final case class MultivariateRingZp64(coefficientDomain: IntegersZp64, variables: Array[String], ordering: Ordering) extends IMultivariateRing[MonomialZp64, MultivariatePolynomialZp64, Long] with Product with Serializable
Zp[variables] with specified modulus
- coefficientDomain
coefficient ring
- Alphabetic
- By Inheritance
- MultivariateRingZp64
- Product
- Equals
- IMultivariateRing
- IPolynomialRing
- Ring
- Serializable
- Serializable
- RingSupport
- IParser
- Stringifiable
- AnyRef
- Any
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- Public
- All
Instance Constructors
Type Members
-
final
type
CoefficientType = Long
Type of coefficients
Type of coefficients
- Definition Classes
- IPolynomialRing
-
final
type
ElementType = MultivariatePolynomialZp64
Element type
Element type
- Definition Classes
- Ring
-
type
MonomialType = MonomialZp64
The type of monomials
The type of monomials
- Definition Classes
- IMultivariateRing
-
final
type
PolyType = MultivariatePolynomialZp64
Type of polynomials
Type of polynomials
- Definition Classes
- IPolynomialRing
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
addConstant(poly: MultivariatePolynomialZp64, el: Long): MultivariatePolynomialZp64
Add coefficient ring element
Add coefficient ring element
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
final
def
apply(a: Long, b: Long, c: Long, d: Long, e: Long): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- IPolynomialRing
-
final
def
apply(a: Long, b: Long, c: Long, d: Long): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- IPolynomialRing
-
final
def
apply(a: Long, b: Long, c: Long): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- IPolynomialRing
-
final
def
apply(a: Long, b: Long): (MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- IPolynomialRing
-
final
def
apply(value: Long): MultivariatePolynomialZp64
- Definition Classes
- IPolynomialRing
-
final
def
apply(a: Int, b: Int, c: Int, d: Int, e: Int, f: Int, g: Int): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: Int, b: Int, c: Int, d: Int, e: Int, f: Int): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: Int, b: Int, c: Int, d: Int, e: Int): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: Int, b: Int, c: Int, d: Int): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: Int, b: Int, c: Int): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: Int, b: Int): (MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: String, b: String, c: String, d: String, e: String, f: String, g: String): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: String, b: String, c: String, d: String, e: String, f: String): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: String, b: String, c: String, d: String, e: String): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: String, b: String, c: String, d: String): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: String, b: String, c: String): (MultivariatePolynomialZp64, MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(a: String, b: String): (MultivariatePolynomialZp64, MultivariatePolynomialZp64)
- Definition Classes
- Ring
-
final
def
apply(e: ElementType): MultivariatePolynomialZp64
- Definition Classes
- Ring
-
final
def
apply(int: IntZ): MultivariatePolynomialZp64
- Definition Classes
- Ring
-
final
def
apply(int: BigInt): MultivariatePolynomialZp64
- Definition Classes
- Ring
-
final
def
apply(int: Int): MultivariatePolynomialZp64
- Definition Classes
- Ring
-
final
def
apply(string: String): MultivariatePolynomialZp64
Parse
Parse
- Definition Classes
- Ring
-
final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
-
def
cc(poly: MultivariatePolynomialZp64): Long
Constant coefficient
Constant coefficient
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
val
cfRing: Ring[Long]
The coefficient ring
The coefficient ring
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
def
cfValue(i: Int): Long
Value of integer in coefficient ring
Value of integer in coefficient ring
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
def
clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @HotSpotIntrinsicCandidate() @throws( ... )
-
lazy val
coder: Coder[ElementType]
String from/to conversion for ring elements
String from/to conversion for ring elements
- Definition Classes
- MultivariateRingZp64 → Ring
- val coefficientDomain: IntegersZp64
-
final
def
divRem(a: MultivariatePolynomialZp64, b: MultivariatePolynomialZp64): (MultivariatePolynomialZp64, MultivariatePolynomialZp64)
Shortcut for /% operation
Shortcut for /% operation
- Attributes
- protected[cc.redberry.rings.scaladsl]
- Definition Classes
- IPolynomialRing
-
def
divideAndRemainder(poly: MultivariatePolynomialZp64, el: Long): (MultivariatePolynomialZp64, MultivariatePolynomialZp64)
Divide by coefficient ring element
Divide by coefficient ring element
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
def
divideConstant(poly: MultivariatePolynomialZp64, el: Long): MultivariatePolynomialZp64
Divide by coefficient ring element
Divide by coefficient ring element
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
final
def
element(e: Any): MultivariatePolynomialZp64
Casts e to element of this
Casts e to element of this
- Definition Classes
- Ring
-
final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
def
eval(poly: MultivariatePolynomialZp64, variable: Int, value: Long): MultivariatePolynomialZp64
Evaluate poly for given variable
Evaluate poly for given variable
- Definition Classes
- MultivariateRingZp64 → IMultivariateRing
-
final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @HotSpotIntrinsicCandidate()
-
def
getConstant(value: Long): MultivariatePolynomialZp64
Constant polynomial with specified value
Constant polynomial with specified value
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
final
def
index(variable: String): Int
Index of variable with specified string representation
Index of variable with specified string representation
- Definition Classes
- IPolynomialRing
-
def
isElement(e: Any): Boolean
Reflection: determines whether is element of this
Reflection: determines whether is element of this
- Definition Classes
- IPolynomialRing → Ring
-
final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
-
def
lc(poly: MultivariatePolynomialZp64): Long
Leading coefficient
Leading coefficient
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
def
multiplyConstant(poly: MultivariatePolynomialZp64, el: Long): MultivariatePolynomialZp64
Multiply by coefficient ring element
Multiply by coefficient ring element
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
final
def
negativeOne: MultivariatePolynomialZp64
- Definition Classes
- Ring
-
final
def
notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @HotSpotIntrinsicCandidate()
-
final
def
notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @HotSpotIntrinsicCandidate()
-
final
def
one: MultivariatePolynomialZp64
- Definition Classes
- Ring
-
val
ordering: Ordering
- Definition Classes
- MultivariateRingZp64 → IMultivariateRing
-
def
parse(string: String): MultivariatePolynomialZp64
<invalid inheritdoc annotation>
<invalid inheritdoc annotation>
- Definition Classes
- Ring → IParser
-
def
ringEv(ev: MultivariatePolynomialZp64): Ring[MultivariatePolynomialZp64]
- Definition Classes
- Ring → RingSupport
-
def
setVariableNames(newVariables: Array[String]): MultivariateRingZp64
Set names of variables (new ring will be created)
Set names of variables (new ring will be created)
- Definition Classes
- MultivariateRingZp64 → IMultivariateRing → IPolynomialRing
-
final
def
stringify(e: Stringifiable[MultivariatePolynomialZp64]): String
Convert element to string
Convert element to string
- Definition Classes
- Ring
-
final
def
stringify(e: TraversableOnce[MultivariatePolynomialZp64]): String
Convert element to string
Convert element to string
- Definition Classes
- Ring
-
final
def
stringify(e: MultivariatePolynomialZp64): String
Convert element to string
Convert element to string
- Definition Classes
- Ring
-
def
subtractConstant(poly: MultivariatePolynomialZp64, el: Long): MultivariatePolynomialZp64
Subtract coefficient ring element
Subtract coefficient ring element
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
- AnyRef
-
val
theRing: poly.IPolynomialRing[MultivariatePolynomialZp64]
- Definition Classes
- IMultivariateRing → IPolynomialRing → Ring
-
def
toString(): String
<invalid inheritdoc annotation>
<invalid inheritdoc annotation>
- Definition Classes
- Ring → AnyRef → Any
-
def
toString(arg0: IStringifier[MultivariatePolynomialZp64]): String
- Definition Classes
- Stringifiable
-
final
def
variable(variable: String): Int
Index of variable with specified string representation
Index of variable with specified string representation
- Definition Classes
- IPolynomialRing
-
final
def
variableString(variable: Int): String
String representation of i-th variable
String representation of i-th variable
- Definition Classes
- IPolynomialRing
-
val
variables: Array[String]
- Definition Classes
- MultivariateRingZp64 → IPolynomialRing
-
final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
final
def
wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
final
def
wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
final
lazy val
x: MultivariatePolynomialZp64
The first variable
The first variable
- Definition Classes
- IPolynomialRing
-
final
lazy val
y: MultivariatePolynomialZp64
The second variable
The second variable
- Definition Classes
- IPolynomialRing
-
final
lazy val
z: MultivariatePolynomialZp64
The third variable
The third variable
- Definition Classes
- IPolynomialRing
-
final
def
zero: MultivariatePolynomialZp64
- Definition Classes
- Ring
Deprecated Value Members
-
def
finalize(): Unit
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @Deprecated @deprecated @throws( classOf[java.lang.Throwable] )
- Deprecated
(Since version ) see corresponding Javadoc for more information.
-
final
def
show(arg: Any): String
Pretty toString
Pretty toString
- Definition Classes
- Ring
- Annotations
- @deprecated
- Deprecated
use stringify