Package org.hipparchus.util

Class FieldTuple<T extends CalculusFieldElement<T>>

java.lang.Object

org.hipparchus.util.FieldTuple<T>

Type Parameters:

T - the type of the field elements

All Implemented Interfaces:

CalculusFieldElement<FieldTuple<T>>, FieldElement<FieldTuple<T>>

public class FieldTuple<T extends CalculusFieldElement<T>>
extends Object
implements CalculusFieldElement<FieldTuple<T>>

This class allows to perform the same computation of all components of a Tuple at once.

Since:

1.2

Constructor Summary

Constructors

Constructor	Description
FieldTuple(T... x)	Creates a new instance from its components.

Method Summary

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.
FieldTuple<T>	getPi()	Get the Archimedes constant π.
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>	newInstance(double value)	Create an instance corresponding to a constant real value.
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.
FieldTuple<T>	scalb(int n)	Multiply the instance by a power of 2.
FieldTuple<T>	sign()	Compute the sign of the instance.
FieldTuple<T>	sin()	Sine operation.
FieldSinCos<FieldTuple<T>>	sinCos()	Combined Sine and Cosine operation.
FieldTuple<T>	sinh()	Hyperbolic sine operation.
FieldSinhCosh<FieldTuple<T>>	sinhCosh()	Combined hyperbolic sine and sosine 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.
FieldTuple<T>	toDegrees()	Convert radians to degrees, with error of less than 0.5 ULP
FieldTuple<T>	toRadians()	Convert degrees to radians, with error of less than 0.5 ULP
FieldTuple<T>	ulp()	Compute least significant bit (Unit in Last Position) for a number.

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.hipparchus.CalculusFieldElement

getExponent, isFinite, isInfinite, isNaN, norm, round

Methods inherited from interface org.hipparchus.FieldElement

isZero

Constructor Detail

FieldTuple

@SafeVarargs
public FieldTuple(T... x)

Creates a new instance from its components.

Parameters:

x - components of the tuple

Method Detail

newInstance

public FieldTuple<T> newInstance(double value)

Create an instance corresponding to a constant real value.

Specified by:

newInstance in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

value - constant real value

Returns:

instance corresponding to a constant real value

getDimension

public int getDimension()

Get the dimension of the tuple.

Returns:

dimension of the tuple

getComponent

public T getComponent(int index)

Get one component of the tuple.

Parameters:

index - index of the component, between 0 and getDimension() - 1

Returns:

value of the component

getComponents

public T[] getComponents()

Get all components of the tuple.

Returns:

all components

getField

public Field<FieldTuple<T>> getField()

Get the Field to which the instance belongs.

Specified by:

getField in interface FieldElement<T extends CalculusFieldElement<T>>

Returns:

Field to which the instance belongs

add

public FieldTuple<T> add(FieldTuple<T> a)

Compute this + a.

Specified by:

add in interface FieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - element to add

Returns:

a new element representing this + a

subtract

public FieldTuple<T> subtract(FieldTuple<T> a)

Compute this - a.

Specified by:

subtract in interface FieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - element to subtract

Returns:

a new element representing this - a

negate

public FieldTuple<T> negate()

Returns the additive inverse of this element.

Specified by:

negate in interface FieldElement<T extends CalculusFieldElement<T>>

Returns:

the opposite of this.

multiply

public FieldTuple<T> multiply(FieldTuple<T> a)

Compute this × a.

Specified by:

multiply in interface FieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - element to multiply

Returns:

a new element representing this × a

multiply

public FieldTuple<T> multiply(int n)

Compute n × this. Multiplication by an integer number is defined as the following sum \[ n \times \mathrm{this} = \sum_{i=1}^n \mathrm{this} \]

Specified by:

multiply in interface FieldElement<T extends CalculusFieldElement<T>>

Parameters:

n - Number of times this must be added to itself.

Returns:

A new element representing n × this.

divide

public FieldTuple<T> divide(FieldTuple<T> a)

Compute this ÷ a.

Specified by:

divide in interface FieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - element to divide by

Returns:

a new element representing this ÷ a

reciprocal

public FieldTuple<T> reciprocal()

Returns the multiplicative inverse of this element.

Specified by:

reciprocal in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Specified by:

reciprocal in interface FieldElement<T extends CalculusFieldElement<T>>

Returns:

the inverse of this.

equals

public boolean equals(Object obj)

Overrides:

equals in class Object

hashCode

public int hashCode()

Overrides:

hashCode in class Object

getReal

public double getReal()

Get the real value of the number.

Specified by:

getReal in interface FieldElement<T extends CalculusFieldElement<T>>

Returns:

real value

add

public FieldTuple<T> add(double a)

'+' operator.

Specified by:

add in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - right hand side parameter of the operator

Returns:

this+a

subtract

public FieldTuple<T> subtract(double a)

'-' operator.

Specified by:

subtract in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - right hand side parameter of the operator

Returns:

this-a

multiply

public FieldTuple<T> multiply(double a)

'×' operator.

Specified by:

multiply in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - right hand side parameter of the operator

Returns:

this×a

divide

public FieldTuple<T> divide(double a)

'÷' operator.

Specified by:

divide in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - right hand side parameter of the operator

Returns:

this÷a

remainder

public FieldTuple<T> remainder(double a)

IEEE remainder operator.

Specified by:

remainder in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - right hand side parameter of the operator

Returns:

this - n × a where n is the closest integer to this/a

remainder

public FieldTuple<T> remainder(FieldTuple<T> a)

IEEE remainder operator.

Specified by:

remainder in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - right hand side parameter of the operator

Returns:

this - n × a where n is the closest integer to this/a

abs

public FieldTuple<T> abs()

absolute value.

Just another name for CalculusFieldElement.norm()

Specified by:

abs in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

abs(this)

ceil

public FieldTuple<T> ceil()

Get the smallest whole number larger than instance.

Specified by:

ceil in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

ceil(this)

floor

public FieldTuple<T> floor()

Get the largest whole number smaller than instance.

Specified by:

floor in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

floor(this)

rint

public 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.

Specified by:

rint in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

a double number r such that r is an integer r - 0.5 ≤ this ≤ r + 0.5

sign

public FieldTuple<T> sign()

Compute the sign of the instance. The sign is -1 for negative numbers, +1 for positive numbers and 0 otherwise, for Complex number, it is extended on the unit circle (equivalent to z/|z|, with special handling for 0 and NaN)

Specified by:

sign in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

-1.0, -0.0, +0.0, +1.0 or NaN depending on sign of a

copySign

public FieldTuple<T> copySign(FieldTuple<T> sign)

Returns the instance with the sign of the argument. A NaN sign argument is treated as positive.

Specified by:

copySign in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

sign - the sign for the returned value

Returns:

the instance with the same sign as the sign argument

copySign

public FieldTuple<T> copySign(double sign)

Returns the instance with the sign of the argument. A NaN sign argument is treated as positive.

Specified by:

copySign in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

sign - the sign for the returned value

Returns:

the instance with the same sign as the sign argument

scalb

public FieldTuple<T> scalb(int n)

Multiply the instance by a power of 2.

Specified by:

scalb in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

n - power of 2

Returns:

this × 2ⁿ

ulp

public FieldTuple<T> ulp()

Compute least significant bit (Unit in Last Position) for a number.

Specified by:

ulp in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

ulp(this)

hypot

public 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.

• If either argument is infinite, then the result is positive infinity.
• else, if either argument is NaN then the result is NaN.

Specified by:

hypot in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

y - a value

Returns:

sqrt(this² +y²)

sqrt

public FieldTuple<T> sqrt()

Square root.

Specified by:

sqrt in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

square root of the instance

cbrt

public FieldTuple<T> cbrt()

Cubic root.

Specified by:

cbrt in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

cubic root of the instance

rootN

public FieldTuple<T> rootN(int n)

N^th root.

Specified by:

rootN in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

n - order of the root

Returns:

n^th root of the instance

pow

public FieldTuple<T> pow(double p)

Power operation.

Specified by:

pow in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

p - power to apply

Returns:

this^p

pow

public FieldTuple<T> pow(int n)

Integer power operation.

Specified by:

pow in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

n - power to apply

Returns:

thisⁿ

pow

public FieldTuple<T> pow(FieldTuple<T> e)

Power operation.

Specified by:

pow in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

e - exponent

Returns:

this^e

exp

public FieldTuple<T> exp()

Exponential.

Specified by:

exp in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

exponential of the instance

expm1

public FieldTuple<T> expm1()

Exponential minus 1.

Specified by:

expm1 in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

exponential minus one of the instance

log

public FieldTuple<T> log()

Natural logarithm.

Specified by:

log in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

logarithm of the instance

log1p

public FieldTuple<T> log1p()

Shifted natural logarithm.

Specified by:

log1p in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

logarithm of one plus the instance

log10

public FieldTuple<T> log10()

Base 10 logarithm.

Specified by:

log10 in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

base 10 logarithm of the instance

cos

public FieldTuple<T> cos()

Cosine operation.

Specified by:

cos in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

cos(this)

sin

public FieldTuple<T> sin()

Sine operation.

Specified by:

sin in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

sin(this)

sinCos

public FieldSinCos<FieldTuple<T>> sinCos()

Combined Sine and Cosine operation.

Specified by:

sinCos in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

[sin(this), cos(this)]

tan

public FieldTuple<T> tan()

Tangent operation.

Specified by:

tan in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

tan(this)

acos

public FieldTuple<T> acos()

Arc cosine operation.

Specified by:

acos in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

acos(this)

asin

public FieldTuple<T> asin()

Arc sine operation.

Specified by:

asin in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

asin(this)

atan

public FieldTuple<T> atan()

Arc tangent operation.

Specified by:

atan in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

atan(this)

atan2

public FieldTuple<T> atan2(FieldTuple<T> x)

Two arguments arc tangent operation.

Beware of the order or arguments! As this is based on a two-arguments functions, in order to be consistent with arguments order, the instance is the first argument and the single provided argument is the second argument. In order to be consistent with programming languages atan2, this method computes atan2(this, x), i.e. the instance represents the y argument and the x argument is the one passed as a single argument. This may seem confusing especially for users of Wolfram alpha, as this site is not consistent with programming languages atan2 two-arguments arc tangent and puts x as its first argument.

Specified by:

atan2 in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

x - second argument of the arc tangent

Returns:

atan2(this, x)

cosh

public FieldTuple<T> cosh()

Hyperbolic cosine operation.

Specified by:

cosh in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

cosh(this)

sinh

public FieldTuple<T> sinh()

Hyperbolic sine operation.

Specified by:

sinh in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

sinh(this)

sinhCosh

public FieldSinhCosh<FieldTuple<T>> sinhCosh()

Combined hyperbolic sine and sosine operation.

Specified by:

sinhCosh in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

[sinh(this), cosh(this)]

tanh

public FieldTuple<T> tanh()

Hyperbolic tangent operation.

Specified by:

tanh in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

tanh(this)

acosh

public FieldTuple<T> acosh()

Inverse hyperbolic cosine operation.

Specified by:

acosh in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

acosh(this)

asinh

public FieldTuple<T> asinh()

Inverse hyperbolic sine operation.

Specified by:

asinh in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

asin(this)

atanh

public FieldTuple<T> atanh()

Inverse hyperbolic tangent operation.

Specified by:

atanh in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

atanh(this)

toDegrees

public FieldTuple<T> toDegrees()

Convert radians to degrees, with error of less than 0.5 ULP

Specified by:

toDegrees in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

instance converted into degrees

toRadians

public FieldTuple<T> toRadians()

Convert degrees to radians, with error of less than 0.5 ULP

Specified by:

toRadians in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

instance converted into radians

linearCombination

public FieldTuple<T> linearCombination(FieldTuple<T>[] a,
                                       FieldTuple<T>[] b)
                                throws MathIllegalArgumentException

Compute a linear combination.

Specified by:

linearCombination in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - Factors.

b - Factors.

Returns:

Σi ai bi.

Throws:

MathIllegalArgumentException - if arrays dimensions don't match

linearCombination

public FieldTuple<T> linearCombination(double[] a,
                                       FieldTuple<T>[] b)
                                throws MathIllegalArgumentException

Compute a linear combination.

Specified by:

linearCombination in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a - Factors.

b - Factors.

Returns:

Σi ai bi.

Throws:

MathIllegalArgumentException - if arrays dimensions don't match

linearCombination

public FieldTuple<T> linearCombination(FieldTuple<T> a1,
                                       FieldTuple<T> b1,
                                       FieldTuple<T> a2,
                                       FieldTuple<T> b2)

Compute a linear combination.

Specified by:

linearCombination in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

Returns:

a₁×b₁ + a₂×b₂

See Also:

CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement), CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement)

linearCombination

public FieldTuple<T> linearCombination(double a1,
                                       FieldTuple<T> b1,
                                       double a2,
                                       FieldTuple<T> b2)

Compute a linear combination.

Specified by:

linearCombination in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

Returns:

a₁×b₁ + a₂×b₂

See Also:

CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement, double, FieldElement), CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement, double, FieldElement, double, FieldElement)

linearCombination

public 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.

Specified by:

linearCombination in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

a3 - first factor of the third term

b3 - second factor of the third term

Returns:

a₁×b₁ + a₂×b₂ + a₃×b₃

See Also:

CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement), CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement)

linearCombination

public FieldTuple<T> linearCombination(double a1,
                                       FieldTuple<T> b1,
                                       double a2,
                                       FieldTuple<T> b2,
                                       double a3,
                                       FieldTuple<T> b3)

Compute a linear combination.

Specified by:

linearCombination in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

a3 - first factor of the third term

b3 - second factor of the third term

Returns:

a₁×b₁ + a₂×b₂ + a₃×b₃

See Also:

CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement), CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement, double, FieldElement, double, FieldElement)

linearCombination

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)

Compute a linear combination.

Specified by:

linearCombination in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

a3 - first factor of the third term

b3 - second factor of the third term

a4 - first factor of the fourth term

b4 - second factor of the fourth term

Returns:

a₁×b₁ + a₂×b₂ + a₃×b₃ + a₄×b₄

See Also:

CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement), CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement)

linearCombination

public 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.

Specified by:

linearCombination in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Parameters:

a1 - first factor of the first term

b1 - second factor of the first term

a2 - first factor of the second term

b2 - second factor of the second term

a3 - first factor of the third term

b3 - second factor of the third term

a4 - first factor of the fourth term

b4 - second factor of the fourth term

Returns:

a₁×b₁ + a₂×b₂ + a₃×b₃ + a₄×b₄

See Also:

CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement), CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement, double, FieldElement)

getPi

public FieldTuple<T> getPi()

Get the Archimedes constant π.

Archimedes constant is the ratio of a circle's circumference to its diameter.

Specified by:

getPi in interface CalculusFieldElement<T extends CalculusFieldElement<T>>

Returns:

Archimedes constant π