T
- the type of the field elementsFieldElement<T>
, RealFieldElement<FieldTuple<T>>
public class FieldTuple<T extends RealFieldElement<T>> extends Object implements RealFieldElement<FieldTuple<T>>
Constructor | Description |
---|---|
FieldTuple(T... x) |
Creates a new instance from its components.
|
Modifier and Type | Method | Description |
---|---|---|
FieldTuple<T> |
abs() |
absolute value.
|
FieldTuple<T> |
acos() |
Arc cosine operation.
|
FieldTuple<T> |
acosh() |
Inverse hyperbolic cosine operation.
|
FieldTuple<T> |
add(double a) |
'+' operator.
|
FieldTuple<T> |
add(FieldTuple<T> a) |
Compute this + a.
|
FieldTuple<T> |
asin() |
Arc sine operation.
|
FieldTuple<T> |
asinh() |
Inverse hyperbolic sine operation.
|
FieldTuple<T> |
atan() |
Arc tangent operation.
|
FieldTuple<T> |
atan2(FieldTuple<T> x) |
Two arguments arc tangent operation.
|
FieldTuple<T> |
atanh() |
Inverse hyperbolic tangent operation.
|
FieldTuple<T> |
cbrt() |
Cubic root.
|
FieldTuple<T> |
ceil() |
Get the smallest whole number larger than instance.
|
FieldTuple<T> |
copySign(double sign) |
Returns the instance with the sign of the argument.
|
FieldTuple<T> |
copySign(FieldTuple<T> sign) |
Returns the instance with the sign of the argument.
|
FieldTuple<T> |
cos() |
Cosine operation.
|
FieldTuple<T> |
cosh() |
Hyperbolic cosine operation.
|
FieldTuple<T> |
divide(double a) |
'÷' operator.
|
FieldTuple<T> |
divide(FieldTuple<T> a) |
Compute this ÷ a.
|
boolean |
equals(Object obj) |
|
FieldTuple<T> |
exp() |
Exponential.
|
FieldTuple<T> |
expm1() |
Exponential minus 1.
|
FieldTuple<T> |
floor() |
Get the largest whole number smaller than instance.
|
T |
getComponent(int index) |
Get one component of the tuple.
|
T[] |
getComponents() |
Get all components of the tuple.
|
int |
getDimension() |
Get the dimension of the tuple.
|
Field<FieldTuple<T>> |
getField() |
Get the
Field to which the instance belongs. |
double |
getReal() |
Get the real value of the number.
|
int |
hashCode() |
|
FieldTuple<T> |
hypot(FieldTuple<T> y) |
Returns the hypotenuse of a triangle with sides
this and y
- sqrt(this2 +y2)
avoiding intermediate overflow or underflow. |
FieldTuple<T> |
linearCombination(double[] a,
FieldTuple<T>[] b) |
Compute a linear combination.
|
FieldTuple<T> |
linearCombination(double a1,
FieldTuple<T> b1,
double a2,
FieldTuple<T> b2) |
Compute a linear combination.
|
FieldTuple<T> |
linearCombination(double a1,
FieldTuple<T> b1,
double a2,
FieldTuple<T> b2,
double a3,
FieldTuple<T> b3) |
Compute a linear combination.
|
FieldTuple<T> |
linearCombination(double a1,
FieldTuple<T> b1,
double a2,
FieldTuple<T> b2,
double a3,
FieldTuple<T> b3,
double a4,
FieldTuple<T> b4) |
Compute a linear combination.
|
FieldTuple<T> |
linearCombination(FieldTuple<T>[] a,
FieldTuple<T>[] b) |
Compute a linear combination.
|
FieldTuple<T> |
linearCombination(FieldTuple<T> a1,
FieldTuple<T> b1,
FieldTuple<T> a2,
FieldTuple<T> b2) |
Compute a linear combination.
|
FieldTuple<T> |
linearCombination(FieldTuple<T> a1,
FieldTuple<T> b1,
FieldTuple<T> a2,
FieldTuple<T> b2,
FieldTuple<T> a3,
FieldTuple<T> b3) |
Compute a linear combination.
|
FieldTuple<T> |
linearCombination(FieldTuple<T> a1,
FieldTuple<T> b1,
FieldTuple<T> a2,
FieldTuple<T> b2,
FieldTuple<T> a3,
FieldTuple<T> b3,
FieldTuple<T> a4,
FieldTuple<T> b4) |
Compute a linear combination.
|
FieldTuple<T> |
log() |
Natural logarithm.
|
FieldTuple<T> |
log10() |
Base 10 logarithm.
|
FieldTuple<T> |
log1p() |
Shifted natural logarithm.
|
FieldTuple<T> |
multiply(double a) |
'×' operator.
|
FieldTuple<T> |
multiply(int n) |
Compute n × this.
|
FieldTuple<T> |
multiply(FieldTuple<T> a) |
Compute this × a.
|
FieldTuple<T> |
negate() |
Returns the additive inverse of
this element. |
FieldTuple<T> |
pow(double p) |
Power operation.
|
FieldTuple<T> |
pow(int n) |
Integer power operation.
|
FieldTuple<T> |
pow(FieldTuple<T> e) |
Power operation.
|
FieldTuple<T> |
reciprocal() |
Returns the multiplicative inverse of
this element. |
FieldTuple<T> |
remainder(double a) |
IEEE remainder operator.
|
FieldTuple<T> |
remainder(FieldTuple<T> a) |
IEEE remainder operator.
|
FieldTuple<T> |
rint() |
Get the whole number that is the nearest to the instance, or the even one if x is exactly half way between two integers.
|
FieldTuple<T> |
rootN(int n) |
Nth root.
|
long |
round() |
Get the closest long to instance value.
|
FieldTuple<T> |
scalb(int n) |
Multiply the instance by a power of 2.
|
FieldTuple<T> |
signum() |
Compute the signum of the instance.
|
FieldTuple<T> |
sin() |
Sine operation.
|
FieldTuple<T> |
sinh() |
Hyperbolic sine operation.
|
FieldTuple<T> |
sqrt() |
Square root.
|
FieldTuple<T> |
subtract(double a) |
'-' operator.
|
FieldTuple<T> |
subtract(FieldTuple<T> a) |
Compute this - a.
|
FieldTuple<T> |
tan() |
Tangent operation.
|
FieldTuple<T> |
tanh() |
Hyperbolic tangent operation.
|
@SafeVarargs public FieldTuple(T... x)
x
- components of the tuplepublic int getDimension()
public T getComponent(int index)
index
- index of the component, between 0 and getDimension()
- 1public T[] getComponents()
public Field<FieldTuple<T>> getField()
Field
to which the instance belongs.getField
in interface FieldElement<T extends RealFieldElement<T>>
Field
to which the instance belongspublic FieldTuple<T> add(FieldTuple<T> a)
add
in interface FieldElement<T extends RealFieldElement<T>>
a
- element to addpublic FieldTuple<T> subtract(FieldTuple<T> a)
subtract
in interface FieldElement<T extends RealFieldElement<T>>
a
- element to subtractpublic FieldTuple<T> negate()
this
element.negate
in interface FieldElement<T extends RealFieldElement<T>>
this
.public FieldTuple<T> multiply(FieldTuple<T> a)
multiply
in interface FieldElement<T extends RealFieldElement<T>>
a
- element to multiplypublic FieldTuple<T> multiply(int n)
multiply
in interface FieldElement<T extends RealFieldElement<T>>
n
- Number of times this
must be added to itself.public FieldTuple<T> divide(FieldTuple<T> a)
divide
in interface FieldElement<T extends RealFieldElement<T>>
a
- element to divide bypublic FieldTuple<T> reciprocal()
this
element.reciprocal
in interface FieldElement<T extends RealFieldElement<T>>
reciprocal
in interface RealFieldElement<T extends RealFieldElement<T>>
this
.public double getReal()
getReal
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> add(double a)
add
in interface RealFieldElement<T extends RealFieldElement<T>>
a
- right hand side parameter of the operatorpublic FieldTuple<T> subtract(double a)
subtract
in interface RealFieldElement<T extends RealFieldElement<T>>
a
- right hand side parameter of the operatorpublic FieldTuple<T> multiply(double a)
multiply
in interface RealFieldElement<T extends RealFieldElement<T>>
a
- right hand side parameter of the operatorpublic FieldTuple<T> divide(double a)
divide
in interface RealFieldElement<T extends RealFieldElement<T>>
a
- right hand side parameter of the operatorpublic FieldTuple<T> remainder(double a)
remainder
in interface RealFieldElement<T extends RealFieldElement<T>>
a
- right hand side parameter of the operatorpublic FieldTuple<T> remainder(FieldTuple<T> a)
remainder
in interface RealFieldElement<T extends RealFieldElement<T>>
a
- right hand side parameter of the operatorpublic FieldTuple<T> abs()
abs
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> ceil()
ceil
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> floor()
floor
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> rint()
rint
in interface RealFieldElement<T extends RealFieldElement<T>>
public long round()
round
in interface RealFieldElement<T extends RealFieldElement<T>>
RealFieldElement.getReal()
public FieldTuple<T> signum()
signum
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> copySign(FieldTuple<T> sign)
sign
argument is treated as positive.copySign
in interface RealFieldElement<T extends RealFieldElement<T>>
sign
- the sign for the returned valuesign
argumentpublic FieldTuple<T> copySign(double sign)
sign
argument is treated as positive.copySign
in interface RealFieldElement<T extends RealFieldElement<T>>
sign
- the sign for the returned valuesign
argumentpublic FieldTuple<T> scalb(int n)
scalb
in interface RealFieldElement<T extends RealFieldElement<T>>
n
- power of 2public FieldTuple<T> hypot(FieldTuple<T> y)
this
and y
- sqrt(this2 +y2)
avoiding intermediate overflow or underflow.
hypot
in interface RealFieldElement<T extends RealFieldElement<T>>
y
- a valuepublic FieldTuple<T> sqrt()
sqrt
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> cbrt()
cbrt
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> rootN(int n)
rootN
in interface RealFieldElement<T extends RealFieldElement<T>>
n
- order of the rootpublic FieldTuple<T> pow(double p)
pow
in interface RealFieldElement<T extends RealFieldElement<T>>
p
- power to applypublic FieldTuple<T> pow(int n)
pow
in interface RealFieldElement<T extends RealFieldElement<T>>
n
- power to applypublic FieldTuple<T> pow(FieldTuple<T> e)
pow
in interface RealFieldElement<T extends RealFieldElement<T>>
e
- exponentpublic FieldTuple<T> exp()
exp
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> expm1()
expm1
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> log()
log
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> log1p()
log1p
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> log10()
log10
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> cos()
cos
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> sin()
sin
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> tan()
tan
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> acos()
acos
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> asin()
asin
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> atan()
atan
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> atan2(FieldTuple<T> x)
atan2
in interface RealFieldElement<T extends RealFieldElement<T>>
x
- second argument of the arc tangentpublic FieldTuple<T> cosh()
cosh
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> sinh()
sinh
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> tanh()
tanh
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> acosh()
acosh
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> asinh()
asinh
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> atanh()
atanh
in interface RealFieldElement<T extends RealFieldElement<T>>
public FieldTuple<T> linearCombination(FieldTuple<T>[] a, FieldTuple<T>[] b) throws MathIllegalArgumentException
linearCombination
in interface RealFieldElement<T extends RealFieldElement<T>>
a
- Factors.b
- Factors.Σi ai bi
.MathIllegalArgumentException
- if arrays dimensions don't matchpublic FieldTuple<T> linearCombination(double[] a, FieldTuple<T>[] b) throws MathIllegalArgumentException
linearCombination
in interface RealFieldElement<T extends RealFieldElement<T>>
a
- Factors.b
- Factors.Σi ai bi
.MathIllegalArgumentException
- if arrays dimensions don't matchpublic FieldTuple<T> linearCombination(FieldTuple<T> a1, FieldTuple<T> b1, FieldTuple<T> a2, FieldTuple<T> b2)
linearCombination
in interface RealFieldElement<T extends RealFieldElement<T>>
a1
- first factor of the first termb1
- second factor of the first terma2
- first factor of the second termb2
- second factor of the second termRealFieldElement.linearCombination(Object, Object, Object, Object, Object, Object)
,
RealFieldElement.linearCombination(Object, Object, Object, Object, Object, Object, Object, Object)
public FieldTuple<T> linearCombination(double a1, FieldTuple<T> b1, double a2, FieldTuple<T> b2)
linearCombination
in interface RealFieldElement<T extends RealFieldElement<T>>
a1
- first factor of the first termb1
- second factor of the first terma2
- first factor of the second termb2
- second factor of the second termRealFieldElement.linearCombination(double, Object, double, Object, double, Object)
,
RealFieldElement.linearCombination(double, Object, double, Object, double, Object, double, Object)
public FieldTuple<T> linearCombination(FieldTuple<T> a1, FieldTuple<T> b1, FieldTuple<T> a2, FieldTuple<T> b2, FieldTuple<T> a3, FieldTuple<T> b3)
linearCombination
in interface RealFieldElement<T extends RealFieldElement<T>>
a1
- first factor of the first termb1
- second factor of the first terma2
- first factor of the second termb2
- second factor of the second terma3
- first factor of the third termb3
- second factor of the third termRealFieldElement.linearCombination(Object, Object, Object, Object)
,
RealFieldElement.linearCombination(Object, Object, Object, Object, Object, Object, Object, Object)
public FieldTuple<T> linearCombination(double a1, FieldTuple<T> b1, double a2, FieldTuple<T> b2, double a3, FieldTuple<T> b3)
linearCombination
in interface RealFieldElement<T extends RealFieldElement<T>>
a1
- first factor of the first termb1
- second factor of the first terma2
- first factor of the second termb2
- second factor of the second terma3
- first factor of the third termb3
- second factor of the third termRealFieldElement.linearCombination(double, Object, double, Object)
,
RealFieldElement.linearCombination(double, Object, double, Object, double, Object, double, Object)
public FieldTuple<T> linearCombination(FieldTuple<T> a1, FieldTuple<T> b1, FieldTuple<T> a2, FieldTuple<T> b2, FieldTuple<T> a3, FieldTuple<T> b3, FieldTuple<T> a4, FieldTuple<T> b4)
linearCombination
in interface RealFieldElement<T extends RealFieldElement<T>>
a1
- first factor of the first termb1
- second factor of the first terma2
- first factor of the second termb2
- second factor of the second terma3
- first factor of the third termb3
- second factor of the third terma4
- first factor of the fourth termb4
- second factor of the fourth termRealFieldElement.linearCombination(Object, Object, Object, Object)
,
RealFieldElement.linearCombination(Object, Object, Object, Object, Object, Object)
public FieldTuple<T> linearCombination(double a1, FieldTuple<T> b1, double a2, FieldTuple<T> b2, double a3, FieldTuple<T> b3, double a4, FieldTuple<T> b4)
linearCombination
in interface RealFieldElement<T extends RealFieldElement<T>>
a1
- first factor of the first termb1
- second factor of the first terma2
- first factor of the second termb2
- second factor of the second terma3
- first factor of the third termb3
- second factor of the third terma4
- first factor of the fourth termb4
- second factor of the fourth termRealFieldElement.linearCombination(double, Object, double, Object)
,
RealFieldElement.linearCombination(double, Object, double, Object, double, Object)
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