Class FieldJacobiElliptic<T extends CalculusFieldElement<T>>
java.lang.Object
org.hipparchus.special.elliptic.jacobi.FieldJacobiElliptic<T>
- Type Parameters:
T
- the type of the field elements
Computation of Jacobi elliptic functions.
The Jacobi elliptic functions are related to elliptic integrals.
- Since:
- 2.0
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Constructor Summary
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Method Summary
Modifier and TypeMethodDescriptionarccd
(double x) Evaluate inverse of Jacobi elliptic function cd.Evaluate inverse of Jacobi elliptic function cd.arccn
(double x) Evaluate inverse of Jacobi elliptic function cn.Evaluate inverse of Jacobi elliptic function cn.arccs
(double x) Evaluate inverse of Jacobi elliptic function cs.Evaluate inverse of Jacobi elliptic function cs.arcdc
(double x) Evaluate inverse of Jacobi elliptic function dc.Evaluate inverse of Jacobi elliptic function dc.arcdn
(double x) Evaluate inverse of Jacobi elliptic function dn.Evaluate inverse of Jacobi elliptic function dn.arcds
(double x) Evaluate inverse of Jacobi elliptic function ds.Evaluate inverse of Jacobi elliptic function ds.arcnc
(double x) Evaluate inverse of Jacobi elliptic function nc.Evaluate inverse of Jacobi elliptic function nc.arcnd
(double x) Evaluate inverse of Jacobi elliptic function nd.Evaluate inverse of Jacobi elliptic function nd.arcns
(double x) Evaluate inverse of Jacobi elliptic function ns.Evaluate inverse of Jacobi elliptic function ns.arcsc
(double x) Evaluate inverse of Jacobi elliptic function sc.Evaluate inverse of Jacobi elliptic function sc.arcsd
(double x) Evaluate inverse of Jacobi elliptic function sd.Evaluate inverse of Jacobi elliptic function sd.arcsn
(double x) Evaluate inverse of Jacobi elliptic function sn.Evaluate inverse of Jacobi elliptic function sn.getM()
Get the parameter of the function.valuesC
(double u) Evaluate the three subsidiary Jacobi elliptic functions with pole at point c in Glaisher’s Notation.Evaluate the three subsidiary Jacobi elliptic functions with pole at point c in Glaisher’s Notation.valuesD
(double u) Evaluate the three subsidiary Jacobi elliptic functions with pole at point d in Glaisher’s Notation.Evaluate the three subsidiary Jacobi elliptic functions with pole at point d in Glaisher’s Notation.valuesN
(double u) Evaluate the three principal Jacobi elliptic functions with pole at point n in Glaisher’s Notation.abstract FieldCopolarN<T>
Evaluate the three principal Jacobi elliptic functions with pole at point n in Glaisher’s Notation.valuesS
(double u) Evaluate the three subsidiary Jacobi elliptic functions with pole at point s in Glaisher’s Notation.Evaluate the three subsidiary Jacobi elliptic functions with pole at point s in Glaisher’s Notation.
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Constructor Details
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FieldJacobiElliptic
Simple constructor.- Parameters:
m
- parameter of the function
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Method Details
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getM
Get the parameter of the function.- Returns:
- parameter of the function
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valuesN
Evaluate the three principal Jacobi elliptic functions with pole at point n in Glaisher’s Notation.- Parameters:
u
- argument of the functions- Returns:
- copolar trio containing the three principal Jacobi
elliptic functions
sn(u|m)
,cn(u|m)
, anddn(u|m)
.
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valuesN
Evaluate the three principal Jacobi elliptic functions with pole at point n in Glaisher’s Notation.- Parameters:
u
- argument of the functions- Returns:
- copolar trio containing the three principal Jacobi
elliptic functions
sn(u|m)
,cn(u|m)
, anddn(u|m)
.
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valuesS
Evaluate the three subsidiary Jacobi elliptic functions with pole at point s in Glaisher’s Notation.- Parameters:
u
- argument of the functions- Returns:
- copolar trio containing the three subsidiary Jacobi
elliptic functions
cs(u|m)
,ds(u|m)
andns(u|m)
.
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valuesS
Evaluate the three subsidiary Jacobi elliptic functions with pole at point s in Glaisher’s Notation.- Parameters:
u
- argument of the functions- Returns:
- copolar trio containing the three subsidiary Jacobi
elliptic functions
cs(u|m)
,ds(u|m)
andns(u|m)
.
-
valuesC
Evaluate the three subsidiary Jacobi elliptic functions with pole at point c in Glaisher’s Notation.- Parameters:
u
- argument of the functions- Returns:
- copolar trio containing the three subsidiary Jacobi
elliptic functions
dc(u|m)
,nc(u|m)
, andsc(u|m)
.
-
valuesC
Evaluate the three subsidiary Jacobi elliptic functions with pole at point c in Glaisher’s Notation.- Parameters:
u
- argument of the functions- Returns:
- copolar trio containing the three subsidiary Jacobi
elliptic functions
dc(u|m)
,nc(u|m)
, andsc(u|m)
.
-
valuesD
Evaluate the three subsidiary Jacobi elliptic functions with pole at point d in Glaisher’s Notation.- Parameters:
u
- argument of the functions- Returns:
- copolar trio containing the three subsidiary Jacobi
elliptic functions
nd(u|m)
,sd(u|m)
, andcd(u|m)
.
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valuesD
Evaluate the three subsidiary Jacobi elliptic functions with pole at point d in Glaisher’s Notation.- Parameters:
u
- argument of the functions- Returns:
- copolar trio containing the three subsidiary Jacobi
elliptic functions
nd(u|m)
,sd(u|m)
, andcd(u|m)
.
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arcsn
Evaluate inverse of Jacobi elliptic function sn.- Parameters:
x
- value of Jacobi elliptic functionsn(u|m)
- Returns:
- u such that
x=sn(u|m)
- Since:
- 2.1
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arcsn
Evaluate inverse of Jacobi elliptic function sn.- Parameters:
x
- value of Jacobi elliptic functionsn(u|m)
- Returns:
- u such that
x=sn(u|m)
- Since:
- 2.1
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arccn
Evaluate inverse of Jacobi elliptic function cn.- Parameters:
x
- value of Jacobi elliptic functioncn(u|m)
- Returns:
- u such that
x=cn(u|m)
- Since:
- 2.1
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arccn
Evaluate inverse of Jacobi elliptic function cn.- Parameters:
x
- value of Jacobi elliptic functioncn(u|m)
- Returns:
- u such that
x=cn(u|m)
- Since:
- 2.1
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arcdn
Evaluate inverse of Jacobi elliptic function dn.- Parameters:
x
- value of Jacobi elliptic functiondn(u|m)
- Returns:
- u such that
x=dn(u|m)
- Since:
- 2.1
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arcdn
Evaluate inverse of Jacobi elliptic function dn.- Parameters:
x
- value of Jacobi elliptic functiondn(u|m)
- Returns:
- u such that
x=dn(u|m)
- Since:
- 2.1
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arccs
Evaluate inverse of Jacobi elliptic function cs.- Parameters:
x
- value of Jacobi elliptic functioncs(u|m)
- Returns:
- u such that
x=cs(u|m)
- Since:
- 2.1
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arccs
Evaluate inverse of Jacobi elliptic function cs.- Parameters:
x
- value of Jacobi elliptic functioncs(u|m)
- Returns:
- u such that
x=cs(u|m)
- Since:
- 2.1
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arcds
Evaluate inverse of Jacobi elliptic function ds.- Parameters:
x
- value of Jacobi elliptic functionds(u|m)
- Returns:
- u such that
x=ds(u|m)
- Since:
- 2.1
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arcds
Evaluate inverse of Jacobi elliptic function ds.- Parameters:
x
- value of Jacobi elliptic functionds(u|m)
- Returns:
- u such that
x=ds(u|m)
- Since:
- 2.1
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arcns
Evaluate inverse of Jacobi elliptic function ns.- Parameters:
x
- value of Jacobi elliptic functionns(u|m)
- Returns:
- u such that
x=ns(u|m)
- Since:
- 2.1
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arcns
Evaluate inverse of Jacobi elliptic function ns.- Parameters:
x
- value of Jacobi elliptic functionns(u|m)
- Returns:
- u such that
x=ns(u|m)
- Since:
- 2.1
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arcdc
Evaluate inverse of Jacobi elliptic function dc.- Parameters:
x
- value of Jacobi elliptic functiondc(u|m)
- Returns:
- u such that
x=dc(u|m)
- Since:
- 2.1
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arcdc
Evaluate inverse of Jacobi elliptic function dc.- Parameters:
x
- value of Jacobi elliptic functiondc(u|m)
- Returns:
- u such that
x=dc(u|m)
- Since:
- 2.1
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arcnc
Evaluate inverse of Jacobi elliptic function nc.- Parameters:
x
- value of Jacobi elliptic functionnc(u|m)
- Returns:
- u such that
x=nc(u|m)
- Since:
- 2.1
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arcnc
Evaluate inverse of Jacobi elliptic function nc.- Parameters:
x
- value of Jacobi elliptic functionnc(u|m)
- Returns:
- u such that
x=nc(u|m)
- Since:
- 2.1
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arcsc
Evaluate inverse of Jacobi elliptic function sc.- Parameters:
x
- value of Jacobi elliptic functionsc(u|m)
- Returns:
- u such that
x=sc(u|m)
- Since:
- 2.1
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arcsc
Evaluate inverse of Jacobi elliptic function sc.- Parameters:
x
- value of Jacobi elliptic functionsc(u|m)
- Returns:
- u such that
x=sc(u|m)
- Since:
- 2.1
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arcnd
Evaluate inverse of Jacobi elliptic function nd.- Parameters:
x
- value of Jacobi elliptic functionnd(u|m)
- Returns:
- u such that
x=nd(u|m)
- Since:
- 2.1
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arcnd
Evaluate inverse of Jacobi elliptic function nd.- Parameters:
x
- value of Jacobi elliptic functionnd(u|m)
- Returns:
- u such that
x=nd(u|m)
- Since:
- 2.1
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arcsd
Evaluate inverse of Jacobi elliptic function sd.- Parameters:
x
- value of Jacobi elliptic functionsd(u|m)
- Returns:
- u such that
x=sd(u|m)
- Since:
- 2.1
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arcsd
Evaluate inverse of Jacobi elliptic function sd.- Parameters:
x
- value of Jacobi elliptic functionsd(u|m)
- Returns:
- u such that
x=sd(u|m)
- Since:
- 2.1
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arccd
Evaluate inverse of Jacobi elliptic function cd.- Parameters:
x
- value of Jacobi elliptic functioncd(u|m)
- Returns:
- u such that
x=cd(u|m)
- Since:
- 2.1
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arccd
Evaluate inverse of Jacobi elliptic function cd.- Parameters:
x
- value of Jacobi elliptic functioncd(u|m)
- Returns:
- u such that
x=cd(u|m)
- Since:
- 2.1
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