core
core
spire
BuildInfo
NoImplicit
NoImplicit
compat
implicits
spire.algebra
Action
Action
Additive
AdditiveAction
AdditiveTorsor
AdditiveTorsor
CModule
CModule
CoordinateSpace
CoordinateSpace
DivisionRing
DivisionRing
EuclideanRing
EuclideanRing
WithEuclideanAlgorithm
EuclideanRingFunctions
Field
Field
FieldOfFractionsGCD
WithDefaultGCD
FieldAssociativeAlgebra
FieldAssociativeAlgebra
GCDRing
GCDRing
GCDRingFunctions
InnerProductSpace
InnerProductSpace
Involution
Involution
SelfAdjoint
IsAlgebraic
IsAlgebraic
IsIntegral
IsIntegral
IsRational
IsRational
IsReal
IsReal
LeftAction
LeftAction
LeftModule
LeftModule
MetricSpace
MetricSpace
Multiplicative
MultiplicativeAction
MultiplicativeTorsor
MultiplicativeTorsor
NRoot
NRoot
NormedVectorSpace
NormedVectorSpace
RightAction
RightAction
RightModule
RightModule
RingAssociativeAlgebra
RingAssociativeAlgebra
Sign
Sign
Negative
Positive
SignAlgebra
Zero
Signed
Signed
SignedAdditiveAbGroup
SignedAdditiveCMonoid
Torsor
Torsor
Trig
Trig
TruncatedDivision
TruncatedDivision
TruncatedDivisionCRing
UniqueFactorizationDomain
UniqueFactorizationDomain
Decomposition
WrapDecomposition
VectorSpace
VectorSpace
ZAlgebra
ZAlgebra
spire.algebra.free
FreeAbGroup
FreeAbGroup
FreeGroup
FreeGroup
FreeMonoid
FreeMonoid
spire.algebra.lattice
spire.algebra.partial
Groupoid
Groupoid
GroupoidLowPriority
LeftPartialAction
LeftPartialAction
PartialAction
PartialAction
RightPartialAction
RightPartialAction
Semigroupoid
Semigroupoid
SemigroupoidLowPriority
spire.math
Above
Algebraic
Algebraic
BFMSS
Bound
BitBound
BitBound
Expr
Expr
Add
AddOrSubExpr
BinaryExpr
Constant
ConstantBigDecimal
ConstantDouble
ConstantLong
ConstantRational
ConstantRoot
Div
Flags
Flags
KRoot
Mul
Neg
Pow
Sub
UnaryExpr
LiYap
Bound
ZeroBoundFunction
AlgebraicAlgebra
AlgebraicInstances
All
Below
BinaryMerge
BinaryMerge
BitString
BitString
Bounded
Complex
Complex
ComplexInstances
ComplexInstances0
ComplexInstances1
ConvertableFrom
ConvertableFrom
ConvertableTo
ConvertableTo
Empty
FastComplex
FloatComplex
FloatComplex
Fractional
Fractional
HighBranchingMedianOf5
InsertionSort
Integral
Integral
IntegralOps
Interval
Interval
Jet
Jet
JetDim
JetInstances
LinearMerge
LinearSelect
Merge
MergeSort
Natural
Natural
Digit
End
NaturalAlgebra
NaturalInstances
Number
Number
NumberAlgebra
NumberInstances
NumberTag
Approximate
BuiltinFloatTag
BuiltinIntTag
CustomTag
Exact
Integral
LargeTag
Resolution
UnsignedIntTag
NumberTag
Numeric
Numeric
Point
Polynomial
Polynomial
PolynomialEq
PolynomialInstances
PolynomialInstances0
PolynomialInstances1
PolynomialInstances2
PolynomialInstances3
PolynomialInstances4
PolynomialOverCRing
PolynomialOverField
PolynomialOverRig
PolynomialOverRing
PolynomialOverRng
PolynomialOverSemiring
Quaternion
Quaternion
QuaternionInstances
QuaternionInstances1
QuickSelect
QuickSort
Rational
Rational
RationalAlgebra
RationalInstances
Real
Real
Exact
Inexact
RealAlgebra
RealInstances
RealIsFractional
SafeLong
SafeLong
SafeLongInstances
SafeLongAlgebra
SafeLongIsReal
ScalaOrderingWrapperCompat
Searching
Select
SelectLike
Selection
Sort
Sorting
Trilean
Trilean
TrileanAlgebra
UByte
UByte
UByteInstances
UInt
UInt
UIntInstances
ULong
ULong
ULongInstances
UShort
UShort
UShortInstances
spire.math.interval
Bound
Bound
Closed
EmptyBound
Open
Overlap
Overlap
Disjoint
Equal
PartialOverlap
Subset
Unbound
ValueBound
ValueBound
spire.math.poly
BigDecimalRootRefinement
BigDecimalRootRefinement
AbsoluteContext
Approximation
ApproximationContext
Bounded
BoundedLeft
BoundedRight
ExactRoot
RelativeContext
Unbounded
PolyDense
TermIterator
PolyDense
PolySparse
TermIterator
PolySparse
RootFinder
RootFinder
RootIsolator
RootIsolator
Roots
Roots
SpecialPolynomials
Term
Term
spire.math.prime
BitSet
BitSet
FactorHeap
Factors
Factors
SieveSegment
SieveSegment
SieveUtil
Factor
FastFactor
FastFactors
FastFactors
Siever
spire.optional
IterableGroupoid
IterableSemigroupoid
PartialIterable0
PartialIterable1
Perm
Perm
PermGroup
PermIntAction
PermSeqPartialAction
VectorOrderLow
genericEq
intervalGeometricPartialOrder
IntervalGeometricPartialOrder
intervalSubsetPartialOrder
IntervalSubsetPartialOrder
intervalValuePartialOrder
IntervalValuePartialOrder
partialIterable
powerSetPartialOrder
PowerSetPartialOrder
rationalTrig
totalfloat
TotalDoubleOrder
TotalFloatOrder
vectorOrder
spire.optional.unicode
spire.random
Const
Dist
Dist
DistCModule
DistCRig
DistCRing
DistCRng
DistCSemiring
DistEuclideanRing
DistField
DistFromGen
DistGCDRing
DistInnerProductSpace
DistInstances0
DistInstances1
DistInstances2
DistInstances3
DistInstances4
DistInstances5
DistInstances6
DistInstances7
DistInstances8
DistInstances9
DistIterator
DistNormedVectorSpace
DistVectorSpace
Exponential
Exponential
ExponentialInstances
FlatMap
Gaussian
Gaussian
GaussianInstances
Generator
Generator
GeneratorCompanion
GlobalRng
IntBasedGenerator
LongBasedGenerator
MarsagliaGaussian
More
Next
Op
Random
Random
RandomCmwc5
RandomCompanion
RandomOps
Seed
Seed
Size
Size
Between
Exact
Uniform
Uniform
Ziggurat
spire.random.rng
BurtleCompanion
BurtleRot2
BurtleRot2
BurtleRot3
BurtleRot3
BurtleRot32
Cmwc5
Cmwc5
CycledFile
CycledFile
Device
Device
Lcg32
Lcg32
Lcg64
Lcg64
Marsaglia32a6
Marsaglia32a6
MersenneTwister32
MersenneTwister32
MersenneTwister64
MersenneTwister64
PcgSeed64
PcgXshRr64_32
PcgXshRr64_32
SecureJava
SecureJava
Serial
Serial
SyncGenerator
SyncGenerator
Utils
Well1024a
Well1024a
Well19937a
Well19937a
Well19937c
Well19937c
Well44497a
Well44497a
Well44497b
Well44497b
Well512a
Well512a
spire.scalacompat
BuilderCompat
ScalaOrderingWrapperCompat
spire.std
AbGroupProductInstances
AnyInstances
ArrayCoordinateSpace
ArrayInstances
ArrayInstances0
ArrayInstances1
ArrayInstances2
ArrayInstances3
ArraySupport
ArrayVectorEq
ArrayVectorOrder
BigDecimalAlgebra
BigDecimalInstances
BigDecimalIsField
BigDecimalIsNRoot
BigDecimalIsReal
BigDecimalIsTrig
BigDecimalOrder
BigDecimalSigned
BigDecimalTruncatedDivision
BigIntAlgebra
BigIntInstances
BigIntIsEuclideanRing
BigIntIsMetricSpace
BigIntIsNRoot
BigIntIsReal
BigIntOrder
BigIntSigned
BigIntTruncatedDivision
BigIntegerAlgebra
BigIntegerInstances
BigIntegerIsEuclideanRing
BigIntegerIsMetricSpace
BigIntegerIsNRoot
BigIntegerIsReal
BigIntegerOrder
BigIntegerSigned
BigIntegerTruncatedDivision
BooleanInstances
BooleanIsBool
BooleanIsRig
BooleanOrder
BooleanStructure
ByteAlgebra
ByteInstances
ByteIsBitString
ByteIsEuclideanRing
ByteIsNRoot
ByteIsReal
ByteOrder
ByteSigned
ByteTruncatedDivision
CharAlgebra
CharInstances
CharOrder
DoubleAlgebra
DoubleInstances
DoubleIsField
DoubleIsNRoot
DoubleIsReal
DoubleIsTrig
DoubleOrder
DoubleSigned
DoubleTruncatedDivision
EqProductInstances
FloatAlgebra
FloatInstances
FloatIsField
FloatIsNRoot
FloatIsReal
FloatIsTrig
FloatOrder
FloatSigned
FloatTruncatedDivision
GroupProductInstances
IntAlgebra
IntInstances
IntIsBitString
IntIsEuclideanRing
IntIsNRoot
IntIsReal
IntOrder
IntSigned
IntTruncatedDivision
IterableInstances
IterableMonoid
LevenshteinDistance
LongAlgebra
LongInstances
LongIsBitString
LongIsEuclideanRing
LongIsNRoot
LongIsReal
LongOrder
LongSigned
LongTruncatedDivision
MapCRng
MapCSemiring
MapEq
MapGroup
MapInnerProductSpace
MapInstances
MapInstances0
MapInstances1
MapInstances2
MapInstances3
MapMonoid
MapVectorEq
MapVectorSpace
MonoidProductInstances
OptionAdditiveMonoid
OptionCMonoid
OptionEq
OptionInstances
OptionInstances0
OptionMonoid
OptionMultiplicativeMonoid
OptionOrder
OrderProductInstances
ProductInstances
RigProductInstances
RingProductInstances
RngProductInstances
SemigroupProductInstances
SemiringProductInstances
SeqCModule
SeqCoordinateSpace
SeqEq
SeqInnerProductSpace
SeqInstances
SeqInstances0
SeqInstances1
SeqInstances2
SeqInstances3
SeqLpNormedVectorSpace
SeqMaxNormedVectorSpace
SeqOrder
SeqVectorEq
SeqVectorOrder
SeqVectorSpace
ShortAlgebra
ShortInstances
ShortIsBitString
ShortIsEuclideanRing
ShortIsNRoot
ShortIsReal
ShortOrder
ShortSigned
ShortTruncatedDivision
StringInstances
StringInstances0
StringMonoid
StringOrder
UnitAbGroup
UnitAlgebra
UnitInstances
UnitOrder
any
array
bigDecimal
bigInt
bigInteger
boolean
byte
char
double
float
int
iterable
long
map
option
seq
short
string
tuples
unit
spire.syntax
ActionSyntax
AdditiveGroupOps
AdditiveGroupSyntax
AdditiveMonoidOps
AdditiveMonoidSyntax
AdditiveSemigroupOps
AdditiveSemigroupSyntax
AllSyntax
BitStringOps
BitStringSyntax
BoolOps
BoolSyntax
CModuleSyntax
ConvertableFromSyntax
CoordinateSpaceOps
CoordinateSpaceSyntax
EqOps
EqSyntax
EuclideanRingOps
EuclideanRingSyntax
FastForSyntax
FieldSyntax
FractionalSyntax
GCDRingOps
GCDRingSyntax
GroupOps
GroupSyntax
GroupoidCommonOps
GroupoidOps
GroupoidSyntax
HeytingOps
HeytingSyntax
InnerProductSpaceOps
InnerProductSpaceSyntax
IntegralSyntax
IntervalPointOps
IntervalSyntax
InvolutionOps
InvolutionSyntax
IsRealOps
IsRealSyntax
JoinOps
LatticeSyntax
LeftActionOps
LeftModuleOps
LeftModuleSyntax
LeftPartialActionOps
LiteralDoubleAdditiveGroupOps
LiteralDoubleAdditiveSemigroupOps
LiteralDoubleEuclideanRingOps
LiteralDoubleMultiplicativeGroupOps
LiteralDoubleMultiplicativeSemigroupOps
LiteralDoubleOrderOps
LiteralDoubleTruncatedDivisionOps
LiteralIntAdditiveGroupOps
LiteralIntAdditiveSemigroupOps
LiteralIntEuclideanRingOps
LiteralIntMultiplicativeGroupOps
LiteralIntMultiplicativeSemigroupOps
LiteralIntOrderOps
LiteralIntTruncatedDivisionOps
LiteralLongAdditiveGroupOps
LiteralLongAdditiveSemigroupOps
LiteralLongEuclideanRingOps
LiteralLongMultiplicativeGroupOps
LiteralLongMultiplicativeSemigroupOps
LiteralLongOrderOps
LiteralLongTruncatedDivisionOps
LiteralsSyntax
eu
si
us
LogicOps
LogicSyntax
MeetOps
MetricSpaceOps
MetricSpaceSyntax
MonoidOps
MonoidSyntax
MultiplicativeGroupOps
MultiplicativeGroupSyntax
MultiplicativeMonoidOps
MultiplicativeMonoidSyntax
MultiplicativeSemigroupOps
MultiplicativeSemigroupSyntax
NRootOps
NRootSyntax
NormedVectorSpaceOps
NormedVectorSpaceSyntax
NumericSyntax
OrderOps
OrderSyntax
PartialActionSyntax
PartialOrderOps
PartialOrderSyntax
RigSyntax
RightActionOps
RightModuleOps
RightModuleSyntax
RightPartialActionOps
RingSyntax
RngSyntax
SemigroupOps
SemigroupSyntax
SemigroupoidOps
SemigroupoidSyntax
SemiringOps
SemiringSyntax
SignedOps
SignedSyntax
TorsorPointOps
TorsorSyntax
TrigOps
TrigSyntax
TruncatedDivisionOps
TruncatedDivisionSyntax
UnboundSyntax
VectorSpaceOps
VectorSpaceSyntax
action
additiveGroup
additiveMonoid
additiveSemigroup
all
bitString
bool
cModule
cfor
convertableFrom
coordinateSpace
eq
euclideanRing
fastFor
field
fractional
gcdRing
group
groupoid
heyting
innerProductSpace
integral
interval
involution
isReal
lattice
leftModule
literals
logic
metricSpace
monoid
multiplicativeGroup
multiplicativeMonoid
multiplicativeSemigroup
normedVectorSpace
nroot
numeric
order
partialAction
partialOrder
rig
rightModule
ring
rng
semigroup
semigroupoid
semiring
signed
torsor
trig
truncatedDivision
unbound
vectorSpace
spire.syntax.macros
spire.syntax.std
ArrayOps
ArraySyntax
BigIntSyntax
DoubleSyntax
IndexedSeqOps
IntSyntax
LongSyntax
SeqOps
SeqSyntax
array
bigInt
double
int
long
seq
core
/
spire.math
/
RationalInstances
RationalInstances
trait
RationalInstances
Graph
Supertypes
Known subtypes
class
Object
trait
Matchable
class
Any
object
Rational
Implicits
Implicits
Implicits
final implicit
val
RationalAlgebra
:
Field
[
Rational
] &
IsRational
[
Rational
] &
TruncatedDivisionCRing
[
Rational
]
final implicit
val
RationalTag
:
NumberTag
[
Rational
]