QuantLib: a free/open-source library for quantitative finance
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Public Member Functions | Public Attributes | Static Private Attributes | List of all members
ErrorFunction Class Reference

Error function More...

#include <ql/math/errorfunction.hpp>

+ Collaboration diagram for ErrorFunction:

Public Member Functions

 ErrorFunction ()=default
 
Real operator() (Real x) const
 

Public Attributes

QL_DEPRECATED typedef Real argument_type
 
QL_DEPRECATED typedef Real result_type
 

Static Private Attributes

static const Real tiny = QL_EPSILON
 
static const Real one = 1.00000000000000000000e+00
 
static const Real erx = 8.45062911510467529297e-01
 
static const Real efx = 1.28379167095512586316e-01
 
static const Real efx8 = 1.02703333676410069053e+00
 
static const Real pp0 = 1.28379167095512558561e-01
 
static const Real pp1 = -3.25042107247001499370e-01
 
static const Real pp2 = -2.84817495755985104766e-02
 
static const Real pp3 = -5.77027029648944159157e-03
 
static const Real pp4 = -2.37630166566501626084e-05
 
static const Real qq1 = 3.97917223959155352819e-01
 
static const Real qq2 = 6.50222499887672944485e-02
 
static const Real qq3 = 5.08130628187576562776e-03
 
static const Real qq4 = 1.32494738004321644526e-04
 
static const Real qq5 = -3.96022827877536812320e-06
 
static const Real pa0 = -2.36211856075265944077e-03
 
static const Real pa1 = 4.14856118683748331666e-01
 
static const Real pa2 = -3.72207876035701323847e-01
 
static const Real pa3 = 3.18346619901161753674e-01
 
static const Real pa4 = -1.10894694282396677476e-01
 
static const Real pa5 = 3.54783043256182359371e-02
 
static const Real pa6 = -2.16637559486879084300e-03
 
static const Real qa1 = 1.06420880400844228286e-01
 
static const Real qa2 = 5.40397917702171048937e-01
 
static const Real qa3 = 7.18286544141962662868e-02
 
static const Real qa4 = 1.26171219808761642112e-01
 
static const Real qa5 = 1.36370839120290507362e-02
 
static const Real qa6 = 1.19844998467991074170e-02
 
static const Real ra0 = -9.86494403484714822705e-03
 
static const Real ra1 = -6.93858572707181764372e-01
 
static const Real ra2 = -1.05586262253232909814e+01
 
static const Real ra3 = -6.23753324503260060396e+01
 
static const Real ra4 = -1.62396669462573470355e+02
 
static const Real ra5 = -1.84605092906711035994e+02
 
static const Real ra6 = -8.12874355063065934246e+01
 
static const Real ra7 = -9.81432934416914548592e+00
 
static const Real sa1 = 1.96512716674392571292e+01
 
static const Real sa2 = 1.37657754143519042600e+02
 
static const Real sa3 = 4.34565877475229228821e+02
 
static const Real sa4 = 6.45387271733267880336e+02
 
static const Real sa5 = 4.29008140027567833386e+02
 
static const Real sa6 = 1.08635005541779435134e+02
 
static const Real sa7 = 6.57024977031928170135e+00
 
static const Real sa8 = -6.04244152148580987438e-02
 
static const Real rb0 = -9.86494292470009928597e-03
 
static const Real rb1 = -7.99283237680523006574e-01
 
static const Real rb2 = -1.77579549177547519889e+01
 
static const Real rb3 = -1.60636384855821916062e+02
 
static const Real rb4 = -6.37566443368389627722e+02
 
static const Real rb5 = -1.02509513161107724954e+03
 
static const Real rb6 = -4.83519191608651397019e+02
 
static const Real sb1 = 3.03380607434824582924e+01
 
static const Real sb2 = 3.25792512996573918826e+02
 
static const Real sb3 = 1.53672958608443695994e+03
 
static const Real sb4 = 3.19985821950859553908e+03
 
static const Real sb5 = 2.55305040643316442583e+03
 
static const Real sb6 = 4.74528541206955367215e+02
 
static const Real sb7 = -2.24409524465858183362e+01
 

Detailed Description

Error function

formula here ... Used to calculate the cumulative normal distribution function

Definition at line 36 of file errorfunction.hpp.

Constructor & Destructor Documentation

◆ ErrorFunction()

ErrorFunction ( )
default

Member Function Documentation

◆ operator()()

Real operator() ( Real  x) const

Definition at line 196 of file errorfunction.cpp.

Member Data Documentation

◆ argument_type

QL_DEPRECATED typedef Real argument_type
Deprecated:
Use auto or decltype instead. Deprecated in version 1.29.

Definition at line 42 of file errorfunction.hpp.

◆ result_type

QL_DEPRECATED typedef Real result_type
Deprecated:
Use auto or decltype instead. Deprecated in version 1.29.

Definition at line 48 of file errorfunction.hpp.

◆ tiny

const Real tiny = QL_EPSILON
staticprivate

Definition at line 54 of file errorfunction.hpp.

◆ one

const Real one = 1.00000000000000000000e+00
staticprivate

Definition at line 54 of file errorfunction.hpp.

◆ erx

const Real erx = 8.45062911510467529297e-01
staticprivate

Definition at line 54 of file errorfunction.hpp.

◆ efx

const Real efx = 1.28379167095512586316e-01
staticprivate

Definition at line 54 of file errorfunction.hpp.

◆ efx8

const Real efx8 = 1.02703333676410069053e+00
staticprivate

Definition at line 54 of file errorfunction.hpp.

◆ pp0

const Real pp0 = 1.28379167095512558561e-01
staticprivate

Definition at line 55 of file errorfunction.hpp.

◆ pp1

const Real pp1 = -3.25042107247001499370e-01
staticprivate

Definition at line 55 of file errorfunction.hpp.

◆ pp2

const Real pp2 = -2.84817495755985104766e-02
staticprivate

Definition at line 55 of file errorfunction.hpp.

◆ pp3

const Real pp3 = -5.77027029648944159157e-03
staticprivate

Definition at line 55 of file errorfunction.hpp.

◆ pp4

const Real pp4 = -2.37630166566501626084e-05
staticprivate

Definition at line 55 of file errorfunction.hpp.

◆ qq1

const Real qq1 = 3.97917223959155352819e-01
staticprivate

Definition at line 56 of file errorfunction.hpp.

◆ qq2

const Real qq2 = 6.50222499887672944485e-02
staticprivate

Definition at line 56 of file errorfunction.hpp.

◆ qq3

const Real qq3 = 5.08130628187576562776e-03
staticprivate

Definition at line 56 of file errorfunction.hpp.

◆ qq4

const Real qq4 = 1.32494738004321644526e-04
staticprivate

Definition at line 56 of file errorfunction.hpp.

◆ qq5

const Real qq5 = -3.96022827877536812320e-06
staticprivate

Definition at line 56 of file errorfunction.hpp.

◆ pa0

const Real pa0 = -2.36211856075265944077e-03
staticprivate

Definition at line 57 of file errorfunction.hpp.

◆ pa1

const Real pa1 = 4.14856118683748331666e-01
staticprivate

Definition at line 57 of file errorfunction.hpp.

◆ pa2

const Real pa2 = -3.72207876035701323847e-01
staticprivate

Definition at line 57 of file errorfunction.hpp.

◆ pa3

const Real pa3 = 3.18346619901161753674e-01
staticprivate

Definition at line 57 of file errorfunction.hpp.

◆ pa4

const Real pa4 = -1.10894694282396677476e-01
staticprivate

Definition at line 57 of file errorfunction.hpp.

◆ pa5

const Real pa5 = 3.54783043256182359371e-02
staticprivate

Definition at line 57 of file errorfunction.hpp.

◆ pa6

const Real pa6 = -2.16637559486879084300e-03
staticprivate

Definition at line 57 of file errorfunction.hpp.

◆ qa1

const Real qa1 = 1.06420880400844228286e-01
staticprivate

Definition at line 58 of file errorfunction.hpp.

◆ qa2

const Real qa2 = 5.40397917702171048937e-01
staticprivate

Definition at line 58 of file errorfunction.hpp.

◆ qa3

const Real qa3 = 7.18286544141962662868e-02
staticprivate

Definition at line 58 of file errorfunction.hpp.

◆ qa4

const Real qa4 = 1.26171219808761642112e-01
staticprivate

Definition at line 58 of file errorfunction.hpp.

◆ qa5

const Real qa5 = 1.36370839120290507362e-02
staticprivate

Definition at line 58 of file errorfunction.hpp.

◆ qa6

const Real qa6 = 1.19844998467991074170e-02
staticprivate

Definition at line 58 of file errorfunction.hpp.

◆ ra0

const Real ra0 = -9.86494403484714822705e-03
staticprivate

Definition at line 59 of file errorfunction.hpp.

◆ ra1

const Real ra1 = -6.93858572707181764372e-01
staticprivate

Definition at line 59 of file errorfunction.hpp.

◆ ra2

const Real ra2 = -1.05586262253232909814e+01
staticprivate

Definition at line 59 of file errorfunction.hpp.

◆ ra3

const Real ra3 = -6.23753324503260060396e+01
staticprivate

Definition at line 59 of file errorfunction.hpp.

◆ ra4

const Real ra4 = -1.62396669462573470355e+02
staticprivate

Definition at line 59 of file errorfunction.hpp.

◆ ra5

const Real ra5 = -1.84605092906711035994e+02
staticprivate

Definition at line 59 of file errorfunction.hpp.

◆ ra6

const Real ra6 = -8.12874355063065934246e+01
staticprivate

Definition at line 59 of file errorfunction.hpp.

◆ ra7

const Real ra7 = -9.81432934416914548592e+00
staticprivate

Definition at line 59 of file errorfunction.hpp.

◆ sa1

const Real sa1 = 1.96512716674392571292e+01
staticprivate

Definition at line 60 of file errorfunction.hpp.

◆ sa2

const Real sa2 = 1.37657754143519042600e+02
staticprivate

Definition at line 60 of file errorfunction.hpp.

◆ sa3

const Real sa3 = 4.34565877475229228821e+02
staticprivate

Definition at line 60 of file errorfunction.hpp.

◆ sa4

const Real sa4 = 6.45387271733267880336e+02
staticprivate

Definition at line 60 of file errorfunction.hpp.

◆ sa5

const Real sa5 = 4.29008140027567833386e+02
staticprivate

Definition at line 60 of file errorfunction.hpp.

◆ sa6

const Real sa6 = 1.08635005541779435134e+02
staticprivate

Definition at line 60 of file errorfunction.hpp.

◆ sa7

const Real sa7 = 6.57024977031928170135e+00
staticprivate

Definition at line 60 of file errorfunction.hpp.

◆ sa8

const Real sa8 = -6.04244152148580987438e-02
staticprivate

Definition at line 60 of file errorfunction.hpp.

◆ rb0

const Real rb0 = -9.86494292470009928597e-03
staticprivate

Definition at line 61 of file errorfunction.hpp.

◆ rb1

const Real rb1 = -7.99283237680523006574e-01
staticprivate

Definition at line 61 of file errorfunction.hpp.

◆ rb2

const Real rb2 = -1.77579549177547519889e+01
staticprivate

Definition at line 61 of file errorfunction.hpp.

◆ rb3

const Real rb3 = -1.60636384855821916062e+02
staticprivate

Definition at line 61 of file errorfunction.hpp.

◆ rb4

const Real rb4 = -6.37566443368389627722e+02
staticprivate

Definition at line 61 of file errorfunction.hpp.

◆ rb5

const Real rb5 = -1.02509513161107724954e+03
staticprivate

Definition at line 61 of file errorfunction.hpp.

◆ rb6

const Real rb6 = -4.83519191608651397019e+02
staticprivate

Definition at line 61 of file errorfunction.hpp.

◆ sb1

const Real sb1 = 3.03380607434824582924e+01
staticprivate

Definition at line 62 of file errorfunction.hpp.

◆ sb2

const Real sb2 = 3.25792512996573918826e+02
staticprivate

Definition at line 62 of file errorfunction.hpp.

◆ sb3

const Real sb3 = 1.53672958608443695994e+03
staticprivate

Definition at line 62 of file errorfunction.hpp.

◆ sb4

const Real sb4 = 3.19985821950859553908e+03
staticprivate

Definition at line 62 of file errorfunction.hpp.

◆ sb5

const Real sb5 = 2.55305040643316442583e+03
staticprivate

Definition at line 62 of file errorfunction.hpp.

◆ sb6

const Real sb6 = 4.74528541206955367215e+02
staticprivate

Definition at line 62 of file errorfunction.hpp.

◆ sb7

const Real sb7 = -2.24409524465858183362e+01
staticprivate

Definition at line 62 of file errorfunction.hpp.