Class/Object

ap.theories.bitvectors

ModRing

Related Docs: object ModRing | package bitvectors

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class ModRing extends Ring with RingWithOrder with CommutativeRing with RingWithIntConversions

Modular arithmetic in the interval [lower, upper].

Linear Supertypes
Known Subclasses
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Inherited
  1. ModRing
  2. RingWithIntConversions
  3. CommutativeRing
  4. CommutativePseudoRing
  5. RingWithOrder
  6. Ring
  7. PseudoRing
  8. AnyRef
  9. Any
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Visibility
  1. Public
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Instance Constructors

  1. new ModRing(lower: IdealInt, upper: IdealInt)

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Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. def additiveGroup: Group with Abelian

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    Addition gives rise to an Abelian group

    Addition gives rise to an Abelian group

    Definition Classes
    PseudoRing
  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  6. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  7. val dom: ModSort

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    Domain of the ring

    Domain of the ring

    Definition Classes
    ModRingPseudoRing
  8. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  9. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  10. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  11. def geq(s: ITerm, t: ITerm): IFormula

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    Greater-than-or-equal operator

    Greater-than-or-equal operator

    Definition Classes
    RingWithOrder
  12. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  13. def gt(s: ITerm, t: ITerm): IFormula

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    Greater-than operator

    Greater-than operator

    Definition Classes
    RingWithOrder
  14. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  15. def int2ring(s: ITerm): ITerm

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    Conversion of an integer term to a ring term

    Conversion of an integer term to a ring term

    Definition Classes
    ModRingPseudoRing
  16. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  17. def isInt(s: ITerm): IFormula

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    Test whether a ring element represents an integer number.

    Test whether a ring element represents an integer number.

    Definition Classes
    ModRingRingWithIntConversions
  18. def leq(s: ITerm, t: ITerm): IFormula

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    Less-than-or-equal operator

    Less-than-or-equal operator

    Definition Classes
    ModRingRingWithOrder
  19. val lower: IdealInt

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  20. def lt(s: ITerm, t: ITerm): IFormula

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    Less-than operator

    Less-than operator

    Definition Classes
    ModRingRingWithOrder
  21. def minus(s: ITerm): ITerm

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    Additive inverses

    Additive inverses

    Definition Classes
    ModRingPseudoRing
  22. def minus(s: ITerm, t: ITerm): ITerm

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    Difference between two terms

    Difference between two terms

    Definition Classes
    PseudoRing
  23. def mul(s: ITerm, t: ITerm): ITerm

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    Ring multiplication

    Ring multiplication

    Definition Classes
    ModRingPseudoRing
  24. def multiplicativeMonoid: Monoid with Abelian

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    Multiplication gives rise to an Abelian monoid

    Multiplication gives rise to an Abelian monoid

    Definition Classes
    CommutativeRingRing
  25. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  26. final def notify(): Unit

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    Definition Classes
    AnyRef
  27. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  28. val one: ITerm

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    The one element of this ring

    The one element of this ring

    Definition Classes
    ModRingPseudoRing
  29. def plus(s: ITerm, t: ITerm): ITerm

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    Ring addition

    Ring addition

    Definition Classes
    ModRingPseudoRing
  30. def product(terms: ITerm*): ITerm

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    N-ary sums

    N-ary sums

    Definition Classes
    PseudoRing
  31. def ring2int(s: ITerm): ITerm

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    Conversion of a ring term to an integer term.

    Conversion of a ring term to an integer term. This should have the property that isInt(s) <=> int2Ring(ring2Int(s)) === s.

    Definition Classes
    ModRingRingWithIntConversions
  32. def summation(terms: ITerm*): ITerm

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    N-ary sums

    N-ary sums

    Definition Classes
    PseudoRing
  33. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  34. def times(num: IdealInt, s: ITerm): ITerm

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    num * s

    num * s

    Definition Classes
    PseudoRing
  35. def toString(): String

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    Definition Classes
    PseudoRing → AnyRef → Any
  36. val upper: IdealInt

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  37. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  38. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  39. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  40. val zero: ITerm

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    The zero element of this ring

    The zero element of this ring

    Definition Classes
    ModRingPseudoRing

Inherited from RingWithIntConversions

Inherited from CommutativeRing

Inherited from CommutativePseudoRing

Inherited from RingWithOrder

Inherited from Ring

Inherited from PseudoRing

Inherited from AnyRef

Inherited from Any

Ungrouped