Package org.ojalgo.scalar
Class Quadruple
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>
,SelfDeclaringScalar<Quadruple>
,AccessScalar<Quadruple>
,Tensor<Quadruple,
,Scalar<Quadruple>> NumberContext.Enforceable<Quadruple>
,NumberDefinition
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/
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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
FieldsModifier and TypeFieldDescriptionstatic Scalar.Factory
<Quadruple> (package private) static final MathContext
static final Quadruple
static final Quadruple
private final double
private BigDecimal
private final double
static final Quadruple
static final Quadruple
static final Quadruple
(package private) static final NumberContext
static final Quadruple
static final Quadruple
private static final double
1+2^27 (Example code, that emulated double using float, had 1+2^13)static final Quadruple
static final Quadruple
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Constructor Summary
Constructors -
Method Summary
Modifier and TypeMethodDescriptionadd
(double arg) private static Quadruple
add
(double base1, double remainder1, double base2, double remainder2) https://blog.cyclemap.link/2011-06-09-glsl-part2-emu/int
This method will (most likely) be moved to some other interface in the future! Just have to figure out where it fits...divide
(double arg) private static Quadruple
divide
(double base1, double remainder1, double base2, double remainder2) High-precision division.private static Quadruple
double
enforce
(NumberContext context) boolean
float
get()
(package private) double
getBase()
(package private) double
int
hashCode()
int
intValue()
invert()
The multiplicative inverse.boolean
static boolean
isAbsolute
(Quadruple value) static boolean
isInfinite
(Quadruple value) static boolean
boolean
isSmall
(double comparedTo) static boolean
long
multiply
(double arg) private static Quadruple
multiply
(double base1, double remainder1, double base2, double remainder2) https://blog.cyclemap.link/2011-06-09-glsl-part2-emu/negate()
The additive inverse of this.double
norm()
this == this.signum().multiply(this.norm())
static Quadruple
parse
(CharSequence plainNumberString) power
(int power) Multiply by itselfpower
times.private int
sign()
signum()
this == this.signum().multiply(this.norm())
subtract
(double arg) private BigDecimal
toBigDecimal
(MathContext context) toString()
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.scalar.SelfDeclaringScalar
add, divide, multiply, subtract
Methods inherited from interface org.ojalgo.tensor.Tensor
components, isSameShape
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Field Details
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FACTORY
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MAX_VALUE
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MIN_VALUE
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NaN
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NEG
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NEGATIVE_INFINITY
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ONE
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POSITIVE_INFINITY
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TWO
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ZERO
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SPLIT
private static final double SPLIT1+2^27 (Example code, that emulated double using float, had 1+2^13)- See Also:
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MATH_CONTEXT
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NUMBER_CONTEXT
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myBase
private final double myBase -
myDecimal
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myRemainder
private final double myRemainder
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Constructor Details
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Quadruple
public Quadruple() -
Quadruple
private Quadruple(double base) -
Quadruple
private Quadruple(double base, double remainder)
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Method Details
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isAbsolute
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isInfinite
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isNaN
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isSmall
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parse
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valueOf
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valueOf
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valueOf
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add
https://blog.cyclemap.link/2011-06-09-glsl-part2-emu/ -
divide
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multiply
https://blog.cyclemap.link/2011-06-09-glsl-part2-emu/ -
divide
High-precision division. -
add
- Specified by:
add
in interfaceScalarOperation.Addition<Scalar<Quadruple>,
Quadruple> - Specified by:
add
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
this + scalarAddend
.
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add
- Specified by:
add
in interfaceScalarOperation.Addition<Scalar<Quadruple>,
Quadruple> - Specified by:
add
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
this + scalarAddend
.
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compareTo
- Specified by:
compareTo
in interfaceComparable<Quadruple>
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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 interfaceSelfDeclaringScalar<Quadruple>
- Specified by:
conjugate
in interfaceVectorSpace<Scalar<Quadruple>,
Quadruple>
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divide
- Specified by:
divide
in interfaceScalarOperation.Division<Scalar<Quadruple>,
Quadruple> - Specified by:
divide
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
this / scalarDivisor
.
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divide
- Specified by:
divide
in interfaceScalarOperation.Division<Scalar<Quadruple>,
Quadruple> - Specified by:
divide
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
this / scalarDivisor
.
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doubleValue
public double doubleValue()- Specified by:
doubleValue
in interfaceNumberDefinition
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enforce
- Specified by:
enforce
in interfaceNumberContext.Enforceable<Quadruple>
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equals
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floatValue
public float floatValue()- Specified by:
floatValue
in interfaceNumberDefinition
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get
- Specified by:
get
in interfaceAccessScalar<Quadruple>
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hashCode
public int hashCode() -
intValue
public int intValue()- Specified by:
intValue
in interfaceNumberDefinition
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invert
Description copied from interface:Group.Multiplicative
The multiplicative inverse.- Specified by:
invert
in interfaceGroup.Multiplicative<Scalar<Quadruple>>
- Specified by:
invert
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
IDENTITY / this
.
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isAbsolute
public boolean isAbsolute()- Specified by:
isAbsolute
in interfaceScalar<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:
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isSmall
public boolean isSmall(double comparedTo) - Specified by:
isSmall
in interfaceNormedVectorSpace<Scalar<Quadruple>,
Quadruple> - Parameters:
comparedTo
- What to compare with- Returns:
- true if this is small compared to the magnitude of the input reference value.
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longValue
public long longValue()- Specified by:
longValue
in interfaceNumberDefinition
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multiply
- Specified by:
multiply
in interfaceScalarOperation.Multiplication<Scalar<Quadruple>,
Quadruple> - Specified by:
multiply
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
this * scalarMultiplicand
.
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multiply
- Specified by:
multiply
in interfaceScalarOperation.Multiplication<Scalar<Quadruple>,
Quadruple> - Specified by:
multiply
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
this * multiplicand
.
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negate
Description copied from interface:Group.Additive
The additive inverse of this.- Specified by:
negate
in interfaceGroup.Additive<Scalar<Quadruple>>
- Specified by:
negate
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
-this
.
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norm
public double norm()Description copied from interface:NormedVectorSpace
this == this.signum().multiply(this.norm())
- Specified by:
norm
in interfaceNormedVectorSpace<Scalar<Quadruple>,
Quadruple> - Returns:
- The norm
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power
Description copied from interface:Operation.Multiplication
Multiply by itselfpower
times.- Specified by:
power
in interfaceOperation.Multiplication<Scalar<Quadruple>>
- Specified by:
power
in interfaceSelfDeclaringScalar<Quadruple>
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signum
Description copied from interface:NormedVectorSpace
this == this.signum().multiply(this.norm())
- Specified by:
signum
in interfaceNormedVectorSpace<Scalar<Quadruple>,
Quadruple> - Specified by:
signum
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
- A unit "vector"
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subtract
- Specified by:
subtract
in interfaceScalarOperation.Subtraction<Scalar<Quadruple>,
Quadruple> - Specified by:
subtract
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
this - scalarSubtrahend
.
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subtract
- Specified by:
subtract
in interfaceScalarOperation.Subtraction<Scalar<Quadruple>,
Quadruple> - Specified by:
subtract
in interfaceSelfDeclaringScalar<Quadruple>
- Returns:
this - scalarSubtrahend
.
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toBigDecimal
- Specified by:
toBigDecimal
in interfaceScalar<Quadruple>
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toString
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toString
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sign
private int sign() -
toBigDecimal
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getBase
double getBase() -
getRemainder
double getRemainder()
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