpp
/home/runner/work/HepLib/HepLib/SD/Helpers.cpp
/home/runner/work/HepLib/HepLib/SD/InitEval.cpp
/home/runner/work/HepLib/HepLib/SD/Integrates.cpp
/home/runner/work/HepLib/HepLib/SD/KillPowers.cpp
/home/runner/work/HepLib/HepLib/SD/SecDec.cpp
/home/runner/work/HepLib/HepLib/INC/Init.cpp

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ ~SecDec()

Member Function Documentation

◆ AutoEnd()

◆ BiSection()

◆ ChengWu()

◆ CIPrepares()

◆ ContinuousWRA()

◆ Contours()

◆ EpsExpands()

◆ Evaluate() [1/3]

◆ Evaluate() [2/3]

◆ Evaluate() [3/3]

◆ Initialize() [1/2]

◆ Initialize() [2/2]

◆ Integrates()

◆ IsBad()

◆ KillPowers()

◆ MB()

◆ Normalizes()

◆ PExpand()

◆ PRank()

◆ PrefactorFIESTA()

◆ ReIntegrates()

◆ RemoveDeltas()

◆ Scalelesses()

◆ SDPrepares()

◆ VEPrint()

◆ VEResult()

◆ VerifySD()

◆ XEnd()

◆ XExpands()

◆ XRefined()

◆ XRefined_lst()

◆ XReOrders()

◆ XTogethers()

Member Data Documentation

◆ BisectionPoints

◆ CheckEnd

◆ cpp

◆ CTLaMax

◆ CTMaxF

◆ CTryI

◆ CTryL

◆ CTryM

◆ CTryR

◆ CTryRRatio

◆ CTSavePTS

◆ CTTryPTS

◆ disable_Contour

◆ eps_lst

◆ EpsAbs

◆ expResult

◆ FunExp

◆ IBF

◆ Integrands

◆ Integrator

◆ IntLaMax

◆ IsZero

◆ LambdaSplit

◆ Minimizer

◆ MPDigits

◆ nReplacement

◆ Parameter

◆ PoleRequested

◆ ReIm

◆ ResultError

◆ save_las

◆ SecDec

◆ soLimit

◆ use_dlclose

◆ use_ErrMin

◆ use_las

◆ use_Normalizes

◆ use_XMonomials