java.lang.Object

org.ojalgo.scalar.Quadruple

All Implemented Interfaces:: Comparable<Quadruple>, Field<Scalar<Quadruple>>, Group, Group.Additive<Scalar<Quadruple>>, Group.Multiplicative<Scalar<Quadruple>>, NormedVectorSpace<Scalar<Quadruple>,Quadruple>, Operation, Operation.Addition<Scalar<Quadruple>>, Operation.Division<Scalar<Quadruple>>, Operation.Multiplication<Scalar<Quadruple>>, Operation.Subtraction<Scalar<Quadruple>>, Ring<Scalar<Quadruple>>, ScalarOperation, ScalarOperation.Addition<Scalar<Quadruple>,Quadruple>, ScalarOperation.Division<Scalar<Quadruple>,Quadruple>, ScalarOperation.Multiplication<Scalar<Quadruple>,Quadruple>, ScalarOperation.Subtraction<Scalar<Quadruple>,Quadruple>, VectorSpace<Scalar<Quadruple>,Quadruple>, Scalar<Quadruple>, AccessScalar<Quadruple>, Tensor<Quadruple,Scalar<Quadruple>>, NumberContext.Enforceable<Quadruple>, NumberDefinition

public class Quadruple extends Object

https://stackoverflow.com/questions/66962567/how-to-emulate-double-precision-using-two-floats-in-opengl-es

https://blog.cyclemap.link/2011-06-09-glsl-part2-emu/

https://www.researchgate.net/publication/228570156_Library_for_Double-Double_and_Quad-Double_Arithmetic

https://libntl.org

http://mrob.com/pub/math/f161.html

https://www.davidhbailey.com/dhbsoftware/

Author:: apete

Nested Class Summary

Nested classes/interfaces inherited from interface org.ojalgo.algebra.Group
Group.Additive<T>, Group.Multiplicative<T>

Nested classes/interfaces inherited from interface org.ojalgo.algebra.Operation
Operation.Addition<T>, Operation.Division<T>, Operation.Multiplication<T>, Operation.Subtraction<T>

Nested classes/interfaces inherited from interface org.ojalgo.scalar.Scalar
Scalar.Factory<N extends Comparable<N>>

Nested classes/interfaces inherited from interface org.ojalgo.algebra.ScalarOperation
ScalarOperation.Addition<T,N extends Comparable<N>>, ScalarOperation.Division<T,N extends Comparable<N>>, ScalarOperation.Multiplication<T,N extends Comparable<N>>, ScalarOperation.Subtraction<T,N extends Comparable<N>>
Field Summary

Fields

Modifier and Type

Field

Description

static Scalar.Factory<Quadruple>

FACTORY

static final Quadruple

MAX_VALUE

static final Quadruple

MIN_VALUE

static final Quadruple

NaN

static final Quadruple

NEG

static final Quadruple

NEGATIVE_INFINITY

static final Quadruple

ONE

static final Quadruple

POSITIVE_INFINITY

static final Quadruple

TWO

static final Quadruple

ZERO
Constructor Summary

Constructors

Constructor

Description

Quadruple()
Method Summary

Modifier and Type

Method

Description

Quadruple

add(double arg)

default Quadruple

add(float scalarAddend)

Quadruple

add(Quadruple arg)

int

compareTo(Quadruple reference)

Quadruple

conjugate()

This method will (most likely) be moved to some other interface in the future!

Quadruple

divide(double arg)

default Quadruple

divide(float scalarDivisor)

Quadruple

divide(Quadruple arg)

double

doubleValue()

Quadruple

enforce(NumberContext context)

boolean

equals(Object obj)

float

floatValue()

Quadruple

get()

int

hashCode()

int

intValue()

Quadruple

invert()

The multiplicative inverse.

boolean

isAbsolute()

static boolean

isAbsolute(Quadruple value)

static boolean

isInfinite(Quadruple value)

static boolean

isNaN(Quadruple value)

boolean

isSmall(double comparedTo)

static boolean

isSmall(double comparedTo, Quadruple value)

boolean

isZero()

Tests if this scalar value is exactly zero.

long

longValue()

Quadruple

multiply(double arg)

default Quadruple

multiply(float scalarMultiplicand)

Quadruple

multiply(Quadruple arg)

Quadruple

negate()

The additive inverse of this.

double

norm()

this == this.signum().multiply(this.norm())

static Quadruple

parse(CharSequence plainNumberString)

Quadruple

power(int power)

Multiply by itself power times.

Quadruple

signum()

this == this.signum().multiply(this.norm())

Quadruple

subtract(double arg)

default Quadruple

subtract(float scalarSubtrahend)

Quadruple

subtract(Quadruple arg)

BigDecimal

toBigDecimal()

String

toString()

String

toString(NumberContext context)

static Quadruple

valueOf(double value)

static Quadruple

valueOf(Comparable<?> number)

static Quadruple

valueOf(BigDecimal number)

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

Methods inherited from interface org.ojalgo.type.NumberDefinition
booleanValue, byteValue, shortValue

Methods inherited from interface org.ojalgo.scalar.Scalar
add, dimensions, divide, multiply, rank, subtract, toPlainString

Methods inherited from interface org.ojalgo.tensor.Tensor
components, isSameShape

Field Details
- FACTORY
  
  public static Scalar.Factory<Quadruple> FACTORY
- MAX_VALUE
  
  public static final Quadruple MAX_VALUE
- MIN_VALUE
  
  public static final Quadruple MIN_VALUE
- NaN
  
  public static final Quadruple NaN
- NEG
  
  public static final Quadruple NEG
- NEGATIVE_INFINITY
  
  public static final Quadruple NEGATIVE_INFINITY
- ONE
  
  public static final Quadruple ONE
- POSITIVE_INFINITY
  
  public static final Quadruple POSITIVE_INFINITY
- TWO
  
  public static final Quadruple TWO
- ZERO
  
  public static final Quadruple ZERO
Constructor Details
- Quadruple
  
  public Quadruple()
Method Details
- isAbsolute
  
  public static boolean isAbsolute(Quadruple value)
- isInfinite
  
  public static boolean isInfinite(Quadruple value)
- isNaN
  
  public static boolean isNaN(Quadruple value)
- isSmall
  
  public static boolean isSmall(double comparedTo, Quadruple value)
- parse
  
  public static Quadruple parse(CharSequence plainNumberString)
- valueOf
  
  public static Quadruple valueOf(BigDecimal number)
- valueOf
  
  public static Quadruple valueOf(Comparable<?> number)
- valueOf
  
  public static Quadruple valueOf(double value)
- add
  
  public Quadruple add(double arg)
  
  Specified by:
  
  add in interface ScalarOperation.Addition<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  this + scalarAddend.
- add
  
  public Quadruple add(Quadruple arg)
  
  Specified by:
  
  add in interface ScalarOperation.Addition<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  this + scalarAddend.
- compareTo
  
  public int compareTo(Quadruple reference)
  
  Specified by:
  
  compareTo in interface Comparable<Quadruple>
- conjugate
  
  public Quadruple conjugate()
  
  Description copied from interface: VectorSpace
  
  This method will (most likely) be moved to some other interface in the future! Just have to figure out where it fits...
  
  The conjugate transpose of a matrix and/or the conjugate of a scalar/field like ComplexNumber or Quaternion.
  
  The conjugate transpose of a real matrix is simply its transpose.
  
  Specified by:
  
  conjugate in interface VectorSpace<Scalar<Quadruple>,Quadruple>
- divide
  
  public Quadruple divide(double arg)
  
  Specified by:
  
  divide in interface ScalarOperation.Division<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  this / scalarDivisor.
- divide
  
  public Quadruple divide(Quadruple arg)
  
  Specified by:
  
  divide in interface ScalarOperation.Division<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  this / scalarDivisor.
- doubleValue
  
  public double doubleValue()
  
  Specified by:
  
  doubleValue in interface NumberDefinition
- enforce
  
  public Quadruple enforce(NumberContext context)
  
  Specified by:
  
  enforce in interface NumberContext.Enforceable<Quadruple>
- equals
  
  public boolean equals(Object obj)
  
  Overrides:
  
  equals in class Object
- floatValue
  
  public float floatValue()
  
  Specified by:
  
  floatValue in interface NumberDefinition
- get
  
  public Quadruple get()
  
  Specified by:
  
  get in interface AccessScalar<Quadruple>
- hashCode
  
  public int hashCode()
  
  Overrides:
  
  hashCode in class Object
- intValue
  
  public int intValue()
  
  Specified by:
  
  intValue in interface NumberDefinition
- invert
  
  public Quadruple invert()
  
  Description copied from interface: Group.Multiplicative
  
  The multiplicative inverse.
  
  Specified by:
  
  invert in interface Group.Multiplicative<Scalar<Quadruple>>
  
  Returns:
  
  IDENTITY / this.
- isAbsolute
  
  public boolean isAbsolute()
  Specified by:
  
  isAbsolute in interface Scalar<Quadruple>
  
  Returns:
  
  true if this is equal to its own norm, modulus or absolute value (non-negative real part and no imaginary part); otherwise false.
  
  See Also:
  
  Scalar.isAbsolute()
- isSmall
  
  public boolean isSmall(double comparedTo)
  
  Specified by:
  
  isSmall in interface NormedVectorSpace<Scalar<Quadruple>,Quadruple>
  
  Parameters:
  
  comparedTo - What to compare with
  
  Returns:
  
  true if this is small compared to the magnitude of the input reference value.
- isZero
  
  public boolean isZero()
  
  Description copied from interface: Scalar
  Tests if this scalar value is exactly zero.
  Each implementation should test for zero as exactly as possible based on what's achievable with that specific scalar type. The purpose is NOT to have similar behavior between different implementations, but rather to leverage the full precision and capabilities of each type.
  
  For example:
  
  Primitive types (like double) should use exact equality comparison
  
  High-precision types (like Quadruple) should check both base and remainder components
  
  Arbitrary-precision types (like BigDecimal) should use their built-in zero detection
  
  Complex types should check both real and imaginary parts
  
  This method should NOT use tolerance-based comparisons or approximate zero detection, as those are better handled by context-aware methods like NormedVectorSpace.isSmall(double).
  Specified by:
  
  isZero in interface Scalar<Quadruple>
  
  Returns:
  
  true if this scalar represents exactly zero, false otherwise
  
  See Also:
  
  NormedVectorSpace.isSmall(double)
- longValue
  
  public long longValue()
  
  Specified by:
  
  longValue in interface NumberDefinition
- multiply
  
  public Quadruple multiply(double arg)
  
  Specified by:
  
  multiply in interface ScalarOperation.Multiplication<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  this * scalarMultiplicand.
- multiply
  
  public Quadruple multiply(Quadruple arg)
  
  Specified by:
  
  multiply in interface ScalarOperation.Multiplication<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  this * multiplicand.
- negate
  
  public Quadruple negate()
  
  Description copied from interface: Group.Additive
  
  The additive inverse of this.
  
  Specified by:
  
  negate in interface Group.Additive<Scalar<Quadruple>>
  
  Returns:
  
  -this.
- norm
  
  public double norm()
  
  Description copied from interface: NormedVectorSpace
  
  this == this.signum().multiply(this.norm())
  
  Specified by:
  
  norm in interface NormedVectorSpace<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  The norm
- power
  
  public Quadruple power(int power)
  
  Description copied from interface: Operation.Multiplication
  
  Multiply by itself power times.
  
  Specified by:
  
  power in interface Operation.Multiplication<Scalar<Quadruple>>
- signum
  
  public Quadruple signum()
  
  Description copied from interface: NormedVectorSpace
  
  this == this.signum().multiply(this.norm())
  
  Specified by:
  
  signum in interface NormedVectorSpace<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  A unit "vector"
- subtract
  
  public Quadruple subtract(double arg)
  
  Specified by:
  
  subtract in interface ScalarOperation.Subtraction<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  this - scalarSubtrahend.
- subtract
  
  public Quadruple subtract(Quadruple arg)
  
  Specified by:
  
  subtract in interface ScalarOperation.Subtraction<Scalar<Quadruple>,Quadruple>
  
  Returns:
  
  this - scalarSubtrahend.
- toBigDecimal
  
  public BigDecimal toBigDecimal()
  
  Specified by:
  
  toBigDecimal in interface Scalar<Quadruple>
- toString
  
  public String toString()
  
  Overrides:
  
  toString in class Object
- toString
  
  public String toString(NumberContext context)
  
  Specified by:
  
  toString in interface Scalar<Quadruple>
- add
  
  default Quadruple add(float scalarAddend)
  
  Specified by:
  
  add in interface ScalarOperation.Addition<Scalar<S extends org.ojalgo.scalar.SelfDeclaringScalar<S>>,S extends org.ojalgo.scalar.SelfDeclaringScalar<S>>
  
  Returns:
  
  this + scalarAddend.
- divide
  
  default Quadruple divide(float scalarDivisor)
  
  Specified by:
  
  divide in interface ScalarOperation.Division<Scalar<S extends org.ojalgo.scalar.SelfDeclaringScalar<S>>,S extends org.ojalgo.scalar.SelfDeclaringScalar<S>>
  
  Returns:
  
  this / scalarDivisor.
- multiply
  
  default Quadruple multiply(float scalarMultiplicand)
  
  Specified by:
  
  multiply in interface ScalarOperation.Multiplication<Scalar<S extends org.ojalgo.scalar.SelfDeclaringScalar<S>>,S extends org.ojalgo.scalar.SelfDeclaringScalar<S>>
  
  Returns:
  
  this * scalarMultiplicand.
- subtract
  
  default Quadruple subtract(float scalarSubtrahend)
  
  Specified by:
  
  subtract in interface ScalarOperation.Subtraction<Scalar<S extends org.ojalgo.scalar.SelfDeclaringScalar<S>>,S extends org.ojalgo.scalar.SelfDeclaringScalar<S>>
  
  Returns:
  
  this - scalarSubtrahend.

Class Quadruple

Nested Class Summary

Nested classes/interfaces inherited from interface org.ojalgo.algebra.Group

Nested classes/interfaces inherited from interface org.ojalgo.algebra.Operation

Nested classes/interfaces inherited from interface org.ojalgo.scalar.Scalar

Nested classes/interfaces inherited from interface org.ojalgo.algebra.ScalarOperation

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Methods inherited from interface org.ojalgo.type.NumberDefinition

Methods inherited from interface org.ojalgo.scalar.Scalar

Methods inherited from interface org.ojalgo.tensor.Tensor

Field Details

FACTORY

MAX_VALUE

MIN_VALUE

NaN

NEG

NEGATIVE_INFINITY

ONE

POSITIVE_INFINITY

TWO

ZERO

Constructor Details

Quadruple

Method Details

isAbsolute

isInfinite

isNaN

isSmall

parse

valueOf

valueOf

valueOf

add

add

compareTo

conjugate

divide

divide

doubleValue

enforce

equals

floatValue

get

hashCode

intValue

invert

isAbsolute

isSmall

isZero

longValue

multiply

multiply

negate

norm

power

signum

subtract

subtract

toBigDecimal

toString

toString

add

divide

multiply

subtract