java.lang.Object

org.hipparchus.util.Tuple

All Implemented Interfaces:: CalculusFieldElement<Tuple>, FieldElement<Tuple>

public class Tuple extends Object implements CalculusFieldElement<Tuple>

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

Since:: 1.2

Constructor Summary

Constructors

Constructor

Description

Tuple(double... x)

Creates a new instance from its components.
Method Summary

Modifier and Type

Method

Description

Tuple

abs()

absolute value.

Tuple

acos()

Arc cosine operation.

Tuple

acosh()

Inverse hyperbolic cosine operation.

Tuple

add(double a)

'+' operator.

Tuple

add(Tuple a)

Compute this + a.

Tuple

asin()

Arc sine operation.

Tuple

asinh()

Inverse hyperbolic sine operation.

Tuple

atan()

Arc tangent operation.

Tuple

atan2(Tuple x)

Two arguments arc tangent operation.

Tuple

atanh()

Inverse hyperbolic tangent operation.

Tuple

cbrt()

Cubic root.

Tuple

ceil()

Get the smallest whole number larger than instance.

Tuple

copySign(double sign)

Returns the instance with the sign of the argument.

Tuple

copySign(Tuple sign)

Returns the instance with the sign of the argument.

Tuple

cos()

Cosine operation.

Tuple

cosh()

Hyperbolic cosine operation.

Tuple

divide(double a)

'÷' operator.

Tuple

divide(Tuple a)

Compute this ÷ a.

boolean

equals(Object obj)

Tuple

exp()

Exponential.

Tuple

expm1()

Exponential minus 1.

Tuple

floor()

Get the largest whole number smaller than instance.

double

getComponent(int index)

Get one component of the tuple.

double[]

getComponents()

Get all components of the tuple.

int

getDimension()

Get the dimension of the tuple.

Field<Tuple>

getField()

Get the Field to which the instance belongs.

Tuple

getPi()

Get the Archimedes constant π.

double

getReal()

Get the real value of the number.

int

hashCode()

Tuple

hypot(Tuple y)

Returns the hypotenuse of a triangle with sides this and y - sqrt(this² +y²) avoiding intermediate overflow or underflow.

Tuple

linearCombination(double[] a, Tuple[] b)

Compute a linear combination.

Tuple

linearCombination(double a1, Tuple b1, double a2, Tuple b2)

Compute a linear combination.

Tuple

linearCombination(double a1, Tuple b1, double a2, Tuple b2, double a3, Tuple b3)

Compute a linear combination.

Tuple

linearCombination(double a1, Tuple b1, double a2, Tuple b2, double a3, Tuple b3, double a4, Tuple b4)

Compute a linear combination.

Tuple

linearCombination(Tuple[] a, Tuple[] b)

Compute a linear combination.

Tuple

linearCombination(Tuple a1, Tuple b1, Tuple a2, Tuple b2)

Compute a linear combination.

Tuple

linearCombination(Tuple a1, Tuple b1, Tuple a2, Tuple b2, Tuple a3, Tuple b3)

Compute a linear combination.

Tuple

linearCombination(Tuple a1, Tuple b1, Tuple a2, Tuple b2, Tuple a3, Tuple b3, Tuple a4, Tuple b4)

Compute a linear combination.

Tuple

log()

Natural logarithm.

Tuple

log10()

Base 10 logarithm.

Tuple

log1p()

Shifted natural logarithm.

Tuple

multiply(double a)

'×' operator.

Tuple

multiply(int n)

Compute n × this.

Tuple

multiply(Tuple a)

Compute this × a.

Tuple

negate()

Returns the additive inverse of this element.

Tuple

newInstance(double value)

Create an instance corresponding to a constant real value.

Tuple

pow(double p)

Power operation.

Tuple

pow(int n)

Integer power operation.

Tuple

pow(Tuple e)

Power operation.

Tuple

reciprocal()

Returns the multiplicative inverse of this element.

Tuple

remainder(double a)

IEEE remainder operator.

Tuple

remainder(Tuple a)

IEEE remainder operator.

Tuple

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.

Tuple

rootN(int n)

N^th root.

Tuple

scalb(int n)

Multiply the instance by a power of 2.

Tuple

sign()

Compute the sign of the instance.

Tuple

sin()

Sine operation.

FieldSinCos<Tuple>

sinCos()

Combined Sine and Cosine operation.

Tuple

sinh()

Hyperbolic sine operation.

FieldSinhCosh<Tuple>

sinhCosh()

Combined hyperbolic sine and cosine operation.

Tuple

sqrt()

Square root.

Tuple

square()

Compute this × this.

Tuple

subtract(double a)

'-' operator.

Tuple

subtract(Tuple a)

Compute this - a.

Tuple

tan()

Tangent operation.

Tuple

tanh()

Hyperbolic tangent operation.

Tuple

toDegrees()

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

Tuple

toRadians()

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

Tuple

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 Details
- Tuple
  
  public Tuple(double... x)
  
  Creates a new instance from its components.
  
  Parameters:
  
  x - components of the tuple
Method Details
- newInstance
  
  public Tuple newInstance(double value)
  
  Create an instance corresponding to a constant real value.
  
  Specified by:
  
  newInstance in interface CalculusFieldElement<Tuple>
  
  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 double 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 double[] getComponents()
  
  Get all components of the tuple.
  
  Returns:
  
  all components
- getField
  
  public Field<Tuple> getField()
  
  Get the Field to which the instance belongs.
  
  Specified by:
  
  getField in interface FieldElement<Tuple>
  
  Returns:
  
  Field to which the instance belongs
- add
  
  public Tuple add(Tuple a)
  
  Compute this + a.
  
  Specified by:
  
  add in interface FieldElement<Tuple>
  
  Parameters:
  
  a - element to add
  
  Returns:
  
  a new element representing this + a
- subtract
  
  public Tuple subtract(Tuple a)
  
  Compute this - a.
  
  Specified by:
  
  subtract in interface CalculusFieldElement<Tuple>
  
  Specified by:
  
  subtract in interface FieldElement<Tuple>
  
  Parameters:
  
  a - element to subtract
  
  Returns:
  
  a new element representing this - a
- negate
  
  public Tuple negate()
  
  Returns the additive inverse of this element.
  
  Specified by:
  
  negate in interface FieldElement<Tuple>
  
  Returns:
  
  the opposite of this.
- multiply
  
  public Tuple multiply(Tuple a)
  
  Compute this × a.
  
  Specified by:
  
  multiply in interface FieldElement<Tuple>
  
  Parameters:
  
  a - element to multiply
  
  Returns:
  
  a new element representing this × a
- multiply
  
  public Tuple 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 CalculusFieldElement<Tuple>
  
  Specified by:
  
  multiply in interface FieldElement<Tuple>
  
  Parameters:
  
  n - Number of times this must be added to itself.
  
  Returns:
  
  A new element representing n × this.
- square
  
  public Tuple square()
  
  Compute this × this.
  
  Specified by:
  
  square in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  a new element representing this × this
- divide
  
  public Tuple divide(Tuple a)
  
  Compute this ÷ a.
  
  Specified by:
  
  divide in interface CalculusFieldElement<Tuple>
  
  Specified by:
  
  divide in interface FieldElement<Tuple>
  
  Parameters:
  
  a - element to divide by
  
  Returns:
  
  a new element representing this ÷ a
- reciprocal
  
  public Tuple reciprocal()
  
  Returns the multiplicative inverse of this element.
  
  Specified by:
  
  reciprocal in interface FieldElement<Tuple>
  
  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<Tuple>
  
  Returns:
  
  real value
- add
  
  public Tuple add(double a)
  
  '+' operator.
  
  Specified by:
  
  add in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  a - right hand side parameter of the operator
  
  Returns:
  
  this+a
- subtract
  
  public Tuple subtract(double a)
  
  '-' operator.
  
  Specified by:
  
  subtract in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  a - right hand side parameter of the operator
  
  Returns:
  
  this-a
- multiply
  
  public Tuple multiply(double a)
  
  '×' operator.
  
  Specified by:
  
  multiply in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  a - right hand side parameter of the operator
  
  Returns:
  
  this×a
- divide
  
  public Tuple divide(double a)
  
  '÷' operator.
  
  Specified by:
  
  divide in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  a - right hand side parameter of the operator
  
  Returns:
  
  this÷a
- remainder
  
  public Tuple remainder(double a)
  
  IEEE remainder operator.
  
  Specified by:
  
  remainder in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  a - right hand side parameter of the operator
  
  Returns:
  
  this - n × a where n is the closest integer to this/a
- remainder
  
  public Tuple remainder(Tuple a)
  
  IEEE remainder operator.
  
  Specified by:
  
  remainder in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  a - right hand side parameter of the operator
  
  Returns:
  
  this - n × a where n is the closest integer to this/a
- abs
  
  public Tuple abs()
  
  absolute value.
  
  Specified by:
  
  abs in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  abs(this)
- ceil
  
  public Tuple ceil()
  
  Get the smallest whole number larger than instance.
  
  Specified by:
  
  ceil in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  ceil(this)
- floor
  
  public Tuple floor()
  
  Get the largest whole number smaller than instance.
  
  Specified by:
  
  floor in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  floor(this)
- rint
  
  public Tuple 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<Tuple>
  
  Returns:
  
  a double number r such that r is an integer r - 0.5 ≤ this ≤ r + 0.5
- sign
  
  public Tuple 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<Tuple>
  
  Returns:
  
  -1.0, -0.0, +0.0, +1.0 or NaN depending on sign of a
- copySign
  
  public Tuple copySign(Tuple sign)
  
  Returns the instance with the sign of the argument. A NaN sign argument is treated as positive.
  
  Specified by:
  
  copySign in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  sign - the sign for the returned value
  
  Returns:
  
  the instance with the same sign as the sign argument
- copySign
  
  public Tuple 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<Tuple>
  
  Parameters:
  
  sign - the sign for the returned value
  
  Returns:
  
  the instance with the same sign as the sign argument
- scalb
  
  public Tuple scalb(int n)
  
  Multiply the instance by a power of 2.
  
  Specified by:
  
  scalb in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  n - power of 2
  
  Returns:
  
  this × 2ⁿ
- ulp
  
  public Tuple ulp()
  
  Compute least significant bit (Unit in Last Position) for a number.
  
  Specified by:
  
  ulp in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  ulp(this)
- hypot
  
  public Tuple hypot(Tuple 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<Tuple>
  
  Parameters:
  
  y - a value
  
  Returns:
  
  sqrt(this² +y²)
- sqrt
  
  public Tuple sqrt()
  
  Square root.
  
  Specified by:
  
  sqrt in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  square root of the instance
- cbrt
  
  public Tuple cbrt()
  
  Cubic root.
  
  Specified by:
  
  cbrt in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  cubic root of the instance
- rootN
  
  public Tuple rootN(int n)
  
  N^th root.
  
  Specified by:
  
  rootN in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  n - order of the root
  
  Returns:
  
  n^th root of the instance
- pow
  
  public Tuple pow(double p)
  
  Power operation.
  
  Specified by:
  
  pow in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  p - power to apply
  
  Returns:
  
  this^p
- pow
  
  public Tuple pow(int n)
  
  Integer power operation.
  
  Specified by:
  
  pow in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  n - power to apply
  
  Returns:
  
  thisⁿ
- pow
  
  public Tuple pow(Tuple e)
  
  Power operation.
  
  Specified by:
  
  pow in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  e - exponent
  
  Returns:
  
  this^e
- exp
  
  public Tuple exp()
  
  Exponential.
  
  Specified by:
  
  exp in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  exponential of the instance
- expm1
  
  public Tuple expm1()
  
  Exponential minus 1.
  
  Specified by:
  
  expm1 in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  exponential minus one of the instance
- log
  
  public Tuple log()
  
  Natural logarithm.
  
  Specified by:
  
  log in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  logarithm of the instance
- log1p
  
  public Tuple log1p()
  
  Shifted natural logarithm.
  
  Specified by:
  
  log1p in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  logarithm of one plus the instance
- log10
  
  public Tuple log10()
  
  Base 10 logarithm.
  
  Specified by:
  
  log10 in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  base 10 logarithm of the instance
- cos
  
  public Tuple cos()
  
  Cosine operation.
  
  Specified by:
  
  cos in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  cos(this)
- sin
  
  public Tuple sin()
  
  Sine operation.
  
  Specified by:
  
  sin in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  sin(this)
- sinCos
  
  public FieldSinCos<Tuple> sinCos()
  
  Combined Sine and Cosine operation.
  
  Specified by:
  
  sinCos in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  [sin(this), cos(this)]
- tan
  
  public Tuple tan()
  
  Tangent operation.
  
  Specified by:
  
  tan in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  tan(this)
- acos
  
  public Tuple acos()
  
  Arc cosine operation.
  
  Specified by:
  
  acos in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  acos(this)
- asin
  
  public Tuple asin()
  
  Arc sine operation.
  
  Specified by:
  
  asin in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  asin(this)
- atan
  
  public Tuple atan()
  
  Arc tangent operation.
  
  Specified by:
  
  atan in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  atan(this)
- atan2
  
  public Tuple atan2(Tuple 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<Tuple>
  
  Parameters:
  
  x - second argument of the arc tangent
  
  Returns:
  
  atan2(this, x)
- cosh
  
  public Tuple cosh()
  
  Hyperbolic cosine operation.
  
  Specified by:
  
  cosh in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  cosh(this)
- sinh
  
  public Tuple sinh()
  
  Hyperbolic sine operation.
  
  Specified by:
  
  sinh in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  sinh(this)
- sinhCosh
  
  public FieldSinhCosh<Tuple> sinhCosh()
  
  Combined hyperbolic sine and cosine operation.
  
  Specified by:
  
  sinhCosh in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  [sinh(this), cosh(this)]
- tanh
  
  public Tuple tanh()
  
  Hyperbolic tangent operation.
  
  Specified by:
  
  tanh in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  tanh(this)
- acosh
  
  public Tuple acosh()
  
  Inverse hyperbolic cosine operation.
  
  Specified by:
  
  acosh in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  acosh(this)
- asinh
  
  public Tuple asinh()
  
  Inverse hyperbolic sine operation.
  
  Specified by:
  
  asinh in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  asin(this)
- atanh
  
  public Tuple atanh()
  
  Inverse hyperbolic tangent operation.
  
  Specified by:
  
  atanh in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  atanh(this)
- toDegrees
  
  public Tuple toDegrees()
  
  Convert radians to degrees, with error of less than 0.5 ULP
  
  Specified by:
  
  toDegrees in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  instance converted into degrees
- toRadians
  
  public Tuple toRadians()
  
  Convert degrees to radians, with error of less than 0.5 ULP
  
  Specified by:
  
  toRadians in interface CalculusFieldElement<Tuple>
  
  Returns:
  
  instance converted into radians
- linearCombination
  
  public Tuple linearCombination(Tuple[] a, Tuple[] b) throws MathIllegalArgumentException
  
  Compute a linear combination.
  
  Specified by:
  
  linearCombination in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  a - Factors.
  
  b - Factors.
  
  Returns:
  
  Σ_i a_i b_i.
  
  Throws:
  
  MathIllegalArgumentException - if arrays dimensions don't match
- linearCombination
  
  public Tuple linearCombination(double[] a, Tuple[] b) throws MathIllegalArgumentException
  
  Compute a linear combination.
  
  Specified by:
  
  linearCombination in interface CalculusFieldElement<Tuple>
  
  Parameters:
  
  a - Factors.
  
  b - Factors.
  
  Returns:
  
  Σ_i a_i b_i.
  
  Throws:
  
  MathIllegalArgumentException - if arrays dimensions don't match
- linearCombination
  
  public Tuple linearCombination(Tuple a1, Tuple b1, Tuple a2, Tuple b2)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<Tuple>
  
  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 Tuple linearCombination(double a1, Tuple b1, double a2, Tuple b2)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<Tuple>
  
  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 Tuple linearCombination(Tuple a1, Tuple b1, Tuple a2, Tuple b2, Tuple a3, Tuple b3)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<Tuple>
  
  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 Tuple linearCombination(double a1, Tuple b1, double a2, Tuple b2, double a3, Tuple b3)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<Tuple>
  
  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 Tuple linearCombination(Tuple a1, Tuple b1, Tuple a2, Tuple b2, Tuple a3, Tuple b3, Tuple a4, Tuple b4)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<Tuple>
  
  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 Tuple linearCombination(double a1, Tuple b1, double a2, Tuple b2, double a3, Tuple b3, double a4, Tuple b4)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<Tuple>
  
  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 Tuple 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<Tuple>
  
  Returns:
  
  Archimedes constant π

Class Tuple

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Methods inherited from interface org.hipparchus.CalculusFieldElement

Methods inherited from interface org.hipparchus.FieldElement

Constructor Details

Tuple

Method Details

newInstance

getDimension

getComponent

getComponents

getField

add

subtract

negate

multiply

multiply

square

divide

reciprocal

equals

hashCode

getReal

add

subtract

multiply

divide

remainder

remainder

abs

ceil

floor

rint

sign

copySign

copySign

scalb

ulp

hypot

sqrt

cbrt

rootN

pow

pow

pow

exp

expm1

log

log1p

log10

cos

sin

sinCos

tan

acos

asin

atan

atan2

cosh

sinh

sinhCosh

tanh

acosh

asinh

atanh

toDegrees

toRadians

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

getPi