spire
.
math
Complex
final
case class
Complex
[
T
]
(
real:
T
,
imag:
T
)
extends
ScalaNumber
with
ScalaNumericConversions
with
Serializable
with
Product
Self Type
Complex
[
T
]
Annotations
@SerialVersionUID
(
0L
)
Linear Supertypes
Product
,
Equals
,
Serializable
,
ScalaNumericConversions
,
ScalaNumericAnyConversions
,
ScalaNumber
,
java.lang.Number
,
Serializable
,
AnyRef
,
Any
Ordering
Alphabetic
By inheritance
Inherited
Complex
Product
Equals
Serializable
ScalaNumericConversions
ScalaNumericAnyConversions
ScalaNumber
Number
Serializable
AnyRef
Any
Hide All
Show all
Learn more about member selection
Visibility
Public
All
Instance Constructors
new
Complex
(
real:
T
,
imag:
T
)
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
def
*
(
b:
Complex
[
T
]
)
(
implicit
r:
Rng
[
T
]
)
:
Complex
[
T
]
def
*
(
rhs:
T
)
(
implicit
r:
Semiring
[
T
]
)
:
Complex
[
T
]
def
**
(
b:
Complex
[
T
]
)
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
**
(
b:
Int
)
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
**
(
e:
T
)
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
+
(
b:
Complex
[
T
]
)
(
implicit
r:
Semiring
[
T
]
)
:
Complex
[
T
]
def
+
(
rhs:
T
)
(
implicit
r:
Semiring
[
T
]
)
:
Complex
[
T
]
def
-
(
b:
Complex
[
T
]
)
(
implicit
r:
Rng
[
T
]
)
:
Complex
[
T
]
def
-
(
rhs:
T
)
(
implicit
r:
Rng
[
T
]
)
:
Complex
[
T
]
def
/
(
b:
Complex
[
T
]
)
(
implicit
f:
Field
[
T
]
,
s:
Signed
[
T
]
)
:
Complex
[
T
]
def
/
(
rhs:
T
)
(
implicit
r:
Field
[
T
]
)
:
Complex
[
T
]
def
=!=
(
that:
Complex
[_]
)
:
Boolean
final
def
==
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
final
def
==
(
arg0:
Any
)
:
Boolean
Definition Classes
Any
def
===
(
that:
Complex
[_]
)
:
Boolean
def
abs
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
)
:
T
def
acos
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
t:
Trig
[
T
]
,
s0:
Signed
[
T
]
)
:
Complex
[
T
]
def
arg
(
implicit
f:
Field
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
:
T
final
def
asInstanceOf
[
T0
]
:
T0
Definition Classes
Any
def
asPolarTuple
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
: (
T
,
T
)
def
asTuple
: (
T
,
T
)
def
asin
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
t:
Trig
[
T
]
,
s0:
Signed
[
T
]
)
:
Complex
[
T
]
def
atan
(
implicit
f:
Field
[
T
]
,
r:
NRoot
[
T
]
,
t:
Trig
[
T
]
,
s0:
Signed
[
T
]
)
:
Complex
[
T
]
def
byteValue
()
:
Byte
Definition Classes
Complex
→ ScalaNumericAnyConversions → Number
def
ceil
(
implicit
o:
IsReal
[
T
]
)
:
Complex
[
T
]
def
clone
()
:
AnyRef
Attributes
protected[
java.lang
]
Definition Classes
AnyRef
Annotations
@throws
(
...
)
def
complexSignum
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
)
:
Complex
[
T
]
This implements sgn(z), which (except for z=0) observes:
This implements sgn(z), which (except for z=0) observes:
sgn(z) = z / abs(z) = abs(z) / z
def
conjugate
(
implicit
f:
Rng
[
T
]
)
:
Complex
[
T
]
def
cos
(
implicit
f:
Field
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
cosh
(
implicit
f:
Field
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
doubleValue
()
:
Double
Definition Classes
Complex
→ ScalaNumericAnyConversions → Number
final
def
eq
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
equals
(
that:
Any
)
:
Boolean
Definition Classes
Complex
→ Equals → AnyRef → Any
def
eqv
(
b:
Complex
[
T
]
)
(
implicit
o:
Eq
[
T
]
)
:
Boolean
def
exp
(
implicit
f:
Field
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
finalize
()
:
Unit
Attributes
protected[
java.lang
]
Definition Classes
AnyRef
Annotations
@throws
(
classOf[java.lang.Throwable]
)
def
floatValue
()
:
Float
Definition Classes
Complex
→ ScalaNumericAnyConversions → Number
def
floor
(
implicit
o:
IsReal
[
T
]
)
:
Complex
[
T
]
final
def
getClass
()
:
Class
[_]
Definition Classes
AnyRef → Any
def
hashCode
()
:
Int
Definition Classes
Complex
→ AnyRef → Any
val
imag
:
T
def
intValue
()
:
Int
Definition Classes
Complex
→ ScalaNumericAnyConversions → Number
def
isImaginary
(
implicit
s:
Signed
[
T
]
)
:
Boolean
final
def
isInstanceOf
[
T0
]
:
Boolean
Definition Classes
Any
def
isReal
(
implicit
s:
Signed
[
T
]
)
:
Boolean
def
isValidByte
:
Boolean
Definition Classes
ScalaNumericAnyConversions
def
isValidChar
:
Boolean
Definition Classes
ScalaNumericAnyConversions
final
def
isValidInt
:
Boolean
Definition Classes
Complex
→ ScalaNumericAnyConversions
def
isValidShort
:
Boolean
Definition Classes
ScalaNumericAnyConversions
def
isWhole
()
:
Boolean
Definition Classes
Complex
→ ScalaNumericAnyConversions → ScalaNumber
def
isZero
(
implicit
s:
Signed
[
T
]
)
:
Boolean
def
log
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
t:
Trig
[
T
]
,
s:
Signed
[
T
]
)
:
Complex
[
T
]
def
longValue
()
:
Long
Definition Classes
Complex
→ ScalaNumericAnyConversions → Number
final
def
ne
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
neqv
(
b:
Complex
[
T
]
)
(
implicit
o:
Eq
[
T
]
)
:
Boolean
def
norm
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
)
:
T
final
def
notify
()
:
Unit
Definition Classes
AnyRef
final
def
notifyAll
()
:
Unit
Definition Classes
AnyRef
def
nroot
(
k:
Int
)
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
pow
(
b:
Complex
[
T
]
)
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
pow
(
b:
Int
)
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
pow
(
e:
T
)
(
implicit
f:
Field
[
T
]
,
n:
NRoot
[
T
]
,
s:
Signed
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
val
real
:
T
def
round
(
implicit
o:
IsReal
[
T
]
)
:
Complex
[
T
]
def
shortValue
()
:
Short
Definition Classes
Complex
→ ScalaNumericAnyConversions → Number
def
sin
(
implicit
f:
Field
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
sinh
(
implicit
f:
Field
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
sqrt
(
implicit
f:
Field
[
T
]
,
n0:
NRoot
[
T
]
,
s:
Signed
[
T
]
)
:
Complex
[
T
]
final
def
synchronized
[
T0
]
(
arg0: ⇒
T0
)
:
T0
Definition Classes
AnyRef
def
tan
(
implicit
f:
Field
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
tanh
(
implicit
f:
Field
[
T
]
,
t:
Trig
[
T
]
)
:
Complex
[
T
]
def
toByte
:
Byte
Definition Classes
ScalaNumericAnyConversions
def
toChar
:
Char
Definition Classes
ScalaNumericAnyConversions
def
toDouble
:
Double
Definition Classes
ScalaNumericAnyConversions
def
toFloat
:
Float
Definition Classes
ScalaNumericAnyConversions
def
toInt
:
Int
Definition Classes
ScalaNumericAnyConversions
def
toLong
:
Long
Definition Classes
ScalaNumericAnyConversions
def
toQuaternion
(
implicit
ev:
AdditiveMonoid
[
T
]
)
:
Quaternion
[
T
]
def
toShort
:
Short
Definition Classes
ScalaNumericAnyConversions
def
toString
()
:
String
Definition Classes
Complex
→ AnyRef → Any
def
unary_-
(
implicit
r:
Rng
[
T
]
)
:
Complex
[
T
]
def
underlying
()
:
AnyRef
Definition Classes
Complex
→ ScalaNumericConversions → ScalaNumericAnyConversions → ScalaNumber
def
unifiedPrimitiveEquals
(
x:
Any
)
:
Boolean
Attributes
protected
Definition Classes
ScalaNumericAnyConversions
def
unifiedPrimitiveHashcode
()
:
Int
Attributes
protected
Definition Classes
ScalaNumericAnyConversions
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
Product
Inherited from
Equals
Inherited from
Serializable
Inherited from
ScalaNumericConversions
Inherited from
ScalaNumericAnyConversions
Inherited from
ScalaNumber
Inherited from
java.lang.Number
Inherited from
Serializable
Inherited from
AnyRef
Inherited from
Any
Ungrouped