object QField extends SymbolicField[Rational]
Linear Supertypes
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Type Members
- type LocalTerm = RepTerm[Rational]
- Definition Classes
- SymbolicCRing
- type Op = Func[LocalTerm, Func[LocalTerm, LocalTerm]]
- Definition Classes
- SymbolicCRing
- case class Pos(value: QField.LocalTerm) extends Typ[PosWit] with Subs[Pos] with Product with Serializable
- case class PosLiteral(a: Rational) extends PosWit with Product with Serializable
- sealed trait PosWit extends Term with Subs[PosWit]
- case class PosWitProd(a: PosWit, b: PosWit) extends PosWit with Product with Serializable
- case class PosWitSum(a: PosWit, b: PosWit) extends PosWit with Product with Serializable
- case class SymbPosWit(name: AnySym, value: QField.LocalTerm) extends PosWit with Symbolic with Product with Serializable
- case class AddLiteral(a: A) extends Func[LocalTerm, LocalTerm] with MiscAppln with Product with Serializable
- Definition Classes
- SymbolicCRing
- 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
returns function x + _ where x is not a literal and is indecomposable under sum
- Definition Classes
- SymbolicCRing
- case class AdditiveMorphism[U <: LocalTerm with Subs[U]](base: Func[LocalTerm, U], op: (U, U) => U) extends Func[LocalTerm, LocalTerm] with Product with Serializable
- Definition Classes
- SymbolicCRing
- 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.
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.
- Definition Classes
- SymbolicCRing
- case class SigmaTerm(elems: Set[LocalTerm]) extends LocalTerm with FoldedTerm[LocalTerm] with Product with Serializable
- Definition Classes
- SymbolicCRing
- case class multLiteral(b: A) extends Func[LocalTerm, LocalTerm] with MiscAppln with Product with Serializable
- Definition Classes
- SymbolicCRing
- case class multTerm(x: LocalTerm) extends Func[LocalTerm, LocalTerm] with MiscAppln with Product with Serializable
- Definition Classes
- SymbolicCRing
Value Members
- val QTyp: LocalTyp.type
- implicit val cringStructure: CRing[LocalTerm]
- Definition Classes
- SymbolicCRing
- val dichotomy: FuncLike[RepTerm[Rational], Term]
- val divides: FuncLike[LocalTerm, FuncLike[LocalTerm, SigmaTyp[LocalTerm, Equality[LocalTerm]]]]
- Definition Classes
- SymbolicCRing
- val field: Field[Rational]
- Definition Classes
- SymbolicField
- implicit val fieldStructure: Field[LocalTerm]
- Definition Classes
- SymbolicField
- def funcSum(f: (LocalTerm) => LocalTerm, g: (LocalTerm) => LocalTerm): Func[LocalTerm, LocalTerm]
- Definition Classes
- SymbolicCRing
- lazy val leq: FuncLike[RepTerm[Rational], FuncLike[RepTerm[Rational], Pos]]
- lazy val minusone: LocalTerm
- Definition Classes
- SymbolicCRing
- def negate(x: LocalTerm): LocalTerm
- Definition Classes
- SymbolicCRing
- val posAndNegPos: FuncLike[RepTerm[Rational], FuncLike[Pos, FuncLike[Pos, Equality[RepTerm[Rational]]]]]
- final def posPower(x: LocalTerm, n: Int, accum: LocalTerm = Literal(one)): LocalTerm
- Definition Classes
- SymbolicCRing
- 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
returns power of x by n, in generality an error for negative n; should be overridden in fields, where negative powers are meaningful
- Definition Classes
- SymbolicField → SymbolicCRing
- lazy val predicate: (Rational) => Boolean
- Definition Classes
- SymbolicCRing
- lazy val reciprocal: Func[LocalTerm, LocalTerm]
- Definition Classes
- SymbolicField → SymbolicCRing
- val reciprocalOpt: Option[Func[LocalTerm, LocalTerm]]
override this in fields
override this in fields
- Definition Classes
- SymbolicCRing
- val ring: Ring[Rational]
- Definition Classes
- SymbolicCRing
- def showPositive(x: LocalTerm): Option[PosWit]
- val squarePositive: FuncLike[RepTerm[Rational], PosWit]
- val sumPositive: FuncLike[RepTerm[Rational], FuncLike[RepTerm[Rational], Func[PosWit, Func[PosWit, PosWit]]]]
- def toString(): String
- Definition Classes
- QField → AnyRef → Any
- val transpEqL: FuncLike[RepTerm[Rational], FuncLike[RepTerm[Rational], FuncLike[RepTerm[Rational], Func[Equality[RepTerm[Rational]], Func[PosWit, PosWit]]]]]
- val transpEqR: FuncLike[RepTerm[Rational], FuncLike[RepTerm[Rational], FuncLike[RepTerm[Rational], Func[Equality[RepTerm[Rational]], Func[PosWit, PosWit]]]]]
- val two: Rational
- Definition Classes
- SymbolicCRing
- val w: RepTerm[Rational]
- val x: RepTerm[Rational]
- val y: RepTerm[Rational]
- val z: RepTerm[Rational]
- case object PosZero extends PosWit with Product with Serializable
- object Comb
- Definition Classes
- SymbolicCRing
- object LitProd
matching, building for formal product with a literal
matching, building for formal product with a literal
- Definition Classes
- SymbolicCRing
- object Literal extends ScalaSym[LocalTerm, A]
- Definition Classes
- SymbolicCRing
- object LiteralSum
- Definition Classes
- SymbolicCRing
- object LocalTyp extends ScalaTyp[A]
- Definition Classes
- SymbolicCRing
- object PiTerm extends Serializable
- Definition Classes
- SymbolicCRing
- object Reciprocal
- Definition Classes
- SymbolicCRing
- object SigmaTerm extends Serializable
- Definition Classes
- SymbolicCRing
- case object prod extends Func[LocalTerm, Func[LocalTerm, LocalTerm]] with Product with Serializable
- Definition Classes
- SymbolicCRing
- case object sum extends Func[LocalTerm, Func[LocalTerm, LocalTerm]] with Product with Serializable
- Definition Classes
- SymbolicCRing