class SymbolicCRing[A] extends AnyRef
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Inherited
- SymbolicCRing
- AnyRef
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Implicitly
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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Visibility
- Public
- Protected
Instance Constructors
- new SymbolicCRing()(implicit arg0: Ring[A])
Type Members
- case class AddLiteral(a: A) extends Func[LocalTerm, LocalTerm] with MiscAppln with Product with Serializable
- case class AddTerm(x: LocalTerm) extends Func[LocalTerm, LocalTerm] with MiscAppln with Product with Serializable
returns function x + _ where x is not a literal and is indecomposable under sum
- case class AdditiveMorphism[U <: LocalTerm with Subs[U]](base: Func[LocalTerm, U], op: (U, U) => U) extends Func[LocalTerm, LocalTerm] with Product with Serializable
- type LocalTerm = RepTerm[A]
- type Op = Func[LocalTerm, Func[LocalTerm, LocalTerm]]
- case class PiTerm(multElems: Map[LocalTerm, Int]) extends LocalTerm with FoldedTerm[LocalTerm] with Product with Serializable
A product of terms in normal form, i.e., * none of the terms is a sum * we have either at least two terms or a single term with exponent not 1, * no exponent is 0.
- case class SigmaTerm(elems: Set[LocalTerm]) extends LocalTerm with FoldedTerm[LocalTerm] with Product with Serializable
- case class multLiteral(b: A) extends Func[LocalTerm, LocalTerm] with MiscAppln with Product with Serializable
- case class multTerm(x: LocalTerm) extends Func[LocalTerm, LocalTerm] with MiscAppln with Product with Serializable
Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- def +(other: String): String
- Implicit
- This member is added by an implicit conversion from SymbolicCRing[A] toany2stringadd[SymbolicCRing[A]] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
- def ->[B](y: B): (SymbolicCRing[A], B)
- Implicit
- This member is added by an implicit conversion from SymbolicCRing[A] toArrowAssoc[SymbolicCRing[A]] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- implicit val cringStructure: CRing[LocalTerm]
- val divides: FuncLike[LocalTerm, FuncLike[LocalTerm, SigmaTyp[LocalTerm, Equality[LocalTerm]]]]
- def ensuring(cond: (SymbolicCRing[A]) => Boolean, msg: => Any): SymbolicCRing[A]
- Implicit
- This member is added by an implicit conversion from SymbolicCRing[A] toEnsuring[SymbolicCRing[A]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: (SymbolicCRing[A]) => Boolean): SymbolicCRing[A]
- Implicit
- This member is added by an implicit conversion from SymbolicCRing[A] toEnsuring[SymbolicCRing[A]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean, msg: => Any): SymbolicCRing[A]
- Implicit
- This member is added by an implicit conversion from SymbolicCRing[A] toEnsuring[SymbolicCRing[A]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean): SymbolicCRing[A]
- Implicit
- This member is added by an implicit conversion from SymbolicCRing[A] toEnsuring[SymbolicCRing[A]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from SymbolicCRing[A] toStringFormat[SymbolicCRing[A]] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @inline()
- def funcSum(f: (LocalTerm) => LocalTerm, g: (LocalTerm) => LocalTerm): Func[LocalTerm, LocalTerm]
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- lazy val minusone: LocalTerm
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def negate(x: LocalTerm): LocalTerm
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def posPower(x: LocalTerm, n: Int, accum: LocalTerm = Literal(one)): LocalTerm
- Annotations
- @tailrec()
- def power(x: LocalTerm, n: Int): LocalTerm
returns power of x by n, in generality an error for negative n; should be overridden in fields, where negative powers are meaningful
- lazy val predicate: (A) => Boolean
- lazy val reciprocal: Func[LocalTerm, LocalTerm]
- val reciprocalOpt: Option[Func[LocalTerm, LocalTerm]]
override this in fields
- val ring: Ring[A]
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- AnyRef → Any
- val two: A
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- object Comb
- object LitProd
matching, building for formal product with a literal
- object Literal extends ScalaSym[LocalTerm, A]
- object LiteralSum
- object LocalTyp extends ScalaTyp[A]
- object PiTerm extends Serializable
- object Reciprocal
- object SigmaTerm extends Serializable
- case object prod extends Func[LocalTerm, Func[LocalTerm, LocalTerm]] with Product with Serializable
- case object sum extends Func[LocalTerm, Func[LocalTerm, LocalTerm]] with Product with Serializable
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- def →[B](y: B): (SymbolicCRing[A], B)
- Implicit
- This member is added by an implicit conversion from SymbolicCRing[A] toArrowAssoc[SymbolicCRing[A]] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @deprecated
- Deprecated
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