FieldTuple (Hipparchus 1.7 API)

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>>, RealFieldElement<FieldTuple<T>>
```
public class FieldTuple<T extends RealFieldElement<T>>
extends Object
implements RealFieldElement<FieldTuple<T>>
```
This class allows to perform the same computation of all components of a Tuple at once.

Since:

1.2

Field Summary
- Fields inherited from interface org.hipparchus.CalculusFieldElement
  DEG_TO_RAD, RAD_TO_DEG

Constructor Summary

Constructors
Constructor and Description

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

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

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and 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(FieldTuple<T> a)` Compute this × a.
`FieldTuple<T>`	`multiply(int n)` Compute n × this.
`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(FieldTuple<T> e)` Power operation.
`FieldTuple<T>`	`pow(int n)` Integer 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)` N^th root.
`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.
`FieldSinCos<FieldTuple<T>>`	`sinCos()` Combined Sine and Cosine 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.
`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

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.hipparchus.RealFieldElement
round

Methods inherited from interface org.hipparchus.CalculusFieldElement
getExponent, isInfinite, isNaN

- 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.
    The default implementation creates the instance by adding the value to getField().getZero(). This is not optimal and does not work when called with a negative zero as the sign of zero is lost with the addition. The default implementation should therefore be overridden in concrete classes. The default implementation will be removed at the next major version.
    
    Specified by:
    
    newInstance in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    the opposite of this.
  - multiply
```
public FieldTuple<T> multiply(FieldTuple<T> a)
```
    Compute this × a.
    
    Specified by:
    
    multiply in interface FieldElement<FieldTuple<T extends RealFieldElement<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 × this = ∑_i=1ⁿ this.
    
    Specified by:
    
    multiply in interface FieldElement<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<T>>>
    
    Specified by:
    
    reciprocal in interface FieldElement<FieldTuple<T extends RealFieldElement<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 CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    real value
  - add
```
public FieldTuple<T> add(double a)
```
    '+' operator.
    
    Specified by:
    
    add in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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.
    
    Specified by:
    
    abs in interface RealFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    abs(this)
  - ceil
```
public FieldTuple<T> ceil()
```
    Get the smallest whole number larger than instance.
    
    Specified by:
    
    ceil in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    ceil(this)
  - floor
```
public FieldTuple<T> floor()
```
    Get the largest whole number smaller than instance.
    
    Specified by:
    
    floor in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    a double number r such that r is an integer r - 0.5 ≤ this ≤ r + 0.5
  - signum
```
public FieldTuple<T> signum()
```
    Compute the signum of the instance. The signum is -1 for negative numbers, +1 for positive numbers and 0 otherwise
    
    Specified by:
    
    signum in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<T>>>
    
    Parameters:
    
    n - power of 2
    
    Returns:
    
    this × 2ⁿ
  - 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<FieldTuple<T extends RealFieldElement<T>>>
    
    Parameters:
    
    y - a value
    
    Returns:
    
    sqrt(this² +y²)
  - sqrt
```
public FieldTuple<T> sqrt()
```
    Square root.
    
    Specified by:
    
    sqrt in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    square root of the instance
  - cbrt
```
public FieldTuple<T> cbrt()
```
    Cubic root.
    
    Specified by:
    
    cbrt in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    cubic root of the instance
  - rootN
```
public FieldTuple<T> rootN(int n)
```
    N^th root.
    
    Specified by:
    
    rootN in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<T>>>
    
    Parameters:
    
    n - power to apply
    
    Returns:
    
    thisⁿ
  - pow
```
public FieldTuple<T> pow(FieldTuple<T> e)
```
    Power operation.
    
    Specified by:
    
    pow in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Parameters:
    
    e - exponent
    
    Returns:
    
    this^e
  - exp
```
public FieldTuple<T> exp()
```
    Exponential.
    
    Specified by:
    
    exp in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    exponential of the instance
  - expm1
```
public FieldTuple<T> expm1()
```
    Exponential minus 1.
    
    Specified by:
    
    expm1 in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    exponential minus one of the instance
  - log
```
public FieldTuple<T> log()
```
    Natural logarithm.
    
    Specified by:
    
    log in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    logarithm of the instance
  - log1p
```
public FieldTuple<T> log1p()
```
    Shifted natural logarithm.
    
    Specified by:
    
    log1p in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    logarithm of one plus the instance
  - log10
```
public FieldTuple<T> log10()
```
    Base 10 logarithm.
    
    Specified by:
    
    log10 in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    base 10 logarithm of the instance
  - cos
```
public FieldTuple<T> cos()
```
    Cosine operation.
    
    Specified by:
    
    cos in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    cos(this)
  - sin
```
public FieldTuple<T> sin()
```
    Sine operation.
    
    Specified by:
    
    sin in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    sin(this)
  - sinCos
```
public FieldSinCos<FieldTuple<T>> sinCos()
```
    Combined Sine and Cosine operation.
    
    Specified by:
    
    sinCos in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    [sin(this), cos(this)]
  - tan
```
public FieldTuple<T> tan()
```
    Tangent operation.
    
    Specified by:
    
    tan in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    tan(this)
  - acos
```
public FieldTuple<T> acos()
```
    Arc cosine operation.
    
    Specified by:
    
    acos in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    acos(this)
  - asin
```
public FieldTuple<T> asin()
```
    Arc sine operation.
    
    Specified by:
    
    asin in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    asin(this)
  - atan
```
public FieldTuple<T> atan()
```
    Arc tangent operation.
    
    Specified by:
    
    atan in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    atan(this)
  - atan2
```
public FieldTuple<T> atan2(FieldTuple<T> x)
```
    Two arguments arc tangent operation.
    
    Specified by:
    
    atan2 in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    cosh(this)
  - sinh
```
public FieldTuple<T> sinh()
```
    Hyperbolic sine operation.
    
    Specified by:
    
    sinh in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    sinh(this)
  - tanh
```
public FieldTuple<T> tanh()
```
    Hyperbolic tangent operation.
    
    Specified by:
    
    tanh in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    tanh(this)
  - acosh
```
public FieldTuple<T> acosh()
```
    Inverse hyperbolic cosine operation.
    
    Specified by:
    
    acosh in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    acosh(this)
  - asinh
```
public FieldTuple<T> asinh()
```
    Inverse hyperbolic sine operation.
    
    Specified by:
    
    asinh in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<T>>>
    
    Returns:
    
    asin(this)
  - atanh
```
public FieldTuple<T> atanh()
```
    Inverse hyperbolic tangent operation.
    
    Specified by:
    
    atanh in interface CalculusFieldElement<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<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<FieldTuple<T extends RealFieldElement<T>>>
    
    Parameters:
    
    a - Factors.
    
    b - Factors.
    
    Returns:
    
    Σ_i a_i b_i.
    
    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<FieldTuple<T extends RealFieldElement<T>>>
    
    Parameters:
    
    a - Factors.
    
    b - Factors.
    
    Returns:
    
    Σ_i a_i b_i.
    
    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<FieldTuple<T extends RealFieldElement<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(Object, Object, Object, Object, Object, Object), CalculusFieldElement.linearCombination(Object, Object, Object, Object, Object, Object, Object, Object)
  - 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<FieldTuple<T extends RealFieldElement<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, Object, double, Object, double, Object), CalculusFieldElement.linearCombination(double, Object, double, Object, double, Object, double, Object)
  - 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<FieldTuple<T extends RealFieldElement<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(Object, Object, Object, Object), CalculusFieldElement.linearCombination(Object, Object, Object, Object, Object, Object, Object, Object)
  - 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<FieldTuple<T extends RealFieldElement<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, Object, double, Object), CalculusFieldElement.linearCombination(double, Object, double, Object, double, Object, double, Object)
  - 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<FieldTuple<T extends RealFieldElement<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(Object, Object, Object, Object), CalculusFieldElement.linearCombination(Object, Object, Object, Object, Object, Object)
  - 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<FieldTuple<T extends RealFieldElement<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, Object, double, Object), CalculusFieldElement.linearCombination(double, Object, double, Object, double, Object)

Class FieldTuple<T extends RealFieldElement<T>>

Field Summary

Fields inherited from interface org.hipparchus.CalculusFieldElement

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Methods inherited from interface org.hipparchus.RealFieldElement

Methods inherited from interface org.hipparchus.CalculusFieldElement

Constructor Detail

FieldTuple

Method Detail

newInstance

getDimension

getComponent

getComponents

getField

add

subtract

negate

multiply

multiply

divide

reciprocal

equals

hashCode

getReal

add

subtract

multiply

divide

remainder

remainder

abs

ceil

floor

rint

signum

copySign

copySign

scalb

hypot

sqrt

cbrt

rootN

pow

pow

pow

exp

expm1

log

log1p

log10

cos

sin

sinCos

tan

acos

asin

atan

atan2

cosh

sinh

tanh

acosh

asinh

atanh

toDegrees

toRadians

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination