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algebird
Group
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trait Group
|
package algebird
object
Group
extends
GeneratedGroupImplicits
with
ProductGroups
with
FromAlgebraGroupImplicit0
with
Serializable
Linear Supertypes
Serializable
,
Serializable
,
FromAlgebraGroupImplicit0
,
FromAlgebraGroupImplicit1
,
ProductGroups
,
GeneratedGroupImplicits
,
AnyRef
,
Any
Ordering
Alphabetic
By Inheritance
Inherited
Group
Serializable
Serializable
FromAlgebraGroupImplicit0
FromAlgebraGroupImplicit1
ProductGroups
GeneratedGroupImplicits
AnyRef
Any
Hide All
Show All
Visibility
Public
All
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
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
,
sgroup:
Group
[
S
]
,
tgroup:
Group
[
T
]
,
ugroup:
Group
[
U
]
,
vgroup:
Group
[
V
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
,
sgroup:
Group
[
S
]
,
tgroup:
Group
[
T
]
,
ugroup:
Group
[
U
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
,
sgroup:
Group
[
S
]
,
tgroup:
Group
[
T
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
,
sgroup:
Group
[
S
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
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
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
def
apply
[
X
,
A
,
B
,
C
,
D
,
E
]
(
applyX: (
A
,
B
,
C
,
D
,
E
) ⇒
X
,
unapplyX: (
X
) ⇒
Option
[(
A
,
B
,
C
,
D
,
E
)]
)
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
def
apply
[
X
,
A
,
B
,
C
,
D
]
(
applyX: (
A
,
B
,
C
,
D
) ⇒
X
,
unapplyX: (
X
) ⇒
Option
[(
A
,
B
,
C
,
D
)]
)
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
def
apply
[
X
,
A
,
B
,
C
]
(
applyX: (
A
,
B
,
C
) ⇒
X
,
unapplyX: (
X
) ⇒
Option
[(
A
,
B
,
C
)]
)
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
def
apply
[
X
,
A
,
B
]
(
applyX: (
A
,
B
) ⇒
X
,
unapplyX: (
X
) ⇒
Option
[(
A
,
B
)]
)
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
)
:
Group
[
X
]
Definition Classes
ProductGroups
final
def
asInstanceOf
[
T0
]
:
T0
Definition Classes
Any
implicit
def
bigDecimalGroup
:
Group
[
BigDecimal
]
implicit
def
bigIntGroup
:
Group
[
BigInt
]
implicit
def
boolGroup
:
Group
[
Boolean
]
def
clone
()
:
AnyRef
Attributes
protected[
java.lang
]
Definition Classes
AnyRef
Annotations
@throws
(
...
)
implicit
def
doubleGroup
:
Group
[
Double
]
final
def
eq
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
equals
(
arg0:
Any
)
:
Boolean
Definition Classes
AnyRef → Any
def
equiv
[
T
]
(
implicit
grp:
Group
[
T
]
)
:
Equiv
[
T
]
def
finalize
()
:
Unit
Attributes
protected[
java.lang
]
Definition Classes
AnyRef
Annotations
@throws
(
classOf[java.lang.Throwable]
)
implicit
def
floatGroup
:
Group
[
Float
]
implicit
def
fromAlgebraAdditiveGroup
[
T
]
(
implicit
m:
AdditiveGroup
[
T
]
)
:
Group
[
T
]
Definition Classes
FromAlgebraGroupImplicit1
implicit
def
fromAlgebraGroup
[
T
]
(
implicit
m:
algebra.Group
[
T
]
)
:
Group
[
T
]
Definition Classes
FromAlgebraGroupImplicit0
final
def
getClass
()
:
Class
[_]
Definition Classes
AnyRef → Any
implicit
def
group10
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group11
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group12
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group13
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group14
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group15
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group16
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group17
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group18
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group19
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
,
sgroup:
Group
[
S
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group2
[
A
,
B
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
)
:
Group
[(
A
,
B
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group20
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
,
sgroup:
Group
[
S
]
,
tgroup:
Group
[
T
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group21
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
,
U
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
,
sgroup:
Group
[
S
]
,
tgroup:
Group
[
T
]
,
ugroup:
Group
[
U
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
,
U
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group22
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
,
U
,
V
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
,
jgroup:
Group
[
J
]
,
kgroup:
Group
[
K
]
,
lgroup:
Group
[
L
]
,
mgroup:
Group
[
M
]
,
ngroup:
Group
[
N
]
,
ogroup:
Group
[
O
]
,
pgroup:
Group
[
P
]
,
qgroup:
Group
[
Q
]
,
rgroup:
Group
[
R
]
,
sgroup:
Group
[
S
]
,
tgroup:
Group
[
T
]
,
ugroup:
Group
[
U
]
,
vgroup:
Group
[
V
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
,
J
,
K
,
L
,
M
,
N
,
O
,
P
,
Q
,
R
,
S
,
T
,
U
,
V
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group3
[
A
,
B
,
C
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
)
:
Group
[(
A
,
B
,
C
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group4
[
A
,
B
,
C
,
D
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
)
:
Group
[(
A
,
B
,
C
,
D
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group5
[
A
,
B
,
C
,
D
,
E
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group6
[
A
,
B
,
C
,
D
,
E
,
F
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group7
[
A
,
B
,
C
,
D
,
E
,
F
,
G
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group8
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
)]
Definition Classes
GeneratedGroupImplicits
implicit
def
group9
[
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
]
(
implicit
agroup:
Group
[
A
]
,
bgroup:
Group
[
B
]
,
cgroup:
Group
[
C
]
,
dgroup:
Group
[
D
]
,
egroup:
Group
[
E
]
,
fgroup:
Group
[
F
]
,
ggroup:
Group
[
G
]
,
hgroup:
Group
[
H
]
,
igroup:
Group
[
I
]
)
:
Group
[(
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
)]
Definition Classes
GeneratedGroupImplicits
def
hashCode
()
:
Int
Definition Classes
AnyRef → Any
implicit
def
indexedSeqGroup
[
T
]
(
implicit
arg0:
Group
[
T
]
)
:
Group
[
IndexedSeq
[
T
]]
implicit
def
intGroup
:
Group
[
Int
]
def
intTimes
[
T
]
(
i:
BigInt
,
v:
T
)
(
implicit
grp:
Group
[
T
]
)
:
T
Same as v + v + v ..
Same as v + v + v .. + v (i times in total)
final
def
isInstanceOf
[
T0
]
:
Boolean
Definition Classes
Any
implicit
def
jboolGroup
:
Group
[
Boolean
]
implicit
def
jdoubleGroup
:
Group
[
Double
]
implicit
def
jfloatGroup
:
Group
[
Float
]
implicit
def
jintGroup
:
Group
[
Integer
]
implicit
def
jlongGroup
:
Group
[
Long
]
implicit
def
jshortGroup
:
Group
[
Short
]
implicit
def
longGroup
:
Group
[
Long
]
implicit
def
mapGroup
[
K
,
V
]
(
implicit
group:
Group
[
V
]
)
:
Group
[
Map
[
K
,
V
]]
def
minus
[
T
]
(
l:
T
,
r:
T
)
(
implicit
grp:
Group
[
T
]
)
:
T
final
def
ne
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
negate
[
T
]
(
x:
T
)
(
implicit
grp:
Group
[
T
]
)
:
T
final
def
notify
()
:
Unit
Definition Classes
AnyRef
final
def
notifyAll
()
:
Unit
Definition Classes
AnyRef
implicit
def
nullGroup
:
Group
[
Null
]
implicit
def
optionGroup
[
T
]
(
implicit
arg0:
Group
[
T
]
)
:
OptionGroup
[
T
]
implicit
def
scMapGroup
[
K
,
V
]
(
implicit
group:
Group
[
V
]
)
:
Group
[
Map
[
K
,
V
]]
implicit
def
shortGroup
:
Group
[
Short
]
final
def
synchronized
[
T0
]
(
arg0: ⇒
T0
)
:
T0
Definition Classes
AnyRef
def
toString
()
:
String
Definition Classes
AnyRef → Any
implicit
def
unitGroup
:
Group
[
Unit
]
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
FromAlgebraGroupImplicit0
Inherited from
FromAlgebraGroupImplicit1
Inherited from
ProductGroups
Inherited from
GeneratedGroupImplicits
Inherited from
AnyRef
Inherited from
Any
Ungrouped