Class ExactDecimal<S extends ExactDecimal<S>>
- All Implemented Interfaces:
Comparable<S>, Field<Scalar<S>>, Group, Group.Additive<Scalar<S>>, Group.Multiplicative<Scalar<S>>, NormedVectorSpace<Scalar<S>, S>, Operation, Operation.Addition<Scalar<S>>, Operation.Division<Scalar<S>>, Operation.Multiplication<Scalar<S>>, Operation.Subtraction<Scalar<S>>, Ring<Scalar<S>>, ScalarOperation, ScalarOperation.Addition<Scalar<S>, S>, ScalarOperation.Division<Scalar<S>, S>, ScalarOperation.Multiplication<Scalar<S>, S>, ScalarOperation.Subtraction<Scalar<S>, S>, VectorSpace<Scalar<S>, S>, Scalar<S>, SelfDeclaringScalar<S>, AccessScalar<S>, Tensor<S, Scalar<S>>, NumberContext.Enforceable<S>, NumberDefinition
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Nested Class Summary
Nested ClassesModifier and TypeClassDescriptionstatic final classstatic interfaceExactDecimal.Factory<S extends ExactDecimal<S>>Nested classes/interfaces inherited from interface Group
Group.Additive<T>, Group.Multiplicative<T>Nested classes/interfaces inherited from interface Operation
Operation.Addition<T>, Operation.Division<T>, Operation.Multiplication<T>, Operation.Subtraction<T>Nested classes/interfaces inherited from interface ScalarOperation
ScalarOperation.Addition<T,N>, ScalarOperation.Division<T, N>, ScalarOperation.Multiplication<T, N>, ScalarOperation.Subtraction<T, N> -
Field Summary
Fields -
Constructor Summary
Constructors -
Method Summary
Modifier and TypeMethodDescriptionfinal Sadd(double scalarAddend) final Sfinal intfinal SThis method will (most likely) be moved to some other interface in the future! Just have to figure out where it fits...protected abstract ExactDecimal.Descriptorfinal Sdivide(double scalarDivisor) final Sfinal doublefinal Senforce(NumberContext context) protected static longextractUnscaledValue(BigDecimal decimal, NumberContext cntxt) final floatfinal Sget()final intintValue()final Sinvert()The multiplicative inverse.final booleanfinal booleanisSmall(double comparedTo) final booleanisZero()Tests if this scalar value is exactly zero.final longfinal Smultiply(double scalarMultiplicand) final Sfinal Snegate()The additive inverse of this.final doublenorm()this == this.signum().multiply(this.norm())(package private) final longpower(int power) Multiply by itselfpowertimes.final Ssignum()this == this.signum().multiply(this.norm())final Ssubtract(double scalarSubtrahend) final Sfinal BigDecimalprivate final BigDecimaltoBigDecimal(NumberContext context) final StringtoString()final StringtoString(NumberContext context) protected abstract Swrap(long numerator) Methods inherited from class Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, waitMethods inherited from interface NumberDefinition
booleanValue, byteValue, shortValueMethods inherited from interface Scalar
add, dimensions, divide, multiply, rank, subtract, toPlainStringMethods inherited from interface SelfDeclaringScalar
add, divide, multiply, subtractMethods inherited from interface Tensor
components, isSameShape
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Field Details
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myDecimal
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myNumerator
private final long myNumerator
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Constructor Details
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ExactDecimal
protected ExactDecimal(long numerator)
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Method Details
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extractUnscaledValue
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add
- Specified by:
addin interfaceScalarOperation.Addition<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
addin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
this + scalarAddend.
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add
- Specified by:
addin interfaceScalarOperation.Addition<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
addin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
this + scalarAddend.
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compareTo
- Specified by:
compareToin interfaceComparable<S extends ExactDecimal<S>>
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conjugate
Description copied from interface:VectorSpaceThis 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:
conjugatein interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Specified by:
conjugatein interfaceVectorSpace<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>
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divide
- Specified by:
dividein interfaceScalarOperation.Division<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
dividein interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
this / scalarDivisor.
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divide
- Specified by:
dividein interfaceScalarOperation.Division<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
dividein interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
this / scalarDivisor.
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doubleValue
public final double doubleValue()- Specified by:
doubleValuein interfaceNumberDefinition
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enforce
- Specified by:
enforcein interfaceNumberContext.Enforceable<S extends ExactDecimal<S>>
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floatValue
public final float floatValue()- Specified by:
floatValuein interfaceNumberDefinition
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get
- Specified by:
getin interfaceAccessScalar<S extends ExactDecimal<S>>
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intValue
public final int intValue()- Specified by:
intValuein interfaceNumberDefinition
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invert
Description copied from interface:Group.MultiplicativeThe multiplicative inverse.- Specified by:
invertin interfaceGroup.Multiplicative<S extends ExactDecimal<S>>- Specified by:
invertin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
IDENTITY / this.
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isAbsolute
public final boolean isAbsolute()- Specified by:
isAbsolutein interfaceScalar<S extends ExactDecimal<S>>- 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 final boolean isSmall(double comparedTo) - Specified by:
isSmallin interfaceNormedVectorSpace<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- 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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isZero
public final boolean isZero()Description copied from interface:ScalarTests 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:
isZeroin interfaceScalar<S extends ExactDecimal<S>>- Returns:
- true if this scalar represents exactly zero, false otherwise
- See Also:
- Primitive types (like
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longValue
public final long longValue()- Specified by:
longValuein interfaceNumberDefinition
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multiply
- Specified by:
multiplyin interfaceScalarOperation.Multiplication<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
multiplyin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
this * scalarMultiplicand.
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multiply
- Specified by:
multiplyin interfaceScalarOperation.Multiplication<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
multiplyin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
this * multiplicand.
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negate
Description copied from interface:Group.AdditiveThe additive inverse of this.- Specified by:
negatein interfaceGroup.Additive<S extends ExactDecimal<S>>- Specified by:
negatein interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
-this.
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norm
public final double norm()Description copied from interface:NormedVectorSpacethis == this.signum().multiply(this.norm())- Specified by:
normin interfaceNormedVectorSpace<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Returns:
- The norm
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power
Description copied from interface:Operation.MultiplicationMultiply by itselfpowertimes.- Specified by:
powerin interfaceOperation.Multiplication<S extends ExactDecimal<S>>- Specified by:
powerin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>
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signum
Description copied from interface:NormedVectorSpacethis == this.signum().multiply(this.norm())- Specified by:
signumin interfaceNormedVectorSpace<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
signumin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
- A unit "vector"
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subtract
- Specified by:
subtractin interfaceScalarOperation.Subtraction<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
subtractin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
this - scalarSubtrahend.
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subtract
- Specified by:
subtractin interfaceScalarOperation.Subtraction<Scalar<S extends ExactDecimal<S>>, S extends ExactDecimal<S>>- Specified by:
subtractin interfaceSelfDeclaringScalar<S extends ExactDecimal<S>>- Returns:
this - scalarSubtrahend.
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toBigDecimal
- Specified by:
toBigDecimalin interfaceScalar<S extends ExactDecimal<S>>
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toString
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toString
- Specified by:
toStringin interfaceScalar<S extends ExactDecimal<S>>
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toBigDecimal
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descriptor
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wrap
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numerator
final long numerator()
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