spire.algebra

BooleanAlgebra

trait BooleanAlgebra[A] extends AnyRef

A boolean algebra is a structure that defines a few basic operations, namely as conjunction (&), disjunction (|), and negation (~). Both conjunction and disjunction must be associative, commutative and should distribute over each other. Also, both have an identity and they obey the absorption law; that is x & (y | x) == x and x | (x & y) == x.

Self Type
BooleanAlgebra[A]
Linear Supertypes
AnyRef, Any
Known Subclasses
BitString, BooleanIsBooleanAlgebra, BooleanStructure, ByteIsBitString, IntIsBitString, LongIsBitString, ShortIsBitString
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Abstract Value Members

  1. abstract def and(a: A, b: A): A

  2. abstract def complement(a: A): A

  3. abstract def one: A

  4. abstract def or(a: A, b: A): A

  5. abstract def zero: A

Concrete Value Members

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

    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

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

    Definition Classes
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  4. final def asInstanceOf[T0]: T0

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  5. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
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    Annotations
    @throws( ... )

  6. def dual: BooleanAlgebra[A]

  7. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  8. def equals(arg0: Any): Boolean

    Definition Classes
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  9. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
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    @throws( classOf[java.lang.Throwable] )

  10. final def getClass(): Class[_]

    Definition Classes
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  11. def hashCode(): Int

    Definition Classes
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  12. def imp(a: A, b: A): A

  13. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  14. def nand(a: A, b: A): A

  15. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  16. def nor(a: A, b: A): A

  17. final def notify(): Unit

    Definition Classes
    AnyRef

  18. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  19. def nxor(a: A, b: A): A

  20. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
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  21. def toString(): String

    Definition Classes
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  22. final def wait(): Unit

    Definition Classes
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    @throws( ... )

  23. final def wait(arg0: Long, arg1: Int): Unit

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    @throws( ... )

  24. final def wait(arg0: Long): Unit

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    @throws( ... )

  25. def xor(a: A, b: A): A

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