scala.math

Equiv

trait Equiv[T] extends Serializable

A trait for representing equivalence relations. It is important to distinguish between a type that can be compared for equality or equivalence and a representation of equivalence on some type. This trait is for representing the latter.

An equivalence relation is a binary relation on a type. This relation is exposed as the equiv method of the Equiv trait. The relation must be:

  1. reflexive: equiv(x, x) == true for any x of type T.
  2. symmetric: equiv(x, y) == equiv(y, x) for any x and y of type T.
  3. transitive: if equiv(x, y) == true and equiv(y, z) == true, then equiv(x, z) == true for any x, y, and z of type T.
Version

1.0, 2008-04-03

Since

2.7

Linear Supertypes
Serializable, java.io.Serializable, Any
Known Subclasses
BigDecimal, BigDecimalAsIfIntegral, BigDecimalAsIfIntegral, BigDecimalIsConflicted, BigDecimalIsFractional, BigDecimalIsFractional, BigDecimalOrdering, BigInt, BigIntIsIntegral, BigIntIsIntegral, BigIntOrdering, Boolean, BooleanOrdering, Byte, ByteIsIntegral, ByteIsIntegral, ByteOrdering, Char, CharIsIntegral, CharIsIntegral, CharOrdering, DeadlineIsOrdered, Double, DoubleAsIfIntegral, DoubleAsIfIntegral, DoubleIsConflicted, DoubleIsFractional, DoubleIsFractional, DoubleOrdering, DurationIsOrdered, FiniteDurationIsOrdered, Float, FloatAsIfIntegral, FloatAsIfIntegral, FloatIsConflicted, FloatIsFractional, FloatIsFractional, FloatOrdering, Fractional, Int, IntIsIntegral, IntIsIntegral, IntOrdering, Integral, Long, LongIsIntegral, LongIsIntegral, LongOrdering, Numeric, OptionOrdering, Ordering, PartialOrdering, Short, ShortIsIntegral, ShortIsIntegral, ShortOrdering, String, StringOrdering, Unit, UnitOrdering, ValueOrdering
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Inherited
  1. Equiv
  2. Serializable
  3. Serializable
  4. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def equiv(x: T, y: T): Boolean

    Returns true iff x is equivalent to y.

  2. abstract def getClass(): Class[_]

    Definition Classes
    Any

Concrete Value Members

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

    Definition Classes
    Any

  2. final def ##(): Int

    Definition Classes
    Any

  3. def +(other: String): String

    Implicit information
    This member is added by an implicit conversion from Equiv[T] to any2stringadd[Equiv[T]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd

  4. def ->[B](y: B): (Equiv[T], B)

    Implicit information
    This member is added by an implicit conversion from Equiv[T] to ArrowAssoc[Equiv[T]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()

  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any

  6. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  7. def ensuring(cond: (Equiv[T]) ⇒ Boolean, msg: ⇒ Any): Equiv[T]

    Implicit information
    This member is added by an implicit conversion from Equiv[T] to Ensuring[Equiv[T]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring

  8. def ensuring(cond: (Equiv[T]) ⇒ Boolean): Equiv[T]

    Implicit information
    This member is added by an implicit conversion from Equiv[T] to Ensuring[Equiv[T]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring

  9. def ensuring(cond: Boolean, msg: ⇒ Any): Equiv[T]

    Implicit information
    This member is added by an implicit conversion from Equiv[T] to Ensuring[Equiv[T]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring

  10. def ensuring(cond: Boolean): Equiv[T]

    Implicit information
    This member is added by an implicit conversion from Equiv[T] to Ensuring[Equiv[T]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring

  11. def equals(arg0: Any): Boolean

    Definition Classes
    Any

  12. def formatted(fmtstr: String): String

    Returns string formatted according to given format string.

    Returns string formatted according to given format string. Format strings are as for String.format (@see java.lang.String.format).

    Implicit information
    This member is added by an implicit conversion from Equiv[T] to StringFormat[Equiv[T]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()

  13. def hashCode(): Int

    Definition Classes
    Any

  14. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  15. def toString(): String

    Definition Classes
    Any

  16. def →[B](y: B): (Equiv[T], B)

    Implicit information
    This member is added by an implicit conversion from Equiv[T] to ArrowAssoc[Equiv[T]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from Serializable

Inherited from java.io.Serializable

Inherited from Any

Inherited by implicit conversion any2stringadd from Equiv[T] to any2stringadd[Equiv[T]]

Inherited by implicit conversion StringFormat from Equiv[T] to StringFormat[Equiv[T]]

Inherited by implicit conversion Ensuring from Equiv[T] to Ensuring[Equiv[T]]

Inherited by implicit conversion ArrowAssoc from Equiv[T] to ArrowAssoc[Equiv[T]]

Ungrouped