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algebird
Ring
object
Ring
extends
GeneratedRingImplicits
with
ProductRings
with
Serializable
Linear Supertypes
Serializable
,
Serializable
,
ProductRings
,
GeneratedRingImplicits
, AnyRef,
Any
Ordering
Alphabetic
By inheritance
Inherited
Hide All
Show all
Ring
Serializable
Serializable
ProductRings
GeneratedRingImplicits
AnyRef
Any
Visibility
Public
All
Value Members
final
def
!=
(
arg0: AnyRef
)
:
Boolean
Definition Classes
AnyRef
final
def
!=
(
arg0:
Any
)
:
Boolean
Definition Classes
Any
final
def
##
()
:
Int
Definition Classes
AnyRef → Any
final
def
==
(
arg0: AnyRef
)
:
Boolean
Definition Classes
AnyRef
final
def
==
(
arg0:
Any
)
:
Boolean
Definition Classes
Any
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
,
U
,
V
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
,
sring:
Ring
[S]
,
tring:
Ring
[T]
,
uring:
Ring
[U]
,
vring:
Ring
[V]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
,
U
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
,
sring:
Ring
[S]
,
tring:
Ring
[T]
,
uring:
Ring
[U]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
,
sring:
Ring
[S]
,
tring:
Ring
[T]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
,
sring:
Ring
[S]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M, N) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L, M) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L, M)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K, L) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K, L)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
]
(
applyX: (A, B, C, D, E, F, G, H, I, J, K) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J, K)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
]
(
applyX: (A, B, C, D, E, F, G, H, I, J) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I, J)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
]
(
applyX: (A, B, C, D, E, F, G, H, I) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H, I)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
]
(
applyX: (A, B, C, D, E, F, G, H) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G, H)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
,
G
]
(
applyX: (A, B, C, D, E, F, G) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F, G)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
,
F
]
(
applyX: (A, B, C, D, E, F) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E, F)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
]
(
applyX: (A, B, C, D, E) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D, E)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
,
D
]
(
applyX: (A, B, C, D) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C, D)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
,
C
]
(
applyX: (A, B, C) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B, C)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
)
:
Ring
[X]
Definition Classes
ProductRings
def
apply
[
X
,
A
,
B
]
(
applyX: (A, B) ⇒ X
,
unapplyX: (X) ⇒
Option
[(A, B)]
)
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
)
:
Ring
[X]
Definition Classes
ProductRings
final
def
asInstanceOf
[
T0
]
: T0
Definition Classes
Any
def
asTimesMonoid
[
T
]
(
implicit
ring:
Ring
[T]
)
:
Monoid
[T]
implicit
val
bigIntRing
:
Ring
[BigInt]
implicit
val
boolRing
:
Ring
[
Boolean
]
def
clone
()
: AnyRef
Attributes
protected[
lang
]
Definition Classes
AnyRef
Annotations
@throws
()
implicit
val
doubleRing
:
Ring
[
Double
]
final
def
eq
(
arg0: AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
equals
(
arg0:
Any
)
:
Boolean
Definition Classes
AnyRef → Any
def
finalize
()
:
Unit
Attributes
protected[
lang
]
Definition Classes
AnyRef
Annotations
@throws
()
implicit
val
floatRing
:
Ring
[
Float
]
final
def
getClass
()
: java.lang.Class[_]
Definition Classes
AnyRef → Any
def
hashCode
()
:
Int
Definition Classes
AnyRef → Any
implicit
def
indexedSeqRing
[
T
]
(
implicit
arg0:
Ring
[T]
)
:
Ring
[IndexedSeq[T]]
implicit
val
intRing
:
Ring
[
Int
]
final
def
isInstanceOf
[
T0
]
:
Boolean
Definition Classes
Any
implicit
val
jboolRing
:
Ring
[
Boolean
]
implicit
val
jdoubleRing
:
Ring
[
Double
]
implicit
val
jfloatRing
:
Ring
[
Float
]
implicit
val
jintRing
:
Ring
[
Integer
]
implicit
val
jlongRing
:
Ring
[
Long
]
implicit
val
jshortRing
:
Ring
[
Short
]
implicit
val
longRing
:
Ring
[
Long
]
implicit
def
mapRing
[
K
,
V
]
(
implicit
ring:
Ring
[V]
)
:
MapRing
[K, V]
final
def
ne
(
arg0: AnyRef
)
:
Boolean
Definition Classes
AnyRef
final
def
notify
()
:
Unit
Definition Classes
AnyRef
final
def
notifyAll
()
:
Unit
Definition Classes
AnyRef
implicit
def
numericRing
[
T
]
(
implicit
arg0: Numeric[T]
)
:
Ring
[T]
def
one
[
T
]
(
implicit
rng:
Ring
[T]
)
: T
def
product
[
T
]
(
iter: TraversableOnce[T]
)
(
implicit
ring:
Ring
[T]
)
: T
def
productOption
[
T
]
(
it: TraversableOnce[T]
)
(
implicit
rng:
Ring
[T]
)
:
Option
[T]
def
readResolve
()
: AnyRef
Attributes
protected
implicit
def
ring10
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring11
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring12
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring13
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring14
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring15
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring16
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring17
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring18
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring19
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
,
sring:
Ring
[S]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring2
[
A
,
B
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
)
:
Ring
[(A, B)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring20
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
,
sring:
Ring
[S]
,
tring:
Ring
[T]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring21
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
,
U
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
,
sring:
Ring
[S]
,
tring:
Ring
[T]
,
uring:
Ring
[U]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring22
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
,
U
,
V
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
,
jring:
Ring
[J]
,
kring:
Ring
[K]
,
lring:
Ring
[L]
,
mring:
Ring
[M]
,
nring:
Ring
[N]
,
oring:
Ring
[O]
,
pring:
Ring
[P]
,
qring:
Ring
[Q]
,
rring:
Ring
[R]
,
sring:
Ring
[S]
,
tring:
Ring
[T]
,
uring:
Ring
[U]
,
vring:
Ring
[V]
)
:
Ring
[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring3
[
A
,
B
,
C
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
)
:
Ring
[(A, B, C)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring4
[
A
,
B
,
C
,
D
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
)
:
Ring
[(A, B, C, D)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring5
[
A
,
B
,
C
,
D
,
E
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
)
:
Ring
[(A, B, C, D, E)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring6
[
A
,
B
,
C
,
D
,
E
,
F
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
)
:
Ring
[(A, B, C, D, E, F)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring7
[
A
,
B
,
C
,
D
,
E
,
F
,
G
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
)
:
Ring
[(A, B, C, D, E, F, G)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring8
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
)
:
Ring
[(A, B, C, D, E, F, G, H)]
Definition Classes
GeneratedRingImplicits
implicit
def
ring9
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
]
(
implicit
aring:
Ring
[A]
,
bring:
Ring
[B]
,
cring:
Ring
[C]
,
dring:
Ring
[D]
,
ering:
Ring
[E]
,
fring:
Ring
[F]
,
gring:
Ring
[G]
,
hring:
Ring
[H]
,
iring:
Ring
[I]
)
:
Ring
[(A, B, C, D, E, F, G, H, I)]
Definition Classes
GeneratedRingImplicits
implicit
def
scMapRing
[
K
,
V
]
(
implicit
ring:
Ring
[V]
)
:
ScMapRing
[K, V]
implicit
val
shortRing
:
Ring
[
Short
]
final
def
synchronized
[
T0
]
(
arg0: ⇒ T0
)
: T0
Definition Classes
AnyRef
def
times
[
T
]
(
l: T
,
r: T
)
(
implicit
rng:
Ring
[T]
)
: T
def
toString
()
:
String
Definition Classes
AnyRef → Any
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
()
Inherited from
Serializable
Inherited from
Serializable
Inherited from
ProductRings
Inherited from
GeneratedRingImplicits
Inherited from AnyRef
Inherited from
Any