spire
.
algebra
EuclideanRing
Related Docs:
trait EuclideanRing
|
package algebra
object
EuclideanRing
extends
EuclideanRingFunctions
[
EuclideanRing
] with
Serializable
Linear Supertypes
Serializable
,
Serializable
,
EuclideanRingFunctions
[
EuclideanRing
],
GCDRingFunctions
[
EuclideanRing
],
RingFunctions
[
EuclideanRing
],
MultiplicativeMonoidFunctions
[
EuclideanRing
],
MultiplicativeSemigroupFunctions
[
EuclideanRing
],
AdditiveGroupFunctions
[
EuclideanRing
],
AdditiveMonoidFunctions
[
EuclideanRing
],
AdditiveSemigroupFunctions
[
EuclideanRing
],
AnyRef
,
Any
Ordering
Alphabetic
By Inheritance
Inherited
EuclideanRing
Serializable
Serializable
EuclideanRingFunctions
GCDRingFunctions
RingFunctions
MultiplicativeMonoidFunctions
MultiplicativeSemigroupFunctions
AdditiveGroupFunctions
AdditiveMonoidFunctions
AdditiveSemigroupFunctions
AnyRef
Any
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Visibility
Public
All
Type Members
trait
WithEuclideanAlgorithm
[
A
]
extends
EuclideanRing
[
A
]
Value Members
final
def
!=
(
arg0:
Any
)
:
Boolean
Definition Classes
AnyRef → Any
final
def
##
()
:
Int
Definition Classes
AnyRef → Any
final
def
==
(
arg0:
Any
)
:
Boolean
Definition Classes
AnyRef → Any
final
def
apply
[
A
]
(
implicit
e:
EuclideanRing
[
A
]
)
:
EuclideanRing
[
A
]
Annotations
@inline
()
final
def
asInstanceOf
[
T0
]
:
T0
Definition Classes
Any
def
clone
()
:
AnyRef
Attributes
protected[
java.lang
]
Definition Classes
AnyRef
Annotations
@throws
(
...
)
final
def
defaultFromBigInt
[
A
]
(
n:
BigInt
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
RingFunctions
final
def
defaultFromDouble
[
A
]
(
a:
Double
)
(
implicit
ringA:
algebra.ring.Ring
[
A
]
,
mgA:
algebra.ring.MultiplicativeGroup
[
A
]
)
:
A
Definition Classes
RingFunctions
final
def
eq
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
equals
(
arg0:
Any
)
:
Boolean
Definition Classes
AnyRef → Any
final
def
euclid
[
A
]
(
a:
A
,
b:
A
)
(
implicit
arg0:
Eq
[
A
]
,
arg1:
EuclideanRing
[
A
]
)
:
A
Annotations
@tailrec
()
def
euclideanFunction
[
A
]
(
a:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
BigInt
Definition Classes
EuclideanRingFunctions
def
finalize
()
:
Unit
Attributes
protected[
java.lang
]
Definition Classes
AnyRef
Annotations
@throws
(
classOf[java.lang.Throwable]
)
def
fromBigInt
[
A
]
(
n:
BigInt
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
RingFunctions
def
fromInt
[
A
]
(
n:
Int
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
RingFunctions
def
gcd
[
A
]
(
a:
A
,
b:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
,
eqA:
Eq
[
A
]
)
:
A
Definition Classes
GCDRingFunctions
final
def
getClass
()
:
Class
[_]
Definition Classes
AnyRef → Any
def
hashCode
()
:
Int
Definition Classes
AnyRef → Any
def
isAdditiveCommutative
[
A
]
(
implicit
ev:
EuclideanRing
[
A
]
)
:
Boolean
Definition Classes
AdditiveSemigroupFunctions
final
def
isInstanceOf
[
T0
]
:
Boolean
Definition Classes
Any
def
isMultiplicativeCommutative
[
A
]
(
implicit
ev:
EuclideanRing
[
A
]
)
:
Boolean
Definition Classes
MultiplicativeSemigroupFunctions
def
isOne
[
A
]
(
a:
A
)
(
implicit
ev0:
EuclideanRing
[
A
]
,
ev1:
algebra.Eq
[
A
]
)
:
Boolean
Definition Classes
MultiplicativeMonoidFunctions
def
isZero
[
A
]
(
a:
A
)
(
implicit
ev0:
EuclideanRing
[
A
]
,
ev1:
algebra.Eq
[
A
]
)
:
Boolean
Definition Classes
AdditiveMonoidFunctions
def
lcm
[
A
]
(
a:
A
,
b:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
,
eqA:
Eq
[
A
]
)
:
A
Definition Classes
GCDRingFunctions
def
minus
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
AdditiveGroupFunctions
final
def
ne
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
negate
[
A
]
(
x:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
AdditiveGroupFunctions
final
def
notify
()
:
Unit
Definition Classes
AnyRef
final
def
notifyAll
()
:
Unit
Definition Classes
AnyRef
def
one
[
A
]
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
MultiplicativeMonoidFunctions
def
plus
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
AdditiveSemigroupFunctions
def
pow
[
A
]
(
a:
A
,
n:
Int
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
MultiplicativeSemigroupFunctions
def
product
[
A
]
(
as:
TraversableOnce
[
A
]
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
MultiplicativeMonoidFunctions
def
quot
[
A
]
(
a:
A
,
b:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
EuclideanRingFunctions
def
sum
[
A
]
(
as:
TraversableOnce
[
A
]
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
AdditiveMonoidFunctions
def
sumN
[
A
]
(
a:
A
,
n:
Int
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
AdditiveSemigroupFunctions
final
def
synchronized
[
T0
]
(
arg0: ⇒
T0
)
:
T0
Definition Classes
AnyRef
def
times
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
MultiplicativeSemigroupFunctions
def
toString
()
:
String
Definition Classes
AnyRef → Any
def
tryProduct
[
A
]
(
as:
TraversableOnce
[
A
]
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
Option
[
A
]
Definition Classes
MultiplicativeSemigroupFunctions
def
trySum
[
A
]
(
as:
TraversableOnce
[
A
]
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
Option
[
A
]
Definition Classes
AdditiveSemigroupFunctions
final
def
wait
()
:
Unit
Definition Classes
AnyRef
Annotations
@throws
(
...
)
final
def
wait
(
arg0:
Long
,
arg1:
Int
)
:
Unit
Definition Classes
AnyRef
Annotations
@throws
(
...
)
final
def
wait
(
arg0:
Long
)
:
Unit
Definition Classes
AnyRef
Annotations
@throws
(
...
)
def
zero
[
A
]
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
AdditiveMonoidFunctions
Inherited from
Serializable
Inherited from
Serializable
Inherited from
EuclideanRingFunctions
[
EuclideanRing
]
Inherited from
GCDRingFunctions
[
EuclideanRing
]
Inherited from
RingFunctions
[
EuclideanRing
]
Inherited from
MultiplicativeMonoidFunctions
[
EuclideanRing
]
Inherited from
MultiplicativeSemigroupFunctions
[
EuclideanRing
]
Inherited from
AdditiveGroupFunctions
[
EuclideanRing
]
Inherited from
AdditiveMonoidFunctions
[
EuclideanRing
]
Inherited from
AdditiveSemigroupFunctions
[
EuclideanRing
]
Inherited from
AnyRef
Inherited from
Any
Ungrouped
